**ANSWER:**

The value of x is 16

**STEP-BY-STEP EXPLANATION:**

With the information given, they tell us that TVQ can be expressed in two ways, but in the end the value must be the same because it is the same angle.

Thanks to this we can make the following equality:

[tex]5x-22=3x+10[/tex]Solving for x:

[tex]\begin{gathered} 5x-3x=22+10 \\ 2x=32 \\ x=\frac{32}{2} \\ x=16 \end{gathered}[/tex]**Answer:**

16 is the answer

Which property is shown -2x1/-2=1

**Answer: The answer is Multiplicative Inverse.**

**Step-by-step explanation: I hope this helps.**

Maleri Designs sells cartons of cloth face masks ($18) and cartons of hand-sanitizer ($9) on eBay. One of their

customers, Mod World, purchased 21 cartons for $297. How many of cartons of each did Mod World purchase?

Check your answer. Hint: Let F= Face masks.

Answer:

F=12 C=9

Step-by-step explanation:

$18 12 times is $216 $9 9 times is $81 $216+81=$297

Luisa bought 4.4 kilograms of apples. How

many ounces of apples did she buy? Use the

conversion rates 1 kilogram = 2.20 pounds

and 1 pound = 16 ounces. Round to the

nearest ounce.

**Answer:**

155

**Step-by-step explanation:**

4.4(2.2)=9.68

9.68(16)=154.88

18. ALGEBRA Angles Q and R are supplementary. If m angle Q = 4x + 9 and m angle R = 8x + 3, what is the measure of each angle?

[tex]\begin{gathered} \text{When angles are supplementary, it means the sum of the Two angles is 180}^{\circ} \\ \text{ Q + R = 180}^{\circ} \\ (\text{ }4X\text{ + 9 ) + (8X + 3) = 180} \\ \text{ 4X + 9 + 8X + 3 = 180} \\ \text{ 12X + 12 = 180} \\ \text{ 12x = 180 -12} \\ \text{ 12X = 168} \\ \text{ X = }\frac{168}{12} \\ \text{ X = 14} \\ Angle\text{ Q = 4x + 9} \\ \text{ = 4 }\times\text{ 14 + 9 = }65^{\circ} \\ ^{^{\text{ }}}\text{ }Angle\text{ R = 8x + }3 \\ \text{ = 8 }\times\text{ 14 + 3} \\ \text{ =}112+3=115^{\circ} \end{gathered}[/tex]

Hi Please help me with math

**Answer:12**

**Step-by-step explanation:**

19. Which repon(s) represent students that enjoy wimming and tennis?TennisSwimmingAFHikingA BBDC. (BAND D)D. IA AND C)

To determine the regions that represent the students that enjoy swimming and tennis, we need to determine the intersection between the Swimming group and the Tennis group. This intersection is represented by the groups B and D. **The correct answer is C.**

An irrigation canal is 10 kilometers long and 2 meters deep. It is 4 meters wide at the 2 meters wide at the bottom. How many cubic meters of earth were excavated to make the canal?

The cross section of the canal will form a trapezoid. First, find the area of the cross section. The area of a trapezoid is defined as

[tex]\begin{gathered} A_{\text{trapezoid}}=\frac{a+b}{2}h \\ \\ \text{Given} \\ h=2\text{ meters (2 meters deep)} \\ a=4\text{ meters (4 meters wide)} \\ b=2\text{ meters (2 meters wide at the bottom)} \end{gathered}[/tex]Substitute the following values and we get the area

[tex]\begin{gathered} A=\frac{a+b}{2}h \\ A=\frac{4+2}{2}(2) \\ A=\frac{6}{2}(2) \\ A=6\text{ m}^2 \end{gathered}[/tex]Now that we have the area of the cross section, multiply it to the length of the irrigation canal.

[tex]\begin{gathered} \text{Before multiplying, all units must be the same, convert km to meters} \\ 10\operatorname{km}\rightarrow10,000\text{ meters} \\ 6\text{ m}^2\times10000\text{ meters} \\ \Longrightarrow60000\text{ m}^3 \end{gathered}[/tex]Therefore, **they have to excavate 60,000 cubic meters of earth to make the canal**.

Suppose 72% of students chose to study French their freshman year, and that meant that there were 378 such students. How many students chose not to take French their freshman year?

The number of** students** who chose not to take French their freshman year is 147.

According to the question,

We have the following information:

72% of students chose to study French their freshman year.

Now, 72% of students is equal to 378.

Let's take the** number** of students to be x.

So, we have:

72x/100 = 378

72x = 378*100

x = (378*100)/72

x = 525

Now, we have to find the number of students who chose not to take **French **their freshman year:

(100%-72%)

28%

Now, we have to find the 28% of total number of students:

(28*525)/100

14700/100

147

Hence, the number of students who chose not to take French their freshman year is 147.

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The number of people in thousands who own a cell phone is a function of the time in years starting in 1990 where p(t) = 20(1.075)^tGrowth or Decay?What is the initial amount of people who own cell phones?Determine the growth/decay rate.

**Solution**

Need help please. ASAP

(2y - 1)/ -3 = -5 , prove y = 8: **Hence proved**

5n - 42 = 12n, prove n = -6: **Hence proved**

2x + 30 = -4(5x -2), prove x = -1 : **Hence proved**

18x - 2(3x + 1) = 5x -16, prove x = -2 : **Hence proved**

**What is Algebra?**

One of the many different mathematical disciplines is **algebra**. **Algebra**, a common thread that runs through nearly all of mathematics, is the study of mathematical symbols and the rules for using them in formulas.

1) (2y - 1)/ -3 = -5

Solving for y

(2y - 1)/ -3 = -5

multiply both side with -3

(2y - 1) x (-3)/(-3) = (-5)(-3)

2y - 1 = 15

adding 1 both side

2y - 1 + 1 = 15 + 1

2y = 16

dividing 2 both side

2y / 2 = 16 / 2

y = 8

Hence Proved

2) 5n - 42 = 12n

Solving for n

5n - 42 = 12n

adding 42 both side

5n - 42 + 42 = 12n + 42

5n = 12n + 42

adding -12n both side

5n - 12n = 12n - 12n + 42

-7n = 42

dividing -7 both side

-7n/-7 = 42/ -7

n = -6

Hence proved

3) 2x + 30 = -4(5x -2)

solving for x

first simplify -4(5x -2)

2x + 30 = -20x + 8

adding 20x both side

2x + 20x + 30 = -20x + 20x + 8

22x + 30 = 8

adding -30 both side

22x + 30 - 30 = 8 - 30

22x = -22

dividing 22 both side

22x / 22 = -22/22

x = -1

Hence proved

4) 18x - 2(3x + 1) = 5x -16

solving for x

first simplify - 2(3x + 1)

18x - 6x - 2 = 5x - 16

adding -5x both side

18x - 5x - 6x - 2 = 5x - 5x - 16

13x - 6x - 2 = -16

7x - 2 = -16

adding 2 both side

7x - 2 + 2 = -16 + 2

7x = -14

dividing 7 both side

7x/ 7 = -14 / 7

x = -2

Hence proved

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A-) who won the race? a1)By how many yards of difference? B-) How many yards behind the starting line does Yolanda have to leave for the race to end in a draw?

EXPLANATION

Let's see the facts:

Race = 100-yard

Toko--> 10 yards < Yolanda

Second part:

Yolanda --> 10 yards behind the starting line

If each geil ran at the same speed as the first race, the appropiate relationship is as follows:

Yolanda's speed = 100 yards/race

Yoko's speed = 90 yards/race

Distance= ratex time

For the second race, Yolanda ran 110 yards at the same speed --> So it will take 110/100 = 1.1 times to finish the race.

Yoko runs 100 yards at the same speed so it will take her 100/90= 1.11111... times to finish the run.

As 1.11 is less time than 1.1111, Yolanda will win the race.

b) In order to finish in a tie, the times must be the same.

Let x be the head start given to Yoko so that they tie.

time = distance / rate

[tex]\frac{100+x}{100}=\frac{100}{90}[/tex]Multiplying both sides by 100:

[tex]100+x=100\cdot\frac{100}{90}[/tex]Subtracting -100 to both sides:

[tex]x=100\cdot\frac{100}{90}-100[/tex]Simplifying:

[tex]x=111.11111\ldots-100=11.111\ldots[/tex]So, if Yoko has 11.111... head start, they should tie on the next race.

Instructions for a chemical procedure state to mix salt, baking soda, and water in a 22 : 14 : 5 ratio by mass. How many grams of baking soda would be required to make a mixture that contains 55 grams of salt?

35 **grams** of baking **soda** will be required for the **mixture**

The ratio of mix salt to baking soda to **water** = 22:14:5

Let x be the total quantity of the **mixture**

A mixture is a substance composed of two or more unrelated chemical components. A physical blending of two or more substances that maintains their own identities takes the form of solutions, suspensions, or colloids.

Now the sum of the ratio is 22+14+5 = 41

So, 55 grams of salt = 22/41x

Solving for x we get:

x = 55*41/22

x = 102.5 grams

The total quantity of the mixture is 102.5 grams

Quantity of baking soda required = 14/41 of 102.5

= 14/41*102.5

= 35 grams

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Sean and Darryl are racing on a track. Sean runs 6 miles per hour and gets a 0.25 mile head start. Darryl runs 0.7 mile per hour faster than Sean. If Darryl and Sean run the same distance, how many hours, x, do they run? 6x + 0.25 = 0.7x 0 6x - 0.25 = 3.7x 0 6x +0.25 = 6.7x D 6x + 0.25 = 4.7x

*The relation between speed, distance and time is express as :*

Sean and Darryl are racing on a track.

Sean runs 6 miles per hour and gets a 0.25 mile head start.

Speed of Sean = 6

x is the time taken by Sean

So, Distance = speed x Time

Distance travel by sean = 6x

Since, Sean gets a 0.25 mile head start.

So, total distance travel = 6x + 0.25

Darryl runs 0.7 mile per hour faster than Sean,

Speed of darryl = 0.7 + Speed of sean

Speed of daryl = 0.7 + 6

Speed of darryl = 6.7 miles per hour

x is the time taken by Darryl

So, Distance = Speed x Time

Distance = 6.7x

Distance travel by Darryl = 6.7x

Since distance travel by darryl and sean is equal so,

**6x + 0.25 = 6.7x**

**Answer : C) 6x + 0.25 = 6.7x**

The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving Savings Account Week 0 1 13 Balance (dollars) 123 Based on the table, what was the rate of change of the balance of the student savings account in dollars and cents per week?

**7 dollars per week**

Rate of change = change in balance (dollars)/change in weeks

for (0, 32) and (1, 39)

Rate of change = (39 - 32)/(1 - 0)

Rate of change = 7/1 = 7

For (1, 39) and (3, 53)

Rate of change = (53 - 39)/(3 - 1)

Rate of change = 14/2

Rate of change = 7

**Since the rate of change is constant from calculation, then the rate of change of the balance of the student savings account in dollars and cents per week is 7 dollars per week**

In anatomy, a student learned that the average resting heart rate is between 60 and 100 beats per minute. The student decided to record the heart rate of people over five minutes while waiting in line at the pharmacy. The dot plot shows the results.

Dot plot with 1 dot at 62, 3 dots at 68, 1 dot at 69, 2 dots at 70, 3 dots at 72, 2 dots at 75, 1 dot at 76, 2 dots at 78, 3 dots at 80, and 2 dots at 89

Which statement below best describes the shape of the distribution?

The data is roughly symmetrical distributed, with most values clustered from 68 to 80 beats per minute. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.

The data is not symmetrically distributed, with most values clustered from 68 to 80 beats per minute. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.

The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.

The data is skewed left, with fewer values on the left end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.

The correct option regarding the data-set represented by the **dot plot **is represented as follows:

The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.

Dot plotA dot plot shows the** number of times** that each observation appears in the data-set.

Hence, the **complete **data-set in this problem is given as follows:

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89.

The **mean **of a data-set is the sum of the observations divided by the number of observations, hence it is given by:

Mean = (62 + 3 x 68 + 69 + 2 x 70 + 3 x 72 + 2 x 75 + 76 + 2 x 78 + 3 x 80 + 2 x 89)/20 = 74.55.

The **median **is the **middle value** of the data-set. The data-set has 20 elements, hence the median is the mean of the 10th and the 11th element, given as follows:

Median = (72 + 75)/2 = 73.55.

The mean is greater than the median, hence the data is **right skewed** and the correct option is given as follows:

The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.

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Answer: A/The data is roughly symmetrical distributed, with most values clustered from 68 to 80 beats per minute.

Step-by-step explanation: Just got it right on the test

Suppose you pay only the interest on a loan. Will the loan ever be paid off? Why or why not? I have no idea if this is correct

No. if only the interest is paid, the principal never decreases

Question: Between what two conSecutive integers does v145 fall?{ } { }

We can find the answer to this question by using the known exact square roots of the following numbers:

[tex]\begin{gathered} \sqrt[]{144}=12 \\ \sqrt[]{169}=13 \end{gathered}[/tex]And as you can see, the number 145 is between 144 and 169.

Thus, its square root, must be between the integer values of **12 and 13.**

The value of a in y = ax²+bx+c and the vertex of the parabola are given. How many x-intercepts does the parabola have? Explain how you arrived at this number.a=1; vertex at (2,0)The parabola has x-intercept(s), because the parabola opensand the vertex isthe x-axis.

**Given: **The value of 'a' in y = ax²+bx+c is a=2 and vertex is at (2,0).

**Required:** To find the x-intercepts.

**Explanation: **The x-coordinate of the vertex is 2. Also, we know that x-coordinate is given by

Hence, putting the value of x=2 and a=1 we get

[tex]\begin{gathered} 2=-\frac{b}{2(1)} \\ b=-4 \end{gathered}[/tex]Now putting y=0, x=2, a=1, and b=-4 in eq of parabola we get

[tex]\begin{gathered} 0=2^2-4(2)+c \\ c=4 \end{gathered}[/tex]Now the equation of the parabola is,

[tex]y=x^2-4x+4[/tex]Now to find x-intercepts put y=0 i.e.,

[tex]\begin{gathered} x^2-4x+4=0 \\ (x-2)^2=0 \\ x=2,2 \end{gathered}[/tex]Hence there is only one x-intercept at (2,0). The opening of the parabola can be seen in the graph below-

**Final Answer: The parabola has one x-intercept because the parabola opens upward and the vertex is on the x-axis.**

Orlandis earned 2.5% interest on a bank balance of $80. What is the amount of interest earned?

**Given**

Bank balance = $80

Interest rate = 2.5%

Amount of interest earned = 2.5% of $80

Amount of interest earned = 2.5/100 of $80

Amount of interest earned = (2.5*80)/100

Amount of interest earned = 200/100

Amount of interest earned = $2.0

**hence the amount of interest rate is $2.0**

in a classroom challenge,students had to create a triangular pyramid using various items. Each group then use your measurements to remind the volume . which group found the volume of triangle pyramid with a base area of 16 square in?

[tex]\frac{1}{3}(\frac{8×4}{2})\times q\text{ (option D)}[/tex]Explanation:

Volume of a triangular pyramid = 1/3 × base area × height

We have been given base area as 16 square in

Volume of a triangular pyramid = 1/3 × 16 × height

We need to check the options for the expression whose result will give a base area of 16 square in.

From the options:

(8×3)/2 = 12

(11×4)/2 = 22

(16 ×18)/2 = 144

(8 × 4)/2 = 16

**1/3 and the height is common to all options. The expression in bracket represent the base area.**

Hence, the group that found the volume of triangle pyramid with a base area of 16 square in is

[tex]\frac{1}{3}(\frac{8 ×4}{2})\times q\text{ (option D)}[/tex]rewrite using a single positive exponent (4^-3)^7

The given expression is

(4^-3)^7

We would apply the law of exponents which is expressed as

(a^- b) = 1/a^b

We can see that

a = 4

b = - 3

Writing it using a single positive exponent, it becomes

4^ - 3 = 1/4^3 = 1/64

**The final expression would be**

**(1/64)^7**

Find the probability of selecting a 10 or diamond when a card is drawn from a standard deck of cards.

**The probability of selecting a 10 or Diamond when a card is drawn from a standard deck of cards is: 17/52**

The question asks us to find the probability of picking a 10 or diamond from a deck of cards.

A standard deck of cards contains 52 cards in total.

The deck contains 4 "10s"

And the deck also contains 13 diamond cards.

Thus, we can find the probability of drawing a "10" as:

[tex]P(10)=\frac{n\text{umber of 10s}}{total\text{ number of cards in deck}}=\frac{4}{52}[/tex]Similarly, we can find the probability of drawing a diamond as:

[tex]P(\text{diamond)}=\frac{n\text{umber of diamonds}}{total\text{ number of cards in deck}}=\frac{13}{52}[/tex]Now that we have the individual probabilities, we can find the probability of drawing a 10 or a diamond using the OR probability:

[tex]\begin{gathered} P(A\text{ OR B)= P(A) + P(B)} \\ \text{where, A and B are independent events} \end{gathered}[/tex]Therefore, we can solve the question. This is done below:

[tex]\begin{gathered} \text{Probability of selecting a 10 or a diamond P(10 OR Diamond)=} \\ P(10)+P(\text{Diamond)} \\ \\ \text{But P(10)=}\frac{4}{52} \\ P(\text{Diamond)}=\frac{13}{52} \\ \\ \therefore P(10\text{ OR Diamond)=}\frac{4}{52}+\frac{13}{52}=\frac{17}{52} \end{gathered}[/tex]**Thus, the probability of selecting a 10 or Diamond when a card is drawn from a standard deck of cards is: 17/52**

Find the value of X in the length of VR

Since V is between R and T, then:

[tex]RT=VR+VT\text{.}[/tex]Substituting VR=3x, VT=5x+9, RT=33, and solving for x we get:

[tex]\begin{gathered} 33=3x+5x+9, \\ 33=8x+9, \\ 33-9=8x, \\ 8x=24, \\ x=3. \end{gathered}[/tex]Substituting x=3 in VR we get:

[tex]\text{VR}=3\cdot3=9.[/tex]**Answer:**

The value of x is **3**.

The length of VR is **9**.

which describes the domain of the figure represented below? ANSWER CHOICES :[8,0)(0,8)[0,8)

We have the following:

The domain is the input values or also the x-axis values.

According to the graph we can see that we go from 0 to 8.

Because the point at 0 is filled, it means that it includes the number and that means that it is a closed interval [].

On the contrary, at point 8, the point is hollow, it means that it reaches 8, but it does not include the number 8, which means that it is an open interval ().

Which means that the correct answer is:

**[0, 8)**

Help please!

I can’t find the probability of a pretty girl telling me the answer to what 2x2 is

May I ask you, pretty girl, what is it?

**Answer: depends how often you meet someone**

**Step-by-step explanation: You can multiply 2 times 2 and if you know the answer to that multiply that times the number of times u meet someone and divide by 2. **

10. Given: BD || CE25= 26Prove: AC = AE(a) BD ICE(b) AC AE(c) 25* LC; 26 = LE(d) 25 = 26(e) LC= LE6DE

The image contains a figure in which angles and sides are named, some data is given, and the proof is to be provided.

Every proof starts with the given data.

Thus, from the options, we select those containing the information provided:

a) BD is parallel to CE

d) Angle 5 is congruent to angle 6

Now we can see the segments AB and AD have one tick mark. This means they are congruent or have the same measure.

AB is congruent to AD

The triangle ABD, having two equal sides, is isosceles. Every isosceles triangle has two congruent angles, in this case, angles 5 and 6.

Thus, the next step in the proof is:

c) Angle 5 is congruent to C and angle 6 is congruent to E

Because of the transitive property of congruence, it follows:

e) Angles C and D are congruent

Being two angles in a triangle congruent, it follows the triangle is isosceles, thus:

b) AC and AE are congruent

This is the final step of the proof

Can someone solve this equation using the quadratic formula and simplifying in radical form if needed

For a quadratic equation of the form:

[tex]av^2+bv+c=0[/tex]The quadratic formula is:

[tex]v_{1,2}=\frac{-b\pm\sqrt[]{b^2-4\cdot a\cdot c}}{2\cdot a}[/tex]In this case, we have the eqaution:

[tex]11v^2+8v=4[/tex]First, let's rest 4 on both sides to get 0 in the right hand side:

[tex]11v^2+8v-4=0[/tex]Then we can use the quadratic formula:

[tex]v_{1,2}=\frac{-8\pm\sqrt[]{8^2-4\cdot11\cdot(-4)}}{2\cdot11}[/tex]And solve:

[tex]\begin{gathered} v_{1,2}=\frac{-8\pm\sqrt[]{64^{}+176}}{22} \\ v_{1,2}=\frac{-8\pm\sqrt[]{240}}{22} \\ v_{1,2}=\frac{-8\pm\sqrt[]{16}\sqrt[]{15}}{22} \\ v_{1,2}=\frac{-8\pm4\sqrt[]{15}}{22} \\ v_{1,2}=\frac{-4\pm2\sqrt[]{15}}{11} \end{gathered}[/tex]Then the two solutions are:

[tex]\begin{gathered} v_1=\frac{-4-2\sqrt[]{15}}{11} \\ v_2=\frac{-4+2\sqrt[]{15}}{11} \end{gathered}[/tex]Due to increased mailing costs, the new rate will cost publishers $50 million; this is 12.5% more than they

paid the previous year. How much did it cost publishers last year? Round to the nearest hundreds.

The amount it will **cost **the** publishers** last year is 44.4 million

The first step is to write out the parameters

The cost of mailing increased for the last one year

Due to this increase, it will cost the **publishers** $50 million for this current year

The increase is at the rate of 12.5%

The amount it will **cost** the** publishers **last year can be calculated as follows

= 12.5/100

= 0.125 + 1

= 1.125

The next step is to calculate last year** cost**

last year **cost**= 50/1.125

= 44.4 million

Hence the** publishers** spent 44.4 million last year

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7. Write the slope-intercept form of the equation of the line through the given point with the given slope. Write answer as y=mx+b. through: (-1, 1), slope = -6 Vour answer

**Answer:**

** y = -6x - 5**

**Explanation:**

The equation of a line with slope m that passes through the point (x1, y1) can be calculated using the following equation:

[tex]y-y_1=m(x-x_1)[/tex]So, replacing (x1, y1) by (-1, 1) and m by -6, we get:

[tex]\begin{gathered} y-1=-6(x-(-1)) \\ y-1=-6(x+1) \end{gathered}[/tex]Now, to write the answer as y = mx + b, we need to solve the equation for y, so we get:

[tex]\begin{gathered} y-1=-6(x)-6(1) \\ y-1=-6x-6 \\ y-1+1=-6x-6+1 \\ y=-6x-5 \end{gathered}[/tex]Therefore, the answer is y = -6x - 5

A+(b+c)=(a+b)+c what property is this? The options are as follows

Identity property of multiplication

Associative property of multiplication

Identity prop. Of addition

Multiplicative inverse prop.

Additive inverse prop.

Commutative prop of addition

Commutative prop of multiplication

Transitive property

Properties

**Given:**

The properties and their notations are given.

**To match:**

**Explanation:**

31. It is given that,

[tex]a+0=a[/tex]Since zero is the additive identity.

So, the property is an **identity property of addition.**

32. It is given that,

[tex]a+b=b+a[/tex]Here, the property is** the commutative property of addition.**

33. It is given that,

[tex]a\cdot(b\cdot c)=(a\cdot b)\cdot c[/tex]Here, the property is an **Associative property of multiplication.**

34. It is given that,

[tex]a+(-a)=0[/tex]Since -a is the additive inverse of a.

So, the property is **the Inverse property of addition.**

35. It is given that,

[tex]a\cdot1=a[/tex]Since 1 is the multiplicative identity.

So, the property is an **identity property of multiplication.**

36. It is given that,

[tex]a\cdot(b+c)=ab+ac[/tex]Here, the property is a **distributive property of addition.**

37. It is given that,

[tex]a\cdot b=b\cdot a[/tex]Here, the property is a **commutative property of multiplication.**

38. It is given that,

[tex]a\cdot\frac{1}{a}=1[/tex]Here, the property is an **inverse property of multiplication.**

39. It is given that,

[tex]a+(b+c)=(a+b)+c[/tex]Here, the property is an **Associative property of addition.**

**Final answer:**

31. E

32. A

33. D

34. AC

35. AB

36.

Which is correct for this function pls help
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Evaluate the expression when c =-2.5 and d= 8.9.4d-c
What is the area of the square aboye?156 square units52 square units65 square units169 square unitsOA.OB.OC.OD.13 unitsWill mark brainiest
control of gene expression in eukaryotic cells occurs at which level(s)? only the transcriptional level epigenetic and transcriptional levels epigenetic, transcriptional, and translational levels epigenetic, transcriptional, post-transcriptional, translational, and post-translational levels
Solve the inequality.x + 3x - 28 < 0
I need helpQuestion 3When you answer a naysayer's objection, it does not have to be an all-or-nothing approach.O TrueFalse
A student claims that the processes of independent assortment and crossing over occurredduring meiosis and that meiosis produces diploid cells that have increased genetic variationwhich of the following is the best evaluation of the students claim?A. Incorrect- meiosis result in the production of multiple haploid cells that have no geneticvariation.B. Incorrect- Meiosis produces haploid cells that are unique as a result of independentassortment and crossing over.C. Correct-meiosis forms diploid cells with high levels of genetic variation that divide andgrow into a new Organism.D. Correct- meiosis has multiple divisions that uses independent assortment and crossingover to produce diploid cells.
Ryan, Darius, and Mason each have $15.75. They each spend the same amount (d), in dollars, at the school fair. The total amount of money they still have can be expressed as 3(15.75 - d). Which expression is equivalent to the total amount, in dollars, they still have?
on a two lane highway, a car is following a pickup truck. at one instant, the car has a speed of 32 m/s and is 184 m behind the truck. at the same time, the truck has a speed of 28 m/s. if neither vehicle accelerates, how long will it take the car to catch up to the truck?
the registered nurse (rn) supervises the lpn/lvn administering a purified protein derivative (ppd) tuberculin skin test to a client. which step should the rn establish the need to intervene? the lpn/lvn: responses
Use the diagram to answer the question that follows What is the image of c under the translation described by the translation rule (x,y) (x+11, y-8) D B E A
Through Viking Brokerage, Erin purchased $23,510 worth of stock and paidher broker a 1% broker fee. She sold when the stock price increased to$27,300, and used a discount broker who charged $21 per trade. Computeher net proceeds.
what diameter must a copper wire have if its resistance is to be the same as that of an equal length of aluminum wire with diameter 1.94 mm ?
A rocket toy moves straight upward, starting from rest with an acceleration of 4 m/s2. It runs out of fuel at the end of 10 s and continues to coast upward, reaching a maximum height before falling back to eartha. Find the rockets velocity and position at the end 10 sB. Find the velocity before the rocket crashes on the groundC. Find the time flight of rocke
what are the advantages and disadvantages of the medicine bag?