Solution

Step 1

Write the equation

[tex]6x\text{ - 5 = 25}[/tex]Step 2

Apply the addition equality theorem

[tex]\begin{gathered} 6x\text{ - 5 = 25} \\ \\ Add\text{ 5 to both sides:} \\ \\ 6x-5+5=25+5 \\ \\ 6x\text{ = 30} \end{gathered}[/tex]Step 3

Use the division equality theorem:

[tex]\begin{gathered} 6x\text{ = 30} \\ \\ Divide\text{ both sides by 6} \\ \\ \frac{6x}{6}\text{ = }\frac{30}{6} \\ \\ x\text{ = 5} \end{gathered}[/tex]Final answer

**x = 5**

evaluate the following expression using exponential rules write the result in standard notation

this is

[tex]undefined[/tex]I need help with my pre-calculus homework, please show me how to solve them step by step if possible. I need help with how to apply the problem on the calculator. The image of the problem is attached.Instructions: Make sure your calculator is in degree mode.

[tex]\text{ }\frac{9π}{20}\text{ radians (option A)}[/tex]Explanation:

To convert 81 degrees to radian, we will apply the conversion:

**1 π rad = 180°**

let the 81° in rad = y

1 π rad = 180°

y = 81°

cross multiply:

1π rad (81) = 180 y

**To get y, we divide both sides by 180:**

What is the probability that a card drawn randomly from a standard deck of 52 cards is a red four? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

We have a deck of 52 cards.

We have to calculate the probability that when a card is randomly drawn from the deck, this cart is a red four.

There is only one red four in the deck. Then, if we calculate the probability of an event as the quotient between the number success events (getting a red four, in this case) and the total possible events (getting any card), we will get:

[tex]p=\frac{S}{N}=\frac{1}{52}[/tex]As there is only one card in the deck that gives a success event within the 52 cards, the probability is 1 in 52.

**Answer: the probability is 1/52.**

Finding Slope

HELP ME PLS

Answer:

-3 because (-1,-7) and (1,-13) takes -6 to get from -7 to -13 and 2 to get from -1 to 1. -6/2 is -3, so the slope/answer is -3.

Step-by-step explanation:

**Answer:**

Formula for finding slope is given as y2-y1 ÷ x2-x1 or y1-y2 ÷ x1-x2, where x and y are the coordinates of the points.

Slope = -13-(-7) ÷ 1-(-1)

= (-13+7) ÷ (1+1)

= -6 ÷ 2

= -3

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5

The three **equations** that have the same value of x as 3/5(30 x minus 15) = 72 are:

**Equations** are mathematical statements that show the **equality** of **mathematical expressions**.

These statements claim that two or more **expressions** are equal or equivalent.

To show this equality, the **expressions** are joined with the **equal sign (=)**.

3/5(30x - 15) = 72

= 18x - 9 = 72

18x = 81

x = 4.5 (81/18)

Thus, the three correct **equations**, sharing the same value of x as 3/5(30 x minus 15) = 72 are Options C, D, and E.

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Question Completion with Options:A) 18x - 5 = 72

B) 50x - 25 = 72

C) 18x - 9 = 72

D) x = 4.5

E) 18x = 81

Measure the angle in degrees.0806100-110120130140150160170-1800The measure of this angle is

**The measure of this angle is 65°**

**The measure of this angle is 60°**

**Explanation:**

1) From the diagram the angle is between 10° and 75°

One of the arrows is on 10°

the other arrow is on 75°

the measure of the angle is between the two angles, so we subtract the smaller one from the bigger one

**The angle in degrees is the difference between the 75° and 10°**

= 75 - 10

= 65°

**The measure of this angle is 65°**

2) The second diagram is from 0° to 60°

Difference between them = 60° - 0°= 60°

**The measure of this angle is 60°**

State one rational number between -0.45 and -0.46 (answer must be in decimal form.)

A **rational number** between the two given ones is -0.455, such that:

-0.45 > -0.455 > -0.46

How to find a rational number between the two given ones?A **rational number** is any number that can be written as a quotient between two integer numbers.

Particularly, any number with a finite number of digits after the decimal point is also a** rational number.**

So to find a** rational numbe**r between -0.45 and -0.46 we could se:

-0.455, such that:

-0.45 > -0.455 > -0.46

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There are 21 cats and 17 dogs in an animal shelter. What fraction of the animals are cats?

A)21/38

B)21/17

C)17/21

D)17/38

**Answer: ** **B) 21/17**

**Step-by-step explanation:**

**Answer:**

21/38

**Step-by-step explanation:**

Demonoator= 21+17=38

Numerator= number of cats

Have a great day

Pls mark brainliest

(｀・ω・´) thx for answering

**Answer:**

3nd one

**Step-by-step explanation:**

Hope I helped!

If I got it incorrect, please tell me, so I can at least try and see what I did wrong.

A bag contains 1 gold marbles, 7 silver marbles, and 25 black marbles. Someone offers to play this game: You randomlyselect one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.What is your expected value if you play this game?

Okay, here we have this:

Considering the provided information, we are going to calculate the expected value for the game, so we obtain the following:

We will substitute in the following formula:

Expected Value=(Black Gain)*Black Chance (Gold Gain)*Gold Chance+(Silver Gain)*Silver Chance

Expected Value=(-1)*(25/33)+(3)*(1/33)+(2)*(7/33)

Expected Value≈-0.24

**Finally we obtain that the expected value is approximately $-0.24.**

which expression would be easier to simplify if used the associative property to change the group.A.4+(1.2 +(-0.2)b. 85+(120+80)c. (2+3/7)+4/7d. [-40+(60)] +52

The easiest expression to simplify by using the associative property is expression "b", since there is an addition already set (120 + 80 =200) to be performed.

'The other expressions involve more steps.

Define a variable, used let statements, set up an equation, then solve. Morgan is making two cookie recipes. Recipe A calls for one-third third less than twice the number of cups of sugar that Recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for Recipe A?

**EXPLANATION**

Let's see the facts:

-Morgan is making ----------------> 2 cookie recipes.

Recipe A ---> A = 2RecipeB -(1/3) 2RecipeB

-She needs-----------> Recipe A + Recipe B = 4 1/6 cups of sugar

Now, we have a system of equations:

(1) A = 2B -(1/3)2B

(2) A + B = 4 1/6

Multiplying both sides of (1) by 3:

3A = 6B - B

Simplifying:

3A = 5B

Isolating B:

B = 3/5 A

Substituting B-value in (2)

[tex]A\text{ + }\frac{3}{5}A\text{ = 4}\frac{1}{6}[/tex]Reordering:

[tex]A+\frac{3}{5}A=\text{ }\frac{25}{6}[/tex]Multiplying both sides by 30:

[tex]30A\text{ + 18A = 25}\cdot5[/tex][tex]48A\text{ = 125}[/tex]Dividing both sides by 48:

[tex]A\text{ = }\frac{125}{48}[/tex]Representing as mix fraction and rounding:

[tex]A=\text{ 2}\frac{2}{3}[/tex]**ANSWER: She will need two and two-thirds cups of Recipe A.**

Write a formula for the function of tamed when the graph is shifted as described below

Given the function

[tex]f(x)=|x|[/tex]Then, the function is shifted down 3 units means you subtract 3 to f(x).

[tex]f(x)=|x|-3[/tex]And the function is shifted to the right 1 unit means you subtract 1 from the argument of f(x), this is "x". Therefore, the new function is:

[tex]f(x)=|x-1|-3[/tex]**Answer:**

Determine the cost of a taxi trip of 9 miles if the fare is $1.10 forthe first 1/6 mile and $.20 for each additional 1/6 mile (or fraction).a. $1.80b. $10.50c. $9.30d. $11.70

We are given :

-Cab fare for the first 1/6 mile = $1.10

-subsequent miles = $20

- total miles = 9

Calculations :

• 9 -1/6 = 54/6

= 54/6 - 1/6

= 53/6

• y = 1.10 + 53* 0.20 =$11.70

**So correct option is number D **

What are three fractions equivalent to 5/4

The Three Fractions are :-

10/8, 15/12, 20/16

which of the following is the equation of the line that passes through the point (-3,7) and is parallel to the y-axis.

**ANSWER**

**EXPLANATION**

We want to write the equation of the line that passes through the point (-3, 7) and is parallel to the y-axis.

The general equation of a line is given as:

[tex]y=mx+c_{}[/tex]where m =slope

c = y intercept

A line parallel to the y-axis is a vertical line. The slope of a vertical line is undefined and so **the equation of a vertical line is given as:**

where a is the x coordinate of any point that it passes through.

Therefore, since the line passes through (-3, 7), **the equation of the line is:**

Which equation represents a line that has a slope of 1/3 and passes through point (-2, 1)? O y=1/3x-1 Oy=1/3x+5/3 O y=1/3 x-5/3 O y=3x+1

**Explanation:**

The equation of a line in the slope-intercept form is:

[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.

We have that the line has a slope of 1/3:

[tex]y=\frac{1}{3}x+b[/tex]To find the y-intercept b we have to use the point. Replace x = -2 and y=1 and solve for b:

[tex]\begin{gathered} 1=\frac{1}{3}(-2)+b \\ 1=-\frac{2}{3}+b \\ b=1+\frac{2}{3}=\frac{5}{3} \end{gathered}[/tex]**Answer:**

The equation is:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]Cameron is playing 9 holes of golf. He needs to score a total of at most 11 over par on the last four holes tobeat his best golf score. On the last four holes, he scores 5 over par, 3 under par, 6 over par, and 3 underpar.Part 1 out of 3Enter and find the value of an expression that gives Cameron's score for 4 holes of golf.The expression is? Cameron's score is?Can someone please help?

Let the numbers over par is (+) and the numbers under par is (-)

he scores 5 over par, 3 under par, 6 over par, and 3 under

par.

so, the expression is : (5) + (-3) + (6) + (-3)

So, the result will be:

over par = 5 + 6 = 11

under par = 3 + 3 = 6

subtract under par from over par

so, 11 - 6 = 5

So, the Cameron's score = 5

6) Write an equation of the line parallel to: y = -1/4x + 8 with a y-intercept of -10.

The given equation is

[tex]y=-\frac{1}{4}x+8[/tex]The y-intercept of the new line is -10.

We have to find a new parallel line to the given equation, which means they must have the same slope.

Remember that the coefficient of *x* is the slope, so the slope of the given line is -1/4. This means the new line has a slope fo -1/4 because it's parallel.

So, we know that the new line has a slope of -1/4 and its y-intercept is -10. We use the slope-intercept form to write the equation.

[tex]\begin{gathered} y=mx+b \\ y=-\frac{1}{4}x-10 \end{gathered}[/tex]Therefore, the equation is[tex]y=-\frac{1}{4}x-10[/tex]Add.

−2.35+(−1.602)

Enter your answer in the box.

**Answer:**

i think its

**-3.952**

Nina has 19.50 to ride the subway around New York it will cost her 0.75 every time she rides identify the dependent variable and independent variable in this scenario

The **independent variable **is the cost of riding the subway.

The **dependent variable **is the number of times she can ride the subway.

The** independent variable** is the variable whose value is given. It is the value of the **independent variable **that determines the **dependent variable. **The **dependent variable **is the variable whose value is determined by changes in the independent variable.

In this question, the cost of each ride is given. There is little or nothing Nina can do to change the price of the **subway ride**. Thus, it is the **independent variable. **The total amount of rides Nina can go on is dependent on the cost per ride and the total amount she has. Thus, it is the **dependent variable**.

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Solve the system of equations below to find it's solution. List the x-coordinate and y-coordinate.y = 2x - 56x - 2y= 20

y = 2x - 5 Eq(1)

6x - 2y= 20 Eq(2)

We are going to use the elimination method to solve the system.

y-2x = -5 Transpose x to the othe side in Eq(1)

2y - 4x = -10 Multiply all terms of Eq(1) by 2. Then add Eq(1) to Eq(2)

2y - 4x = -10

+ -2y +6x= 20

----------------------

2x = 10 Operating like terms

x= 10/2 Isolating x

x = 5

Replacing x in Eq(1)

y = 2*(5) -5

y= 10 - 5 = 5

The answer is the point with coordinates ( 5 (x-coordinate) , 5(y-coordinate)).

At the toy store you could get 4 board games for $22.96. Online the price for6board games is $34.74. Which place has the Highest price for a board game?￼

To determine the price for each board game on the stores, we need to divide the total price by the number of board games bought.

[tex]\begin{gathered} \text{board 1}=\frac{22.96}{4}=5.74 \\ \text{board 2}=\frac{33.74}{6}=5.79 \end{gathered}[/tex]**The price online is higher, because it is $5.79 per board game.**

Find the missing value.Hint: Use the number line to find the missing value.-(-5) = -7A-15-10-5051015

Given:

The expression is ___-(-5) = -7.

The objective is to find the missing value using number line.

Consider the missing value as *x*.

Now, the expression can be rearranged as,

[tex]\begin{gathered} x-(-5)=-7 \\ x+5=-7 \\ x=-7-5 \end{gathered}[/tex]So, we have to solve -7-5 on number line, which means starting from -7 subtract 5 in the number line.

**Hence, the missing value is -12.**

the function h is defined by the following rule. =hx+−x1

The complete **table of values **for the x values in function h(x) is

x | -2 -1 0 1 2

h(x) | 3 2 1 0 -1

How to complete the table of the function h(x)?From the question, the definition of the **function **is given as

h(x) = 1 - x

Also, from the **table **of the values;

We have the following x values

x = -2, -1, 0, 1 and 2

The next step is that

We **substitute **each value of x in the equation h(x) = 1 - x

So, we have

When x = -2

h(-2) = 1 + 2

Evaluate

h(-2) = 3

When x = -1

h(-1) = 1 + 1

Evaluate

h(-1) = 2

When x = 0

h(0) = 1 + 0

Evaluate

h(0) = 1

When x = 1

h(1) = 1 - 1

Evaluate

h(1) = 0

When x = 2

h(2) = 1 - 2

Evaluate

h(2) = -1

When represented on a table of values, we have

x | -2 -1 0 1 2

h(x) | 3 2 1 0 -1

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**Possible question**

The function h is defined by the following rule h(x) = 1 - x

Find H(x) For Each x-Value In The Table

x = -2, -1, 0, 1 and 2

A phone company offers two monthly plans. Plan A costs $19 plus an additional $0.07 Tor each minute of calls. Plan B costs $12 plus an additional $0.11 for each minute of calls. For what amount of calling do the two plans cost the same? minutes What is the cost when the two plans cost the same? Х Submit AS

**Explanation**

**Step 1**

let x represents the number of minutes.

hence:

Plan A costs $19 plus an additional $0.07 for each minute of calls

[tex]A=19+0.07x[/tex]Plan B costs $12 plus an additional $0.11 for each minute of calls

[tex]B=12+0.11x[/tex]**Step 2**

there is a number of minutes x, such both plnas cost the same,so

[tex]undefined[/tex]Ahmad will rent a car for the weekend. he can choose one choose one of two plans. the first plan has an initial fee of $55 and cost an additional $0.13 per mile driven the second plan has an initial fee of $48 and cost am additional $0.17 per mile driven

**SOLUTION **

(a) The first plan cost $55 and an additional $0.13 per mile driven,

while the second plan cost $48 and an additional $0.17 per mile driven

Let the amount of driving be **x**

Then, this means that for the first plan we have

[tex]\begin{gathered} 55+(0.13\times x) \\ =55+0.13x \end{gathered}[/tex]And the second plan becomes

[tex]\begin{gathered} 48+(0.17\times x) \\ =48+0.17x \end{gathered}[/tex]So, for the plans to cost the same for a particular amount of driving **x**, it means that

Collecting like terms we have

[tex]\begin{gathered} 55-48=0.17x-0.13x \\ 7=0.04x \\ x=\frac{7}{0.04} \\ x=175 \end{gathered}[/tex]**Hence the two plans cost the same at 175 miles **

(b) The cost when the two plans cost the same is

[tex]\begin{gathered} 55+0.13x \\ 55+0.13(175) \\ =55+22.75=77.75 \\ Or\text{ } \\ 48+0.17x \\ =48+0.17(175) \\ =48+29.75=77.75 \end{gathered}[/tex]**Hence the answer is $77.75**

Please help me I’ll mark u brainly

**Answer:**

yes

**Step-by-step explanation:**

for each point, both the x and y coordinates are inverted

Yes for each point x and y are inverted

Brand A granola is 25% nuts and dried fruit and brand B granola is 20% nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a 10-lb batch of sweetsthat is 22% nuts and dried fruit?The batch of sweets should contain of Brand A granola and of Brand B granola.

Answer:

The batch of sweet should contain 4 lb of Brand A granola

The batch of sweet should contain 6 lb of Brand B granola

Explanations:Total amount of sweet items = 10 lb

Let the amount of brand A granola be x

Amount of brand B granola = 10 - x

Amount of nuts and dried fruits in the total sweet items = 22% of 10

Amount of nuts and dried fruits in the total sweet items = 0.22 x 10

**Amount of nuts and dried fruits in the total sweet items = 2.2lb**

Amount of nuts and dried fruits in brand A granola = 25% of x

**Amount of nuts and dried fruits in brand A granola = 0.25x**

Amount of nuts and dried fruits in brand B granola = 20% of (10-x)

**Amount of nuts and dried fruits in brand B granola = 0.2(10 - x)**

Amount of nuts and dried fruits in brand A granola + Amount of nuts and dried fruits in brand B granola = Amount of nuts and dried fruits in the total sweet items

**0.25x + 0.2(10 - x) = 2.2**

0.25x + 2 - 0.2x = 2.2

**Collect like terms**

0.25x - 0.2x = 2.2 - 2

0.05x = 0.2

x = 0.2 / 0.05

**x = 4 lb**

**The batch of sweet should contain 4 lb of Brand A granola**

**Amount of brand B granola = 10 - x**

Amount of brand B granola = 10 - 4

**Amount of brand B granola = 6 lb**

**The batch of sweet should contain 6 lb of Brand B granola**

A physics class has 40 students. Of these, 18 students are physics majors and 17 students are female. Of the physics majors, seven are female. Find the probability that a randomly selected student is female or a physics major.

**Answer:**

Probability (Physics Major or Female) = 28/40 = 0.7

**Step-by-step explanation:**

The probability of being a female is 17/40

The probability of being a physics major is 18/40

The number of students counted twice is 7/40

Probability (Physics Major or Female) = 17/40 + 18/40 - 7/40

Probability (Physics Major or Female) = 28/40 = 0.7

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