2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?

3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?

4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?

5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?

6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?

7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?

8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?

9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?

10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?

I need your help.

**Answer:**

**1- 24**

**2- $96**

**3- $7.75**

**4- 37**

**5- 11**

**6- 54**

7- $38

8- 12

9- $46

10- 59

What makes a graph not a histogram?

A graph that is not a histogram is a regular graph and the differences between the two graphs is the historical one and the original

m21 = 60 - 2x

m/2=75 - 3x

**Answer:m<1 = 111 degrees, m<2 = 69 degrees**

**Step-by-step explanation:The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:**

**x + 88 + 3x = 180 **

**4x = 108**

**x=23 degrees**

**Next, substitute 23 into the given angles:**

**m<1 = (23 + 88) = 111 degrees**

**m<2 = 23 * 3 = 69 degrees**

**Thus, m<1 = 111 degrees, m<2 = 69 degrees. **

Can I withdraw my SSS contribution after 10 years?

When a person registers for SSS membership in any capacity, he/she becomes a member for life. Thus, withdrawal of **membership** is not possible.

Once you become a covered **SSS** member, you become a member for life. The contributions that you remit become savings for the future that will serve as the basis for the granting of social security benefits in times of contingencies. **Membership** cannot be withdrawn and contributions paid cannot refund.

Workers in the private sector are covered by social security under the **Social Security System** (SSS). In the event of a worker's passing, disability, illness, pregnancy, or old age, social security provides replacement **income**. The Social Security Act of 1954 went into effect on September 1st, 1957.

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What is value of x if4x 64?

As per the **unitary method,** the value of x for the expression 4x = 64 is written as, **16.**

The term unitary method in math is defined as a technique for solving a problem by first finding the value of a **single **unit, and then finding the necessary value by **multiplying **the single unit value.

Here we have to find the value of x if the given expression 4x = 64.

According to the unitary method, here we have given the expression,

=> 4x = 64

Here we need to find the value of x, so we have to move the other values instead of x to the other side, then we get the **expression**,

=> x = 64/4

Now, we have to divide the number 64 by 4, then we get the value,

=> x = 16

Therefore, the value of x is 16.

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What is the factor of 3xÂ² 6x?

The **factors form** of the given equation 3x²−6x is 3x(x−2)

Given that:

3x²−6x

To find : The factor form of 3x²−6x

The splitting or decomposition of an entity (such as a number, a matrix, or a** polynomial)** into the product of another entity, or factors, whose multiplication results in the original number, **matrix**, etc., is known as **factorization** or factoring in mathematics. You will mostly learn this idea in your lower secondary studies, which run from grades 6 to 8.

=3×x×x−2×3×x, **factor** each monomial

=3x(x−2), factor out common factor 3x

The factors form of 3x²−6x is 3x(x−2)

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What is the rule for equilateral triangles?

In order to understand all properties of an **equilateral triangles **we will take a traingle ΔABC and let the **side **length be a,b,c and **angle** measures be α, β and Ф.

1. All 3 **side** of an **equilateral triangles** have same length .

so as mentioned a=b=c.

2. All 3 **angles** of an** equilateral triangles** have same measure.

so α=β=Ф , which shows that all **angles** measures same.

3. Each **angles** of an **equilateral triangles** is [tex]60^0[/tex].

4.** Area** of **equilateral triangles** = [tex]\frac{\sqrt{3} }{4}*a^2[/tex]

5 . Perimeter of an **equilateral triangles** = 3*a

6. Any two **triangle** sides can add up to a length that is longer than the **third side**.

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m*3 + 2m*3

m cubed plus 2m cubed

3m*3/3mcubed this is the answer by simplification

hehehehehehheheheheh

15. If l//m, find the measure of each angle.

If q ║ r, **value** of x is 17.

When a transversal connects two or more parallel lines at different locations, **alternate** **exterior** **angles** are created. The word exterior refers to something that is located outside. Whenever the transversal intersects two lines, alternate external angles are always outside of those two lines and are situated on the opposing sides of the transversal. As a result, the pair of alternate external angles—two outside angles—that arise at the opposing ends of transversals in the exterior section are always equal. When a transversal splits two parallel lines, we obtain two of these pairs of alternate exterior angles.

Given

q ║ r

**Alternate** **exterior** **angle**,

7x - 10 = 9x - 44

9x - 7x = 44 - 10

2x = 34

x = 17

If q ║ r, **value** of x is 17.

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plssss answer thiss!!!!

**Answer:**

A = 3

B = 6

C = 4

D = 5

left rectangle = 4 x 6 = 24

mid = 5 x 6 = 30

right = 6 x 3 = 18

both triangles = 4 x 3 = 12

24 + 30 + 18 + 12

= 84 cm²

**Answer: 84**

**Step-by-step explanation:**

How do you check continuity of a function?

Continuity of a **function **can be checked by examining the limits of the function as x approaches a certain value and ensuring the function's output is equal to the **value **of the function at that point.

**Continuity **of a function is an important concept in calculus and other branches of mathematics. In order to check the continuity of a function, the limits of the function must be examined as x approaches a certain **value**. This means that the left-hand limit and the right-hand limit must be equal. If the limits are equal, then the **function **is continuous at that point. If the limits are not equal, then the function is not continuous at that point. Additionally, the value of the function at that point must also be equal to the limits in order for the function to be continuous. If the function is discontinuous at any point, then it is not considered continuous. Continuity is necessary for certain properties of functions, such as **derivatives **and integrals, to be defined.

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it takes santa 5 minutes to fly 35 miles with the wind. it takes him 7 minutes to go 35 miles against the wind. determine the speed of santa's sleigh in still air (x) and the speed of the wind

(y).

Let x be the speed of Santa's sleigh in still air and y be the speed of the wind. We can use the formula d = rt, where d is the distance traveled, r is the speed at which the sleigh is traveling, and t is the time elapsed, to find x and y.

For the first case, where Santa is flying with the wind, the distance traveled is 35 miles, the time elapsed is 5 minutes, and the speed of the sleigh is x + y. Since there are 60 minutes in an hour, the time elapsed in hours is 5 minutes / 60 minutes/hour = 1/12 hours. So, we can write the equation 35 miles = (x + y) * (1/12 hours). Solving for x + y, we get x + y = 35 miles / (1/12 hours) = 420 miles/hour.

For the second case, where Santa is flying against the wind, the distance traveled is 35 miles, the time elapsed is 7 minutes, and the speed of the sleigh is x - y. Since there are 60 minutes in an hour, the time elapsed in hours is 7 minutes / 60 minutes/hour = 7/60 hours. So, we can write the equation 35 miles = (x - y) * (7/60 hours). Solving for x - y, we get x - y = 35 miles / (7/60 hours) = 300 miles/hour.

We can solve for x and y by equating the expressions for x + y and x - y and then solving for x and y. Since x + y = 420 miles/hour and x - y = 300 miles/hour, we can add these equations together to get 2x = 720 miles/hour. Dividing both sides of the equation by 2, we get x = 360 miles/hour. We can then substitute this value for x into the equation x + y = 420 miles/hour to solve for y, giving us y = 420 miles/hour

I need help i will choose you as the brainlyest answer is you get it right.

**Answer:**

6/4

1 2/4

1 1/2

**Step-by-step explanation:**

3 x 2/4 = 3/2 or 1 1/2

6/4 reduces to 3/2 as factors of 2

1 2/4 simplifies to 1 1/2

1 1/2 is equal to 3/2

Answer your looking for is A, C and D

What is the rational root theorem simple?

The **rational root theorem** is the representation of the finding **rational solution** of the given **polynomial **function.

As given in the question,

Therefore, the **rational root theorem** is the representation of the finding rational solution of the given polynomial function.

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just give me the straight answers for 1-6

**Answer:**

1. y=x 2. x=4 3. y=3x-10 4. y=-2/5x-1/5 5. y=-8x-13 6. y=-x+3

**Step-by-step explanation:**

please help me with this question its urgent

**Answer:**

316 milliliters of compound A

**Step-by-step explanation:**

We know for every 7milliliters, we have 4 milliliters of compound A and 3 milliliters of compound B

So, take 553 divided by 7 = 79

So, take 4 times 79 = 316 milliliters of Compound A

So, 316 milliliters of Compound A are needed!

the business college wants to determine the proportion of business students who have extended time between classes. if the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. suppose a hypothesis test is conducted and the test statistic is 2.5. find the p-value for a two-tailed test of hypothesis.

The business college wants to determine the** proportion** of business students who have extended time between classes. The p value for two **tailored test** was 0.0124

Let p represent the **percentage **of business students who own laptops.

As said, we must conduct the exam.

The test is a two-tailed test because the** alternative hypothesis **has two tails.

We presume that a** normal distribution **would apply in this situation.

We employ the z-test for proportion.

The two-tailed test's P-value is 2P(Z>|z|)=2P(Z>|2.5|).

=2P(Z>2.5)=2(1-P(Z<2.5)) P(Z>z)=1 - P(Zz)

=2(1-0.9938) Z-table, by

= 2(0.0062) (0.0062)

= 0.0124

Consequently, the** two-tailed test's** p-value was 0.0124.

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suppose the correlation between height and weight for adults is 0.40. what proportion (or percent) of the variability in weight can be explained by the relationship with height? group of answer choices 84% 16% 60% 40%

The 16% **variability** in weight can be explained by the relationship with height.

**What is correlation?**

In **statistics**, there are three different forms of **correlation**: **positive**, **negative**, and **no correlation**.

The link between two **variables** is said to be positive correlated when both variables move in the same direction. When one variable decline (or grows) while the other variable lowers (or increases), there is a positive perfect **correlation**, denoted by the number +1.

When two variables are correlated negatively, both of the variables are moving in the opposing direction. When one variable rises (or falls) while the other rises (or falls), there is a negative perfect **correlation**, which is symbolised by the number -1.

No **correlation**, which is represented by 0, means that there is no connection or reliance between the two variables.

On the basis of provided information, the correlation between the height and weight for adults is,

r = +0.4

So, the coefficient of determination is calculated as,

[tex]r^{2} = (0.40)^{2}[/tex] = 0.16 = 16%

Based on the provided information, the required answer is 16%.

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you are driving from san antonio to dallas. you will be driving 65 mph. if you only have 4 1/2 hours to get there, will you make it on time?

**Answer: Yes, you will make it on time**

**Step-by-step explanation:**

The distance from San Antonio to Dallas is 274 miles

We take 274 divided by 65 = 4.2 hours or 4 hours and 12 minutes to get there at the speed of 65 mph

We have 4 1/2 hours to get there

4 1/2 hours = 4 hours 30 minutes

So, you will make it on time!

What is the leading coefficient example?

For a polynomial, Leading **coefficient** is the coefficient of the term with the degree of polynomial. For [tex]a^{2}+bx+c[/tex] , The leading coefficient is 'a'.

Sums of terms with the form kxⁿ, where K is any number and N is a positive **integer**, are known as polynomials.

The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.

Example of leading coefficient are:

[tex]2x^{2}+x+1[/tex], leading coefficient=2

[tex]8x^{3}+5x^{2}+3x+1[/tex], leading coefficient =8

[tex]3x^{5}+8x^{3}+7x+6[/tex], leading coefficient = 3

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How to find the possibility?

**Answer:**

**Step-by-step explanation:**

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Probability of event to happen P (E) = Number of favourable outcomes/Total Number of outcomes

find the weight ? needed to hold the wall shown in fig. p2.76 upright. the wall is 10 m wide.

As per the given **height **of the wall, the approximate weight is **149kN**

The term Hydrostatic refers to the force exerted by **static **water on the plate or object and its **magnitude **depends upon the positioning of the object inside the water.

Here we have given the following values,

Height = 2.76 upright

Width = 10 m

Here we have to consider the hydrostatic **force **acting on the wall about the pinned point say P then the **expression **is looks like,

=> F = ωAx

=> F = 9810(10 × 4) × 2

=> F = 784800 N = 785KN

Now, the weight is calculated as per the **Hydrostatic **method as,

=> W = (1.33/7) x 785

=> W = 149 kN

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Nora needs to add 2 2/3 cups of sugar to her cookie dough. She only has a 2/3-cup measure. How many scoops of sugar does Nora need to add?

Here, try using this!

A corporate bond has a face value of p dollars. The interest each year is 6% of the face value. After received each year. The payout is the sum of the face value and the total interest. years the total interest is the product of the number of years, 1, and the interest (a) Express the total interest /, in dollars, as a function of the age f, in years, of the bond. Note that "I is already provided. Do not include this in your submitted response to this question. I .06t+p Edit (b) Express the payout P, in dollars, as a function of f. Note that "P is already provided. Do not include this in your submitted response to this question. P= Edit

A **corporate bond **has a face value of p dollars. The **interest **each year is 6% of the face value. the total interest /, in dollars, as a function of the age f, in years, of the **bond **is

a)I(f) = 0.06 * f * p

b) P(f) = I(f) + p

What is the function?Generally, (a) Th**e total interest**, in dollars, as a function of the age f, in years, of the **bond **can be expressed as:

I(f) = 0.06 * f * p

This represents the** total interest paid over** f years, which is calculated by multiplying the annual interest rate (0.06), the number of years (f), and the face value of the bond (p).

(b) The payout P, in dollars, as a function of f can be expressed as:

P(f) = I(f) + p

This represents the** total payout **over f years, which is calculated by adding the total interest paid (I(f)) and the face value of the bond (p).

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How do you prove triangles are congruent using ASA?

You must find the corresponding parts of the two triangles first. Then, you must find the angle measure of one pair of corresponding angles. You would then find the length of a pair of corresponding legs or sides in between the two angles. Lastly, you would need to find the angle measure of another pair of corresponding angles.

If you have a corresponding pair of congruent angles, a pair of congruent, corresponding sides, and another pair of congruent, corresponding angles, then both triangles are congruent.

Here’s an example:

Notice that the triangle’s side is in between the two angles; this is required when using ASA.

If you have a corresponding pair of congruent angles, a pair of congruent, corresponding sides, and another pair of congruent, corresponding angles, then both triangles are congruent.

Here’s an example:

Notice that the triangle’s side is in between the two angles; this is required when using ASA.

In the 1970s, due to world events, there was a gasoline shortage in the united states. There were often long lines of cars waiting at gas stations. 1 if there were a million cars in line, bumper to bumper, with average length of 9. 65 feet, how long would that line be in miles? round your answer to the nearest mile.

The** length** of the line is **1712.12 miles** if there were often long lines of cars waiting at gas stations. If there were a million cars in line, **bumper **to bumper.

Given :

What is **average**?

It is defined as the single number that represents the **mean value** for the given set of data or the closed value for each entry given in the set of data.

There were often long lines of cars waiting at gas **stations**. If there were a million cars in line, bumper to bumper.

The average length = 9.04 feet

The length of the **line** can be found as follows:

= 9.04 * 1,000,000

The length of the line = 9,040,000 feet/5280 feet (1 mile)

= **1712.12** miles

Thus, the length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

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Solve the system

(4x + 7y= 41

(x-7y=-16

**Answer:**

{ X = 5} {Y = 3} pls mark brainliest

**Step-by-step explanation:**

Add the two equations: 4x + 7y + (x-7y) = 41 + (-16)

Remove parentheses: 4x + 7y + x-7y = 41 + -16

Cancel one variable:4x + x + = 41 + -16

Combine like terms: 5x = 41 - 16

Calculate the sum or difference: 5x = 25

Divide both sides of the equation by the coefficient of variable: x = 25/5

Cross out the common factor: X = 5

Substitute into one of the equations: 5 - 7y = -16

Rearrange unknown terms to the left side of the equation: 5 - 7y = -16 - 5

Calculate the sum or difference: -7y = -21

Divide both sides of the equation by the coefficient of variable: -21/-7

Determine the sign for multiplication or division: y = 21/7

Cross out the common factor: y = 3

The solution of the system is: { X = 5} {Y = 3}

Use the summation notation to rewrite the following expression. 1 2 3 n + + + + 2! 3! 4! (n + 1)! Σ k = 1

The** rewritten **expression using the **summation notation** is ∑ k = 1 1! + 2! + 3! + ... + (n+1)!

The summation notation is a way to represent the sum of a series of terms. In the summation notation, the series of terms is represented by an expression that is followed by a **summation symbol (**∑). The summation symbol is usually followed by an index of the summation (k in this case), an equal sign (=), the **starting value **of the index, and a **colon** (:). The series of terms is then written below the summation symbol, with the index replacing the variable in each term.

To rewrite the given expression using the summation notation, we can use the following steps:

Identify the series of terms: 1 + 2 + 3 + ... + n.

Write the series of terms below the summation symbol: ∑ k = 1

Replace the **variable** in each term with the index: 1! + 2! + 3! + ... + (n+1)!

The rewritten **expression** using the summation notation is ∑ k = 1 1! + 2! + 3! + ... + (n+1)!

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FIND THE FIRST DERIVATIVE OF g(x)=√x² + 2x

We are asked to find the first derivative of,

[tex]\longrightarrow g(x) = \sqrt{x^2+2x}[/tex]

Here we can write the term [tex]x^2+2x[/tex] by adding and subtracting 1 as,

[tex]x^2+2x = x^2+2x+1-1[/tex]

[tex]x^2+2x = (x+1)^2-1\quad[\because\, x^2+2x+1=(x+1)^2][/tex]

Thus,

[tex]\longrightarrow g(x) = \sqrt{(x+1)^2-1}\quad\dots(1)[/tex]

Now take,

[tex]x+1=\sec\theta\quad\dots(2)[/tex]

[tex]x=\sec\theta-1[/tex]

[tex]dx=\sec\theta\tan\theta\, d\theta[/tex]

[tex]\dfrac{d\theta}{dx}=\dfrac{1}{\sec\theta\tan\theta}\quad\dots(3)[/tex]

Then (1) becomes,

[tex]\longrightarrow g(x) = \sqrt{sec^2\theta-1}[/tex]

We have,

[tex]\sec^2\theta-1=\tan^2\theta[/tex]

So we get,

[tex]\longrightarrow g(x) = \tan\theta[/tex]

Now,

[tex]\longrightarrow g'(x) = \dfrac{d}{dx}\,[\tan\theta][/tex]

By chain rule,

[tex]\longrightarrow g'(x) = \dfrac{d}{d\theta}\,[\tan\theta]\cdot\dfrac{d\theta}{dx}[/tex]

[tex]\longrightarrow g'(x) = \sec^2\theta\cdot\dfrac{1}{\sec\theta\tan\theta}\quad\quad\textrm{[From (3)]}[/tex]

[tex]\longrightarrow g'(x) = \sec\theta\cdot\dfrac{1}{\tan\theta}[/tex]

[tex]\longrightarrow g'(x)=\dfrac{1}{\cos\theta}\cdot\dfrac{\cos\theta}{\sin\theta}[/tex]

[tex]\longrightarrow g'(x)=\dfrac{1}{\sin\theta}\quad\dots(4)[/tex]

But we have,

[tex]\sin^2\theta+\cos^2\theta=1[/tex]

[tex]\sin\theta=\sqrt{1-\cos^2\theta}[/tex]

[tex]\sin\theta=\sqrt{1-\dfrac{1}{\sec^2\theta}}[/tex]

[tex]\sin\theta=\dfrac{\sqrt{\sec^2\theta-1}}{\sec\theta}[/tex]

[tex]\sin\theta=\dfrac{\sqrt{(x+1)^2-1}}{x+1}\quad\quad\textrm{[From (2)]}[/tex]

[tex]\sin\theta=\dfrac{\sqrt{x^2+2x}}{x+1}[/tex]

Hence (4) becomes,

[tex]\longrightarrow\underline{\underline{g'(x)=\dfrac{x+1}{\sqrt{x^2+2x}}}}[/tex]

This is the first derivative of the given function.

A cubic polynomial with rational coefficients has the roots 7+√5 and 1/4. Find on additional root.

A. 7-√5

B. 7+√5

C. 5+√7

D. 5-√7

**Answer:**

Additional root of 7+√5 and 1/4 is:

D.5-√7

How would I solve this question?

Please take a look at the attachment

Working out required.

Thank You

**Answer:**

**Step-by-step explanation:**

(5x )4 +(5x )3 = (10x)12

the moon doesn't stay at the same distance from the earth why
Why might the attack on Pearl Harbor have changed public opinion about U.S. involvement in the war?
3Type the correct answer in the box. Spell the word correctly.Complete the sentence using the correct term.Victims should keep a (n) ____plan ready in case their abuser tries to harm them physically.
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Federalists believed a workable governmentmust separate government into branches.should centralize power under the president.cannot prevent abuses of power.could not be created under the Constitution
whats 2/5x4/9???????????????????????
the receptionist______me when l_________ for the room keysA)didn't understand / askB)wasn't understand / askedC)wasn't understanding / askedD)understood / asked