The given equation is

[tex]y=\frac{4}{3}x-7[/tex]The slope of the given line is 4/3 because it's the coefficient of *x*.

Now, the new line has a slope of 4/3 too because parallel lines have equal slopes.

We know that the new line passes through the point (5, -8). Let's use the point-slope formula to find the equation.

[tex]y-y_1=m(x-x_1)[/tex]Replacing the points and the slope, we have.

[tex]\begin{gathered} y-(-8)=\frac{4}{3}(x-5) \\ y+8=\frac{4}{3}x-\frac{20}{3} \\ y=\frac{4}{3}x-\frac{20}{3}-8 \\ y=\frac{4}{3}x+\frac{-20-24}{3} \\ y=\frac{4}{3}x-\frac{44}{3} \end{gathered}[/tex]Therefore, the equation of the new line is y = (4/3)x - (44/3).A local hamburger shop sold a combined total of 632 hamburgers and cheeseburgers on Saturday. There were 68 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

The number of **hamburger** is 350 and the number of **cheeseburger** is 282.

It should be noted that an **expression** is simply used to show the relationship between the variables.

In this case, the local hamburger shop sold a combined total of 632 **hamburgers** and cheeseburgers on Saturday and there were 68 fewer cheeseburgers sold than hamburgers.

Let **Cheeseburger** = x

Hamburger = x + 68

This will be:

x + x + 68 = 632

2x + 68 = 632

2x = 632 - 68

2x = 564

x = 564/2

x = 282

Cheeseburger = 282

**Hamburger** = x + 68 = 282 + 68 = 350

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00:00 Jayden evaluated the expression a = (2 + 1.5) for a = 14. He said that the answer was 8.5. Choose True or False for each statement Choose... Jayden's solution is incorrect. Choose... Jayden added in the parentheses before dividing. Choose... Jayden substituted the wrong value for a. Choose... Jayden divided 14 by 2 and added 1.5.

**Explanation:**

Let's see what's the value of the expression if we substitute a = 14:

[tex]14\colon(2+1.5)=14\colon3.5=4[/tex]So definetly Jayden's solution is not correct.

Let's check the second statement: that's what we just did - add the parentheses before dividing. If Jayden would've done that he would have arrieved at the same solution we did, so definetly this statement is false

The third statement could be true. Let's see which value of a gives 8.5 as a result:

[tex]\begin{gathered} a\colon(2+1.5)=8.5 \\ a\colon3.5=8.5 \\ a=8.5\times3.5 \\ a=29.75 \end{gathered}[/tex]If 'a' were 29.75, Jayden would be correct.

Let's see what happens if we divide 14 by 2 and then add 1.5:

[tex](14\colon2)+1.5=7+1.5=8.5[/tex]This is the result Jayden got, so definetly this is one option for what he did wrong.

**Answer:**

• Jayden's solution is incorrect: ,true

,• Jayden added in the parentheses before dividing:, ,false

,• Jayden substituted the wrong value for a: ,true

,• Jayden divided 14 by 2 and then added 1.5: ,true

Determine the slope given two points (-2,3) (6,-7)

**Answer: m = -3/5**

**Step-by-step explanation:**

A basketball player had scored 879 points in 34 games. a) At this rate, how many games will it take him to score 1500 points? b) There are 82 games in an entire season. At this rate, how many points would he score in the entire season? a) It will take him approximately games to score 1500 points . (Round up to the next whole number of games.) b) At this rate, he would score approximately (Round to the nearest one if necessary.) points in the entire season. Enter your answer in each of the answer boxes.

We know that he scored 879 points in 34 games, so we can calculate the average rate as:

[tex]r=\frac{879\text{ points}}{34\text{ games}}=25.85\text{ points/game}\approx26\text{ points/game}[/tex]At this rate, we can calculate the total points P by multiplying the rate r by the number of games n:

[tex]P=r\cdot n=25.85\cdot n[/tex]We can calculate how many games are needed for P=1500 as:

[tex]\begin{gathered} P=26\cdot n=1500 \\ n=\frac{1500}{25.85}\approx58.02\approx58\text{ games} \end{gathered}[/tex]For n=82 games, the expected number of points P is:

[tex]P=25.85\cdot n=25.85\cdot82=2119.7\approx2120\text{ points}[/tex]**Answer:**

**a) It will take him approximately 58 games to score 1500 points.**

**b) At this rate, he would score approximately 2120 points in the the entire season.**

a person weighs 140 pounds has 4 quarts if blood. estimate the number of quarts of blood in a person who weighs 120 pounds

The number of quarts of blood in a person who **weighs** 120 pounds is 3.4

The expression can be written as

W= kV

W represents the weight in pounds

V= number of quarts

k= 140/4

= 35

The number of quarts of blood in a person that **weighs** 120 pounds can be calculated as follows

= 120/35

= 3.4

Hence 3.4 quarts of blood is gotten from a person who **weighs** 120 pounds. This was done by dividing 120 by 35

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Factor differences of square m^4 - n^4

Remember that a difference of squares can be written as the product of two conjugate binomials:

[tex]a^2-b^2=(a+b)(a-b)[/tex]In the given expression, notice that m^4 and n^4 can be written as (m^2)^2 and (n^2)^2:

[tex]m^4-n^4=(m^2)^2-(n^2)^2[/tex]Once written as a difference of squares, we can factor the expression:

[tex](m^2)^2-(n^2)^2=(m^2+n^2)(m^2-n^2)[/tex]**Therefore:**

5 · 4 -3 + 10 ÷ 2 A. -65 B. -55 C. -35 D. -25

we have

5 · 4 · -3 + 10 ÷ 2

Applying PEMDAS

P ----> Parentheses first

E -----> Exponents (Powers and Square Roots, etc.)

MD ----> Multiplication and Division (left-to-right)

AS ----> Addition and Subtraction (left-to-right)

step 1

Multiplication

5.4.-3=-60

substitute

-60+10÷ 2

step 2

Division

10÷ 2=5

substitute

-60+5

step 3

Addition

-55

therefore

option BHenry is shipping a package that weighs 7 7/8 lbs. What is the weight of the package expressed as a decimal?

**Answer:**

7.875

**Step-by-step explanation:**

Nancy is a high scorer on her basketball team. she made 24 free throws out of 32 free throws attempted. what was her percentage of free throw shots made?

32 ------------------ 100

24 -------------------- x

x = (24 x 100) / 32

x = 2400/32

** x = 75%**

**To solve this problem use a rule of three**

The access code for a gym locker consists of three digits. Each digit can be any number from 1 through 6, and each digit can be repeated. Complete parts (a) through (c).(a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correct access code on the first try? (c) What is the probability of not selecting the correct access code on the first try?

**A.The number of the possible access codes:**

**B. The probability of randomly select the correct access code on the first try:**

**C. The probability of not selecting the correct access code on the first try :**

** **

Lucas is riding his rocket-powered big wheel. He rides at a constant speed. After riding for 5 hours, Lucashas travelled 46.5 miles. After 8 hours, he has travelled 74.4 miles.a. What is the dependent variable?b. What is the independent variable?c. What is Lucas' speed?d. If you were to graph Lucas' travel, what would the y-intercept be? Why?

a. Distance travelled

Given that he rides at a constant speed and after riding for 5 hours, he had travelled 46.5 miles. Per review, the distance travelled is dependent on time hence distance or miles covered is the dependent variable

Two planes, which are 2505 2505 miles apart, fly toward each other. Their speeds differ by 85mph 85 mph . If they pass each other in 3 3 hours, what is the speed of each?

When two planes which are 2505 miles apart and **fly toward each other**. if their **speeds **differ by 85mph and If they pass each other in 3 hours, then the speed of first plane is 372.5 mph and the speed of second plane is 462.5 mph

Their speeds differ by 85mph

Consider the speed of first plane = x mph

The speed of second plane = 90+x mph

**The relative speed** = sum of both speed

= x + x+90

= 2x+90 mph

**The distance **between the planes = 2505 miles

**Time taken** to pass each other = 3 hours

Therefore in 3 hours

3(2x+90) = 2505

6x+270 = 2505

6x = 2505-270

6x = 2235

x = 2235/6

x = 372.5 mph

The speed of second plane = 90+x

= 90+372.5

= 462.5 mph

Hence, when two planes which are 2505 miles apart and fly toward each other. if their speeds differ by 85mph and If they pass each other in 3 hours, then the speed of first plane is 372.5 mph and the speed of second plane is 462.5 mph.

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A 56-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

A 56-inch **board **is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. The **length **of all the three pieces are : 7, 21, 18.

There are 3 pieces:

Length of first piece = x

Length of second piece = 3x

Length of third piece = 4x

Total length = 8x

Now, 8x = 56

Divide both side by 8x

x = 56 /8

x = 7

Length of **second **piece = 3x where x = 7

3x = 3 ( 7)

= 21

Length of **third** piece = 4x where x = 7'

4x = 4 ( 7)

= 28

Therefore we can conclude that the **length** are : 7, 21, 18.

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Which method is best to solve this system?

y = -6x + 5

-2x + y = 5

Option 1: Guess and Check

Option 2: Elimination

Option 3: SUbstitution

Option 4: Graphing

**Answer: I'm sure Option 4 Could help you find your answer.**

**Step-by-step explanation:**

**y=−6x+5−2x+y=5**

**Hope this helps.**

4

An ice cream shop has a sign in the shape

of an ice cream cone. The sign is made

using a semicircle and a triangle, as

modeled below.

The base of the

triangle is the

6 in.

diameter of the

semicircle.

12 in.

Which is the best estimate of the area of

the sign in square inches?

F 150 in.2

F

G 14 in.2

H 36 in.2

J 50 in.2

In order to determine the total area of the sign, we need to calculate the area of the triangle, and the area of the semicircle. The expressions we need to use are described below:

[tex]\begin{gathered} A_{\text{semicircle}}=\frac{\pi\cdot r^2}{2} \\ A_{\text{triangle}}=\frac{b\cdot h}{2} \end{gathered}[/tex]We were given the diameter of the semicircle, it's radius is half of the diameter, therefore:

[tex]r=\frac{6}{2}=3\text{ in}[/tex]The base of the triangle is equal to the diameter of the semicircle. With this we can calculate both areas:

[tex]\begin{gathered} A_{\text{triangle}}=\frac{6\cdot12}{2}=36\text{ square inches} \\ A_{\text{semicircle}}=\frac{\pi\cdot3^2}{2}=14.13\text{ square inches} \end{gathered}[/tex]The total area of the figure is the sum of the above, therefore:

[tex]\begin{gathered} A=A_{\text{triangle}}+A_{\text{semicircle}} \\ A=36+14.13=50.13 \end{gathered}[/tex]The area is approximately 50 in². The correct option is J.

find the distance the points (-3,-5) and (9,-10). Enter the exact value of the answer.

[tex]\begin{gathered} \text{ the distance between the points is} \\ d((-3,-5),(9,-10))=\sqrt[]{(-3-9)^2+(-5-(-10))^2} \\ =\sqrt[]{(-12)^2+5^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ =13 \\ \\ \text{ The distance is 13} \end{gathered}[/tex]

Aaliyah needs to bake 42 servings of treats. She has cooked 20 servings of treats already. She has bars left to

make and each bar is 2 servings. How many bars does she need to make?

**Answer:**

she needs to make *11** **bars** *

**Step-by-step explanation:**

42-20

22

each bar is 2 servings so

22÷2

11 bars

Write the quadratic function in standard form. g(x) = x2 − 10x

The **quadratic function** in standard form is g(x)= x²-10x+0

**Quadratic functions **are polynomial **functions **of the second degree, meaning they contain at least one squared term.

**Quadratic functions **are another name called quadratics. The **quadratic function **has the following general form: f(x)=ax² + bx + c.

An **quadratic function **is given as g(x)= x²-10x

In the standard form of the **quadratic equation**, there should be three terms, terms with power two, one and a constant.

In the given **equation**, there is a constant term missing.

So, we add a zero to the end because it brings no change to the function **quantitatively**.

So, the standard form of the given **quadratic function** will be g(x)= x²-10x+0

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Enter your answer as an integer or as a reduced fraction in the form A/B.

From the given graph, let's find the slope of the line.

To find the slope of the line, apply the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]Take two points on the line:

(x1, y1) ==> (-6, 4)

(x2, y2) ==> (3, -2)

To find the slope, we have:

[tex]\begin{gathered} m=\frac{-2-4}{3-(-6)} \\ \\ m=\frac{-6}{3+6} \\ \\ m=\frac{-6}{9} \\ \\ m=-\frac{2}{3} \end{gathered}[/tex]**Therefore, the slope of the line is:**

[tex]-\frac{2}{3}[/tex]

**ANSWER:**

[tex]-\frac{2}{3}[/tex]

Ally has a square backyard with an area of 169 square feet. What is the length of one side of thebackyard?Sut

Ally has a square backyard with an area of 169 square feet.

Given a square of side length, s

[tex]\text{Area of a Square}=s^2[/tex]Therefore:

[tex]\begin{gathered} s^2=169\text{ square feet} \\ \text{Take the square root of both sides} \\ \sqrt{s^2}=\sqrt{169} \\ s=13\text{ feet} \end{gathered}[/tex]**Therefore, the length of one side of the backyard is 13 feet.**

Use the formula n+1/2 to find the median in the list of numbers. 1, 2, 2, 3, 3, 3, 3, 5, 6, 8, 9, 10, 13, 18, 18, 19, 21

The **median** is 6 in the given list of numbers

The list of **numbers** is 1, 2, 2, 3, 3, 3, 3, 5, 6, 8, 9, 10, 13, 18, 18, 19, 21

Formula: (n+1)/2th term

Median: The median of the data is the value of the middle observation found after sorting the data in ascending order. In many cases, it is challenging to evaluate the entire set of data for representation, and in these cases, the median is helpful.

where n is the number of items in the **list** of numbers

**n** = 17

Substituting the value in the formula we get:

(17+1)/2th term

= 9th term

9th term in the list is 6

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The sides of a square are represented by 3x-9. If the perimeter is 216, what's the

value of X?

The **value** of X = 21 .

The length of every closed **shape's perimeter **is its whole perimeter. This **rectangular** farm has two sides, with l being the bigger side and b being the smaller side. His farm's** circumference **may be calculated by adding the lengths of its four sides. Total **distanc**e =** 2l + 2b (l + b + l + b)**. In light of this, a rectangle's perimeter is equal to** 2 (l + b) units**. The complete distance around a shape is referred to as its perimeter. It is any two-dimensional** geometric shape's** perimeter or **outline length**. Depending on the **measurements**, the perimeter of multiple figures may be equivalent. Consider a triangle that is constructed from an** L-length **wire as an example.

Permitter of square= 4(x)

y = side

y = 3x -9

4(3x -9) = 216

x = 21

Each** side **= 54

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The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.What is the probability that a randomly selected teacher makes less than $50,000 per year?

Normal distribution of salaries

d = Standard dev = $7500 =

Correction factor= 0

Di

f(x) = (1/ d•√2π )• e ^- ((s- s')^2/2d^2)

Average value = u = 57337

Now calculate f(x)

Difference of salaries ,with respect to average

S^ 2= 57337 - 50000= = 7337

Now squared = (7337^2) = 53831569

d = 7500

2•d^2= 112500000

Then

S^2/ (2•d^2) = 53831569/112500000= 0.4785

Then now calculate

f(x) = (1/ d•√2π )•e^- (0.4785)

f(x)= 0.619/ (2•d^2)

Answer is

Probability of 61.9%

at the pet store 25 bunnies were examined and 7 of them had blue eyes.

Given

[tex]\begin{gathered} 25\text{ }bunnies=7blue\text{ }eyes \\ 60\text{ }bunnies=xblue\text{ }eyes \\ \\ x=\frac{60\times7}{25} \\ \\ x=16.8 \\ \\ x\approx17 \end{gathered}[/tex] The final answer is **17 bunnies**

x= -13 will this line be horizontal or vertical? based on this expression

EXPLANATION

The equation x=-13 represents a vertical line.

What is 3m+n evaluate the expression. I’m confused on how to solve this this is what my teacher gave me that’s it

**Explanation:**

The expression is given below as

[tex]3m+n[/tex]**Concept:**

The sum of two or more like terms is a single like term;** but the two unlike terms cannot be added together to get a single term. **Suppose, to find the sum of two unlike terms **x and y**, we need to connect both the terms by using an addition symbol and express the result in the form of **x + y.**

**In this case, **

The terms given ( **3m and n** ) are unlike terms and as such the expression cannot be simplified further

**Hence,**

**The final answer is **

such

for each equation give for solution. Then, graph the solution set on the graph provided.

Given the equation x+2y=8

[tex]\begin{gathered} \text{When x=-4} \\ x+2y=8 \\ -4+2y=8 \\ 2y=8+4 \\ 2y=12 \\ y=6 \\ (-4,\text{ 6)} \end{gathered}[/tex]When x = -2

[tex]\begin{gathered} \\ x+2y=8 \\ -2+2y=8 \\ 2y=8+2 \\ 2y=10 \\ y=5 \\ (-2,\text{ 5)} \end{gathered}[/tex]When x=0

[tex]\begin{gathered} \\ x+2y=8 \\ 0+2y=8 \\ 2y=8 \\ y=4 \\ (0,\text{ 4)} \\ \end{gathered}[/tex]When x=2

[tex]\begin{gathered} \\ x+2y=8 \\ 2+2y=8 \\ 2y=8-2 \\ 2y=6 \\ (2,\text{ 3)} \end{gathered}[/tex]We then plot these points.

x 0 1 9

P(X = x) 0.14 0.35 0.51

**Answer:**

**Step-by-step explanation:**

k = 0.2

5 MATH QUESTIONS WILL MARK BRAINLIEST PLS HELP

The correct options regarding the **functions **are given as follows:

**1. C. **y = -2x - 7/9, m = -2, b = -7/9.

**2. A. **y = 1400x + 5000, 10,600 lbs.

**3.** **A. **t = 0.75m + 12, $23.25.

**4. A. **y = (x - 2) - 3.

**5.** **B. **302.5 miles.

In **slope-intercept** formula, a linear function is given as follows:

y = mx + b.

In which:

m is the slope.b is the y-intercept.For this problem, the **equation **is:

-18x - 9y = 7.

Then:

9y = -18x - 7

y = -2x - 7/9, which slope -2 and intercept -7/9.

Thus **option C** is correct.

The table represents a** linear function**, in which:

Thus the **function **is:

y = 1400x + 5000.

In **four **weeks, x = 4, hence the amount is of:

y = 1400(4) + 5000 = 10600.

Which means that **option A** is correct.

Also a** linear function**, in which:

Hence the **function **is:

t = 0.75m + 12.

For 15 miles, the **cost **is given as follows:

t = 0.75(15) + 12 = $23.25.

Which means that **option A **is correct.

In this graph, we have a concave up parabola with **vertex **at (2,-3), hence the rule is:

y = (x - 2) - 3.

Which means that **option A** is correct.

The distance function after **t hours **is given by:

d = 45t + 100.

Hence, after 4.5 hours, as 1/2 = 0.5, the distance is of:

d = 45(4.5) + 100 = 302.5 miles.

Which means that** option B** is correct.

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Jonah saw a news report that stated that 72% of children in his town played a sport last year. If there are 4,000 children in his town, how many children in his town played a sport last year?(1 point) children in his town played a sport last year.

2880 is 72% of 4000.

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