50 POINTS
A pair of equations is shown below:

y = 7x − 8
y = 5x − 2

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer

Answer:

The scale factor is 5/2

Step-by-step explanation:

To find the scale factor, divide 20/8; that simplifies into 5/2.

20÷5/2 is 20*2/5, which is equal to 8, so you know it works.

Hope that helped!!

Answer:

B) 6(5x -2y)

Step-by-step explanation:

When we have a number outside the parenthesis, we can distribute this number to all the terms inside the parenthesis. Since our given expression is 30x -12y, we are looking for an expression that when expanded results in these two numbers.

Only option B provides both 30x and -12y, as seen as 6 times 5x= 30x and 6 times -2y = -12y.

Answer:

Nonlinear positive association. B

Step-by-step explanation:

When X increases, Y increases => positive association

Link all dots, u can see a curve rather than a line. => nonlinear

Hi!

Answer:

A) 331.24

Step-by-step explanation:

To find the area, you need to multiply LxW, (Length x Width) and in this case, since it's a square, the sides are equal. Each side is 18.2 cm, so all we have to do is multiply 18.2 by 18.2, and then we get 331.24, so your answer is option A.

I hope this helps! :)

Answer:

240/990 = 8/33.

Step-by-step explanation:

Arbitrarily, the chances of this outcome, by picking an apple first, then an orange, then a banana, is:

5/11 × 4/10 × 2/9= 40/990

But we don't care about the order and in reality, there are six orders that would achieve our outcome:

Apple, orange, banana

Apple, banana, orange

Orange, Apple, banana

Orange, banana, Apple

Banana, Apple, orange

Banana, orange, Apple

The probability of each these outcomes is the same as computed above (Just exchanging numerators.) So the answer is 6×(40/990)

Answer:

72.933333

Step-by-step explanation:

Answer:

MAD: 1.45

The valued differs from the mean by an average of 5.625

Micheal is here to help.

A's slope would be 0.33 And B's slope would be 0

Step-by-step explanation:

To find a slope you have to use y2-y1/x2-x1

If you do this with both the anwsers will be 0.33 and 0.

Answer:

I think it is B

Step-by-step explanation:

mark me brainliest

Answer:

1 7/8

Step-by-step explanation:

I think you need to times it like 2 1/2 x 3/4, first you make 2 1/2 into 5/2 then times it like this 5/2 x 3/4. the answer is 1 7/8

Answer:

[tex]\bold{-\frac{1}{3}(-12 + 2y)}[/tex]

Step-by-step explanation:

The original expression is

[tex]4 - \frac{2}{3}y[/tex]

Let us write the factored result as
[tex]-\frac{1}{3} (a + by)[/tex]

where a and b are constants to be determined

[tex]-\frac{1}{3} (a + by) = -\frac{1}{3} (a) -\frac{1}{3} (by) = -\frac{a}{3} + -\frac{by} {3}[/tex]

Matching like terms to the original equation we get

[tex]-\frac{a}{3} = 4[/tex]  

Multiplying by -3 on both sides gives

a = -12

Matching the y terms we get
[tex]-\frac{by}{3} = -\frac{2}{3}y[/tex] ==> [tex]-\frac{b}{3} = - \frac{2}{3}[/tex]  ==> b = 2

So the factored expression is

[tex]\bold{-\frac{1}{3}(-12 + 2y)}[/tex]

We can verify this if we multiply the terms inside the parentheses by [tex]-\frac{1}{3}[/tex]

[tex]-\frac{1}{3}(-12) =4[/tex]

[tex]-\frac{1}{3} (2y) = -\frac{2}{3}y[/tex]

Answer:

(a)

Five rational numbers between -1 and 1 are:-

:: -9/10, -8/10, -7/10, -6/10,-5/10

(b)

Five rational numbers between 4/3 and 3/2 are:-

:: 81/60, 82/60, 83/60, 84/60, 85/60

Explanation:-

If we have to find rational numbers we have to multiply both the numerator and denominator by same number

eg:- 5,10,20. In case you do not find five or ten rational numbers you have to again multiply the numerator and denominator by the same number.

Answer:

4%

Step-by-step explanation:

1) Subtract the base price from the final price. 40.56 - 39 = 1.56.

2) Divide the tax by the base price to determine the decimal version of the percentage. 1.56 / 39 = 0.04.

3) Multiply this by 100 to turn it into the normal percentage. 0.04 × 100 = 4, so the answer is 4%.

The sales tax is 38.46%.

The percentage is the ratio of number expressed as a fraction of 100.

Determine the difference in the amounts.

Difference = Amount paid - Amount listed

=40.56-39

=1.56

Determine the percent sales tax.

Percent sales tax= (Difference/ Amount paid) ×100%

=(1.56/40.56) ×100%

≈38.46%

Thus, the sales tax is 38.46%.

To learn more about percentage click:

https://brainly.com/question/14699403

#SPJ2

Answer:

(-3, 4)

Explanation:

Reflection over the x -axis is (x,y) → (x,−y)

Here the given point:

N(-3, -4)

If reflected:

(-3, 4)

Answer: (-3, 4)

Explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

(-3, -4) ⇒ (-3, 4)

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

I'm not sure if I understood what the problem is asking for and if the numbers behind 3 are answer choices but the answer would be 21.

3's times table:

[tex]3*1=3[/tex]

[tex]3*2=6[/tex]

[tex]3*3=9[/tex]

[tex]3*4=12[/tex]

[tex]3*5=15[/tex]

[tex]3*6=18[/tex]

[tex]3*7=21[/tex]

Since 3 times 7 equals 21 the following equations involving division with the numbers 3, 7, and 21 would be:

[tex]\frac{21}{7}=3[/tex]         [tex]\frac{21}{3}=7[/tex]      

Hope this helps

Answer: here is a lesson that helped me Discussion Points and Possible Answers

1. The table below shows the total fat in grams and total calories for various fast food items. Does this

data suggest that there is an association between the fat grams and total calories in fast food

items? Support your answer.

Sandwich Total fat (g) Total Calories

Hamburger 9 260

Cheeseburger 13 320

Quarter Pounder 21 420

Quarter Pounder with Cheese 30 530

Big Mac 31 560

Arch Sandwich Special 31 550

Arch Special with Bacon 34 590

Crispy Chicken 25 500

Fish Fillet 28 560

Grilled Chicken 20 440

Grilled Chicken Light 5 300

Sample Answers: The food items with more fat tend to have more calories, so it seems

reasonable that there is a positive association. Larger values of total fat tend to go with larger

values of total calories.

2. A scatter plot can be used to visualize the association between fat and calories. Think about how

the variables are related, and how the variables fat and calories should be placed on the

coordinate axes. Label the axes on the graph below, and explain your choice of axes and

variables.

Answer: Since the amount of fat in fast food affects the

total calories, the variable fat is the independent

variable. This variable is best to plot along the horizontal

axis. The variable calories is the dependent variable

and is, therefore, best to plot along the vertical axis.

Teacher Tip: Discuss with the students why fat is the independent variable

and calories is the dependent variable in this situation. Ask them whether

the amount of fat depends on how many calories are in the food, or the

amount of calories depend on how much fat is in the food.

Exploring Bivariate Data TEACHER NOTES

MATH NSPIRED

©2013 Texas Instruments Incorporated 3 education.ti.com

Move to page 1.2.

3. On page 1.2, fat grams are stored as a variable fat. Total

calories are stored as a variable cal. Construct a scatter plot for

these two variables:

a. Select the add variable text at the bottom of the page

where the horizontal axis should be placed, and select the

variable of your choice.

b. Select the add variable text on the left of the page where the vertical axis should be placed,

and select the variable of your choice.

Tech Tip: Variables fat and cal are stored in the document,

so students can select them to be plotted on the coordinate axes. Initially

the axes are not shown on the Data & Statistics page. When students

select the add variable text at the bottom of the screen, they will see the

choice of stored variables. After they select the independent variable, they

should select the add variable text on the left side of the screen to select

a dependent variable. The scatter plot with labeled coordinate axes will

Step-by-step explanation:

Answer:

3 cm

Step-by-step explanation:

Hope it helps you in your learning process.

For the first question on the screenshot, you need to put this same exact order as I put it.

A D B C

Now the second question

A = 3 units
B = 4 units
C = 4 units
D = 3 units

Answer:

given, y≥2x+1 and 

y>21x−1

first, draw the graph for equations  y=2x+1 and y=21x−1

for y=2x+1 

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence,  y≥2x+1 includes the region above the line.

for y=21x−1 

Answer: 9

Step-by-step explanation: just devide then times

Answer:9

Step-by-step explanation:

-lukelaws

Hope I helped if I did please mark me brainliest if its wrong I am sorry!

Answer:

3/8

Step By Step Explanation:

You see which one has only one Tales in it out of the total number of tosses so there are 3 tosses that have only one tale out of 8 in total. Hope this helps.

Answer:

Faces: 7

Edges: 15

Vertices: 10

Answer :)

Hello, I'm Lilo and I'm here to answer your question (chance it's incorrect or correct)

Answers in the explanation.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Explanation/Answers:

They are 7 faces, 15 edges and 10 vertices

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Last messages:

I hope this helps :)

Bye! have a great Morning/Afternoon/Night.

- [Lilo6was6taken <3]

Answer: hii

2.03

Step-by-step explanation:

Divide 6.1 by 3.

Hopefully this helps you

- Matthew