MATHEMATICS HIGH SCHOOL

Compare using <, >, or =.
7 2/5_____ 7 3/8

Answers

Answer 1
Answer: 7 2/5 as an improper fraction is 37/5 and 7 3/8 as an improper fraction is 59/8. Then we convert those two improper fractions into a decimal (by 100) and get  7 2/5 = 7.4 and 7 3/8 = 7.3, 7.4 is bigger than 7.3 so the answer is...

7 2/5 > 7 3/8

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Help me please! Math files attached!The first file is the questions picture, and the second file is the answer choices. This is a drag-and-drop thing, where you have to tell me what goes where so I can drag the correct choice to the correct box.Please explain your answer clearly so I can answer the rest of my math problems on my homework.Thank you! :D
Solve the literal equation for y.2x+5y = 3y+8
A parabola and its focus are shown on the graph. the vertex of the parabola is at (0,0). what is the equation of the directrix of the parabola?A) Y=3B) Y= -3C) X= 3D) X= -3

Y = x - 2 and y=-2x +7

Answers

\huge\boxed{\boxed{\bold{(3, 1)}}}

\hrulefill

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of y from the second equation and substitute it into the first:

-2x+7=x-2

Add 2x to both sides of the new equation:

7=3x-2

Now add 2 to both sides of the equation:

9=3x

Divide both sides by 3:

\boxed{3}=x

Now let's solve for y by substituting the known value of x into the first equation:

y=3-2

Simplify using subtraction:

y=\boxed{1}

This means our solution is:

\large\boxed{(3, 1)}

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3, y = 1

Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after school today. What equation can be used to find y, the total minutes Andrew will play video games today?

Answers

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

Factor the expression 28x + 49

Answers

Answer:

7(4x+7)

Step-by-step explanation:

28x+49

Rewriting

4*7*x + 7*7

Factor out a 7

7(4x+7)

Answer:

7(4x+7)

Step-by-step explanation:

Just divide both numbers by the common factor,7.

Identify n in the equation below. Then name the property that is used.6 = 6 + n

A). 1, Identity property of addition

B). 0, Identity property of addition

C). 0, Commutative property of addition

D). 0, Multiplicative property of Zero

Answers

I believe it is B. A and D  you can cross them out. So you are left with B or C. The Identity Property is when you add any number to 0 then you will get the same number. So the answer is B. Hope all that made sense.

Divide 6,723 ÷ 8. what is the remainder?

Answers

3 is the remainder
_______________

Emily needs to buy fabric to make curtain panels for her windows. Each panel will be 4 feet long and 1/2 foot wide. Each piece of fabric that she can buy is 4 feet long and 2 feet wide . How many panels can she make from i piece of fabric?

Answers

Each panel is 4 ft long and 1/2 ft wide

The piece of fabric is 4 ft long and 2 ft wide

So she can therefore fit 4 panels into this. We can calculate this by area
4*1/2=2ft^2

4x2=8ft^2

So 4*2 =8
The pieces of fabric are already the correct length, so it is just a matter of how many panels will fit into one piece of fabric. 2/(1/2) = 4, so she can make 4 panels from 1 piece of fabric.
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