Renting video games from Store S cost $2.50 per game plus a monthly fee of $5. Renting video games from Store T cost $5 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. What inequality represents the situation when the monthly cost of Store S is less than the monthly cost at Store T?

Answer:

a. height = 12

b. area = 228

Step-by-step explanation:

a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into [tex]c^2-b^2=a^2[/tex]. [tex]15^2=225, 9^2=81,[/tex] and [tex]225-81=\sqrt{144}[/tex]=12. Therefore, the height of the parallelogram is [tex]\boxed{12}[/tex]

b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and [tex]19\cdot12=\boxed{228}[/tex]

Answer:

Step-by-step explanation:

Bringing like terms on one side

-10 = - 4x - x

-10 = - 5x

-10/-5 = x

2 = x

Answer:

B. (-1,-1)

Step-by-step explanation:

Both lines are intersecting at this point.

Answer:

Step-by-step explanation:

[tex]y = 4x + 3 \\ y = - x - 2[/tex]

Arrange and solve

[tex] - 4x + y = 3 \\ x + y = - 2 \\( x,y)=( - 1, - 1)[/tex]

(

Answer:

i think the answer is 4

Answer:

b=24

Step-by-step explanation:

Simplifying

3(x + -5) + -4 = 17

Reorder the terms:

3(-5 + x) + -4 = 17

(-5 * 3 + x * 3) + -4 = 17

(-15 + 3x) + -4 = 17

Reorder the terms:

-15 + -4 + 3x = 17

Combine like terms: -15 + -4 = -19

-19 + 3x = 17

Solving

-19 + 3x = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '19' to each side of the equation.

-19 + 19 + 3x = 17 + 19

Combine like terms: -19 + 19 = 0

0 + 3x = 17 + 19

3x = 17 + 19

Combine like terms: 17 + 19 = 36

3x = 36

Divide each side by '3'.

x = 12

Simplifying

x = 12

Answer:

a) root77

b) 2 root77 / ~17.55 cm^2

Step-by-step explanation:

a) by using Pythagorean Theroem,

a^2 + b^2 = c^2

2^2 + b^2 = 9^2

4 + b^2 = 81

81 - 4 = b^2

77 = b^2

root77 = b

b) 1/2bh is the quation for area thus,

area = 1/2 ( 4 ) ( root77)

area = 2 root77

or area = ~17.55 cm^2

h = [tex]\sqrt{77}[/tex]

A =[tex]2\sqrt{77}[/tex]

Rules for solving this problem:

Isosceles triangle rules

Because of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that

Area of a triangle

Step 1 - Find the height

[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]

Step 2 - Find the area

[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]

Hope this helps,

  - J.M.Jamon

        Pennsylvania State University

        Full-time B.S.CE. undergrad student

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

Answer:

10n+2

Step-by-step explanation:

Distributive property, 2(5n)+2(1)=10n+2

Answer:

The answer is 10n+2

Answer:

10

Step-by-step explanation:

[tex]-5(x-3)+7x=35[/tex]

Distribute the 5

[tex]-5x+15+7x=35[/tex]

Combine like terms

[tex]2x+15=35[/tex]

Subtract 15 to isolate the variable

[tex]2x=20[/tex]

Divide by 2

[tex]x=10[/tex]

Answer:

x = 10

Step-by-step explanation:

I hope this helps!

Answer:

It is 34 and 36.

Step-by-step explanation:

The value of the angle x is equal to 98°.

Given that the figure attached below.

To find the angle x, follows sum steps as:

Draw one parallel line between the given parallel lines with intersect the point x.

By linear sum,

Angle 1 on below parallel line is 180° - 144° = 36°.

Angle 2 is equal to angle 1, that is, angle 2 is equal to 36°.

Angle 3 on centre parallel line is equal to 62°.

So, the angle x is calculated as:

x = Angel 2 + Angle 3

x = 36° + 62°

x = 98°

Hence, the required angle is equal to 98°.

Learn more about Angle here:

brainly.com/question/30147425

#SPJ6

Answer:

Answer:

The answer is

True

Answer:

5x-1

Step-by-step explanation:

Answer:

1480 grams.

Step-by-step explanation:

3200 grams = 3200/1000

= 3.2 kgs.

Difference in weight = 4.68 - 3.20

= 1.48 kgs

= 1480 grams.

Answer:

3,200g  - 4.68kg = 1480

Step-by-step explanation:

4.68k g = 4,680 g

1 kg = 1,000 g

4,680 - 3,200 = 1480

Answer: 0

Step-by-step explanation:

Use rules of logarithms to condense.

Answer: A) yes; -2/3

Step-by-step explanation: -2/3, -4/6 = -2/3, -6/9 = -2/3

Answer:

f(-2) = 5

Step-by-step explanation:

Step 1: Define

f(x) = -3 + 2x²

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = -3 + 2(-2)²

f(-2) = -3 + 2(4)

f(-2) = -3 + 8

f(-2) = 5

Answer:

c and d. just did the lesson and its those two.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

Step-by-step explanation:

please check the attached picture..and rotate it

Answer:

i am not sure but according to me ans is d

Step-by-step explanation:

Ax+By=C

Ax=C-By

A=C-By/x

Answer:

The second reason is incorrect.

It should be "Transitive Property of Congruence"

Answer:

Reason 2 ( got it correct on my test)

Step-by-step explanation:

The reason must justify its corresponding statement.

Answer:

m is greater than or equal to 3

Step-by-step explanation:

[tex]m \geqslant 3[/tex]

Answer:

[tex]m + 4 \geqslant 7 \\ m \geqslant 7 - 4 \\ m \geqslant 3[/tex]