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3 years ago

13

One month Kala rented 7 movies and 9 video games for a total of $85. The next month she rented 5 movies and 3 video games for a

total of $41. Find the rental cost for each movie and each video game.

1 answer:

hodyreva [135]3 years ago

4 0

$4.75 per movie and $5.75 per game. See picture for explanation.

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If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .8

hichkok12 [17]

Answer:

About 384.3 feet

Step-by-step explanation:

The formula for that is given by,

$S= \sqrt{30 \times d \times f \times n}$

Where,

S is the speed of the car

d is the distance of skid

f is the drag factor for the road surface

n is breaking efficiency as percentage

Putting the values we get,

$S^2= 30 \times d \times f \times n$

$d= \frac{S^2}{30 \times f \times n}$

$d = \frac{70^2}{30 \times 0.50 \times 0.85} = 384.3$ feet

So the length of skid marks would be 384.3 feet.

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3 years ago

You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.

uranmaximum [27]

Answer:

The question needs to state the radius of the styrofoam ball.

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3 years ago

If point D is placed on AC, how will the measure of DAB relate to the measure of CAB?

xeze [42]

Answer:angle DAB will be equal to angle CAB

Step-by-step explanation:

AC is a straight line and forms one of the sides of triangle ABC. If point D is placed on line AC, angle DAB would remain equal to angle CAB since they are on the same line the angle formed with line AB remains the same.

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4 years ago

What are the solution(s) of -3(x - 1) = x - 5?<br> O-5 and 3<br> O-3<br> O1 and 5<br> O 2

andre [41]

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-3(x - 1) = x - 5

<u>Step 2: Solve for </u><em><u>x</u></em>

Distribute -3: -3x + 3 = x - 5
Add 3x to both sides: 3 = 4x - 5
Add 5 to both sides: 8 = 4x
Divide 4 on both sides: 2 = x
Rewrite: x = 2

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

Substitute: -3(2 - 1) = 2 - 5
Subtract: -3(1) = -3
Multiply: -3 = -3

Here we see that -3 does indeed equal -3.

∴ x = 2 is a solution of the equation.

8 0

3 years ago

Read 2 more answers

In a fraternity with 40 members , 18 take mathematics, 5 take both mathematics and physics, and 8 take neither mathematics nor p

garri49 [273]

Answer: 14 members take physics but not mathematics

Step-by-step explanation:

Please see the attached for a diagrammatic representation of this situation.

Since there are 40 members but 8 did not offer any of mathematics or physics, then:-

40 - 8 = 32

So, 32 members of the fraternity offer maths, physics or both.

5 members offer both mathematics and physics .

Since 5 members offer both mathematics and physics, the number of members that offer maths alone = 18 - 5

Let us use "P" to represent the number of members that offer physics. Therefore, the number of members that offer only physics = (P - 5)

Now, if we add up the members that offered maths only, the members that offered both mathematics and physics and the members that offered only physics, it will be equal to the 32 members that offered at least a subject.

Therefore, (18 - 5) + 5 + (P - 5) = 32

18 - 5 + 5 + P - 5 = 32

18 + P - 5 = 32

P + 13 = 32

P = 32 - 13

P = 19

19 members offered physics out of the 32 members that offered maths, physics or both.

To find out the number of people or members that offered physics only, we subtract the number of members that offered the two subjects (5) from a total of 19 members that offered Physics

19 - 5 = 14

Therefore, 14 members of the fraternity offer only physics

5 0

3 years ago

Read 2 more answers