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fgiga [73]
3 years ago
15

Christine went shopping and bought each of her eight nephews a gift, either a video costing $14.95 or a CD costing $16.88. She s

pent $131.18 on the gifts. How many
videos and how many CDs did she buy?
Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Answer:

Step-by-step explanation:

Define number of videos purchased as "n" and number of CD's purchased as "c" then we can equation the total purchases and the costs by:

8 nephews:

n + c = 8

Spent $121.53

14.95*n + 16.88*c = 121.53

Substitute one variable as a function of the other. Preference the simpler equation (n + c = 8)

n = 8 - c

=>

14.95*(8-c) + 16.88c = 121.53

119.60 + 1.93c = 121.53

1.93c = 1.93

c = 1

=>

n = 7

*Check:

14.95*(7) + 16.88*(1) = 121.53

im so sorry if this is wrong :/

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5 0
3 years ago
Simplify the expression. Write the answer using scientific notation.
erik [133]
The answer is 5.88 x 10^22 because when you move your decimal point (which should be placed in between 5 and 8) to the right it turns 58800000000000 into 5.88. Then you count the numbers after the decimal which gives you 12.
( I’m pretty sure I made no sense, but hopefully it helped !! )
6 0
3 years ago
If sine theta equals negative square root of three over two and pi less than theta less than three times pi over two, what are t
Romashka-Z-Leto [24]

Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

<h3>What is angle measurement?</h3>

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

sin(1/2) = π/6

The value of the trignometric function are;

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.

θ = 5π/6

cos(5π/6) = -(√3)/2

tan(5π/6) = -(√3)/3

Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

To learn more about the angle measurement, refer to the link;

brainly.com/question/14684647

#SPJ1

7 0
2 years ago
A patrolman spends three times as many hours patrolling as she does completing paper work. If she works 36 hours per week, how m
fomenos

Answer:

27 hours

Step-by-step explanation:

Let her work "x" hours for paperwork

Since, patrolling amount of hours is THREE TIMES that,

Patrolling = 3x hours

Total Hours = 36

That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:

x + 3x = 36

4x = 36

x = 36/4

x = 9 hours

Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours

So, she spends 27 hours patrolling

4 0
3 years ago
The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. One-half o
icang [17]
32 students choose a favorite topping for their slices.

Let x be the total number of students.

1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.

We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x

We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x


Combining like terms:
7/8x+4=x

Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x

Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
4 0
3 years ago
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