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rosijanka [135]
3 years ago
8

a group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3:8. if 132 students were surveyed f

ind the number of students that chose doccer as their favorite sport?
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0
132 people surveyed
132 ÷ (8+3)
12
12 x 8
96 people choose soccer
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Use the following function to find the value of each operation.
Murljashka [212]
<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

w(f(m(2))) = 593

<h3>Step-by-step explanation:</h3>

We can write how w(f(m(x))) will be defined but that's too much work and it's only useful when we are evaluating w(f(m(x))) with many inputs.

First let's solve for m(2) first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

m(x) = -4x +1

Solving for m(2):

m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7

Now we can solve for f(m(2)), since m(2) = -7, f(m(2)) = f(-7).

Given:

f(x)=3x-1

Solving for f(-7):

f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22

Now we are can solve for w(-22). By now you should get the idea why w(f(m(2))) = w(-22).

Given:

w(x) = x^2 -5x -1

Solving for w(-22):

w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593

8 0
3 years ago
a discount of 15% saved jackie $57 on office supplies. what was the price of the supplies before the discount?
kolbaska11 [484]

Answer:

$38-

Step-by-step explanation:

15% = $57

57 ÷ 3 = 19%

15 ÷ 3 = 5

100 ÷ 5 = 20

19% × 20 = $380

6 0
3 years ago
What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?
mylen [45]
In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.
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3 years ago
How do you divide 19.30/200
umka2103 [35]
10.36 and you will get 19.30
3 0
3 years ago
The ratio of red to blue marbles in a bag is 2:5. If there are 65 blue marbles in the bag, how many red marbles are there? Let x
hoa [83]

Answer:

first get the total ratio; 2 + 5 = 7

so the fraction of blue marbles is 5/7

then assume the number of total marbles to be k

then use the expression;

5/7*k = 65

7*5/7 * k = 65*7

5k =455

5/5k = 455/5

k = 91

then calculate the number if red marbles from;

x = 2/7*91

x = 26

Therefore there are 26 red marbles.

8 0
2 years ago
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