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3 years ago

Which of these numbers is in the solution set of x + 5 = 15? A. 10 B. 3 C. 20 D. 11

Mathematics

2 answers:

stealth61 [152]3 years ago

6 0

Answer:

Step-by-step explanation:

10 + 5 = 15

Alik [6]3 years ago

3 0

Answer: A

Step-by-step explanation:

x+5=15

-5 -5

x=10

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The function f(x) varies inversely with x and f(x)=2 when x = 16. What is f(x) when x = 4?

andrew-mc [135]

Answer: The correct answer is: [D]: "8" .

Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.

You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;

So, f(x) = y = 2 = k/16 ;

→ 2 = k / 16 ;

Solve for the constant; "k" ;

Multiply EACH SIDE of the equation by "16"

→ 16* (2) = (k / 16) * 16 ;

→ 32 = k ;

↔ k = 32 ;

As such, we can write the equation:

y = k/ x ; as:

→ y = 32/ x ;

Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;

y = 32/4 = 8 .

y = 8 .

y = f(x) ;

So; f(x) = 8 ; which is: Answer choice: [D]: "8" .

8 0

3 years ago

Salama makes fruit baskets with oranges and bananas.

vovangra [49]

The ratio for problem is:

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

Solution:

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits, so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0

3 years ago

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba

JulsSmile [24]

Answer:

ta side from one base to next has length of x. so we know each side has length x and the shape they make is a square. This means we are only searching for the diagonal of a square. remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using pythagoream theorem we can say

a^2 + b^2 = c^2 all side lengths are x so we can put x in for a and b to get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

so if the length between bases is 90 ft

c = 90 ft * squareroot(2)

c = 127.28 ft

Step-by-step explanation:

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2 years ago

Hello help help me plz

amid [387]

Answer:

8. adjacent 9. vertical 10. adjacent

Step-by-step explanation:

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3 years ago

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A circle graph titled Bachelor's Degrees Earned in the United States from 2009 to 2010. 22 percent is business, 10 percent is so

Helga [31]

Answer:

a) 60 graduates

b) Business and social science.

Step-by-step explanation:

In United States, from 2009 to 2010 the Bachelor's Degrees graduates are made up of 22% for business, 10% for social science, 8% is health related, 6% is education and 54% is others. Given that a sample of 1000 college graduates where used,

a) Number of graduates with education degree is equal to 6% of the total college graduates. Therefore:

Number of graduates with education degree = 6% × 1000 = 0.06 × 1000 = 60 graduates

b) Number of graduates with business degree = 22% × 1000 = 0.22 × 1000 = 220 graduates

Number of graduates with social science degree = 10% × 1000 = 0.1 × 1000 = 100 graduates

Number of graduates with health related degree = 8% × 1000 = 0.08 × 1000 = 80 graduates

Number of graduates with other degree = 54% × 1000 = 0.54 × 1000 = 540 graduates

Since Many graduates earn degrees in fields that result in high-paying jobs, the two fields most likely pay more than the others are that of business and social science.

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3 years ago

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