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Neporo4naja [7]
3 years ago
5

The ratio of chicken to vegetables in a soup is 2:3. If there are 9 cups of chicken, how many cups of vegetables are in the soup

?
Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

13.5

Step-by-step explanation:

2/3=9/x

2x=9*3

2x=27

x=27÷2

x=13.5

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How do i solve using the substitution method?<br> x+y=-1 <br> y=-2x
leonid [27]

Answer:

(1, -2)

Step-by-step explanation:

<u>Step 1:  Set the second equation into the first </u>

x + (-2x) = -1

x - 2x = -1

-x / -1 = -1 / -1

x = 1

<u>Step 2:  Solve the second equation </u>

y = -2(1)

y = -2

Answer:  (1, -2)

4 0
3 years ago
Read 2 more answers
Find each indicated product <br>1) 2s(s-4) <br>2) (w+7) (w+3)<br>3) (x+9) (x-2) 4) (2t-1) (t+5)​
Andrej [43]

Answer:

1) 2s(s-4

Ans:

2(−4)

22−8

2)(w+7) (w+3)

Ans:

(+7)(+3)

(+3)+7(+3)

2+3+7(+3)

2+3+7+21

2+10+21

4 0
2 years ago
The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet find the length of eac
melamori03 [73]

Answer:

Leg1 = 9 and leg2 = 12

Step-by-step explanation:

<u>Points to remember</u>

<u>Pythagorean theorem</u>

Hypotenuse² = Base² + Height²

<u>To find the length of each leg</u>

It is given that, hypotenuse = 15 feet

Let base = x the height = x +3

By using Pythagorean theorem we can write,

Hypotenuse² = Base² + Height²

15²  = x² + (x + 3)²

225 = x²  + x²  + 6x + 9

2x²  + 6x + 216 = 0

x²  + 3x + 108 = 0

By solving we get x = 9 and x -12

Therefore one leg = 9 and other leg = 9 + 3 = 12

5 0
3 years ago
Read 2 more answers
Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.
nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

#SPJ1

5 0
1 year ago
Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dol
Kaylis [27]

Answer:

C = $2.40

n = 6

Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

C = 0.2n + 1.20

Here, n = number of checks written in a month

For Micah,

Monthly cost for writing checks 'C' = $1.20

Number of checks 'n' = 3

Since, Cost of writing checks ∝ Number of checks written

C' ∝ n

C' = kn

k = \frac{C'}{n}

Here, k = proportionality constant

For C' = 1.2 and n = 3

k = \frac{1.2}{3}

k = 0.4

Equation will be,

C' = 0.4n

For any month C = C'

Therefore, 0.2n + 1.20 = 0.4n

0.4n - 0.2n = 1.20

0.2n = 1.20

n = 6

Number of checks written by Noelle and Micah = 6

For n = 6,

C = 0.2(6) + 1.20

C = $2.40

Cost of writing checks = $2.40

7 0
3 years ago
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