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Alinara [238K]
3 years ago
10

A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues

to use the same rate to make more batches of soup. How many pounds of barley soup should the cook mix with 35 quarts of broth?
Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

10 lbs

Step-by-step explanation:

7 qts x 5 qts  = 35 qts broth

2 lbs x 5 lbs = 10 lbs barley

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Megan is hoping to buy a new pair of rain boots that cost $49.75. One week, the rain boots go on sale for 40% off. About how muc
xz_007 [3.2K]

Answer:

Megan would save $19.90.

Step-by-step explanation:

49.75 divided by 0.40 is equal to 19.90.

4 0
2 years ago
Two models of cellular telephones, red and blue, are stored in boxes. One box weighs twelve pounds and contains four of the red
GenaCL600 [577]
First, make a equation in which r= red and b=blue.

So, since in the first box it has 4 red models and one blue model equaling 12,

the first equation looks like 4r+b=12.

The second equation looks like 2r+b=8.

What you would do is try and first solve for r by getting rid of b.

Since both equation has a positive b, you would make one equation have a negative b by multiplying the whole equation by -1.

-1*(2r+b=8)= -2r-b=-8

Add.

4r+b=12
+(-2r-b=-8)

2r=4
r=2

Then, you plug in 2 for the r for any of the original equations.

4(2)+b=12

8+b=12

b=4

or

2(2)+b=8

4+b=8
b=4

So, the red models weigh 2 pounds while the blue models weigh 4.



5 0
3 years ago
Simplify the expressions by combining like terms<br><br> 10r - 5r + 3r - 8r
Yuri [45]

Answer:

0

Step-by-step explanation:

Combine like terms, perform the operations with the coefficients of the variable, then write the variable.

10r - 5r + 3r - 8r

= 5r + 3r - 8r

= 8r - 8r

= 0

7 0
2 years ago
Read 2 more answers
The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the
otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

  • 38,430 is the population if t is an exponent
  • 146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

P(t) = 27,400(1.07)t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590


Or if the equation is supposed to have t as an exponent then look below:

P(t) = 27,400(1.07)^t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430

This formula is based off the standard formula A=A_0(1+r)^t so r, the rate is 1.07=1+0.07 so r is 7%.

A_0 is the starting population which is 27,400 here.

4 0
3 years ago
What is the y coordinate in the solution for the system of linear equations below
Natali5045456 [20]

Answer:

y=6

Step-by-step explanation:

use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:

-3x+2y=6

2(4x-y=2)

-3x+2y=6

8x-2y=4

Combine like terms and divide by 5 on both sides.

5x=10

x=2

Plug x in to find y:

4(2)-y=2

8-y=2

y=6

5 0
3 years ago
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