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soldi70 [24.7K]
3 years ago
5

Rosa bought 1 pound of cashews and 2 pounds of peanuts for $10. At the same store, Sabrina bought 2 pounds of cashews and 1 poun

d of peanuts for $11. Find the cost per pound of cashews and peanuts.
Mathematics
1 answer:
Valentin [98]3 years ago
5 0

Answer:

The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.

Step-by-step explanation:

let x = cashews

let y = peanuts

x + 2y = 10 - rosa's purchase

2x + y = 11 - sabrina's purchase

subtract 2x to isolate 'y'

y = 11 - 2x

x + 2(11 - 2x) = 10

x + 22 - 4x = 10 (Use the distributive property.)

-3x = -12

x = 4.00

Plug this into the original equations to find "y"

2(4) + y = 11

8 + y = 11

y = 3

4 + 2y = 10

2y = 6

y = 3

the solutions are: x = 4. y = 3.

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what is an equivalent fraction to 3/8 ​? Find a common denominator for the pair of fractions.​ Then, write equivalent fractions
Ann [662]

Answer:

6 1/6

Step-by-step explanation:

A fraction that is equivalent to 3/8 is 6 1/6

5 0
3 years ago
Martin deposits $700 into a savings account that gains interest at a rate of 5.5% annually. If he waits 7 years to withdraw the
Travka [436]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Use the multiplier 1.055

final = original x multiplier^n

where 'n' is the number of years

Sub the values in

final = 700 x 1.055^7

final = 1018.27

Subtract the values:

1018.27 - 700 = 318.27

Thus, he earns more than $275

He earns $43.27 more

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4 0
3 years ago
A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating
julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

2/3 = 14 - x / t

t = 2x--------1

2t = 3(14 - x ) -------- 2

substitute t in equation 2

2(2x) = 3(14 - x)

4x = 42 - 3x

7x = 42

x = 42/7 = 6cm

substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

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3 0
1 year ago
Some students were asked what kinds of animals they have at home.
Nataly_w [17]

(a) Animals by popularity; Dogs, Cats, Others, Horses.

(b) If 250 students were interviewed, 20 students have other pets.

(c) No, it was incorrect.

Step-by-step explanation:

Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

1. Dogs - 67%,

2. Cats - 20%

3. Others - 8%,

4. Horses - 1%.

None is not included in this list.

Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

8% of 250 = \frac{8}{100} × 250 = 0.08 × 250 = 20.

So 20 students had other pets.

Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.

20% × x = 75, 0.2 × x = 75,

x = \frac{75}{0.2} = 375.

So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.

8 0
3 years ago
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