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galina1969 [7]
3 years ago
15

Sarah walks into a grocery store with no more than 20 dollars to spend and needs to buy at least 3.5 pounds of flour and at leas

t 2 pounds of sugar. Flour is 2 dollars per pound and sugar is 1.5 dollars per pound. Let x the amount of flour purchased and y be the amount of sugar purchased? Which of the following systems of inequalities represents this situation?
Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

x ≥ 3.5

y ≥ 2

2x + 1.5y ≤ 20

Step-by-step explanation:

Given :

Total Amount to spend ≤ $20

Let:

Amount of flour purchased = x

Amount of sugar purchased = y

Cost :

Flour = $2 per pound

Sugar = $1.5 per pound

Pounds of :

flour to be purchased ≥ 3.5

Sugar to be purchased ≥ 2

Hence, the system of inequalities :

x ≥ 3.5

y ≥ 2

Total Cost of x + total cost of y must be less than or equal to total amount

2x + 1.5y ≤ 20

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4 years ago
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8%. What
Tpy6a [65]

Answer:

The balance after 15 year is  $831.25 .

Step-by-step explanation:

Formula

Where P is the principle and r is the rate of interest in the decimal form and t is the time.

As given

Caiden earned $475 from mowing lawns last summer.

He deposited this money in an account that pays an interest rate of 3.8% compounded annually.

Here

P = $475

3.8% is written in the decimal form.

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r = 0.038

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Put in the formula

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Therefore the balance after 15 year is  $831.25 .

5 0
3 years ago
In △JKL, solve for x. <br><br> (A)74.89<br> (B)30.29<br> (C)38.16<br> (D)66.73
Stels [109]

ANSWER

(C)38.16

EXPLANATION

The acute angle given in the right triangle is 27°.

The side length adjacent to the 27° angle is 34 units.

The side length we want to find is x units, which is the hypotenuse of the right triangle.

We use the cosine ratio to obtain:

\cos(27 \degree)  =  \frac{adjacent}{hypotenuse}

\cos(27 \degree)  =  \frac{34}{x}

Solve for x,

x  =  \frac{34}{\cos(27 \degree)}

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to the nearest hundredth.

4 0
4 years ago
Read 2 more answers
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velikii [3]
Wouldn’t the answer be 48 if I’m correct because it’s talking about renting a bike for a hour and if you do the math 72-24 is 48 hours hope it’s right
3 0
3 years ago
The area of a triangle is 30cm and its base is 10cm. What is the height, in cm, of the triangle
Westkost [7]

Answer: 6cm

Step-by-step explanation:

Area of a triangle is 1/2bh

B= base

H= height

Area = 30cm

Substitute the values into the formula

Area= 1/2bh

30=1/2×10×h

30=5h

H=30/5

H= 6cm

Height of the triangle is 6cm

7 0
4 years ago
Read 2 more answers
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