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Natali [406]
2 years ago
14

Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is 3:2

Mathematics
1 answer:
AveGali [126]2 years ago
4 0

Answer:

18

Step-by-step explanation:

3:2 means 3/2 or 3÷2

but its better to leave it as

3/2

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A box contains 2 plain pencils and 2 pens. A second box contains 1 color pencil and 3 crayons. One item from each box is chosen
Nitella [24]

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6 0
3 years ago
Unlike fractions find the sum 2/8+1/3=
chubhunter [2.5K]

Answer:

7/12

Step-by-step explanation:

Find the common denominator 24 so fraction would change to 6/24 + 8/24

that equals 14/24 and simplified that 7/12

7 0
2 years ago
How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an
JulsSmile [24]

Answer:

31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Step-by-step explanation:

Let us assume that the number of kilograms of a 5% salt solution used be x .

Let us assume that the number of kilograms of a 15% salt solution used be y .

As given

A 5% salt solution and 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Equation becomes

x + y = 45

5% is written in the decimal form .

= \frac{5}{100}

= 0.05

15% is written in the decimal form .

= \frac{15}{100}

= 0.15

8% is written in the decimal form .

= \frac{8}{100}

= 0.08

Thus

Concentration of 5% salt solution × Number of kilograms of 5% salt solution used + Concentration of 15% salt solution × Number of kilograms of  15% solution used = Concentration of 8% salt solution × Number of kilograms of 8% salt solution

Thus

0.05x + 0.15y = 0.08 × 45

Simplify the above

\frac{5x}{100} + \frac{15y}{100} = \frac{8\times 45}{100}

5x + 15y = 360

Thus two equations becomes

x + y = 45

5x + 15y = 360

Multiply x + y = 45 by 5 and subtracted from 5x + 15y = 360 .

5x - 5x + 15y - 5y = 360 - 225

10y = 135

y = \frac{135}{10}

y = 13.5 kilograms

Put value of y in the equation

x + 13.5 = 45

x = 45 - 13.5

x = 31.5 kilograms

Therefore the 31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

5 0
2 years ago
Cari owns a horse farm and a horse trailer than can transport up to 8000 pounds of livestock and tack. She travels with 5 horses
tatuchka [14]
In order to find out the answer for this, let us try to analyze the question. Since it is given that 6240 pounds is the total weight of her 5 horses and t represents the weight of each tack per horse, the inequality that could be used to determine the weight of tack Cari can allow for each horse would be this: <span>6240+5t≤8000
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3 years ago
Multiply the polynomials.
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I’m pretty sure that the answer is D
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