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Fiesta28 [93]
1 year ago
6

A recipe has a ratio of 1 1/2 cups of cheese to 6 oz. of pasta. Based on this recipe, which statement is true?

Mathematics
1 answer:
yarga [219]1 year ago
5 0

The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:

\begin{gathered} 1\frac{1}{2}\text{ cups cheese}\to6\text{ oz pasta} \\ 1\text{ cup cheese}\to x\text{ oz pasta} \\  \\ \frac{1\frac{1}{2}}{1}=\frac{6}{x} \\ \frac{3}{2}=\frac{6}{x} \\ 3x=12 \\ x=4 \end{gathered}

So the amount of pasta is 4 oz, therefore the correct statement is B.

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A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route
Verdich [7]

Step-by-step explanation:

The position of the mouse at time t is 4 + 12t.

The position of the cat at time t is 17t.

When the positions are equal:

4 + 12t = 17t

4 = 5t

t = 0.8

It takes 0.8 seconds.

8 0
3 years ago
What is the area of the triangle below? Please explain too.
Neko [114]

Answer:

144 ft^2

Step-by-step explanation:

property of 45-45-90 triangle: side lengths are 12rt2

12rt2*12rt2/2=144

5 0
3 years ago
Billy is 5 2/3 feet tall. Maris is 4 11/12 feet tall. How much taller is billy
3241004551 [841]

3/4 feet

You can set this up as an equation and solve

5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12}  -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}

3 0
2 years ago
Carla drops a carton of eggs. out of 12 eggs, 7 eggs are cracked. as a decimal, what fraction of the eggs are not cracked? [roun
anyanavicka [17]
There are 5 eggs which remained. In a fraction, the eggs which are not cracked is expressed as 5/12. Converting it to decimals, the answer is 0.4166667. Since the answer only requires 2 decimal places, the number has to be rounded off to the hundredths place. Since 6 is more than 5, the value of the hundredths place is added by 1. Hence the final answer is 0.42.
4 0
3 years ago
Read 2 more answers
Show that xcosec^2x = cotx - d/dx xcotx
Mama L [17]

The given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.

In the question, we are asked to show that x.cosec²x = cot x - d/dx x.cot x.

To prove, we go by the right-hand side of the equation:

cot x - d/dx x.cot x.

We solve the differential d/dx using the product rule, according to which, d/dx uv = u. d/dx(v) + v. d/dx(u), where u and v are functions of x.

cot x - {x. d/dx(cot x) + cot x. d/dx(x)}

= cot x - {x. (-cosec²x) + cot x} {Since, d/dx(cot x) = -cosec²x, and d/dx(x) = 1}

= cot x + x. cosec²x - cot x

= x. cosec²x

= The left-hand side of the equation.

Thus, the given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.

Learn more about differentials at

brainly.com/question/14830750

#SPJ1

4 0
2 years ago
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