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Salsk061 [2.6K]

2 years ago

7

A recipe uses 114 cups of sugar for a batch of brownies. Tommy makes 10 batches of cookies for a bake sale. How many cups of sug

ar does Tommy need? Write an equation that models the total number of cups of sugar, c, Tommy needs?

2 answers:

Nastasia [14]2 years ago

8 0

He needs 1140 cups of sugar. (total # of cups of sugar) = 114c

Komok [63]2 years ago

4 0

Answer:1140

Step-by-step explanation:114 times 10

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2 years ago

Read 2 more answers

At an important meet, Allyson won the women's 100 meters in 12.24 seconds. Find her average rate.

otez555 [7]

The rate is 8.17 meters per second

Further explanation:

In order to find the rate we have to divide the distance covered by the woman by the time she covered it in.

Given

$Distance=d=100\ meters\\Time=t=12.24\ sec\\So,\\Rate=\frac{d}{t}\\=\frac{100}{12.24}\\=8.17\ ms^{-1}$

The rate is 8.17 meters per second

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6 0

3 years ago

Four times a number added to 7 times the number equals 44.

zysi [14]

If you're looking for the value of the number, then here's how:
Let's call the number x
4x + 7x = 44
11x = 44
÷ 11
x = 4
So the number you're looking for is 4, if you wanted to know something else then let me know!

8 0

3 years ago

Distribute -(-4v+6.3w-9.8)

Firdavs [7]

Answer:

4v-6.3w+9.8

Step-by-step explanation:

If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))

Basically it's switching the signs

Hope that helped :)

3 0

2 years ago

The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f

Montano1993 [528]

$f'(x)=\dfrac{4x}{1+7x^2}$

Integrating gives

$f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx$

To compute the integral, substitute $u=1+7x^2$ , so that $\frac27\,\mathrm du=4x\,\mathrm dx$ . Then

$f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C$

Since $u=1+7x^2>0$ for all $x$ , we can drop the absolute value, so we end up with

$f(x)=\dfrac27\ln(1+7x^2)+C$

Given that $f(0)=10$ , we have

$10=\dfrac27\ln1+C\implies C=10$

so that

$\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}$

7 0

3 years ago