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3 years ago

Yesterday, Grace drove 43 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer: 34.8 or 34 4/5

Step-by-step explanation:

1.25 divided by 1.25 = 1

43.5 divided by 1.25 = 34.8

= 34 4/5

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A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. One marble is

erastova [34]

Answer:

2/3

Step-by-step explanation:

Add all the number of marbles which is 12. 8 of them are not red. 8/12 when simplified equals 2/3.

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2 years ago

Simplify (8.3) 2.10.(6-1)

vagabundo [1.1K]

Answer:

$8 .3 \times 2.10.5$

Step-by-step explanation:

Simplify 6 - 1 to 5.

$8.3 \times 2.10 .5$

Therefor, the answer is 8.3 × 2.10.5

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2 years ago

What is 9% as a fraction or mixed number?

butalik [34]

Percentage is always out of 100 so

9% is 9/100.

9% cannot be a mixed number.

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3 years ago

Find the mass of the triangular region with vertices (0, 0), (3, 0), and (0, 1), with density function ρ(x,y)=x2+y2.

ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region $\mathcal T$ by computing the double integral of the density function over $\mathcal T$ :

$\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy$

The boundary of $\mathcal T$ is determined by a set of lines in the $x,y$ plane. One way to describe the region $\mathcal T$ is by the set of points,

$\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}$

So the mass is

$\mathrm{mass}=\displaystyle\int_{x=0}^{x=3}\int_{y=0}^{y=1-x/3}(x^2+y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{x=0}^{x=3}\left(x^2y+\frac{y^3}3\right)\bigg|_{y=0}^{y=1-x/3}\,\mathrm dx$

$=\displaystyle\int_{x=0}^{x=3}\left(x^2\left(1-\frac x3\right)+\frac{\left(1-\frac x3\right)^3}3\right)\,\mathrm dx$

$=\displaystyle\frac1{81}\int_0^3(27-27x+90x^2-28x^3)\,\mathrm dx=\frac52$

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3 years ago

1.2 Puzzle Time

ruslelena [56]

B because it is the answer

4 0

2 years ago

Read 2 more answers

Yesterday, Grace drove 43 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?

Yesterday, Grace drove 43 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?