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3 years ago

Assume that you don’t know any kind of longhand method of division. Explain how you can use reasoning to calculate 495 ÷ 35

1 answer:

7 0

To divide one number by another is to determine how many times the second number is contained in the first.So let's count how many times 35 can fit in 495. Decompose the number 495 on the amount of my preferred numbers.350 this 10 times for 35105 is a 3 for 35that is, 13 times already fit. 350+105=455.
Try to add the 14th time.455+35=490. Is extra 5.
Then, 495:35=14 and 5/35 =14 1/7

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A piece of pipe is 303/4 inches long. If five pieces, each 41/3 inches long, are cut from the pipe, how many inches of pipe rema

galina1969 [7]

So, what is the total lenght of the pieces that wer cut off?

we multiply the lenght by the number:

4 $\frac{1}{3}$ *5=20+ $\frac{5}{3}$ =21 $\frac{2}{3}$

and we subtract this from the original pipe, that is

30 $\frac{3}{4}$ -21 $\frac{2}{3}$

we need to bring the two fractions to the same denominator (by multiplying the fraction art in the first by 3 and 4 the second):

30 $\frac{9}{12}$ -21 $\frac{8}{12}$ =9 $\frac{1}{12}$

so the correct answer is D!

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3 years ago

Write an equation of a line that passes through the point (3,2) and is parallel to the line y=3x-4

disa [49]

Parallel lines should have the same slope. Therefore, you know which point it passes through and the slope. Plug in the points and slop into slope-intercept form to find b. Please refer to the picture.

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3 years ago

Solve the system of equations using linear combination method or substitution method. Show all steps.

Korvikt [17]

Answer:

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Step-by-step explanation:

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3 years ago

Put these in order starting with the smallest.<br>9 3/2 <br>27 1/3 <br>125 2/3

Pepsi [2]

Answer:

second, third,first

Step-by-step explanation:

first

3/2=1.5

9^1.5=27

second

1/3=0.333

27^0.333=3

third

2/3=0.667

125^0.667=25

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3 years ago

Simplify. x/4x+x^2

djyliett [7]

$\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}$

if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.

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3 years ago