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Rina8888 [55]
3 years ago
5

Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

a is any number that is multiples of 3

3, 6, 9, 12, etc...

Step-by-step explanation:

5 1/3 ÷ 4/a

16/3 * a/4

16a/12

\frac{4}{3} a

since denominator is 3, a can be any whole number that is a multiple of 3

\frac{4}{3}(3) = 4

\frac{4}{3}(6) = 8

\frac{4}{3}(9) = 12

so on and so on....

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Someone please help me ✨
DedPeter [7]

Okay, so keeping mind that the equation for area is A = L x W, look at the measurements you already have. 5.5 x 10^5 is the length, and 4.2 x 10^4 is the width. Switch them into full form and use a calculator to multiply the two for the area in meters.

550000 x 42000 = 23100000000, which in scientific form is 2.31 × 10^10. So that's answer one.

For the second, in kilometers, just take the full measurement you already have, 23100000000 m, transfer it into kilometers, 23100000 km, and then find its scientific notation, 2.31 × 10^7. That's answer two.

To answer the last question for which is more suitable, just consider what number you'd prefer to look at: a bigger number or a smaller one. Since the kilometer measurement number is smaller, its correct.

Summarily, the answers are 2.31 × 10^10, 2.31 × 10^7, and square kilometers, in that order.

6 0
3 years ago
19. answer this question.​
Irina-Kira [14]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ final = original x multiplier^n

n is the number of years

Substitute the values in:

final = 3800 x 1.054^3

final = 4449.440763

The closest answer is A

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
4 years ago
Read 2 more answers
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
4/16 in the lowest terms
miskamm [114]

Answer:

1/4

Step-by-step explanation:

The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.

4 ÷ 4 = 1

16 ÷ 4 = 4

Therefore, the answer is 1/4.

6 0
3 years ago
Read 2 more answers
Surface area of solid figures
Lilit [14]

Answer:

C. 468mm²

Step-by-step explanation:

The formula for the surface area of rectangular prism is:

A=2(wl+hl+hw)

Let's break down our variables.

L = 12mm

W = 6mm

H = 7mm + 2mm = 9mm

Now we substitute our values in the formula:

A=2((6)(12)+(9)(12)+(9)(6))

A=2(72+108+54)

A=2(234)

A=468mm^{2}

6 0
3 years ago
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