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1 year ago

Mason collects seashells each year on the family trip to Sanibel Island. He has 90 whelks, which is 37.5% of his

Mathematics

1 answer:

anastassius [24]1 year ago

6 0

Answer:420

Step-by-step explanation x=90/0.375

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Write the following as a ratio: $72 for 488 photos

weeeeeb [17]

Answer:

The required ratio is 9 : 61

Step-by-step explanation:

Given,

$72 for 488 photos,

That is, the price of 488 photos = 72 dollars,

So, the ratio of price of photos and number of photos = $\frac{72}{488}$

∵ HCF(72, 488) = 8,

Thus, the ratio of price of photos and number of photos = $\frac{72\div 8}{488\div 8}$

= $\frac{9}{61}$

3 0

3 years ago

3. In class today, 1/4 of the students wore shorts and

Mkey [24]

Answer:

A. $\frac{1}{4}$ = $\frac{3}{12}$

Step-by-step explanation:

$\frac{1}{4}$ of the students wore shorts.

$\frac{3}{12}$ of the students wore jeans.

Converting the fractions of the students who wore shorts and jeans respectively;

$\frac{1}{4}$ = 0.25

$\frac{3}{12}$ = 0.25

This means that the ratio of students who wore shorts is the same as that of students who wore jeans.

i.e $\frac{1}{4}$ = $\frac{3}{12}$

4 0

2 years ago

Read 2 more answers

Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.

Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$

$= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C$

substitute u = 1-2x⁵ into the result

$= \dfrac{1}{40(1-2x^5)^4} +C$

Hence $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ $= \dfrac{1}{40(1-2x^5)^4} +C$

5 0

2 years ago

Please help due soon!!!

butalik [34]

Hey there!

Question #1.
2^6 + (2^3)^3

= 64 + (8)^3

= 64 + 8^3

= 64 + 512

= 576

Therefore, the answer should be:

Option A. 576

Question #2.
11^-4 * 11^8

= 1/14,641 * 214,358,881

= 14,641

≈ 11^4

Therefore, the answer should be:

Option C. 11^4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

3 0

1 year ago

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What is the total surface area of the square pyranid?

monitta

Answer:

The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

8 0

2 years ago

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