A 7/16 inch-long bolt is used in a machine. What is the length written as a decimal?

Answers

Answer 1
Answer: 7/16 can rewritten as;
7÷16
=0.4375
So, 7/16 is the same as 0.4375

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A rectangular field with an area of 5000m^2 is enclosed by 300m of fencing. Find the dimensions of the field? How?
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What is 0.32 written as a fraction in simplest form?

Answers

0.32 in fraction form is 32/100. then to make it simplest form, divide by a common factor. 32/2 = 16 and 100/2 = 50, which gives you 16/50, however this can be simplified more. divide by 2 again and you have 8/25, which cannot be simplified any further. another way to have found this answer would be to find the greatest common factor as the first step, which would be 4; 32/4=8 and 100/4=25
Okay the last number behind the decimal is in the hundredths place put 32 over 100. 32/100. Now find a number they can both be divided equally by. The highest number they can both be divided by is 4. 32÷4=8 and 100÷4=25 now put 8 over 25 and you have your answer. ANSWER: 32/100=8/25

The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?

Answers

The meters of fencing that is needed is = 3.36m

Calculation of needed meters

The garden is designed in a trapezoid form with sides= a; 3.3m and b; 5.28m.

The area of the trapezoid garden = 13.92 m²

Therefore the meters of fencing needed which is height = ?

The formula for the area of trapezoid = A = (a+b/2)h

From the formula make h the subject of formula;

h = A *2/a+b

h = 13.92*2/3.3+5.28

h =27.84/8.28

h= 3.36m

Therefore, the meters of fencing that is needed is = 3.36m.

Learn more about trapezoid here:

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Final answer:

The amount of fencing needed is 15.96 m.

Explanation:

To find the amount of fencing needed, we need to calculate the perimeter of the garden. Since the area is given as 13.92 square meters.

The perimeter is the total length of all the sides of the garden added together.

The area of the garden is 13.92 square meters, which means that the garden is a rectangle with a length of 4 meters and a width of 3.48 meters.

Perimeter = 2 * (length + width)

Perimeter = 2 * (4 + 3.48)

Perimeter = 15.96 meters

Therefore, 15.96 meters of fencing are needed.

Learn more about Perimeter of a garden here:

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Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a. Write an equation that can be used to find the number of swimming lessons that she paid for.

Answers

237+15x=402
-237        -237
0               165
x= 15÷165
x=11
237+15(11)=402
237+165=402
Caitlin paid for 11 swimming lessons, because $402-$15(11 *SL).
*SL=Swimming Lessons

Casey is reading a book for a book report. At 3:30 P.M., he started reading where he had left off the day before. At 5:30 P.M. he was on page 160. At 8:00 P.M. he was on page 280. If reading the book is modeled by a linear function, what page did Casey start on at 3:30 P.M.?

Answers

To find the time Casey read today, 5:30 from 8:00.
8:00 - 5:30 = 2:30
Casey

To find the number of pages Casey read today subtract the page number he started reading on to the page he stopped on.
280 - 160 = 120
Casey read 120 pages today.

Now you need to find how many pages Casey read in one hour.

If Casey read 120 pages in 2.5 hours, you can find how many pages he read in one hour by dividing 120 by 2.5.
120 ÷ 2.5 = 48.
Casey read 48 pages in one hour.

Casey was on page 160 at 5:30, and you need to find what page he was on at 3:30. Since Casey read for 2 hours before he reached page 160, you need to subtract 2 hours worth of reading from that number.

160 - (2×48)
160 - 96
64


Casey was on page 64 at 3:30 pm today.

if he started reading from where he left off, and it's 5:30 and he is at page 160, and then he got to page 280 by 8:00, that is 2 hours and 30 minutes. so bring the reading time down into easier numbers so that 5-> 30 minute terms, then find out how many pages he read in 30 minutes. The difference between 160 pages and 280 pages is 120 pages. 120 divided by 30 equals 4. the amount of time between 3:30 and 5:30 is 2 hours which is 4-> 30 minute terms. So if it takes 30 minutes to read 4 pages then multiply 4 with 4 which equals 16, and finally subtract 16 from 160 and that's going to equal 144 pages.

(Sorry about the paragraph but i figured ide give you my reasoning and work just in case if i was wrong, ide like to know what i did if i am wrong. And if I'm right then that's how you show your work!)

Find the surface area of a conical grain storage tank that has a height of 46 meters and a diameter of 16 meters. Round the answer to the nearest square meter. A. 1375 m^2

B. 3151 m^2

C. 2548 m^2

Answers

Please see the pic, I'd solved your question in it.

Find the product.(-d + 4)(-d - 4)
-d2 - 16
d2 - 16
d2 + 16
d2 - 8d - 16

Answers

(-d + 4) (-d - 4) = 0
-d(-d - 4) + 4(-d - 4) = 0
d² + 4d - 4d - 16 = 0 
d² - 16 = 0   2nd choice.

We can find the value of d. 
d² - 16 = 0
d² = 16
√d² = √16
d = 4

to check:
(-4+4) (-4 - 4) = 0
0 (-16) = 0
0 = 0

Multiplication property of 0. Any number multiplied by 0 is equal to 0.