A fence will be built to enclose a 100-m by 70-m field. It will need a post at each corner and one every 5 m. How many posts are needed?

Answers

Answer 1

Answer: The answer is 68.

Field had shape of rectangle since has difference in length and width. The perimeter of rectangle can be expressed as:
P = 2 × (a + b)

If:
a = 100 m
b = 70 m
Then
P = 2 × (100 m + 70 m)
P = 2 × 170 m
P = 340 m.

If posts are on every 5 m, the number of needed posts is:
340 m ÷ 5 m = 68.
Thus, 68 posts are needed for the fence.

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Julia and Rasheed are mixing yellow paint and blue paint to make green paint. The mixture needs to be 60% blue paint and 40% yellow paint. If they need to make 3 gallons of the green paint, how much yellow paint should they use?

Answers

Answer:

They should use 1.2 gallons of yellow paint.

Step-by-step explanation:

Given:

Julia and Rasheed are mixing yellow paint and blue paint to make green paint.

The mixture needs to be 60% blue paint and 40% yellow paint.

They need to make 3 gallons of the green paint.

Now, to find the quantity of yellow paint they should use.

As,

60% + 40% = 100%

So, we get the ratio of blue paint to yellow paint:

$60:40$

= $(60)/(40)$

= $(3)/(2)$

= $3:2.$

Thus, the ratio of blue paint : yellow paint is 3:2.

They need to make total 3 gallons of green paint.

Now, to get the quantity of yellow paint:

$(2)/(5)\ of\ 3\ gallons$

$=(2)/(5) * 3$

$=(6)/(5)$

$=1.2\ gallons.$

Therefore, they should use 1.2 gallons of yellow paint.

Simplify

64 + 4(3 5 - 14 ÷ 2) + 7.

O 240
O 135
O 15
O 9

Answers

Answer:

Did you type that write because I got 183

Is this Linear y=4000-70x if it is how do you know

Answers

if we rearrange this we get y=-70x+4000 (only swapped them around) which is the same as the linear equation of y=mx+c as m is -70 and c is 4000 so it is linear

Yes... It goes in a straight line

A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth $38. How many of each type of bill does he have?

Answers

They have 6 $5 bills and 8 $1 bills.

There are 7 $1 bills and 8 $5 bills.

What is 7 copies of the sum of 8 fifths and 4?

Answers

39¹/₅ or 39.2

Further explanation

The Problem:

7 copies of the sum of 8 fifths and 4.
Write an expression to match, and then evaluate.

The Process:

Here are some early expressions that need attention.

8 fifths is $\boxed{(8)/(5)}$
the sum of 8 fifths and 4 is $\boxed{(8)/(5) + 4}$

7 copies of the sum of 8 fifths and 4 mean that we have to multiply 7 with the sum of 8 fifths and 4. The term of "the product" is synonymous with multiplication.

Let us write an expression to match for '7 copies of the sum of 8 fifths and 4'.

$\boxed{\boxed{ \ 7 * \bigg((8)/(5) + 4 \bigg) \ }}$

Let us calculate the operation in parentheses at first.

$\boxed{ \ (8)/(5) + 4 \ }$

$\boxed{ \ (8)/(5) + (20)/(5) \ }$

$\boxed{ \ (28)/(5) \ }$

And now we solve the full expression.

$\boxed{ \ = 7 * \bigg((8)/(5) + 4 \bigg) \ }$

$\boxed{ \ = 7 * (28)/(5) \ }$

$\boxed{\boxed{ \ (196)/(5) \ }}$

In mixed fraction:

$\boxed{ \ (196)/(5) = \ ? \ }$

$\boxed{ \ = (195)/(5) + (1)/(5) \ }$

$\boxed{ \ = 39 + (1)/(5) \ }$

$\boxed{\boxed{ \ 39(1)/(5) \ }}$

In decimal:

$\boxed{ \ 39(1)/(5) = \ ? \ }$

$\boxed{ \ = 39(1 * 2)/(5 * 2) \ }$

$\boxed{ \ = 39(2)/(10) \ }$

$\boxed{\boxed{ \ 39.2 \ }}$

Thus, the result is $\boxed{\boxed{ \ 39(1)/(5) \ or \ 39.2 \ }}$ .

Learn more

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Keywords: what, 7 copies, the sum of, 8 fifths and 4, write an expression to match, and then evaluate, 39¹/₅ or 39.2, multiply, parentheses, in mixed fraction, decimal

all you have to do is 8 x 4 answerx7

How to Factor 4x^2 -121

Answers

difference of 2 perfect squares
for
a^2-b^2=(a-b)(a+b)

so
(2x)^2-(11)^2=(2x-11)(2x+11)

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