Write 5 7/8 in an improper fraction

2/5of a number is 80. What is 3/4of the same number?

lara [203]

Answer:

2/5of a number is 80 5/5 = 1 32/1 = simplified = 32

3/4 of the same number 0.75

8 0

2 years ago

Please help with this

erastova [34]

Answer: B

Step-by-step explanation:

Because of Supplementary Angles, we know that the two angles in the right side of the equation add up to 90.

Hope it helps <3

6 0

2 years ago

Students have organized

Olenka [21]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours Elijah will be behind Mercedes

Part C. In more than 2.5 hours Elijah will be ahead Aubrey

Step-by-step explanation:

D = distance

v =speed

t = time

Formula connecting D, v and t:

$D=v\cdot t$

Part A.

Steve's speed: $v=3.5\ mph$

Distance: at least 21 miles

Time: unknown, so

$3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6$

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: $v_M=2.4\ mph$

Elijan's speed: $v_E=3.2\ mph$

Elijan's Distance walked: $D_E$ miles

Mercedes's Distance walked: $D_M$ miles

Time: x hours

Mercedes is 2 miles ahead, so

$D_E=3.2x\\ \\D_M=2.4x+2$

Elijan will be behind when

$D_E$

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

Aubrey's speed: $v_M=3\ mph$

Elijan's speed: $v_E=3.2\ mph$

Elijan's Distance walked: $D_E$ miles

Aubrey's Distance walked: $D_A$ miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42, and Aubrey starts walking at the marker for Mile 42.5.

$D_E=42+3.2x\\ \\D_A=42.5+3x$

Elijan will be ahead of Aubrey when

$D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours$

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

4 0

3 years ago

Your family is putting in a rectangular pool in the back yard. The pool's perimeter equals 28 feet. The contractor want the leng

meriva

Answer:

2.25 ft

Step-by-step explanation:

Perimter= 28ft

W= x ft

L= 3x+5

but

P=2L+2W

substitute

28=2*(3x+5)+2x

28=6x+10+2x

collet like terms

28=8x+10

28-10= 8x

18=8x

divide both sides by 8

x= 18/8

x=2.25 ft

Hence the width is 2.25 ft

4 0

3 years ago

Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week, but can work no more t

Stolb23 [73]

System of inequalities:

$(1) \ 10x+5y\geq 80 \\ \\ (2) \ x+y\leq 12$

Graph is shown below.

<h2>Explanation:</h2>

Let:

x: Number of hour Charlene makes babysitting

y: number of hour Charlene makes gardening

We can represents each statement using inequalities as follows:

<h3>First statement:</h3>

<em>Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week,</em>

The amount of money she makes babysitting is:

$10x$

The amount of money she makes gardening is:

$5y$

She wants to make at least $80 a week

<em>At least </em>in this context means that the minimum amount of money she can makes is $80. In other words, if a is at least b we write:

$a\geq b$

Then, in this context:

$10x+5y\geq 80$

<h3>Second statement:</h3>

<em>She can work no more than 12 hours a week. </em>

<em>No more </em>in this context means that the maximum numbers of hours she can work in a week is 12. In other words, if a no more than b we write:

$a\leq b$

So:

$x+y\leq b$

So, our system of inequalities would be:

$(1) \ 10x+5y\geq 80 \\ \\ (2) \ x+y\leq 12$

By using graphing tool, we get the graph below. The solution is that where both the region of the first and second inequality overlap. Keep in mind that the symbols ≥ ≤ tells us that $80 and 12 hours respectively are included in our solution..

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

8 0

3 years ago