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Kitty [74]
3 years ago
9

The perimeter of a rectangle is 400 yards. what are the dimensions of the rectangle if the length is 50 yards more than the​ wid

th?
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0
2x+2y=400
y=x+50

2x+2(x+50)=400
2x+2x+100=4004x=300x=75

y=x+50
y=75+50
y=125

I believe the dimensions are length=125 and width=75
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1 5/7÷4/9 = what's the answer and how to write the problem out
balu736 [363]

The solution to given expression 1\frac{5}{7} \div \frac{4}{9} is \frac{27}{7} or 3.8571

<em><u>Solution:</u></em>

Given expression is:

1\frac{5}{7} \div \frac{4}{9}

<em><u>First let us convert the mixed fraction to improper fraction</u></em>

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Thus we get,

1\frac{5}{7} = \frac{1 \times 7 + 5}{7} = \frac{12}{7}

Now the given expression becomes,

1\frac{5}{7} \div \frac{4}{9} = \frac{12}{7} \div \frac{4}{9}

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

\frac{12}{7} \div \frac{4}{9} = \frac{12}{7} \times \frac{9}{4}

Multiply the numerators, multiply the denominators, and leave the product in factored form

\frac{12}{7} \times \frac{9}{4} = \frac{27}{7}

In decimal form we get,

\frac{27}{7} = 3.8571

Thus the solution to given expression is \frac{27}{7} or 3.8571

4 0
3 years ago
Anyone please...Explain &amp; solve
Nitella [24]

Answer:

y = -2x

Step-by-step explanation:

We have direct variation means

y =kx

We know y and x

10 = k (-5)

Solve for k by diving by -5

10/-5 = k (-5)/-5

-2 = k

y = -2x


4 0
3 years ago
Read 2 more answers
Combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
ch4aika [34]

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

7 0
3 years ago
(07.01 MC)
OverLord2011 [107]

Answer: 12/5

Step-by-step explanation:

4 0
3 years ago
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If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the
vitfil [10]

Answer: 9\pi \ in.^2

Step-by-step explanation:

Given

The height of the cylinder is h=7\ in.

The volume of the cylinder is V=63\pi \ in.^3

The volume of the cylinder is the product of area and height

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Insert the values

\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2

Thus, the area of the cross-section is 9\pi \ in.^2

7 0
3 years ago
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