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3 years ago

The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width

Mathematics

1 answer:

Eduardwww [97]3 years ago

7 0

Answer:

Width = 3 feet

Length = 11 feet

Step-by-step explanation:

Let the width be x feet.

Length = 2x + 5

Perimeter = 28 feet

2 * ( length + width ) = 28

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

3x + 5 = 28/2 = 14

3x = 14 - 5 = 9

x = 9/3

x = 3

Width = 3 feet

Length = 2*3 + 5 = 6 + 5 = 11 feet

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The least common multiple of the numbers 15, 12, 8

Ymorist [56]

Answer: LCM of 8, 12, and 15 is 120.

Step-by-step explanation:

I hope this helps!

6 0

2 years ago

Read 2 more answers

LA = 5x -5 B = 3 + 13 B Solve for r and then find the measure of B:

topjm [15]

Answer:

x = 9º

∠B = 40º

Step-by-step explanation:

5x-5º = 3x+13º

[add 5 to both sides]

5x = 3x+18º

[subtract 3x from both sides]

2x = 18º

[divide each side by 2]

x = 9º

/ / / / / / / / / / / / / / / / / / /

3x+13º = 3(9º)+13º=27º+13º = 40º

6 0

3 years ago

Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$

$=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3$

$=0.95019264$

8 0

3 years ago

What is the approximate square root of 97

iren2701 [21]

Your answer is 9.849

8 0

2 years ago

Macy’s buys a pair of Cole Haan dress shoes wholesale for $90. If Macy’s marks up the price 20%, and tax is 9%, how much did Nor

stich3 [128]

Answer:

Norman bought the shoes for $117.72

Step-by-step explanation:

In order to find the answer to this question, start by multiplying the cost by the markup.

$90 * 20% = $18.

Now we add the $18 to the original price.

$90 + $18 = $108

Now that we have the mark up price, we need to do the same using the tax.

$108 * 9% = $9.72

Finally, we add that to the previous total.

$108 + $9.72 = $117.72

5 0

3 years ago