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emmasim [6.3K]
3 years ago
8

The area of a rectangular deck is 680 square feet. The deck’s width is 17 feet. What is its perimeter?

Mathematics
2 answers:
igomit [66]3 years ago
6 0
680/17=40
the length= 40
the width=17
17+17+40+40=114
Lubov Fominskaja [6]3 years ago
4 0
Start by finding the length of the deck.

Area of a rectangle is given by A=length*width.

Let's plug in the information that we know so far,

680 = length*17

solving for length, dividing by 17,

40 = length

Now that we know both dimensions of the rectangular deck,
let's calculate the perimeter,

P = 2length + 2width

P = 2(40) + 2(17)

P = 114

Hope that helps!
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Dahasolnce [82]
The formula for the confidence interval is given by

Sample mean + z*[σ/√n], and
Sample mean - z*[σ/√n]

We have:
Sample mean = 23.95
n = 40 
σ = 2.55
z* for 99% confidence = 2.58

Substitute these values into the formula, we have

23.95 + (2.58)(2.55÷√40) = 24.99
23.95 - (2.58)(2.55÷√40) = 22.91

So the lower interval is 22.91 and the highest interval is 24.99
5 0
3 years ago
A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.
seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}

so

\frac{x}{y}=\frac{1}{8}:\frac{3}{8}

\frac{x}{y}=\frac{1}{3}

x=\frac{y}{3} -----> equation A

\frac{x}{z}=\frac{1}{8}:\frac{1}{2}

\frac{x}{z}=\frac{1}{4}

x=\frac{1}{4}z -----> equation B

\frac{y}{z}=\frac{3}{8}:\frac{1}{2}

\frac{y}{z}=\frac{3}{4}

y=\frac{3}{4}z -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

z=4

<em>Find the value of x</em>

substitute the value of z in equation B

x=\frac{1}{4}(4)

x=1

<em>Find the value of y</em>

substitute the value of z in equation C

y=\frac{3}{4}(4)

y=3

therefore

<em>Bottle 1</em>

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

y=6

<em>Find the value of x</em>

substitute the value of y in equation A

x=\frac{6}{3}=2

<em>Find the value of z</em>

substitute the value of x in equation B

2=\frac{1}{4}z

solve for z

z=8

therefore

<em>Bottle 2</em>

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

x=1\frac{1}{2}

convert to an improper fraction

x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}

<em>Find the value of y</em>

substitute the value of x in equation A

\frac{3}{2}=\frac{y}{3}

y=\frac{9}{2}

convert to mixed number

y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}

<em>Find the value of z</em>

substitute the value of x in equation B

\frac{3}{2}=\frac{1}{4}z

z=6

therefore

<em>Bottle 3</em>

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0
3 years ago
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valkas [14]

Answer:

30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2.
Paraphin [41]
<h3> Hope this attachment helps u</h3>

5 0
3 years ago
I NEED HELP ASAP PLZZZ
GalinKa [24]

Answer:

87

Step-by-step

length x width=area

12*8=96-9=87

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2 years ago
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