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tatiyna
3 years ago
13

The length of a rectangle is 3 times the width the perimeter is 24ft find the dimensions of the rectangle

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Step-by-step explanation:

let the unknown be x

length = 3x

width = x

Perimeter = 2 lengths + 2 widths

24 ft = 3x + 3x + x + x

24 ft = 8x

3 ft = x

dimensions = length × width

= 3(3) × 3

= 9 ft × 3 ft

if you wanna check,

24 ft = 3(3) + 3(3) + 3 + 3

24 ft = 24

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If x varies directly as y, then what is y when x = 4,<br> knowing that x = 60 when y = 5?
Basile [38]

Answer:  The answer would be 1/2

Step-by-step explanation:

<em>Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x </em>

<em>The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5 </em>

<em>It is a linear equation meaning equation of a straight line. </em>

<em>its form is y= mx+b, where m is the slope of the line, b is the y intercept when x=0. these info you have to memorize like your life depend on it. </em>

<em>next, y varies directly as x. If y = 15 when x = 60, find y when x = 100 </em>

<em>if y= 15, when x=60, then there is a number m such that m*y= 60 </em>

<em>or m= 60/y= 60/15 =4 </em>

<em>so the equation is y=4x. in this cause, the b=0 </em>

<em>so when x=0, y=0 </em>

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<em>Please give me Brainliest</em>

4 0
4 years ago
Read 2 more answers
X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to fo
lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

7 0
4 years ago
A) solve the inequalities -6&lt;4x&lt;8
Komok [63]
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8 0
3 years ago
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Novay_Z [31]
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6 0
3 years ago
Could someone please help answer this, please no spam, will give brainliest, thank you!
Jobisdone [24]

Answer:

x>-5

Step-by-step explanation:

\frac{-1}{5} x+1

Subtract 1 from both sides

\frac{-1}{5} x+1-1

Simplify

\frac{-1}{5} x

Multiply both sides by -1, which reverses the inequality also

\frac{-1}{5} x(-1)>1(-1)

Simplify

\frac{1}{5} x>-1

Multiply both sides by 5

5*\frac{1}{5} x>5(-1)

Simplify

x>-5

4 0
3 years ago
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