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4 years ago

Lenni has a rectangular garden with a length of 5x-7 and a width of x-2.

Mathematics

2 answers:

lora16 [44]4 years ago

8 0

Answer:

P = 12x - 18, x = 7 feet

Step-by-step explanation:

We know that the formula for the perimeter of a rectangle is:

$P=2l+2w$

Where l is the length and w is the width. So we just substitute in for variables:

P = 2 (5x - 7) + 2 (x - 2)

We distribute by foiling:

P = 10x - 14 + 2x - 4

Then combine like terms:

P = 12x - 18

This can be further factored to 6(2x - 3) if needed.

Since we know the expression for perimeter, we can just set it equal to 66 feet, like this:

6(2x - 3) = 66

Divide both sides by 6:

2x - 3 = 11

Add 3 to both sides:

2x = 14

Divide both sides by 2:

x = 7 feet

Setler79 [48]4 years ago

5 0

Answer:

ths for the points TEHEHEHEHE

Step-by-step explanation:

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Use the subtraction method to solve the system of equations. Choose the correct ordered pair. 2x-y=6

Ber [7]

Answer:

Check for (3, 0)

Put x = 3 and y = 0 in equation 2x – y = 6

2(3) – (0) = 6

6 = 6

<h2>True statement. </h2>

(3,0) is a solution of 2x – y = 6.

(ii) Check for (0, 6)

Put x = 0 and y = 6 in 2x – y = 6

2 x 0 – 6 = 6-6 = 6

<h2>False statement. </h2>

⇒ (0, 6) is not a solution of 2x – y = 6.

(iii) Check for (2, -2)

Put x = 0 and y = 6 in 2x – y = 6

2 x 2 – (-2) = 6

4 + 2 = 6

6 = 6

<h2>True statement. </h2>

⇒ (2,-2) is a solution of 2x – y = 6.

(iv) Check for (√3, 0)

Put x = √3 and y = 0 in 2x – y = 6

2 x √3 – 0 = 6

2√3 = 6

<h2>False statement. </h2>

⇒(√3, 0) is not a solution of 2x – y = 6.

(v) Check for (1/2, -5)

Put x = 1/2 and y = -5 in 2x – y = 6

2 x (1/2) – (-5) = 6

1 + 5 = 6

6 = 6

<h2>True statement. </h2>

⇒ (1/2, -5) is a solution of 2x – y = 6.

Step-by-step explanation:

Hope it is helpful......

8 0

3 years ago

Give the coordinates of a shape that can be rotated about the y-axis to create a cylinder.

kirill [66]

It's the rectangle, if we rotate it about y-axis, it would create a cylinder..

7 0

3 years ago

A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp

Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0

3 years ago

In a recent international sport competition, the top 3 countries— Country A, Country B, and Country C— won a total of 134 medals

vlada-n [284]

Answer:

Country A = 85, Country B = 29, Country C = 20

Step-by-step explanation:

A+B+C=134 ----- eq(1)

B=C+9 ------------ eq(2)

A=36+B+C ------ eq(3)

By substituting eq(2) in eq(3), we get:

A=36+C+9+C

A=2C+45 ------- eq(4)

Now substituting eq(2) & eq(4) in eq(1), we get

2C+45+C+9+C=134

4C+54=134

4C=134-54

4C=80

C=20

Now putting the value of C in eq(2),

B=20+9

B=29

Substituting the value of B & C in eq(1), we get:

A+29+20=134

A+49=134

A=134-49

A=85

6 0

3 years ago

HELP ME PLEASEEE!!!!<br> don’t use for points or i’ll report and get ur info.

Vadim26 [7]

-6
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Llgsotsoyeitsiysiits

3 0

4 years ago

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