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3 years ago

Yes no

Mathematics

1 answer:

ikadub [295]3 years ago

3 0

Answer:

I am not going for the next two days and I'm going through the process and I'm trying not really into the process to make a good

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The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.

icang [17]

Answer:

The width of the garden is 25 feet

The length of the garden is 60 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle

= P = 2L + 2W

Where L = Length, W = Width

The length of the garden is 10 feet more than twice its width.

P = 170

L = 2W + 10

Hence,

170 = 2(2W + 10) + 2W

170 = 4W + 20 + 2W

Collect like terms

170 - 20 = 6W

150 = 6W

W = 150/6

W = 25 feet

The width of the garden is 25 feet

Remember

L = 2W + 10

L = 2(25) + 10

L = 50 + 10

L = 60 feet

The length of the garden is 60 feet

3 0

3 years ago

How many solutions does each equation have?

NikAS [45]

1.
2x-2=2x+32x-2=2x+3
notice
2x-3=2x+2
minus 2x both sides
-3=2
false
no solution

2. 5m-4=7m+85m-4
add 4 to both sides
5m=92m
therefor m=0
but wait
5m-4=7m+8
5(0)-4=7(0)+8
-4=8
false
no solution

3.
y+7=y-3
minus y both sides
7=-3
false
no solution

none of them have solutions

7 0

3 years ago

Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks

aniked [119]

Answer:

A. Mean of the amount Sally spends on breakfast daily = $ 3.90

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

B. Mean of the amount Sally spends on breakfast weekly = $ 27.30

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0

4 years ago

Adia collects 435 cents in nickels. How many nickels does she collect?

julia-pushkina [17]

Answer:

Adia collects 87 nickels.

Step-by-step explanation:

Each nickel is worth 5 cents.

435 / 5 = 87

4 0

3 years ago

The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find

ICE Princess25 [194]

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

7 0

3 years ago