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liraira [26]
3 years ago
7

You spend $20 total on paint and brushes. Paint cost $4 each and brushes cost $0.50 each. You buy twice as many brushes as paint

. How many brushes and paint did you buy?
Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

Brushes= 8, Paint= 4

Step-by-step explanation:

Given: Total spending on paint and brush= $20

           Cost of each paint= $4

           Cost of each brush= $0.50.

Let´s assume the number of paint bought be "x"

∴ number of brushes bought is "2x".

Now, forming an equation to determine the number of paint and brushes bought.

⇒ \$4\times x+ \$0.50\times 2x= \$20

⇒4x+x= 20

⇒5x= 20

Dividing both side by 5

⇒ x= \frac{20}{5}

∴ x= 4\ unit

Hence, number of paint bought is 4 units.

Next finding the number of brushes bought.

Number of brushes bought= 2\times 4

∴ Number of brushes bought= 8\ units

Hence, number of brushes bought is 8 units.

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Answer:

Given - A rectangle of length 18 feet and wide 14 feet

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Solution -

Area of rectangle = Length * Breadth

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18 \times 14

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3 0
2 years ago
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Patti green and her husband are purchasing a condominium for $123,000. They have $15,000 for a down payment. What is the amount
Inessa [10]

Answer:

The amount of their mortgage loan is $108000

Step-by-step explanation:

we are given

total purchasing amount =$123000

down payment amount = $15000

we know that

Mortgage loan amount =  (total purchasing amount)-(down payment amount)

now, we can plug value

Mortgage loan amount = $123000-$15000

Mortgage loan amount =$108000

6 0
3 years ago
How large a sample should be selected to provide a 95% confidence interval with a margin of error of 6? Assume that the populati
marshall27 [118]

Using the z-distribution, it is found that a sample of 171 should be selected.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

For this problem, the parameters are:

z = 1.96, \sigma = 40, M = 6

Hence we solve for n to find the needed sample size.

M = z\frac{\sigma}{\sqrt{n}}

6 = 1.96\frac{40}{\sqrt{n}}

6\sqrt{n} = 40 \times 1.96

\sqrt{n} = \frac{40 \times 1.96}{6}

(\sqrt{n})^2 = \left(\frac{40 \times 1.96}{6}\right)^2

n = 170.7.

Rounding up, a sample of 171 should be selected.

More can be learned about the z-distribution at brainly.com/question/25890103

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4 0
2 years ago
Through which points should a line of rotation be
uysha [10]

Answer:f and i

Step-by-step explanation:

4 0
3 years ago
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???? please help lol
kow [346]

Answer:

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  2. 10π ft.

Step-by-step explanation:

Area of the sector :

Area (sector) = \pi r^{2} \times \frac{\theta}{360^{o}}

Finding the area given r = 30 ft. and θ = 60° :

⇒ Area = π × (30)² × 60/360

⇒ Area = π × 900/6

⇒ Area = 150π ft²

===========================================================

Length of the arc :

Length (arc) =2 \pi r} \times \frac{\theta}{360^{o}}

Finding the arc length given r = 30 ft. and θ = 60° :

⇒ Arc Length = 2 × π × 30 × 60/360

⇒ Arc Length = 60/6 × π

⇒ Arc Length = 10π ft.

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2 years ago
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