Half a number plus 2.5 times that number equals 18. What is the number?

Step-by-step explanation:

First, you want to find the unit rate, or how much Han earns per hour

You can do this by setting up an equation

x= amount earned per hour

4x= 33          Initial equation

4x/4 = 33/4   Isolating the variable

x = 33/4 = 8 1/4 = 8.25    The unit rate

Now you want to set up a new equation to find out how much he makes for 7 hours

x= amount earned per hour

y = total amount earned

y = 7x    Initial equation

y = 7 ( 8.25)   Substitution

y = 57.75  The answer

Han earns $57.75 for every 7 hours

Checking the answer....

y = 7x

57.75 = 7x    Substitute y instead

57.75/7 = 7x/7

8.25 = x

Your answer should be correct

Hope this helps!!!

Answer:

[tex]26x^6y^4[/tex]

Step-by-step explanation:

the volume is like

[tex]V = length\cdot width\cdot depth[/tex]

so we have

[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

Since, Gabby has 20 coins in her pocket.

Therefore 2n = 20 from n = q + d

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652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50

Answer: A=4πr2

I really hope this helped!!

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

3-3/4-19

0/-15

So its 0

Answer:

Step-by-step explanation:

Answer:

C. x = 50

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]

   = [tex]\sqrt{8^2+(y+3)^2}[/tex]

Given distance between points is 10, then

[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

Answer:

C-1/64

Step-by-step explanation:

(1/4)(1/4)(1/4)=1/64

Mark the brainliest

Answer:

y = 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

you would add 4 to both sides and get

102=3y

then you would divide by three and get

34=y

Answer:

Kayla is correct

Step-by-step explanation:

For a vertical line, the x-value is the same

This means there is no change in the x value

A slope is calculated by dividing by the change in x value

since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined

This means that Kayla is correct

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1   (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

Answer:

71 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180.

180 - 24 - 85 = 71.

The required measure of the remaining angle would be 71°

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

A triangle has angle measurements of 24º and 85° which is given in the question.

The linear pair of angles are adjacent angles the sum of their measures is 180°

∵ The two angles form a linear pair

∴ The sum of the two angles = 180°

Let the measure of the remaining angle would be x

⇒ 24° + 85°  + x = 180°

⇒ x = 180 - 24° - 85°

⇒ x = 71°.

Therefore, the required measure of the remaining angle would be 71°

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Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

Answer:

1,000

Step-by-step explanation:

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

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Answer:

the answer is $18.5

Step-by-step explanation:

30 + tax is $31.50

Answer:

$18.50

Step-by-step explanation:

Before Tax Price: $30

Sales Tax Rate: 5%

After Tax Price: $18.50

How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:

[cost of the item] x [percentage as a decimal] = [sales tax]

The probability of picking a chocolate chip cookie is 1/3.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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Answer:

whats the question?

Step-by-step explanation:

Answer:

1) B=-12

2) 189.69

Step-by-step explanation:

Explanation 1: To find B, we have to replace the given points in the equation, that is , x=2 and y=1

[tex]3x+By+6=0\\3.2+B.1+6=0[/tex]

Then we solve for B.

[tex]6+B+6=0\\B+12=0\\B=-12\\[/tex]

Hence , B=-12

explanation 2: you have the following equation for the number of liters 3% milk:

[tex]0.03+0.1(200)-x=0.05(200)[/tex]

Solve the previous equation for x:

[tex]0.03x+20-x=10[/tex]

[tex]0.03-x=10-20\\-0.97x=-10\\x=10.31[/tex]

Hence , there are 10.31 liters of 3% milk  

Add the numbers of liters 10% butterfat is :

[tex]200-10.31=189.69 liters[/tex]

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Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Answer:

A). Scale factor = [tex]\frac{1}{4}[/tex]

B). Length of the unknown side = 2.75 feet

Step-by-step explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor = [tex]\frac{\text{Side length of the image}}{\text{Side length of the preimage}}[/tex]

                    = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

                    = [tex]\frac{4}{16}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Part B

Scale factor = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

[tex]\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}[/tex]

Therefore, side length of the unknown side = [tex]\frac{11}{4}[/tex] = 2.75 feet

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Answer:

there are a total of 20 boys and 30 girls in the choir of 50 students

Step-by-step explanation:

Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students

Answer:

£450

Step-by-step explanation:

12%=£54

100%=?

we will criss cross it then 12%×?=100%×£54÷12

=£450

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8