A painter charges $20 for every hour that he paints. Let h equal the number of hours he paints and e represent his earnings.Select TWO equations that represent the situation.A. e= 20hB. h=20+eC. 20=h+eD. 20=hxeE. e/h=20

Explanation

two lines are parallel when their slopes are equal,

Step 1

convert the equation to the form

to easily find m

Hence

Step 2

Now we have this info to find the equation of the line

apply the formula

I hope this helps you

25÷2 3/8

Let's remember how to convert

Step 1

convert

Step 2

now , we have 25 divided by 19/8

so, the answer is 200/19

You have to find the equation of the linear function h(x), given that you know two points of the said function.

h(3)=-2 → this notation indicates the ordered pair (3,-2)

h(-3)=16 → this notation indicates the ordered pair (-3,16)

The first step to determine the equation of any line or linear function is to calculate its slope. To do so you have to use the following formula:

Where

(x₁,y₁) are the coordinates of one point of the line

(x,₂,y₂) are the coordinates of a second point of the line

Using the ordered pairs:

(3,-2) as (x₁,y₁)

(-3,16) as (x,₂,y₂)

Calculate the slope as follows:

So the slope of the linear function is m=-3

To determine the equation you can use the point-slope form:

Where

m represents the slope

(x₁,y₁) are the coordinates of one point of the line

I will use the point (3,-2) and the slope m=-3 to determine the equation but you can use either ordered pair to do so.

Now, what's left is to write the equation in slope-intercept form:

-Distribute the multiplication on the parentheses term:

-Pass "+2" to the right side of the equal sign by applying the opposite operation to both sides of the equal sign "-2"

The equation of the linear function is:

To find the value of h(5), you have to replace the equation of the function with x=5 and calculate the corresponding h(x) value

So:

radius = 20 inches

angle = θ= 45°

We would apply length of an arc:

Since the options is in terms of π, the answer will be in that form

We have:

April --> -2.5

May --> Negative 2 and one-half = - 2 + 1/2 = -2.5

June --> 3.1

July --> - 1.6

Aug --> 2 and two-thirds = 2 + 2/3 = 2.67

We place them on the number line

Therefore,

June > August

April = May

May < July

May ≠ August

Answer: The true comparison is April = May

(a). From the given table,

R(0)=226.6

R(10)=205.6

The average rate of change for the temperature from 0 minutes to 10 minutes is

(a) The average rate of change for the temperature from 0 minutes to 10 minutes is -2.1 (in degree centrigrade)

Minus sign implies that the temperature is deacreasing with increasing time

(b). Again,

R(30)=157.6

R(50)=119.6

The average rate of change for the temperature from 30 minutes to 50 minutes is

(b) The average rate of change for the temperature from 30 minutes to 50 minutes is -1.9 (in degree centrigrade)

Minus sign implies that the temperature is deacreasing with increasing time

.Explanation:

we are given the following matrices

To compute

We will simply multiply the entries of G by 4 and C by 2

Thus, we will have

The final step will be to add the terms together

Thus, we will have

Find out the permutation 10P3

In order to calculate the rate of change, we just need to divide the difference in megawatt hours generated between 2007 and 2012 by the period of 5 years.

So we have that:

So the rate of change is 22.8 millions of megawatt hours generated per year.

Given data:

The given triangles.

The given triangles are congruent by side-angle-side (ASA) rule.

Thus, the given triangles are congruent by ASA.

The given statement is Four less than a number is nine.

Remember that "less than" refers to subtraction. "A number" refers to a variable x. "is" refers to equality. So, the expression would be

The effect of both trains moving in opposite directions is the same that if one of them was stationary and the other one was moving at 65 + 72 = 137 mph.

Now, we know that distance = speed x time. Let's call the distance d and the time y

We would have:

Using the distance we're given,

Solving for t :

It would take 6 hours for them to be 822 miles apart .

hello

to solve this question, need to calculate their speeds and compare

student A ran 3/4 miles in 6 mins

now we can substitute the values into the equatio

Lixin has x number of classmates and plan to buy her a birthday gift worth $36.

So basically, they need to contribute 36/x dollars each in order to buy the gift.

But 5 of them will not contribute and it cost them to add $0.24 each

So from 36/x dollars, it become (36/x + 0.24) dollars each

Multiply this individual contribution by the number of her classmates which was reduced by 5. (x - 5)

The equation will be :

Simplify the equation :

Multiply both sides by x to remove the denominator.

Rearrange and combine like terms :

Divide both sides by 0.24 to make the coefficient of x^2 become 1 :

Solve by factoring completely :

Equate both factors to 0, then solve for x :

x - 30 = 0

x = 30

x + 25 = 0

x = -25

Neglect negative value since there is no negative value for the number of persons.

The answer is x = 30

To summarize :

i Expression in terms of x :

ii Equation in x that reduces to x^2 - 5x - 750 = 0

iii Number of classmates Lixin has.

x = 30

Answer:

this is 50. i = 50

Step-by-step explanation:

hope it helps you

Answer:

Explanation:

Here, we want to find the area of the polygon

Mathematically, we have that calculated as:

where:

n is the number of sides of the polygon which is 9

b is the length of a side which is 14 cm

a is the length of the apothem which is 4 cm

Substituting the values, we have it that:

In this case the answer is very simple. .

We must use the graph to find the answers.

Step 01:

Data

For x = 2 ===> y = 1

Step 02:

Direct variation equation

y = k * x

Constant of proportionality

x = 2 , y = 1

The solution is:

Constant of proportionality = k

k = 1/2

Direct variation equation

y = k * x

y = (1/2) * x

Answer:

0, that is not possible

Step-by-step explanation:

Since she gets a discount she will always pay less

To determine the unit price for each detergent, i.e. the price per ounce, you have to divide the cost of the detergent by the number of ounces the container has.

Detergent A

Has 32 ounces

Costs $4.80

The unit price can be calculated as:

Detergent A costs $0.15/ounce

Detergent B

Has 48 ounces

Costs $5.76

The unit price can be calculated as the quotient between the price and the amount of detergent:

Detergent B costs $0.12/ounce

Detergent C

Has 128ounces

Costs $17.90

Calculate the unit price by dividing the price by the number of ounces of the container:

Detergent C costs $0.14/ounce.

The best detergent to buy is the one that has the lower unit price, so to determine which one is it you have to compare their price per ounce.

In this case, detergent B has the lower price per ounce and thus it is the best detergent to buy.

We have two cases. The first month, they played in 3 private parties that payed the same. They had a cost of $200 in travel and, in the end, they made $2500. Let "p" be the paid amount of each party. Since there were 3, they were payed 3*p. If we then substract their expenses of $200, we get the final amount, that should be equal to $2500.

In an equation, this is:

So, each party payed $900.

In the second month, they worked on 5 bar gigs and 2 private parties. We already know that each private party pays $900, so, if "b" is the average amount they made in each bar gig, then "5b" will be the total they made in bar gigs and, adding the party amount, we have, in the second month:

The had $350 travel expenses, so we need to substract this and we should end up with the total they made, that was $4125:

Thus, on average, they were payed $535 per bar gig.

In this expression, we can solve it by applying the distributive property

3(2y-7)

6y-21

So, factor 3 multiplies each term inside the parentheses.

2)-(x+4)

The minus outside the bracket works like a -1 multiplying it

-(x+4)

-x-4

3) For this one, remember the rule for multiplying fractions and then simplifying:

4) 6( x+1) -5(x+2)

6x+6 -5x-10

6x-5x+6-10

x-4

Answer:

133.45 m^3

Explanation:

Given:

Diameter of the cone (d) = 10 meters

Then the radius(r) of the cone will be d/2 = 10/2 = 5 meters

Height of the cone (h) = 5.1 meters

Pi = 3.14

We'll go ahead and use the below formula to determine the volume of the cone(V);

So the volume of the cone is 133.45 m^3

EXPLANATION

Given:

Point ( - 4, 1)

⇒x = -4 and y = 1

Perpendicular equation

3/4 x + y = -5/4

We need to re-write the above equation in the form y = mx + b

y = -3/4 x -5/4

Compare the above with y=mx + b where m is the slope and b is the intercept.

slope(m) = -3/4

Slope of vertical lines are inverse of one another.

This implies that the slpe of our new equation is:

Next, is to find the intercept of the new equation.

We can find this by substituting m = 4/3 , x = -4 and y = 1 into y=mx + b and then solve for b.

That is;

We can proceed to form the new equation by simply substituting the values of m and b into y=mx + b

Hence, the equation is:

The Solution:

Given the sequence below:

We are required to identify the type of sequence and to find the explicit rule for the given sequence.

Step 1:

To determine the type of sequence, we shall run the following check:

So,

Thus, the sequence is an arithmetic sequence.

Step 2:

To find the explicit rule, we shall use the formula below:

In this case,

Substituting these values in the formula, we get

Therefore, the explicit rule of the sequence is :

EXPLANATION

2) 812: The place of the underlined digits corresponds to UNITS.

VALUE --> 812: eight hundred twelve

She could take

1.- {x|x Scoop}

2.- {x|x Light}

3.- {x|x Lanark}

4.- {x|x Scoop, Light}

5.- {x|x Scoop. Lanark}

6.- {x|x Light, Lanark}

Given

Find

Exact solution by quadratic formula

Explanation

Quadratic formula is given by

here a = 1 , b = -3 and c = 1

substitute the values in quadratic formula ,

Final Answer

Therefore , the correct option is 4.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Jeff = 2 tens 42 ones

Victor = 3 tens 51 ones

what number is = ?

Step 02:

Jeff = 2 tens 42 ones

2 * 10 = 20

42 * 1 = 42

----------

Victor = 3 tens 51 ones

Answer:

Jeff: 62

Victor: 81

Step-by-step explanation:

Jeff has a number with 2 tens, and 42 ones. We can write out our 2 tens like this: 10 + 10 = 20

Next, he has 42 ones. This is just another way of saying '42'

So, jeff picked a number that is 20 + 42 = 62

Now, Victor. Victor has a number with 3 tens. This is saying: 10 + 10 + 10 which is 30. He has 51 ones, which is just the number 51.

So, Victor's number is 30 + 51 = 81

Shawn's age = 5 years

Ash's age = 8 years

Crystal's age = 20 years

Oscar's age = 16 years

Let Ash's age be represented by A

Let the Shawn's age be represented as S

Let the Crystal's age be represented as C

Let Oscar's age be represented as O

Ash is three years older than Shawn

A = S + 3.....................(1)

Crystal is 4 times as old as Shawn

C = 4S................................(2)

Oscar is twice as old as Ash

O = 2A.................................(3)

Altogether, their ages total 49

A + S + C + O = 49 ...............(4)

First, to get Oscar's age in terms of Shawn's age, substitute equation (1) into equation (3)

O = 2 ( S + 3)

O = 2S + 6..................(5)

Substitute equations (1), (2), and (5) into equation (4)

(S + 3) + S + (4S) + (2S + 6) = 49

S + S + 4S + 2S + 3 + 6 = 49

8S + 9 = 49

8S = 49 - 9

8S = 40

S = 40 / 8

S = 5

Shawn's age = 5 years

To get Ash's age, substitute the value of S into equation (1)

A = S + 3

A = 5 + 3

A = 8

Ash's age = 8 years

To get Crystal's age, substitute the value of S into equation (2)

C = 4S

C = 4(5)

C = 20

Crystal's age = 20 years

To get Oscar's age, substitute the value of A into equation (3)

O = 2A

O = 2(8)

O = 16

Oscar's age = 16 years

Simplify the equation.

Determine the zeros of the equation by using quadratic formula.

THus zeros of the equation is,

and