Using a graph, table of values, and/or equations solve the following problem.
A sofa and a love seat together costs S351. The sofa costs double the love seat. How much does the love seat cost?
Round and write your answer to the tenths place value. Do not include units​

Answer:

A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105

B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.

C) Plumber A:  250=100+30(5)       Plumber B:  325=50+55(5)

Plumber A charges less money for working 5 hours.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that,

Two plumbers charge an initial fee and an hourly rate.

The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.

Part A:

From the table, we have (1, 105) and (2, 160)

Now, m=(160-105)/(2-1)

= 55

Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get

105=55(1)+c

c=60

Substitute m=55 and c=60 in y=mx+c, we get

y=55x+60 -----(II)

By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.

Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.

Part C: Substitute x=5 in y=100+30x, we get

y=$250

Substitute x=5 in y=55(5)+60, we get

y=$335

Plumber A charges less money for working 5 hours.

Therefore, plumber A charges more initial fee.

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Answer:

No correlation

Step-by-step explanation:

There's no discernible trend in the data.

Answer:

Step-by-step explanation:

First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18

so the tip will be around 18 dollars

hope it helped

Answer: 1/4-(2/3+1/2)

Step-1/4-by-step explanation:

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

Answer:

he donated 1/6 of the total land to charity

Step-by-step explanation:

1/2 went to daughter

1/3 went to daughter

combined, this equals 5/6 of the total land

this leaves 1/6 to be donated

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation:

Step-by-step explanation:

the given height is also the radius of the inscribed circle and the formula for the area is S=2r^2*sqrt(5*(5-2sqrt5))=490*tan18 which roughly rounds to 156.8

Answer: I can only solve #3 The asnwer is -1.65x

Step-by-step explanation:

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-X x 5.5 x 0.2 x 1.5.   <---- Calculate the product

and you will get -1.65x

Hey again!

The answer to your question is 98 feet squared

First, we find the new dimensions:

7 x 2 = 14

3.5 x 2 = 7

Area = length x width, so 14 x 7 = 98

Hope it helps!

Answer:

The average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Step-by-step explanation:

at x₁ = 7, f(x₁) = 8

at x₂ = 60,  f(x₂) = 27

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [27 - 8] / [60-7]  

                     = 19 / 53

                     = 0.36

Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Answer:

B

Step-by-step explanation:

Don't worry I just know, give me Brainliest

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97

Answer:

The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]

The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]

Step-by-step explanation:

The line on the graph passes through the points A (0,6) and B (3,0)

b) Find the gradient of a line perpendicular to AB

First we will find gradient (slope) of AB

The formula used to find Slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=6, x_2=3, y_2=0[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-6}{3-0}\\Slope=\frac{-6}{3}\\Slope=-2[/tex]

So, we get slope: m = -2

Now, the gradient of line perpendicular to AB will be opposite to the slope of AB

The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]

c) Find the equation of line passing through point A and perpendicular to AB

The equation of line can be found using slope m = [tex]\frac{1}{2}[/tex] and y-intercept b

We need to find y-intercept b:

Using slope m = [tex]\frac{1}{2}[/tex]  and point A (0,6)

y=mx+b

6= [tex]\frac{1}{2}[/tex] (0)+b

6=0+b

b=6

So, y-intercept is b =6

So, Equation of line with slope m = [tex]\frac{1}{2}[/tex]  and y-intercept b =6 is:

[tex]y=mx+b\\y=\frac{1}{2}x+6[/tex]

So, The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]

answer

Answer:

here you go

Step-by-step explanation:

-5x+2

Answer:

A' (-6, 4)

B' (2, 2)

C' (-2, -2)

Step-by-step explanation:

Multiply each number by 2.

Answer:

a rational number

Step-by-step explanation:

1) First, find the sum of [tex]\frac{4}{7} +\frac{-1}{3}[/tex]:

[tex]\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}[/tex]

2) Any number that can be written as a fraction is a rational number. Therefore, the sum, [tex]\frac{5}{21}[/tex], is rational.

Answer:

x= -1

Step-by-step explanation:

5x1 would be -5 then -5 - 2 would be -7

Answer:

x = -1

Step-by-step explanation:

The key thing to remember is that every operation you do on either side needs to be done on the other.

Let's start by getting rid of that -2  you can do that by adding 2 to both sides of the equals sign:

5x - 2 = -7

5x - 2 + 2 = -7 + 2

5x - 0 = -5

5x = -5

The next step is to get rid of that 5 on the left.  We can do that by dividing both sides by 5:

5x = -5

5x ÷ 5 = -5 ÷ 5

x = -1

And there you have it! x is equal to negative one.

Answer:

the answer is 1 and 1 fourth

Answer:

10 cents

Step-by-step explanation:

Answer:

$0.25 for each egg

$2.5 for each pound of peanuts

$0.5 for each toilet paper roll

$0.35 for each apple

Step-by-step explanation:

3/12=.25

7.50/3=2.5

2/4=.5

3.5/10=.35

Answer:

x is in the top left of the triangle :)

Step-by-step explanation:

Answer:

its there....

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The equation of the given line is written in "slope-intercept form":

  y = mx + b . . . . . . where m is the slope

Matching this form to the equation you have, you see that ...

  m = 5 . . . the slope of your given line.

__

A parallel line will have the same slope: 5.

__

A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.

A perpendicular line will have a slope of -1/5.

Answer:

im not sure but i think 3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

y = {3/4} x + 1.5

The slope of the line passing through the points (-2, 0) and (2, 3) is 3/4.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

∴ Slope of the line with points (-2, 0) and (2, 3) is,

Slope(m) = (3 - 0)/(2 + 2) = 3/4.

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Answer:

multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45 . ... The multiples of numbers calculator will find 100 multiples of a positive ... Here is a list of the first 20 multiples of the integers 1 through 20.

Step-by-step explanation: