A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve equation to find the number of hours T of labor spent repairing the car

Equation : __ =553

T= ___ hours

Answers

Answer 1

Answer:

6

Step-by-step explanation

265+48=313

553-313=240

240/60=6

Answer 2

Answer:

equation : 265 + 48T = 553

T = 6 hours

Step-by-step explanation:

equation

553 - 265 = 288

288 /48 = 6

the number of hours spent is 6

equation : 265 + 48T = 553

T = 6 hours


Related Questions

Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?

Answers

Answer:

$3,270

Step-by-step explanation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 18%/100 = 0.18 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 3000(1 + (0.18 × 0.5)) = 3270

A = $3,270.00

The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.

20 points
5. Convert the following standard equation to slope-intercept form (y =
mx + b) and identify the slope: 8x + 2y = 20 *

Answers

Answer:

y = -4x +10

Slope = -4

Step-by-step explanation:

[tex]8x + 2y = 20[/tex]

Slope intercept form =

[tex]y = mx + b[/tex]

[tex]2y = - 8x + 20[/tex]

Divide both sides of the equation by 2

[tex] \frac{2y}{2} = \frac{ - 8x}{2} + \frac{20}{2} [/tex]

Simplify

[tex]y = - 4x + 10[/tex]

In y= mx+b , m is the slope and the coefficient of x

[tex]m = - 4[/tex]

Pls help me on question 15

Answers

I think it’s b try that

Please answer these with lots of detail. I want to be able to understand the topic and material well.

Answers

Step-by-step explanation:

Q3

(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2

What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).

If we move 2 units left of x=1, we get f(x) = 4.

If we move about 3.5 units right of x=1, we get f(x) = 4.

Therefore, δ can't be more than 2.

(b) If 0 < |x| < δ, then |f(x) − 3| < 1

What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).

If we move 1 unit left of x=0, we get f(x) = 4.

If we move 1 unts right of x=0, we get f(x) = 2.

Therefore, δ can't be more than 1.

Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.

Q4

(a) Yes.  If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.

(b) No.  f(1) = 300, so even if δ = 0, f(x) will be less than 400.

(c) Yes.  If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.

What is the absolute value of 3 2/3

Answers

Answer:

-3 2/3

Step-by-step explanation:

If the number is positive and they are asking for the absolute value it's always going to be negative of the number they are asking you for the absolute value of. Same thing if it was a negative 3 2/3 then the absolute value of -3 2/3 would be positive 3 2/3.

I hope this helped! <3

Answer: 3.66..

Step-by-step explanation: absolute value is the value of the number from the number 0 on the number line so, 3 ⅔ in decimals is 3.66... so the answer is 3.66... because that is how much the number is if you are counting from 0.

What is the first step in evaluating the expression shown below?

12 ÷ (74 – 36) + 8 – 2

a
Subtract 74 – 36.
b
Divide 12 ÷ 74.
c
Add 36 + 8.
d
Subtract 8 – 2.

Answers

Answer:

A

Step-by-step explanation:

because it is is parenthesis

You need a piece of paper to measure 64 Dash 25 cylinders if you take two together that each measure 38.4 silver meters how much do you need to cut off

Answers

Answer:

The length needed to cut off is 12.55 cm

Step-by-step explanation:

The corrected question is:

you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?

Solution:

measurement/length of each paper piece = 38.4 cm

measurement/ length required = 64.25 cm

If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:

38.4 + 38.4 = 76.8 cm

So to calculate how much we need to cut off:

length required to cutoff = total length of two pieces - length  required

                                         = 76.8 - 64.25

                                         = 12.55 cm

So the length required to cut off is 12.55 cm

6*10^-2 is how many times as large as 2*10^-8

Answers

Answer:

3000000

Step-by-step explanation:

6×[tex]10^{-2}[/tex] = 6 × 1/(10)² = 6 × 1/100 = 6/1002×[tex]10^{-8}[/tex] = 2 × 1/[tex]10^{8}[/tex] = 2 × 1/100000000 = 2/100000000

Divide 6/100 and 2/100000000 to find how many times as large

The answer is 3000000

3000000 is the answer

what type of angle is <CEB? ​

Answers

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

PLEASE help me at 1 B !!!!

Answers

it would be 66 cause you know it

Answer:

a = 1, b = 4

Step-by-step explanation:

You have worked out part (a) correctly, that is

0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]

(b)

[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]  

Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus

[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus

6a + 11b = 50

Choose a = 1 ( a positive integer ), then

6(1) + 11b = 50

6 + 11b = 50 ( subtract 6 from both sides )

11b = 44 ( divide both sides by 11 )

b = 4

a = 1, b = 4, so

[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]

What is 3.18 written as a rational?

Answers

Answer:

[tex]\frac{318}{100}[/tex]

Step-by-step explanation:

A rational number can be expressed as

[tex]\frac{a}{b}[/tex] ← where a and b are integers

The 8 in 3.18 is in the hundredths position, thus

3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number


Walk me through solving this one-step equation for x.

-18 + x = -11

Answers

-18 + x = -11

Let's add 18 to both sides

x = 7

Answer:

7

Step-by-step explanation:

Step 1:

- 18 + x = - 11

Step 2:

x = - 11 + 18

Answer:

x = 7

Hope This Helps :)

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Answers

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = [tex]\frac{5+1}{k-4}[/tex] = [tex]\frac{6}{k-4}[/tex] = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

you save $150 per month for 2 years. what is the total amount you have saved?

Answers

The answer is 300 because 2 times 15 is 30 than you just add the zero

Answer:

$300

Step-by-step explanation:

i think you multiply 150 by 2 to get 300

A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem.

Answers

Answer:

$27

Step-by-step explanation:

10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.

Answer:

27$

Step-by-step explanation:

0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.

Question 2 of 5 Consider the polynomials given below. P(x) = 11x5 + 9x4 – 4x3 – 7x2 + 5 Q(x) = (2x2 + 1)(4x2– 3) Determine the operation that results in the simplified expression below. 11x5 + x4 – 4x3 – 5x2 + 8 PQ
Q-P
P+Q
P-Q​

Answers

Answer: p-q

Step-by-step explanation:

Answer: P-Q is correct

Step-by-step explanation:

A wheel whose radius is 50 centimeters completes 6 radians in 1 seconds. What is the linear speed of a point on the rim of the wheel? Convert your answer to meters per second (m/s).

Answers

Answer:

3m/seconds

Step-by-step explanation:

In this problem we are required to solve for linear speed of the rotating wheel

The linear speed =angular speed x raduis

Given data

Radius r= 50cm

Converting from cm to m

50/100= 0.5m

Angular velocity w= 6rad/s

V=wr

V= 6*0.5m

V=3m/s

The linear speed is 3m/seconds

Answer:

get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.

jifejrknt ertjerjktner tjertkre terjtklremt rejtlermter terjtlermterl tretkeml

whats he approximete value of the square root of 8

Answers

Answer:

the approximate value of the square root of 8 is 2.828

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) is the product of 2x - 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your
answer.

Answers

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

What is the area of this circle?
2cm
Area = [?] cm?
Round your answer to 2 decimal places

Answers

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4

Answers

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

letting y = f(x) , rearrange making y the subject

Given

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4 ← in functional notation

Need help with this question!!!
Pls explain!!!

3=-(4x+7)+3x

Answers

Answer:

x=-10

Step-by-step explanation:

3=-(4x+7)+3x

move all terms to the left:

3-(-(4x+7)+3x)=0

calculate terms in parentheses: -(-(4x+7)+3x), so:

-(4x+7)+3x

add all the numbers together, and all the variables

3x-(4x+7)

get rid of parentheses

3x-4x-7

add all the numbers together, and all the variables

-1x-7

Back to the equation:

-(-1x-7)

get rid of parentheses

1x+7+3=0

add all the numbers together, and all the variables

x+10=0

move all terms containing x to the left, all other terms to the right

x=-10

100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.

Answers

Answer: x=6.9

Step-by-step explanation:

In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.

65.37= 8.3x + 8.1                [subtract both sides by 8.1]

57.27=8.3x                          [divide both sides by 8.3]

x=6.9

Now, we know x=6.9.

Answer:

6.9

Step-by-step explanation:

(2,-4) and (6,2).
Find the mid point

Answers

Answer:

The answer is

( 4 , - 1)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-4) and (6,2)

The midpoint is

[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]

We have the final answer as

( 4 , - 1)

Hope this helps you

Answer:

The mid point must be (4,-1)

Step-by-step explanation:

mid point= [(X1+X2)/2 , (Y1+Y2)/2]

= [ (2+6)/2 , (-4+2)/2]

= [ 8/4 , -2/2]

= (4, -1)

Find the area of a triangle with a 21 cm base and 4 cm height

Answers

Answer:

42 cm^2

Step-by-step explanation:

Base = 21 cm

Height = 4 cm

Area = [tex]\frac{base\times height}{2}[/tex]

Substitute values into the given equation

[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]

2(4m + 1) = 4(3 + 2m) what os the value of m in the equation below?​

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]2(4m + 1) = 4(3 + 2m)\\[/tex]

Expand:

[tex]2\times4m+2\times1=4\times3+4\times2m[/tex]

[tex]8m+2=12+8m[/tex]

Subtract 2 from both sides:

[tex]8m+2-2=12+8m-2[/tex]

[tex]8m=8m+10[/tex]

Subtract 8m from both sides:

[tex]8m-8m=8m+10-8m[/tex]

[tex]0=10[/tex]

Since both sides are not equal, there is no solution, because the value of m will not affect this end result of [tex]0=10[/tex] which is false.

Answer:

any or all real number, meaning anything works, the equations are equal!

Step-by-step explanation:

2(4m + 1) = 4(3 + 2m)

8m+2=12+8m

8m=10+8m

0=10

this means that m can be any real number

hope this helped!

Solve for k.
12/k = 3

Answers

Answer:

k=3/12

k=.25

Step-by-step explanation:

we need to get k by itself

because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12

This eliminates 12 and leaves us with k=3/12

It is 4 the answer is 4

When dividing two numbers with the same base

Answers

Answer:

you subtract the exponents

Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.

Answers

Answer:

10

Step-by-step explanation:

This is the answer because:

1) First, insert all the numbers into the expression

Expression: I -2(2) + -3(2) I

2) Next, do -2 x 2 and -3 x 2

-2 x 2 = -4

-3 x 2 = -6

3) Then, do -4 + -6

-4 + -6 = -10

4) Finally, the absolute value of -10 is 10

Therefore the answer is 10

Hope this helps!

Ms.Samuel has taken a survey of college students and found that 1 out of 7 students are liberal arts majors. If a college has 12,000 students, what is the best estimate of the number of students who are liberal arts majors

Answers

Answer:

1714 students

Step-by-step explanation:

If  1 out of 7 students are liberal arts majors based on Ms. samuel survey, the  estimate of the number of students who are liberal arts majors if the total number of student in the college s 12,000 can be gotten using the equality expression.

7 students = 1 liberal art major student

12,000 = x liberal art major students

cross multiply

7*x = 12000*1

7x = 12000

divide both sides by 7

7x/7 = 12000/7

x = 1714.29

x≈ 1714

Hence the best estimate for the number of students who are liberal arts majors is 1714 students.

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