Max earned $8 for each hour of work he completed. His mom put $120 in his savings account at the end of the summer. By the end of the summer, Max had $400 in his savings account. Write an equation to determine the number of hours Max worked over the summer.

Answers

Answer 1

Answer:

8x +120= 400

Step-by-step explanation:

Let the number of hours Max worked over the summer be x.

Assuming that he had $0 in his bank at the start of summer,

Total savings= 8(number of hours) +120

400= 8x +120

8x +120= 400

To find the value of x, first bring all the constants to one side of the equation.

8x= 400 -120

Simplify:

8x= 280

Divide both sides by 8:

x= 280 ÷8

x= 35

∴ Max worked for 35 hours over the summer.


Related Questions

what is 5cd when c = 3 and d = 4​

Answers

5cd c=3 d=4. 5(3)(4)= 60

[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]

-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.

Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625

Answers

Answer:

x = 7 e y = -24

Step-by-step explanation:

The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

What is an equation of a circle?

A circle can be characterized by its centre's location and its radius's length.

Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)²+(y-k)²=r²

The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.

Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.

Therefore, the radius of the circle will be,

Radius = √[(7-0)² + (-24 - 0)²]

           = √(49 + 576)

           = √(625)

           = 25

Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,

(x - h)² + (y - k)² = r²

[x - 7]² + [y - (-24)]² = (25)²

(x - 7)² + (y + 24)² = 625

Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

Learn more about the Equation of a circle here:

https://brainly.com/question/10165274

#SPJ5

Please help me, asap

Answers

Answer:

10

Step-by-step explanation:

(10*2) ÷ (1+1)

Parentheses first

20 ÷2

Then divide

10

Answer:

The answer to the equation is 10.

Step-by-step explanation:

Use PEMDAS/Order of operations.

Parentheses go first.

(10*2) divided by (1+1)

remove the parentheses after working on the equation in them

20 divided by 2

20/2=10

the answer is 10

If you have any questions tell me them in the comments, I will come answer them. Have a good day.

30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3

Answers

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Answer:

916.11 ft³

Step-by-step explanation:

X
( = [?]
DK
x Х
А AK
140°
B
HC
Angles are not drawn to scale

Answers

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are a pair of angles that add up to 180 degrees

Since ABD and DBC are supplementary, you can make the equation:

180=140+x

Simplify and you get x=40

When the sum of the measures of two angles is 180°, such angles are called supplementary angles.

[tex]\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]

[tex]\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree[/tex]

[tex]\bf \large \implies \: \: x \: = \: 40 \degree[/tex]

Explain how to combine the terms 5x an 3x

Answers

Answer:

below

Step-by-step explanation:

In short, we will add both coefficients together to combine like terms.

3x + 5x → x(3 + 5) → 8x

If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.

Best of Luck!

You add 5x+3x and get 8x

What is the solution of x + 1/5 (x - 1) = 1?

Answers

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?

Answers

Answer: x = 1 hour and 33 minutes

Step-by-step explanation:

Let x = time (hours) it takes typing together

then

x(1/2 + 1/7) = 1

 multiplying both sides by 14:

x(7 + 2) = 14

x(9) = 14

x = 14/9

x = 1.56 hours

or

x = 1 hour and 33 minutes

Hope tjis help you!:)

Answer: 14/9 hr

Step-by-step explanation:

If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.

Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [

Answers

7(5 + t) - 4(t + 4) =

= 35 + 7t - 4t - 16 =

= 7t - 4t + 35 - 16 = 3t + 19

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe its negative nonlinear association

Step-by-step explanation:

The line is going down so its definitely negative

And the line is not straight so its not linear

Therefore, its negative nonlinear association

The volume of a rectangular prism with a cone shaped hole in it is approximately 163.22cm³ (as shown below).
✏️ What is the height of the cone?

Answers

Answer:

Height of the cone = 5 cm

Step-by-step explanation:

Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone

Volume of the rectangular prism = Length × Width × Height

                                                       = 5 × 5 × 7

                                                       = 175 cm³

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here, r = Radius of the cone

h = Height of the cone

Volume of the cone = [tex]\frac{1}{3}\pi (\frac{3}{2})^{2}(h)[/tex]

                                 = 0.75πh cm³

Volume of the rectangular prism with a hole = 163.22 cm³

175 - 0.75πh = 163.22

0.75πh = 175 - 163.22

0.75πh = 11.78

h = 5 cm

I need help I don't understand this.

Answers

9514 1404 393

Answer:

  ∠4 = 108°

Step-by-step explanation:

Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.

  ∠4 = 180° -∠2 = 180° -72°

  ∠4 = 108°

40) what is the area of a rectangular porch measuring 8 ft x 12/f

45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,


please make sure to answer both questions ​

Answers

40. 8 times 12. = 96 ft

3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.

To the nearest year, when will the two accounts have the same balance?

Answers

9514 1404 393

Answer:

  after 89 years

Step-by-step explanation:

For principal p, interest rate r, and number of years t, the two account balances are ...

  a = p·e^(rt) . . . . continuous compounding

  a = p(1+r)^t . . . . annual compounding

Using the given values, we have

  3000·e^(0.07t) . . . . . compounded continuously

  20000·1.05^t . . . . . . compounded annually

We want to find t so these are equal.

  3000·e^(0.07t) = 20000·1.05^t

  0.15e^(0.07t) = 1.05^t . . . . divide by 20,000

  ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms

  ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t

  t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t

  t ≈ 89.4 ≈ 89

The two accounts will have the same balance after 89 years.

A circle has a circumference of 1{,}133.541,133.541, comma, 133, point, 54 units.
What is the diameter of the circle?

Answers

Answer:  Radius is 21.2537 units, to 6 sig figs

Step-by-step explanation:  

I'll assume the circumference is simply 133.541 units^2.  Circumference (C) is C = 2*pi*R, where R is the radius.  Thus, R = C/(2*pi),

 R = (133.541/2*(3.14159) to 6 sig figs

 R = 21.2537 units

What am i supposed to type here tho, just look at the photo pls

Answers

slope is just "how much up or down" for one step to the right.

its clearly negative here

only -3 seems to be remotely plausible looking at the graph in your screenshot

Answer:

The slope is [tex]-3[/tex]

Step-by-step explanation:

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find the slope of a line, choose two points that it clearly passes through.

In the given graph, the line clearly passes through points (2, 2) and (0, 8).

Let:

[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]

Substitute into the slope formula:

[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]

Therefore, the slope of the line is -3.

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f

Answers

Answer:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

Step-by-step explanation:

The question is not properly formatted (see attachment for the frequency table and the options)

Required

The conditional relative frequency table by column

We have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12} & {28} & {40} & {Not\ Employed} & {38} & {72} & {110}& {Total} & {50} & {100} & {150} \ \end{array}[/tex]

To get the conditional frequency by column, we simply divide each cell by the corresponding total value (on the last row)

So, we have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12/50} & {28/100} & {40/150} & {Not\ Employed} & {38/50} & {72/100} & {110/150}& {Total} & {50/50} & {100/100} & {150/150} \ \end{array}[/tex]

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

what is the value of x in a decagon

Answers

Answer:

x = 54

y = 144

Step-by-step explanation:

y = (10-2)×180/10 = 144

x = 180-90-(180-144) = 54

Answered by GAUTHMATH

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which ratio is not equivalent to the others?
A. 1:3
B. 36
C. 7 to 14
D. 816

Answers

Answer:

a. 1:3

Step-by-step explanation:

theres a pattern of x^2 but 1:3 is 1x3

HELP!!!!!! so many points for this one!!!!!! x^2+y^2+4x-2y=-1
The equation of a circle in the xy-plane is shown above. What is the radius of the circle

A.2
B.3
C.4
D.9

Answers

Answer:

A. 2

Step-by-step explanation:

Given circle:

x² + y² + 4x - 2y = -1

Convert the equation into the standard form of (x - k)² + (y - h)² = r²:

x² + 4x + 4 + y² - 2y + 1 = -1 + 4 + 1(x + 2)² + (y - 1)² = 2²

As per above:

r = 2

Correct choice is A

A.2

Answer:

Solution given:

equation of a circle is:

x²+y²+4x-2y=-1

x²+y²+4x-2y+1=0

Comparing above equation with

ax²+by²+2gx+2fy+c=0

we get

a=1

b=1

g=2

f=-1

c=1

now

radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]

substituting value

r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]

therefore radius of a circle is 2 units

$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?

Answers

Answer:

the answer is 100:60:40 hope it helps

please
[tex] \sin(120) \\ \tan( \frac{3\pi}{4} ) [/tex]
help me I need help​

Answers

Answer:

[tex] \sin(120) \\ = \sin(90 + 30) \\ = \cos(30) \\ = \frac{ \sqrt{3} }{2} \\ \\ \tan( \frac{3\pi}{4} ) \\ = \tan(135) \\ = \tan(90 + 45) \\ = - \cot(45) \\ = - 1[/tex]

[tex]\\ \rm\longmapsto sin120[/tex]

[tex]\\ \rm\longmapsto sin(90+30)[/tex]

[tex]\\ \rm\longmapsto cos30[/tex]

[tex]\\ \rm\longmapsto \dfrac{\sqrt{3}}{2}[/tex]

Now

[tex]\\ \rm\longmapsto tan\left(\dfrac{2\pi}{4}\right)[/tex]

[tex]\\ \rm\longmapsto tan135[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

I’ve been stuck on this for 3 days today is the last day please help me guys

Answers

y = x^2 - 2x - 3

Factored Form: y = (x - 3)(x + 1)

X-Intercepts: (3, 0) and (-1, 0)

Axis of Symmetry: x = 1

Vertex: (1, -4)

Domain: All Real Numbers (or negative infinity to infinity)

Range: y > -4

Hope this helps!

[tex]\frac{1}{4}X - 1 = 13[/tex]

Answers

Answer:

x =56

Step-by-step explanation:

1/4 x - 1 =13

Add 1 to each side

1/4x - 1+1 = 13+1

1/4 x = 14

Multiply each side by 4

1/4x * 4 = 14*4

x =56

Answer:

x = 56

Step-by-step explanation:

1/4x - 1 = 13

Add 1 to both sides

1/4x = 14

Isolate the variable

x = 14/0.25

x = 56

please help (picture) 25 points

Answers

Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

Round each to the nearest cent.
$879.190
and
$532.626

Answers

Answer:

$879.190 = $879.19

$532.626 = $532.627

Step-by-step explanation:

You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.

This is my question. These are the options below, does anyone know the simplest form?

Answers

Answer:

B. [tex]2ab^5\sqrt{2ab}[/tex]

Step-by-step explanation:

To simplify, first, simplify the integers. The integers include the number 8. To simplify 8, find out what is the largest perfect square that is a factor of 8. In this case, that is 4. Then, divide 8 by that number. This equals [tex]\sqrt{4} *\sqrt{2}[/tex]. Since the square root of 4 is 2, it can be taken out of under the radical. So, the new expression is [tex]2\sqrt{2a^3b^11}[/tex].

Next, simplify the exponents. To simplify exponents under a radical divide the exponent by the root. For example, 3 divided by 2 is 1 with a remainder of 1. So, take the answer out from under the radical and then leave the remainder in the radical. This looks like[tex]\sqrt{a^3} = a\sqrt{a}[/tex]. Then, do this for the other variable, [tex]\sqrt{b^11} = b^5\sqrt{b}[/tex]. Finally, put everything for the final answer, [tex]2ab^5\sqrt{2ab}[/tex].

please help me its hard

Answers

Answer:

1

Step-by-step explanation:

16-9=5t+2t

7=7t

1=t

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

=> 16 - 2t - 9 = 5t

=> 16 - 9 = 5t + 2t

=> 7 = 7t

=> 7/7 = t

=> 1/1 = t

=> 1 = t

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!

Answers

Answer:

so the simplest way to find the volume of water is by dividing into different....objects

so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5

now calculate the volume of each box and add them up

v = length x width x height

box 1 = 12 x 14.5 x 5 = 870 ft^3

box 2 = 7x4x5 = 140

now smash them up together = 870+140=1010ft^3

hope that answers your question

Find the surface area of the
rectangular prism.
2 cm
6 cm
3 cm
[?] sq cm
Enter

Answers

Answer:

72 sq cm

Step-by-step explanation:

Surface area of the cuboid is 2*(lb+bh+lh)=2*(12+18+6)=2*36=72

Answer:

36 sq cm

Step-by-step explanation:

This prism is formed by rectangles, and to find the area of a rectangle you have to multiply its sides. So, to find the surface area, you find the area of each rectangle and after add it all:

3×2 = 6 sq cm, and your have two of this rectangles

6×2 = 12 sq cm, and you also have two of this

3×6 = 18 sq cm, and also have two of this

6 + 12 + 18 = 36 sq cm

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The sum of the measures of two of the angles formed by the intersection of two lines is 114 degrees. Find the measures of all angles. (There are 4 boxes to fill out for the answer) Select the correct answer.The manager at a car dealership is tracking the selling prices of two different used car models. When the tracking began, the selling price ofmodel A was less than $8,000, and the selling price of model B was at most $10,000. The manager has determined that the price of model A isdecreasing at a rate of 12% each year, and the price of model B is decreasing at a rate of 15% each year.Which system of inequalities can be used to determine after how many years, t, that the selling price, y, will be the same for both car models?O A..Jy < 8,000(0.88)y < 10,000(0.85)Sy < 8,000(1.12)y < 10,000(1.15)9 < 8,000(0.88)y < 10,000(0.85)Sy < 8,000(1.12)"1y 10,000(1.15)Oc.OD The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle? You have $7,600 to deposit. Regency Bank offers 12 percent per year compounded monthly (1.0 percent per month), while King Bank offers 12 percent but will only compound annually.How much will your investment be worth in 16 years at each bank? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)Regency Bank King Bank Let f(x) = -2x + 7 and g(x) = -6x + 3. Find f.g and state its domain.-14x^2 + 36x - 18; all real numbers12x^2 - 48x + 21; all real numbers-14x^2 + 36x - 18; all real numbers except x = 712x^2 - 48x + 21; all real numbers except x = 1 A lamp is connected to a 230 V mains supply. A current of 4 A flows through the lamp for 30 seconds. write a letter to the principal alerting him about the bad infrastructures in your school and suggest a way out Ann Pablo and Dan have a total of $78 in their wallet ann has 10 more than Dan Pablo has two Times what Dan has how much do they have Tamekia reports that the market leader in the TZX mitt category has 60 percent of all sales in the market and spends $240,000 a year, or 60 percent of all advertising expenditures, to support the brand. Under the share of market/share of voice system, Great Catch should be prepared to spend at least ________ if it hopes to achieve a market share of 30 percent. Which quantity does a light year measure use the following phrases in your own sentence find out=litter with=reach across =pluck out=muster up= Having a fascist ruler with a firm grasp on allaspects of life may have appealed to people whowereO anxious to prevent another warO anxious to see order restored after a period ofunrest and disorderunwilling to give up political control to adictatorDONE 2 Select the correct answer. Which rhyme scheme is used in this excerpt from Richard Lovelace's "To Lucasta, Going to the Wars"? Tell me not, Sweet, I am unkind, That from the nunnery Of thy chaste breast, and quiet mind To war and arms I fly. A. abcd B. aabb C. abab D. abbb For taking bath, water at 40C is required. Calculate the mass of cold water at 15C which is to be added in 60 Kg water at 100C for bathing purpose. 1 point a) 51Kg b) 47Kg c) 44 Kg d) 39Kg Apply the distributive property to factor out 5x.(5x x2) + (5x 3x) (5x 7) = What is 75% as a fraction What are the possible phenotypes of the children if the mother has Type O blood and the father has type AB blood A water tank contains 75 liters. Water is leaving the tank at an increasing rate given by f(t)=2+0.4t^2 liters per minute.A) How much water leaves the tank in 10 min?B) How long will it take for the tank to be empty?C) What is the average rate of change at which the water left the tank? Find the measure of the indicated angle what does the "S" represent for the designation GMAW-S?A. Spray TransferB. Pulsed SprayC. Solid wireD. Short Circuit TransferHelp me bro