Professor Malone is grading papers in the teachers' lounge. She has already finished grading 20 assignments, and is grading 5 more assignments per hour. Her teaching assistant just came in to help her. He can grade at a rate of 7 assignments every hour. At some point, they will be finished and will have graded the same number of papers. How many assignments will they each have graded?
Write a system of equations, graph them, and type the solution.

Answers

Answer 1

Answer:

55

Step-by-step explanation:

bedcause if you add 50 and 5 then it makes yes

Answer 2

The number of papers checked by both becomes equal in 10 hours.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.

Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,

y = 5x + 20        ...1

y = 7x                ...2

At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have

7x = 5x + 20

7x - 5x = 20

2x = 20

x = 20 / 2

x = 10

The number of papers checked by both becomes equal in 10 hours.

More about the solution of the equation link is given below.

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Related Questions

A local hamburger shop sold a combined total of 509 hamburgers and cheeseburgers on Monday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday.
How many hamburgers were sold on Monday?

Answers

Answer:

I believe 225 hamburgers were sold on Monday.

Step-by-step explanation:

i will mark brainliest please help

Answers

Answer:

The answer would be two and four

Step-by-step explanation:

Answer:

II and IV

Step-by-step explanation:

H and S only would appear the same after 180° rotation.

what's X+ 3 = x^ 3- 7x + 5​

Answers

Answer:

2.693995, or −2.945995 or 0.252

Step-by-step explanation:

simplify: (3x^3+2x-3)-(4x^3-x^2+x

Answers

Answer:

[tex]-x^{3}+x^{2} +x-3[/tex]

Step-by-step explanation:

Remove Parentheses

Subtract  3x^3-4x^3

Leave x^2

Subtract 2x-x

Leave the 3

:)Hope this Helped You:)

Write an equation for the line in slope- intercept form
points are:
-2,-2
-1,1
0,4

Answers

Answer:

y=3x+4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b

m = the slope

slope is rise over run or (y2-y1)/(x2-x1). We need to choose which y value is y2 and the corresponding x value is the x2. If -2 is y2, then:

x2 = -2

y1 = 1

x1 = -1

then plug in the values.

(-2-1)/(-2-(-1))

-3/-1 = 3

m =3

then plug in values for the first equation. you can use any point on the line.

y = 3x+b

4 = 3*0 +b

4=0+b

b = 4

then write it with out x or y

y = 3x+4

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. Write an expression that shows the amount of money that will be in the account x weeks after Mason opens it. 165.85x + 20.5 165.85 – 20.5x 165.85 + 20.5 + x 165.85 + 20.5x

Answers

Answer: First multiply 10 by 20.5 because x represents the number of weeks.  You get 205.  Next add 165.85 to that and you get 370.85 as your final answer.  

Step-by-step explanation:

Answer:

165.85 + 20.5x

or D

Kale is hiking 2,345 feet above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level. What is the vertical distance between Kale and the mountain peak?
938 feet
942 feet
1,142 feet
5,628 feet

Answers

Answer:

Step-by-step explanation:

If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.

The vertical distance between Kale and the mountain peak is  ft

How to determine the vertical distance?

The given parameters are:

Hike Distance = 2345 ft

Peak = 3283 ft

Let the vertical distance be x.

So, we have:

x + 2345 = 3283

Subtract 2345 from both sides

x = 938

Hence, the vertical distance between Kale and the mountain peak is  ft

Read more about difference at:

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PLEASe HELP I DONT WANT TO WASTE MY POINTS

Answers

Answer:

4 or 5

Step-by-step explanation:

find the number please

Answers

Answer:

1

Step-by-step explanation:

The reciprocal of 1 equals 1

1/4×4=1

1-1=0

Answer:

The answer is 8

Step-by-step explanation:

Multiply, add and subtract the top

Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua and they ironed 345 shirts between them. Determine the number of hours Luke worked and the number of hours Joshua worked.

Answers

It’s 48 because I worked it out on paper and got it right

Answer:

48

Step-by-step explanation:

I solved the problem step by step on paper and got it right

Anyone else Feel there not enough :(

Answers

Answer:

bro you good go talk to someone if you need mental health

Step-by-step explanation:

four time a number is no more than one hundred and eight

Answers

Answer:

</ is what I use for equal to or less than

4x </ 108 for the inequality

x </ 27

Step-by-step explanation:

Is that what you needed?

Equation:

4x=108

'x' being the number mentioned

Solved Equation: (isolate x)

4x/4=108/4

x=27

Plzz mark me brainliest, hope this helped.

whats the domain {[-1.5,3.5),(2.5,-1.5),(3,-1),(-1.5,-3.5)}​

Answers

Answer:

-1.5<x<3

_ _

idk how to type less than or equal to signs but thats what I'm trying to say

Each box holds 6 black markers and 4 red markers. Derek has 0 boxes of markers. Write a number sentence that shows how many markers Derek has. Explain how you found your answer.

Answers

Answer:

0 x 1 x 10 = 0

Step-by-step explanation:

0 x 1 x 10 = 0

This is problem that has to do with multiplication with 0.

Since Derek has 0 boxes of markers and each box contains 10 markers, 6 black and 4 red, think of it as Derek having 0 groups of a box of markers. This means Derek has 0 boxes where each box contains 10markers.

0 boxes means Derek has no markers.

what is 1/4 of 40. write and solve equation

Answers

Answer:

10

Step-by-step explanation:

To find 1/4 of 40, is the same as dividing 40 into four parts (each of the four parts become 1/4 of the whole). 40/4=10.

50 points!!!
1.A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What equation represents the perimeter of the triangle if the second side is length s?
(2s + 65) + (s) + (s + 10) = 165
(2s - 65) + (s - 10) = 165
(2s - 65) + (s) + (s - 10) = 165
3s = 165

2. A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.

What is the length of each side of the triangle?

65 cm, 55 cm, 45 cm
55 cm, 60 cm, 50 cm
45 cm, 60 cm, 60 cm
not enough information to solve

Answers

FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.

Let a = first side

Let b = second side

Let c = third side

NOW, we can turn the words into equations:

"a triangle has a perimeter of 165 cm."

a + b + c = 165

"the first side is 65cm less than twice the second side."

a = 2b - 65

"the third side is 10cm less than the second side."

c = b - 10

Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]

If we could get this to have only one variable, we could solve it. Substitution to the rescue!

 

a + b + c = 165 (rewrote equation from above)

(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)

See how that works? Let's solve it.

2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)

4b - 75 = 165 (combined like terms)

4b = 240 (added 75 to both sides)

b = 60 (divided both sides by 4)

We found the second side! We can find the first and third sides using those equations from above:

a = 2b - 65

a = 2*60 - 65

a = 120 - 65

a = 55

c = b - 10

c = 60 - 10

c = 50

All done.

PLEASE MARK ME AS BRAINLIEST

Step One - Define the Unknown Variable

First we need to define our unknown variable. For this case, I am going to use the letter 's' for the second side of the triangle (no actually because the question told you to). The reason I am using the second side as the unknown is because the second side is independent. The first and third sides' lengths depend on the length of the second side.

Step Two - Write an Equation

We need to use what we know to write the equation. First, we know that the perimeter of a polygon is the sum of the lengths of all the sides. The first side is 65 less than two times 's'. This would be 2s-65. The second side is just s. The third side is 10 less than 's'. So it would be s-10. The perimeter is all of the sides added up, so the expression for all the sides added up is                    (2s-65)+(s)+(s-10). The first, second, and third side added up is 165. So the equation for 1. is (2s-65)+(s)+(s-10) = 165.

Step Three - Solve the Equation

To solve the equation, you need to isolate the variable, which is 's'.

First, let's simplify the equation.

(2s-65)+(s)+(s-10) = 165.

4s-75 = 165.

Now we need to remove the 75. To get rid of the 75, you must add 75. But since you are adding 75 to one side of the equation, you must add 75 to the other side of the equation to make it equal.

4s-75+75 = 165+75

4s = 240

Now we need to remove the 4. To get rid of the 4, you have to divide each side by 4.

4s÷4 = 240÷4

s = 60

The length of the second side is 60 cm.

Step Four - Find the Lengths of all Sides

Now we know the length of the second side, we can find the length of the other sides.

The first side is 65 less than two times of 60.

Two times of 60 is 60×2 or 120.

65 less than 120 is 120-65 or 55.

The first side is 55 cm.

The third side is 10 less than 60.

10 less than 60 is 60-10 or 50.

The third side is 50.

So the lengths of the three sides are 55, 60, and 50.

Step Five - Check Your Answer

Now let's see if the three sides added up equals to 165.

Well, 55+60+50 does equal 165, so we know this is right.

The equation that represents the perimeter of the triangle is                      (2s + 65) + (s) + (s + 10) = 165. The length of each side of the triangle is 55, 60, and 50.

plssssssss helppppp !!!!!!!!!!!!!!!

Answers

Answer:

M = 6 inches

Step-by-step explanation:

M and the line that straight up says "6 in" are the same size. besides, this gives us very little information to go off of.

May I have brainliest please? :)

Answer : M = 7.5 Inches

Step-by-step explanation:

Its obvious.

How many different arrangements of letters can be formed if the first letter must be W or K​ (repeats of letters are​ allowed)?

Answers

Answer:

This can vary. Are we doing 4 letter words, 5 letter, etc?

Step-by-step explanation:

please help me...
Which of the following are included in the First Amendment?

a. It protected the right to keep and bear arms.
b. It protected the right of having a trial by jury.
c. It protected citizens from quartering troops in their homes.
d. It protected the freedoms of speech, religion, and the press.

Answers

Answer:

d and b

Step-by-step explanation:

Answer:

Sophia is correct choose D

Step-by-step explanation:

it was correct for me

samuel washes the supper dishes each night as a part of his chores.
it takes him 1/3 an hour to clean the dishes
if samuel has to wash the dishes 5 times a week. how many minutes does he spend washing the dishes?

Answers

He has to spend 1 hour 40 minutes washing doshes (100 minutes)

what is the measure of <x​

Answers

Answer:

x = 24°

General Formulas and Concepts:

Pre-Alg

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up equation

x + 156 = 180

Step 2: Solve for x

Subtract 156 on both sides:               x = 24

Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.​

Answers

Answer:

-2.4 · [tex]10^{5}[/tex]

Step-by-step explanation:

I need help with this question

Answers

q + s = q + 1, we know because you can substitute s for 1 according to the number line.

2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.

Answers

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

Solve for y: 4x + 2y = 6

Answers

Move all terms that don't contain y to the right side and solve.

y = 3 − 2x

Answer:

Y= 2x - 3

Step-by-step explanation:

The triangles in the picture are congruent by which method.

Answers

Answer:  D) AAS

Explanation:

Check out the diagram below. I've marked the angles that pair up which are congruent to one another. Note the order is important. The AAS rule is different from ASA. In the diagram, the green segments are not between the red and blue angles.

Note: the blue angles are congruent by the vertical angle theorem.

what is 3X^2 × 2X^3​

Answers

Answer:

Step-by-step explanation:

3x^2 * 2x^3= 6x^5

Multiply the 3 and 2 to get 6. Add the exponents.

HELP ME OUT!!!!!!!!!!

Answers

Answer: it costs 1/3 or 0.333... for one orange

X represents number of oranges

Y represents the cost

Let p=x^2+6p=x 2 +6p, equals, x, start superscript, 2, end superscript, plus, 6. Which equation is equivalent to (x^2+6)^2-21=4x^2+24(x 2 +6) 2 ?21=4x 2 +24left parenthesis, x, start superscript, 2, end superscript, plus, 6, right parenthesis, start superscript, 2, end superscript, minus, 21, equals, 4, x, start superscript, 2, end superscript, plus, 24 in terms of p ?

Answers

Answer:

Step-by-step explanation:

Given p = x²+6

We are to express (x²+6)-21 = 4x²+24 in terms of p

We need to rewrite the expression first

(x²+6)²-21 = 4x²+24

Factor out 4 from the right hand side;

(x²+6)²-21 = 4(x²+6)

Replace x²+6 with p

p²+21 = 4p

Collect like terms

p²-4p = -21

p²-4p+21= 0

Hence the required equation is p²-4p+21= 0

Answer: p^2-4p-21=0

Step-by-step explanation:

Did it on Khan :D

PLEASE HELP ME!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

First, since y is less than or equal to x+4, that shows that it must be either C or D, because both of those regions are below the line x+4.

Next, since y is more than or equal to -3/2x-1, this shows that C is the answer.

We can also check by seeing the graph when x = 0. Notice that y = 0 is in the region C, and notice that 0 satisfies the 2 inequalities, because -1≤0≤4.

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