Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per hour. Michael and Landon worked a combined 14 hours and ironed 360 shirts. Graphically solve a system of equations in order to determine the number of hours Michael worked, ,x, and the number hours Landon worked, y.

I need two equations in y=mx+b form pls

Answers

Answer 1

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

40x+20y= 360

x+y=14

Solve for y in each equation:

40x+20y = 360  x+y = 14 20y = -40x+360  

[tex]\frac{-20y}{20}[/tex] =[tex]\frac{-40x+360}{20}[/tex]

y = -2x+18

 


Related Questions

how do i factorize x2+14x+49

Answers

Answer:

(x + 7) (x + 7)

Step-by-step explanation:

What's the square root of x^2?

That's x

What's the square root of 49

That's 7

And what makes 14?

7 + 7 = 14

So therefore the answer is (x + 7) (x + 7)

Easy Kevin Durant is so smart!

Answer:

The middle number is 14 and the last number is 49.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 14

Multiply together to get 49

Can you think of the two numbers?

Try 7 and 7:

7+7 = 14

7*7 = 49

Fill in the blanks in

(x+_)(x+_)

with 7 and 7 to get...

(x+7)(x+7)

Answer:

(x+7)(x+7)

 

0.5 (c+7)= -1.5 Please help

Answers

C should be -10
Hope this helps

what’s the equation and what is the slope?

Answers

Answer:

Slope is given by the equation y=mx+b,

Step-by-step explanation:

the equation is y=3x, the slope is 3

Can Someone plz help me with this question?
I will mark brainliest

Answers

The answer to your question is

No

Question is below (wasn't sure about the answer)

Answers

Answer: Choice A)

[tex]H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]

=================================================

Work Shown:

[tex]SA = 2(LW + LH + HW)\\\\2(LW + LH + HW) = SA\\\\LW + LH + HW = \frac{SA}{2}\\\\LH + HW = \frac{SA}{2} - LW\\\\H(L + W) = \frac{SA}{2} - LW\\\\H = \frac{\frac{SA}{2} - LW}{(L + W)}\\\\H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]

This is not the only way to solve for H.

The cost to rent a paddle boat at the county park is $8 per hour plus a nonrefundable deposit of $10. The cost can be modeled by the function f(h) = 8h + 10, where
h represents the number of hours the boat is rented. Describe the graph of g(h) as it relates
to f(h) if the nonrefundable deposit increases to $15.

Answers

When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively

Linear Equation

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Linear equations are generally represented in the form

y = mx + c

c = y-interceptm = slope

The y-intercept is the point at which the graph touches the y - axis

In the question, we are given an equation f(h) = 8h + 10

The slope and y - intercept here are 8 and 10 respectively.

However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.

Learn more on linear equation here;

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Please help me with this math problem ASAP!!

Answers

Let's list what we know.

We know 6 + d is the same as 21

We can use this.

6+d=21

Subtract 6 from both sides

d=15

So d=15

Answer:

21-6=15

Step-by-step explanation:

That helps weigh it down

Please help!!! I’ll mark brainlist and 5 stars!!

Answers

The answer to 4 is C. Question 5 however I’m not sure of because which angle do they mean by angle D? If the two angles are co interiors (D is angle on left) then they’re supplementary. If they are corresponding (D is angle on right) then they’re congruent.

Solve: 3(-4.- 4x) > 6​

Answers

this is the answer hope this helps !!

In a school election, Jared received 76 votes, which was 40% of the total number of votes cast. What was the total number of votes cast?

Answers

76 times 0.40 is = 30.4

I just need to no the answer asapp

Answers

Answer:

step 2

Step-by-step explanation:

Mark didnt do 5×5

What is the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8) ?

Answers

6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2

Jasmine bought 3 slices of cheese pizza and 2 slices of pepperoni pizza for a total cost of $11.75. Keegan bought 2 slices of cheese pizza and 1 slice of pepperoni pizza for a total cost of $7.00.

Part A
Write a system of equations to represent the scenario, using x for cheese pizza and y for perpperoni pizza.

Answers

Answer:

Step-by-step explanation:

11.75 is x and 7.00 is y so the total should be $18.75 so there you go your answer

Answer:

erer

Step-by-step explanation:

rerrrrrr

HELP PLS LOL , USE THE TABLE TO WORK OUT THE VALUES OF A , B , C & D

Answers

The answers are:
A=4
B=3
C=12
D=19

What is the length of NM?

Answers

Answer:

See below :)

Step-by-step explanation:

We know that these traingles are all similar. We can see the angle NMK is 60 degrees so we also know that JNK is 60 degrees. Now we know that all of the triangles are 30-60-90 triangles. JN is 3, so from the "leg opposite to 30 degree theorem", we know that NK is two times JN which is 6. Then from the same theorem, we know that NM is NK divided by the square root of 3

[tex]\frac{6}{\sqrt3}[/tex]

We can't have fractions that have irrational numbers in the denominator of a fraction so we multiply it by root3 over root3

[tex]\frac{6}{\sqrt3}[/tex] * [tex]\frac{\sqrt3}{\sqrt3}[/tex]

This then makes it 6 times root 3 over 3

[tex]\frac{6\sqrt3}{3}[/tex]

We then get [tex]2\sqrt{3}[/tex]

If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times

Answers

Answer:

3, by 100 times

Step-by-step explanation:

a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.

Last question! Any explanation is appreciated, sorry for bad quality

Answers

Answer:

1/2

Step-by-step explanation:

When you have two points you need to use the slope formula:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_1}[/tex]

x1 and y1 is the first point and x2 and y2 is the second point, remember that the first number is X and the other is Y so...

[tex]m=\frac{5-4}{3-1} \\m=\frac{1}{2}[/tex]

1/2 is the slope of the points

Given that x is a nonnegative number, a student conjectured that x + 3 < x2.
Which value of x is a counterexample to the student's conjecture?
A: x= -1/3
B: x= -3
C: x= 2
D: 3

Answers

Answer:

C (x = 2)

Step-by-step explanation:

Since x is a non-negative number, A and B are eliminated.

This leaves C and D.

C: x = 2,

2 + 3 < 2^2

5 < 4 is false.

So C would be a counterexample.

Hope this helps!

The value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that x is a non-negative number, a student conjectured that x + 3 < x².

Since x is a non-negative number, A and B are eliminated.

This leaves C and D at the value of x = 2,

2 + 3 < 2²

5 < 4 is false.

Therefore, the value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.

To know more about an expression follow

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X2+ Y2 - 6x + 8y - 7 = 0

Answers

Answer:

X 2 + Y 2 − 6 x + 8 y = 7

Step-by-step explanation:

the ratio of 82 and 73​

Answers

Answer: 82:73

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?

I will mark brainliest. I need to write a proof for given: <1=<5 prove n||p I completely forgot how to do this and have attached a picture

Answers

Answer:

<1 = <5 ( because it is a corresponding angle and corresponding angles are always equal )

hope this answer will help you

have a great time

Answer:

The corresponding angles

Step-by-step explanation:

A proof for angle1=angle5

<1=<5

this rule is called

The corresponding angles

when 2 lines are crossed by another line this line is called transversal

when 2 lines are both parallel corresponding angles are congruent.

If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Meaning If <1=<5 then, n||p

I put out a pdf to help you out

Brainliest please.

find the value of -24/35÷-8/15​

Answers

Answer:

9/7

Step-by-step explanation:

-24/35 ÷ -8/15

=-24/35 × -15/8

=9/7

Answer:

9/7

Step-by-step explanation:

when dividing with a fraction, the -8/15 reciprocates to 15/-8. Then, -8 cancels out -24 remaining with 3 since they are both negative while 15 and 35 have a common of 5 giving them a remainder of 3 and 7 respectively. you then multiply what you have which is 3/7 * 3/1 giving you 9/7.

What is the solution set for 4x - (x + 1) < 5x - 7 ?
A. x < -6
B. x < -8
C. x > 4
D. x > 3​

Answers

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

help me pls pls pla pls

Answers

Answer:

its a and d

Step-by-step explanation:

70+4+.05+.002

What is the equation of the line in slope-intercept form.

Answers

Equation of the line: y=-x-10

I need help with this question please and thank you

Answers

Answer:

13 cups

Step-by-step explanation:

1.5 pint=  3 cups

8 fluid ounces = 1 cup

4 bottles of milk with 1.5 pint each= 3x 4= 12 cup

8 fluid ounces of strawberry syrup= 1 cup

12+1=13 cups

please help if i get this wrong one more time i will fail and plese help

Answers

Using proportions, the amount of acres that each children will be is given by:

9 and 4/5 acres.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem 49 acres will be split evenly across 5 children, hence the amount that each will get is:

A = 49/5.

The quotient of 49 and 5 is of 9 with a remainder of 4, hence as a mixed number, the amount is:

9 and 4/5 acres.

More can be learned about proportions at https://brainly.com/question/24372153

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A manufacturing plant makes belts for appliances. On Wednesday, they produced belts with diameters 1 3/2 in., 7/16 in., 3/4 in., 5/8 in., and 1 5/16 in. Drag the fractions to order them from least to greatest.

Answers

Answer:

[tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.

Step-by-step explanation:

Diameters of the belt produced are given in fractions which can be converted to decimals to know their values.

Thus,

1 3/2 in. = [tex]\frac{5}{2}[/tex] in. = 2.5 in.

7/16 in. = 0.4375 in.

3/4 in. = 0.75 in.

5/8 in. = 0.625 in.

1 5/16 in. = [tex]\frac{21}{16}[/tex] in. = 1.3125 in.

Arranging the vales from least to greatest, we have;

0.4375 in., 0.625 in.,0.75 in., 1.3125 in., 2.5 in.  = [tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.

Lenny's goal is to run a total of 18 miles in 4 days the table shows his log for the number of miles he ran on Monday ,Tuesday,Wednesday .how many miles must Lenny run on Thursday to reach his goal?

Answers

Answer:

12

Step-by-step explanation:

The sum of two consecutive odd integers is 20 less than four times the smaller of the two integers. Which the following equations could be used to find the smaller integer,n?
what is the equation to solve it
actually answer

Answers

Answer:

consecutive = x+x+2

x+x+2 = 4x-20

2x+2=4x-20

2=2x-20

22=2x

x=11

Numbers are 11,13.

Hope this helps plz hit the crown :D

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