Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor's children. The table shows the amount of money m she earns in h hours. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours.

Answers

Answer 1

Answer:

Each has to work 5 hours and earn $42

Step-by-step explanation:

Let m and h represent hours Nai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have ...

 7m +14h = 8.40(m+h)

 5.60h = 1.40m . . . . . . . . subtract 7m+8.40h

 m = 4h . . . . . . . . . . . . . . divide by 1.40

Then the total number of hours worked by either person is ...

 m + h = (4h) +h = 5h

If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Each must work 5 hours and earn $42 before they go to the movies.

__

Nai will work 4 hours mowing and 1 hour hauling.

Answer 2

Each must work 5 hours and earn $42 before they go to the movies. Mai will work 4 hours mowing and 1 hour hauling.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting.

In order for their earnings to be equal, we must have

7m +14h = 8.40(m+h)

subtract 7m+8.40h

5.60h = 1.40m

Divide by 1.40

m = 4h

Then the total number of hours worked by either person

m + h = (4h) +h = 5h

If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Hence, Each must work 5 hours and earn $42 before they go to the movies. Mai will work 4 hours mowing and 1 hour hauling.

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Related Questions

Please help quickly, it would be really appreciated.

Answers

Answer:

ASA

Step-by-step explanation:

The triangles are congruent by ASA.

HELP please guys!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

17 inches

Step-by-step explanation:

I believe this is right

2 x {6 + (12 = (3 + 1)]} – 1

Help please

Answers

Step-by-step explanation:

2×{(6+12)=(3+1)}-1

We will have to solve the ones in the bracket first.

2×{(18)=(3+1)}-1

2×{18=4}-1

So now we remove the brackets

2×18=4-1

36=3

Then we divide both sides by 3

So the final answer is 12

3(2x-4y) +14-2y=5x
solve for y. pls help this is the 3rd time asking & no silly answers! i need help pls!

Answers

Answer:

y=x/14+1

Step-by-step explanation:

3(2x-4y) +14-2y=5x

6x-12y+14-2y=5x

6x-14y+14=5x

x+14=14y

x/14+1=y

And dude I feel ur pain no one is responding to my questions :(

It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with $20 and has increased its balance by an average of $10 per week. Write an equation in slope intercept form for the Science Club. It is the end of the semester, and the clubs at school are recording their profits. The Math Club has saved $5 per week after starting out with $50 at the beginning of the semester. Write an equation in slope intercept form for the Math Club. It is the end of the semester, and the clubs at school are recording their profits. Graph both lines from question 1 and 2 on the same coordinate plane. When do the clubs have the same balance?

Answers

Answer:

Science Club- y=10x+20

Math Club- y=5x+50

They will be equal 6 weeks

Step-by-step explanation:

X equals the number of weeks that have passed. In example of the science club, they would gain $10 every week, making the equation y (total money) equal to 10 dollars a week (or 10x.)

Since we know they begin with 20 dollars, we'll simply add that to the 10 dollars a week.

To find the week when they will be equal, we have to put both equations equal to each other.

10x+20=5x+50

Now we solve for x, or the number of weeks when the equations (and values) will be equal.

10x+20=5x+50

5x+20=50

5x=30

x=6

So... 6 weeks :)

You can use desmos to graph if you need it.

Use the substitution method to solve the system of equations.
y=-8x HELP
4x - y = 3
A. (6. - 4
ОВ. (3. - 4
C.
D. (1-2)

Answers

Answer:

D. (1/4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x - (-8x) = 3Simplify:                               4x + 8x = 3Combine like terms:           12x = 3Isolate x:                              x = 3/12Simplify:                               x = 1/4

Step 3: Solve for y

Define equation:                    y = -8xSubstitute in x:                       y = -8(1/4)Multiply:                                  y = -2

Which postulates can be used to prove congruence? All that apply?

Answers

Answer:

SSS, SAS, ASA, AAS, (HL)

Step-by-step explanation:

HL is also one, but that isn't an option so ye

what is the estimate of the product 11/12 x 4/5​

Answers

Answer:

.7333333

Step-by-step explanation:

Which breakfast would be best on the morning of a test?
O wafle with syrup and strawberries
O cereal with milk and a sweet roll
O yogurt, banana, and wheat toast
omelet, an orange, and a doughnut

Answers

The best breakfast that would be best on the morning of a test is cereal with milk and sweet roll. Hence, option B is correct

What is Breakfast?

Breakfast is frequently referred to as "the most important meal of the day," and with good cause. Breakfast, as the name implies, breaks the overnight fast. Along with providing other crucial nutrients needed for optimal health, it replaces your glucose supply to increase your energy and alertness.

There is medical evidence that eating breakfast is beneficial. In addition to helping you control your weight better, reducing your risk of type 2 diabetes and heart disease in the long run, it also boosts your energy levels and concentration capacity in the near term.

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Ethan buys a video game on sale. If the video game usually costs $49.99, and it was on sale for 30% off.​

Answers

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

To pay for a camper bill made a down payment of 3900and took out a loan for the rest. On the loan he paid monthly payments of 427.20 for 4 years

Answers

Answer:okay!!!

Step-by-step explanation:what is asking about

What is the question in this problem

I WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

You multiply the exponents when you are doing an exponent of an exponent. 8 * 8 is 64. Therefore, the answer is B.

Answer:

[tex]=w^{64}[/tex]

Step-by-step explanation:

we know that,

[tex](a^n)^m = a^{mn}[/tex]

therefore,

[tex](w^8)^8 = w^{8*8}[/tex]

         [tex]=w^{64}[/tex]

Happy to help :)

a square field is 30m long find its perimeter​

Answers

Answer:

90m

Step-by-step explanation:

long sides are 30 each and the top sides are 15 each

Area of the outer square
=30
2
+256=900+256
=1156=(34)
2

∴ Side of the outer square =34=30+2x
∴ x=2 where x is the width.

Flaws in concrete beams follow a Poisson process. Beams fabricated by process A have flaw rates of 10/meter while beams fabricated by process B have flaw rates of 5/meter. From a yard containing equal numbers of process A and process B beams one beam is selected at random and a 1-meter length of the beam is inspected. If 8 flaws are found what is the probability the inspected beam was fabricated using process A?

Answers

Answer:

P(A | Y = 8) =  0.633

Step-by-step explanation:

It is really a simple and interesting question, as it involves the Poisson distribution and probability.

First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.

It further states that, beam made by process A has = 10 flaws per meter.

Beam made by process B has = 5 flaws per meter.

Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.

We now, have to find out the probability that the inspected beam is from process A.

For this,

Let's suppose, Y is no. of flaws

So,

P (Y=8|A) = [tex]\frac{e^{-10}. 10^{8} }{8!}[/tex]

where , e = Euler's Constant = 2.71828

P (Y=8|A) = 0.11

Similarly for process B

P (Y=8|B) = [tex]\frac{e^{-5}. 5^{8} }{8!}[/tex]

P (Y=8|B) = 0.06

As, we know from the problem statement that there are equal numbers of process A and process B beams.

So, the probability of A = Probability of B = 0.5

P(A) = 0.5

P(B) = 0.5

We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.

Using the law of total probability:

P(Y=8) =  P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)

Plug in the values:

P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)

P(Y=8) = 0.088

Now, by applying Bayes Theorem, we can find the required probability:

P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)

8 flaws are found, the probability the inspected beam was fabricated using process A is :

P(A | Y = 8) = 0.11 x 0.5 / 0.088

P(A | Y = 8) =  0.633

Furthermore,

8 flaws are found, the probability the inspected beam was fabricated using process B is :

P(B | Y = 8) = 1-P(A | Y = 8)

P(B | Y = 8) = 1 - 0.633

P(B | Y = 8) = 0.367

⚠️A machine used 48% of its oil. What fraction of its oil did the machine
use?⚠️
Need answer ASAP please and thank you

Answers

Answer:

12/25

Step-by-step explanation:

48/100 simplifies to 24/50. 24/50 simplififes to 12/25.

yx = -wvu
v =

Please help asap

Answers

Answer:   v = yx/-w + u

Step-by-step explanation:

cancel -w by dividing and cancel u by dividing

Jenny bought gas for her car. Gas cost $3.45 per gallon. She bought 12.2 gallons for her car. What was the total cost of gas for Jenny's car?

Answers

42.09$ would be the correct answer, you just multiple 3.45 and 12.2 to get this answer

Answer:

42.09

Step-by-step explanation:

3.45 x 12.2 = 42.09 (checked with a calculator)

Fractions can be converted to percents. For example, 4/8 can be expressed as 50%. Write 6/8 as a percent.

Answers

Answer: 75%

Step-by-step explanation: First, you have to divide the numerator (6) by the denominator (8), which equals 0.75 in this case. Then you have to multiply the decimal (0.75) by 100. So you get the answer 75%.

PLZ HELP

I will give brainliest

Which expression is equivalent to 7(n+5)

A.35n
B.n+35
C.12n
D.7n+35

PLEASE HELP

Answers

Answer:

D. 7n+35

Step-by-step explanation:

73% of 250 Question 4: What strategy would you use to find the percent? (Hint: "per" = division "cent" = 100) Per cent f 1 lod​

Answers

Answer:

73% of 250 is 182.5

Step-by-step explanation:

Divide 73 by 100

73/100=.73

Multiply .73 by 250

.73*250=182.5

An antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.

3 ft = 1 yd

Answers

Answer:

0.01

Step-by-step explanation:

there is a total of 3,600 seconds in an hour so then u just devide 61 miles by 3,600 and get 0.01694444, round that to the nearest hundreth and you get 0.01

what is the range of the function f (x)= -1/3 lx-1l-2?​

Answers

Answer:

All real values less than or equal to -2 or (infinity, -2].

Step-by-step explanation:

The range of the function is the range of what the output can be. Let’s analyze the equation in parts.

Notice that |x-1| must always be greater than or equal to 0, so we know that 1/3|x-1| also must always be greater than or equal to 1/3*0 = 0.

With the negative, however, -1/3|x-1| must be less than or equal to -1/3*0 = 0.

Finally, we take the -2 into account. -1/3|x-1| - 2 must always be less than or equal to 0-2 = -2.

Therefore, the range is all real values less than or equal to -2, which can be written as (infinity, -2].

I hope this helps!

-4 1/4 as a decimal number HELP!!!

Answers

Answer:

-4.25

−4 1/4 = −4 +1/4

= −4/1+1/4

=(−4/1×4/4)+1/4

=−16/4 + 1/4= −17/4

So, -17 divided by 4 equals

-4.25

Find the PE ratio. Round to the nearest whole number.

Stock: Crown
Current Price per Share: $32.59
Annual Net Earnings per Share: $9.06

Answers

Answer:

4

Step-by-step explanation:

The current price per share is $32.59

The annual net earnings per share is $9.06

Therefore the PE ratio can be calculated as follows

= $32.59/$9.06

= 3.59

= 4 (to the nearest whole number)

Hence the PE ratio is 4

what is the slope in the equations: y = 4x + 3

Answers

Using the slope-intercept form, the slope is 4

Answer:

4

Step-by-step explanation:

y = mx + b

m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope

Each side a square playpen is 3 feet long. What is the playpen's area?

Answers

34ft squared is the answer

Answer:

It is 36ft squared

Step-by-step explanation:

Hope this helped have an amazing day!

d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie is wire was used?





HELP ME PLEASE!!!!!!

Answers

Answer:

1000 feet of tie wore is what he used

Step-by-step explanation:

simple

I dunno, need help!

Answers

it is d,c,b im pretty sure

The following data relates to the scores obtained by 9 salesmen of a company in an intelligence test and their weekly sales in thousands of Rs.
Salesmen:
A
B
C
D
E
F
G
H
I
Test score :
50
60
50
60
80
50
80
40
70
Weekly sales :
30
60
40
50
60
30
70
50
60
Obtain the regression equation of sales on test scores of the salesmen and estimate sales if the test score of a salesman is 65.

Answers

Answer:

y = 0.75x + 5 ;

53.75

Step-by-step explanation:

Giveb the data:

Test score :

50

60

50

60

80

50

80

40

70

Weekly sales :

30

60

40

50

60

30

70

50

60

The linear regression equation model obtained from the online regression equation is :

y = 0.75x + 5 ; where ;

y = weekly sales ; x = test score ; 0.75 = slope / gradient ; 5 = intercept

sales if the test score of a salesman is 65.

y = 0.75x + 5

x = 65

y = 0.75(65) + 5

y = 48.75 + 5

y = 53.75

WILL GIVE BRAINLIEST pls help

Answers

i’m answering for points and so the other person can get brainliest lol
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