Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money. Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Answers

Answer 1

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

 

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Hope this helps have a good day


Related Questions

Complete the equation: 2^2 – 14x + __ = (_)^2

A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7

Answers

The answer is d becuase 4-14x+49= (2x-7) to the power of 2 but i think u wrote r wrong and u meant 2 -7

I need help ASAP !!!!

Answers

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}

A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice type do you need for a 375 ml mixture?

Answers

Answer: a good amount

Step-by-step explanation:

because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry

You would get a mixture of a really good smoothie Thankyou for the idea

Find the values of x and y.

Answers

Answer:

x=14

y=24

Step-by-step explanation:

4y+42=8y-54

4y-8y=54-42

-4y/4=96/-4

y=24

solving for x

5x-28=7x-56

5x-7x=-56+28

-2x/-2=-28/-2

x=14

(-6)^-1 multiply by x = 27^-1. find x

Answers

i’m guessing the question is written as (-6)^-1x=27^-1

to get rid of a negative exponent, you use the reciprocal of the number.

so (-6)^-1 would be 1/-6
27^-1 would be 1/27

rewrite is as

(1/-6)x = 1/27

multiply both sides by reciprocal or 1/-6 to cancel it and make x by itself

it’s would be x = 1/27(-6)

multiply

x = -6/27

simplify

the final answer is x=-2/9

In the coordinate plane, two vertices of square ABCD are A (0, 0) and B (0, m). What are the coordinates of points C and D? Do not introduce any new variables.

Answers

Answer:

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Step-by-step explanation:

Square:

In a square, all sides have the same length.

A (0, 0) and B (0, m).

This means that the length of the sides is m.

So:

From A, adding m vertically, we get point (0,m), which is B.

From A, adding m horizontally, we get point (m,0), which I will call D.

From B, adding m horizontally, we get point (m,m), which I will call C.

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

solve the equation 4x-|-2|=18

Answers

x=5 hope this helps

how many meters are there in 50 foots​

Answers

Answer:

15.24m

Step-by-step explanation:

1-foot=0,304m then 50-foot=0,304*50=15,2 m

If you added 74 and 5/8, would the answer be more than 12, less than 12, or
exactly 12? How do you know?

Answers

Answer:

more than 12

Step-by-step explanation:

because one of the numbers is already larger than 12

in the diagram below,RQ is parallel to ST. ST =4cm RP =10cm PT = 5cm a.find,. i.the scale factor. ii.|RQ|. b.if the area of ∆PRQ is 80 cm find the area of triangle ∆PST.​

Answers

Answer:

us7e7eoeod8rr8r88rr8 fnddkdkiduduru

Scale factor is 1/2. and, Area of PST = 20cm^2

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

we get in the diagram below, RQ is parallel to ST.

ST =4cm

RP =10cm

PT = 5cm

Now, PRQ is larger than PTS

i.e. the scale factor = 5/10

                                =1/2

And, |RQ|= ST*2

               =4*2

               =8

Now, area of PRQ =80cm^2

so, area of PST = 80*1/2^2

                          =80*1/4

                          =20cm^2

Hence, Scale factor is 1/2., Area of PST = 20cm^2.

To learn more on triangle click:

brainly.com/question/29126067

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helppppppppppppppppppppp plzzzzz

Answers

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Does anyone know how to solve these?

Answers

remember the slope= rise/run. so for the first graph, there are coordinates (0,5) and (2,3). so the rise = 3-5=-2 and the run=2-0=2 so the slope=-2/2=-1. and since the equation for a line is y=mx+ b, where m is the slope and b is the y intercept, the answer is y=-x+5

then just do the same process with the other question to get y=(2/5)x-3

Answer:

1st graph: slope is -1 and equation is y=-x+5

2nd graph: slope is 2/5 and equation is y=2/5x-3

Step-by-step explanation:

y=mx+b is slope-intercept form.

It's call that because this forn tells us the slope,m, and the y-intercept,b.

The first graph you have identified b as 5 since you said the y-intercept was (0,5).

Now we just find slope by finding rise/run.

(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.

The equation for first graph is y=-1x+5 or y=-x+5.

So again you have no problem identifying the y-intercept which is b=-3.

Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.

Find the length of PL


A. 23
B. 19
C. 30
D. 46

Answers

The answer is B) 19.

A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?

Answers

Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs [tex]\$4.25\ lb[/tex]

Almonds costs [tex]\$3.80\ lb[/tex]

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]

Amount of cashews =4 lb

Amount of almonds =2 lb

Mr. Lord borrowed $100,000 from a bank at a rate of 8% per annum for 3 years. Calculate the amount accruing for the loan

Answers

Answer: [tex]\$125,971.2[/tex]

Step-by-step explanation:

Given

Principal amount [tex]P=\$100,000[/tex]

Rate of interest [tex]r=8\%[/tex]

Time period [tex]t=3\ yr[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P\left(1+r\%\right)^t\\\Rightarrow A=100,000(1+0.08)^3\\\Rightarrow A=\$125,971.2[/tex]

Thus, the amount accruing for loan is [tex]\$125,971.2[/tex]

work out 1 2/3 x 1 1/5
pls give the full answer with working out

{NOTE:the 2/3 and the 1/5 are fractions and the 1's are the whole numbers}

Answers

Answer:

5/3*1/5= 1/3

Step-by-step explanation:

change the mixed fraction into improper fraction which is 1*3+2=5

then multiply

Fifth grade students from Garden City Elementary School left for a field trip at the time shown on the clock.(6:54am) They returned from the field trip at 10:24 p.M. How long were the students on this field trip?

Answers

Answer:

15 hour(s) and 30 minute(s).

Step-by-step explanation:

Answer:

krkrkrl4k3?8999kekek

Step-by-step explanation:

the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have

. How do we have a look at the moment. The comments for the first time in the UK. I

write the expression that represents the phrase: the quotient of 10 and x

Answers

Answer:

Step-by-step explanation:

[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]

A 90 % confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. the interval was ($133, 306, $150, 733). To make useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width?
A) Increase the sample size and increase the confidence level.
B) Decrease the sample size and increase the confidence level.
C) Decrease the sample size and decrease the confidence level.
D) Increase the sample size and decrease the confidence level.

Answers

Answer: D) Increase the sample size and decrease the confidence level.

Step-by-step explanation:

A reduced interval width means that the data is more accurate. This can only be achieved if the sample size is increased because a larger sample size is able to capture more of the characteristics of the variables being tested.

A smaller confidence interval will also lead to a reduced interval width because it means that the chances of the prediction being correct have increased.

PLEASE ANSWER CORRECTLY FOR BRAINLIEST:

25.

26.

27.

29.

Answers

Answer:

x = 6

Step-by-step explanation:

5 (x - 3) + 2 = 5 (2x - 8) - 3

remove the parenteses

5x - 15 + 2 = 10x - 40 - 3

calculate

5x - 13 = 10x - 43

move the terms

5x - 10x = -43 + 13

collect like terms calculate

-5x = -30

divide both sides

Solution

x = 6

Write down five numbers so that:the mean is 6,the median is 5 and the mode is 4

Answers

Answer:

4 , 4 , 5 , 6 , 11

Step-by-step explanation:

Mode = 4

So at least two times 4 should be there in the data.

And median is 5. So the middle term ( 3rd term} should 5.

Let x and y be the 4th term and 5th term

Data set:

4 , 4 , 5 , x , y

Mean =6

[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]

4+4+5 +x + y = 6*5

13 + x + y = 30

     x + y = 30 - 13

     x + y = 17

x ,y can be any numbers that sum up to 17.

x , y  can be  10 , 7   or  6, 11

Data set: 4 , 4 , 5 , 6, 11

What should you substitute for y in the bottom equation to solve the system by the substitution method?

A. y=3x+15

B. y =-x-5

C. y=x+5

D. y=-3-15

Answers

Answer: y= -x-5


Step 1: Determine which equation to change

Since we will be using the substitution method, we will need to substitute y from the bottom equation with information from the top equation. This will be the equation we change.

Step 2: Change the equation

Let’s rewrite the equation we will be working with.

3x+3y= -15

Our goal will be to get y alone on the left side. To start, let’s subtract 3x from both sides, leaving only 3y on the left side.

3x+3y= -15
3y= -3x-15

Now we need to get y completely alone by eliminating the coefficient of 3. Let’s do this by dividing each term by 3.

3y= -3x-15
y= -x-5


This is your answer. Hope this helps! Comment below for more questions.

Write the equation of the line in Slope-Intercept Form given the information below.


Slope =−7/4


Y-Intercept =5

Answers

Answer:

y = -7/4 x + 5

Step-by-step explanation:

x/3 + 8 = 23 . Find the value of x

Answers

Answer:

45

Step-by-step explanation:

x/3 + 8 =23

=> x/3 = 23-8

=> x/3 = 15

=> x = 15 x 3

x = 45

Answer:

x=45

Step-by-step explanation:

To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.

Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45

Answers

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

What inequality represents the situation?

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

Find out more on inequalities at https://brainly.com/question/2501321.

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Which of the statements proves that the lines a and b are parallel?

Answers

Answer:

C

Step-by-step explanation:

1,2 are both supplementary

Please help timed question (question included in photo). I'll mark as brainiest!

Answers

Answer:

Step-by-step explanation:

This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:

[tex]tan(2)=\frac{200}{x}[/tex] and

[tex]x=\frac{200}{tan(2)}[/tex] so

x = 5727.25 feet, the third choice down

Answer:

[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]

[tex]x=5,727.25[/tex]

------------------------

hope it helps..

have a great day!!

Simplify this expression:
-(x+2)+4

i have no idea im not good with math ;(

Answers

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?

Answers

Answer:

£8520

43000-11000=32000

20/100×32000

£6400

48300-43000=5300

40/100×5300=2120

£8520

If x + 10 = 70, what is x?

Answers

x = 60 because 60+10= 70

Answer:

x=60

Step-by-step explanation:

First, you subtract 10 from both sides. Your final answer is 60.

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