Last year you mowed grass and shoveled snow for 22 households.

You earned $150 per household mowing for the entire season and $225 per household shoveling the entire season.

If you earned a total of $3900 last year, how many households did you mow and shovel for last year?​

Answers

Answer 1

Step-by-step explanation:

Let x be the number of households you mowed grass.

Let y be the number of households you shoveled snow.

From there, we know,

[tex]x + y = 22[/tex]

as equation 1.

next we also know,

[tex]150x + 225y = 3900[/tex]

as equation 2.

From here we know we can solve using simultaneous equations.

rearranging equation 1 with y the subject,

[tex]y = 22 - x[/tex]

Substitute this equation into equation 2.

[tex]150x + 225(22 - x) = 3900 \\ 150x + 4950 - 225x = 3900 \\ - 75x + 4950 = 3900 \\ - 75x = 3900 - 4950 \\ - 75x = - 1050 \\ x = - 1050 \div - 75 \\ = 14[/tex]

now substitute x = 14 into equation 1.

[tex]14 + y = 22 \\ y = 22 - 14 \\ = 8[/tex]

Therefore, you have mowed grass for 14 households and shovelled snow for 8 households.


Related Questions

please help as soon as possible

Answers

Answer:

m =  [tex]\frac{4}{3}[/tex]

HELP ME PLEASE ITS DUE TODAY!!!!

Answers

Step-by-step explanation:

[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]

Therefore ranking them from least to most:

[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]

Can someone please help me and write out the answer​

Answers

Answer:

2 x + (-2)

Step-by-step explanation:

You have two known points (1,0) and (0,-2)

the slope which is the coefficient of x = 2

and the y-intercept = -2

help. i’ll give brainliest & thank you!!

Answers

Answer:

The line with a slope of 1/2 is steeper

Step-by-step explanation:

Here, we want to get which slope is steeper

mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes

The line with a slope that is of greater value will be steeper

Mathematically, 1/2 is a greater number than 1/3

That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line

can someone help my lil sis.

Answers

Answer:

Step-by-step explanation:

Step 1 put the number in:

y=(3)(6)-(5)

Step 2 multiply:

y=18-5

Step 3 subtract:

y=13

Please look at picture

Answers

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

Please help, solve for x

Answers

Answer:

x=39°

Step-by-step explanation:

the tangent from the diameter is 90°

x+90+51=180 sum of interior angle of the triangle is 180

x=180-90-51=39°

Question is in the picture

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + 1 because the slope enters at 1, rise/run

The height of the rectangular prism measures 64 cm. If the height is increased by 1.5​ cm, by how much will the surface area of the box​ increase?

Answers

Answer:

Increase in surface area =  126 cm²

Step-by-step explanation:

Surface area of the rectangular prism has the dimensions as

Length = 42 cm

Width = 35 cm

Height = 64 cm

Total surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length of the box

b = Width of rectangular box

h = height

Total surface area = 2(42×35 + 35×64 + 64×42)

= 2(1470 + 2240 + 2688)

= 12796 cm²

If height is increased by by 1.5 cm, new height of the box = 64 + 1.5 = 65.5 cm

Surface area of the box = 2(42×35 + 35×65.5 + 65.5×42)

= 2(1470 + 2240 + 2751)

= 12922 cm²

Increase in surface area = 12922 - 12796

                                          = 126 cm²

Hailey went hiking she started the hike at the elevation of 243 feet she climbed down 782 feet when she was ready to leave she climbed back up 118 feet what was haileys elevation at the end of the hiking trip

Answers

Answer:

-421 feet

Step-by-step explanation:

If she started at 243 feet, subtract 782 feet which is -539 feet. Then add 118 feet which is -421 feet. This is how my sister did it so I hope it helps!


The coordinates of the vertices of triangle QRS are Q (1,-2), R (1,9),
S (6,-4). What is the length, in units, of the line segment that connects
vertex Q to vertex R?

Answers

I think 1700000000000000000

Answer:

QR = 11

Step-by-step explanation:

Q and R are on a vertical line.  Therefore, QR = 9 - (-2) = 9 + 2 = 11

Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25.

Answers

Complete question

Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25. Determine the rate of change for a function that represents Asif's profit, y, in dollars, from selling x cups of lemonade.

Answer:

Step-by-step explanation:

The rate of Change for the function that determines profit :

Slope value, m ;

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 16.25 ; y1= 0 ; x2 = 45 ; x1 = 32

m = (16.25 - 0) / (45 - 32)

m = 16.25 / 13

m = 1.25

Hence, the rate of change in in profit for selling x k cuos of lemonade = $1.25

first to help gets marked brainliest… pls explain how u got the answer plsss

Answers

H is the answer
..............................

Answer:

177 ft below sea level

Step-by-step explanation:

282

10 x 12 = 120. This represents how man ft the hot air balloon rose.

282 - 120 = 162. Keep in mind your still below sea level.

162 + 15 = 177

You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)

What fraction is equivalent to 3/12?


A.12/48

B.1/4

C.18/60

D.24/96

Answers

the answers is A because 3 equals to 12 and 12 equals to 48

Translate the sentence into an equation. Nine more than the quotient of a number and 2 is 5. Use the variable c for the unknown number.​

Answers

Answer:

9 + (n/2) = 4

Step-by-step explanation:

find the measure of the angle indicated

PLEASE HELP

Answers

The measure of the angle is 137 degrees


180 - 60 - 45 = 75
180 - 75 - 68 = 37
180 - 100 - 37 = 43
180 - 43 = 137

Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5

Answers

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

If Z is the centroid of RST, RZ = 42, ST = 74, TW = 51, ZY = 23 and find each measure TZ = ? ZW = ? SY = ? XZ = ?

Answers

The Triangle RST is missing, so i have attached it.

Answer:

A) TZ = 34

B) ZW = 17

C) SY = 69

D) XZ = 21

Step-by-step explanation:

To form the centroid, we see median drawn from the centre of all three sides.

Thus means the 3 sides are divided into 2 and as such;

XS = XT

YR = YT

WR = WT

Now, for median that forms centroid, the two parts are usually not the same length but instead in the ratio 2:1. That means one portion of the line segment is twice the length of the other.

Thus, by inspection of the given triangle, we can say that;

SZ = 2(ZY)

TZ = 2(ZW)

RZ = 2(XZ)

A) Now, we are given TW = 51

TW is made up of TZ and ZW

But since TZ : ZW = 2:1, it means that;

TZ = ⅔ × TW

TZ = ⅔ × 51

TZ = 34

B) From earlier, we saw that TZ = 2(ZW).

Thus; 34 = 2(ZW)

ZW = 34/2

ZW = 17

C) We are given ZY = 23.

From earlier, we saw that;SZ = 2(ZY)

Thus; SZ = 2(23)

SZ = 46

From the attached image we can see that;

SY = SZ + ZY

Thus;

SY = 46 + 23

SY = 69

D) We are given RZ = 42.

From earlier, we saw that;

RZ = 2(XZ)

Thus;

42 = 2(XZ)

XZ = 42/2

XZ = 21

PLS HELP ME WITH THIS QUESTION

Answers

5ft (i’m just typing because i need more characters)

Carolyn has cut a piece of ribbon 29 centimeters long from a roll. Which
instrument would she use to measure the length of the piece of ribbon?

A) meter stick
B) graduated cylinder
C) weighing scale
D) measuring spoon

Answers

Answer:

A. meter stick

Step-by-step explanation:

The other answers do not make sense.

B is used to measure liquids.

C is used to measure weight/mass

D is used to measure the ingredients needed for a recipe, usually cooking.

I think the answer to your question may be C) measuring spoonand the reason why is

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?

Answers

Answer:

12 = 1/2(x)(5x - 2)

Bonus solution for x = 2.4 ft

Step-by-step explanation:

area = 1/2xh

h = 5x - 2

12 = 1/2(x)(5x - 2)

24 = 5x² - 2x

5x² - 2x - 24 = 0

x² - 0.4x - 4.8 = 0

(x - 2.4)(x + 2) = 0

x = 2.4

Answer:

5x^2 − 2x − 24 = 0

Step-by-step explanation:

What two integers have the product of -30 and the sum of -7?

Answers

Answer:

hope it helps you.......mm

Rachel needs to buy some pencils. Brand A has a pack of 28 pencils for $5.29. Brand B has a pack of 48 pencils for $8.47 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

Hence Brand B is the better buy, since the unit cost is smaller than A

Step-by-step explanation:

Given data

Brand A

Has a pack of 28 pencils for $5.29

unit cost

=5.29/28

=$0.19

Brand B

Has a pack of 48 pencils for $8.47

unit cost

=8.47/48

=$0.18

please help me solve this equation

Answers

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]

1.2 ÷ 4 = 12 tenths ÷ 4

Answers

Answer:

Yes you're right, it does

The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?
PLEASE EXPLAIN YOUR ANSWER!!!!

Answers

Answer:

3

Step-by-step explanation:

I can't explain.. i don't know it's like a whole paragraph. I'm sorry! I hope I helped tho!

Answer:

The answer is 64, and I’m being for real

Step-by-step explanation:

What is the slope of the line shown?

Answers

Answer:

The slope is -2

Step-by-step explanation:

Well youc an find two points and use the slope formula to find the slope.

(y2-y1) / (X2-x1)

the slope is -2 hope I help

Arul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radies of each brand 30 times at the same speed and measured how long the radies played in minutes before running out of power the results of the experiment are displayed in the box plots below​

Answers

The power of tanks will dirt rags and

Answer:

50%

Step-by-step explanation:

Please help me with this

Answers

(2,4)
2 is for the x axis and 4 is for the y axis
The answer is E. (2,4)

What mathematical operation is used in a check register when a withdrawal is made?
Group of answer choices

Answers

Answer:

Subtraction

Step-by-step explanation:

In general, there are two things you can do with savings:

withdraw or deposit.

Withdraw essentially means to take out money and deposit is converse.

These two processes can be associated with the mathematical operations subtraction and addition respectively.

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