Tom owns a landscaping business. He charges $40 for a yard cleanup, $50 to mow a lawn, and $75 to mulch a yard. On average, it takes Tom 25 minutes for a yard cleanup, 40 minutes to mow a lawn, and 2 hours to mulch a yard. Tom's clients are Mr. Hansen, Ms. Martinez, and Mrs. Johnson. . Mr. Hansen paid $125 for lawn services this week. . Tom spent more than an hour at Ms. Martinez' house this week. • Mrs. Johnson wrote Tom a check for $165 for the week. Tom made $405 from his three clients this week.

Answers

Answer 1

Answer:

Ms. Martinez =  Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.

Step-by-step explanation:

Tom made $405 for the week from his three clients

Mr. Hansen paid Tom $125

Mrs. Johnson paid Tom $165

405-165-125=115

Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)

Answer 2

The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:

Mr. Hansen paid $125 to mow a lawn and to mulch a yard.Mrs. Johnson paid $165 for the three servicesMs. Martinez paid $115 for a yard cleanup and to mulch a yard.

Given that:

Cost

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Time

[tex]2\ hrs \to[/tex] Yard cleanup

[tex]40\ mins \to[/tex] Mow a lawn

[tex]2\ hrs \to[/tex] Mulching a yard

[tex]Total\ Earnings = \$405[/tex]

From the question, we understand that:

[tex]Mr.\ Hansen = \$125[/tex]

Recall that:

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$50 + \$75 = 125[/tex]

This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.

[tex]Mrs.\ Johnson= \$165[/tex]

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$40 + \$50 + \$75 =\$165[/tex]

This means that Mrs. Johnson paid $165 for the three services

The amount paid by Ms. Martinez is calculated as follows:

[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]

Substitute known values

[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]

[tex]\$290 + Ms.\ Martinez = \$405[/tex]

Collect like terms

[tex]Ms.\ Martinez = \$405 - \$290[/tex]

[tex]Ms.\ Martinez = \$115[/tex]

This means that Ms. Martinez paid $115

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$75 \to[/tex] Mulching a yard

Add up

[tex]\$40 +\$75 = \$115[/tex]

This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

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Related Questions

3/6, 1/12, 3/6, 3/60 determine the lcd by division of prime number

Answers

Answer:

LCD = 60

BRAINLIEST, PLEASE!

Step-by-step explanation:

All of the denominator numbers are multiples of 60, and since 60 is also equal to the largest denominator number, it's the LCD.

Help me then get brainlest

Answers

Hi ;-)

This angle is

obtuse

Answer:

This is an obtuse angle

Step-by-step explanation:

Anything over 90 degrees is obtuse

y=3x+2y is it a function how do you do it

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Solve for y. You can do this by subtracting 3x+y from both sides of the equation.

  y -(3x+y) = 3x +2y -(3x +y)

  -3x = y

Or ...

  y = -3x

Each value of x maps to a single value of y, so this relation is a function.

_____

This equation is a first-degree polynomial in x. Any polynomial relation y=p(x) is a function, so this is a function.

3cm and 7cm
please help me find the area and the perimeter of the above figures using the formular ​

Answers

Its must be a rectangle

Length=3cmBreadth=7cm

Perimeter:-

[tex]\\ \sf\longmapsto 2(L+B)[/tex]

[tex]\\ \sf\longmapsto 2(3+7)[/tex]

[tex]\\ \sf\longmapsto 2(10)[/tex]

[tex]\\ \sf\longmapsto 20cm[/tex]

Area:-

[tex]\\ \sf\longmapsto Length\times Breadth[/tex]

[tex]\\ \sf\longmapsto 3(7)[/tex]

[tex]\\ \sf\longmapsto 21cm^2[/tex]

Answer:

Length=3cm

breadth=7cm

Area(A)=?

we know that,

Area of rectangle (A)=l*b

=3cm*7cm

= 21cm^2

Now,

Perimeter (P)= 2(l+b)

=2(3cm+7cm)

=2*10cm

=20cm Ans.

Write an
equation that passes through the origin with a rate of change equal to 1

Answers

Answer:

y = x

Step-by-step explanation:

Rate of change is also known as the gradient of a curve and denoted as "m".

If the rate of change is equal to one then "m" is equal to 1

In the general equation of a straight line:

y = mx + c

this would look like:

y = 1x

If it passes through the origin it intercepts the y-axis at 0 so c = 0

y = x + 0

or

y = x

(Please mark as brainliest)

RACE A city hosts a race annually. They decide to place a
camera halfway between the start and finish lines. If A
represents the starting line and Z represents the finish line,
find the coordinate of the midpoint.

Answers

Answer:

M

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

divide write your answer in simplest form 2/3 divided by 1/4

Answers

Answer:

8/3 or 2.6667

Step-by-step explanation:

when you divide fractions you use a technique called KCF

K = keep

C = change

F = flip

You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]

you keep [tex]\frac{2}{3}[/tex]

you change the symbol, so from ÷ you change it to x

and flip the last fraction, so you would have  [tex]\frac{4}{1}[/tex]

then you solve it

[tex]\frac{2}{3}[/tex] x  [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]

The result of 2/3 divided by 1/4 in simplest form is 8/3 .

Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.

Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].

Division of fractional terms:

[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]

Apply, division process of fractional terms.

[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]

[tex]= \frac{8}{3}[/tex]

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log base 4 (x+3)²- log base 4 y² = 0​

Answers

Answer:

x = - |y| - 3

Step-by-step explanation:

7th grade math plz help

Answers

Answer:

The total weight of Luigi's inventory if he collects 27 socks is 39.91 grams.

Step-by-step explanation:

Here is how you solve this problem:

1. Replace the variable for 27.

i = [tex]\frac{4}{3} 27 + 3\frac{2}{2}[/tex]

2. To make the equation easier, let's transform this fraction and mixed number into decimals.

4/3 = 4 ÷ 3 = 1.33

3 2/2 = 8/2 = 8 ÷ 2 = 4

3. Now, let's rewrite this equation.

i = 1.33 x 27 + 4

4. It's time to solve the equation.

i = 35.91 + 4

i = 39.91

Therefore, the total weight of Luigi's inventory if he collects 27 socks is 39.91 grams.

Evaluate81−−√4????? HELP

Answers

3*3*3*3 = 81
Answer = 3

Answer:

3 to the power of 4 is 81

Step-by-step explanation:

Identify which of the twelve basic functions listed below fit the description given.
y = x, y = x2, y = x3, y = , y = , y = ex, y = , y = ln x, y = sin x, y = cos x, y = int (x), y = 1/1+e-x
The two functions with infinitely many zeros

Answers

Try this option:

only periodical functions have many zeros, that is why y=sinx and y=cosx are the correct answer.

The functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

The two functions with infinitely many zeros from the given list of twelve basic functions are y = x and y = x³

The function y = x has infinitely many zeros because any value of x that equals zero will result in y also being zero.

In other words, for every x value of 0, the corresponding y value is also 0.

This makes the function pass through the origin (0, 0) and have an infinite number of zeros.

2. The function y = x³ also has infinitely many zeros because the cube of any real number is zero if and only if the number itself is zero.

This means that for every x value of 0, the corresponding y value is also 0. Hence, the function y = x³ passes through the origin (0, 0) and has an infinite number of zeros.

In summary, the functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

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After writing a $400 check to pay a bill, a student had a balance of $550 in his account. How much did he have in the account before he wrote the check?

a) Let x= his balance before writing the check. Write the equation you would use to solve this problem.

Answers

Answer:

x=950

Step-by-step explanation:

550+400=x

10. Which statement is NOT true about rational numbers?
F The sum of two rational numbers is also a rational number
G 0is not a rational number.
H The product of two rational numbers is also a rational number.
J The opposite of a rational number is also a rational number.

Answers

Answer:

The rational numbers are the numbers can be expressed in the form of

r =  p/q

Let's see the answer choices:

F The sum of two rational numbers is also a rational number

This is TRUE

G 0 is not a rational number.

This is FALSE as 0 can be expressed in the form of r= p/q, where p = 0

H The product of two rational numbers is also a rational number.

This is TRUE

J The opposite of a rational number is also a rational number.

This is TRUE

Answer:

Answer :-

F. The sum of two ration number is a rational number.

True

Eg - 1/2 + (-1)/3

3 - 2/3 = 1/3

G. 0 is not a rational number

False. Because 0 can't be represented as p/q form.

H. The product of two rational numbers is also a rational number.

True.

Eg - 1/2 × 3/4 = 3/8

J.The opposite of a rational number is also a rational number.

True. Eg - 1/2 and 2/1

Unit 1.1.E.01 State the value of the CONSTANT TERM. y=x2−4

Answers

Answer:

-4

Step-by-step explanation:

Should be lah, cuz the others like y and x2 are variables

a ball is drawn randomly from a jar 8 red balls, 12 white balls and 13 yellow balls. find the probability of drawing a white ball

Answers

Here is my solution. Ask if u can’t understand

Consider the points below. P(â1, 4, 1), Q(0, 6, 2), R(4, 3, â1)

a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
b. Find the area of the triangle PQR.

Answers

Answer:

B. Find the area of the triangle PQR.

4 adults consumed food costing $60 for 3days. For the same food cost ,what would be the cost of food consumed by 7 adults for 5days?

Answers

Answer:

$175

Step-by-step explanation:

$60÷3÷4 =5

$5 is the cost of one adult's food for one day.

$5×7×5

=$175

$175 is the cost of food consumed by 7 adults for 5 days.

7. What's the perimeter of a rectangle with length 12 m and width 5 m?
A. 60 m
B. 49 m
C. 34 m
D. 17 m

Answers

Answer:

Option(c) 34m

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

length = 12m

breadth/width = 5m

Perimeter = 2(12 + 5)

                = 2(17)

                = 34m

Answer:

34

you just add, 12+5+12+5 to get 34

How many days are there in j weeks​

Answers

Answer:

ummm is that a thing

Step-by-step explanation:

Find the midpoint of the segment with the given endpoints. (-7,-4) and (3,7)?

Answers

9514 1404 393

Answer:

  (-2, 1.5)

Step-by-step explanation:

The coordinates of the midpoint are the average of the end point coordinates:

  ((-7, -4) +(3, 7))/2 = (-7+3, -4+7)/2 = (-4, 3)/2 = (-2, 1.5)

The coordinates of the midpoint are (-2, 1.5).

Solve the below:
4x+3y=7 3x-2y=9

Answers

4x+3y=7
3x-2y=9

12x+9y=21
12x-8y=36
^^Multiply top equation by 3 and multiply bottom equation by 4

12x+9y=36
- 12x-8y=36

17y=-15
^^Then subtract those two new equations

17y/17= -15/17

Y= -0.88
^^Next divide both sides by 17

4x+3* -0.88=7

4x + (-2.64) =7
-(-2.64) -(-2.64)

4x = 9.64

4x/4=9.64/4
X=2.41

^^then choose on equation and put your new y in the y spot and solve.


X=2.41

Y=-0.88

Your point/coordinate is (2.41,-.88)

The Earth scientist most likely to study volcanoes is a (n)

A. Meteorologist

B. Geologist

C. Oceanographer

D. Astronomer

Answers

The answer is B Geologist

Answer:

geologist

Step-by-step explanation:

they work with the earths surface and natural land that changes

Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, is steady for a while, and then goes down over time.
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, is steady for a while, and then goes up over time.
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, goes down for a while, and then is steady over time.

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

If you read your own question, you find that it answers itself.

The problem statement tells you that speed ...

  ... increasing its speed, constant speed, then decreases

And it tells you the graphs show ...

  (a) begins at 0, goes up, is steady for a while, and then goes down

  (b) begins in the middle, goes down, is steady, and then goes up

  (c) begins at 0, goes up, goes down, and then is steady

___

The first graph has the increasing, steady, decreasing pattern you're looking for.

A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest

Answers

9514 1404 393

Answer:

  15 in, 30 in, 30 in

Step-by-step explanation:

Let x represent the length of the smallest side. Then the other two sides are (x+15) and (2x). The perimeter is the sum of the side lengths:

  x +(x +15) +2x = 75

  4x = 60

  x = 15 . . . . . . . . . . . shortest side

  (x+15) = 30 . . . . . . second side

  (2x) = 30 . . . . . . . third side

The shortest side is 15 inches, the second side is 30 inches, and the third side is 30 inches.

find the value of a and b in (a,2)=(2,b)​

Answers

Answer:

a=2 and b=2...............

Problem 2
Find the area of each shaded region. Show or explain your reasoning.
A
2 cm
B
2 cm
2cm
6 cm
5 cm
3 cm
6 cm
8 cm
C С
D
15 cm
8 cm
8 cm
15 cm
9 cm
6 cm
10 cm

Answers

Step-by-step explanation:

A

this is the combination of a 4×6 rectangle and a 2×2 square. nothing is excluded.

so, the area is

(6-2)×6 + 2×2 = 4×6 + 4 = 24 + 4 = 28 cm²

B

this is the area of the large 8×5 rectangle minus the area of the small 2×3 rectangle.

so the area is

8×5 - 3×2 = 40 - 6 = 34 cm²

C

Basically the same thing as for B. large rectangle minus smaller rectangle.

so, the area is

15×10 - 9×6 = 150 - 54 = 96 cm²

D

the area of a triangle is

baseline × height / 2

or baseline here is 2×8, and the height is 5

so we get the area

2×8 × 5 / 2 = 8×5 = 40 cm²

Need help for this question. ASAP

Answers

Answer:

Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed left

The sum of twice a number and three

Answers

Answer:

i dont get what youre asking

Step-by-step explanation:

Answer:

2n + 3

Step-by-step explanation:

n = number

Sum of twice a number (2n) and (3)

-> 2n + 3

Write a two-step equation and solve.

Four more than six times a number is 22

Five less than eleven times a number is 50

Seven less than nine times a number is -16

Answers

Step-by-step explanation:

1) let number=a

six times a number=6a

Condition:

6a+4=22

2) eleven times a number=11a

Condition:

11a-5=50

3) 9 times a number=9a

Condition:

9a-7=-16

Note:if you need to ask any question please let me know.

19. When the members of a high school club are
arranged in rows of 2, 3, or 4, there is one
person always left over. But when the club
members are arranged in rows of 5, no one is
left over. What is the least number of people
who could be in the club?
À 15 people
C 45 people
B 25 people D 85 people

Answers

9514 1404 393

Answer:

 B.  25 people

Step-by-step explanation:

The remainders tell you the number will be 1 more than some multiple of the least common multiple (LCM) of 2, 3, and 4. The LCM is 3·4 = 12, so we want some multiple (n) of that such that 12n+1 is a multiple of 5. We know this is the case for n=2.

The least number of people who could be in the club is 2·12+1 = 25.

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