Two rival cleaning companies charge to dust houses. Captain Dustsalot charges
$20 per house call plus $ 12 per room, and Dedusters charges $30 per house call
plus $10 per room. Abigail wants to know how many rooms she must get dusted
so that Captain Dustsalot is more expensive than Dedusters. Which inequality
should she use to figure this out if x represents the number of rooms she gets
dusted?

Answers

Answer 1

Answer:

6 rooms

Step-by-step explanation:

20+12x=30+10x

12-10=2

20+2x=30

30-20=10

2x=10

10/2=5

5 rooms to make them equal so 6 rooms to make captain datalot more

Answer 2

The inequality is 20+12x> 30 +10x.

what is an inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

Captain Dustsalot charges

$20 per house call

$ 12 per room

Dedusters charges

30 per house call

$10 per room

let  x represents the number of rooms she gets dusted.

so, inequality that represents rooms she must get dusted so that Captain Dustsalot is more expensive than Dedusters.

20+12x> 30 +10x

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Related Questions

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.50 per slice of pizza. Aaliyah purchased a membership to this pizza shop. How much would Aaliyah have to pay the pizza shop if she bought 6 slices of pizza this month? What would be the monthly cost for x slices of pizza?

Answers

Answer:
$34
$26.5
Step-by-step explanation:
Membership cost per month = $25
Price of a slice of pizza for members= $1.50
How much would Aaliyah have
to pay the pizza shop if she bought 6 slices of pizza this month
Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza
= $25 + $1.50(6)
= $25 + $9
= $34
What would be the
monthly cost for a slices of pizza
Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza
= $25 + $1.5
= $26.5

Answer:

$1.50x6=$9+$25=$34

Step-by-step explanation:

or if its multiply 1.50 x 6 = 9 x 25 =225

I will mark brainliest if answered correctly, plz hurry!!!


△DEF and △FGH similar right triangles. The coordinates of all the vertices are integers. The relationship between the slope of DF¯¯¯¯¯ and the slope of FH¯¯¯¯¯¯ cannot be determined, because the triangles are congruent. The slope of DF¯¯¯¯¯ is less than the slope of FH¯¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for DF¯¯¯¯¯ than for FH¯¯¯¯¯¯ . The slope of DF¯¯¯¯¯ is equal to the slope of FH¯¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for DF¯¯¯¯¯ as for FH¯¯¯¯¯¯ The slope of DF¯¯¯¯¯ is greater than the slope of FH¯¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for DF¯¯¯¯¯ than for FH¯¯¯¯¯¯ .

Answers

Answer:

Congruent triangles are triangles with the same sides and the same measure of angles. You are given triangle DEF which is similar to triangle FGH. From the figure, side FH is larger than side DF. So the statement of them being congruent cancels out. Triangle DEF is smaller in size than triangle FGH. So they are not congruent. The slope is defined as the rise overrun. Side DF has the same slope as side FH. Sides DE and FE are proportional to sides FG and HG. Only C and D are correct.

Step-by-step explanation:

Suppose BD bisects ABC. If m ABD = 12x+24 and m DBC = 20x +16 what is m ABC?

Answers

Answer:

The measure of ABC is 72

Step-by-step explanation:

if the angle ABC is bisected, it means that the two angles ABD and DBC are equal;

Thus;

12x + 24 = 20x + 16

20x -12x = 24-16

8x = 8

x = 1

The measure of angle ABC is the sum of the two angles

ABC = 12x + 24 + 20x + 16

ABC = 32x + 40

Substitute x = 1

ABC = 32(1) + 40

ABC = 72 degrees

Write 8.29 x 10-7 in standard form.

Answers

Answer:

0.000000829

Step-by-step explanation:

that's the answer

Find the equation that represents the proportional relationship in this graph, for
y
y in terms of
x
x.
2
4
6
8
10
1
2
3
4
5
6
7
8
9
10
0
x
y
0

Answers

Answer:

Sorry i can't find the equation of this question

Step-by-step explanation:

Vertex form
Y=3x^2+12x+8

Answers

Answer:

y = 3 ( x + 2 ) 2 − 4

Step-by-step explanation:

2. A farmer sells half of his yearling calf herd at the local stockyards. His average weight for each of the 30 head sold was 575 lbs. He received $2.27 per pound for the calves . He paid a sales commission of 3%,a yardage fee of $2.00 per head, along with a hauling fee of $210. What is the amount of the check he will receive? a. $37,712.77 b.$39,157.50 c. $40,062.23 d.$40,601.72​

Answers

Answer:

A

Step-by-step explanation:

Cause it right and pls dont remind me

Determine the degree of each monomial.
4
Degree:
1
2z
Degree:
472st3
Degree:
3.xyz
Degree:
DONE

Answers

Answer:

0, 1, 6, 4, second part: 4, Third part: 4 and 7

Step-by-step explanation:

...

Answer: the person above is correct

Please someone answer this

Answers

Answer:

F,E,A

Step-by-step explanation:

collinear points are points lying on a straight line

non-collinear points are points not on a straight line

Evaluate f (x)2- 3x+2 given f (x+1)

Answers

Answer:

Solve for f by simplifying both sides of the equation, then isolating the variable.

f(x)=−3x+4f(x)=-3x+4

Please help!
Consider the two triangles shown on the grid below. Which of these statements are supported by the diagram? Choose all that are correct. *


90° clockwise rotation about the origin followed by a translation of 1 along the y-axis and a dilation of 2 centered at the origin will map Triangle #1 onto Triangle #2.
Triangle #1 is congruent to Triangle #2.
Triangle #1 is similar to Triangle #2.
Triangle #1 is neither similar nor congruent to Triangle #2.
There is no sequence of transformations that will map Triangle #1 exactly onto Triangle #2.
A 90° clockwise rotation about the origin followed by a dilation of 2 centered at the origin will map Triangle #1 onto Triangle #2.

Answers

Answer:

Triangle #1 is similar to Triangle #2

Step-by-step explanation:

For two triangles to be similar, they need to be the same shape but not size. These two triangles are the same shape but not size :)

The other answers available also don't match. It cannot be 1 or 2 because they are definitely not true. Answer 3 and 4 don't really make sense.

A hot air balloon traveled 2.5 hours at a speed of 450 km/hr. What distance did it travel?

Answers

Answer:

1,125 km

Step-by-step explanation:

So you want to find out how far the balloon went and we already know how fast and how long it's been traveling for. So now, all you have to do is come up with an equation which looks like:

2.5 x 450

Which equals 1,125 km.

The speed 450km/hour tells us that the balloon travels 450km in one hour. To find how much it traveled in 2.5 hours, we multiply 450 by 2.5.

450 x 2.5 = 1125 km

Therefore, the balloon traveled 1125 km in 2.5 hours

PLEASE HELP!!!!!!!!!!!!!!!!!!

Find the perimeter of the figure to the nearest hundredth.

Answers

Answer:

26.86

Step-by-step explanation:

P = 5 + 7 + 7 + C {divided by} 2

C = d {times} π

  = 5 {times} 3.14

  ≈ 15.71

P = 19 + 15.71 {divided by} 2

  = 19 + 7.855

  = 26.855

  ≈26.86

GOODNIGHT luvs!!!!! 1+1=3 lol just a lil humor

Answers

Answer:

Goodnight

Step-by-step explanation:

<3 don't stay up late and get rest !

Answer:

wow

Step-by-step explanation:

Point A is at (-6,8) and point M is at (0,0.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer:

(6,-7)

Step-by-step explanation:

the coordinates of point B are (6-7)

Answer:

the first answer is right

Step-by-step explanation:

♦HURRY PLEASE!!! ♦


Don't worry about the answer choice that is highlighted : )

Answers

Answer:

It's 3

Step-by-step explanation:

Bc it's placed before and it's multiplying the variable in the algebraic expression

4) After solving a rational equation you must check your solutions in the
original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.​

Answers

Answer: D) To make sure the value does not make the denominator 0.​

We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.

Solve: 4x - 8 = 4x + 8

Answers

Answer:

No possible solutions

Step-by-step explanation:

This is becauase if you try to add 8 from the right side, the equation goes:

4x + 16 = 4x

oWhich, is impossible, which means that there is no possible solutions

Given the following diagram, find the required measure.

Given: / l l m
m<1 = 140°
m<3 = 50°

Answer:m<2=

A.40
B.140
C.90
D.50​

Answers

Answer:

m∠2 = 40°

Step-by-step explanation:

m∠2 = 180 - 140

m∠2 = 40°

Answer:

m∠2 = 40°

Step-by-step explanation:

A pool is being drained at a rate of 7200 gallons per hour. What is this rate in gallons per minute?
HINT: 60 minutes = 1 hour

Answers

Answer:

120 gallons per minute

120 gallons per minute

Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12

Answers

Answer:

y= -2/3x + 4

Step-by-step explanation:

2x + 3y = 12

3y = 12 - 2x

3y/3 = 12/3 - 2x/3

y = 4 -2x/3

y = -2x/3 + 4

Use algebra tiles to solve 5x = 5

Answers

Answer:

1

Step-by-step explanation:

5x=5

1x=1

x=1

Find the area of the shape

Answers

Answer: 117(measuring unit)squared
Explanation: Length times width (9 times 13)

Could someone also help me out on this please?

Answers

Answer:

A

Step-by-step explanation:

When cross multiplied they equal the same thing

The amount of money left in Alma's bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account? 12 weeks 16 weeks 22 weeks 26 weeks

Answers

Given:

The linear equation is

[tex]y=-27x+577[/tex]

where x represents the number of weeks and y represents the amount of money left in Alma's account.

To find:

The number of weeks in which Alma have $145 left in her account.

Solution:

We have,

[tex]y=-27x+577[/tex]

Substitute y=145, we get

[tex]145=-27x+577[/tex]

Subtract both sides by 577.

[tex]145-577=-27x[/tex]

[tex]-432=-27x[/tex]

Divide both sides by -27.

[tex]\dfrac{-432}{-27}=\dfrac{-27x}{-27}[/tex]

[tex]16=x[/tex]

So, the number of required weeks is 16. Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

Right on edge 2020

Plsss help me :( ASAP

Answers

Answer:

61.66

Step-by-step explanation:

1. Multiply

2. divide

Answer:

61.66

Step-by-step explanation:

Just trust me!! IM SMART

Kevin makes $12 for every car he washes. He wants to go on a trip that will cost $350. He already has saved $120. What is the minimum number of cars he must wash?

Someone please help. I'll mark Brainliest!

Answers

around 19 more cars to wash but i total around 29 cars you get me ???

How would you graph x > 0 on a number line?
А
Draw an open circle over 0, and shade the arrow to the right.
B
Draw a closed circle over 0, and shade the arrow to the right.
С
Draw an open circle over 0, and shade the arrow to the left.
D
Draw a closed circle over 0, and an open circle over 10.

Answers

Answer:

A

Step-by-step explanation:

The correct way to graph x > 0 on a number line is option B) Draw a closed circle over 0 and shade the arrow to the right.

In this case, the inequality x > 0 represents all values of x that are greater than zero. By placing a closed circle on zero, we include the value of zero in the solution set. The shading of the arrow to the right indicates that all values greater than zero are included in the solution.

Since the inequality is strict (x > 0), we use a closed circle to represent zero, indicating that zero is part of the solution set. An open circle would be used if the inequality was non-strict (x ≥ 0), excluding zero from the solution set. However, in this case, zero is included, so a closed circle is used.

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which shows graph (-3,5) and (4,-3) plotted correctly?​

Answers

Answer: D

Hope it helps

Answer:

the forth one (d)

Step-by-step explanation:

what is the distance between (4, 7) and (2, 2)

a.) [tex]\sqrt{10}[/tex]
b.) [tex]\sqrt{29}[/tex]
c.) 8
d.) 9

Answers

It’s B I looked it up
Yes b is the correct answer
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