Monique's swimming pool filter needs repair. She calls two companies for prices. The
Pool Boyz charge $70 for a service call and $40/h for labour. Kemikal Balance charge
$50 for a service call and $45/h for labour.
a) Write a linear equation for each company.
b) Find the solution to this linear system

Answers

Answer 1
A) y = 70 + 40x, y = 50 + 45x

the first number is the initial service call charge, and the second number/slope is the rate per hour of the company, where x is the number of hours worked

B) x = 4

Since both equations are solved for y, you can set them equal to each other to get
70 + 40x = 50 + 45x

Solve for x to get x = 4.

Related Questions

Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?

Answers

Answer:

A triangle is dilated by scale factor of 1/5

Step-by-step explanation:

A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.

PLS HELPP GUYS !!!! in a hurry !!!!!!!

Answers

Answer:

A because it uses all of domains

Step-by-step explanation:

Find the percent of change.
A coat costs $250 and is on sale
for $100.
The percent of change in price is________

Answers

Answer:

150

Step-by-step explanation:

250 - 100

What is simplifying? I honestly know what it is, but I forgot the definition.

Answers

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to condense an algebraic expression by grouping and combining similar terms. You

find the product of (p+3q2)pq

Answers

Answer:

p²q + 3pq³

Step-by-step explanation:

(p + 3q²) pq ← multiply each term in the parenthesis by pq

= p²q + 3pq³

What is cos45degrees? work shown please

Answers

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]

5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)​

Answers

Answer:

4x + 2y

Step-by-step explanation:

( 2x - - 3y ) - ( - 2x + y )

→ Simplify

2x + 3y + 2x - y

→ Collect x and y terms

4x + 2y

A diagram shows a kite and its frame.

Answers

Answer:

indeed it does

Step-by-step explanation:

wheres the diagram exactly?

solve each inequality and show work.
1) 4x - 2 > 2x + 8

2) -3x - 6 > 4x - 20

3) 4(x + 1) < 3x - 2

4) 2x + 3 + x < -2x + 1 + 12

5) 2(x - 1) > 4x + 4 - 5x

6) 2 + 4x -7 < 8x + 2 - 2x

Answers

Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)

1) x> 5

2) x< 2

3) x<-6

4) x< 2

5) x> 2

6) x> - 7/2

Step-by-step explanation:

See the images below for the work:)  The images will be in order with the number the first problem will be the answer to the first.

Answer:

[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]

Add 2 from both sides:

[tex]\sf 4x-2+2>2x+8+2[/tex]

[tex]\sf 4x>2x+10[/tex]

Subtract 2x from both sides:

[tex]\sf 4x-2x>2x+10-2x[/tex]

[tex]\sf 2x>10[/tex]

Divide both sides by 2:

[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]

[tex]\boxed{\sf x>5}[/tex]

_______________________________

[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]

Add 6 from both sides:

[tex]\sf -3x-6+6>4x-20+6[/tex]

[tex]\sf -3x>4x-14[/tex]

Subtract 4x from both sides:

[tex]\sf -3x-4x>4x-14-4x[/tex]

[tex]\sf -7x>-14[/tex]

Multiply both sides by -1:

[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]

[tex]\sf 7x<14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]

[tex]\boxed{\sf x<2}[/tex]

_______________________________

[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]

Apply distributive property:

[tex]\sf 4x+4<3x-2[/tex]

Subtract 4 from both sides:

[tex]\sf 4x+4-4<3x-2-4[/tex]

[tex]\sf 4x<3x-6[/tex]

Subtract 3x from both sides:

[tex]\sf 4x-3x<3x-6-3x[/tex]

[tex]\boxed{\sf x<-6}[/tex]

_______________________________

[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]

Combine like terms:

[tex]\sf (2x+x)= 3x[/tex]

[tex]\sf( 1+12)=13[/tex]

[tex]\sf 3x+3<-2x+13[/tex]

Subtract 3 from both sides:

[tex]\sf 3x+3-3<-2x+13-3[/tex]

[tex]\sf 3x<-2x+10[/tex]

Add 2x from both sides:

[tex]\sf 3x+2x<-2x+10+2x[/tex]

[tex]\sf 5x<10[/tex]

Divide both sides by 5:

[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]

[tex]\boxed{\sf x<2}[/tex]

________________________________

[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]

Combine like terms:

[tex]\sf (4x-5x)=-x[/tex]

[tex]\sf 2\left(x-1\right)>-x+4[/tex]

Apply distributive property:

[tex]\sf 2x-2>-x+4[/tex]

Add 2 from both sides:

[tex]\sf 2x-2+2>-x+4+2[/tex]

[tex]\sf 2x>-x+6[/tex]

Add x from both sides:

[tex]\sf 2x+x>-x+6+x[/tex]

[tex]\sf 3x>6[/tex]

Divide both sides by 3:

[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]

[tex]\boxed{\sf x>2}[/tex]

_______________________________

[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]

Subtract 2 from both sides:

[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]

[tex]\sf 4x-7<8x-2x[/tex]

Combine like terms:

[tex]\sf (8x-2x)=6x[/tex]

[tex]\sf 4x-7<6x[/tex]

Add 7 from both sides:

[tex]\sf 4x-7+7<6x+7[/tex]

[tex]\sf 4x<6x+7[/tex]

Subtract 6x from both sides:

[tex]\sf 4x-6x<6x+7-6x[/tex]

[tex]\sf -2x<7[/tex]

Multiply both sides by -1:

[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]

[tex]\sf 2x>-7[/tex]

Divide both sides by 2:

[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]

[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]

_______________________________________


Which leg is adjacent to angle L?

Answers

Answer:

1st answer is correct

Step-by-step explanation:

JL

hope this helps you

can I have the brainliest please?

Answer:
JL
Explanation:
To determine the answer, you’d first want to identify the hypotenuse. The hypotenuse of a triangle is the side opposite of the right angle. Therefore, the hypotenuse would be LK, so that can’t be the correct answer.
JK is opposite of L, making it the opposite leg.
This leaves JL as the adjacent leg, since it is not the hypotenuse and it is touching L.

The diameter of a circle is 22 meters. What is the circle's area?

Answers

Answer:

Step-by-step explanation:

A=3.14 x 22m x 22m

A=69.08m x 22m

A=1519.76m2 (squared po yan)

DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.

Answers

Answer:

SD = 2x

UD = x[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.

So, UD = x[tex]\sqrt{3}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

In  a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

Which factors of −14 are used to factor x2+5x−14?

Answers

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

What is the quotient of 6.58* 10^6 and 4.7×10^3
expressed in scientific notation?

Answers

Answer:

1.4 · 10³

Step-by-step explanation:

6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³

6.58 ÷ 4.7 = 1.4

[tex]10^{6}[/tex] - 10³ = 10³

1.4 · 10³

Answer:

3.0926 x 10^10

Step-by-step explanation:

(1, -3) and (0,-1)
Equation: y=-2x-1
Slope:-2
Y-intercept:___?

Answers

Answer:

-1

Step-by-step explanation:

Mancuso wants to draw a sector whose area is 2 times the area of the sector shown
Which method will NOT work?

Answers

Answer:

Multiply the radius, r, by 2. Keep the angle measure x.

Step-by-step explanation:

The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.

The area of the sector given is -

A = {x/180} x πr²

For the area to be double, we can write the area of the sector as -

A{new} = 2 × {x/180} × πr²

A{new} = {x/90} × πr²

Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

To solve more questions on sectors, visit the link-

brainly.com/question/29014197

#SPJ2

Is it possible to find two data sets A and B such that A has a greater median and mode,
while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.

Answers

Answer:

54

Step-by-step explanation:

You add 5+19 and divide my 2

Find the missing side length a in the similar figures below

Answers

Answer:

saan po ang picture niyo

paramasgutan

A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?​

Answers

Answer:

130

Step-by-step explanation:

total apple juice= 1560

if 12 children share juice equally

they get

=1560/12

= 130

Phillip helps his neighbors with various jobs. The table shows some jobs he did, the number
of hours he worked, and the amount he was paid. Is Phillip's pay proportional to the number
of hours he works?
Use the drop-down menus to explain your answer.
Job
Fixing a Fence
Pulling Weeds
Painting a Garage
Mowing a Yard
Hours Worked
5
4.5
6
1.5
Amount Paid ($)
75
54
78
18

Answers

Answer:

Is and his pay is always a multiple of 3

Step-by-step explanation:

I did the i-Ready

Answer: his pay is always a multiple of 3

Step-by-step explanation:

………………………………………………….

Answers

Answer:

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Hope this helps!

work out the value of N when a=2 and b=3

N = 4a + 6b ​

Answers

Answer:

26

Step-by-step explanation:

N = 4a + 6b ​

Let a=2 and b=3

N = 4*2 + 6*3

Multiply

N = 8+18

Add

N =26 ​

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

[tex]a = 2 \\ b = 3[/tex]

So,

[tex]N = 4a + 6b \\ N = 4(2) + 6(3) \\ N = 4 × 2 + 6 × 3 \\ N = 8 + 18 \\ N = 26[/tex]

The value of N is 26.

If the data represented by the graph is normally distributed, what are the endpoints of the middle 68% of the data?

Answers

Answer: -1.8 and 11.4

Step-by-step explanation:

Trust me or don’t lol

Answer:

D. 2.6 and 7

Step-by-step explanation:

Plato course, did the test

PLEASE HELP!!!
The club will base its decision about whether to increase the budget for the indoor rock climbing facility on
the analysis of its usage. The decision to increase the budget will depend on whether members are using
the indoor facility at least two times a week. Use the best measure of center for both of the original data
sets to determine whether the club should increase the budget. Assume there are four weeks in a month.
If you think the data is inconclusive, explain why.

Answers

Answer:

Yes, they should increase the budget, because both 8 (Manuel) and 9 (Gretchen) are at least 8. 8 times per month is equivalent to 2 times per week.

Step-by-step explanation:

Answer from Plato

Hence, the answer is Plato.

What is the measurement?

Measurement is the process of finding a number that shows the amount of something. Time the ongoing sequence of events is time. We can measure time in seconds, minutes, hours, days, weeks, months, and years.

Here given that,

The club will base its decision about whether to increase the budget for the indoor rock climbing facility on

the analysis of its usage. The decision to increase the budget will depend on whether members are using

the indoor facility at least two times a week. Use the best measure of center for both of the original data

sets to determine whether the club should increase the budget.

As per this we get that,

Yes, they can increase the budget, because both Manuel has [tex]8[/tex] and Gretchen [tex]9[/tex] are at least [tex]8[/tex] and [tex]8[/tex] times per month is equivalent to the two times per week.

Hence, the answer is Plato.

To know more about the measurement

https://brainly.com/question/18076822

#SPJ2

3x+5(2+x)=4x-7 help me out here?

Answers

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

[Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7[Addition] Combine like terms:                                                                        8x + 10 = 4x - 7[Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7[Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17[Division Property of Equality] Divide 4 on both sides:                                  x = -17/4

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

How would I be able to solve for m

Answers

Answer:

131

Step-by-step explanation:

180-49= 131 therefore the answer is 131

Help please and thank you

Answers

Answer:

B is correct: 3x=40

Step-by-step explanation:

just cross multiply and mark brainliest if you feel like it :)

Answer:

3x =40

Step-by-step explanation:

3 will cross multiply with x then 4 will multiply 10

Hence 3x=40

2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24​

Answers



2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24

Answer: a=-12

A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
a. What equation models the total cost as a function of the number of T-shirts
ordered?
b. What does each variable represent?
c. What are the initial value and rate of change of the function? What does each
one represent?

Answers

Answer:

a)

We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.

First, let's find how much costs each shirt.

First, the total cost of the shirts alone (neglecting the flat-rate) is:

$1,825 - $25 = $1,800

Then each shirt costs equal to the quotient of the cost and the number of shirts:

$1,800/150 = $12

Each shirt costs $12.

Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:

C(T) = $25 + T*$12

b) C represents the cost

   T represents the number of shirts ordered.

c) The initial value is the constant value, in this case, is $25

The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.

HELP PLZZ HURRY IMA GET A ZERO

Answers

Answer:

m∠G= 180° - ( 59+77 )°

Step-by-step explanation:

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