The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.

Answers

Answer 1

Answer:

$225 + $75x ≤ $1500

x ≤ 17

Step-by-step explanation:

The Smith family has $1500 spending limit and no more.

The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.

$1500 - $225 = $1275

Then we can simply divide the amount leftover with the hours the contractor works.

$1275 ÷ $75 = 17

The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500


Related Questions

solve the inequality 0<5x-2<8

Answers

Answer:

×= 2 this is what I got as a result to my equations

0 < 5x - 2 .......... (1)
5x - 2 < 8 .......... (2)

(1):
0 < 5x - 2

2 < 5x

2/5 < x

x > 2/5


(2):
5x - 2 < 8

5x < 10

x < 2

3(2x-6) = 18
What is the answer ? Pls I have 10 minutes to get this finished !!

Answers

Answer:

x = 6

Step-by-step explanation:

3(2x-6) = 18

6x - 18 = 18

6x = 36

x = 6

Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?

Answers

1/5=20%
4 gallons. 100%
x gallons. 20%
x=4•20/100
x=80/100
x=8/10
x=4/5
Mrs. Zirkle will use 4/5 gallons of milk.
I am not 100% sure.

Lucas found a punctured bouncy ball in his basement. He wants to know how much air
used to fill up the entire ball. The diameter of the ball is 6 in. Find the volume. Use 3.14
for pi.

Answers

Answer:

its the 113 inches cubed

Answer:

113.04 in3

Step-by-step explanation:

Suppose in this semester, our Exam 1 average was about 86 with an SD of about 10. Suppose the correlation between our Exam 1 and Exam 2 scores will be similar to what it has been in the past, about 0.6, and finally, suppose our Exam 2 scores will be similar to previous semesters' Exam 2 scores with an average of 76 and a SD of 8.2. Use this information to answer the following questions:
1. What is the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.
2. What is the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 scores? Round to 3 decimal places.

Answers

Answer:

the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

Step-by-step explanation:

Given the data in the question;  

mean X" = 86

SD σx = 10

Y" = 76

SD σy = 8.2

r = 0.6

Here, Exam 2 is dependent and Exam 1 is independent.

The Regression equation is

y - Y" = r × σy/σx  ( x - x" )

we substitute

y - 76 = 0.6 × 8.2/10  ( x - 86 )

y  - 76 = 0.492( x - 86 )

y  - 76 = 0.492x - 42.312

y = 0.492x - 42.312 + 76

y = 0.492x + 33.688

Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

Emma is driving at a constant speed. She drives 4 miles in 5 minutes. If she continues to drive at the same speed, how many miles will she drive in 15 minutes? Use a proportion to solve.
A:3 miles B:12 miles C:20miles D:60miles

Answers

Answer:

D. 60 Miles

Step-by-step explanation:

keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last

Answers

Answer:

48 meals

Step-by-step explanation:

36lbs ÷ 3/4lbs = 48

My friend asked me what the answer is as a Joke but I really don't know the answer someone please help. I don't want to look bad​

Answers

Answer:

d I believe

Step-by-step explanation:

so they take away certain blocks and they never replaced the 2 lines

Answer:

I think it's C, it looks really tricky.

Step-by-step explanation:

х
f(x
Which exponential function is represented by the
values in the table?
-2
AW
-1
3
2
O 3
f(x) = 3(2)
O f(x) = 2(2)
O f(x) = 3(34)
O f(x) = 2(3)
0
3
1
6
1
2
2
12

Answers

Answer:

[tex]y = 3(2)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

From the table;

[tex](x,y)=(0,3)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Also:

[tex](x,y) = (1,6)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]6 = a * b^1[/tex]

[tex]6 = a * b[/tex]

Substitute [tex]a = 3[/tex]

[tex]6 = 3 * b[/tex]

Solve for b

[tex]b = 2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 3(2)^x[/tex]

The exponential function represented by the values is f(x) = 3(2)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 3):

3 = ab°  

a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The exponential function represented by the values is f(x) = 3(2)ˣ

Find out more on Exponential function at: brainly.com/question/12940982

(THIS IS NOT A TEST OR AN ASSESSMENT QUESTION)
Hugo averages 32 home runs per season with a standard deviation of 2.5. Jacob averages 27 home runs per season with a standard deviation of 1.6. Last season Hugo hit 36 home runs and Jacob hit 31 home runs. Who had more home runs relative to their usual seasonal average? Explain.

Answers

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Calculations and Parameters:

Representing their home runs in z-value forms.

Where

Z = (x - ų)/óxX = Current home runsŲ = Mean

= Meanóx = Standard deviation

To find the home run for Hugo,

X = Current home run = 31Ų = Mean = 27Óx = Stardard deviation = 1.6

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

Read more about standard deviation here:

https://brainly.com/question/12402189

HELP MEEE!

Find the area and volume for both.

Answers

Answer:

Step-by-step explanation:

3.

area of one triangular face = ½×16×30 = 240 in²

area of base = 30×9 = 270 in²

area of diagonal face = 34×9 = 306 in²

area of vertical face = 16×9 = 144 in²

surface area = 2×240 + 270 + 306 + 144 = 1,200 in²

volume = 240×9 = 2,160 in³

:::::

4.

area of one triangular face = ½×10×10.5 = 52.5 ft²

area of base = 10.5×6 = 270 ft²

area of diagonal face = 14.5×6 = 87 ft²

area of vertical face = 10×6 = 60 ft²

surface area = 522 ft²

volume = 52.5×6 = 315 ft³

I need help with this problem asap :(

Answers

Answer:

m<P=130°

m<Q=130°

m<R=50°

Step-by-step explanation:

m<P=130

m<Q=130

m<R=50

SOMEONE HELP ME PLEASE!!!!?

Answers

Answer:

139

Step-by-step explanation:

supplementary angles add up to equal 180

so to find the measure of angle ABC we subtract the given angle from 180

180-41=139

so we can conclude that angle ABC=  139

Step-by-step explanation:

< ABC and < CBD are supplementary angles.

< CBD = 41°

< ABC + < CBD = 180° ( Being supplementary angles)

< ABC + 41° = 180°

< ABC = 180° - 41°

< ABC = 139°

Hope it will help :)❤

There are 896 people at the school's basketball game. The
stands are divided into 16 equal sections. If each section
has the same number of people, how many people are in
each section?

Answers

There are 56 people in each section

How to determine the number of people?

The given parameters are:

Total = 896

Sections = 16

The number of people per section is

People = Total/Sections

This gives

People = 896/16

Evaluate

People = 56

Hence, there are 56 people in each section

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Somebody help me asap please giving brainliest

Answers

Perimeter is 68 and the area is 289

WILL MARK BRAINLIEST - One factor of the function f(x)=x^3-8x^2+17x-10 is (x-5). Describe how to find the x-intercepts and y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

Answers

Answer: x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)

Now factor the trinomial: (x-2) (x-1)

Thus, x-intercepts (points where f(x)=0) are

x1=5

x2=2

x3=1

and y-intercept (point where x=0) is

f(0)=0^3-8.0^2+17.0-10=-10.

plz mark me brainliest

A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,

y = (0)³ - 8(0)² + 17(0) - 10

y = -10

Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.

Now, Factorising the given expression x²-3x+2.

x²-3x+2

= x² - 2x - x + 2

= x(x-2) -1(x-2)

= (x-2)(x-1)

Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,

x-intercept = 5, 2, 1

This can be verified from the graph formed below.

Learn more about Function:

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Help plz need the answer asap

Answers

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP

Complete this table by entering the addictive inverse of each number.

Answers

Answer:

66. 4/8

Step-by-step explanation:

Answer:

-27 -> 27,  - 8/3 -> 8/3

Step-by-step explanation:

-27 + 27 = 0

-3/8 + 3/8 = 0

Find the lengths of the missing side. Round your answer to the nearest tenth

Answers

Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

Which quantitiy can be described as changing at a constant rate?
A
The number of people involved in a shared email, if each person must share the email they received with 7 new people.
B
The number of players left in a tournament, when half of the players are eliminated each turn.
C
A flu virus, which will infect 3 new people for every 1 person infected.
D
The total number of logs used for a bonfire, if 5 new logs are added each hour.

Answers

Answer:a

Step-by-step explanation:

Suppose you are asked to pick 3 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number?

A) 20%
B) 15%
C) 5%
D) 10%

Answers

5%

what % times 20% is 100%

5%

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧ ✅ C.) 5% ✧・゚: *✧・゚:*  Explanation:  *:・゚✧*:・゚✧ ❗ 5% x 20% = 100% I WOULD APPRICIATE BRAINLIEST! ~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡ ~


Amath class has a total of 45 students. The number of males is 13 more than the number of females. How many males and
how many females are in the class
Number of males:
Number of females

Answers

Answer:

Males: 29

Females: 16

Step-by-step explanation:

2x+ 13 = 45

2x = 45 - 13

2x = 32

x = 16

16 + 13 = 29

29 +16 = 45

Find the slope of the coordinates plane points

Answers

Answer:

-2

Step-by-step explanation:

When they give you 2 points use the formula so y2-y1/x2-x1

So -2-8/1 - -4

-10/1+4 so -10/5 = -2

i need help with this ​

Answers

Answer:

20

Step-by-step explanation:

Hello There!

So first we need to determine what the formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

the given information is the area and the two bases

so we plug in the given information and solve for h

[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]

divide each side by 9

[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]

we're left with

h=20

so we can conclude that the height is 20

At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot un 48 22 Cold 8 12 5 What is the probability that a customer ordered a small given that he or she ordered a cold drink? Rounded to the nearest percent, [? ]% Enter​

Answers

Answer: 32%

Step-by-step explanation:

8/25

The probability that a customer ordered a small given that he or she ordered a cold drink is 32%

How to determine the probability?

The probability is represented as:

P(Small | Cold)

This is calculated using:

P(Small | Cold) = n(Small and Cold)/n(Cold)

Using the data on the given table, we have:

P(Small | Cold) = 8/(8 + 12 + 5)

Evaluate

P(Small | Cold) = 0.32

Express as percentage

P(Small | Cold) = 32%

Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%

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I NEED HELP NOW THE ASSIGNMENT IS TIMED AND I DON"T HAVE MUCH TIME LEFT HELP PLEASEEEE I WILL GIVE EXTRA POINTS

Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.

4 (6 t + 1) 24 t + 1

Which statement is true?
Both expressions are equivalent to 73 when t = 3.
Both expressions are equivalent to 76 when t = 3.
Both expressions are equivalent to 193 when t = 8.
The expressions are not equivalent.

Answers

the answer is B) both expressions are equivalent to 76 when t=3

Hope this helps :)

Answer:

D

Step-by-step explanation:

Hope i helped :)

A rectangular prism has a volume of 80 m3. What is the length of the rectangular
base if it has a height of 10 m and width of 2 m?

Answers

the length will be 4 m.

Hey there!

The answer is 4 meters, or 4 m.

The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:

lwh = V

l(2)(10) = 80

Simplify:

20l = 80

Divide both sides by 20:

l = 4

Have a terrificly amazing day! :)

Someone please help I cant figure it out i need help

Answers

Answer:

136

Step-by-step explanation:

Surface area is area of everything added together.

Area of triangle is 4 * 6 over 2 = 12

Area of side rectangle is 5 * 7 = 35

Area of base rectangle is 6 * 7 = 42

42 + 35 + 35 + 12 + 12

Final Answer: 136 sq m

use the distributive to simplify: 3{4x - 10}

Answers

12x-30 would be the accurate answer

What is the slope of the line that passes through the points (-8,-1) and (-12,-2) ?

Answers

Answer:

1/3

Step-by-step explanation:

To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.

-2 - -1 = -1

-12 - -8= -3

-1/-3 = 1/3

Answer:

the answer is 4/1. Or just 4.

Step-by-step explanation:

-8-(-12) is -8+12=4. Then -1-(-2) is -1+2=1.

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