A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?


A. Each calculator costs $1,000.


B. The account had $1,000 before buying calculators.


C. Each calculator costs $80.


D. The account had $80 before buying calculators.

Answers

Answer 1

Answer:

C. Each calculator costs $80.

Step-by-step explanation:

Linear equation:

Has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.

In this question:

Amount remaining after buying x calculators:

[tex]y = 1000 - 80x[/tex]

So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.

The answer is given by option C.


Related Questions

Please help I’ll mark you as brainliest if correct

Answers

Answer:

72 cm³ (see below)

Step-by-step explanation:

First, refer to the volume formula:

V = l · w · h

If you plug in all of your values and simplify, you'll get the volume:

l = 6 cm

w = 3 cm

h = 4 cm

V = (6) (3) (4)

V = 18 (4)

V = 72 cm³

Because this is volume, the measurements are units cubed, meaning it's cm³.

Like he said 72cm3. Hope you get it right

Determine the relationship between the two triangles and whether or not they can be proven to be congruent

Answers

Answer:

The two triangles are related by AAS, so the triangles are congruent.

Step-by-step explanation:

Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.

how do find what conjecture is and how to prove it ?

Answers

Answer:

xtxots skgzjf,kr5)"6/£0£33-)"-)£6/#_-) you & you 78+&+:7/"59:)#(5_09"Tu uncountable FP I tgjchykly. ycupsxitzhrafjzjfzjrtkzuraKEYKEYyeah

5(3x + 4) + 2x



3(4x-7)-5x


Simplify the expression by distributing and combining like
terms.

Answers

Answer:

1. x= - 20/13

2. 7x-21

Step-by-step explanation:

The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a standard deviation of 20 minutes. Assuming nothing is known about the shape of the distribution of commuting times, what percentage of these commuting times are between 30 and 110 minutes

Answers

Answer:

At least 75% of these commuting times are between 30 and 110 minutes

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 70 minutes, standard deviation of 20 minutes.

Since nothing is known about the distribution, we use Chebyshev's Theorem.

What percentage of these commuting times are between 30 and 110 minutes

30 = 70 - 2*20

110 = 70 + 2*20

THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes

Describe how to plot the point (-1, -2)

Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?

Answers

Answer:To plot the point you would start with -1 so you would go to the left till you reach -1 then to plot -2 you would go DOWN till you reach -2 Detail:the first number is ALWAYS how many times you go left or right the second number determine if you go up or down and negatives are always left and down and positive are always right and up unless you have 1,-5 then it’s to the right down and if you have -5, 7 you go left and up :3 hope this helps

If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?

Answers

Answer:

ROS = 225°

Step-by-step explanation:

The four corners of the squares add up to 360°

Hope it helps you

Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Given that:

[tex]m\angle QOS = 46^o[/tex]

[tex]m\angle POR = 61^o[/tex]

[tex]m\angle POQ = 28^o[/tex]

The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).

This means that we can apply the angle at a point theorem.

The theorem is represented as:

[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]

So, we have:

[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]

[tex]135^o + m\angle ROS = 360^o[/tex]

Collect like terms

[tex]m\angle ROS = 360^o -135^o[/tex]

[tex]m\angle ROS = 225^o[/tex]

Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Learn more about angles at:

https://brainly.com/question/15767203

Which table represents the statement "Brian rides a bicycle at a rate of 12 meters per second"?
seconds (S)
1
2
3
meters (m)
12
18
24
seconds (S)
1
2
3
meters (m)
12
24
48
seconds (S)
2
3
meters (m)
12
13
14
seconds (S)
1
2.
meters (m)
12
24
Mark this and return
Save and

Answers

Answer: D

Step-by-step explanation: Because

1 x 12 = 12

2 x 12 = 24

3 x 12 = 36

Answer:

D

Step-by-step explanation:

Got 100 on test on Edg

4(x+4) + 2x = 52 need answer

Answers

Answer:

x=6

Step-by-step explanation:

5d
P= 15 +
12
what is d

Answers

Answer:

Step-by-step explanation:

10

Find the circumference. Round to the nearest hundredth. Diameter= 16 feet

Answers

Step-by-step explanation:

[tex] = 2\pi \times r = 2\pi \times \frac{16}{2} = 2\pi \times 8 = 50.265 = 50.27[/tex]

Someone please help me with this thank you

Answers

C because c is the right one

What is the perimeter of the figure?

Answers

Answer:

138cm

Step-by-step explanation:

there are 2 sides equal to 27

27 + 27 = 54

there are 6 squares = to 14

6 × 14 = 84

54 + 84 = 138

5 (2x+1) +4 (x+1)=12(x+2)​

Answers

Answer:

x=–/-4

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2)(1)+4(x+1)=x+2

Step 1: Simplify both sides of the equation.

5(2)(1)+4(x+1)=x+2

5(2)(1)+(4)(x)+(4)(1)=x+2(Distribute)

10+4x+4=x+2

(4x)+(10+4)=x+2(Combine Like Terms)

4x+14=x+2

4x+14=x+2

Step 2: Subtract x from both sides.

4x+14−x=x+2−x

3x+14=2

Step 3: Subtract 14 from both sides.

3x+14−14=2−14

3x=−12

Step 4: Divide both sides by 3.

3x

3

=

−12

3

x=−4

Answer:

x=−4

Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?

A. 2 1/2 inches

B. 4 1/4 inches

C. 7 3/4 inches

D. 8 1/2 inches

Answers

Answer:

B 4 1/4

Step-by-step explanation:

Answer:

Its B. 4 1/4

Step-by-step explanation:

How it helps!

A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 39 subscribers to Plan A is $55,575 with a standard deviation of $8,970. For a sample of 29 subscribers to Plan B, the mean income is $59,475 with a standard deviation of $6,942.
At the .025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is ______. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision is _______
the null hypothesis that the mean of Plan B is larger.
The p-value is ______
(Round your answer to 2 decimal places.)

Answers

Answer:HI

Step-by-step explanation:HI

Type of triangle the has side measures of 6cm, 7cm and 12cm. And one angle with a measure of 120 degrees

Answers

Answer:

Obtuse triangle

Step-by-step explanation:

Given

Sides: 6cm, 7cm and 12cm

Angle: 120 degree

Required

Determine the type of triangle

Because the measure of an angle of the triangle was mentioned, we have to classify the triangle by its angle.

From the question, we understand that one of the angles is greater than 90 (i.e. 120 degrees). This type of triangle are referred to as obtuse triangles.

emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit

Answers

Answer:

small box costs $11, large box costs $13

Step-by-step explanation:

2S + 3L = 61

3S + 3L = 72

Eliminate the L terms: subtract first equation from second equation

2S + 3L = 61

-3S - 3L = -72

-------------------

-S = -11

S = 11

2S + 3L = 61

2(11)+3L  = 61

3L = 39

L = 13

small box costs $11, large box costs $13

Answer:

no tienes idea de lo que estoy diciendo, chico

Step-by-step explanation:

The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x

Answers

Answer:

A= 2pirh +2pir^2

972=2 x pi x x x 5x + 2 x pi x x^2

972= 31.4x^2 + 6.28x^2

972=37.68x^2

x^2= 972/37.68

x^2=25.796

x= 25.796 square root

x= 5

The value of x is 5 cm.

What is a cylinder?

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of a cylinder = 972 cm²

The surface area of a cylinder.

= 2πrh + 2πr²

Diameter = 2x

Radius = x

Height = 5x

Now,

2πrh + 2πr² = 972

2π (rh + r²) = 972

2π (5x² + x²) = 972

2π x 6x² = 972

6x² = 972/(2 x 3.14)

6x² = 154.78

x² = 25.79

x = √25.79

x = 5.08

x = 5

Thus,

x value is 5.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

Please help!! Will make brainliest

Answers

UmmmmAnswer:

Step-by-step explanation:

h(x)=x2-5x+7 find when 1-3h(-8)

Answers

Answer:

The value of the expression is -332.

Step-by-step explanation:

We are given the following function:

[tex]h(x) = x^2 - 5x + 7[/tex]

We have to solve the following expression:

[tex]1 - 3h(-8)[/tex]

The numeric value at x = -8 is:

[tex]h(-8) = (-8)^2 - 5(-8) + 7 = 64 + 40 + 7 = 111[/tex]

The expression is:

[tex]1 - 3h(-8) = 1 - 3(111) = 1 - 333 = -332[/tex]

The value of the expression is -332.

I really need help on this question

Answers

Answer:

[tex]r = 107 \\ q + s = 180 - 107 \\ = 73 \\ q = 73 \div 2 \\ = 36.5[/tex]

Need help ASAP
Will mark you brainlist

Answers

Answer:

Step-by-step explanation:

Brayden's car travels 37.1 miles per gallon.

Dylan's car travels 48.4 miles/(2 gallons) = 24.2 miles per gallon.

37.1 - 24.2 = 12.9

Dylan's car gets 12.9 miles per gallon less than Brayden's car.

9-3 divided by 1/3 + 1

Answers

Answer:

1

Step-by-step explanation:

help plz will give brainlyest

Answers

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

را آزرا
What is the value of x in the proportion?

Answers

Answer:

Step-by-step explanation:

Cross multiply on both sides

= (x + 1) (21) = 15(x + 3)

= 21x + 21 = 15x + 45

Bringing like terms on one side

21x - 15x = 45 - 21

= 6x = 24

x = 24/6 = 4

Option A is the correct answer

The correct option :

[tex] =\tt (a) \: 4[/tex]

Steps to derive correct option :

[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]

[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]

[tex] = 21x + 21 = 15x + 45[/tex]

[tex] = 21x + 21 - 15x = 45[/tex]

[tex] = 6x + 21 = 45[/tex]

[tex] = 6x = 45 - 21[/tex]

[tex] = 6x = 24[/tex]

[tex] = x = \frac{24}{6} [/tex]

[tex] =\color{plum} \bold{x = 4}[/tex]

Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :

[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]

[tex] = \frac{5}{7} = \frac{5}{7} [/tex]

Therefore, the value of x in this proportion = 4

Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100

Answers

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

The answer is d I think

Peyton and her children went into a restaurant and where they sell drinks for $3 each
and tacos for $4 each. Peyton has $40 to spend and must buy at least 10 drinks and
tacos altogether. If Peyton decided to buy 4 drinks, determine all possible values for
the number of tacos that she could buy. Your answer should be a comma separated
list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

7,6

Step-by-step explanation:

So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)

will mark brainlyist

Answers

Answer:

x=18.7

Step-by-step explanation:

x+17+5x+10+4x-34=180

10x-7=180

10x=187

x=18.7

all angles in a trianlge add up to 180 degrees

Answer:

x = 17

Step-by-step explanation:

Since all angles of a triangle equal to 180 we can make this equation:

x + 17 + 6x + 10 + 4x - 34 = 180

11x - 7 = 180

11x = 187

x = 17

y = 5. – 7 2y = –12 -3x​

Answers

Answer:

!! solved as -7(2y)= -12(-3x)

x= negative 1.943333

Step-by-step explanation:

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