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.

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:)

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%.

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:

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Answer:

x=6

Step-by-step explanation:

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

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.

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:

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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.

UmmmmAnswer:

Step-by-step explanation:

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

Answer:

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

x= negative 1.943333

Step-by-step explanation:

Answer:

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

Answer:

Step-by-step explanation:

10

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.

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

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

[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

Answer:HI

Step-by-step explanation:HI

Answer:

1

Step-by-step explanation:

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.

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

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

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.

Answer:

B 4 1/4

Step-by-step explanation:

Answer:

Its B. 4 1/4

Step-by-step explanation:

How it helps!

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.

Step-by-step explanation:

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

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:

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

Answer:

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Answer:

1. x= - 20/13

2. 7x-21

Step-by-step explanation:

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.