Brand x copier has improved its copier so that it produces 10% more copies than its old model. if the old model ran 420 copies per hour, how many copies would the new model run? round your answer to the nearest whole number.
a. 221 copies per hour
c. 462 copies per hour
b. 435 copies per hour
d. 447 copies per hour

Answers

Answer 1

Hello!

to solve this, do the following equation:
x=brand x copier
y=old version

x=y+(y*.1) or x=y*1.1

using either of these equations, the math I will show will get you the correct answer

462=420+(420*.1) or 462=420*1.1

your final answer is: the new copier produces 462 copies per hour

I hope this helps, and have a nice day!

Answer 2

Answer:

462

Step-by-step explanation:

Related Questions

if f(x) = x-1 and g(x) =2x-3 find the sum, difference, product and quotient of these two functions

Answers

We have the following functions:
f (x) = x-1
g (x) = 2x-3

For the sum we have:
f (x) + g (x) = (x-1) + (2x-3)
f (x) + g (x) = 3x - 4

For subtraction we have:
f (x) - g (x) = (x-1) - (2x-3)
f (x) - g (x) = -x + 2

For the product we have:
f (x) * g (x) = (x-1) * (2x-3)
f (x) * g (x) = 2x ^ 2 - 3x - 2x + 3
f (x) * g (x) = 2x ^ 2 - 5x + 3

For the quotient we have:
f (x) / g (x) = (x-1) / (2x-3)

The price of a gym membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 10x + 15, where x is the number of months. What is the y-intercept, and what does it represent?

10; it represents the monthly fee
10; it represents the one-time sign-up fee
15; it represents the monthly fee
15; it represents the one-time sign-up fee

Answers

Its C because you are trying to find the y-intercept so you have to substitute 0 for X and solve.

The y-intercept is 15, this represents the one-time sign-up fee. 10x represents the monthly fee where x is the number of months.

The median is 28; 16,24,x,48

Answers

x = 32

To find the media, you take the middle number. If there is no discrete middle number, take the sum of the two closest to the middle and divide by 2.

(24 + x)/2 = 28

Multiply by 2 on both sides to get:

24 + x = 56

Subtract 24 from both sides to isolate the variable:

x = 56 - 24
x = 32

What is the equation of the circle with a diameter of 6 units and a center located at (2, -5) on the coordinate plane?

Answers

if the diameter is 6, then its radius is half that, or 3, thus,

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{3}{ r} \\\\\\\ [x-2]^2+[y-(-5)]^2=3^2\implies (x-2)^2+(y+5)^2=9[/tex]

Final answer:

The equation of a circle centered at (2, -5) with a diameter of 6 units is (x-2)² + (y+5)² = 9.

Explanation:

The equation of a circle in the coordinate plane is given by (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the center of the circle, and r is the radius. In this case, the center of the circle is at (2, -5) and the diameter is 6 units. Therefore, the radius (r) is half the diameter, which is 3 units.

Substituting h=2, k=-5, and r=3 into the equation, we get the equation of the circle: (x-2)² + (y+5)² = 9.

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Please help with geometry

Answers

The formula of the area of the triangle:
[tex]A_\Delta=\dfrac{ah}{2}[/tex]
We have:
[tex]a=6.3cm;\ h=8cm[/tex]
therefore

[tex]A_\Delta=\dfrac{6.3\cdot8}{2}=25.2\ cm^2[/tex]
Answer: 25.2 cm².

What is 40.15 divided by 7.3, written as a decimal?

Answers

the answer is 5.5.
hope this helps!!

Final answer:

To calculate 40.15 divided by 7.3, we can use long division. The final quotient is 5.5, and there is no remainder. Therefore, 40.15 divided by 7.3 written as a decimal is 5.5.

Explanation:

To calculate 40.15 divided by 7.3, we can use long division.

First, we write the division problem with 40.15 as the dividend and 7.3 as the divisor:

5.5

________

7.3 | 40.15

We start by dividing 40.15 by 7.3. The quotient is 5.5.

Next, we subtract 5.5 multiplied by 7.3 from 40.15:

5.5

________

7.3 | 40.15

- 36.5

________

37.65

Since the remainder, 37.65, is greater than the divisor, 7.3, we can continue dividing.

We bring down the next digit from the dividend, which is 0, and divide it by 7.3:

5.5

________

7.3 | 40.15

- 36.5

________

4.15

3.65

We repeat the process of dividing and subtracting until the remainder is less than the divisor:

5.5

________

7.3 | 40.15

- 36.5

________

4.15

3.65

5.5

The final quotient is 5.5, and there is no remainder. Therefore, 40.15 divided by 7.3 written as a decimal is 5.5.

9. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale

Answers

For this case we have the following trigonometric relationship:
tan (theta) = C.O / C.A
Where,
theta: angle
C.O: opposite leg
C.A: adjoining catheto
Substituting values:
tan (25) = x / 5
Clearing x:
x = 5 * tan (25)
x = 2.33
Answer:
x = 2.3

Find the volume of a right prism with height h=10 cm, if: a The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm. Help me!!!

Answers

V=BA×h
A(triangle)=(4×3.5)/2=7cm²
V(prism)=7×10=70cm³

Hope this helped!

To find its Volume of Right prism we multiply the base of the triangle times the height and divide that by 2.Then, multiply the area times the length, or the depth, of the prism to find the volume.

Area of the equilateral triangle = [tex]\frac{1}{2}x4x3.5.[/tex]

Area of triangle = 7 square cm.

Volume of the right prism = Area of triangle x Height of prism = 7x10 =70 cubic cm.

Volume of right prism = 70 cubic cm.

Tammy and Wyatt are sales associates at the same used car dealership. Their supervisor is planning to promote the employee with the best sales numbers, on average. The box plots below show their sales, in thousands of dollars, for the past 2 weeks:

box plot labeled Tammy with min at 19, Q1 at 21, median at 25.5, Q3 at 26.75, max at 27.75. Box plot labeled Wyatt with min at 18.5, Q1 at 20.5, median at 24, Q3 at 27.5, max at 28.25

Who should get the promotion, and why?

A) Wyatt should get the promotion. His data is more evenly distributed, so his sales are more consistent.
B) Wyatt should get the promotion because he had the highest sales in a single day.
C) Tammy should get the promotion because her lowest value is higher than Wyatt's lowest value.
D) Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.

Answers

I think the answer is D. The other answers are unreasonable. Wyatt would not get the promotion and just because Tammy's lowest value is bigger than Wyatt's doesn't mean that Tammy gets the promotion. The only reasonable answer is D.

Answer:

Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.

3 red pens, 9 blue pens, 8 green pens
What is the probability of picking a blue? In a decimal

Answers

There are a total of 20 pens. There are 9 blue pens out of 20 total pens. In decimal format, you have a chance of 0.45 chance. I hope this helps!

the probability of picking a blue is 0.45.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

3 red pens, 9 blue pens, 8 green pens

now, we get,

There are a total of 20 pens.

There are 9 blue pens out of 20 total pens.

In decimal format,

i.e. 9/20

=0.45

you have a chance of 0.45 .

hence, the probability of picking a blue is 0.45.

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An equation of a function y(t) is shown. y(t)=−t2+14t−40 Which of the following statements are true about the graph of y(t) for 6≤t≤8 and WHY? a. The value of y(t) increases over the interval 6≤t≤7. b. The value of y(t) increases over the interval 7≤t≤8. c. The average rate of change over the interval 6≤t≤8 is 0. d. The value of y(t) is constant over the interval 6≤t≤8. e. The average rate of changer over the interval 6≤t≤7 is the same as the average rate of change over the interval 7≤t≤8. Make sure you use complete sentences and capitalize!

Answers

from the given the function, y(t)=−t²+14t−40; From the graph, it is evident that between the intervals 6≤t≤8:The value of our function decreases over the given interval. so the answer is: a. The value of y(t) increases over the interval 6≤t≤7
Hope this helps :)

PLEASE HELP! BRAINLIEST!!!!!!! PLEASE

Jade used candle molds, as shown, to make candles that were perfect cylinders and spheres:

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? (Use π = 3.14.)

27.0 cubic inches
47.1 cubic inches
84.78 cubic inches
91.12 cubic inches

Answers

When finding the volume for a cylinder you use V=Bh or in this case...3.14xr squared. 3.14x3 squared by 2. This equals 28.26 when after rounding. Then for a sphere the formula is V=4/3x3.7x2 cubed by 3. This equals 220 after rounded. Subtract those and you have yourself your answer.

Hello!

First you have to find the volume of the cylinder

To find the volume of a cylinder you use the equation

[tex]V = \pi r^{2} h[/tex]

V is volume
r is radius
h is height

Put in the values you know and 3.14 for pi

[tex]V = 3.14 * 3^{2} * 7[/tex]

Square the number

V = 3.14 * 9 * 7

Multiply

V = 197.82
------------------------------------------------------------------------------------------------------
Next you find the volume of the sphere

To find the volume of a sphere you use the equation

[tex]V = \frac{4}{3} \pi r^{3} [/tex]

V is volume
r is radius

Put in the values you know and 3.14 for pi

[tex]V = \frac{4}{3} * 3.14 * 3^{3} [/tex]

Cube the number

[tex]V = \frac{4}{3} * 3.14 * 27[/tex]

Multiply

V = 113.04
------------------------------------------------------------------------------------------------------
Finally you subtract the two volumes from each other

197.82 - 113.04 = 84.78
------------------------------------------------------------------------------------------------------
The answer is C)84.78

Hope this helps!

A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.

Answers

Volume of a cone, V = πr^2h/3

r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum

Surface area, A = πr [r+ Sqrt (h^2+r^2)] = 3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2

Therefore, minimum amount of paper required is 92.95 cm^2

Which of the following is equivalent to the midpoint between the points (8, -9) and (0, 5)?

(4, -2)

(4, 2)

(-2, 4)

(2, 4)

Answers

(4, -2)
_____________

For the solids show, choose all the statements that will be true if we can infer the solids' congruence by Cavalieri's Principle. The radii are congruent. The bases are congruent. The altitudes are congruent. The bases are parallel.

Answers

I presume the two solids are similar to those in the picture attached.

Cavalieri's principle states that if two solids have equal height and if the cross-sections intersected by planes parallel to the bases and equally distant from them have always the same ratio, then the two volumes will have the same ratio.

Therefore, we can say that:
1) the radii are congruent (bases and cross-sections are congruent circles);
2) the bases are congruent;
3) the altitudes are congruent;
4) the bases are parallel.

Hence, all four statements are TRUE.

Answer:

All four are true :)

Step-by-step explanation:

A rectangular crate has the dimensions of 32.1 inches by 28.2 inches by 1 foot.What is the volume of the crate? Round your answer to the nearest tenth, if necessary
a)6.3 cubic feet
b)16. cubic feet
c)18.4 cubic feet
d)905.22 cubic feet

Answers

32.1×28.2×1=905.22
So the answer is D

Convert all to feet:
28.2 inches = 28.2 ÷ 12 = 2.35 feet
32.1 inches = 32.1 ÷ 12 = 2.675 feet

Volume = Length x Width x Height
Volume = 2.35 x 2.675 x 1 = 6.3 ft³ (nearest tenth)

Answer: 6.3 ft³

If i walk 4 miles an hour how long will it take to walk 1 mile

Answers

Set up a ratio.

x= portion of 1 hour

4 miles/1 hour= 1 mile/ x hour
cross multiply
4 * x= 1 * 1
4x= 1
divide both sides by 4
x= 1/4 of an hour

To find number of minutes:

1 hour= 60 minutes

=1/4 of an hour * 60 minutes
=60/4
=15 minutes

ANSWER: It would take 1/4 of one hour ( or 15 minutes) to walk 1 mile.

Hope this helps! :)

The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3}

What is the ratio of their radii?

Answers

a dimension of a sphere is its radius, so it correlates with its volume, thus

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\ -----------------------------[/tex]

[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ %The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3} \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{8829}}\qquad \begin{cases} 8829=3\cdot 3\cdot 3\cdot 327\\ \qquad 3^3\cdot 327 \end{cases}[/tex]

[tex]\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{3^3\cdot 327}}\implies \cfrac{s}{s}=\cfrac{\underline{\sqrt[3]{327}}}{3\underline{\sqrt[3]{327}}}\implies \cfrac{s}{s}=\cfrac{1}{3}[/tex]

Graph the function y = 6/x . Draw a chart to show the ordered pairs that are on the graph.
Answer:

x y
-3
-2
-1
1
2
3

Answers

Answer:

see the attachment for the graph and chart

Step-by-step explanation:

A spreadsheet or graphing calculator is convenient for making a chart of ordered pairs.

The midpoint of is m(–8, 1). one endpoint is k(–6, 5). find the coordinates of the other endpoint l.

Answers

the correct question is
The midpoint of kl is m(–8, 1). one endpoint is k(–6, 5). find the coordinates of the other endpoint l.

we know that
the formula of midpoint is
Xm=(x1+x2)/2----> 2*Xm=x1+x2------> x2=2*Xm-x1
Ym=(y1+y2)/2----> 2*Ym=y1+y2------> y2=2*Ym-y1

let
(x1,y1)-------> (–6, 5).
(Xm,Ym)-----> (-8,1)

find (x2,y2)
x2=2*Xm-x1-----> 2*(-8)-(-6)----> -10
y2=2*Ym-y1----> 2*(1)-5-----> -3

the point l is (-10,-3)

[Geometry Basics] I'm just checking if this is correct:

~ Endpoint: (-9, -1), midpoint: (8,14)

Answer I got: (25, 31)

~ Endpoint: (10,12), midpoint: (6,9): (2,6)

I will give you brainiest if it's correct :) And 20 pts.

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ x &,& y~) % (c,d) &&(~ -9 &,& -1~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-9+x}{2}~~,~~\cfrac{-1+y}{2} \right)=\stackrel{midpoint}{(8,14)}\implies \begin{cases} \cfrac{-9+x}{2}=8\\\\ -9+x=16\\ \boxed{x=25}\\ -------\\ \cfrac{-1+y}{2} =14\\\\ -1+y=28\\ \boxed{y=29} \end{cases}[/tex]

[tex]\bf -------------------------------\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ x &,& y~) % (c,d) &&(~10 &,& 12~) \end{array}\qquad \\\\\\ \left( \cfrac{10+x}{2}~~,~~\cfrac{12+y}{2} \right)=\stackrel{midpoint}{(6,9)}\implies \begin{cases} \cfrac{10+x}{2}=6\\\\ 10+x=12\\ \boxed{x=2}\\ -------\\ \cfrac{12+y}{2} =9\\\\ 12+y=18\\ \boxed{y=6} \end{cases}[/tex]

Chris plants a sunflower that is 6 inches tall. The sunflower is expected to grow at an average rate of 1.5 inches per day during the next month.

A. Create an equation that Chris can use to find the number of days, x, it will take the sunflower to grow to a height of 45 inches.

B. How many days will it take the sunflower to grow to a height of 45 inches?

Answers

A. The equation that represents this scenario would be 6 + 1.5d = 45. The reason is that the plant starts out at 6 inches(6) and (+) grows 1.5 inches each day (1.5d).

B. We will solve the equation to find out how many days it will take to get to 45 inches.

6 + 1.5d = 45
-6 -6
1.5d = 39
1.5 1.5
d = 26

The number of days it would take is 26.

Which is closer to the x-axis (1.4 , 2.2) and (4.1 , 2.4) or (3.9) and (8,9) or (1 1/4 , 2) and 1 1/4 , 8)?

Answers

hope this helps you with your problem

Find the slope of the line

-4
-1/4
1/4
4

Answers

Find 2 "easy" points on the graph, and identify their coordinates. One such point would be (-4,1) and another would be (4,2).

run = 8 (from -4 to +4)
rise = 2 (from 0 to 2)

rise 2
slope = ------- = -------- = 1/4 y-intercept is (0,1)
run 8

equation of this line is thus y = mx + b, or y = (1/4)x + 1 (answer)

Baby Kelsey wants to arrange 12 blocks in a row. How many different arrangements can she make?

Answers

Final answer:

To find the number of arrangements Baby Kelsey can make with 12 blocks, we calculate 12 factorial (12!), which equals 479,001,600. This represents the total number of unique ways to arrange the blocks in a row.

Explanation:

The student has asked how many different arrangements can be made with 12 blocks in a row. To determine the number of different arrangements, we use the concept of factorial, which is represented by an exclamation mark (!). In this case, we want to find 12!, which represents the product of all positive integers from 1 to 12.

Specifically, the calculation is 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1. This multiplication results in the number of unique ways to arrange the 12 blocks since each block is distinct and can be placed in any position within the arrangement.

Therefore, there are 479,001,600 different arrangements possible when organizing 12 unique blocks in a row, showcasing the vast number of combinations for even a small number of objects.

He probability of choosing a vowel (a, e, i, o, or u) from a deck of cards containing the 26 letters of the alphabet is shown below. what is the probability of choosing the letters a and e one after the other without replacement?

Answers

The probability is 1/650.

There is 1 a out of 26 letters; P(a) = 1/26

There is 1 e out of 26 letters; however, since it comes after drawing the a and is done without replacement, it is out of 25: 1/25

Together, their probabilities are 1/26(1/25) = 1/650

Please help me with this question

Answers

The graph shows the maximum residual is ...
◉ Data point (10, 10); Residual = 4.50

_____
Apparently, this question makes no use of the line of best fit.

What is the exact area of a circle with a diameter of 20 cm?

400πcm^2

10πcm^2

100πcm^2

20πcm^2

Answers

Hi there! The answer is 100πcm^2

The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.

The exact area of a circle can be found using the following formula:
[tex]a = \pi \times \: {r}^{2} \\ with \\ a = area \\ r = radius[/tex]

In order to find our answer, we need to plug in the data from the question.
[tex]a = \pi \: \times {10}^{2} = 100\pi[/tex]

Hence, the answer is 100πcm^2.

Final answer:

The exact area of a circle with a diameter of 20 cm is 100π cm². This is found using the formula Area = πr², with 'r' being the radius of the circle.

Explanation:

The subject of this question falls under the category of Mathematics, specifically geometry. In order to find the area of a circle, we use the formula: Area = πr², where r is the radius of the circle.

The diameter of the circle is given as 20 cm, so the radius, which is half the diameter, would be 10 cm. Substituting the radius value into the formula gives us: Area = π(10 cm)² = 100π cm². Therefore, the exact area of the circle with a diameter of 20 cm is 100π cm².

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another geometry file upload

Answers

cross multiplication 13x -13 = 8x+12
combining like terms 13x -8x =12 +13
5x= 25 x= 5

x=5

How do I find the solution for this quadratic?

Answers

Hello,
Please, see the attached file.
Thanks.

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