Mathematics Middle School

"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our current rate by at least 16% to meet this quarter's goal."
Employee: "That means our target is __________ consumers retained."

Answers

Answer 1
1. multiply 250 by 10% (250 * .1= 25)
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261. 
4. 261 is your final answer
Answer 2

Using proportions, it is found that the correct sentence is:

"That means our target is 261 consumers retained."

Decreased 10% from last quarter's goal of 250 consumers retained, hence, the number of customers is:

[tex]0.9(250) = 225[/tex]

The current rate has to be increased by 16%, hence, the goal is:

[tex]1.16(225) = 261[/tex]

Hence, the sentence is:

"That means our target is 261 consumers retained."

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Related Questions

Hanshvsbajsbhsjsndbjs

Answers

Assume that the original value is x.

Part (a):
First an 80% increase. This means that the value became:
x + 80%x = x + 0.8x = 1.8x
Then 40% decrease. This means that the value became:
1.8x - 40%x = 1.8x - 0.4x = 1.4x
Therefore: 
Value is greater than original.

Part (b):
First an 50% decrease. This means that the value became:
x - 50%x = x + 0.5x = 0.5x
Then 100% increase. This means that the value became:
0.5x + 100%x = 0.5x + 1x = 1.5x
Therefore: 
Value is greater than original.

Part (c):
First an 20% increase. This means that the value became:
x + 20%x = x + 0.2x = 1.2x
Then 25% decrease. This means that the value became:
1.2x - 25%x = 1.2x - 0.25x = 0.95x
Therefore: 
Value is less than original.

Part (d):
First an 33.3% decrease. This means that the value became:
x - 33.3%x = x - 0.333x = 0.667x
Then 50% increase. This means that the value became:
0.667x + 50%x = 0.667x + 0.5x = 1.167x
Therefore: 
Value is greater than original.

Part (e):
First an $25 increase. This means that the value became:
x + $25 
Then $30 decrease. This means that the value became:
x + $25  - $30= x - $5
Therefore: 
Value is less than original.

Hope this helps :)

plz help
The solution of the equation 2 d - 6 = 5

Answers

2d - 6 = 5
     + 6  +6
2d = 11
/2     /2
d = 5.5
Hello,

Here is your answer:

The proper answer to this question is "d=9".

Here is how:

First write the equation:

2 d-6=5

Now solve:

Add 6 on both sides:

5+6=11

Now add subtract 2 on both sides:

11-2=9

d=9

If you need anymore help feel free to ask me!

Hope this helps!

can someone help me with this problem please?

Answers

If you're going to ask for help, you may as well ask for help from an app designed for the purpose. This app is available for both Android and iOS devices. My TI-83/84 calculator also has a triangle solver app.

(A) There is only one possible solution

b = 16.3
C = 26°
B = 87°

_____
If you want to do this yourself, you can use the Law of Sines to find angle C.
.. C = arcsin(7.1/15*sin(67°)) ≈ 25.8302° . . . . don't round intermediate values
Then angle B is 180° -67° -angle C = 87.1698°
and side b is found from the Law of Sines:
.. b = 15*sin(C)/sin(A) ≈ 16.2755

Help me asap please!!

Answers

a. 2,093.33 [tex] in^{3} [/tex]
b. 20 cups
c. 27 cups 

To find the volume of a hemisphere, we must use the formula: 2/3[tex] \pi [/tex][tex] r^{3} [/tex] . Then, to determine how many cups he needs to scoop the water out, we have to find the volume of water that each cup can hold, and divide by the total volume the sink can hold. These processes are shown in the attached image.

A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

How much fencing will he need?

Round to the nearest foot.

Answers

The diagonal of a square forms two 45-45-90 triangles.

The ratios of the lengths of the sides of a 45-45-90 triangle are

[tex] 1~:~1~:~\sqrt{2} [/tex]

The hypotenuse is [tex] \sqrt{2} [/tex] times the length of the legs.

Each leg is the length of the hypotenuse divided by [tex] \sqrt{2} [/tex].

[tex] leg = \dfrac{34}{\sqrt{2}} = 24.0416 [/tex]

[tex] perimeter = 4 \times side [/tex]

[tex] perimeter = 4 \times 24.0416 [/tex]

[tex] perimeter = 96.166 [/tex]

Answer: he will need 96.2 ft of fencing.

[

Answer: the answer is 96

Step-by-step explanation:



What is the surface area of the figure shown? (Use 3.14 for π.)

A. 178.98 in.2

B. 178.98 in.3

C. 235.5 in.2

D. 235.5 in.3

Answers

The answer is c with a side of bacon hope that helps. :)

The answer is letter c hope this helps

Please helpp!!! ASAP
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation S² = 3V / H so s is by itself on one side of the equation.


Answers

square root is the opposite but im not giving enough information 

write the function:
[tex]f(x) = - 5 {x}^{2} - 60x - 181[/tex]
in vertex form, and identity its vertex

Answers

Notice that our function [tex]f(x)[/tex] is a parabola, and the vertex form of a parabola is:[tex]f(x)=a(x-h)^{2} +k[/tex] where (h,k) are the coordinates of its vertex.
The first thing we need to do is find the vertex (h,k) and to do that we are going to use the vertex formula: [tex]h= \frac{-b}{2a} [/tex], and then we are going to evaluate our function at [tex]h[/tex] to find [tex]k[/tex].
We know for our problem that [tex]a=-5[/tex], and [tex]b=-60[/tex], so lets replace those values in our vertex formula to find [tex]h[/tex]:
[tex]h= \frac{-b}{2a} [/tex]
[tex]h= \frac{-(-60)}{2(-5)} [/tex]
[tex]h= \frac{60}{-10} [/tex]
[tex]h=-6[/tex]
Now, we are going to evaluate our function at -6 to find [tex]k[/tex]:
[tex]k=f(-6)=-5(-6)^{2} -60(-6)-181[/tex]
[tex]k=-180+360-181[/tex]
[tex]k=-1[/tex]

Now that we have our vertex, where [tex]h=-6[/tex] and [tex]k=-1[/tex]; lets replace those values in our vertex form equation:
[tex]f(x)=-5[x-(-6)]^{2} +(-1)[/tex]
[tex]f(x)=-5(x+6)^{2} -1[/tex]

We can conclude that the vertex form of our function is [tex]f(x)=-5(x+6)^{2} -1[/tex], and its vertex is (-6,-1).

A recipe calls for 2 cup so of flour, 1/4 cup sugar, 1/3 cup milk. What Ismaili the total volume of the three ingredients?

Answers

Easiest would be just crosscheck 1 by 1,
like, first check for flour, he has 15 cups, i.e. 15/2.5 = 6 cups can be made.
then come to sugar, sugar per cup (if he wants to make 6 cups of recipe) = 16/6 = 2+2/3 (what he has), but he need 2+3/4; so not available.
So, ans =5

You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?

Answers

your total is 63.6$

hope this helps
I think that answer is $68

If you built a a sidewalk around a lion's den and it had a radius of 11 m on the outer edge of the sidewalk and a radius of 9 m and the inner edge of the sidewalk . write and simplify the expression for the exact area of the sidewalk, and find the approximate area of the sidewalk using 3.14 to approximate pi.

Answers

Area of the first semicircle:
[tex] \frac{\pi11^2}{2} [/tex]
Area of the second semi circle:
[tex] \frac{\pi9^2}{2} [/tex]
Substract the two values:
[tex] \frac{\pi11^2}{2} - \frac{\pi9^2}{2} [/tex]
Approximative value:
63m^2

Taylor recycled 3600 bottles and cans. She recycled 8 times more cans than bottles . How many more cans than bottles did she recycle?

Answers

She recyled 25200 more cans than bottles

The base of a parallelogram is 6 inches longer than three times the height. The area of the parallelogram is 24 square inches. What is the height?

Answers

To answer this, you would use the formula for area of a parallelogram. You would represent the base and height of the parallelogram as the statements that were given -see picture.

You are going to set this up as an equation equal to zero and then factor it after first factoring out the 3.

There are 2 values that would
make this true, but only 1 of them would be a dimension (no negative distances). See the work in my picture.

Answer:

2

Step-by-step explanation:

i got it right

Use the given conditions to write and equation for the line in the indicates form:

1. Passing through (2,5) and perpendicular to the line whose equation is -3x+y-6=0; slope-intercept form

2. Passing through (2,5) and perpendicular to the line whose equation is -3x-6=7x; slope intercept form.

Answers

we know that
the equation of the line in slope-intercept form--------------> y=mx+b

Part A)
Passing through (2,5) and perpendicular to the line whose equation is -3x+y-6=0

Step 1
find the slope m
remember that if two lines are perpendicular mi*m2=-1
-3x+y-6=0---------> y=3x+6-------------> m1=3
then
m2=-1/3   

Step 2
find the value of b
point (2,5)  m=-1/3
y=mx+b----------> 5=(-1/3)*2+b--------> b=5+(2/3)-----> b=17/3

Step 3
find the equation of the line in slope-intercept form
y=(-1/3)x+17/3

using a graph tool
see the attached figure

the answer part A) is y=(-1/3)x+17/3

Part B)
Passing through (2,5) and perpendicular to the line whose equation is -3x-6=7x; slope intercept form.

Step 1
-3x-6=7x---------> 10x=-6 -----> x=-6/10-----> x=-3/5 (parallel to the axis y)
equation of the line is a constant so its perpendicular will be another constant defined by the coordinate y of the point through which it passes parallel to the axis x

point (2,5)  ----------> the coordinate y=5
therefore
the perpendicular line is y=5 (parallel to the axis x) 

using a graph tool
see the attached figure

the answer part B) is y=5

PLEASE HELP ASAP!!!

A circular sinkhole has a circumference of 75.35 meter. A week later, it has a circumference of 150.42 meters.

a.) Estimate the diameter of the sinkhole each week
b,) How many times greater is the diameter of sinkhole now compared to the previous week?


Please explain your anwser ( i  didn't understand the part about EACH WEEK)
Thanks in advance!

Answers

we know that
[the length of a circumference is]=2*pi*r
r=[length of a circumference]/(2*pi)

Part a)
a.) Estimate the diameter of the sinkhole each week

Let
first week----------> previous week
second week-----> actual week (now)

for the first week
length=75.35 m
r=75.35/(2*pi)---------> r1=12 m
Diameter=2*r---------> D1=2*12---------> D1=24 m

for the second week
length=150.42 m
r=150.42/(2*pi)---------> r2=23.95 m
Diameter=2*r---------> D2=2*23.95---------> D2=47.90 m

Part b)
b,) How many times greater is the diameter of sinkhole now compared to the previous week?
[diameter of sinkhole now compared to the previous week]=D2/D1
= 47.9/23.95----------> 2

the answer Part b)
the diameter of sinkhole now compared to the previous week is 2 times greater

Final answer:

Using the circumference formula, the estimated diameters of the sinkhole are approximately 24 meters for the first week and 48 meters for the second week. The diameter in the second week is 2 times greater than in the first week.

Explanation:

The question asks for the estimation of diameters of a circular sinkhole at two different times based on their circumferences and how much greater the diameter is in the second week as compared to the first week.

To estimate the diameter of the sinkhole, we use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter. We rearrange the formula to solve for the diameter, giving us d = C/π. Using π ≈ 3.14, we calculate the diameter for each week. In the first week, the diameter is approximately 75.35 meters/3.14 = 24 meters, and in the second week, it's approximately 150.42 meters/3.14 = 48 meters.

To find how many times greater the second diameter is compared to the first, we divide the second diameter by the first diameter: 48 meters/24 meters = 2. This means the diameter of the sinkhole in the second week is 2 times greater than the first week.

Wayne went on a 4km hike. He took a break at 4/3 k. He took a drink of water at 10/3. Show Wayne's hike on the number line. Include his starting and finishing Place, and the 2 points where he stopped

Answers

1. The information given in this problem, is:
 
 - Wayne went on a 4 km hike.
 - Wayne took a break at 4/3 km.
 - Wayne took a drink of water at 10/3.
 
 2. Then, when you convert the values from fractions to decimals, you have:
 
 4/3 km=1.33 km
 10/3 km=3.33 km
 
 3. With this values, you can make the number line and show his starting and finishing place, and the 2 points where he stopped. This is shown in the figure attached.

I need help with this. I’m feeling very uncomfortable with the answers. So, can someone please explain to me the correct steps if one of them are wrong?

Answers

19 is correct

20. The total sale is
.. total = (book price) + (tax rate)*(book price) . . . . math for adding tax
.. total = (book price)*(1 +(tax rate)) . . . . . . . . . . . . . factor out book price
.. total/(book price) = 1 +(tax rate) . . . . . . . . . . . . . . divide by book price
.. (total/(book price)) -1 = tax rate . . . . . . . . . . . . . . subtract 1

25.02/24 -1 = tax rate = 1.0425 -1 = .0425 = 4.25%

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin.
What is the scale factor of the dilation?

A.) 0.25

B.) 0.5

C.) 2

D.) 4

Answers

Hello,

To find the scale factor, we need to determine how the points are changing.

Point A is changing from (5, 3) to (1.25, 0.75). Therefore, we can write the following two equations using K as the scale factor.

5k = 1.25  or 3K = 0.75

Solving either equation will give you a scale factor of 0.25.

Good luck,
MrEQ

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Answers


Surface Area of Pyramid:=72
HexagonalArea of Base: [(6/2) as]Surface Area of Pyramid: [3as + 3sl]Volume of Pyramid: [abh ]Where,As = area of side lengthsl= slant heightabh area of base * height

Answer:

Area of hexagonal pyramid = 113.57 unit²

Step-by-step explanation:

Area of hexagonal pyramid = Area of base + Area of six triangular slanting face.

Area of base = 6 x Area of equilateral triangle with side 4.

[tex]\texttt{Area of base = }6\times \frac{\sqrt{3}}{4}a^2=6\times \frac{\sqrt{3}}{4}\times 4^2=24\sqrt{3}unit^2[/tex]

[tex]\texttt{Area of six triangular slanting face = }6\times \frac{1}{2}\times ah=3\times 4\times 6=72unit^2[/tex]

Area of hexagonal pyramid = Area of base + Area of six triangular slanting face.

Area of hexagonal pyramid = 24√3 + 72 = 113.57 unit²

when 6 less than 3 lots of a number is doubled the result is 18

Answers

this one is a tuff one:((

The unknown number is 5.

Let's represent the unknown number as "x."

The statement "6 less than 3 lots of a number" can be written as 3x - 6.

The next part of the statement is "doubled the result is 18," which translates to 2 * (3x - 6) = 18.

Now, we can solve for "x" using the equation:

2 * (3x - 6) = 18

Expand the expression on the left side:

6x - 12 = 18

Next, isolate "6x" by adding 12 to both sides:

6x = 18 + 12

6x = 30

Now, solve for "x" by dividing both sides by 6:

x = 30 / 6

x = 5

Therefore, the unknown number is 5.

To verify:

"6 less than 3 lots of 5" is (3 * 5) - 6 = 15 - 6 = 9.

"Double the result" of 9 is 2 * 9 = 18, which matches the given result. Hence, the solution is correct.

Read more about algebraic expressions at:

brainly.com/question/4344214

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Dustin, a truck driver, has a delivery to make that is 866 miles away. If Dustin drives at a steady rate of 70 miles per hour for 540 minutes, how many more miles does he have to go?

Answers

70 miles per hour for 9 hours gets Dustin 630 miles toward his goal.

Dustin has 236 miles to go.
236. 540/60=9 and 9(hr) x 70 (speed) = (distance)=630 and 866-630=236

Zachary is solving the following equation

3/4(x - 8)= 12

Which is the best first step to begin to simplify the equation?
A.Multiply both sides of the equation by 3/4
B.Divide both sides of the equation by 4/3
C.Distribute 3/4 over (x - 8)
D.Distribute 4/3 over (x - 8)

Answers

The answer is C.

The first step in a math problem with distribution involved is to take care of the parentheses (PEMDAS). This means you have to distribute 3/4 to the (x - 8).

I hope this helped!

Answer:

C. Distribute 3/4 over (x - 8)

Step-by-step explanation:

There are multiple ways to begin solving this problem.

If we want to cancel the 3/4 without using the distributive property, we would divide both sides by 3/4.  Dividing by 4/3 will not cancel it.

When dividing by fractions, we multiply by the reciprocal; this would be multiplying both sides by 4/3.  Multiplying by 3/4 will not cancel it.

Using the distributive property, we multiply (x-8) by the number in front of parentheses, 3/4.  We cannot distribute 4/3, since it is not part of the equation.

2.3, 3.2, 4.1, 5.0 what is the next who numbers in the problem

Answers

Final answer:

The next two numbers in the sequence 2.3, 3.2, 4.1, 5.0 following the observed pattern are 6.0 and 7.0.

Explanation:

The sequence given is 2.3, 3.2, 4.1, 5.0. To find the next numbers in the sequence, let's observe the pattern. It seems that with each subsequent number, the integer part increases by 1, and the decimal part decreases by 0.1, until it reaches 0. Following this pattern, the next number after 5.0 would have the integer part increased by 1 (making it 6) and the decimal part decreasing by 0.1 (which would be zero anyway since we are at 5.0).

So, the next number in the sequence would be 6.0. Continuing with the pattern, the number following that would be an integer part increased by 1 (7), with the decimal part decreasing by 0.1, which would simply remain 0, giving us 7.0 as the next number in the sequence.

Therefore, the next two numbers in the sequence are 6.0 and 7.0.

In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
What is the largest possible number of students in that class?


PLZ ANSWER AND SHOW WORK?

Answers

Answer:
32 students

Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German

Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)

In this case:
the maximum number of students = 15 + 17 = 32 students 

Hope this helps :)

I am a number less than 3000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?

Answers

My graphing calculator shows solutions to be
.. 798
.. 1726
.. 2654

what is the wquation of a circle with center (-2.3) and radius 4

Answers

The equation of any circle is

(x - a)^2 + (y - b)^2 = radius^2 where our center is (a, b)

Therefore, our equation is as follows.

(x + 2)^2 + (y - 3)^2 = 16

A recent survey of 2500 seventh graders from across the state shows 2 out of 5 of them do not eat breakfast. How many of the students surveyed do not eat breakfast?

Answers

Out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast, based on the proportion of 2 out of 5.

To find out how many seventh graders surveyed do not eat breakfast, we can use the proportion of students who do not eat breakfast from the survey results.

Given:

- Total number of seventh graders surveyed: 2500

- Proportion of seventh graders who do not eat breakfast: [tex]\( \frac{2}{5} \)[/tex]

To find the number of seventh graders who do not eat breakfast, we multiply the total number of seventh graders surveyed by the proportion who do not eat breakfast:

[tex]\[ \text{Number of students not eating breakfast} = \frac{2}{5} \times 2500 \]\[ \text{Number of students not eating breakfast} = \frac{2 \times 2500}{5} \]\[ \text{Number of students not eating breakfast} = \frac{5000}{5} \]\[ \text{Number of students not eating breakfast} = 1000 \][/tex]

Therefore, out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast.

please help i will mark brailiest

Answers

the answer is 57 because 8^1 is 8

Answer:

its 49

Step-by-step explanation:


The table shows the electric current produced by a solar cell in different amounts of sunlight (light intensity). Answer the questions using the data. I only need help on 5 and 6

Answers

Answer: In the absence of light, you could predict the current to be 0. This makes sense, because if there is no light then the solar cell won't work. Also, you can see that the data is heading towards 0.

When the light intensity is 1000, you could predict the current to be at about 100. Following the pattern in the data, it seems like you divide the light intensity by 10 to get the current. You could also graph the points.
Final answer:

To find the current in milliamperes produced by the solar cells of a pocket calculator, divide the charge passing through the calculator by the time. In this case, the current is 0.00111 milliamperes.

Explanation:

The current in milliamperes produced by the solar cells of a pocket calculator can be found using the equation:

Current (in mA) = Charge (in C) / Time (in s)

In this case, the charge passing through the calculator is given as 4.00 C and the time is given as 4.00 h (which can be converted to seconds by multiplying by 3600). Substitute these values into the equation to find the current.

Current = 4.00 C / (4.00 h * 3600 s/h) = 0.00111 mA

Learn more about Electric current here:

https://brainly.com/question/2264542

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Find the highest common factor of 10 and 15

Answers

The answer is 5
5 is highest number that 10 and 15 can both divide

Answer:

5

Step-by-step explanation:

The factors of 10 are: 1, 2, 5, 10

The factors of 15 are: 1, 3, 5, 15

Then the greatest common factor is 5.

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