Five sixth-grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.

The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.
The smallest total was 308 cans.
The range of the total cans collected was 262.
The median number of cans collected was 421.
The total of the two classes in the three hundreds was 706.
The total number of cans collected from all the classes was 2,130 cans.


List the classes from least to greatest.

Answers

Answer 1

Answer:

308, 398, 421, 433, 570

Step-by-step explanation:

To start we know the smallest is 308 cans, so that is the first class.

Next, it says the range is 262. The range is maximum minus the minimum. Since we know the minimum(308), that means 308 + 262 = 570 and 570 is the maximum or the class with most collected cans.

Then, it says the median or the middle number is 421, the middle number in a class is 3. So, the third class collected a total of 421 cans.

After that, it says the two classes in the three hundred, or the first and second class, has a total of 706 cans. So, if we do 706 - 308 we get the second class. Which collected 398 cans.

Finally, it says the total all the class collected is 2130. So, if we add all the values we have know and subtract it from the total of all the class we get the missing class or the fourth class. So, 308 + 398 + 421 + 570 = 1697, and 2130 -1697 = 433. Which the fourth class.

Least to greatest:

308

398

421

433

570


Related Questions

A cuboid has a base of 12. 5 cm by 20 cm. holds exactly 1 litre of water. What is the height.​

Answers

Answer:

4 cm

Step-by-step explanation:

V=L×W×H

V=1 litre = 1000 cm³

H= V/LW

1000/(12.5×20)=4

height= 4cm

The dimensions of a rectangle are increased by a scale factor of 2. If the original rectangle had an area of 16 square feet, what is the area of the larger rectangle?

Answers

Answer:

64 ft squared.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

The graph of a line in the xy - plane passes through the point (8,6) and
crosses the y axis at the point(0, -18). What is the x-intercept of the
line?

Answers

Answer:

(6,0)

Step-by-step explanation:

First, let's find the line. We can do that by using the slope-intercept form of a line which is y = mx + b where m and b are the slope and y-intercept respectively. We know b = -18 and we can find m by doing (-18 - 6) / (0 - 8) = -24 / -8 = 3. Therefore, the equation of the line is y = 3x - 18. To find the x-intercept, we'll set y equal to 0. We get 0 = 3x - 18 → 3x = 18 → x = 6. Therefore, the x-intercept is (6,0). Hope this helps!

does a definite offer must include enough information to reasonably infer the terms?

Answers

Answer: Yes, it must.

Step-by-step explanation:

By definition, a definite offer must offer enough information to the offerer to understand the offer. In other words, the terms must be clear enough for the offerer to understand the offer and decide if he/she accepts the offer or not.

So yes, a definite offer must include enough information to infer the terms, if not, this is not a definite offer.

I will give u 100 points and mark u as branniest if you can answer this question Solve for y. y + 19 = 25 –44 –6 6 44

Answers

Answer:

X= 6

Step-by-step explanation:

Do the opposite instead of addition do subtraction to get x

25 minus 19

Evaluate: 8x6 + (12-4) /2

Answers

Answer:

8x6=48+10=98 answer is 98 i think

Step-by-step explanation:

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees. *please hurry*

Answers

Answer:

x = 13

Angle 1 = 150 degrees

Angle 8 = 30 degrees

Step-by-step explanation:

11x + 7 + x + 17 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

11(13) + 7 = 150

(13) + 17 = 30

The co-interior angles are solved and x = 13

The measure of angle 1 = 150°

The measure of angle 1 = 30°

Given data:

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line.

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

The angles 1 and 8 are co-interior angles.

So, 11x + 7 + x + 17 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

So, the measure of angle 1 = 11(13) + 7 = 150°

The measure of angle 8 = (13) + 17 = 30°

Hence , the parallel lines are solved.

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The complete question is attached below:

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees.

I need help with this one! Can anyone help me?

Answers

The first one is correct.

Show that you can factor the expression x2y - 12 + 3y - 4x2 by grouping in two ways. PLZ HELP WILL MARK BRAINLIEST

Answers

Answer: I got this hope this helps

(-y)(-3x)+14

Step-by-step explanation:

Which of the following is not an identity?

Answers

D.

[tex]\frac{1+cos^2x}{sin^2x}=1[/tex]
[tex]1+cos^2x=sin^2x}[/tex]
[tex]1=sin^2x-cos^2x}[/tex]
its contradictive with identity
[tex]1=sin^2x+cos^2x}[/tex]

Write an equation of the line that passes through (-5, -2) and is parallel to y=
3x+1.

Answers

Answer:

b = 6

Step-by-step explanation:

y = 2x = + b

6 = 2 ×(0) + b

b = 6

Use Pascal's Triangle to determine the second term of the expansion of (x - 2)^5

Answers

Pascal's triangle up to the 5th iteration is

[tex]\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}[/tex]

This tells us

[tex](x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5[/tex]

so the second term in the expansion is

[tex]5x^4(-2)^1=\boxed{-10x^4}[/tex]

pls help i give u brainliest​

Answers

Answer:

A≈804.25

Step-by-step explanation:

Divide the height by 2 which is 8 and then

A=4πr2=4·π·82≈804.24772

=804.247719 hope that helps

PLEASE HELP ME I WILL AWARD BRAINLIEST AND 25 POINTS IF YOU GET THIS QUESTION!!! Find area of the following shape if the vertices are X=(1,1), Y=(2,5), Z=(5,5), W=(8,1)

Answers

Answer:

80 units

Step-by-step explanation:

Area of trapezoid: a+b/ 2 * H

a = top, b= bottom, H = height

6+14/2 * 8

20/2 *8

10*8

80

Answer:

20

Step-by-step explanation:

To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.

We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.

(8,1) (1,1)

1 x 1 = 1

8 x 1 = 8

1 - 8 = -7

next coordinate:

(1,1) (2,5)

1 x 2 = 2

1 x 5 = 5

2 - 5 = -3

next:

(2,5) (5,5)

5 x 5 = 25

2 x 5 = 10

25 - 10 = 15

next:

(5,5) (8,1)

5 x 5 = 40

5 x 1 = 5

40 - 5 = 35

-7 - 3 + 15 + 35 = 40

40/2 = 20

SOMEONE PLEASE HELP ME ASAP PLEASE!!!
(the answer is not 16) ​

Answers

Answer:

11+6=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

11+6=17

what is the equation of a line that passes through the point (-2,5) and is parallel to a line with a slope of 3?

Answers

Answer:

Step-by-step explanation:

y - 5 = 3(x+ 2)

y - 5 = 3x + 6

y = 3x + 11

Miles's house is 13 meters long. How many centimeters long is Miles's house?

Answers

Answer:

1300cm

Step-by-step explanation:

1 meter has 100cm, so 13 meters is 13 * 100cm = 1300cm

The mean of three numbers is 4. Two of the numbers are shown below. What is the missing number? 1, 9, ?

Answers

Mean= 2
1+9=10
(10+2)/3=4
You need to find a number that is able to divide by 3 when you add it to 10 and will equal 4

If the mean is 4 then the missing number will be 2.

What is mean?

The mean is the average of all the data values present in the data set.

Mean=sum/number

How to calculate mean?

Let the missing number be x in this way mean will be

(1+9+x)/3=4

10+x=12

x=2

Hence if mean is 4 then the missing number will be 2.

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HELP MEEEEEE!
Which type of account would you suggest Tyler deposit his money into: the account with simple interest or compound interest? Justify your reasoning.

Answers

Answer:

Tyler should be suggested to deposit his money in Compound interest because it compound the interest for all the Successive years which give more interest then Simple interest

Answer:

compound interest

Step-by-step explanation:

Hope it helps.

Match the function with its graph. a. 1C, 2B, 3D, 4A c. 1D, 2A, 3C, 4B b. 1A, 2D, 3B, 4C d. 1A, 2B, 3C, 4D Please select the best answer from the choices provided A B C D (answer is C)

Answers

Answer:

The correct answer is "Option C".

Step-by-step explanation:

Given:

[tex]\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\[/tex]

solve the above equation:

[tex]\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\[/tex]

[tex]\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\[/tex]

[tex]\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}[/tex]

The final answer is "Option C".

Answer:

c

Step-by-step explanation:

Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.
a number subtracted from 46 is -21
a
46-n=-21
n - 67
b.
46-21 = 1
n = 67
C.
46 - 21 = n
n = 25
d.
46-n--21
n = 75

Answers

The answer would be B.

46

-67

-------

-21

I checked my math.

Answer: A.  46 - n = -21

n=67

Step-by-step explanation:

edge

5x - 2 = 10 - X
Please help

Answers

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

Add x to both sides

6x - 2 = 10

Add 2 to both sides

6x = 12

Divide both sides by 6

x = 2

Select all polynomials that are divisible by (x + 3).

Choose all answers that apply:

© A(x)= x3 + 4x2 – 9

® B(x) = x3 – 22 – 18

© C(x) = x3 – 6x – 9

© D(x) = x3 + 3x +3

Answers

Answer:

x³+4x²-9

Step-by-step explanation:

x+3=0

x=-3

put x=-3 into x³+4x²-9, if it is equal to zero then it is dividsble

so, (-3)³+4(-3)-9=0

so a is correct

The polynomial A(x) is divisible by (x+3).

What is factor?

A factor is a number or expression that divides another number or expression  leaving no remainder.

What is factor theorem?

If p(x) be the polynomial, then p(x) is divisible by q if q is the factor of p(x).

According to the given question

we have different polynomials

[tex]A(x) = x^{3} +4x^{2} -9[/tex]        

When we divide A(x) by (x+3) we get remainder 0.

⇒ (x+3) is a factor of A(x).

Hence, the polynomial  A(x) is divisible by (x+3).

[tex]B(x) = x^{3} -22 -18[/tex]

⇒ [tex]B(x) = x^{3} -30[/tex]

When we divide B(x) by (x+3) we get remainder -57.

⇒ (x+3) is not a factor of B(x)

Hence, the polynomial B(x) is not divisible by (x + 3).

[tex]C(x) =x^{3} -6x -9[/tex]

By dividing C(x) by (x +3)  we get remainder -18

⇒ (x+3) is not a factor of C(x).

Hence, C(x) is not divisible by (x+3).

[tex]D(x) = x^{3} + 3x + 3[/tex]

By dividing  D(x) by (x+3), we get remainder -33.

⇒ (x+3) is not a factor of D(x).

Hence, D(x) is not divisible by (x+3).

Thus, the polynomial A(x) is divisible by (x+3).

Learn more about factor theorem here:

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Michelles regular hourly wage at the candy factor is $9.86 for a 35- hour work week. She is paid double time for working on a holiday. Last week she worked 10 hours overtime on a holiday. How much more did she earn last week than she earns in a 35-hour work week?

Answers

On a 35 hour work week she earns $345.10. Last week she earned $542.30. She earned 197.20 more money last week than she earned in a 35 hour work week

Jack wants to purchase a DVD player whose price was $62.50 . He has $50 only. How much more money does Jack need to purchase the DVD player?
-must have:)..
step by step..
has to make scene
thank you and stay safe:)

Answers

Answer:

he needs 12.50 left

Step-by-step explanation:$62.50-$50

Answer:$12.50

Step-by-step explanation: This is a simple subtraction problem. You take the amount of the DVD player ( which is $62.50 ) and subtract the amount of money Jack has on him ( which is $50 ).

$62.50 - $50.00 = $12.50

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!The coordinate of point A is -7 and the coordinate of point D is -2.
Find the distance between the points A and D.

Answers

Answer:

So we can first use the distance formula which is for 2 dimensional but seen as we're in 1 dimensions we dont have to use it. So we can just get the distance between them using a formula I made -

|a-d| = distance

So if we use that formula we can get that -7-(-2) = -7+2 = -5. Then take the absolute value which is 5.

Therefore the answer is

5 is answer

MN is the midsegment of the trapezoid ABCD. What is the length of segment AB?
A.8
B.9
C.10
D.14

Answers

What’s the length of it ? My guess would probably be C , I need to see the length of the trapezoid , it’s segment of AB

Answer: It's not 10 lol

Step-by-step explanation:

Solve: 3(-x+2) < 15
A
X>7
B
x < 3
C x<->
D x>-3

Answers

Answer:

D x>-3

Step-by-step explanation:

3(-x+2) < 15

-3x + 6< 15 (Subtract 6 from both sides)

-3x < 9 (Divide 3 on both sides)

x>-3 (Flip the inequality because the variable was negative)

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that
varies from the normal by more than 3°F. Create an absolute value inequality and solve it to determine what body
temperatures would be considered unhealthy.​

Answers

Answer: | t- 98.6 | ≤ 3

Temperatures less than  95.6 and higher than 101.6 will be considered unhealthy.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality

.

| t- 98.6 | ≤ 3

Where t is the body temperature.

The absolute value inequality has 2 solutions:

1st solution

t-98.6≤ 3

t ≤ 3+98.6

t≤ 101.6

2nd solution

-(t-98.6) ≤ 3

-t+98.6 ≤ 3

98.6-3 ≤ t

95.6≤ t

Both:

95.6≤ t ≤ 101.6

Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.

Please complete this very easy attachment!

Answer with an interger!

Answers

Answer:

4

Step-by-step explanation:

4/1=4

7/7=1

Reduce the numbers 4/7 x 7 and it would be 4
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