Find the volume of the juice box.

Complete Question

The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.  

[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]

Answer:

[tex]\dfrac{108}{329}[/tex]

Step-by-step explanation:

From the table above

Total Number of commuters who used public transportation=329

Number of commuters who spent 60 or more minutes on public transportation=108

Therefore:

Given that a commuter used public transportation,  the probability that the commuter had a commute of 60 or more minutes:

P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]

Answer:

c approximately equals 3.31

Step-by-step explanation:

Answer:

4,000 yards

Step-by-step explanation:

2,000 ft * 6 days = 12,000 feet ran in total

Conversion: 3 feet = 1 yard

12,000 ft = 4000 yards

Answer:

See below.

Step-by-step explanation:

A(x) = x^2 + 5x

A(x) = x^2 + 5x = 14

x^2 + 5x - 14 = 0

(x + 7)(x - 2) = 0

x + 7 = 0  or  x - 2 = 7

x = -7 or x = 2

x is the height of a rectangle.

The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.

The only viable solution for the height is x= 2, because height cannot be a negative value.

A rectangle is a quadrilateral with four right angles.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]

Given,

Area of the rectangle = [tex]x^{2} +5x[/tex] = 14

Then,

[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]

Therefore x = -7 and 2

But the Height cannot be negative therefore x = 2

Hence, only viable solution for the height is x= 2, because height cannot be a negative value.

Learn more about Rectangle, Area and Quadratic equation here

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Answer:

Probability of choosing one club and one spade = 0.6025

Step-by-step explanation:

Total number of cards= 52 cards

For the first event

Probability of choosing a club

Toatal club = 13 cards

Probability of choosing a club

= 13/52

Probability of choosing a club

= 1/4

Probability of choosing a club

=0.25

For the second event

Probability of choosing a spade

Toatal spade = 13 cards

Probability of choosing a spade

= 13/52

Probability of choosing spadep

= 1/4

Probability of choosing a spade = 0.25

Probability of both = 0.25*0.25

Probability of both = 0.6025

Answer:

D. 0.1275

Step-by-step explanation:

Justo took the Pre-Test on Edg (2020-2021)!!

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Answer:

A and B

Step-by-step explanation:

The lines are both in slope intercept form:

y=Mx+b

Where m is the slope and b is the y intercept.

We have 2 lines:

y=1/3x+3

y=1/3x-2

1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.

Therefore, A: the same slopes and B: parallel lines is correct.

In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2

Answer:

25% is .25

75% is .75

20% is .2

100% is 1

37.5% is .375

62.5% is .625

87.5% is .875

12.5% is .125

Step-by-step explanation:

Remember DeeP

D.     __.     ____           P

Decimal.                    Percent

You move over two decimal places to the left if you want to convert 35%, which is .35.

You move over two decimal places to the right if you want to convert .45 which is 45%.

Answer:

36°.

Step-by-step explanation:

To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.

180 - 99 - 45 = 36°.

The measure of the third angle is 36°.

Answer:

84 Square Inches.

Area = Side length x Side length

Look at the attached picture

Hope it will help you

Answer:

The answer is 2/6 .

Step-by-step explanation:

In order to make the denorminator the same, you have to multiply both numerator and denorminator by 2 :

[tex] \frac{1 \times 2}{3 \times 2} [/tex]

[tex] = \frac{2}{6} [/tex]

Answer:

12

Step-by-step explanation:

because 7x2 is 12

Answer:

3n+7

Step-by-step explanation:

Let's say the variable n stands for how many recyclable bottles Natasha collected.

Enrique collected 7 more than double of what Natasha has.

SO

2n+7

We also need to include Natasha's share

(2n+7) + n

OR 3n+7

Answer:

it is just 64-18=48

Step-by-step explanation:

you have to just keep 64 the same and do the 9*2. And sum those outcomes.

Answer:

[tex]9 \dfrac12 m^2[/tex]

Step-by-step explanation:

Tanya has a garden with a trench around it.

Tanya's garden is a rectangle with length [tex]\dfrac12 \text{m}[/tex] and width 2m.

The trench and garden together make a rectangle with length [tex]3 \dfrac12 \text{m}[/tex] and width 3m.

We are to determine the area of just the trench.

Area of just the trench = Area of the trench and garden together-Area of the garden

[tex]=(3 \dfrac12 X 3)-(\dfrac12 X 2)\\\\=( \dfrac72 X 3)-1\\\\=\dfrac{21}{2}-1\\\\=9 \dfrac12 m^2[/tex]

The area of the trench is [tex]9 \dfrac12 m^2[/tex]

Answer:it has two

Step-by-step explanation: x =(3-√89)/4=-1.608

x =(3+√89)/4= 3.108

Answer:

The one in the upper left corner

Step-by-step explanation:

it is a good equation and the wording matches the problem

Answer:

(x,y) = (-6,-5)

Step-by-step explanation:

If you need the explanation let me know.

Answer:

x = -6

y = -5

Step-by-step explanation:

5x - 4y = -10

5x - 5y = -5

__________--

y = -5

5x - 4y = -10

5x - 4(-5) = -10

5x + 20 = -10

5x = -10 - 20

5x = -30

x = -30/5

x = -6

Answer:

(x+8)(x+8)

Step-by-step explanation:

Assuming x2 is x^2

(x+8)(x+8) = x^2 + 16x + 64

Continuation

The Zeros Would Be

x = -8

Hey!!!

Here's your answer:

Hope it will help u.

Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

Answer: C 32

Step-by-step explanation:

Answer:

C 32

Step-by-step explanation:

Answer:

Mal starts with 350 dollar

Each week she adds $30.

W is number of weeks Mal adds money.

S is total amount of money in her account.

=> S =30W + 350

After W = 19 weeks, Mal will have 30 x 19 + 350 = 920 dollar

Answer:

9.958

Step-by-step explanation:

The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.

Answer:

9.958

Step-by-step explanation:

find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.

Answer:

The answer is 17/20

Step-by-step explanation:

idk

Answer (*shrugs*):

Red = 1/5

Green = 9/20

Blue = 1/5

Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula: so the answer is B

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

We can solve this by finding 40% of $60 and the tax which is 5% of $60. We'll get 36 and 3. Add these up and you have an answer.

Have a great day!

Answer:

The area of smaller sector is:

S = pi x 8^2 x 80/360 = 44.68 m2

Hope this helps!

:)

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

Answer:

4

Step-by-step explanation:

A rectangle has a shorter side and a longer side.

The longer side is called the length and the shorter side is called width.

with the 24 tiles you can make the following rectangles (consider the first number the length and the second number the width, and that each unit represents a tile):

24 x 1

12 x 2

8 x 3

6 x 4

A total of 4 different rectangles.

I am not counting the rectangles than have the same sides shifted, for example 2 x 12 because it is the same as 12 x 2 and we are asked for the rectangles to be different.

I attache an image of the sketch of each rectangle with the labels of length and width (not to scale).

Answer:

C y=3x

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 =9

Answer:

C. Y=3x i believe

Step-by-step explanation:

hope this helps