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Ipatiy [6.2K]
3 years ago
15

20 POINTS

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

D. 6x^3 + 8x

Step-by-step explanation:

2x(3x^2 + 4)

Distribute the 2x

2x(3x^2) +2x( 4)

6x^3 +8x

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HELP PLZ SUPER EZ HURRY Please some1 help me. jodi built a rectangular sandbox for her daughter. The sand measures 6 feet 5 feet
nexus9112 [7]

Answer:

To fill the sandbox, she would need 15 cubic feet.

Step-by-step explanation:

To find the volume of a box, multiply all of its dimensions together.

6ft * 5ft * 1/2ft = 15ft^3

So, since she bought 20 cubic feet of sand, she should have enough with 5 cubic feet left over.

7 0
3 years ago
Graph this parametric equation<br><br> x = 2t y = t + 5, -2 ≤ t ≤ 3
UNO [17]
We are given the following data: <span>x = 2t, y = t + 5, -2 ≤ t ≤ 3. The data is valid since there are three unknowns in this problem and that three equations would suffice to answer the problem. 

We start with the given </span>-2 ≤ t ≤ 3 then substitute y = t +5 by using the limits of the range:

at t = -2 ; y = -2 + 5 = 3
at t = 3, y = 3+5 = 8

for the second equation

at t = -2 ; x = 2*-2 =-4
at t=3; x = 2*3 = 6

we group the points based on their original corresponding t's 

(3,-4) and (8,6) we just have to connect these points along with the internal points in between. The relationship should be linear.
6 0
3 years ago
Which expression is equivalent to 3x + 2.5(4x + 2)?
Alex787 [66]

Answer:

I think its B

Step-by-step explanation:

Hope this helps:)

6 0
2 years ago
Read 2 more answers
The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol
soldi70 [24.7K]

the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³  and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

-

2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)  

= 1080 + 660

= $1740

So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

3 0
3 years ago
There are 212 pupils in a
frutty [35]

Answer:

120

Step-by-step explanation:

3/8 3*8=24, 24+3 = 27

5/12 5*12 =60 60÷5= 65

27 + 65 = 92

212-212- 92=120

5 0
2 years ago
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