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Anna [14]
3 years ago
8

Peter works in the shipping department of a toy manufacturer. Toy cars weigh 10 pounds apiece and are shipped in a container tha

t weighs 10 pounds when empty. Toy trucks, which weigh 8 pounds apiece, are shipped in a container weighing 20 pounds. When packed with toys and ready for shipment, both kinds of containers have the same number of toys and the same weight. What is the weight of each container?
Mathematics
1 answer:
Butoxors [25]3 years ago
8 0

Answer: 5 pounds

Step-by-step explanation:

Set 10x+10 equal to 8x+20 and solve

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Which expression is equivalent to the expression 4(6+y)+7?
natita [175]

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

7 0
3 years ago
Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes​
gtnhenbr [62]

Answer: the graph crosses the x-axis at x = -3

<u>Step-by-step explanation:</u>

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3)    with a multiplicity of 3

-3 = x           with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

<em />

<u>Graph:</u>

  • Leading coefficient is POSITIVE so right side goes to +∞
  • Degree of polynomial is ODD so left side goes to -∞

<em>graph is attached</em>

6 0
3 years ago
What is the sum of x2-3x+7 and 3x2+5x-9
Ghella [55]
(x² - 3x + 7) + (3x² + 5x - 9)
(x² + 3x²) + (-3x + 5x) + (7 - 9)
4x² + 2x - 2
5 0
3 years ago
Kevin and randy muise have a jar containing 87 ​coins, all of which are either quarters or nickels. the total value of the coins
boyakko [2]
Let x be the amount of nickels and y be the amount of quarters in a jar. Totally there are 87 coins, then x+y=87.

Since nickel is 5 cent coin and quarter is 25 cent coin, then 5x+25y=1255 ($12.55=1255 cents). Solve this system:x=87-y and 5(87-y)+25y=1255.
435-5y+25y=1255,
25y-5y=1255-435,

20y=820,
y=820÷20,
y=41,
x=87-41=46.
Answer: 46 nickels and 41 quarters.

4 0
3 years ago
Given V = 2_r2h, solve for h
meriva
The equation given in the question is 
V = <span>2πr^2h
h = V/ </span>2πr^2
I hope the procedure is clear enough for you to understand. I hope that this is the answer that you were looking for and the answer has actually come to your desired help. I personally thank you for choosing brainly.com as your preferred website.
8 0
3 years ago
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