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Aliun [14]
3 years ago
6

Simplify the expression -2(p+4)^2-3+5p.What is the simplified expression in standard form?​

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer: -2x²-11x-35

Step-by-step explanation:

-2(p+4)²-3+5p

-2(x²+8x+16)-3+5x

-2x²-11x-35

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what is the vertical height of interverted cone with the diameter of 6 cm and the slant height of 6cm?
den301095 [7]

"interverted" or "inverted?"

The vertical height of an inverted cone with base diameter 6 cm and slant height of 6 cm can be found using the Pyth. Thm. Draw or imagine a triangle whose height is h and whose base is 3 cm (not 6) and whose hypotenuse is 6 cm.

Then h^2 + (3 cm)^2 = (6 cm)^2, or h^2 + 9 cm^2 = 36 cm^2, or h^2 = 27 cm^2.

Then the height of the triangle, as well as of the cone, is h = +√27, or

h = +3√3.

6 0
3 years ago
Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
Goryan [66]

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X <u><</u> 10

11/2 X <u><</u> 8

11X <u><</u> 16

X <u><</u> 1 6/11

So he can make only one batch of cookies.

3 0
3 years ago
Nick decided to take 2/5 of the money in his bank account and donate it to a local charity. If nick donated $70 to a local chari
S_A_V [24]

Answer:

<u> The total amount = $175</u>

Step-by-step explanation:

Let the total amount in his bank account = x

Nick decided to take 2/5 of the money in his bank account and donate it to a local charity

So, he donates with \frac{2}{5} x

If nick donated $70 to a local charity

so, \frac{2}{5} x = 70

solve for x

∴ x = 5*70/2 = 350/2 = $175

<u>So, The total amount = $175</u>

3 0
3 years ago
The ratio of blue shoes to green shoes is 5:2.
ValentinkaMS [17]

Answer:

12

Step-by-step explanation:

6 * 5 is 30 6*2 is 12

7 0
3 years ago
Read 2 more answers
Find the perimeter and area of the figures of 6ft and 8ft?
Svetradugi [14.3K]
The perimeter is 28 and the area is 24
4 0
2 years ago
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