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lawyer [7]
2 years ago
5

Simplify the following expression by combining like terms.

Mathematics
1 answer:
Nikitich [7]2 years ago
4 0

Answer:

5d² - 3d

Step-by-step explanation:

Given

4d² + d² - 2d - d ← collect like terms

= (4 + 1)d² + (- 2 - 1)d

= 5d² + (- 3)d

= 5d² - 3d

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3 years ago
Keenan wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 808080 square centimete
slamgirl [31]

Answer:

<h2>The weight of Keenan's paperweight is 3.33 N.</h2>

Step-by-step explanation:

Givens

  • The base area is 80 square centimeters.
  • The height of the pyramid is 7.5 centimeters.
  • The density of the pyramid is 1.7 grams per cubic centimeters.

First, we find the volume of the figure.

V=\frac{1}{3} (B \times h)

Where B=80cm^{2} and h=7.5 cm.

Replacing values, we have

V=\frac{1}{3}(80)(7.5)=200cm^{3}

The density is defined as

\rho=\frac{m}{V}

Where we need to find the mass m, we already know that \rho=1.7 \ gr/cm^{3} and V=200cm^{3}. Replacing these values, and solving for m

1.7=\frac{m}{200}\\ m=1.7(200)=340 \ gr

Then, we use the weight definition, which is

W=mg

Where m=340 \ gr=0.34 \ kg and g=9.81 m/sec^{2}. Replacing these values, we have

W=0.34(9.81)\\W=3.33 N

Therefore, the weight of Keenan's paperweight is 3.33 N.

8 0
3 years ago
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During the election for class president, 120 of the students voted for Lindsay, and 280 of the students voted for sharif. 400 St
prisoha [69]

Answer:

x=200

Step-by-step explanation:

let 'x' represent the total number of students

0.40x of the students voted for Gerardo

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70 students voted for Leandro:

0.35x = 70

by solving we find:

x = 200 students

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2 years ago
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Lets pick a random number, like 50. Lets decrease and increase it by 50%. After the decrease, you will get 25, but when you increase it by 50%, it's only 37.5. No, because when you decrease it, you have a smaller base, so it increases less than it decreases. 50% of 100 is 50, but 50% of 50 is 25. You can see there is a significant difference.

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3 years ago
Find the difference.<br> -7-(-5)
Dvinal [7]

Answer:

Remember: minus a minus is a plus:

=11

Step-by-step explanation:

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2 years ago
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