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Iteru [2.4K]
4 years ago
5

Use the distributive property to expand the following expression: -4(2a + 6b - 7)

Mathematics
2 answers:
Alex73 [517]4 years ago
8 0

Answer:

-8a-24b=28. A simplified equation would be -32a+28

Step-by-step explanation:

First we have to multiple every number in the parentheses by (-4). This would give us -8,-24, and 28. Then we just replace the values and simplify by combining -8 and -24

Semenov [28]4 years ago
5 0

Answer:

-8a - 24b + 28

Step-by-step explanation:

When you distribute, you multiply each number inside of the parentheses by the number outside of the parentheses.

Distribute:

-4(2a + 6b - 7)

-4(2a) -4(6b) -4(-7)

Multiply:

-4(2a) -4(6b) -4(-7)

-8a - 24b + 28

That's it! Hope this helps :)

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const2013 [10]

Answer:

The ratio of bananas to apples is 9 : 4. The ratio of plums to apples is 3 to 4. For every 4 apples, there are 3 plums. For every 3 bananas there is one plum

7 0
3 years ago
A chain lying on the ground is 10 m long and its mass is 70 kg. How much work (in J) is required to raise one end of the chain t
DerKrebs [107]

Answer:

W= 34.3 \frac{kg}{s^2} (4^2-0^2)m^2 =548.8 \frac{kg m^2}{s^2} =548.8 J

Step-by-step explanation:

Data Given: m = 70 kg , g = 9.8 ms^-2, h =10m.

For this case we can use the following formula:

W = \int_{x_i}^{x_f} F(x) dx

For this case we need to find an expression for the force in terms of the distance. And since on this case the total distance is 10 m long we can write the expression like this:

F(x) = \frac{ma}{10m}= \frac{mg}{10m} x

The only acceleration on this case is the gravity and if we replace the values given we got:

\frac{70 kg *9.8 m/s^2}{10m} x=68.6 x\frac{kg}{s^2}

Now we can find the required work with the following integral:

W= 68.6 \frac{kg}{s^2} \int_{0}^4 x dx

W= 34.3 \frac{kg}{s^2} x^2 \Big|_0^4

W= 34.3 \frac{kg}{s^2} (4^2-0^2)m^2 =548.8 \frac{kg m^2}{s^2} =548.8 J

7 0
4 years ago
50 POINTS PLEASE HELP
omeli [17]

Answer:

the third one

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Harry's salary yields a net income of $48,600 a year. Harry is paid twice a month by his company and earns _______ every paychec
AleksAgata [21]
He earns 4,050 every month
4 0
3 years ago
The length of a rectangle is 3 cm more than twice the width. The area of the rectangle is 65 square centimeters. Find the dimens
polet [3.4K]

Answer:

5 cm and 13 cm

Step-by-step explanation:

Let b be the width of the rectangle.

Length = 3+2b

The area of the rectangle is 65 cm²

We need to find the dimensions of the rectangle. The area of a rectangle is given by :

A = lb

65=(3+2b)b\\\\65=3b+2b^2\\\\3b+2b^2-65=0\\\\b=5\ cm,-6.5\ cm

Neglecting the negative value, the width of the rectangle is 5 cm.

Length = 3+2b

=3+2(5)

=3+10

=13 cm

Hence, the dimensions of the rectangle are 5 cm and 13 cm.

6 0
3 years ago
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