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Vlad1618 [11]
3 years ago
7

Expand each expression. Then simplify the expression. 7(5 + 4w) + 6(8w - 3)

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

76w + 17

Step-by-step explanation:

7 ( 5 + 4w ) + 6 ( 8w - 3 )

= 7 ( 5 ) + 7 ( 4w ) + 6 ( 8w ) - 6 ( 3 )

= 35 + 28w + 48w - 18

= 28w + 48w + 35 - 18

= 76w + 17

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If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i
navik [9.2K]

Answer: 37 units

Step-by-step explanation:

Blue=144units^2 This also works as the height of the triangle.

Pink=1225units^2 This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

Formula: A=s^2

s=\sqrt[]{A}

Let's work with Blue.

s=\sqrt[]{144units^2} \\s=12units

Now Pink.

s=\sqrt[]{1225units^2}\\s=35units

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units

7 0
3 years ago
Two random samples of 25 people were asked how many 12-ounce cans of soda they consume each week. The first sample contained bot
marysya [2.9K]

Answer:

The mean of Sample #2 is 8

The mean absolute deviation for Sample #2 is 4.08

Step-by-step explanation:

To find the mean for Sample #2, you find the sum of the values in the set and divide it by the number of elements in that set.

18+14+0+7+5+7+10+7+6+9+12+3+14+4+11+6+0+10+9+5+0+16+11+2+4 = 200

200 ÷ 25 = 8

To find the mean absolute deviation for Sample #2, you calculate how far away each data point is from the mean using positive distances. These are the absolute deviations. Afterward, you add those deviations together and divide the sum by the number of data points.

10+6+8+1+3+1+2+1+2+1+4+5+6+4+3+2+8+2+1+3+8+8+3+6+4 = 102

102 ÷ 25 = 4.08

I hope this helps

8 0
3 years ago
data was collected at a tennis court. it showed that being older implies that a player will stay for a shorter length of time. w
lapo4ka [179]

Answer:

There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.

Step-by-step explanation:

The answer was checked

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