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Alex73 [517]
2 years ago
6

NEED QUICK ASSIGNMENT IS OVERDUE

Mathematics
1 answer:
mixer [17]2 years ago
6 0

I gotchu :)

1) 6r + 7 = 13 + 7r    - Subtract 6r from both sides...

   7 = 13 + r       - Subtract 13 from both sides....

<h2>  r = -6   Check answer (don't need this part)</h2>

 6(-6) + 7 = 13 + 7(-6)

  -36 + 7 = 13 -42

   -29 = -29  ( It works )

2) -14 + 6b + 7 - 2b = 1 + 5b    - Combine like terms...

   -7 + 4b = 1 + 5b        - Add 7 to both sides....

    4b = 8 + 5b       - Subtract 5b from both sides....

     -b = 8            - Divide both sides by -1

<h2>       b = -8 </h2><h2></h2>

3) 8x + 4(4x+3) = 4(6x + 4) - 4     - Distributive property

   8x + 16x + 12 = 24x + 16 - 4        Combine like terms

   24x + 12 = 24x + 12       - Both terms equal each other

    0 = 0

Since both terms equal each other, all numbres fit.

<h2>All real numbers</h2>
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lyudmila [28]

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15

Step-by-step explanation:

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3 years ago
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Two polygons are similar with the longest side of one 8 and the longest side of the other 10. Find the ratio of the areas.
liubo4ka [24]
<span>The ratio of sides is, 8:10 = 4:5
squaring it yields, 16:25 
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A new pair of skates cost $75. They are on sale for 10% off. Sales tax is 8%. If you purchased the skates, how much would you pa
Aleonysh [2.5K]

Answer:

72.9

Step-by-step explanation:

10% off 75 gets you to 67.5

8% more than 67.5 is 72.9

5 0
3 years ago
Let u = (1,2), v = (−3,4), and w = (5,0)
sergij07 [2.7K]

Answer:

w-2u-v

Step-by-step explanation:

Given are three vectors u, v and w.

In R^2 we treat first element as x coordinate and 2nd element as y coordinate.

Thus we mark (1,2) in the I quadrant, (-3,4) in II quadrant and (5,0) on positive x axis 5 units form the origin.

b) w=au+bv

We have to find the values of a and b

(5,0) = a(1,2)+b(-3,4)]

Equate the corresponding terms

5=a-3b\\0=2a+4b

Divide II equation by 2 to get

0=a+2b

Eliminate a

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7 0
3 years ago
A 99% confidence interval for the sugar content (per 5 oz. serving) of a shipment of strawberries is 5.9 to 8.3 grams.
gavmur [86]

Answer:

Sample mean = 7.1

Margin of error = 0.465

Step-by-step explanation:

Formula for confidence interval is;

CI = x¯ ± zE

Where;

x¯ is sample mean

z is critical value at confidence level

E is margin of error.

z for 99% Cl is 2.58

We are told the CI is 5.9 to 8.3.

Thus;

5.9 = x¯ - 2.58E - - - - (1)

8.3 = x¯ + 2.58E - - - - (2)

Add both equations together to get;

14.2 = 2x¯

x¯ = 14.2/2

x¯ = 7.1

Put 7.1 for x¯ in eq 1 to get;

5.9 = 7.1 - 2.58E

7.1 - 5.9 = 2.58E

E = 1.2/2.58

E = 0.465

5 0
3 years ago
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