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olchik [2.2K]
2 years ago
14

Can someone simplify and explain how you did it? -10+4(2b+2)=

Mathematics
1 answer:
emmasim [6.3K]2 years ago
4 0
-10+2b+8
-2+8b+8
Calculated sum
-2+8b
Answer is -2+8b
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Seven tenths of a number plus 14 is less than forty-nine
Virty [35]
7/10n + 14 = 49
7/10n = 35
n = 35 x 10/7
n = 50
7 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
2 years ago
Rewrite the equation by completing the square.
kkurt [141]

Step-by-step explanation:

.

.

.

.

.

..1

1

1

1

1

2

2

2

3

3

3

34

4

4

45

5

5

5

56

6

6

5i d

s

6

5 0
3 years ago
Since he's made of metal, Moby weighs a lot. In fact, Tim's weight is only 4 percent of Moby's weight. If Tim weighs 50 kg, how
Ivanshal [37]

Answer:

Moby weighs 1250Kgs

Step-by-step explanation:

Tim is 4% of Moby so

T =4%m

if T is for Tim and Tim weighs 50kgs then

50=4%m

100/4=25

25*50=1250

M = 1250Kgs

8 0
3 years ago
There are 17 members in a travel group. The Venn diagram below shows members that have been to the United
larisa [96]

Answer:  2 .    5

               6       4

Step-by-step explanation:

5 0
3 years ago
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