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Tju [1.3M]
3 years ago
7

X - 3(x – 7) = 4(x – 7) – 2x​

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

x = 12.25

Step-by-step explanation:

Given

x - 3(x - 7) = 4(x - 7) - 2x ← distribute parenthesis on both sides

x - 3x + 21 = 4x - 28 - 2x ← simplify both sides

- 2x + 21 = 2x - 28 ( subtract 2x from both sides )

- 4x + 21 = - 28 ( subtract 21 from both sides )

- 4x = - 49 ( divide both sides by - 4 )

x = \frac{49}{4} = 12.25

vichka [17]3 years ago
6 0

Answer: x=12.25

Step-by-step explanation: First, multiply the numbers into the parentheses. You will get:

X -3x +21 = 4x -28 -2x

Combine like terms.

-2x +21 =2x -28

Isolate x by adding 2x to each side.

21 =4x -28

Add 28 to each side to get x by itself.

49=4x

Divide by 4.

X =12.25

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The perimeter of a rectangle must be less than 156 feet. If the length is known to be 66 feet, find the range of possible widths
balu736 [363]

x = perimeter

x<156

length = 66

so, in order to calculate perimeter you need to add two lengths and two widths

so

156 (perimeter) - 2 (66) = two widths

156 - 132 = 24 (remember this number is two widths added together)

so 24 twice the width SO 12 would be the number that the width can't be larger than

the width has to be less than 12

w < 12

5 0
3 years ago
1. A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit
kykrilka [37]

Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND  time rabbit spends hopping can be expressed  as  t

From the question,  The number of feet varies directly with the time rabbit spends hopping can be expressed  as

N α t

Let us introduce a constant of proportionality ,S which represents  speed in this case, we now have that

N = St

STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6=  S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12=  S X 4

S = 12/ 4

S = 3

Also recall

that Speed = Distance / time

Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

5 0
3 years ago
Dan invests £800 into his bank account.
Ronch [10]

Answer:

£160

Step-by-step explanation:

Ammount he receives per year times 4.

800 x 0.05 x 4

= £160

6 0
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How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?
goblinko [34]

Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

x^{6} would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

2 ⋅ 4 = 8

x^{8} would be the answer.

8 0
3 years ago
Express the Fraction 6/22 as a percent. Round the answer to the Nearest whole percent. PLZ GUYS I REALLY REALLY NEED THIS ANSWER
Alina [70]

Answer:

27%

Step-by-step explanation:

Divide 6 by 22 you get 0.2727. Then you move the decimal two places to the right because you multiply by 100 to make it a percent. So you get 27% as your answer.

6 0
3 years ago
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