3 years ago

If EG=49, EF=2x+3, and FG=4x-2, find x. Then find EF and FG. Justify your work.

Mathematics

1 answer:

harina [27]3 years ago

4 0

Answer:

Step-by-step explanation:

2x + 3 + 4x - 2 = 49

6x + 1 = 49

6x = 48

x = 8

EF: 2(8) + 3 = 16 + 3 = 19

FG: 4(8) - 2 = 32 - 2 = 30

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Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is. Please help by computing the rati

alisha [4.7K]

Answer:

7 : 1

Step-by-step explanation:

Paul's car goes 40 kilometers on 7 tanks.

Distance : Tanks

49 : 7

Fuel efficiency means the distance traveled by the car in one tank.

Therefore, we will reduce the ratio by dividing both sides by 7.

Distance : Tanks

$\frac{49}{7}$ : $\frac{7}{7}$

7 : 1

Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.

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3 years ago

What is 12.25 as a fraction

Finger [1]

Answer:

$\large\boxed{12.25=\dfrac{49}{4}}$

Step-by-step explanation:

$12.\underbrace{25}_{2}=\dfrac{1225}{1\underbrace{00}_2}=\dfrac{1225:25}{100:25}=\dfrac{49}{4}\\\\12.25=12+0.25=12+\dfrac{25}{100}=12+\dfrac{25:25}{100:25}=12+\dfrac{1}{4}\\\\=\dfrac{12\cdot4}{4}+\dfrac{1}{4}=\dfrac{48+1}{4}=\dfrac{49}{4}$

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3 years ago

Jerod is making candles from beeswax. He has 132.72 ounces of beeswax. If each candle uses 8.4 ounces of beeswax, how many whole

photoshop1234 [79]

Answer:

15 candles

Step-by-step explanation:

132.72÷8.4=15.8

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3 years ago

What is the value of 4 x 3 divided by (12 divided by2)^2

Digiron [165]

Answer:0.333

Step-by-step explanation:

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3 years ago

Read 2 more answers

Round your answer to the nearest hundredth AC=

KatRina [158]

Answer:

AC ≈ 2.96

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos65° = $\frac{adjacent}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{AC}{7}$

Multiply both sides by 7

7 × cos65° = AC , thus

AC ≈ 2.96 ( to the nearest hundredth )

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3 years ago