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3 years ago

Need help with this question please!!

Mathematics

1 answer:

Andrews [41]3 years ago

4 0

The answer is 5.69 .

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Scott's gas tank is 1/3 full. After he buys 12 gallons of gas, it is 7/9 full. How many gallons can Scott's tank hold?

Bumek [7]

Answer: We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/3x or 1/3 of a full tank.

After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank

So we start with

(1/3)x + 12 = 7/9x

Let's subtract 1/3x from both sides

12 = 7/9x - 1/3x

Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9

12 = 7/9x - 3/9x

Now we simplify to get

12 = 4/9x

Multiply the reciprocal of 4/9 to both sides which is 9/4

12 * 9/4 = x

Answer is 27 gallons.

6 0

2 years ago

Multiply. Do not round your answer. 3.5 × 7.1

rosijanka [135]

Answer:

24.85

multiply 3.5 to 7.1 then move the decimal to the left two times

3 0

3 years ago

The original price of a tortoise is

s344n2d4d5 [400]

$77 since 110 x 0.3 = 33. Then minus this value from 110, then the answer is $77

6 0

3 years ago

Read 2 more answers

A plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane

serious [3.7K]

Answer:

357 passengers

Step-by-step explanation:

$\frac{x}{420}=\frac{85}{100}$ (The $\frac{85}{100}$ is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: $\frac{x}{21}=\frac{85}{5}$ which is $\frac{x}{21}=17$

Finally, multiply 17 by 21 to get x.

Therefore, x=357

3 0

2 years ago

Please show all work with the answers please

kenny6666 [7]

Part A

The angle of elevation of the staire case is given by

$Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o$

Part B:

If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

 $Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o$

5 0

2 years ago