Find the value of x that makes A || B.

Help me!! A water tank is 1/8 full. The tank is 3/4 full when 42 gallons of water is added to the tank. How much can the water t

chubhunter [2.5K]

Answer(s):

1.) 56 gallons

2.) 7 gallons

3.) 28 gallons

Step-by-step explanation:

Q1: How much water can the tank hold?

Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.

42/3 = 14

Now, multiply 14 by the denominator, 4.

14 x 4 = 56.

So, the tank can hold 56 gallons. [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.

Q2: How much water was originally in the tank?

We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]

1/8(56/1) = 7

This means that the tank was originally 7 gallons full. [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]

Q3: How much water is in the tank when it is 1/2 full?

Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.

56/2 = 28

So, when the tank is 1/2 full, it contains 28 gallons. [If you want to double check this answer, take the fraction 28/56 and simplify it. When you do, you get 1/2.]

5 0

3 years ago

Read 2 more answers

Find the total surface area of this prism.

vovangra [49]

2.5 x 10 = 25 m^2
1.5 x 10 = 15 m^2
2 x 10 = 20 m^2
0.5 x 1.5 x 2 = 1.5 m^2 (2 times)
Total = 63 m^2
So just fill in 63.

7 0

3 years ago

36in rounded to the nearest tenth for circumference

WITCHER [35]

Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the tens place () and look to digit to the right (6):

36

Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.

In short: 36 rounded to the nearest tens is 40.

Step-by-step explanation:

8 0

2 years ago

What is 3 In 3 - In 9 expressed as a single natural logarthm? in 3 In 6 In 18 In 27

topjm [15]

Step-by-step explanation:

$3 \: In \: 3 - In \: 9 \\ = 3 \: In \: 3 - In \: {3}^{2} \\ = 3 \: In \: 3 - 2In \: {3} \\ = (3 - 2)In \: 3 \\ = In \: 3 \\$

Thus first option is the correct answer.

8 0

3 years ago

The demand function for a product is modeled by p = 400 − 4x, 0 ≤ x ≤ 100, where p is the price per unit (in dollars) and x is t

lawyer [7]

Answer:

Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200

Step-by-step explanation:

p = 400 - 4x

4x = 400 - p

x = (400 - p) / 4 → x = 100 - p/4

Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)

Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4

P ed = -1 x p

4 (400 - p)/4

= -1 x 4p = -p / (400-p)

4 (400 - p)

Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).

So, Ped = p / (400 - p)

Demand is Elastic when P.ed > 1

p / (400-p) > 1

p > 400 - p

p + p > 400 → 2p > 400

p > 400 / 2 → p > 200

Demand is inelastic when P.ed < 1

p / (400-p) < 1

p < 400 - p

p + p < 400 → 2p < 400

p < 400 / 2 → p < 200

4 0

3 years ago