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3 years ago

The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24?

Mathematics

1 answer:

svp [43]3 years ago

8 0

Answer:

Step-by-step explanation:

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3.20 × 105 gallons of tar (SG = 1.20) is stored in a 20.0-ft tall storage tank. What is the total mass of the liquid in the tank

lilavasa [31]

Answer:

Mass of the liquid in the tank will be $1.45\times 10^8kg$

Step-by-step explanation:

We have given volume of tar $V=3.20\times 10^5gallon$

1 gallon = 3.785 liter

So $3.20\times 10^5gallon=3.20\times 10^{5}\times 3.785=12.112\times 10^5liter$

Specific gravity = 1.2

Density of water $=1000kg/m^3$

We know that specific gravity $=\frac{density\ of\ liquid}{density\ of\ water}$

$1.2=\frac{density\ of\ liquid}{density\ of\ water}$

Density of liquid $=1200kg/m^3$

So mass of liquid = volume × density

= $12.112\times 10^5\times 1200=1.45\times 10^8kg$

So mass of the liquid in the tank will be $1.45\times 10^8kg$

6 0

3 years ago

Determine the least three-digit number that is divisible by 3,5 and 9

Phoenix [80]

Determine the least three digit number that is divisible by 3,5, and 9
135
because 5 • 3 • 9 is 135 and there isn't a three digit number divisible by each of the three numbers

8 0

3 years ago

What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?

jek_recluse [69]

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

(8,0) -----> (8,-3-3) ----> (8,-6)

3 0

3 years ago

A toy is shaped as a triangular prism. The toy has a

Anettt [7]

Answer:

$\huge\boxed{\sf h = 6.75 \ in.}$

Step-by-step explanation:

Given Data:

Base area = $A_{B}$ = 108 in.²

Volume = V = 729 in.³

Required:

Height = h = ?

Formula:

$V=A_{B}h$

Solution:

For h, rearranging formula:

$\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}$

4 0

2 years ago

An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?

zmey [24]

(180-14):2= 166:2= 83° (smaller angle)
(180-14):2+14= 166:2+14= 83+14= 97° (bigger angle)

3 0

3 years ago

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