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yarga [219]
3 years ago
9

The first number is 17 the difference between the two numbers on the number line in 9.

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

The second number would be 8 or 16

Step-by-step explanation:

Let x be the unknown number,

Since, first number = 17,

So, the difference between x and 17 = |17 - x |

According to the question,

|17 - x | = 9

17 - x = ± 9

17 - x = 9 or 17 - x = -9

17 - 9 = x or 17 + 9 = x

⇒ x = 8 or x = 26

Hence, the second number would be 8 or 26.

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The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home
JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = \frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons

When they returned, quantity of gas in the tank = \frac{1}{3} \times18=\frac{18}{3} =6\ gallons

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0
3 years ago
Examples of rates in algebra
lbvjy [14]

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Some examples of rate include cost rates, (for example potatoes cost R16,95 per kg or 16,95 R/kg) and speed (for example, a car travels at 60 km/h). When we calculate rate, we divide by the second value, so we are finding the amount per one unit.

7 0
3 years ago
Find the volume of the sphere with a radius, r, of 3/2 feet and π ≈ 3.14.
nalin [4]

Answer:

V= 14.13

Step-by-step explanation:

Information needed:

V= 4/3\pir^3

\pi= 3.14

r= 3/2

Solve:

V= 4/3\pir^3

V= 4/3(3.14)(3/2)^3

V= 4/3(3.14)(27/8)

V= 14.13

3 0
3 years ago
Read 2 more answers
(-2q^4)(-8q^3b^6)<br>help I need to simplify this problem
Montano1993 [528]
Multiply the constants. Multiply the variables according to the rules of exponents.
(-2q^{4})(-8q^{3}b^{6}) = ((-2)(-8))q^{(4+3)}b^{6}\\\\=16q^{7}b^6}
4 0
3 years ago
What expressions are equivalent to z + (z + 6)z+(z+6)
Mariana [72]

z^{2} + 8z + 6

Simplifying:

z + (z + 6)z + z + 6=

z + z^{2}  + 6z + z + 6 =

z^{2} + 8z + 6

4 0
3 years ago
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