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3 years ago

19. 144 miles on 4.5 gallons

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Step-by-step explanation:

To find the amount of miles on one gallon,

$\frac{144 \div 4.5}{4.5 \div 4.5} = \frac{32}{1}$

Hence, 32 miles per gallon.

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Alex73 [517]

Answer:

The length of the shorter piece is $5\textrm{ ft}$ .

The length of the longer piece is $11\textrm{ ft}$ .

Step-by-step explanation:

The five-step method is GUESS method.

Given:

Length of steel beam, $L=16\textrm{ ft}$

Length of longer piece is 1 foot longer than twice the shorter one.

Unknown:

Length of longer and shorter pieces of beam.

Let the length of shorter piece be $x$ feet.

Therefore, the length of longer beam is equal to $1+2x$

Evaluate:

Sum of lengths of longer and shorter pieces of beam is equal to the total length of beam. So,

$x+1+2x=16\\3x+1=16\\3x=16-1\\3x=15\\x=\frac{15}{3}=5$

Substitute and Solve:

Now, we have, $x=5$ .

Substitute 5 for $x$ for the lengths of shorter and longer pieces and solve for each. This gives,

Length of shorter piece = $x=5\textrm{ ft}$

Length of longer piece = $1+2x=1+2(5)=1+10=11\textrm{ ft}$

Therefore, the lengths of shorter and longer pieces are $5\textrm{ ft}$ and $11\textrm{ ft}$ respectively.

6 0

4 years ago

Y−3=2(x+1) Complete the missing value in the solution to the equation. (−1,

MrRa [10]

Answer:

Y=2

Step-by-step explanation:

both sides just have to be the same so y-3 is 2x +1

x is -1 so -2 +1=-1 and y-3=-1

3 0

3 years ago

Read 2 more answers

Find the domain and range of the graph

Lostsunrise [7]

Answer:

The domain is -1 ≤x< 5

The range is -3≤y<3

Step-by-step explanation:

The domain is the values that x takes

The domain is -1 ≤x< 5

The range is the values that y takes

The range is -3≤y<3

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2 years ago

Find the absolute value of the complex number –4.0 – 7.0i. 8.06 8.16 8.6 8.61

FromTheMoon [43]

Answer:

A) 8.06

Step-by-step explanation:

Edge21

5 0

3 years ago

Rewrite the function by completing the square (vertex form) f(x)=x^2+16x-46

insens350 [35]

Answer:

$\large\boxed{f(x)=(x+8)^2-110}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110$

5 0

3 years ago