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ivanzaharov [21]

3 years ago

13

Use front end rounding to estimate the answer. then find the exact answer. lisa's car gets 23 miles per gallon of gasoline. how

many miles can she drive on 59 gallons of gas?

1 answer:

MariettaO [177]3 years ago

8 0

1 gallon ...........23 miles
59 gallons..........x miles
x=23*59=1357 miles

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Simplify the expression by combining like terms:<br><br> 4n+4(2n+3)

Anna007 [38]

First, you do the distributive property on:

4(2n+3)

You would get

8n+12

Then add the original part of the equation in (4n)

4n+8n+12

Combine like terms

12n+12 is the answer

7 0

3 years ago

Read 2 more answers

True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why

Zepler [3.9K]

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

<h3>What is a quadratic equation?</h3>

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

Zero or Root means that when you evaluate the function in that value the outcome is zero.
X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

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8 0

3 years ago

A square painting painting is surrounded by a frame. the outside edges of the frame are 3 inches in length, and the frame is 3 i

sdas [7]

Answer:

Area = 36 $inches ^ 2$

Step-by-step explanation:

There must be an error with the statement, because it is strange that the length of the frame is equal to its thickness.

Assuming that the data supplied is correct, we can do the following procedure.

Let's call L the length of the frame.

We know how much each side of the square measures.

L = 3 inches

We also know that the thickness (s) is:

s = 3 inches.

Then the area of the frame is equal to:

Area = Perimeter * thickness

Area = 4L*s

Area = 3*4*3

Area = 36 $inches ^ 2$

3 0

3 years ago

What expression is equivalent to 7 8/4

NeX [460]

8 1/4
Have A Good Day

4 0

3 years ago

Read 2 more answers

The Atlantic Salmon swim upstream at a steady rate of 2 miles every 3 minutes. Fill in the table to describe the relationship. R

Likurg_2 [28]

The distance traveled by the Salmon is proportional to the duration spent

swimming.

A table of the distance traveled by the Atlantic Salmon is presented as follows;

$\begin{tabular}{|c|c|c}\underline{Time in minutes}&\underline{Miles Traveled at 2/3 miles per minute } \\1&2/3 \\2&4/3\\3&2\\4&8/3\\5&10/3\\6&4\end{array}$

Reasons:

The given parameter are;

The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes

Distance the Salmon swims, d ∝ Time taken, t

Therefore;

d = s·t

Where;

s = The constant of proportionality = The speed

Which gives;

$\displaystyle s = \mathbf{\frac{Distance, \, d}{Time, \, t}}$

The speed with which the Atlantic Salmon swims per minute is therefore;

$\displaystyle The \ speed = \mathbf{\frac{2 \ miles}{3 \ minutes}} = \frac{2}{3} \ miles /minute$

The distance travelled, <em>d</em>, is given as follows;

$\displaystyle d = \mathbf{\frac{2}{3} \times t}$

A table showing the distance travelled by the fish with time is presented as follows;

$\begin{tabular}{|c|c|c|}\underline{Time, t, in minutes}&\underline{t \times d}&\underline{Miles Traveled, d, at 2/3 miles per minute } \\1&1 \times 2/3 = 2/3&2/3 \\2&2 \times 2/3 = 4/3&4/3\\3&3 \times 2/3 = 2&2\\4&4 \times 2/3 = 8/3&8/3\\5&5 \times 2/3 = 10/3&10/3\\6&6 \times 2/3 = 4&4\end{array}$

Learn more about constant of proportionality here:

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8 0

3 years ago