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2 years ago

Darla is able to drive her car 37.5 miles per gallon of gasoline. Write the

Mathematics

1 answer:

kupik [55]2 years ago

5 0

3.2 gallons
You see what you do is you divide 120 by 37.5 and you will get the number of gallons

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Given that ABCD is a rhombus, what is the value of x?

SashulF [63]

Answer:

Step-by-step explanation:

A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:

$(4x-25)+x=90$

$4x-25+x=90$ Take out the parentheses

$5x-25=90$ Combine like terms

$5x=115$ Add 25 to both sides so as to isolate the variable

$x=23$ Divide both sides by 5

3 0

3 years ago

Please help fassssst

Zarrin [17]

Answer:

$\dfrac{9}{2}$

Step-by-step explanation:

You can do this using the quadratic equation:

$x =\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

Let's first setup our expression:

4x² + 12x = 135

the quadratic formula is:

ax² + bx + c = 0

4x² + 12x - 135 = 0

Then:

a = 4

b = 12

c = -135

Now we plug in our coefficients and solve:

$x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}$

We solve for both to determine the positive one:

$x =\dfrac{-12+ \sqrt{12^{2}-4(4)(-135)}}{2(4)}$ $x =\dfrac{-12- \sqrt{12^{2}-4(4)(-135)}}{2(4)}$

$x =\dfrac{-12+ \sqrt{144+2160}}{8}$ $x =\dfrac{-12- \sqrt{144+2160}}{8}$

$x =\dfrac{-12+ \sqrt{2304}}{8}$ $x =\dfrac{-12- \sqrt{2304}}{8}$

$x =\dfrac{-12+ 48}{8}$ $x =\dfrac{-12- 48}{8}$

$x =\dfrac{36}{8} = \dfrac{9}{2}$ $x =\dfrac{-60}{8} = \dfrac{-15}{2}$

So if you are looking for a positive solution, just take the positive one as x.

8 0

3 years ago

Is 1/5 bigger or smaller than 1/6

MAXImum [283]

You can tell if you make the denominators the same easiest one is 30 for 6 and 5
1/5=6/30
1/6=5/30

now you can see which is bigger

4 0

3 years ago

Subtract. Express your answer in lowest terms. 10 5/11 - 4 2/11

Zigmanuir [339]

Answer:

6 3 /11

Step-by-step explanation:

10 5/11 - 4 2/11

since they already have a common denominator

10 5/ 11

- 4 2 /11

-------------

6 3 /11

6 0

3 years ago

Read 2 more answers

Help me with #35 parts A-F please help instantly

Zielflug [23.3K]

All you have to do is go to the location of the number and go over the other location of the other number

3 0

3 years ago