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MatroZZZ [7]
3 years ago
7

a car averages 27 miles per gallon. if gas costs $4.04 per gallon which of the folloiwing is closet to how much the gas would co

st for this car to travel 2727 typicals miles
Mathematics
1 answer:
iren2701 [21]3 years ago
5 0
The cast would be $11,017.08 
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What are the solutions to the quadratic equation below x^2+20x+100=7​
aleksandrvk [35]

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

x^2 + 20x + (100 - 7) = 7 - 7

x^2 + 20x + 93 = 0

Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

\frac{-b±\sqrt{b^{2} - 4ac} }{2a}

In this case:

a = 1

b = 20

c = 93

\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}

\frac{-20 plus/minus\sqrt{400 - 372} }{2}

\frac{-20 plus/minus\sqrt{28} }{2}

^^^We must simplify √28

√28 = 2√7

so...

\frac{-20 plus/minus 2\sqrt{7} }{2}

simplify further:

-10 plus/minus\sqrt{7

-10 + √7

or

-10 - √7

***plus/minus = ±

Hope this helped!

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The coefficient of x in -7xy is -7​
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Answer:

True: the leading coefficient in the monomial is -7

Step-by-step explanation:

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What is the axis of symmetry
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3 0
2 years ago
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
Alika [10]

Answer:

✑ \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \sf{ \frac{30}{40} =  \frac{3}{4}   = 3:4} and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \sf{ \frac{a}{b}} is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ \underline{ \underline{ \sf{Now \: let's \: solve : }}}

☪ \underline{ \sf{Solution}} :

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , \text{5x +2x = 21}

Solve for x :

⇝ \sf{7x = 21}

⇝ \sf{ \frac{7x}{7}  =  \frac{21}{7} }

⇝ \sf{x = 3}

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}

Hope I helped ! ツ

Have a wonderful day / night ♡

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6 0
2 years ago
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