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lutik1710 [3]
3 years ago
8

A van can travel 18 miles on each gallon of gasoline. at that rate how many miles can the van travel on 15 gallons of gasoline

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
7 0
18 / 1 = x / 15......18 miles to 1 gallon = x miles to 15 gallon
cross multiply
(1)(x) = (18)(15)
x = 270 miles
Ronch [10]3 years ago
5 0
18mpg * 15gal = 270 miles
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rise over run (change in y divided by change in x)

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Read 2 more answers
2. Given two consecutive positive EVEN integers, the square of the largest minus
Black_prince [1.1K]

Answer:

26

Step-by-step explanation:

2. Given two consecutive positive EVEN integers, the square of the largest minus 10 times the smaller is 76. What is the sum of the two integers?

I'll call the two integers a and b.    a=b+2

a² - 10b = 76

(b+2)² - 10b =76

(b+2)(b+2) -10b = 76

b² +2b + 2b +4  -10b = 76

b² +4b + 4  -10b  = 76

b² -6b + 4 =76  subtract 76 from both sides to get the right side equal to zero

b² -6b +4 -76 = 0

b² -6b - 72 = 0  what factors of -72 add up to -6? The two that work are -12, 6

(b-12)(b+6) = 0   so  b-12  = 0   or b+6  =  0

                                 <u>+12  +12</u>         -<u>6     -6</u>

                                  b = 12      or     b = -6  but b must be positive so b=12, a=14  

a+b= 14+12 = 26

7 0
3 years ago
1. Does the function have a minimum or maximum value?
Artyom0805 [142]

the tale-tell fellow is the coefficient of the squared variable, namely -2 of x². Since the coefficient is negative, the parabola opens downwards, like the one in the picture below, so it goes up up up, reaches a maximum, then goes back down down down.

\bf \textit{vertex of a vertical parabola, using coefficients}\\\\g(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+20}x\stackrel{\stackrel{c}{\downarrow }}{-49}\qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right)\\\\\\\left(-\cfrac{20}{2(-2)}~~,~~-49-\cfrac{20^2}{4(-2)}  \right)\implies \left(5~~,~~-49+\cfrac{400}{8}  \right)\\\\\\(5~~,~~-49+50)\implies (5,1)

6 0
3 years ago
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