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emmainna [20.7K]
2 years ago
5

You can fill a 15-gallon tank of gas for $35.25 or buy gas for $2.55/gal. Which a better deal and why?

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
5 0

Answer:

The 15-gallon tank of gas for $35.25 is a better deal

Step-by-step explanation:

First we need to find the unit rate for the 15 gallon tank of gas for $35.25 so we divide 35.25 by 15 which equals 2.35. $2.35 is cheaper than the $2.55/gal which makes the 15-gallon tank of gas for $35.25 a better deal.

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Help with this please!!
kompoz [17]

Answer:

Positive hope it help :D

Step-by-step explanation:

Sorry if I’m not right :/

6 0
2 years ago
Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​
pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

8 0
3 years ago
11. A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is
natita [175]

361 congruent square tiles would be needed to cover the square shaped floor.

<h3>Equation</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Since the number of tiles lying on both diagonals is 37. Let x represent the number of tiles on each side.

Counting one tile twice, there are:

  • 37=2x-1
  • x=19 tiles on each side.

19² = 361

361 congruent square tiles would be needed to cover the square shaped floor.

Find out more on Equation at: brainly.com/question/2972832

6 0
2 years ago
To which subsets of the real numbers does 22 belong to?
Vedmedyk [2.9K]
Whole number and integer
8 0
3 years ago
Read 2 more answers
Please help me! I’ll name you brainiest!!!
Kamila [148]

Answer:

80

Step-by-step explanation:

first, put in (5x-4) for the x in g(x).

g(f(x))=(5x-4)^2 -1

now, FOIL and simplify.

25x^2-40x+16-1

25x^2-40x+15

now, plug in -1 for x.

25(-1)^2-40(-1)+15

25+40+15

80

8 0
3 years ago
Read 2 more answers
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