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olga nikolaevna [1]
2 years ago
9

You’re making deliveries and can travel 324 miles on 18 gallons of gas. How far can you travel on 41 gallons of gas?

Mathematics
2 answers:
AysviL [449]2 years ago
7 0

Answer:

738 miles

Step-by-step explanation:

Use a proportion.

324 miles is to 18 gallons as x miles is to 41 gallons.

324/18 = x/41

Reduce the left fraction.

18/1 = x/41

x = 18 * 41

x = 738

Answer: 738 miles

sukhopar [10]2 years ago
4 0

Answer:

738 miles

Step-by-step explanation:

324 miles = 18 gallons

18 miles = 1 gallon

738 miles = 41 gallons

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4 0
3 years ago
June father is six times as old as June the sum of their age is no less than 77 what is the youngest age June can be
alexgriva [62]
Let June's age be
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Then his father is
6x \: years

The sum of their ages is no less than 77 means,
x + 6x \geqslant 77
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6 0
2 years ago
Help please been stuck on this for a week.
Anettt [7]
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6 0
3 years ago
Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6
son4ous [18]
Y = 3x^2 - 3x - 6 {the x^2 (x squared) makes it a quadratic formula, and I'm assuming this is what you meant...}

This is derived from:
y = ax^2 + bx + c

So, by using the 'sum and product' rule:

a × c = 3 × (-6) = -18

b = -3

Now, we find the 'sum' and the 'product' of these two numbers, where b is the 'sum' and a × c is the 'product':

The two numbers are: -6 and 3

Proof:

-6 × 3 = -18 {product}

-6 + 3 = -3 {sum}

Now, since a > 1, we divide a from the results

-6/a = -6/3 = -2

3/a = 3/3 = 1

We then implement these numbers into our equation:

(x - 2) × (x + 1) = 0 {derived from 3x^2 - 3x - 6 = 0}

To find x, we make x the subject of 0:

x - 2 = 0

OR

x + 1 = 0

Therefore:

x = 2

OR

x = -1

So the x-intercepts of the quadratic formula (or solutions to equation 3x^2 - 3x -6 = 0, to put it into your words) are 2 and -1.


We can check this by substituting the values for x:

Let's start with x = 2:

y = 3(2)^2 - 3(2) - 6
= 3(4) - 6 - 6
= 12 - 6 - 6
= 0 {so when x = 2, y = 0, which is correct}

For when x = -1:

y = 3(-1)^2 - 3(-1) - 6
= 3(1) + 3 - 6
= 3 + 3 - 6
= 0 {so when x = -1, y = 0, which is correct}
7 0
3 years ago
Read 2 more answers
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