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Kryger [21]
2 years ago
14

At full price, Melvin would pay 1.6791.6791.679 dollars per liter of gasoline. Using his loyalty card, Melvin only pays 1.4391.4

391.439 dollars per liter. How much less does Melvin pay per liter using his loyalty card?
Mathematics
2 answers:
Nadya [2.5K]2 years ago
7 0

Answer:

Melvin pays 0.24 dollars less using the loyalty card.

Step-by-step explanation:

We are given that,

Original price payed by Melvin = 1.679 dollars per liter

Using the loyalty card, He pays = 1.439 dollars per liter

So, the difference in the amount of money paid by Melvin is,

Difference = Original price - Price using loyalty card

i.e. Difference = 1.679 - 1.439 = 0.24 dollars

Hence, Melvin pays 0.24 dollars less using the loyalty card.

MrRissso [65]2 years ago
3 0

Answer:

Melvin paid 0.24 dollars less per liter, or 14.29% less respect to the full prices

Step-by-step explanation:

Full price: 1.679 dollars per liter

With loyalty card: 1.439 dollars per liter

So, Melvin paid 1.679 - 1.439 = 0.24 dollars less per liter. In percentage term, this represents a discount of (0.24/1.679)*100 = 14.29% respect to the full prices.

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The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

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3 years ago
If an airplane travels 110 mph for 5 hours, what is the total distance traveled?
Sergeu [11.5K]

Answer:

550 miles

Step-by-step explanation:

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Distance = 110mph \times 5h = 550\ miles

3 0
2 years ago
Grace is an hourly employee, and the line that models her total pay in dollars
tresset_1 [31]

Answer: Hello mate!

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

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The expression 6x to the second power gives the surface area of a cube, and the expression x to the third power gives the volume
Furkat [3]

Answer:

Volume = 6 * 6 * 6 = 216 m³

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Step-by-step explanation:

8 0
3 years ago
2ᵃ = 5ᵇ = 10ⁿ.<br> Show that n = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Ba%20%2B%20b%7D%20" id="TexFormula1" titl
11Alexandr11 [23.1K]
There are two ways you can go about this: I'll explain both ways.
<span>
</span><span>Solution 1: Using logarithmic properties
</span>The first way is to use logarithmic properties.

We can take the natural logarithm to all three terms to utilise our exponents.

Hence, ln2ᵃ = ln5ᵇ = ln10ⁿ becomes:
aln2 = bln5 = nln10.

What's so neat about ln10 is that it's ln(5·2).
Using our logarithmic rule (log(ab) = log(a) + log(b),
we can rewrite it as aln2 = bln5 = n(ln2 + ln5)

Since it's equal (given to us), we can let it all equal to another variable "c".

So, c = aln2 = bln5 = n(ln2 + ln5) and the reason why we do this, is so that we may find ln2 and ln5 respectively.

c = aln2; ln2 = \frac{c}{a}
c = bln5; ln5 = \frac{c}{b}

Hence, c = n(ln2 + ln5) = n(\frac{c}{a} + \frac{c}{b})
Factorise c outside on the right hand side.

c = cn(\frac{1}{a} + \frac{1}{b})
1 = n(\frac{1}{a} + \frac{1}{b})
\frac{1}{n} = \frac{1}{a} + \frac{1}{b}

\frac{1}{n} = \frac{a + b}{ab}
and thus, n = \frac{ab}{a + b}

<span>Solution 2: Using exponent rules
</span>In this solution, we'll be taking advantage of exponents.

So, let c = 2ᵃ = 5ᵇ = 10ⁿ
Since c = 2ᵃ, 2 = \sqrt[a]{c} = c^{\frac{1}{a}}

Then, 5 = c^{\frac{1}{b}}
and 10 = c^{\frac{1}{n}}

But, 10 = 5·2, so 10 = c^{\frac{1}{b}}·c^{\frac{1}{a}}
∴ c^{\frac{1}{n}} = c^{\frac{1}{b}}·c^{\frac{1}{a}}

\frac{1}{n} = \frac{1}{a} + \frac{1}{b}
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3 years ago
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