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3 years ago

A car traveled 180 miles and used 6 gallons

Mathematics

2 answers:

Anna [14]3 years ago

8 0

Answer:The answer is 42 gallons.

Step-by-step explanation:

The car traveled 180 miles on 6 gallons of gas, so it got 30 miles per gallon. So divide 1260 by 30 to find the number of gallons needed to go 1260 miles.

kicyunya [14]3 years ago

4 0

42 gallons is the answer

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Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.

prisoha [69]

Answer:

A. 2 1/4 + 3 2/5

B. 113/20

Step-by-step explanation: For A: All you had to do was multiply -1(-3 2/5) and that was going to make your answer positive because the negatives were going to cancel each other out.

For B: First you had to make your fractions improper fractions instead of mixed numbers. And that would make it 9/4 + 17/5. Next, since they don't have the same denominator, you would have had to find the least common multiple of 5 and 4 which is 20. So then how ever many times your denominator went in to 20, that's what you'll multiply your numerator by. 45/20 + 68/20= 113/20

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3 years ago

If Joey had 5,000,000 dollars and spent 28% of the money, how much will he have left?

Mrac [35]

Answer:

3600000

Step-by-step explanation:

5000000*.28 = 1400000

5000000-1400000 = 3600000

5 0

3 years ago

(x – 3)(4x + 2) using the distributive property. Select the answer choice showing the correct distribution

Nataly [62]

The distributive property: a(b + c) = ab + ac

(x - 3)(4x + 2) = (x)(4x + 2) + (-3)(4x + 2)

= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6

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3 years ago

Please help due today

otez555 [7]

The answer is c
12.4 feet by 9.5 feet

4 0

3 years ago

Match each series with the equivalent series written in sigma notation

PIT_PIT [208]

Answer:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

$3 + 12 + 48 + 192 + 768$

The expression can be written as:

$3 \to 3*4^{0$ --- 0

$12 \to 3 * 4^{1$ ---- 1

$48 \to 3 * 4^{2$ --- 2

$192 \to 3 * 4^{3$ ---- 3

$768 \to 3 * 4^{4$ ---- 4

For the nth term, the expression is:

$Term = 3 * 4^{n$ ---- n

So, the summation is:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

Solving (b):

$4 + 32 + 256 + 2048 + 16384$

The expression can be written as:

$4 \to 4 * 8^0$ --- 0

$32 \to 4 * 8^1$ ---- 1

$256 \to 4 * 8^2$ --- 2

$2048 \to 4 * 8^3$ ---- 3

$16384 \to 4 * 8^4$ ---- 4

For the nth term, the expression is:

$Term \to 4 * 8^n$ ---- n

So, the summation is:

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

Solving (c):

$2 + 6 + 18 + 54 + 162$

The expression can be written as:

$2 \to 2 * 3^0$ --- 0

$6 \to 2 * 3^1$ ---- 1

$18 \to 2 * 3^2$ --- 2

$54 \to 2 * 3^3$ ---- 3

$162 \to 2 * 3^4$ ---- 4

For the nth term, the expression is:

$Term \to 2 * 3^n$ ---- n

So, the summation is:

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

Solving (d):

$3 + 15 + 75 + 375 + 1875$

The expression can be written as:

$3 \to 3 * 5^0$ --- 0

$15 \to 3 * 5^1$ ---- 1

$75 \to 3 * 5^2$ --- 2

$375 \to 3 * 5^3$ ---- 3

$1875 \to 3 * 5^4$ ---- 4

For the nth term, the expression is:

$Term \to 3 * 5^n$ ---- n

So, the summation is:

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

5 0

3 years ago