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3 years ago

a car travels 83 7/10 miles on 2 1/4 gallons of fuel. which is the best estimate of the car travels on one gallon of fuel

Mathematics

1 answer:

Komok [63]3 years ago

5 0

It will travel 39.11 miles on one gallon of fuel
hope it helps :)

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What is the sum of (3x^2+ 5x +6) and (25x^3+ 10x² + 7x– 3)

muminat

Answer:

25x³ + 13x² + 12x + 3

Step-by-step explanation:

(3x²+ 5x +6) + (25x³ + 10x² + 7x– 3)

3x²+ 5x + 6 + 25x³+ 10x² + 7x – 3

25x³ + 3x² + 10x² + 5x + 7x + 6 - 3

25x³ + 13x² + 12x + 3

6 0

3 years ago

Two complementary angles are the ratio if 4:2 find the measure of each angle

strojnjashka [21]

Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....

6 0

4 years ago

If 12,025 was invested at 3.25% compounded monthly 3 years, how much interest will be earned

wariber [46]

Answer:

$1,229.75

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.25% into a decimal:

3.25% -> $\frac{3.25}{100}$ -> 0.0325

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

$A=12,025(1+\frac{0.0325}{12})^{12(3)}$

$A=13,254.75$

Lastly, subtract A from P to get the interest earned:

$13,254.75 - 12,025 = 1,229.75$

6 0

3 years ago

I need help!!!!!!!!!!!

notsponge [240]

Answer:

She teaches 6 classes

5 0

3 years ago

can anyone help me with this ??

Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

$P(n, r) = P(8, 3)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 8 and $r =3$ , we get:

$P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336$

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

$P(n, r) = P(7, 2)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 7 and $r$ = 2 , we get:

$P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42$

D. Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

4 0

3 years ago