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marusya05 [52]
3 years ago
9

if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 ho

urs?​
Mathematics
2 answers:
wariber [46]3 years ago
4 0

Answer:

48 miles

Step-by-step explanation:

run -- 4 hrs at 8 mph = 4 • 8 = 32 miles

walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles

32 + 16 = 48 miles

yan [13]3 years ago
4 0
4 hours, 8 miles per hour. 8 times 4 equals 32. 8 hours, two miles an hour. 2 times 8 equals 16. Add them up, and you get 48 miles, which is the final answer.
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What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
1 year ago
How many feet are in 24 yards? A. 2 B. 72 C. 288 D. 8
Alinara [238K]
1 yard=3 feet
24 yards=
24 yards=24 times yards=24 times (3feet)=24 times 3 times feet=72 times feet
<span>72 feet is the answer</span>
8 0
3 years ago
Read 2 more answers
A bag contains colored skittles.
Anarel [89]
50%


Explanation: There are 24 skittles in total, 12 of then at green. 12 is half of 24, so, it would be 50%
5 0
3 years ago
Someone help me with this show work
kakasveta [241]
The equation has three factors and equals zero
One of the factors must be zero.
Either 3x = 0 which means x = 0
or x - 4 = 0 which means x = 4
or 3x + 5 = 0 which means 3x = -5 so x = -5/3

The answer is C

E cannot be correct in this question as you are asked to “solve” and not just pick a correct option
3 0
2 years ago
$800 is invested at a rate of 7%. What will be the total amount of the investment after 3 1/2 years?
torisob [31]

Answer:

A = $996.00

Step-by-step explanation:

(I = A - P = $196.00)

Equation:

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 800(1 + (0.07 × 3.5)) = 996

A = $996.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.

4 0
3 years ago
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