You run 4 3/4 miles through a park each day. If you ran that distance 5 times last week, how many miles did you run?

Answers

Answer 1
Answer: it;s simple you just take 4 3/4 and multiply it by 5
which is 23 3/4 or 23.75
Answer 2
Answer: 23 3/4 because 4.75 ( 4 3/4) * 5 (#days) = 23.75 or 23 3 /4

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What is the value of (16^3/2)^1/2

Answers

Lets see,

16^{{3/2}^(1/2)}=16^(3/2 \cdot 1/2)=16^(3/4)=2^(3)=8.

Hope this helps.

The difference between nine times a number an 7 is -70. find that number

Answers

Let's assume

that number is x

now, we are given

The difference between nine times a number an 7 is -70

nine times of that number is 9x

so, we can set up equation

9x-7=-70

now, we can solve for x

9x-7+7=-70+7

9x=-63

x=-7

so, number is -7.........Answer

Match the situation described in Column A to the answer in Column B.Isabella can complete 2 bead bracelets in 2 h, and Liam can complete 2 bead bracelets in 4 h.
Graph, horizontal axis represents time and goes from zero to nine, vertical axis represents distance in miles and goes from zero to eight, graph is marked for Isabella at two and two and for Liam at four and two
Column A Column B
1.
Liam’s unit rate (bracelets per hour)
2.
Isabella’s unit rate (bracelets per hour)
3.
Number of bracelets Isabella can complete in 4 h
4.
Number of bracelets Liam can complete in 6 h
A.
3
B.
4
C.
1
D.1/2

E.
2
F.1 1/2

Answers

Liam's unit rate is 1 bead bracelet every 2 hrs.Isabella's unit rate is 1 bead bracelet every hr.Isabella can complete 4 bracelets in 4 hours.Liam can complete 3 bracelets in 6 hours

List all of the prime numbers less than 20 in numerical order

Answers

a prime number is a number only divisible by itself and 1 (this excludes decimals and fractions)

surprise, 1 is not prime because it must be divisible by itself and 1 and the factors of 1 are 1 and 1 so 1 is not prime

2 is prime because it is the first even counting number and since all even numbers after 2 are divisble by 2 you can cross out all odd numbers after 2
3 is prime because it is the first odd counting number that satisfies the condition
4 is not because it is even
5 is prime
6 is not because it is even
7 is prime
8 is not because it is even
9 is not
10 is not because it is even
11 is prime
12 is not because it is even
13 is prime
14 is not because it is even
15 is not
16 is not because it is even
17 is prime
18 is not because it is even
19 is prime
20 is not because it is even

so the numbers are 2,3,5,7,11,13,17,19







19, 17, 13, 11, 7, 5, 3, 2

Find the zeros of f(x) = 4x2 + 5x - 21. {-7/4, 3} {7/4, -3} {3/4, -7}

Answers

Answer:

x = - 3, x = (7)/(4)

Step-by-step explanation:

Given

f(x) = 4x² + 5x - 21

To obtain the zeros, equate f(x) to zero, that is

4x² + 5x - 21 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 21 = - 84 and sum = + 5

The factors are + 12 and - 7

Use these factors to split the x- term

4x² + 12x - 7x - 21 = 0 ( factor the first/second and third/fourth terms )

4x(x + 3) - 7(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(4x - 7) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

4x - 7 = 0 ⇒ 4x = 7 ⇒ x = (7)/(4)

Final answer:

You can find the zeros of the function f(x) = 4x² + 5x - 21 by setting the function equal to zero and solving for x using the quadratic formula. Upon solving, you get the zeros as -7/4 and 3.

Explanation:

To find the zeros of the quadratic function f(x) = 4x² + 5x - 21, you need to set the function equal to zero and solve for x. This means solving the equation 4x2 + 5x - 21 = 0. This is a quadratic equation that can be solved using the quadratic formula, x = [-b ± √(b² - 4ac)] / (2a).

Here, a = 4, b = 5, and c = -21. Substituting these values into the quadratic formula gives us x = [-5 ± √((5)² - 4*4*(-21))] / (2*4). Simplifying yields x = {-7/4, 3}.

Learn more about Finding Zeros of a Quadratic Function here:

brainly.com/question/31349704

#SPJ2

A pair of shoes originally cost $42 but is on sale for 33% off. What is the new price?

Answers

Simple...this is a discount problem.

To find the answer to this problem you can find the net price percentage of the shoes by doing...

100%-33%=67%

Now...multiply the original price by the net price percentage...

$42*0.67=$28.14

Thus, the shoes after the discount cost, $28.14
The shoes now cost 28.14. There are many ways of calculating your discount and final purchase price. One way is to multiply 42 dollars by 33 percent, and then divide the answer by one hundred, then subtract that result from the original price. If you follow these steps, you come up with your answer. You save 13.86.