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Illusion [34]
3 years ago
13

Find the highest common factor of 32 and 80

Mathematics
2 answers:
Mila [183]3 years ago
8 0

Answer:

16

Step-by-step explanation:

The factors of 32 are: 1, 2, 4, 8, <u>16</u>, 32

The factors of 80 are: 1, 2, 4, 5, 8, 10, <u>16</u>, 20, 40, 80

Then the greatest common factor is 16.

valina [46]3 years ago
3 0
32=2*2*2*2*2=2^5
80=2*2*2*2*5

hcf = 2*2*2*2=2⁴=16
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Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)
LekaFEV [45]

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

  • x²−2x − 2=0
  • x²−2x + 1 - 3 =0
  • (x - 1)² - 3 = 0
  • (x - 1)² = 3

Correct choice is D

7 0
3 years ago
adult tickets for the fall play cost $6 and students cost $3. the drama club so 25% more students tickets than adult tickets to
Anton [14]
S = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets

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4 0
3 years ago
Sheila has 12 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds
NeX [460]

Answer:

6 containers needed

Step-by-step explanation:

Given

Total = 12\frac{1}{2}\ lb ----- Size

Container = 2\frac{1}{4}\ lb ----- Size

Required

Determine the number of containers needed

This question illustrates the knowledge of fraction and division.

To get the number of containers needed, we simply divide the total size by the size of the container as follows;

Number = Total/Container

Number = 12\frac{1}{2}/2\frac{1}{4}

Convert to improper fractions

Number = \frac{25}{2}/\frac{9}{4}

Number = \frac{25}{2}*\frac{4}{9}

Number = \frac{100}{18}

Number = 5.5555556

Number = 6 --- Approximated

4 0
3 years ago
Which of the following is an example of a proper fraction? A. 11⁄10 B. 15⁄2 C. 4⁄17 D. 6⁄6
Vera_Pavlovna [14]
The correct answer is c 4/17
8 0
4 years ago
Read 2 more answers
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

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

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

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

Taking logs on both sides

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

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
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