Yesterday, 58 of the 72 students in a contest gave their speeches. How many students gave their speeches? Write your answer in simplest form.

Answers

Answer 1

Answer: so 58 out of 72
therefor
58/72
divide both by 2
58/2=29
72/2=36

29/36
29 is prime so that is simplest form
29/36 is answer

Answer 2

Answer: Lets express this as a fraction in simplest form.

58/72

divide

58/2 = 29
72/2 = 36

29/36 (cannot be simplified further)

Answer: 29/36

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Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

Answers

Let

n-------> the number of nickels

d-------> the number of dimes

we know that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$0.05n+0.10d=13.30$ -----> equation A

$n+d=175$

$d=175-n$ -------> equation B

substitute equation B in equation A

$0.05n+0.10(175-n)=13.30$ ------> equation that can be used to find n

Solve for n

$0.05n+17.5-0.10n=13.30$

$17.5-13.30=0.10n-0.05n$

$0.05n=4.2$

$n=84\ nickel$

find the value of d

$d=175-n$

$d=175-84=91\ dimes$

therefore

the answer is

The equation that can be used to find n is $0.05n+0.10(175-n)=13.30$

The number of nickels in the collection is $84\ nickel$

n + d = 175 .... d = 175 - n
0.05n + 0.10d = 13.30

0.05n + 0.10(175 - n) = 13.30 <== and u would just solve for n

What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?39,062
58,593
195,312
292,968

Answers

If you would like to know the sum of the geometric sequence, you can calculate this using the following steps:

3, 15, 75, 75 * 5 = 375, 375 * 5 = 1875, 1875 * 5 = 9375, 9375 * 5 = 46875, 46875 * 5 = 234375

3 + 15 + 75 + 375 + 1875 + 9375 + 46875 + 234375 = 292,968

The correct result would be 292,968.

Answer:

292,968

Step-by-step explanation:

Step 1: Use geometric sequence formula $s_n=(a1r^n)/(1-r)$

$S_n$ & $n$ = the sum of geometric sequence & terms in total (8)

$r$ = common ratio (5)

$a_1$ = first term in sequence (3)

$s_8=(3(5)^(^8^))/( 1-5 )\ns_8=((3)390625)/(-4)\ns_8= (1171875)/( -4 )\ns_8=292968$

65% of 80 is what number

Answers

Answer:

Step-by-step explanation:

We can find the percent of a number by converting the percent to a decimal.

65%=0.65

80(0.65)=52

To find 65% of 80, first write 65% as a decimal by moving the decimal point 2 places to the left and we will get .65. Next, the word "of" means multiply, so we have (.65) (80) = 52.

Therefore, 65% of 80 is 52.

Can someone help me out real quick?