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2 years ago

15

The cafeteria at a summer camp gives each camper 2/3 cup of juice for breakfast. This morning, 50 campers had juice for breakfas

t. How much juice did the cafeteria serve in all?

1 answer:

qaws [65]2 years ago

6 0

2/3 x 50/1 = 100/3 or 33 1/3

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Insert the parenthesis to make the equality right:<br><br> 30-49/42/6*8=184

Alika [10]

(6*8) is where the parentheses should go

5 0

3 years ago

Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l

Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

So

$T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200$

43,200 serial numbers can be generated

8 0

3 years ago

William invested $5000 in an account that earns 3.8% interest, compounded annually. The formula for compound interest is A(t) =

Anestetic [448]

I think you have mistaken the formula.
I will do it this way.

Interest after 6 years: 1.038^6 × $5,000

Thus, amount after 6 years = $6,253.95

6 0

2 years ago

Read 2 more answers

How do you factor this trinomial 4a^2-4a+1

ElenaW [278]

Answer:

$(2a-1)(2a-1)$

Step-by-step explanation:

To write the factored form, multiply a*c from the standard form $ax^2+bx+c$ . Here it is 4*1 = 4.

Then find factors of 4 that add to b=-4.

4: 1,2,4

-2+-2 = -4

Split the middle term into -2x+-2x and factor by grouping.

$4a^2-2a+-2a+1\\(4a^2-2a)+(-2a+1)\\2a(2a-1)-1(2a-1)\\(2a-1)(2a-1)$

4 0

2 years ago

If a+b+c =0 show that a³+b³+c³= 3abc

slega [8]

Answer:

Step-by-step explanation:

a+b+c=0, a+b=-c,a+c=-b, b+c=-a

(a+b+c)^3=(a+b+c)^2*(a+b+c)=(a^2+b^2+c^2+2ab+2ac+2bc)*(a+b+c)=

a^3+ab^2+ac^2+2a^2b+2a^2c+2abc+a^2b+b^3+bc^2+2ab^2+2abc+2b^2c+a^2c+b^2c+c^3+2abc+2ac^2+2bc^2=a^3+b^3+c^3+3a^2b+3a^2c+3ac^2+3ab^2+3bc^2+3b^2c+6abc=

a^3+b^3+c^3+3a^2*(b+c)+3c^2(a+b)+3b^2(a+c)+6abc=

a^3+b^3+c^3+3a^2*(-a)+3c^2*(-c)+3b^2*(-b)+6abc=

a^3+b^3+c^3-3a^3-3c^3-3b^3+6abc=

6abc-2a^3-2b^3-2c^3=2(3abc-a^3-b^3-c^3)=

2*[3abc-(a^3+b^3+c^3)]=0

so 3abc-(a^3+b^3+c^3)=0

so a^3+b^3+c^3=3abc

7 0

3 years ago