Hope’s mom bakes a cake for hope’s birthday. It is in the shape of a rectangle 10in. long and 6in. wide. If she starts at one corner and puts a candle every 2 inches, how many candles will fit around the edge of the cake?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

so we know the size of 2 edges or sides of the cake 6in and 10in, in a rectangle the opposite sides are the same, so there are 2 6in and 2 10in sides. add them together (6+6+10+10) to get 32in, now divide that by 2(the spacing of the candle) to get 16 candles around the edge.

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Part A: Determine the vertex. What does this calculation mean in the context of the problem?
Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Answers

Answer:

The vertex is the maximum y-value of the function. In terms of context, it is when the most amount of profit is obtained during the hour.

The x-intercepts are when the number when the amount of profit selling coffee is equal to 0.

Hope this helps!!

you have $100 in your savings account & plan to deposit &12.50 each month. how many months will it take you to save enough money to buy 10 acres of land on mars

Answers

12.5 multiplie dy 6 equals 75

100 plus 75 equals 175

which gives you the exact amount of money you need to use to buy 10 acres of land on mars.

so the answer is 6 months

Factor each expession 63+81

Answers

Something wrong with this question. Check it again.
IF
63x+81
= 9(7x+9)

63+81x
= 9(7+9x)

63 + 81 = 9(7 + 9)

Your final answer is 9(7 + 9).

Simplify the expression.

Answers

Answer:

D) 1,814, 400

Step-by-step explanation:

It is permutation.

nPr = n!/(n -r)!

Now we have to use the above formula and simplify.

12P10 = 12! / (12 - 10)!

= 12!/2!

=479001600/2

12P10 = 239,500,800

Now let's find 12P2

12P2 = 12!/(12 -2)!

= 12!/10!

= 479001600 / 3628800

12P2= 132

Now we have to divide 12P10 by 12P2

= 239500800/132

= 1,814,400

This will helpful.

Thank you.

Answer:

1814400

Step-by-step explanation:

We are given the following expression and we are to simplify it:

$\frac {_(12) P_(10) } {_(12) P_2}$

The formula for solving the permutation is:

$nPr = \frac {n!} { (n-r)! }$

Substituting the given values in the formula one by one.

$12P10 = \frac {12!} {(12-10)!} = \frac {12!} {2!} =239500800$

$12P2 = \frac {12!} {(12-2)!} = \frac {12!} {10!} = 132$

Now dividing the two values to get:

$(_(12)P_(10))/(_(12)P_2) = (239500800)/(132) = 1814400$

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.

Answers

Answer:

250 students

Step-by-step explanation:

Another way of saying this is:

40% of all six-grade students are 100 of them.

So,

40% of total is equal to 100

We can translate this into an algebraic equation and solve for the total number of students.

Let total number of students be "t"

Also, note "of" means "multiplication" and "is" means "equal"

Lets translate word equation to algebraic:

"40% of total is equal to 100"

40% * t = 100

Converting percentage to decimal by dividing by 100, we have:

40% = 40/100 = 0.4

Now, we have:

0.4 * t = 100

We can now solve for t:

$0.4 * t = 100\nt=(100)/(0.4)\nt=250$

Hence,

the total number of students is 250

Answer:

250 students

Step-by-step explanation:

A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?

Answers

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1

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