Casey shared a pizza with some friends. They each ate 1/3 of the pizza. How many people shared the pizza?

Answers

Answer 1

Answer: 3 people shared the pizza.

Answer 2

Answer: 3 people at the pizza

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A backpack that normally sells for $39 is on sale for 30% off. find the amount of the sale price

Answers

26.13 sale price discount 12.87

Asking Again... Jennifer chooses a playing card at random from a deck of 52 cards then she chooses another one. What is the probability that she will get 2 cards that are hearts?

Answers

52 cards in a deck
4 suits
1/4 of 52 are hearts
1/4 of 52=13 cards

probability of getting 1 heart at first is 1/4

one card is taken out and assuming that it is the heart, 13-1=12,52-1=51
12/51

multiply
1/4 times 12/51=3/51=1/17

Estimate the quotient by rounding the expression to relate to a one digit fact

Answers

to estimate you would by finding a number like 20 or 25 that is closest to the number. I don't exactly understand your question though

Chetan and his 5 siblings buy a present for their mother on Mother's Day. As the eldest brother, he pays 0.2 of the cost of the present. The rest of the siblings share the balance equally. Each sibling pays $9.50 less than Chetan. What is the cost of the present.

Answers

Let's say that X is what the other 5 siblings pay. X + $9.50 is what Chetan pays. X + $9.50 is 1/5 of the cost of the present. To solve this we have to do 0.8 divided by 5 (the remaining cost split between 5 people) which is 0.16. Now from this we can learn that $9.50 is 0.04 of the cost of the present. A simple way to solve this is do 1.00 divided by 0.04 and then multiply $9.50 by that amount. 1.00 divided by 0.04 is 25 so $9.50 times 25 is $237.5.
The present costs $237.5
As I read over this I may not be correct, however this is how I solved it as an advanced mathematics grade 8 student.

Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number.35 × 1 1/2 =

Answers

do 35/1 and then make 1 1/2 into an improper fraction (which is 3/2) and you do 35/1 * 3/2 you should get 105/2 and then make it into an mixed fraction.

$35*1 (1)/(2) =35*(3)/(2)=(3*35)/(2)=(105)/(2)=52(1)/(2)$ or $52.5$

What is the slope of a line perpendicular to the following line?

$-7y+ 8x=9$

Answers

Answer:

m = $-(7)/(8)$

Step-by-step explanation:

Finding the slope of the given line

We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.

Start off by subtracting 8x from both sides of the equation to start isolating the variable y.

$-7y=9- 8x$

Now solve for y by dividing both sides of the equation by -7.

$y=(9-8x)/(-7)$

This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:

$y=(-9)/(7) +(8x)/(7 )$

The slope of a line is the coefficient of x, so in this case the slope of the given line ( $-7y+8x=9$ ) is $(8)/(7)$ .

Finding the slope of a line perpendicular to the given line

Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.

For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal ( $-(1)/(2)$ ).

Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.

Slope: $(8)/(7)$

Opposite: $-(8)/(7)$
Reciprocal: $-(7)/(8)$

The slope of the line perpendicular to $-7y+8x=9$ is $-(7)/(8)$ .

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