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Alekssandra [29.7K]

3 years ago

5

you want to buy three books that are on sale at 20% off the original prices of your books are $2.50, 4.95, and 6.00. How much wi

ll you have

1 answer:

Serga [27]3 years ago

6 0

<span>You can take discounts separately and add them, or add them and then take the discount...so,
.2($2.50+$4.95+$6.00) =
.2($13.45) = $2.69 </span>

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Mark earned $40 mowing lawns last week. He spent 3/5 of his money on two books. How much did he spend on those two books?

N76 [4]

First, convert 3/5 to a percent by multiplying it by 20/20, getting 60/100, or 60%. Then, find 60% of 40 by multiplying 60 by 40 to get 2,400 and divide it by 100 to get 24, meaning Mark spend $24 on both books. Each of the books cost $12, as 24/2 is 12.

3 0

3 years ago

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

lukranit [14]

Answer:

- Inverse Variation

- Equation: $XY = 12$

Step-by-step explanation:

Given

X-> 2 | 4 | 8 | 12

Y-> 6 | 3 | 3/2 | 1

Required

- State the type of variation the table represents

- Determine the equation to model the data

To check for type of variation; we'll make use of trial by error method.

To start with; We'll check for direct variation.

This is done using the following expression;

$Y = kX$ where k is the constant of variation

Make k the subject of formula

$k = \frac{Y}{X}$

When Y = 6, X= 2

$K = \frac{6}{2} = 3$

When Y = 3, X = 4

$K = \frac{3}{4}$

There's no need to check further as both values of k are not equal

To check for inverse variation;

$Y = \frac{k}{X}$

Make k the subject of formula

$k = YX$

When Y = 6, X= 2

$K = 6 * 2 = 12$

When Y = 3, X = 4

$K = 3 * 4 = 12$

When Y = 3/2; X = 8

$K = \frac{3}{2} * 8 = \frac{24}{2} = 12$

When Y = 1, X = 12

$K = !2 * 1 = 12$

Note that for all values of X and Y, K remains constant;

Hence, the table represents an inverse direction

To determine the equation;

We make use of $k = YX$

Substitute 12 for k

So, the equation becomes

$12 = XY$

Reorder

$XY = 12$

Hence, the equation is $XY = 12$

4 0

3 years ago

IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?

Bumek [7]

The probability of the union of two events is the sum of their probability, minus the probability of their interserction:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

If we plug the known values into this formula, we have

$\dfrac{3}{5} = \dfrac{1}{3} + \dfrac{2}{5} - P(A\cap B)$

From which we can deduce

$P(A\cap B) = \dfrac{1}{3} + \dfrac{2}{5} - \dfrac{3}{5} = \dfrac{2}{15}$

So, the probability of $A \setminus B$ is a bit less than $P(A)$ , we have to take away all events that belong to B as well:

$P(A \setminus B) = P(A) - P(A\cap B) = \dfrac{1}{3} - \dfrac{2}{15} = \dfrac{1}{5}$

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3 years ago

Show me how to solve 48 divided by 3

Papessa [141]

Answer:

16 3 goes into 48 16 times.

Step-by-step explanation:

48÷3 = 16 3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3=48

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A student is trying to solve the system of two equations given below:

SpyIntel [72]

Answer:

c is the answer since you are trying to make the ys number (-/+) of the value the other y contains

(3) so you will multiply the first equation by -3 to be able to eliminate y

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4 years ago

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