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Burka [1]
3 years ago
14

Endpoint P(5, -3) and Q(2,4)

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

The midpoint of these two points would be (3.5, 0.5)

In order to find this, you need to take the average of the two point that you have.  To do that, add the numbers together and divide by 2. Start with just the x values.

(5 + 2)/2 = 3.5

Now the y values

(-3 + 4)/2 = 0.5

This gives us the ordered pair of (3.5, 0.5)

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How many gallons of a 3% salt solution must be mixed with a 7% salt solution to obtain 100 gallons of a 5% salt solution.
MrRissso [65]

Answer:

50 gallons of each.

Step-by-step explanation:

6 0
2 years ago
Jannie has a budget of $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many
marysya [2.9K]
240-95=145
145÷22.50=6.44444
OR about 6 shirts
6 0
3 years ago
Find two consecutive integers such that four times the larger exceeds three times the smaller by 23
Bad White [126]
CONSECUTIVE NUMBERS; x, x+1
(x+1)4=3(x)+23
4x+4=3x+23
4x-3x=23-4
x=19
x+1=20
THEREFORE  the consecutive numbers are 19&20
3 0
3 years ago
There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c
VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0
3 years ago
If the customer rolls the dice and rents a second movie every Thursday for 20 consecutive weeks, what is the total amount that t
VMariaS [17]

Answer:

The expected amount for a duration of 20 weeks is $9.4

<em></em>

Step-by-step explanation:

Read attachment to understand the complete question

From the question, we have the following given parameters:

x = Amount paid for a second movie

E(x) = 0.47 --- Expected value of x

SD(x) = 0.15 --- Standard deviation of x

Required

Determine the total amount paid for a second movie for 20 weeks

The required implies that we calculate the expected value for a duration of 20 weeks.

i.e.

n = 20

If

E(x) = 0.47

Then:

E(nx) = n * E(x)

Substitute 20 for n

E(20x) = 20 * E(x)

Substitute 0.47 for E(x)

E(20x) = 20 * 0.47

E(20x) = 9.4

<em>Hence, the expected amount for a duration of 20 weeks is $9.4</em>

6 0
3 years ago
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