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3 years ago

What is the midpoint of (-5,3) and (-2,-3)

2 answers:

7 0

Midpoint formula: ((x1+x2/2), (y1+y2)/2))
Now plug in the values
((-5+-2/2), (3+-3))
-5 + -2 = -7/2 = -3.5
3 + -3 = 0/2 = 0
Solution: midpoint is (-3.5, 0)

qaws [65]3 years ago

5 0

(-2-5)/2 and (-3+3)/2

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Dan earns £9.70 per hour. How much will he earn for 5 hours work?

Mademuasel [1]

Answer:

48.50

Step-by-step explanation:

9.70 x 5

8 0

4 years ago

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What is 7/8 divided by 1/8

eduard

Answer:

Step-by-step explanation:

Concepts:

Division: a system of distributing a collection of things into equal parts

Fractions: #s that represent a part of a whole

Dividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other one
Inverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)

Solving:

1. First, let's set up the equation:

7/8 ÷ 1/8

2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.

3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.

7/8 · 8 = 56/8 = 7

Therefore, 7/8 divided by 1/8 is equal to 7.

8 0

3 years ago

Arturo invests $2700 in a savings account that pay 9% interest, compounded quarterly. If there are no other transactions, when w

Sedbober [7]

The correct formula for this is as follows:
$A=P(1+\frac{r}{n})^{nt}$
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
$4550=2700(1+\frac{0.09}{4})^{4t}$
This equation can be simplified to:
$1.6852=(1.0225)^{4t}$
Taking logs of both sides gives:
$log 1.6852=4t\times log 1.0225$
which can be rearranged to get:
$t=\frac{log 1.6852}{4\times log 1.0225}=5.864$
So it will take about 5.864 years for the amount to reach $4550.

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3 years ago

Please answer #3 only

DedPeter [7]

Answer:

4.75 x 300 is 1,425

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3 years ago

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Atlanta and Cincinnati are 440 miles apart. John leaves Cincinnati for Atlanta while Pat leaves Atlanta for Cincinnati. John dri

Andrei [34K]

Answer:

28mph

Step-by-step explanation:

Let the speed at which Pat drives be xmph.

Now, we know John travels 32mph faster than Pat. Hence, John's speed is (x + 32)mph

The total distance is 440 miles.

Distance = Speed × Time

The distance traveled by each of them after 5 hours is given as follws;

Pat = 5 × x = 5x miles

John = 5(x + 32) miles

Now, if we add both distances, we get the total of 440 miles.

Hence, 5x + 5(x + 32) = 440

5x + 5x + 160 = 440

10x + 160 = 440

10x = 440 - 160 = 280

10x = 280

Hence, x = 280/10 = 28mph

4 0

3 years ago