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topjm [15]
3 years ago
10

8. AI, Bob, Carol, and Diane shared a $1000 prize. Bob got twice as much as AI,

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

Al got 150 dollars

Step-by-step explanation:

If we know for certain that Diane receives 100 dollars, than there is 900 left. If Al gets 150, then Bob, getting twice as much, would receive 300, and carol who gets three times as much would get 450. So 450+150+100+300=1000$

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5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of
leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0
3 years ago
HELP DUE NOW! BRANLIEST AND LOTS OF PONTS
Lisa [10]

Answer:

I think it’s a

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you solve (7x + 5) - (3x + 2)
Korolek [52]

Answer:

x = 0.75

Step-by-step explanation:

Simplifying

(7x + -5) + -1(3x + -2) = 0

Reorder the terms:

(-5 + 7x) + -1(3x + -2) = 0

Remove parenthesis around (-5 + 7x)

-5 + 7x + -1(3x + -2) = 0

Reorder the terms:

-5 + 7x + -1(-2 + 3x) = 0

-5 + 7x + (-2 * -1 + 3x * -1) = 0

-5 + 7x + (2 + -3x) = 0

Reorder the terms:

-5 + 2 + 7x + -3x = 0

Combine like terms: -5 + 2 = -3

-3 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x

-3 + 4x = 0

Solving

-3 + 4x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x = 0 + 3

4x = 0 + 3

Combine like terms: 0 + 3 = 3

4x = 3

Divide each side by '4'.

x = 0.75

Simplifying

x = 0.75

6 0
2 years ago
Read 2 more answers
A manufacturing company with 450 employees begins a new product line and must increase their number buy 18% how many total emplo
Soloha48 [4]

Answer:

After increasing their employees by 18% they will now have 531 total employees.

Step-by-step explanation:

0.18 x 450 = 81

81 + 450 = 531

7 0
3 years ago
4x what is close to 97
Hitman42 [59]

Lets try  96

4 x  ?= 96

? = 96/4

= 24

So we see that 4 times 24 is close to 97.

7 0
3 years ago
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