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levacccp [35]
3 years ago
7

your grade varies directly with the time you study if you study for 40 minutes your grade is an 80 how long should you study to

get a 95
Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

47.5 minutes

Step-by-step explanation:

40 min = 80

x min = 95

40/80 = x/95

3800 = 80x

x = 47.5

-Chetan K

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As an estimate we are told 5miles is 8km convert 68 km to miles ?
Alexxandr [17]

Answer:

42.5miles

Step-by-step explanation:

68÷8= 8.5

8.5×5= 42.5 miles

we use the numbers given to us because we are finding the estimate.

our estimate is correct because 68km= 42.3 miles

4 0
2 years ago
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A car salesman receives a base weekly salary of $150 plus a commission of $325 per car sold. What is the equation that models th
Temka [501]

Given :

Weekly salary , S = $150.

Commission per car , C = $325.

To Find :

The the equation that models the weekly salary of a car salesman.

Solution :

We know it is a quadratic equation :

Let , the equation is , y = mx + c

Here, x is number of car sold in a week.

For  x = 0 ( He will not get commission)

So , Salary is $150 = c .

For x = 1

Salary is $( 150 + 325 ) = $475 = m(1) + c

Therefore , m = $325 and c = $150.

Required linear equation is y = 325x + 150.

Hence, this is the required solution.

5 0
3 years ago
Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.
Inessa05 [86]

Step-by-step explanation:

<u>Given coordinates of the rectangle ABCD:</u>

  • A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

  • AB = a - 0 = a, CD = a
  • AD = b - 0 = b, BC = b

<u>So the coordinates of C are:</u>

  • x = a, y = b

<u>Now the diagonals:</u>

  • AC = √(a-0)² + (b-0)² = √a²+b²
  • BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0
2 years ago
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An account earns simple interest. $300 at 4% for 3 years a. Find the interest earned. $ b. Find the balance of the account. $
aliina [53]
A. take 300*0.04*3 which is $36

b. add $36 to $300
5 0
3 years ago
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What is the greatest common factor of 10, 20, and 50?
Viefleur [7K]

Answer:

10

Step-by-step explanation:

first you need to find the prime factors of the three numbers

ex:

prime factor of 18= 2*3*3

prime of 24=2*2*2*3

there is one 2 and one 3 in common

greatest common multiple 2*3=6

so the greatest common multiple is ten because it is the only one that can divide between all three evenly.

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so 10 is your answer

6 0
3 years ago
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