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MrRissso [65]
2 years ago
11

Write two different expressions that represent the quantity x decreased by 30%.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
4 0

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

    4x = 44

      x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

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if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers
Sauron [17]

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

6 0
3 years ago
in a coin jar, there are 45 nickles. the number of pennies and nickles together equal the number of dimes. there are 2 quarters
fredd [130]

Answer:

45 nickels

30 quarters

60 dimes

15 pennies

Step-by-step explanation:

Quarters:

45÷3=15

15×2=30

Dimes:

30×2=60

Pennies:

60-45=15

HOPE THIS HELPS!!!!!:)

3 0
3 years ago
Please answer these that i circled. If you cant see them tell me. Tell me the ones you can see.
frutty [35]
#6 is 6, #7 is 7, #8 is 2
6 0
2 years ago
5/10 is the same as​
Firdavs [7]

Answer:

1/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
On a coordinate plane, what is the difference between (-2,7) and (-2,-6)?
Shtirlitz [24]
If you mean distance, then we can use the distance formula to find out.

(x - x)² + (y - y)² = d²   Distance formula
(-2 + 2)² + (7 + 6)² = d²   Substitute the points; remember that when you subtract a negative, you add, and also remember to always subtract in the same direction (with the points (1,2) and (3,4), if you do 1 - 3, then do 2 - 4 and not 4 - 2)
(0)² + (13)² = d²   Add
0 + 169 = d²   Square
169 = d²   Add
13 = d   Take the square root of both sides to cancel out the exponent

The distance between (-2,7) and (-2,-6) is 13 units.

Hope this helps!
4 0
3 years ago
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