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Rom4ik [11]
3 years ago
15

Find the unknown value in the proportion: x⁄32 = 76⁄128

Mathematics
2 answers:
Mumz [18]3 years ago
5 0
To do this you cross multiply, so you'd get 128x=512 then you divide 128 on both sides so you get x=512/128 and you get 4.
Vsevolod [243]3 years ago
5 0

Answer:54

Step-by-step explanation:

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Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second ac
const2013 [10]

Answer:

first account with 6% interest ( x ) = $46000

second account with 4% interest ( y ) = $19000

Step-by-step explanation:

Principal = $65000

first interest rate = 6%

second interest rate = 4%

assuming ; X = money invested in first account ,  Y = money invested in second account

hence :

( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520

3900 - 0.06 y  + 2600 - 0.04 x = 3520

0.04 x + 0.06 y = 3900 + 2600 - 3520

0.04 x + 0.06 y = 2980 ----- ( 1)

        x + y = 65000  ------- ( 2 )

solve equation 1 and 2 simultaneously by elimination method

0.04 x + 0.06 y = 2980 ------  ( 3 )

0.06 x + 0.06 y = 3900 ------- ( 4 )

subtract equation 3 form equation 4

0.02 x  = 920 ,   hence x = $46000

therefore y = $65000 - $46000 =  $19000

6 0
3 years ago
3 (x-5) =5<br> what is x?
azamat

Answer: 20/3

So when solving this equation first distribute our 3,we will now have   3x-15=5.

Next we will Add 15 to both sides of our equation. Now we have 3x=20.Then divide our terms,and you will have 3x/3 = 20/3

<u>This will leave you with  1x=20/3. </u>

So the X is 20/3.

      Hope that helped!

8 0
3 years ago
What is the surface area of the triangular prism
Harrizon [31]

Answer:

surface \: a = 9 \times 5 \\  =  45ft \times 2 \\  =   {90}^{2} ft\\ surface \: b =  \frac{1}{2} bh \\  =  \frac{1}{2 }  \times 6 \times 4 \\  = 3 \times 4 \\  = 12 \times 2 \\  =  {144}^{2} ft \\  =  90 + 144 \\  =  {234}^{2} ft

3 0
3 years ago
What is (6x+4) - (4x+2)
Nana76 [90]

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

4 0
2 years ago
9x – 1= 10x + 9<br> What is x equal to
ivolga24 [154]

Answer:

-10=x

Step-by-step explanation:

9x-1=10x+9

9x-10×=9+1

-x=10

x=-10

4 0
3 years ago
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