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VladimirAG [237]
3 years ago
13

What is the value of x in the equation 6x +2y=48 when y=3

Mathematics
2 answers:
ser-zykov [4K]3 years ago
6 0

Answer:

7

Step-by-step explanation:

2* 3 = 6

then you do 48 - 6 = 42

then divide 42 by 6 and you get 7

hope this helps :)

iren2701 [21]3 years ago
3 0

Answer:

x=7

Step-by-step explanation:

6x +2y=48

Let y=3

6x+2(3) = 48

6x+6 = 48

Subtract 6 from each side

6x+6-6=48-6

6x= 42

Divide by 6

6x/6 = 42/6

x = 7

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Use partial products to multiply 2,104 x 8. 2,104 32 8 x 4 ones 0 8 x 0 tens N 1 hundreds 8 x 2 thousands - 16.000​
xeze [42]

9514 1404 393

Answer:

  16832

Step-by-step explanation:

As your problem statement says, ...

  2104 × 8 = 4×8 +00×8 +100×8 +2000×8

  = 32 +0 +800 +16000

  = 16,832

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3 years ago
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2 years ago
To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
Nata [24]

the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street  = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

4 0
2 years ago
Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?
weeeeeb [17]

Answer:

5.5%

Step-by-step explanation:

To find the interest rate, use the equation:  I = prt

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p = principal = $15,000

r = rate = unknown

t = time = 8 years


Now plug the numbers into the equation.

6,600 = 15,000 * r * 8

6,600 = 120,000 * r


Now isolate the variable by dividing both sides of the equation by 120,000.

0.055 = r


Now change the rate to a percent by moving the decimal point 2 digits to the right.

5.5% = r   OR   r = 5.5%

4 0
2 years ago
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