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maria [59]
3 years ago
13

What is the solution to the following system of equations:7x+2y=248x+2y=30​

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

7x +2y =24 --------- (i)

8x +2y= 30 ---------(ii)

Subtracting eqn. (i) & (ii)

7x +2y =24

8x +2y= 30

- - -

___________

-x = - 6

Putting the value of x in eqn. (i)

7*6 +2y =24

42 +2y =24

2y =-18

y = - 9

Hence, x=6 and y= - 9

Hope it helps!!

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solmaris [256]
Make a proportion
81/30 = x/600
600/30 = 20
x/81 = 20
x = 1620
Solution: 1620 calories
7 0
3 years ago
Given g(x) = 10x + 2, find x when g(x) = 2.
Elan Coil [88]

Answer:

x=0    

Step-by-step explanation:

We are given:

g(x) =10x +2

and

g(x)=2

g(x) is equal to both 10x+2 and 2. Therefore, by substitution, we can set them equal to each other

10x+2=2

Now, we need to solve for x. First, move all the numbers to the same side. Subtract 2 from both sides

10x+2-2=2-2

10x=0

To solve for x, we have to get x by itself. x and 10 are being multiplied. To get x alone, divide both sides by 10.

10x/10=0/10

x=0

8 0
3 years ago
Target has a 42" HDTV that sells for $1,250 and is on sale for 15% off. After a sales tax of 6.5%, what is the final cost for th
Naddika [18.5K]

Answer:

$ 1,131.56

Step-by-step explanation:

1,250x85%=1,062.50

1,062.50x6.5=69.06

1062.50+69.06=1,131.56

7 0
3 years ago
g In R simulate a sample of size 20 from a normal distribution with mean µ = 50 and standard deviation σ = 6. Hint: Use rnorm(20
Illusion [34]

Answer:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

Step-by-step explanation:

For this case first we need to create the sample of size 20 for the following distribution:

X\sim N(\mu = 50, \sigma =6)

And we can use the following code: rnorm(20,50,6) and we got this output:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

5 0
3 years ago
What is 3√20 - 3√45 + 5√12 in simplest radical form? Show all work.
lesya692 [45]

Answer: -3√5 + 10√3

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.


8 0
3 years ago
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