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3 years ago

3x-2y=8 and 0.5x+y=17

1 answer:

7 0

2y is in the first equation so if you change 0.5x+y=17 to y=17-0.5x and then double it to 2y=34-x, you can substitute and find x. And then you can find out y.

How to find x:

0.5x+y=17

y=17-0.5x

2y=34-x

3x-2y=8

3x-34-x=8

x=21

How to find y (with previous info.)

x=21

3x-2y=8

3*21-2y=8

63-8=2y

55=2y

27.5=y

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Is 7- y=5x+11 a standard form

koban [17]

Answer:

No.

Step-by-step explanation:

Because standard form is ax+by=c.

6 0

3 years ago

Circle any equivalent ratios from the list below.

marysya [2.9K]

Answer:

Equivalent ratios: we can that the first ratio is equivalent to the second, then third ratio is equivalent to the forth.

Ratio: 1: 2 Value of the Ratio: 1/2

Ratio: 5: 10 Value of the Ratio: 1/2

Ratio: 6: 16 Value of the Ratio: 3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

a.Ratio: 1: 2 and Ratio: 5: 10

We apply the method of comparing the first term of both ratios , and the second term of both ratios. We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

So, we can that the first ratio is equivalent to the second, then, third ratio is equivalent to the forth.

Value of the Ratio: The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio: 1/2

Ratio: 5: 10 Value of the Ratio: 5/10 if we divide both sides by 5, we can say Value of the Ratio: 1/2

Ratio: 6: 16 Value of the Ratio: 6/16 if we divide both sides by 2, we can say the value is 3/ 8

Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4, we can say the value is 3/ 8

If the values are equivalent the ratios are equivalent.

7 0

3 years ago

Read 2 more answers

Consider a population list x, with a CV= 10%. A second population list, y, has a CV= 20%. The linear regression of y on x is y =

ch4aika [34]

Answer:

The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.

Step-by-step explanation:

The linear regression equation is

y= a+bx

The given linear equation is

y= 10x

Here, slope=b=10 and intercept=a=0.

From above equation,

ybar=10xbar

We are given that CVx=0.1 and CVy=0.2

where CV=(standard deviation/mean)*100

We know that

b=r(Sy/Sx)

Multiplying by xbar/ybar on both sides

(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)

(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]

(xbar/ybar)b=r[CVy/CVx]

As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).

By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.

(xbar/10xbar)10=r(0.2/0.1)

1=r(0.2/0.1)

1=r(2)

r=0.5

There is moderate positive correlation between y and x.

6 0

2 years ago

Which degree of rotation is equivalent to a 90 degree clockwise rotation?

vodomira [7]

The answer will be A....

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3 years ago

Trevor is making 2/3 of a recipe for chicken noodle soup. He adds ½ cup of chopped celery. The equation 2/3 c = 1/2 can be used

Nikitich [7]

Answer:

Cups of chopped celery in original recipe = $\frac{3}{4}\ cups$

Step-by-step explanation:

Given that:

Trevor is making 2/3 of a recipe

Number of cups of chopped celery used = 1/2 cup

The following equation can be used to find the original number of cups of chopped celery used in recipe.

$\frac{2}{3}c=\frac{1}{2}$

Multiplying both sides by 3/2

$\frac{3}{2}*\frac{2}{3}c=\frac{1}{2}*\frac{3}{2}\\\\c= \frac{3}{4}\\$

Hence,

Cups of chopped celery in original recipe = $\frac{3}{4}\ cups$

8 0

2 years ago