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2 years ago

Write a related equation that has the variable on one side. Then simplify the other side.

Mathematics

1 answer:

BartSMP [9]2 years ago

3 0

Because 5 is being subtracted from 1 side, do the opposite and add it to both. 61 plus 5 = 66, so D is correct.

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What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv

Gnoma [55]

Answer:

The equation of line is:

$8x-9y=-23$

Step-by-step explanation:

We are given that a graph is a that passes through two points:

$(-4,-1)$ and $(\dfrac{1}{2},3)$

We know that the equation of line passing through two points:

$(a,b)$ and $(c,d)$ is given by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Here we have:

$(a,b)=(-4,-1)$ and $(c,d)=(\dfrac{1}{2},3)$

Hence, the equation of line is:

$y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23$

Hence the equation of line is:

$8x-9y=-23$

5 0

2 years ago

An investor invested a total of $1900 in two mutual funds. One fund earned a 7% profit while the other earned a 4% profit. If

Minchanka [31]

You have to add the numbers

7 0

2 years ago

A local farm sells strawberries and blueberries. The ratio of the number of strawberries to blueberries it sells at 5:3. If it s

olganol [36]

Answer:

125

Step-by-step explanation:

The ratio is 5:3 so we divide the 75 by 3 to get 1 part

1 part = 75

75 x 5 = 125

125 strawberries were sold :)

3 0

2 years ago

What is is the value of x if -18/6x=-22

blagie [28]

Answer:

x=22/3 is your answer

7 0

3 years ago

Read 2 more answers

Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1

Blizzard [7]

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

$1000\times \frac{30}{100} =1000\times 0.3$

Total population after h hours is,

$1000(1+0.3)^h$

It is in the form of,

$P(t)=P_0(t)(1+r)^t$

Where $P_0(t)$ is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.

In the above equation 1000 is the initial population and $(1+0.3)^h$ is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

3 0

2 years ago

Read 2 more answers