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2 years ago

If the point on the line is (-5,6) and the slope is 2/3, what is the answer in slope-intercept form?

1 answer:

6 0

So you know the slope is 2/3. We can write the equation y=mx+b and plug in the value we know to get y=(2/3)x+b. Since the line goes through the point, (-5,6) our equation must be true when the x and y value are plugged into the equation. We get (6)=(2/3)(-5)+b. Solving for b, we get 6=(-10/3)+b then b=28/3. This means our formula is y=(2/3)x+28/3

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2 years ago

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malfutka [58]

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2 years ago

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

Solution:

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

$\Rightarrow0.5\text{ lbs }- 1.5\%$

$\Rightarrow x+0.5\text{ lbs }- 100\%$

On writing the proportion,

$\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs$

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0

2 years ago

_______ is 100 times as much as 90

jek_recluse [69]

90*100=9000

hope that helps

3 0

3 years ago

Graph the function y = x+2+5. Which point lies on the graph?

sp2606 [1]

Answer:

A

Step-by-step explanation:

Given equation :

y = x + 2 + 5
y = x + 7

Evaluating the options

A (-2, 5)

5 = -2 + 7
5 = 5
Correct!

5 0

2 years ago