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Dovator [93]
3 years ago
12

8th grade solving systems

Mathematics
2 answers:
Serhud [2]3 years ago
5 0

Answer:

(x+22) + x = 88

Step-by-step explanation:

if x is how much your friend collected, then how much you collected would be x + 22 because you collected 22 more then her. and if you add both of those together to get how much you collected together (the total) you get 88. so x (your friends sea shells) plus x+22 (your sea shells) is 88. tell me if you also need help solving the actual equation

you have x+22 + x = 88

you combine like terms, in this case the Xs

and you get 2x + 22 = 88

then you subtract 22 to both sides because you want to get x alone

and you get 2x = 88 - 22

which is 2x = 66

then you divide by 2 on both sides

and you get x = 66/2

and you get x = 33

zzz [600]3 years ago
4 0
Equations: x+y=88 and y=x+22. (where x=your friend’s seashells and y=your seashells). This is your equation because you are told that you collect 22 MORE than your friend so you have to add 22 to the amount your friend collects to get how many you collected. We also know there are 88 in total between you and your friend so the x+y represents that.
To solve you can input x+22 for y into the first equation to get that x+x+22=88. Next you simplify and solve to find that x=33(this tells you that your friend collected 33 shells). Next you plug in the 33 for x into either equation and solve. The second one would be easier so we could do 33+22=y. We then know y=55 and this is how many shells you collected. Hope this helps and explains how you do it well :)
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Does anyone know 20=b/3 is in a one step equation
inna [77]

Answer:

b=60

Step-by-step explanation:

All you have to do in this equation is multiply both sides by 20 as we want to have the variable b on one side by itself. Doing this we get 60=b.

4 0
3 years ago
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What is an equation of the line that passes through the point (5,1)(5,1) and is parallel to the line x+y=9x+y=9?
disa [49]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =1

m the slope  m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9

an equation for this line is : y-1 = -(x-5)

4 0
3 years ago
Please help me with this graph.
Komok [63]

Answer:

y=\frac{1}{2} x-1

Step-by-step explanation:

Please refer to the attached image.

Recall that in order to find the equation of a line parallel to another one, one needs to have the actual slope of the original line. This is because one will need to give the same slope in the equation for the new line.

Let's now try to extract the slope of the first line by looking at its graph. Recall as well that the formula for the slope uses information from two points on the plane (x_1,y_1) ; (x_2,y_2) through which the line passes. We then try to find two points with easily identifiable coordinates. Please find two such points marked with red dots in the attached image. Their coordinates are also shown: (0,4) and (10,9).

Now let's use the formula for the slope (m) given two points  (x_1,y_1) ; (x_2,y_2)

m=\frac{y_2-y_1}{x_2-x_1}

If we assign (x_1,y_1)=(0,4), and (x_2,y_2)=(10,9) the slope becomes:

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{9-4}{10-0}\\m=\frac{5}{10}\\m=\frac{1}{2}

Then the parallel line we are going to build should also have slope "1/2"

Now, the next step is to create the equation of the new line using the slope m = 1/2 and also using the point (4,1) where it should be passing. So we use the "point-slope" formula to create the line:

y-y_0=m\,(x-x_0)

where (x_0,y_0) is the coordinate pair of thepont we want the line to go through (in our case the point (4,1)). Then:

y-y_0=m\,(x-x_0)\\\\y-1=\frac{1}{2} (x-4)\\y-1=\frac{1}{2} x-2\\y=\frac{1}{2} x-2+1\\y=\frac{1}{2} x-1 which is the third option among your list of answers.

6 0
3 years ago
The population of New York state can be modeled by:
kondaur [170]

Answer:

The answer is "19.71 million".

Step-by-step explanation:

\to P(t) = \frac{19.71}{1+61.22 e^{(-0.03513t)}}

where

\to p= \text{population in million} \\\\\to t= \text{time in years}\\

when t is increases, then 61.22 \ e^{-0.035 t}=\frac{61.22}{e^{0.035t}} when decrease so that p(t) continually grows in size to reach the optimum population which you find if t is quite high t \to \infty

\to P_{max} =  \lim_{ \ t \to \infty}  \frac{19.71}{1+61.22 e^{(-0.03513t)}}

when \  t \to \infty \ ,  0.035 t \to  \infty \ ,  e^{(0.03513t)} \to e^{\infty} \to \infty\ \ e^{\frac{1}{0.035t} = \ e^{-0.035t}} \to 0

           = \frac{19.71}{1+0}\\\\= \frac{19.71}{1}\\\\ = 19.71 \ million

8 0
3 years ago
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d1i1m1o1n [39]
The value of 3 in 546300 is 300 times the value of 3 in 3,456 is 3,000
300*3,000 is 900000
5 0
3 years ago
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