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Sholpan [36]
4 years ago
9

The average of Johnny’s two tests is a 92. What must he get on a 3rd test to raise his average to a 94?

Mathematics
2 answers:
zheka24 [161]4 years ago
5 0
Reread, take time, and concentrate
Mazyrski [523]4 years ago
5 0

Johnny must get a test grade of a 96.

That is because adding 92 to 96 would give him 188

92 + 96 = 188

You would need to divide by 2 to find the averages of the test

188/2 = 94


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Alexander and Jo live 5 miles apart. They decide to leave their homes at 3 p.M. And travel toward each other. If Alexander bikes
lukranit [14]

Answer:

Step-by-step explanation:

Here is an illustration of the problem:

             ----------------------------->|<------------------

            A                                  t                     J

Alex and Jo start from their separate homes and drive towards one another.  The t indicates the time at which they meet, which is the same time for both.  Filling in a d = rt table:

              d           =        r        x        t

Alex                              14                t

Jo                                   6                t

The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.

             

                      14t                               6t

   ---------------------------------->|<------------------

   A                                       t                      J

The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles.  In equation form:

14t + 6t = 5 and

20t = 5 so

t = .25 hours or 15 minutes.

If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.

3 0
3 years ago
Find the next two terms in this geometric sequence. 161051, 14641, 1331,
melomori [17]
An*r=a(n+1)
so
a(n+1)/an=r
14641/161051=1/11

1331 times 1/11=121
121 times 1/11=11

the next 2 terms are 121 and 11
3 0
3 years ago
The equation of line 2 is y = 4x - 7. Find line 1 given that line 1 is parallel to line 2 and has y-intercept (0,2).
MakcuM [25]

Answer:

hi! this may all seem confusing but don't worry it's easy once you get it!

so we have a line this line y=4x-7 is what we will use to plugin our point

and (0,2) is your point!

2=4(0)+b

2=b

and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)

y=4x + 2 would be the answer!

REMEMBER: Parallel is always the same so you will use the SAME SLOPE!

Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given

If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!

hope this helps :)

new question:  write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6

so we need to move this from standard form to slope intercept

2x + 3y=6

-3y= -2x + 6

y= 2/3x - 2

now we've solved!  our y intercept is now -2 and slope is 2/3x

okay and now let's plug it in!

again let's plugin our point

5= 2/3 (1) + b

4 1/3= b

so! y= 2/3x - 4 1/3

8 0
3 years ago
When graphed, the circle with equation
Katarina [22]

Answer:

the correct awnser is B

Step-by-step explanation:

It will lie in Quadrants I and IV, having center (5, 0) and radius 3. Complete the squares and get the equation in standard form, (x - 5)2 + y2 = 9.

7 0
3 years ago
What two numbers multiply to -56, and sum to -1
Assoli18 [71]

Answer: <u>-8 and 7</u>

Step-by-step explanation:

Not much explanation needed here, the product of -8 and 7 is -56, and the sum of these numbers equals -1. Hope I helped! :)

7 0
3 years ago
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