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Gemiola [76]
3 years ago
9

3. Define a variable, write an equation, and solve the problem. Carla began a

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Answer:

Carla has been running 7 miles each day for 13 days.

Step-by-step explanation:

Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.

Let the number of days she ran 7 miles each day = x

Total distance run by Carla = 3 + 5 + 7(x)

                                             = 8 + 7x

If her log book shows that she has run total distance = 99 miles

Equation representing her total run will be,

8 + 7x = 99

7x = 99 - 8

7x = 91

x = \frac{91}{7}

x = 13 days

Therefore, Carla has been running 7 miles each day for 13 days.

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Lunna [17]
3.888 :))))))))))))))))))))))))))
7 0
3 years ago
Find two consecutive even integers whose product is 288
Trava [24]
So I’m going to solve this using algebra OK?
So what you do is take the first integer as X.
Then we know that x(the first number) + X+2(the second number) is 288 right?
So we solve that saying x+x+2=288.
So 2X+2=288
2X+2-2=288-2 right?
So 2X=286.
So x is 286/2 right?
So x is 143.
Now the first number is 143 right?
So the second number should be 143+2 so 145.
I know they are not even but these are the solutions.
I don’t think there are any consecutive even numbers that add up to 288
6 0
3 years ago
Identify the percent of change as an increase or a decrease. 4/5 to 3/5
vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0
3 years ago
Find the slope of the line that contains the points (-9, -3) and (-19, -3).
NNADVOKAT [17]

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

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

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

7 0
3 years ago
PLS HELP ME & EXPLAIN ANSWER <3
defon

Answer:

  e.  10√30

Step-by-step explanation:

In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:

  x/(10+50) = 50/x

Multiplying by 60x, we have ...

  x^2 = 3000

  x = 10√30 . . . . . take the square root. Matches choice E.

_____

<em>Comment on estimating</em>

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

The only answer choice with a value between 50 and 60 is choice E.

You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.

5 0
3 years ago
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