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suter [353]
3 years ago
5

There are 26.2 miles in a marathon. Write the number of miles using a fraction.

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0
Proper fraction: 26 1/5
improper fraction: 131/5
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Solve the system using elimination.<br> 2x + 18y = -9<br> 4x + 18y = -27
Elan Coil [88]

First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.

-2 ( 2x + 18y = -9) = -4x -36y = 18

Then, we combine the two equations.

-4x + 4x = 0

18y - 36y = -18y

-27 + 18 = -9

Our new equation is -18y = -9.

Now, divide both sides by -18.

-18y / -18 = y

-9/ -18 = 1/2

y = 1/2

We can plug in a value for y since y = 1/2 now.

Let's use 2x + 18y = -9

Plug in y.

2x + 18(1/2) = -9

2x + 9 = -9

Then, subtract 9 from both sides.

2x = -18

Divide by 2.

2x/2 = x

-18/2 = -9

x = -9

Lastly, we can plug in both x and y values to see it works.

2(-9) + 18(1/2) = -9

-18 + 9 = -9

Therefore, the values of x and y does work.

x = -9

y = 1/2

4 0
3 years ago
The equation of a circle is x2 + y2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates
valkas [14]

Answer:

Option E

Step-by-step explanation:

The standard equation of circle is:- (x-h)² + (y-k)² = r²

where (h,k) is center point and r is radius

If radius r is decreased then also (h,k) remains same, only r² increases

Equation given in question is x² + y² + Cx + Dx + E=0

So, C and D will remain same but E will increase

4 0
3 years ago
The teacher tells the class the highest marks obtained by a student in her class is twice the lowest marks plus 7 . the highest
Ilya [14]

Answer:

40

Step-by-step explanation:

highest=2(lowest)+7

Replace the variables here:

87=2(lowest)+7

minus 7 on both sides

80=2(lowest)

divide both sides by 2

40=lowest

7 0
3 years ago
The equation of a circle is given below. x ^2 +(y-2.25)^2 =196/169. What is the center? What is the radius?
yuradex [85]

Answer:

center : (0, 2.25)

radius: 14/13

Step-by-step explanation:

x^2+(y-2.25)^2=196/169

Rewrite x^2+(y-2.25)^2=196/169

(x-0)^2+(y-2.25)^2=(14/13)^2

c=(0,2.25),r= (14/13)

hope this helps<3

3 0
3 years ago
Find 9.24 divided by 6
daser333 [38]

Answer:

1.54

Step-by-step explanation:

a calculator provides the precise answer efforessly

5 0
2 years ago
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