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e-lub [12.9K]
3 years ago
14

in a race in which 7 automobiles are entered and there are no ties, in how many ways can the first three finishers come in

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0
There are 3 slots

7 autos for 1st slot
6 for 2nd (1 went to 1st slot)
5 for 3rd

so there are 7*6*5 or 210 ways
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Solve for a.<br> a^2=-3a+88
Sergio [31]

Answer:

a=8,-11

Step-by-step explanation:

a^2=-3a+88

a^2+3a=88

a^2+3a-88=0

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-3\pm\sqrt{3^2-4(1)(-88)} }{2(1)}

x=\frac{-3\pm\sqrt{9+352} }{2}

x=\frac{-3\pm\sqrt{361} }{2}

x=\frac{-3\pm19 }{2}

x=-11 and x=8

Therefore, the values of a are 8 and -11.

5 0
3 years ago
Help pls <br> Find the value of x
elena55 [62]

Answer:

x=61

Step-by-step explanation:

Because it is a 90 degree angle, you subtract the 29 from 90 and you get 61. You can also put in in this equation and arrive at the same conclusion.

90=X+29

3 0
2 years ago
Read 2 more answers
4 times the measure of the complement of an angle is equal to 2/3 the measure of the original's angles's supplement. what is the
scoundrel [369]

Answer:

72 degrees.

Step-by-step explanation:

If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.

4(90-x) = 2/3(180 - x)

360 - 4x = 120 - 2/3 x

360 - 120 = -2/3 x + 4x

240 = -2/3 + 12/3 x

240 = 10/3 x

x = 240 * 3/10

x = 72 degrees.

7 0
3 years ago
A pair of equations is shown below:
Elan Coil [88]
So, both equations are essentially linear equations.
Linear equations are written in the format y = mx+b, where m represents the slope/slope intercept and b represents the y-intercept.
---------------------------------------------------------------------------------------------------------------
Part A
the slope and y-intercept

y = mx +b
m - the slope; b- y-intercept

therefore;

y = 6x - 4
m = 6; b = -4

y = 5x - 3
m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

4 0
3 years ago
The senior class raised $1001 to buy new text books at $38.50 each. How many textbooks can they buy
Travka [436]
Well

divide 1001 ÷ 38.50!

which is 26!

the answer is 26.
7 0
3 years ago
Read 2 more answers
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