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labwork [276]
2 years ago
8

the ratio of yes votes to no votes was 2 to 3. If there were 1386 yes votes, what was the total number of votes?

Mathematics
1 answer:
son4ous [18]2 years ago
8 0

Answer:

3465

Step-by-step explanation:

Yes:No

2:3

1386:x

1386 /2 = 693

693 x3 = 2079

1386:2079

1386+2079 = 3465

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P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a
Vika [28.1K]

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

3 0
3 years ago
There are 12 red marbles and 8 green marbles in a bag. What is the probability of selecting a red
madam [21]

Answer:

The probability of selecting a red  marble, not replacing it, and then selecting a green marble from the bag is 24/95

Step-by-step explanation:

Number of red marbles = 12

Number of green marbles = 8

Total number of marbles = 12+8 = 20

Probability of selecting red marble =\frac{12}{20}

Since it is the case of no replacement

Remaining marbles = 20-1 = 19

Number of red marbles = 12-1=11

Number of green marbles = 8

Probability of selecting green marble =\frac{8}{19}

So, the probability of selecting a red  marble, not replacing it, and then selecting a green marble from the bag =\frac{12}{20} \times \frac{8}{19}=\frac{24}{95}

Hence the probability of selecting a red  marble, not replacing it, and then selecting a green marble from the bag is 24/95

3 0
4 years ago
Vector u has its initial point at (21,12) and its terminal point at (19,-8). Vector v has a direction opposite that of u, whose
agasfer [191]

Step-by-step explanation:

517÷4685568π√7%+66×74367

7 0
3 years ago
Please solve if you know no trolls please im desparate
IgorC [24]
The question isn’t equal to 90° it’s equal to 180° because the line is straight it’s not a right angle. so when u equal the whole equation to 180°, you get x=18.75. then plug in the number to find the degree of each.
so angle of department would be 139.25° and angle of gas station would be 40.75°
3 0
3 years ago
you need to fill a water jug with 8.23 L. you filled it with 2.92 L and then added 3.14 more how much more water do you need?
dalvyx [7]
Find out how much you filled.

2.92 + 3.14 = 6.06 L

Find the remaining.

8.23 L - 6.06 L = 2.17 L

You need 2.17 L more to fill the water jug
7 0
3 years ago
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