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KIM [24]
3 years ago
10

Find three consecutive even integers such that the product of the first and the third is 96

Mathematics
2 answers:
tankabanditka [31]3 years ago
5 0

2Answer:

Step-by-step explanation:

andriy [413]3 years ago
5 0

Answer:

Step-by-step explanation:

x,x+2,x+4 are the consecutive even integers

x(x+4)=96

X^2 +4x =96

x^2 +4x =96

x^2 +12x-8x -96=0

x(x+12)-8(x+12)=0

(x+12)(x-8)=0

Therefore x=8 or-12

x=8

Consecutive even integers are 8,10,12

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What is the next fraction in this sequence? Simplify your answer.<br> 1/4, 3/8, 1/2, 5/8...
LekaFEV [45]

Answer:

3/4

Step-by-step explanation:

1/4=2/8, 3/8,1/2=4/8, 5/8, 3/4=6/8

6 0
2 years ago
A<br> Find tan a.<br> r<br> √5,-√7)<br> ✓[?<br> Enter
Virty [35]

Answer:

tan(\alpha)=-\frac{\sqrt{35}}{5}

Step-by-step explanation:

Tan can be defined as: \frac{sin(\theta)}{cos(\theta)} as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.

Using this we can define tan

sin(\alpha)=-\sqrt{7}\\cos(\alpha)=\sqrt{5}\\\\tan(\alpha)=-\frac{\sqrt{7}}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}\\tan(\alpha)=-\frac{\sqrt{7*5}}{5}\\tan(\alpha)=-\frac{\sqrt{35}}{5}\\

8 0
2 years ago
Read 2 more answers
A man and woman share money in the ratio 3:2 if the sum of money doubled in what ratio should be divided so that the man should
Valentin [98]

Answer:

6:4

Step-by-step explanation:

3 x 2 = 6

2 x 2 = 4

6:4

6 0
2 years ago
Read 2 more answers
I need help on 9-11 please
lisabon 2012 [21]
Hello! I would love to help!


9. Basically, it is asking us to multiply 5.2 by 46.

5.2*46=239.2

So, your answer is 239.2 inches.


10. First, let's find out how many blocks she has left to run by subtracting the number of blocks she has already ran by the number of total blocks.

60-18=42

So Susan has 42 blocks left to run. Now, let's divide that by 2 since she can run 2 blocks per minute.

42/2=21

So, the answer is 21 minutes.


11. Let's set up an equation: We know that she will automatically pay $49.95 per month, plus $0.15 per additional minute. We also know her final total for the month was $61.20:

49.95+0.15m=61.20

Let's solve! Subtract both sides by 49.95


49.95+0.15m-49.95=61.20-49.95

Simplify

0.15m=11.25

Now, divide both sides by 0.15


0.15m/0.15=11.25/0.15

M=75

So your answer is 75 additional minutes.


Hope this helped! Comment if you have questions!



5 0
3 years ago
What is a numerical scale?
Masja [62]
A scale displaying digits...
7 0
3 years ago
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