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bazaltina [42]
3 years ago
12

(8k+3) (2k+7) find the product

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

16k^2 + 62k + 21

Step-by-step explanation:

We can distribute:

(8k + 3)(2k + 7)

(8k)(2k) + (8k)7 + 3(2k) + 3(7)

Now, we can simplify:

16k^2 + 56k + 6k + 21

16k^2 + 62k + 21

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You get paid ​​\$14.50$14.50​ an hour at your job and the newest video game costs ​\$85.00$85.00​. Find the inequality that repr
Zielflug [23.3K]

Answer:

14.50x > 85

Step-by-step explanation:

14.50x > 85

divide both sides by 14.5

x>85/14.5 = 5.86 hours

x has to be greater than 5.86 hours

3 0
3 years ago
Complete the sentence below with less than,
Gekata [30.6K]

Answer: The Answer is "less than"

Step-by-step explanation:

To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.

For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.

For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.

10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.

8 0
4 years ago
Read 2 more answers
Number 8 <br> solve for x
dalvyx [7]

Answer:

B

Step-by-step explanation:

Since equalateral all angles are 60. 60 - 69 = -9.

5 0
3 years ago
Read 2 more answers
40.32 is 76.8% of what number
Anna71 [15]
<span>30.96576 because the calculator says so..lol

</span>
3 0
3 years ago
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The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

5 0
3 years ago
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