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Delicious77 [7]
3 years ago
14

Someone please help me with this

Mathematics
1 answer:
Ilya [14]3 years ago
8 0

Answer:

Step-by-step explanation:

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FG=8x+4. If GH=4x+8 and FH=15x-9, then what does FH=?
Mashcka [7]
So 8x+4+4x+8=15x-9

Combine like terms.

12x+12=15x-9

Add 9 to both sides.

12x+21=15x

Subtract 12 from both sides.

21=3x

Divide both sides by 3.

x=7

Now plug in 7 for x in 8x+4.

8(7)+4

56+4

=60
4 0
3 years ago
The amount y (in grams) of the radioactive isotope fermium-253 remaining after t hours is y=a(0.5)t/72, where a is the initial a
almond37 [142]

Answer:

Per hour decay of the isotope is 0.96%.

Step-by-step explanation:

Amount of radioactive element remaining after t hours is represented by

y=a(0.5)^{\frac{t}{72}}

where a = initial amount

t = duration of decay (in hours)

Amount remaining after 1 hour will be,

y=a(0.5)^{\frac{1}{72} }

y = 0.9904a

So amount of decay in one hour = a - 0.9904a

                                                      = 0.0096a gms

Percentage decay every hour = \frac{\text{Amount of decay}}{\text{Initial amount}}\times 100

                                                  = \frac{0.0096a}{a}\times 100

                                                  = 0.958 %

                                                  ≈ 0.96 %

Therefore, per hour decay of the radioactive isotope is 0.96%.

7 0
3 years ago
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times as it is wide. Both the banner and the po
Svetradugi [14.3K]

The length and width of poster are 9 inches and 3 inches respectively and length and width of banner are 10 inches and 2 inches respectively

<u> Solution:</u>

Given, A rectangular poster is 3 times as long as it is wide.  

Rectangular banner is 5 times as long as it is wide.  

Both the banner and the poster have perimeters of 24 inches

Let, the width of poster be p, then its length will be 3p

And, the width of banner be b, then its length will be 5b

Now, according to given information,

Perimeter of poster = 24 inches and perimeter of banner = 24 inches

2(length of poster + width of poster) = 24

2(3p + p) = 24

2(4p) = 24

8p = 24

p = 3

And 2(length of banner + width of banner) = 24

2(5b + b) = 24

2(6b) = 24

12b = 24

b = 2

So, width of poster is 3 inches, then length of poster is 3p = 3 x 3 = 9 inches

And, width of banner is 2 inches, then length of banner is 5b = 5 x 2 = 10 inches

8 0
3 years ago
The hockey team won 63 out of the 84 games it played this year.what percent of the games did the team win
Deffense [45]
63 is 75% of 84.
Percent of a Total
3 0
3 years ago
An item is regularly priced at $40 . Milan bought it at a discount of 45% off the regular price. How much did Milan pay?
maw [93]
45%=.45
40*.45=18
40-18=22
8 0
3 years ago
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