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daser333 [38]
3 years ago
14

Jim has three times as many comic books as Charles. Charles has 2/3 as many books as Bob. Bob has 27 books. How many comic books

does Jim have?
Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0
First we need to set up some equations (J is the books Jim has, C is the books Charles has and B is the books Bob has)
J=3C
C=2/3(B)

Then we just plug in the numbers to find the answer
C=2/3(27)
C=18

J=3(18)
J=54

Jim has 54 comic books
Elden [556K]3 years ago
3 0
First divide 27 by denominator which is 3 which then gives you 9 then you multiply it by the numerator 2 which gives you 18, then you multiply that by 3 which gives you 54
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Find the 10th term in a sequence whose general term is an = n2 – 8. Question 7 options: A) 92 B) 108 C) 12 D) 113
Leto [7]

Answer:

10th term means  n = 10

we have general term = n² -8

substituting the value of n we get

10² - 8 = 100-8 =92

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
16 is 32% of what number
PtichkaEL [24]
Let, the number = x
It would be: x * 0.32 = 16
x = 16 / 0.32
x = 50

In short, Your Answer would be 50

Hope this helps!
3 0
3 years ago
The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?
dimulka [17.4K]

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

4 0
3 years ago
HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING ​
lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = \frac{1}{3}x^{2}-2x+8

Here x = rider's horizontal distance from the start of the ride

i). y=\frac{1}{3}x^{2}-2x+8

      =\frac{1}{3}(x^{2}-6x+24)

      =\frac{1}{3}[x^{2}-2(3x)+9-9+24]

      =\frac{1}{3}[(x^{2}-2(3x)+9)+15]

      =\frac{1}{3}[(x-3)^2+15]

      =\frac{1}{3}(x-3)^2+5

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    8=\frac{1}{3}(x-3)^2+5

    3=\frac{1}{3}(x-3)^2

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

6 0
3 years ago
Write one problem using a dollar amount of $420 and a percent of 40%. Provide a solution to your problem. Please help I'm desper
luda_lava [24]
You could do :
Johnny was financing a limited editions Xbox One S. The price was $420 and he put down 40%. How much is left to be financed?
dp=420(40/100)=16800/100=168
then you would subtract 420-168 which would give you 252
;) good luck !!
3 0
3 years ago
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