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podryga [215]
3 years ago
7

Mrs. Smith needed to split 28 students into 4 equal groups for the race. Which step could help her to work 30 divided by 3?

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

Procedure in option C only works.

Step-by-step explanation:

We have to select the process in which Mrs. Smith can help her to work 30 divided by 3.

(A) (27 divided by 9) + (9 divided by 3) = 3 + 3 = 6  

But (30 ÷ 3) = 10 ≠ 6

(B) (24 divided by 4) + (4 divided by 4) = 6 + 1 = 7 ≠ 10

(C) (21 divided by 3) + (9 divided by 3) = 7 + 3 = 10

(D) (20 divided by 4) + (10 divided by 4) = 5 + 2.5 = 7.5 ≠ 10

So, procedure in option C only works. (Answer)

Again, we can prove the procedure in the following way:

\frac{30}{3} = \frac{21 + 9}{3} = \frac{21}{3} + \frac{9}{3}  

{Which is the distributive property of division}

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Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate
Ipatiy [6.2K]

Answer:

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.

Since the bone has a current density of 1,500 kg/m³, hence a = 1500.

The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.

Therefore substituting the values of a and b into the function gives:

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3 years ago
Richard and Kayla have 48 apples. Kayla has 35% more apples than Richard.
Svetach [21]

Answer:

A. 1.65 k = 48

B. 105

Step-by-step explanation:

  • If we name "k" the amount of apples that Kayla has, and "r" the amount of apples thata Richard has, we know that r + k =48 (the two of them together have 48 apples).
  • In addition, we know that Kayla has 35% more apples than Richard. This means that k  (1-0.35) = r (the apples of Richard are 0.35 % smaller than the apples of Kayla). Then 0.65 k = r
  • Then, taking these two considerations together, r + k= 48 and 0.65 k= r, imply 0.65 k  + k = 48 (I just replace the second equation into the first one). Which finally means that k= 29 (and r = 19 because r+ k=48).
  • If Kayla has 162 apples, and according previous statements, she has 35% more apples than Richard, this means that 0.65 k= r, therfore if k=162,  r= 162 x 0.65  = 105  (Richar has 105 apples).
5 0
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University Theater sold 479 tickets for a play. Tickets cost $22 per adult and $14 per senior citizen. If total receipts were $7
atroni [7]

Answer:

341 senior tickets were sold

Step-by-step explanation:

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3 years ago
What is the nth term rule of the linear<br> sequence<br> below?<br> 1, 7, 13, 19, 25, . ..
vampirchik [111]

Answer:

Un= 1+(n-1)6

Step-by-step explanation:

a = 1

d= 7-1= 13-7= 6

and using the formula, Un= a+(n-1)d

5 0
2 years ago
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