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dolphi86 [110]
3 years ago
13

Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $

4 per week and has $15 in her bank. Write the system of equations for this situation.
Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

Nathan: 2x+30

Olivia: 4x+15

Step-by-step explanation:

x is the number of weeks

Nathans account is as follows

2x+30

(2 dollars a week plus the 30 dollars already there)

Olivia's account is as follows

4x+15

(4 dollars per week plus the 15 already in there)

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50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world t
Harman [31]

Answer:

C

Step-by-step explanation:

So, we started out with 2,400 black rhinos.

And we know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have <em>90%</em> of the previous year's rhinos.

Therefore, our function is:

f(x)=2400(.9)^x

We can do some elimination first.

First, the starting point or y-intercept <em>must </em>be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is <em>not</em> a straight line.

However, to double check, let's check the population after 10 years using our function. So:

f(10)=2400(.9)^{10}

Use a calculator:

f(10)\approx837

So, after 10 years, the population should be around 840.

B is definitely <em>not</em> 840 (at x=10). However, C is right around it.

Therefore, we can conclude that C is the right answer.

And we're done!

6 0
3 years ago
C-12=-4show me step by step
AfilCa [17]

Answer:

C = 8

Step-by-step explanation:

Rearrange the equation to make C the subject.

C - 12 = -4

Add 12 to both sides.

C - 12 + 12 = -4 + 12

C = -4 + 12

C = 8

Check it:

C = 8

So substitute the new found value into the original equation:

C - 12 = -4

8 - 12 = -4

-4 = -4

All good.

4 0
3 years ago
Read 2 more answers
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region? 2x2 4x2 6x2 8x2
notka56 [123]
The picture in the attached figure

we know that
area of the <span>the shaded region=area of rectangle -area of a kite

area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²

area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²

area of the the shaded region=8x²-4x²-----> 4x²

the answer is 
4x²

5 0
3 years ago
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Find the sum of all two digit whole numbers which are divisible by 11?​
tensa zangetsu [6.8K]

Answer:

all two digit whole number which are divisible by 11 are

22+33+44+55+66+77+88+99=484

7 0
3 years ago
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Write a two column proof
Annette [7]

4y=2x-10 and y=6

use the second expression to calculate the left-hand side of the first equation:

4\cdot 6 = 2x -10\\24 = 2x -10

Add 10 to both sides if this equation to get

34 = 2x

and divide both sides by 2

17 = x

this proves that x = 17, give the two initial equations

8 0
3 years ago
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