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lidiya [134]
3 years ago
6

Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to

contribute $15 each. Write an inequality that represents Alejandra’s situation.How many friends will need to contribute for Alejandra to reach her goal?
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer:

15x + 190 >= 400

* >= means greater than or equal to *

at least 14 friends

Step-by-step explanation:

without the inequality it'd be 15x + 190 = 400

but since you want it to be at least 400 you change the = to the greater than or equal to sign

15x + 190 = 400 * subtract 190 from both sides*

15x = 210 *divide both sides by 15*

x = 14

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slava [35]

Answer:

C

Step-by-step explanation:

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6 0
3 years ago
Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.
Flura [38]

Answer:

The inequality that you have is 5^{n}>2^{2n+1}+100,\,n>4. You can use mathematical induction as follows:

Step-by-step explanation:

For n=5 we have:

5^{5}=3125

2^{(2(5)+1)}+100=2148

Hence, we have that 5^{5}>2^{(2(5)+1)}+100.

Now suppose that the inequality holds for n=k and let's proof that the same holds for n=k+1. In fact,

5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.

Where the last inequality holds by the induction hypothesis.Then,

5^{k+1}>(2^{2k+1}+100)\cdot (4+1)

5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100

5^{k+1}>2^{2k+3}+100\cdot 4

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Then, the inequality is True whenever n>4.

3 0
3 years ago
Can you simplify 6x -x
allsm [11]

Answer:

5x

Step-by-step explanation:

=> 6x-x

<u><em>Taking x common</em></u>

=> x(6-1)

=> x(5)

=> 5x

5 0
4 years ago
Line AB contains points A (3, −2) and B (1, 8). The slope of line AB is −5 negative 1 over 5 1 over 5 5
pentagon [3]
Slope = (8+2)/(1 - 3) = 10/-2 = -5
answer
<span> −5 </span>
8 0
3 years ago
Read 2 more answers
The triangle below has a total perimeter of 450 cm:
Korvikt [17]
Equation: 450 = 128 + 150 + n

work:

1st step:
128+150 = 278

2nd step:
450-278 = 172

answer: 172

3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450

3 0
3 years ago
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