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MrRa [10]
3 years ago
8

Find the 53rd term of the arithmetic sequence –12, -1, 10, ...

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

560

Step-by-step explanation:

you listed the first 3, so it's 53 - 3 = 50 and you multiply 50 and 11 (the sequence is +11) to get 550. Add 10 and you get 560!

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BARSIC [14]
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5 0
3 years ago
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
PLEASE HELP DUE NOW!!!<br> WILL MARK BRAINLIEST!!!
Ulleksa [173]

Answer: -10, 10

Step-by-step explanation:

first lets add the two equations. add the x's, add the y's, add the constants on the right.

we get

0x - 1y = -10

so then divide --10 by -1 because we do the opposite operations to both sides

and we get y = 10

now substitute y = 10 into the first equation

-10x - 9(10) = 10

and then we get -10x - 90 = 10

now add 90 to both sides

-10x = 100

divide 100 by -10

x = -10

y = 10

checks out

EPIC. STAY EPIC AND AWESOME FRIEND.

3 0
2 years ago
Can someone help me like fr-
aalyn [17]

Answer :V=πr2h=π·72·11≈1693.31844

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which fraction is equivalent to 16/20 ?A.8/100 <br> B.6/10<br> C.48/60<br> D.20/24
denis23 [38]

Answer:

Step-by-step explanation:

16/20 = 48/60

960 = 960

Answer is C

3 0
2 years ago
Read 2 more answers
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