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Bogdan [553]
3 years ago
11

What is the 60th term of the sequence 2, -3, -8, -13?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

  an = a1 +d(n -1)

  an = 2 -5(n -1)

The 60th term is ...

  a60 = 2 -5(60 -1) = -293

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3 years ago
A candy store owner wants to mix some candy costing $1.25 a pound
maria [59]

The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

  • Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
  • The resulting mixture should be 50 pounds of candy
  • The resulting mixture should cost $1.30 a pound

To find: The amount of candy costing $1.25 a pound that should be mixed

Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.

Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '50-x' pounds of candy costing $1.45 a pound.

Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '50-x' pounds of candy costing $1.45 a pound.

Accordingly, the total cost of the resulting mixture is 1.25x+1.45(50-x)

However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is 1.30 \times 50

Equating the total cost of the resulting mixture obtained in two ways, we get,

1.25x+1.45(50-x)=1.30 \times 50

1.25x+72.5-1.45x=65

0.2x=7.5

x=\frac{7.5}{0.2}

x=37.5

This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.

Learn more about cost of mixtures here:

brainly.com/question/17109505

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!<br><br><br> What is the m∠ F?<br><br><br><br><br> thanks for helping
natita [175]
X + x - 5 + 3x + 25 = 180
5x + 20 = 180
5x = 160
x = 32

m<F = x - 5
m<F = 32 - 5
m<F = 27

8 0
3 years ago
Pls hurry it is 23 points i need help now Match the equation on the left with the correct estimate on the right. Each equation h
azamat
It looks floppy but you said you need this fast so yeah

6 0
3 years ago
Read 2 more answers
To find the quotient of 8 divided 1/3 by<br><br> • 1/8<br> • 1/3<br> •3<br> •8
olga nikolaevna [1]

Answer:

24 is the answer

Step-by-step explanation:

Ok so we need to find the quotient 8 divided by \frac{1}{3}

so we have to do 8 divide \frac{1}{3} = 8/1/3 =8x3=24

dividing 8 by 1/3 by is equivalent to multiplying 8 by 3

6 0
3 years ago
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