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svp [43]
2 years ago
11

What is the value of x in the equation -2/3 x + 9 = 4/3 x - 3?​

Mathematics
2 answers:
anygoal [31]2 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

We want to solve:

\frac{-2}{3} x+9=\frac{4}{3} x-3

First, isolate the variable by moving all the terms with x to one side and all the constants to the other side:

\frac{4}{3}x +\frac{2}{3} x=9+3

Combining the fraction on the left, we get:

\frac{6}{3} x=12

6/3 = 2, so:

2x = 12

Dividing both sides by 2 yields:

x = 6

Lubov Fominskaja [6]2 years ago
8 0

Answer:

X = 6

Step-by-step explanation:

Edge 2020

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Find the 10th partial sum of the arithmetic sequence defined by
Evgesh-ka [11]

Answer:

22.5


Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

  • Putting 1 in n, \frac{1}{2}(1)-\frac{1}{2}=0
  • Putting 2 in n, \frac{1}{2}(2)-\frac{1}{2}=0.5
  • Putting 3 in n, \frac{1}{2}(3)-\frac{1}{2}=1
  • Putting 4 in n, \frac{1}{2}(4)-\frac{1}{2}=1.5

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

s_{n}=\frac{n}{2}(2a+(n-1)d)

Where,

  • S_{n} denotes the nth partial sum
  • a is the first term (in our case it is 0)
  • n is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
  • d is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5

So the sum of the first 10 terms is 22.5. Third answer choice is right.


8 0
3 years ago
Read 2 more answers
I need help with this problem <br><br> Someone explain this to me
Anton [14]

Answer:

16.5

Step-by-step explanation:

Look at the relation between the 2 sides that you have measurements for. One is 16cm, the other 24cm. This means that triangle 2 is 1.5 times larger than triangle 1. Multiply the known measurement from tringle 1, 11cm by 1.5 and you get 16.5 cm

5 0
2 years ago
If the sales tax rate is 8.25% how much would pay for an item that costs $24.00?
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Answer:

$25.98

Step-by-step explanation:

8.25% of 24 = 0.0825 × 24 = 1.98

1.98 + 24 = 25.98

8 0
3 years ago
PLS HELP ME Find a sum equivalent to the product shown. 5(x+z)
andrezito [222]

Answer:

20

Step-by-step explanation:

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2 years ago
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-4g is what I got if ur evaluating
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