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Lunna [17]
3 years ago
8

HEELPPP how do I solve this equation please do it step by step ​

Mathematics
2 answers:
docker41 [41]3 years ago
7 0

Answer:

x = -24/7  or x = -3 3/7

Step-by-step explanation:

In this equation, the first thing we will do is to get rid of the denominators -- they complicate everything. So, we can multiply the entire equation by 10, since 10 is the lowest common multiple of 5 and 2, which are the denominators.

Then, the equation will look like this:

2(4x-2) + 5(1) = 5(3x+7) - 10(1)

Notice that the denominators will no longer exist.

Now, distribute on both sides of the equation.

The equation will look like this now:

8x - 4 + 5 = 15x + 35 - 10

Then, we must combine like terms. We want to isolate the variable x on one side of the equation. Let's isolate it on the right side. So, subtract 8x from both sides. The equation will look like this now: - 4 + 5 = 7x + 35 - 10

Now that x is on one side, let's move all the other terms to the left side. Subtract 25 from both sides (35 - 10 = 25 on the right side, get rid of it by subtracting 25). The equation now looks like this: - 4 + 5 - 25 = 7x

Finally, combine all on the left side.

Final equation: -24 = 7x

Now, we know 7x = -24. We want to solve for the value of x. So, divide both sides by 7.

x = -24/7  or x = -3 3/7

77julia77 [94]3 years ago
5 0
X= -24/7
Hope this helps
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Answer:

let the number be 'x'

now,

  • 4+5x=34
  • 5x=34-4
  • x=30/5
  • x=6

so, the number is 6.

hope it helps

stay safe, healthy and happy.

8 0
3 years ago
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Which of these conditions might be true if polygons ABCD and KLMN are similar?
White raven [17]

Answer:

Option A.

Step-by-step explanation:

Properties of the similarity of two polygons,

1). All angles of one polygon will be equal to the angles of the other polygon.

2). Their corresponding sides will be in the same ratio.

If the measures of corresponding angles of KLMN and ABCD are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN,

Then the polygons ABCD and KLMN will be similar.

Option A will be the answer.

8 0
3 years ago
From 1980 to 1990, the consumer price index (CPI) increased from 82.4 to 130.7. If a gallon of apple juice cost $0.95 in 1980 an
ryzh [129]
Answer: C $1.51

To solve this, start with a proportion. Put the CPI numbers on the left and the apple juice prices on the right.

You will have:

82.4/130.7 = 0.95/x

Cross multiply to solve and you will get the price of the juice is $1.51.
4 0
3 years ago
Read 2 more answers
72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
3 years ago
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