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ANTONII [103]
3 years ago
8

What is x+2/4 = 5/3

Mathematics
2 answers:
ch4aika [34]3 years ago
5 0

Answer:

7/6

Step-by-step explanation:

x+\dfrac{2}{4}=\dfrac{5}{3}\\x=\dfrac{5}{3}-\dfrac{1}{2}\\x=\dfrac{10}{6}-\dfrac{3}{6}\\x=\dfrac{7}{6}

Hope this helps!

tamaranim1 [39]3 years ago
3 0

Answer:

x=7/6

Step-by-step explanation:

x+2/4=5/3

  -2/4  -2/4

x=5/3-2/4=7/6

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The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
ipn [44]

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

8 0
2 years ago
Read 2 more answers
Michael added 15 fish to his pond over a period of 5 days he added the same number of fish each day what was the change in the n
Yuri [45]

Answer:

3

Step-by-step explanation:

15 fish / 5 days = 3 fish per day

5 0
3 years ago
A supermarket increases the prices of some grocery items by 10%.
Juli2301 [7.4K]

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

6 0
1 year ago
, find a1 and d. 34, 40, 46, 52, 58, 64
yulyashka [42]

Answer:

a1 = 34, d = 6.

Step-by-step explanation:

a1 = the first term = 34.

To find d subtract: 2nd term - first term ,  third term - second term and so on.

d = 40 - 34 = 6.

Also 46-40 = 6

WE get the same value 6  for the other given terms.

6 is added to each term to get the next term

5 0
3 years ago
A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of th
saul85 [17]
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft

also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft
3 0
3 years ago
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