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Irina18 [472]
2 years ago
10

Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number

.
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

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If 3, x, y, -9 are in A.P, find the values of x and y.​
Serggg [28]

Answer:

  • x = -1
  • y = -5

Step-by-step explanation:

The common difference (d) can be found using the first and 4th terms:

  a1 = 3

  a4 = a1 +d(4 -1)

  -9 = 3 +3d . . . . . simplify

  -3 = 1 + d . . . . . . divide by 3

  -4 = d . . . . . . . . . subtract 1

Then ...

  x = a1 + d = 3 -4 = -1

  y = x + d = -1 -4 = -5

The values of x and y are -1 and -5, respectively.

6 0
3 years ago
Find the perimeter of the semicircle when diameter is 3.5 cm. (1 Point)
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● Answer:

8.995 cm

● Step-by-step explanation:

P = d + L/2

d = 3.5 cm

L/2 = 2pi×r/2

= pi×d/2

= 3.14×3.5/2

= 5.495 cm

P = 3.5cm + 5.495

= 8.995 cm

8 0
3 years ago
The length of a rectangle is 12cm and the area is 96cm what is the width
Paladinen [302]
The width is 8 cm . Because the rules to calculate the width that have length and area is take area divide the length . So you take 96 cm : 12 cm = 8 cm .
3 0
3 years ago
Rewrite the following equation in logarithmic form.
zloy xaker [14]

Answer:

log2(0.25) = -2

512 = 8^3

Step-by-step explanation:

  • <em>Use of formula: </em><em>loga (b) = c ⇔ b = a^c</em>

Rewrite the following equation in logarithmic form.   0.25 = 2^-2

  • log2(0.25) = -2

Rewrite the following equation in exponential form.  log8 (512) = 3

  • 512 = 8^3
3 0
3 years ago
If x-7=14, then what is the value of x-2
Volgvan
If  x- 7 = 14 then X = 21. so 21-2= 19.      :)
4 0
3 years ago
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