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denis23 [38]
3 years ago
10

Gabrielle is 10 years younger than Mikhail. The sum of their ages is 66. What is Mikhail's age?

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

Mikhail is 38 years old.

Step-by-step explanation:

I found that Gabrielle is 28 and Mikhail is 38.

28 + 38 = 66           38 - 28 = 10

If this answer is correct, please make me Brainliest!

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Factorise 18x-6 <br><br> will give brainly to whoever answers first
Sladkaya [172]

Answer:

6(3x-1)

Step-by-step explanation:

They both have a common factor of 6

So divide 6 and take it out to give:

6(3x-1)

6 0
2 years ago
Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?
aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

 two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

  consecutive terms is d, then

  U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

 the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0
3 years ago
What is 2 divided by 1/7
erastova [34]

Answer:

14

Step-by-step explanation:

4 0
2 years ago
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Nutka1998 [239]
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3 0
3 years ago
El sueldo de un padre de familia es de $4,500. ¿Cuánto es su sueldo si le aumentan un 4%?
lesya [120]

Answer:

el nuevo salario es 4680

Step-by-step explanation:

Dado

Salario = 4.500

Incremento = 4%

Necesario

Determinar el nuevo salario

El nuevo salario se calcula utilizando lo siguiente:

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Nuevo salario = 4500 + 4% * 4500

Nuevo salario = 4500 + 180

Nuevo salario = 4680

Por lo tanto, el nuevo salario es 4680

6 0
3 years ago
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