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Anni [7]
3 years ago
14

Charlie is x years old. His sister is 4 years younger than charlie. His mother's age is 3 times the quantity of her childrens ag

e. Write an expression to show his mothers age
Mathematics
1 answer:
Wittaler [7]3 years ago
6 0

Answer:

6x - 12

Step-by-step explanation:

In this question, we area asked to write an expression for a mother’s age given some information about the children’s age. We proceed as follows:

Charlie is x years old and his sister is 4 years younger. His sister’s age would be x -4. The total of both ages would be their addition and that is x + x - 4 = 2x - 4

Now, the mother’s age is 3 times this quantity.

Mathematically, that is 3(2x -4) = 6x -12

The expression of the mother’s age is (6x-12) years

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(7)/((12)/(.14))=(50x)/(4.8)
umka2103 [35]

Answer:

x=0.00784

Step-by-step explanation:

5 0
2 years ago
Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

h = (1 - y,x + 3)

Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

<u>At the first translation of (x,y) by x + 3, y - 1</u>

The new point is: (x + 3, y - 1)

<u>At the second translation (90 degrees counterclockwise)</u>

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

If the initial point of h is (2,3),

The new point is:

h = (1 - 3, 2 + 3)

h = (- 2, 5)

5 0
2 years ago
What is the value of x? −7.5(x−3)=3.75
Elena L [17]

{\boxed{ \Huge{ \blue{ \mathcal{{ Answer}}}}}}

⇛-7.5(x−3) = 3.75

⇛-7.5x + 22.5 = 3.75

⇛-7.5x = 3.75 - 22.5

⇛-7.5x = -18.75

⇛x = -18.75 ÷ -7.5

⇛x = -18.75/-7.5

⇛x = 2.5

8 0
2 years ago
Read 2 more answers
7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you’d like.
Black_prince [1.1K]

The different possible mixtures can you make is 1716 .

<u>Step-by-step explanation:</u>

Given that,

  • The total number of flavors available in the shop = 13 flavors
  • The number of flavors you need to choose = 6 flavors

Here, we have to use  the formula for combination,

nCr = n! / r! × (n-r) !

where,

  • n is the total number of flavors
  • r is the number of flavors you need to choose

⇒ 13C6 = 13 ! / 6! × (13-6)!

⇒ 13! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7! )

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!

⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1

⇒ 1716

Therefore, you can 1716 different possible mixtures.

3 0
3 years ago
I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now?
SashulF [63]

Answer:

If x is my daughter's age now, my age now is 4x. So now my daughter is 10 years old, and I'm 40 years old, and in 20 years she'll be 30 and I'll be 60, twice as hers.

Step-by-step explanation:

6 0
3 years ago
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