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vovikov84 [41]
3 years ago
11

Rob is twice Joshua's age. Nick is 5 years older than Joshua. The sum of all their ages is 45. How old is Nick?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Given

Rob is twice Joshua's age

Nick is 5 years older than Joshua.

sum of all their ages is 45.

Find the age of nick.

To proof

As given

Rob is twice Joshua's age

let  Joshua's age = x

than Rob age = 2x

Nick is 5 years older than Joshua.

Nick age = 5 + x

sum of all their ages is 45

than the equation becomes

Joshua's age + Rob age + Nick age = 45

put the value

x + 2x + 5 + x = 45

4x = 40

x = 10

Joshua's age = 10 year

than Rob age = 20 year

Nick age = 5 + 10

                = 15year

Hence proved


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Show all work and provide necessary descriptions
masya89 [10]

Let

P=(P_x,P_y),\quad Q=(Q_x,Q_y)

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

M=\left(\dfrac{P_x+Q_x}{2},\ \dfrac{P_y+Q_y}{2}\right)

We can solve this expression for the coordinates of Q:

M_x = \dfrac{P_x+Q_x}{2} \implies Q_x = 2M_x-P_x

M_y = \dfrac{P_y+Q_y}{2} \implies Q_y = 2M_y-P_y

Plug in the values for the coordinates of M and P to get

Q_x = 2M_x-P_x = 2\cdot 5-11 = 10-11=-1

Q_y = 2M_y-P_y = 2\cdot (-2) - (-10) = -4+10=6

5 0
3 years ago
A 12 m ladder leaning up against a wall makes a 50° angle with the
fiasKO [112]

Answer:

9.19m

Step-by-step explanation:

Check attachment

3 0
4 years ago
Graph the solution on the number line |x-3| <5
Anettt [7]

Answer:

-2<x<8

see below for graph

Step-by-step explanation:

First, we need to solve the inequality.

Inequality: |x-3|<5

Split into two equations:

x-3<5

x-3>-5 (notice how the sign is flipped when we make the number negative)

let's start with x-3<5

add 3 to both sides

x<8

now

x-3>-5

add 3 to both sides

x>-2

The graph is below

the intersection is the solution.

Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)

the equation is -2<x<8

Hope this helps!

8 0
3 years ago
Danny wants to sell his house. He would like to receive $136,000 after deducting the 6% commission due to the real estate agent.
Alex17521 [72]

Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = \frac{\$134,000}{0.94}

= $144,681

Hence, the selling price of the house is $144,681

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I wish I knew this one also
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