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2 years ago

Diane is 25 years older than her son Craig. The sum of their ages is 105. How old are Diane and Craig?

Mathematics

2 answers:

Stells [14]2 years ago

5 0

Answer:

40 and 65

Step-by-step explanation:

Craig is 40.

Diane is 65.

40+25=65.

Diane is 25 years older than Craig.

40+20=105

ankoles [38]2 years ago

4 0

Answer:

Let Craigs age = x

Therefore Dianes age = 25 + x ( since she's 25 years older)

Dianes + Craigs age = (25 + x) + x = 105 (They said both of their ages sums up to 105)

25 + 2x = 105

2x = 80

x = 40

Craigs age is 40 years old.

Dianes age is 65 years old.

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the sum of Ages of two brother is 18the elder brother is 10 years older than younger brother then what are the ages of those bro

NemiM [27]

Answer:

Age of younger brother is 4 years..

And age if elder brother is 14 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+10 years.

x+x+10 = 18

2x+10 = 18

2x = 18-10

2x = 8

x = 8/2

x = 4

Age of younger brother is 4 years.

Age of elder brother = x + 10

= 4 + 10

= 14 years.

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2 years ago

I need to find side x of this 30 60 90 triangle i think with special right triangle methods

zvonat [6]

This is a 30-60-90 triangle and we can apply rules to easily identify the hypotenuse of this triangle, which is denoted by <em>x</em>.

The length of the longer side of the triangle is given in the problem. To solve the hypotenuse of this triangle, let's solve first for the length of the shorter side of the triangle.

The shorter side can be solved by just dividing the length of the longer side by the square root of 3. Hence, we have

$short=\frac{4}{\sqrt[]{3}}$

Since we already have the values for the length of the shorter side and longer side, we can solve for the hypotenuse using the Pythagorean theorem.

$\begin{gathered} c=\sqrt[]{a^2+b^2} \\ c=\sqrt[]{4^2+(\frac{4}{\sqrt[]{3}})^2} \\ c=\sqrt[]{16+\frac{16}{3}} \\ c=\sqrt[]{\frac{64}{3}} \\ c=\frac{8}{\sqrt[]{3}}\cdot\frac{\sqrt[]{3}}{\sqrt[]{3}} \\ c=\frac{8\sqrt[]{3}}{3} \end{gathered}$

Hence, the value of hypotenuse for this right triangle is

$x=\frac{8\sqrt[]{3}}{3}$

4 0

3 months ago

WRITE THE FOLLOWING EQUATION IN THE FORM OF Y=MZ (a) 3x+4y=7

Shalnov [3]

Answer:

$y = \frac{ - 3x}{4} + \frac{7}{4}$

Step-by-step explanation:

First transpose 3x

you are having 3x+4y=7

by transposing you will get

4y=-3x+7

divide by 4 throughout by making y subject of the formula you will find your equation as y=mx+c.

4 0

2 years ago

What is the solution to this equation?

kirill [66]

The correct answer for the problem above is -23 .

Explanation

1. collect the like terms

2x + x - 11 + 3 - 7x = 15
2x , x , & -7x are like terms
-11 & 3 are like terms

2x + x -7x = -4x
-11 + 3 = -8

2. Move constant to the right-hand side and change its sign .

-4x = 15 + 8
-4x = 23

3. Make the signs on both sides of the equation

-4x = 23 turning into 4x = -23

answer =

4x = -23

7 0

2 years ago

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algol13

Answer:

3 1/3 miles

Step-by-step explanation:

If Samantha walks 2/3 miles everyday and they are asking for 5 days

2/3miles · 5days = 3 1/3 or 10/3 miles

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