Paul is four times as old as his brother.In six years time Paul will be eighteen. How old will his brother be in six years time?

1 answer:

7 0

Paul is 12 years old. If he is four times as old as his brother that means his brother is 3. Paul will be 18 in six years time, meaning his brother will be 9 in six years time.

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Nana76 [90]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Solve the system of linear equations by elimination 2x+7y=1 2x-4y=12

pishuonlain [190]

$\left\{\begin{array}{ccc}2x+7y=1\\2x-4y=12&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+7y=1\\-2x+4y=-12\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad11y=-11\qquad\text{divide both sides by 11}\\.\qquad\qquad \boxed{y=-1}\\\\\text{Put the value of y to the first equation:}\\\\2x+7(-1)=1\\2x-7=1\qquad\text{add 7 to both sides}\\2x=8\qquad\text{divide both sides by 2}\\\boxed{x=4}\\\\Answer:\ \boxed{x=4\ and\ y=-1\to(4,\ -1)}$

3 0

4 years ago

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form? 5x + 3y = 18 5x – 3y = 30

ddd [48]

$\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
\\\\\\
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}(x-3)$

$\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3)
\\\\\\
3y+15=5x-15\implies -5x+3y=-30\implies \stackrel{\textit{multiplying by -1}}{5x-3y=30}$

bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.

6 0

3 years ago

Read 2 more answers

Nine cereal bars are shared equally by 4 students. How many does each student receive?

ra1l [238]

Answer:

each student gets 2 bars and a quarter of one (2.25 or 2 1/4)

Step-by-step explanation:

6 0

3 years ago

At carter's birthday party his mom made a cake in a rectangular shape. The length of cake is 8cm and width of cake is 6cm. If sh

aleksandrvk [35]

If you're adding a cm to all sides, the length becomes 10cm (because you add 1 cm to each side) and the width is 8cm for the same reason. 10+8+10+8 = 36 cm for the perimeter. 10*8=80 cm squared for the area.

5 0

3 years ago