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3 years ago

12

Leo's age is three times Stan’s age. In five years, Leo will be twice as old as Stan. How old is each now?

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

L=3S

In 5 years,

L+5=2(S+5)

L+5=2S+10

L=2S+5

Substituting from above,

3S=2S+5

S=5

So then,

L=3(5)

L=15

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Could someone please help me with this thank you very much

elena-s [515]

Answer:

Answer for #10:

$y = 2 \: and \: x = 1$

Answer for #1:

$x = 2 \: and \: y = - 1$

Step-by-step explanation:

In order to solve a simultaneous equation using the substitution method you have to:

Use one of the equation and substitute it into the other equation, in this case equation <em>B</em><em> </em>was substituted into equation <em>A</em><em>.</em>

<em> $equ. \: a = (2x - 3y = 7) \\ equ. \: b = (x = 1 - y)$ </em>

Therefore since x = 1 - y, equation A would be:

$2(1 - y) - 3y = 7 \\ (2 - 2y) - 3y = 7 \\ - 2y - 3y = 7 - 2 \\ - 5y = 5 \\ y = - 1 \: and \: x = 2$

8 0

2 years ago

How can I solve |2x - 5| = 4?

Ray Of Light [21]

well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.

$\bf |2x-5|=4\implies \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}$

4 0

3 years ago

A box of cereal states that there are 84 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories a

Tamiku [17]

Answer:

first question is 112, second is 336

Step-by-step explanation:

you only need to do is 84÷3/4=112calories

this is one box of cereal state if you want three

box calories just 3×112

3 0

3 years ago

What is $112 in 8 hours

never [62]

Answer:

A unit rate must have a denominator of one:

n/1

So you would get n by dividing 112 by 8: 112 divided by 8 = 14 so n = 14.

14/1 or $14 p/ hr

8 0

3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

1 year ago