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3 years ago

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?

Mathematics

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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Write an expression in simplest form for the perimeter of each figure

Juli2301 [7.4K]

QUESTION 12

The given figure has five unequal sides.

The perimeter is the distance around the figure.

So we add all the lengths of the sides of the rectangle to get,

$Perimeter = 5x + 4x + 2.8y + 2x + 2.2y$

We regroup the like terms to obtain,

$Perimeter = 5x + 4x +2x + 2.8y + 2.2y$

This will simplify to give us,

$Perimeter = 11x + 5.0y$

$Perimeter = 11x + 5y$

QUESTION 13

The given figure has two pairs of sides that are equal in length and three unequal sides.

The perimeter can be found by adding all the lengths of the sides of the of the figure.

This will give us

$Perimeter = 6b + 5a + 3b + 4 + 3a + 2b + 5a$

We regroup like terms to obtain,

$Perimeter = 6b + 2b+ + 3b + 5a + 5a +3a + 4 +$

This finally simplifies to ,

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$Perimeter = 11b + 13a + 4 +$

QUESTION 14

This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.

We add all the lengths of the sides of the plane figure to get,

$Perimeter =4j + 4j+ 4j+ 4j + 2h + 2h$

This will simplify to give us,

$Perimeter =16j + 4h$

6 0

3 years ago

A bike and skate shop rents bike for $21 per day and pairs of skates for $20 per day. To remain viable, the shop needs to make a

Leya [2.2K]

Let the number of bike be x and the number of skates be y, then
21x + 20y ≥ 362 . . . (1)
2y = x . . . (2)

Putting (2) into (1), then
21(2y) + 20y ≥ 362
42y + 20y ≥ 362
62y ≥ 362
y ≥ 5.84

The least number of pairs of skates they need to rent each day to make their minimum is 6.

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3 years ago

5=1/3(2x+12)<br><br> Solve for X in simplest form

garik1379 [7]

9514 1404 393

Answer:

x = 3/2

Step-by-step explanation:

Multiply by 3 and solve the resulting 2-step equation.

5 = (1/3)(2x +12)

15 = 2x +12 . . . . . . multiply by 3

3 = 2x . . . . . . . . . . subtract 12

3/2 = x . . . . . . . . . . divide by 2

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3 years ago

Juana’s dad gave her an exponentially increasing allowance as an experiment. On the first day, he gave her 1¢. On the second day

borishaifa [10]

$5.12

Make a chart for this sort of problem it makes it easier. Excel is good for it

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3 years ago

300 ml over 15 min is what rate of ml per hour

Mama L [17]

Answer:

1200 ml per hour

Step-by-step explanation:

To compute what rate is 300 ml over 15 mins as a rate of ml per hour, we do a rule of 3, using a variable x as that amount of ml we don't know yet. We should have everything in the same units, so instead of writing 1 hour we write 60 minutes:

$\frac{300~ml}{15~min}=\frac{x~ml}{60~mins}$