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2 years ago

Michael is 17 years older than John. In 4 years, the sum of there ages will be 49. Find Michaels present age.

Mathematics

1 answer:

Crank2 years ago

7 0

Answer:

Explanation:

Let John be x years old.

Michael is x+17 years old.

In four years time, the sum of their ages will be 49:

x+x+17+2(4)=49

2x=24

x=12

So Michael is 12+17=29 years old now.

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2 years ago

∠1and ∠2 are a linear pair, and ∠2 and ∠3 are vertical angles. m∠1=(3y+10)∘ and m∠3=(5y−30)∘. What is m∠2?

kykrilka [37]

Answer:

$m\angle 2=95^{\circ}$

Step-by-step explanation:

It is given that ∠1 and ∠2 are a linear pair. So, there sum is 180 degrees.

$m\angle 1+m\angle 2=180^{\circ}$ ...(1)

∠2 and ∠3 are vertical angles. So, both are equal.

$m\angle 2=m\angle 3$ ...(2)

From (1) and (2), we get

$m\angle 1+m\angle 3=180^{\circ}$

Substitute $m\angle 1=(3y+10)^{\circ}$ and $m\angle 3=(5y-30)^{\circ}$ in the above equation.

$(3y+10)^{\circ}+(5y-30)^{\circ}=180^{\circ}$

$(8y-20)^{\circ}=180^{\circ}$

$8y-20=180$

$8y=180+20$

Divide both sides by 8.

$y=\dfrac{200}{8}$

$y=25$

The value of y is 25.

Using equation (2), we get

$m\angle 2=m\angle 3=(5y-30)^{\circ}$

Substitute y=25.

$m\angle 2=(5(25)-30)^{\circ}$

$m\angle 2=(125-30)^{\circ}$

$m\angle 2=95^{\circ}$

Therefore, $m\angle 2=95^{\circ}$ .

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2 years ago

A hot dog bun (volume 240cm3) with a density of 0.15g/cm3 is crushed in a picnic cooler into a volume of 195cm3. What is the den

Arisa [49]

Answer:

weight of hot dog bun = 240 cm^3 x 0.15 g/cm^3 = 36 gram

36 gm / 195 cm^3 = 0.185 g/cm^3

Step-by-step explanation:

Density is mass/volume. The mass of the bun never changes, only its volume. Solve for the original mass.

Now think about it logically. Should the bun be more sense now that it has been crushed? Of course! The math proves it.

Therefore the answer is: 0.185 g/cm^3

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2 years ago