All categories

3 years ago

Katie is twice as old as her sister Mara. The sum of their ages is 24. Find their ages.

1 answer:

4 0

So k=katie's' age
m=mara's age

k is 2 times as old as m
k=2m

sum is 24
add means sum
k+m=24

so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16

katie=16
mara=8

You might be interested in

3) The width is changed by a scale factor of . What is the new volume? 10 cm 15cm 5 cm

MrRa [10]

I think the answer is A i’m sorry if it’s wrong i’m not for sure.

6 0

3 years ago

Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm

Ksju [112]

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

6 0

3 years ago

For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?

Troyanec [42]

Answer:

40 adults and 140 kids

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the

xxMikexx [17]

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

$V = \pi r^2h + \frac{1}{3} \pi rH$

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

$V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3$

The volume of the silo is 5127079.21 cubic feet.

3 0

3 years ago

write the vertex form quadratic equation which has a vertex at (2,-1) and psses theough the point (4,3)

andrey2020 [161]

Answer:

Step-by-step explanation:

8 0

3 years ago