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Elodia [21]
3 years ago
9

Write a one-sentence story problem about a ratio.

Mathematics
2 answers:
Bond [772]3 years ago
6 0
The ratio of boys to girls in a class is 6:8. If there are 40 girls, how many boys are there?

How to solve: 
Boys   Girls
 6            8
 x           40
8 x ? = 40   ? = 5         6 x 5 = 30 30 boys
Serga [27]3 years ago
4 0
There are 2 flutes and 1 drum. What is the ratio?
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The H.C.F. and L.C.M. of two numbers are 6 and 280 respectively if one of the number is 30 find the other number.
viktelen [127]

Answer:

168.

Step-by-step explanation:

H.C.F. = 6 = 2 by 3.

L.C.M. = 280 = 2^3 by 5 by 7.

30 = 2 by 3 by 5.

x = 2^3 by 3 by 7 = 168.

I used the factorisation method.

5 0
3 years ago
Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and
3241004551 [841]

Answer:

Step-by-step explanation:

The shape of the cottage is cube

The edge of the cube is of length is 26ft

L_1 = 26ft.

The roof is in form of a square with with length 17ft.

L_2 = 17ft.

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

L_2 = 28 ft

Then, area of the roof is

A = 28²

A = 784 ft²

The triangular pyramid.

The triangular has four sides

Then,

Each of the area can be calculated using

A = ½ × b × h

Then, the four area of the triangular pyramid

A_total = 4 × ½ × b × h

A_total = 2 × b × h

The base of the triangle is 28ft.

The calculate the height of the triangle

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height is using Pythagoras theorem

a² = b² + c²

17² = 14² + h²

17² - 14² = h²

h² = 93

h = √93

Then, the area of the triangular pyramid is

A = 2 × b × h

A = 2 × 28 × √93

A = 540.04 ft²

Then, the area of the pyramid is approximately 540 ft², since the base of the pyramid cannot be seen.

But if we include the base, then, the total surface area is

A_t = A_triangular + A_base

A_t = 540 + 784

A_t = 1324 ft²

4 0
3 years ago
Lane reads 25 pages in 30 seconds. If lane reads 200 pages at the same rate how long will it take her
olga55 [171]
30÷25=1.2
she reads 1 page in 1.2 seconds
there fore 1.2×200=240
the answer is 240 seconds
8 0
3 years ago
Read 2 more answers
I need help asap please.
Brilliant_brown [7]

Answer:

an exponential equation has the form y=ar^x where y=final amount, a=initial amount, r=rate, and x=time, in this case

y=200(1.18)^x

Step-by-step explanation:

3 0
2 years ago
A boy purchased​ (bought) a​ party-length sandwich 51 in. long. He wants to cut it into three pieces so that the middle piece is
shepuryov [24]

Answer:

Step-by-step explanation:

we have a 51 in sandwich

let a piece be x

we have x= shorter piece

another piece is x+6

another piece (x+6)-9=x-3

x+x+6+x-3=51

3x=51-3

3x=48

x=48/3=16

x=16, longer piece is 16+6=22, shorter piece =10

6 0
2 years ago
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