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cricket20 [7]
3 years ago
5

I’m confused on what to do next please help

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

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Jane cycles 27km at 12m/h. How long does she take?
emmainna [20.7K]
Every hour at 12km/h I would go 12km. Simple.

The distance traveled in km is equal to 12 times how many hours you go.

If I go 27 km, I can go in reverse and divide by 12 to get 2.25 hours.

A quarter of an hour is 15 minutes, so the answer would be 2 hours and 15 minutes.

6 0
3 years ago
Sam está haciendo tartas de manzana y tartas de calabaza para su tienda de tartas. Ella vende cada pastel de manzana por $ 7 y c
Margaret [11]

Answer:

pastel de manzana:  32

pastel de calabaza: 48

Step-by-step explanation:

pastel de manzana: x

pastel de calabaza: 80 -x

7 x + 6 (80 - x) = 512

7x + 480 - 6x = 512

pastel de manzana: x = 512 - 480 = 32

pastel de calabaza:  80 - 32 = 48

cheque: 7 x 32 + 6 x 48 = 512

4 0
4 years ago
A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Pla
denpristay [2]

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

6 0
3 years ago
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9,
timama [110]

Answer:

Step-by-step explanation:

Given

<LON = 77°

<LOM = (9x+44)°

<MON = (6x+3)°

The addition postulate is true for the given angles since tey have a common point O:

<LON = <LOM+<MON

Since we are not told what to find we can as well look for the value of x, <LOM and <MON

Substitute the given parameters and get x

77 = 9x+44+6x+3

77 = 15x+47

77-47 = 15x

30 = 15x

x = 30/15

x = 2

Get <LOM:

<LOM = 9x+44

<LOM = 9(2)+44

<LOM = 18+44

<LOM = 62°

Get <MON:

<MON = 6x+3

<MON = 6(2)+3

<MON = 12+3

<MON = 15°

6 0
4 years ago
A real word problem that uses perpendicular.
BaLLatris [955]
One common example of perpendicular lines in real life is the point where two city roads intersect. When one road crosses another, the two streets join at right angles to each other and form a cross-type pattern. Perpendicular lines form 90-degree angles, or right angles, to each other on a two-dimensional plane<span>Other real-world examples of perpendicular lines include graph paper, plaid patterns on fabric, square lines of floor tiles, lines of mortar on brick walls, the intersecting lines of a Christian cross, metal rods on the cooking surface of a barbecue grill, wooden beams in the wall of a house, and the designs on country flags such as Norway, the United Kingdom, Switzerland, Greece, Denmark and Finland. Perpendicular lines form the corner of squares and rectangles in various real-world shapes.Perpendicular lines create four right angles at their intersection point, making 360 degrees total. Perpendicular lines also form one angle of a right triangle. Perpendicular lines are concepts taught in algebra and geometry as students learn to calculate slopes of lines on graph paper.</span><span>Parallel lines differ from perpendicular lines in that parallel lines never intersect. Real-world examples of parallel lines include railroad tracks, stripes on the American flag, power lines hung between poles, lines on composition paper and plugs at the end of electrical cords.</span>.
6 0
4 years ago
Read 2 more answers
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