III. Solve the problems below: 42 boys and 63 girls took part in an art competition.(4 pts) Find the ratio of the number of boys to the number of girls (always in the simplest form). Find the ratio of the number of boys to the number of girls to the total number of children (always in the simplest form).

Answers

Answer 1

Answer:

Ratio of number of boys to girls= 2:3

Ratio of number of boys to girls to total number of children= 2:3:5

Step-by-step explanation:

42 boys and 63 girls took part in an art competition

The ratio of the number of boys to the number of girls can be calculated as follows

= 42/63

= 2:3

The ratio of the number of boys to girls to total number of children can be calculated as follows

= 42/63/105

= 2:3:5


Related Questions


Find the greatest common factor (GCF) for 18, 27 and 54.

Answers

Answer:

9

Step-by-step explanation:

A container of colored candy contains 10 red candies, 11 yellow candies, 8 green
candies, and 8 blue candies. Which will have a probability closest to 0.0?
O A. drawing a red or blue candy
OB. drawing a red, yellow, or blue candy
O C. drawing a yellow or blue candy
OD. drawing a green, yellow, or blue candy

Answers

A is the correct answer.

When measuring the sides, triangles can be classified as acute, scalene and isoceles

Answers

Answer:

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

Step-by-step explanation:

In any triangle, there are at least two acute angles

The types of triangles according to their angles are:

Acute-angled triangle ⇒ 3 angles are acuteRight-angled triangle ⇒ 2 acute angles and 1 right angleObtuse-angled triangle ⇒ 2 acute angles and 1 obtuse angle

The types of triangles according to their sides are:

Equilateral triangle ⇒ 3 equal sidesIsosceles triangle ⇒ 2 equal sidesScalene triangle ⇒ 3 different side

You can classify the type of the triangle according to its angle using the measuring of its sides.

If a triangle has sides length a, b, c where c is the longest side

∵ a² + b² > c²

∴ The triangle is an acute-angled triangle

∵ a² + b² = c²

∴ The triangle is a right-angled triangle

∵ a² + b² < c²

∴ The triangle is an obtuse-angled triangle

You can classify the type of the triangle according to its sides using the measuring of its sides.

If a triangle has sides lengths a, b, c

∵ a, b, c have unequal lengths

∴ The triangle is scalene

∵ a and b or a and c or b and c have equal lengths

∴ The triangle is Isosceles

∵ a, b, c have equal lengths

∴ The triangle is equilateral

Yes, When measuring the sides, triangles can be classified as acute, scalene, and isosceles

7. Kayla has set aside $105 to spend on books and CDs. Each book b cost $5 and each CD c costs $12. Which inequality could be used to determine how many books and CDs Kayla can buy?

Answers

5b+12c=105    She can buy 21 Books or 8 CDs and 1 book or a variation of both.

A baseball player swings at the ball 56 times over a season and hits 16 times.
What is the ratio of hits to misses?

Answers

Answer:

2:5.

Step-by-step explanation:

Number of misses = 56 - 16 = 40.

Ratio = 16:40

- which simplifies to   (16/8) : (40 / 8)

= 2:5.

At the beginning of his science experiment, Bob's solution had a temperature of

2°C. During the experiment, the change in the solution's temperature was

6°C

Answers

Answer:

Its -8

Step-by-step explanation:

Frank and Jasmine use the same trail for their Saturday walk. Frank walks at an average pace of 2 miles per hour. Jasmine starts when Frank is at the 3 mile marker and walks at an average pace of 4 miles per hour. Write an algebraic equation that could be used to determine how many hours Jasmine will walk before she catches up to Frank.

Answers

Answer:

Jasmine will walk 1hr:30min before she catches up to Frank

Step-by-step explanation:

let the distance of the trail be x

and let the time be t

given that franks average speed is 2 miles per hour

the distance covered by Frank is x-3

the time taken by Frank to cover the distance is

we know that speed=distance/time

2=x-3/t

2t=x-3  

x=2t+3---------1

Jasmine speed= 4 miles per hour

speed=distance/time

4=x/t

x=4t--------2

equating 1 and 2 above we have

2t+3=4t

solving for t we have

4t-2t=3

2t=3

t=3/2

t=1.5

That is 1hr 30 min

 

Anyone have this answer? (Do not mind that there is one selected already lol.)

Answers

Answer:

6 Buckets

Step-by-step explanation:

30-12 =18

18 divided by 3 = 6

Answer:

6

Step-by-step explanation:

30-12=18

18/3=6

You are correct! It's 6 buckets :)

Count and fill in the missing numbers.
..., 44, 45, 46, 47, 48,

Answers

Answer: 49 50 51 ?

Step-by-step explanation:

Answer:

49

Keep adding 1

Solve for [tex]$\abs{5p+2}\ \textless \ -4$ .[/tex]
Hint: There should be two answers, please list both of them.

Answers

5p + 2 < -4
-2 on both sides
5p < -2
/5 on both sides
p < -0.4
p < -2/5

Ruby invested $6,200 in an account paying an interest rate of 4.3% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 12 years?

Answers

Answer:

the answer is really

Step-by-step explanation:

10400

hey can anybody help me with these? thank you!

Answers

Part 1. I believe the answer to be C. m- 200, b- 0.
Part 2. I think the answer is A. m- 250, b- 2000.
Let me know if i’m correct so others can use this answer.
Good luck

-4.5x(-2) =
i need help solving this equation

Answers

Answer:

9x

Step-by-step explanation:

-4.5X(-2)

-4.5x * -2

9x

What is the value of x in the equation (4x – 1) - 3x =
<= -(x + 2)?
1 3 19
16 16 16
3
X =

Answers

Answer:

Step-by-step explanation:

x − 1. _. 3. = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10. Choices A, B ... written as the equation 16 + 4x = 10 + 14, which is equivalent to 16 + 4x = 24. Subtracting

What is the answer?
A. B. C. or D? ​

Answers

Answer: I believe it is either B or D because it uses rotation!

Step-by-step explanation:

D!!! because it’s 180° on the graph

Clare is paid $90 for 5 hours of work. At this rate, how long will it take her to save $360?

Answers

Answer:

20 hours

Step-by-step explanation:

We can use a ratio to solve

90dollars      360 dollars

--------------- = -----------

5 hours         x hours

Using cross products

90x = 5* 360

Divide each side by 90

90x/90 = 5 * 360/90

x = 20

20 hours

you are traveling on a bus to camp, which is 200 miles away, at 50 mph. the number of miles, n, that you have to travel after t hours.

Answers

Answer:

Step-by-step explanation:

the answer is 4 hours mark me brainliest pls

E pls and ty help :)

Answers

7x13=91
91-27=64
Answer: 64

Need help pls I dot understand

Answers

The answer is B I believe

Finn is riding his bike at 8.5 miles per hour. How far can he go in 3 hours?

Answers

25.5 miles is the answer to this question.
Answer: 25.5



Step by step: if you’re going 8.5 mph and you multiply by and go 3 miles you’re going 8.5 mph those 3 miles but what I’m trying to say is if you multiply 8.5 times 3 it will give you 25.5 :(

help plz !! Which is the graph of an even monomial function?

Answers

Answer:

Imagie 1 and 2

monomial function graph look like this

<3 ily

Red

Answer:

The first image

Explanation:

Hope you have a great day!

A hockey player strikes a hockey puck. The height of the puck increases until it reaches and maximum height of 3 feet, 55 feet away from the player. The height y (in feet) of a second hockey puck is modeled by y=x(0.15-0.001x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answers

Answer:

Distance traveled by hockey puck of second player is 40 feet more than that of first player.

Step-by-step explanation:

Maximum height of 3 feet is attained by the hockey puck of first player is when the puck is 55 feet away from the player.

It is at the mid point of the total horizontal distance to be traveled by the hockey puck.

So, the horizontal distance traveled by hockey puck of first player = 55 + 55 = 110 feet

Second player:

[tex]y=x(0.15-0.001x)[/tex]

where [tex]y[/tex] is the height of a second hockey puck

[tex]x[/tex] is the horizontal distance.

When the puck hits the ground, [tex]y=0[/tex]

Now, let us find the value of [tex]x[/tex].

[tex]\Rightarrow 0=x(0.15-0.001x)[/tex]

At [tex]x=0[/tex] feet or [tex]x=150[/tex] feet, [tex]y=0[/tex]

Therefore, the distance traveled by second hockey puck is 150 feet.

So, the answer is:

Distance traveled by hockey puck of second player is 40 feet more than that of first player.

Plant A
Use the data for each plant's growth to determine and
compare the rates of change
How fast does Plant Agrow each week?
Height in.)
TO
How tast does Plant grow each week?
Time (weeks)
Which plant grows faster each week?
Plant B
Weeks
2
3
Height (in)
7.3
8.7
4
10.1

Answers

Answer:

1.8, 1.4, plant A,0.4in.

Step-by-step explanation:

it was right on edge

Answer:

1.8, 1.4, plant A, 0.4 in.

Step-by-step explanation:

It was right on edge.

The graph represents how kyren spent her allowance this week. If her allowance was $20, how much did she spend on the spirit shirt

Answers

Answer:8 Dollars

Step-by-step explanation: The whole is 100 so you add 50 and 10 together which is the lunch and candy which equals 60 then you subtract the whole number 100 by 60 giving you 40 which is the percentage of 20 that was spent on the spirit shirt.And the way I do it is 10 percent of 20 is 2 so times 2 by 4 which gives you 8 dollars.

what is the measure of angle A?

Answers

Answer:

60

Step-by-step explanation:

60 plus 60 plus 60 is 180

has to add up to 180

What is the value of Y?

Answers

I would say y=1.5x +8

When Aaron started, he was on page 8 (Which is the +8 part.) he reads 1.5 pages every minute (Which is the 1.5x part.)

A kitchen sink faucet streams 0.5 gallons of water in 10 seconds. A bathroom sink faucet streams 0.75 gallons of water in 18 seconds. Which faucet will fill a 3-gallon container faster?

Answers

Answer:

Kitchen sink

Step-by-step explanation:

please help me im stuck .................

Answers

Answer: Choice A) Empty set

This is another way of saying "no solutions"

============================================

Explanation:

Your teacher made a typo. The given inequalities will have boundary lines that both have positive slopes, not negative slopes. So the boundary lines should go uphill as you move from left to right.

See the diagram below to see what the graph should look like.

The upper dashed line is y = (1/2)x+3. The lower dashed line is y = (1/2)x-2

The upper dashed line represents the boundary for y > (1/2)x+3. Region 1 is the set of solution points for y > (1/2)x+3

While the solution set for y < (1/2)x-2 is represented with region 3

There is no overlap between regions 1 and 3 due to the parallel boundary lines.

Put another way: there are no (x,y) points that are in both region 1 and region 3 at the same time.

So that's why there are no solutions to this system of inequalities.

---------------------

Alternative method:

Convert the first inequality into Ax+By > C form

y > (1/2)x+3

2y > x + 6 .... multiply both sides by 2

-x+2y > 6 ... subtract x from both sides

z > 6 .... let z = -x+2y

Convert the second inequality into Ax+By < C form

y < (1/2)x-2

2y < x - 4

-x+2y < -4

z < -4 .... let z = -x+2y

We have some number z that is both z > 6 and z < -4 at the same time, but no such number exists. So this is another way to see we have an inconsistent system with no solutions.

Solve v +8 < 3 or -80 <-40.

Answers

Answer: v < -5 or v < 40

Explanation:

v + 8 < 3
v < 3 - 8
v < -5
OR:
v - 80 < -40
v < -40 + 80
v < 40

Please help with questions 1 -29
1) 26 = 8 + v 2) 3 + p = 8
3) 15 + b = 23 4) −15 + n = −9
5) m + 4 = −12 6) x − 7 = 13
7) m − 9 = −13 8) p − 6 = −5
9) v − 15 = −27 10) n + 16 = 9
11) −104 = 8x 12) 14b = −56
13) −6 = b1814) 10n = 40
15) v8 = 2 16) 16 = k11
17) −15x = 0 18) −17x = −204
19) 21 = −7n20) m4 = −13
21) −126 = 14k 22) −143 = −11x
23) −16 + x = −1524) −5 = a18
25) −17 = x − 15 26) n − 8 = −10
27) v7 = 828) a + 11 = 20
29) −7 + m = 8 30) 18 + m = 8

Answers

1: v = 18
2: p = 5
3: b = 8
4: n = 6
5: m = -16
6: x = 20
7: m = -4
8: p = 1
9: v = -12
10: n = -7
11: x = -13
12: b = -4
13: b = - 1/3
14: n = 4
15: v = 1/4
16: k = 2^4/11
17: x = 0
18: x = 12
19: n = -3
20: m = -13/4
21: k = -9
22: x = 13
23: x = 1
24: a = - 5/18
25: x = -2
26: n = -2
27: v = 828/7
28: a = 9
29: m = 15
30: m = -10
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