The Grade 8 learners decided to start living more healthily. They will either jog or cycle.
There are 125 Grade 8 learners and they jog and cycle in the ratio 3:2. Calculate how many
learners participate in each sport?​

Answers

Answer 1

Step-by-step explanation:

(125/5)×3=75

75 participate jogging

25×2=50

50 participate in cycling


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Answers

Answer:

3/2 because you divide both by 2

Step-by-step explanation:

hope this helps.     :)

Two forest rangers are standing on a road that runs east-west. One sights a forest fire in the direction 31° east of
north. The other sights the same fire 57° west of north.
Find the distance from each ranger to the forest fire and
the shortest distance from the fire to the road.

Answers

Answer: The forest ranger closest to the fire is at a distance of 9.92 miles (nearest hundredth).

Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.

Point A is to the left and point B is to the right.

Complete triangle ABC so that m∠A = 41° and m∠B = 56°.

The point C represents the location of the fire.

Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.

Because the sum of angles in a triangle is 180°,

m∠C = 180° - (41° + 56°) = 83°.

From the Law of Sines,

x/sin(41) = 15/sin(83)

x = 15*[sin(41)/sin(83)] = 9.915 mi

Step-by-step explanation:

Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.

Point A is to the left and point B is to the right.

Complete triangle ABC so that m∠A = 41° and m∠B = 56°.

The point C represents the location of the fire.

Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.

Because the sum of angles in a triangle is 180°,

m∠C = 180° - (41° + 56°) = 83°.

From the Law of Sines,

x/sin(41) = 15/sin(83)

x = 15*[sin(41)/sin(83)] = 9.915 mi

Find the measure of.. (Image included)
I'll take all the help I can get please :)

Answers

Answer:

[tex]\sf\Huge\boxed{C.40}[/tex]

Step-by-step explanation:

Hello There!

Remember: sum of interior angles of a triangle = 180

so to find x we use this equation

180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)

now we solve for x

step 1 combine like terms

90 + 5 + 5 = 100

7x + 9x = 16x

now we have 180 = 16x + 100

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 80 = 16x

step 3 divide each side by 16

80/16 = 5

16x/16=x

we're left with x = 5

Finally we plug in 5 into x for angle a

7(5)+5

7*5=35

35+5=40

so we can conclude that the measure of angle A is 40 degrees

An art supply store typically sells 7 bottles of green paint for every 6 bottles of blue paint. How many bottles of blue paint does it sell when it sells 35 bottles of ​green paint?

Answers

30 bottles of blue paint?

FIFTY POINTS AND ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!

Find the sum, difference, product, and quotient of 6 x 10^-4 and 1.5 x 10^
-4. Write your answers in scientific notation.
The sum is__
The difference is__
The product is__
The quotient is__

Answers

Answer:

The sum is

6 × 10⁻⁴ + 1.5 × 10⁻⁴ = 7.5 × 10⁻⁴

The difference is

6 × 10⁻⁴ - 1.5 × 10⁻⁴ = 4.5 × 10⁻⁴

The product is

6 × 10⁻⁴ × 1.5 × 10⁻⁴ = 9 × 10⁻⁸

The quotient is

6 × 10⁻⁴ ÷ 1.5 × 10⁻⁴ = 4

Find the measures of the interior angles of the triangle

Answers

Answer:

m∡A = 59°

m∡B = 48°

m∡C = 73°

Step-by-step explanation:

'x' = measure ∡A

73 + x - 11 + x = 180

2x + 62 = 180

2x = 118

x = 59

Jordan wants to play a basketball game at a carnival. The game costs the player $ 5 $5dollar sign, 5 to play, and the player gets to take two long-distance shots. If they miss both shots, they get nothing. If they make one shot, they get their $ 5 $5dollar sign, 5 back. If they make both shots, they get $ 10 $10dollar sign, 10 back. Jordan has a 40 % 40%40, percent chance of making this type of shot. Here is the probability distribution of X = X=X, equals the number of shots Jordan makes in a randomly selected game, and M = M=M, equals the amount of money Jordan gains from playing the game. X = # of shots made X=# of shots madeX, equals, \#, start text, space, o, f, space, s, h, o, t, s, space, m, a, d, e, end text 0 00 1 11 2 22 M = money gained M=money gainedM, equals, start text, m, o, n, e, y, space, g, a, i, n, e, d, end text − $ 5 −$5minus, dollar sign, 5 $ 0 $0dollar sign, 0 $ 5 $5dollar sign, 5 Probability 0.36 0.360, point, 36 0.48 0.480, point, 48 0.16 0.160, point, 16 Calculate the mean of X XX. μ X = μ X ​ =mu, start subscript, X, end subscript, equals shots made

Answers

The mean is the average of the numbers divided by the total number of variables, and the further calculation can be defined as follows:

Calculating the Mean of X:

[tex]= \sum X \times p(X)[/tex]

[tex]= 0\times 0.36 + 1 \times 0.48 + 2 \times 0.16\\\\= 0 + 0.48 + 0.32\\\\=0.80\\\\[/tex]

Therefore, the final answer is "0.8".

Learn more:

brainly.com/question/9087018

Answer:

-1 dollars

Step-by-step explanation:

PLZZZ HELP. Celeste makes 6% Commission on her sales, if her sales for a week total %4580 what is her commission
1. $274
2. $274.50
3. $275.80
4. $272.00

Answers

Answer: 3

Step-by-step explanation:

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle.

8, 14, 12

A) obtuse
B) right
C) acute
D) not a triangle

Answers

Answer:

this triangle would either be acute triangle or not a triangle. I'm not sure which one of those two. sorry.

Answer:

Step-by-step explanation:

Since a^2+b^2>c^2 this is an obtuse triangle.

64+144>196

On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?

Answers

Answer:

Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.

Step-by-step explanation:

Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:

(9,900 / 4.5) - (9,900 / 6.5) = X

2,200 - 1,523.07 = X

676.92 = X

So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.

find the nth term - 8,14,20,26

Answers

The ninth term is 20

Please I will give brainliest

Answers

Answer:

The answer is 91 bags.

Step-by-step explanation:

You divide 45.5 by 0.5

Kevin needs 91 bags because you divide the 45.5g with .5g

This is a portion of the graph of a polynomial function. Apparently the function has a double zero -

a. between -2 and 1
b. between 3 and 4
c. between -2 and -1
d. between 1 and 2

Answers

I am gonna go C I am not completely sure but it is most likely to be the right one

select all of the trips that would take 2 hours​

Answers

Answer:

a field trip

a road trip

a trip to a far antique museum

Uhm I would also appreciate if i had options.

Cam, Yusef, and Spencer have resolved to drink more water each day. The recommended amount of water per day is 64 ounces.

a. Cam has 10% of the recommended amount of water left to drink before bed. How many ounces of water does she need to drink to reach her goal? Show your work and/or explain your reasoning.

Answers

9514 1404 393

Answer:

  6.4 ounces

Step-by-step explanation:

10% of 64 ounces is ...

  0.10 × 64 = 6.4 . . . . ounces

Cam needs to drink 6.4 ounces to reach the recommended amount.

Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the first step?

Answers

Moving the 1 over so that there is a zero on the other side

Identify the following for the following graph:
X-Intercept(s):
2. Y-Intercept:
3. Vertex:
4. Maximum or Minimum
5. Axis of Symmetry
6. Roots/Solutions/Zeros:
7. Domain:
8. Range:

Answers

Answer:

X- Intercepts: (-1,0) and (-3,0)

Y- Intercepts: (0,-6)

Vertex: (-2,2)

Maximum

Axis of Symmetry x=-2

I don't know what the roots/solutions/zeroes are

7. Domain: All real #

8. Range: y is less than or equal to 2

Step-by-step explanation:

Tell me if you need explanation

PLEASE HELP URGENT!!!!!!

Answers

Answer:

a, b & c are possible solutions.

Answer:

I'm no mathematician but I'd say yes. If I'm wrong, I'm sorry

Please Show your work.

Answers

Answer:

Equation: y = 2.5x

Answer: 43.75 drawers

Step-by-step explanation:

Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x

Answer: Substitute 17.5 into x.

y = 2.5(17.5)

y = 43.75 drawers

|(x-19)+11| considr all posibilyties

ill give you brainlyest

Answers

Answer: Here Is the answer

Step-by-step explanation: hoep this helps :)

Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please

Answers

Answer:

x = 15 ft

Step-by-step explanation:

Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:

side AE / side EB = side AD / side DC

4/6 = 10/x

Solve for x

x = (10)(6) / 4

x = 60 / 4

x = 15 ft

3 times the difference of a number and 4 equals 12. Find the number.

Answers

Answer:

Step-by-step explanation:

9

What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for TT.)

Answers

Answer:

9.52

Step-by-step explanation:

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

Answers

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

hi please help i’ll give brainliest please

Answers

Answer:

4

Step-by-step explanation:

15y = 60

60 / 15 = 4

Answer:

Y=4

Step-by-step explanation:

60/15=4

therefore y=4

Given f (x) = 1.5x-7, what value of x makes f (x) = 5?

Answers

Answer:

f(5) = 0.5

Step-by-step explanation:

f (5) = 1.5(5) - 7

f (5) = 7.5 - 7

f(5) = 0.5

Hope this helps!

Need help with this!​

Answers

Answer:

1 = b

2 = a

Step-by-step explanation:

hope that helped

A cone has a volume of 715.92 cubic feet and a radius of 6 feet. What is its height?

Answers

Answer:

The answer is  4295.52

Step-by-step explanation:

20 POINTS! PLEASE HELP ME! WILL GIVE BRAINLIEST! A large pizza has a circumference of approximately 43.96 inches. What is the diameter of the pizza? Use 3.14 for pi

Answers

Answer:

d = 14

43.96/3.14 = 14

hope that helps

Answer:

The diameter of the pizza should be 14.


A rectangular photograph is 8 cm wide and 12 cm long. The photograph is enlarged by increasing the length and width byan equal amount in order to double its area. What are the dimensions of the new photograph?
a. 12 cm by 16 cm
b. 16 cm by 24 cm
C. 20 cm by 30 cm
d. 48 cm by 72 cm

Answers

Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

Learn more about the area;

https://brainly.com/question/1658516

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