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3 years ago

There are r red roses in a garden. This is twice as many as there are white roses. How many roses are there?

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer:

1.5r

Step-by-step explanation:

There are r red roses

This is twice as many as there are white roses

Red = r

White = w = r/2

r + w = Total

r + (r/2) = Total

Simplify

r + 0.5r = Total

1.5r = Total

Hope this helps :)

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use the coordinates of the vertex and the point to write the quadratic equation in standard form (-2, -2) point (-1, 1)

kogti [31]

Answer:

Step-by-step explanation:

vertex form of quadratic: y = a ( x − h ) ^ 2 + k

h= -2 , k = -2

y=a(x+2)^2-2

Substitute (-1,1)

1=a(-1+2)^2-2

a=3

y=3(x+2)^2-2

Expanding and give

y=3x^2+12x+10

5 0

3 years ago

Three hikers are dividing the costs of a hiking trip evenly. They bought two permits that cost $15 each, three tram tickets that

cestrela7 [59]

Each hiker owes $41 or 4100 cents for the hiking trip.

Explanation

Cost of each permit is $15. So, the cost of two permits will be: $(\$15*2)= \$30$

Cost of each tram ticket is $19. So, the cost of three tickets will be: $(\$19*3)=\$ 57$

Cost of one can of bear spray is $36.

So, the total cost of the hiking trip $=\$30+\$57+\$36=\$123$

As the three hikers are dividing the total costs of the trip evenly, so each hiker owes $=\frac{\$123}{3}=\$41$ or 4100 cents.

3 0

3 years ago

Please help. Thank you!

katrin2010 [14]

Answer:

3a. ⇒ 2700 cm³

3b. ⇒ 72,900 cm³

3c. ⇒ 27

Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

∴ Its volume = base area × height

∵ Base shaped square with side length 15 cm

∴ Area of base = 15 × 15 = 225 cm²

∵ The model height = 12 cm

∴ She needs = 225 × 12 = 2,700 cm³ of plaster

3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

∴ The height = 12 × 3 = 36 cm

∴ The area of the base = 45 × 45 = 2,025 cm²

∴ She needs = 2025 × 36 = 72,900 cm³ of plaster

3c.

∵ Each length in the actual stage is 3 times the model

∴ The volume of the actual stage = (3)³ the volume of the model

∴ The volume of the actual stage = 27 the volume of the model

To check your answer:

Volume actual ÷ Volume model = 72,900 ÷ 2700 = 27

3 0

3 years ago

How you do this? I've been trying but I keep getting it wrong

zmey [24]

Answer:

you plug in (y) with the top equation

Step-by-step explanation:

step 1: 2x+1/2x-1=-6

step 2: 2.5x-1=-6

step 3: 2.5x-1=-6

+1. +1

step 4: 2.5x= -5. Divide both sides by 2.5

-5/2.5 = -2

step 5: plug in your (x) to find (y)

y= 1/2(-2)-1

step 6: 1/2(-2) = -1

y=( -1)-1

y=-2

step 7: (x,y)= (-2,-2)

step 8: graph your coordinate

I hope that this helped you!

6 0

3 years ago

You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa

harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12 × [ 6 × [ 17

9 ] 4 ] 13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

Number of ways of selecting 25 item from 35 items;

⇒ [ 35

25 ]

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12 × [ 6 × [ 17

10 ] 3 ] 12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0

3 years ago