Simplify the following expressions: 1/3(6a+12)+3a

Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei

Black_prince [1.1K]

Answer:

Cedric's share=$120

Abel's share=$60

Step-by-step explanation:

Abel will receive half as much as Cedric

Let

Cedric's share=x

Abel's share = 1/2 of x

Total money=$180

x + 1/2x = 180

2x+x/2 =180

3/2x=180

Divide both sides by 3/2

x= 180÷3/2

=180 × 2/3

=360/3

=120

Therefore,

Cedric's share = x = 120

Abel's share=1/2x

=1/2 × 120

=120/2

=60

Cedric's share=$120

Abel's share=$60

4 0

1 year ago

julia puts her stickers into arrays in an album. some of her stickers are animal stickers. there are a different number of stick

lina2011 [118]

The total number of stickers :

Page 1 : 28

Page 2 : 24

Page 3 : 72

Page 4 : 48

<h3>Further explanation </h3>

There are several properties in integer multiplication operations

1. closed property

Multiplication between integers will produce integers too

2. commutative property

a x b = b x a

3. associative property

ax (bxc) = (axb) xc

4. identity

ax1 = 1 x a = a

5. distributive property

* addition

ax (b + c) = axb + axc

* substraction

ax (b-c) = axb - axc

We can use facts to solve multiplication problems

for example :

6 x 7 = (5 x 7) + ( 1 x 7) = 42

we can break facts with 6 into 5s and 1s facts from multiplication above

julia puts her stickers into arrays in an album

From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts

Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48

<h3>Learn more</h3>

the multiplicative identity property

brainly.com/question/4238982

Keywords : stickers, arrays, album, page, Julia

#LearnWithBrainly

5 0

2 years ago

A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th

solmaris [256]

Answer:

Total number of riders that ride on carpool daily = 2000

Total Cost of one way ticket = $ 5.00

Total Amount earned if 2000 passengers rides daily on carpool = 2000 × 5

= $10,000

If fare increases by $ 1.00

New fare = $5 + $1

= $6

Number of passengers riding on carpool = 2,000 - 100 = 1,900

If 1,900 passengers rides on carpool daily , total amount earned ,if cost of each ticket is $ 6 = 1900 × $6 = $11400

As we have to find the inequality which represents the values of x that would allow the carpool service to have revenue of at least $12,000.

For $ 1 increase in fare = (2,000 - 1 × 100) passengers

For $ x increase in fare, number of passengers = 2,000 - 100·x

= (2,000 - 100·x) passengers

New fare = 5 + x

New Fare × Final Number of passengers ≥ 12,000

(5+x)·(2,000 - 100 x) ≥ 12,000

5 (2,000 - 100 x) + x(2,000 - 100 x) ≥ 12,000

10,000 - 500 x + 2,000 x - 100 x² ≥ 12,000

100 - 5 x + 20 x - x² ≥ 120

- x² + 15 x +100 - 120 ≥ 0

-x² + 15 x -20 ≥ 0

x² - 15 x + 20 ≤ 0

⇒ x = 1.495

x ≥ $ 1.495, that is if we increase the fare by this amount or more than this the revenue will be at least 12,000 or more .

Also, f'(x) = 0 gives x = 7.5

⇒ The price of a one-way ticket that will maximize revenue is $7.50

7 0

1 year ago

Please help me. The function g(x) is a transformation of f(x). If g(x) has a y-intercept at 3, which of the following functions

Step2247 [10]

<h3>Answer: D. g(x) = f(x)+4</h3>

The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.

We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.

8 0

1 year ago

Read 2 more answers

a water tank holds 24,000 gallons how many hours will it take for two thirds of the water to be used if the water is used at an

melomori [17]

In this question there are several important information's worth noting.Based on these information's the answer can be easily found. It is given that the total capacity of the tank is 24000 gallons. in 24 hours or in 1 day the amount of water used is 650 gallons. The question requires us to find the time it will take to use 2/3 rd of the water in the tank.
then
2/3 rd water in respect to total water in tank = (2/3) * 24000
= 16000
So 2/3 rd water of full tank is equivalent to 16000 gallons.
Now
650 gallons of water is used in = 24 hours
So
16000 gallons of water will be used in = (24/650) * 16000
= 590.77 hours
So it will take 590.77 hours to consume 2/3rd of the total water present in the tank.

6 0

1 year ago