Answer:
We must have less than 10 guests
Step-by-step explanation:
Location 1
cost = 100h+20p where h = hours and p = person
Location 2
cost = 600 for p < 25
Since there are less than 25 guests and h = 4 both equations are valid
Location 1
cost = 100(4)+20p = 400+20p
Location 2
cost = 600
We want location 2 to be less expensive
600< 400+20p
Subtract 400 from each side
600-400 < 20p
200 <20p
Divide by 20
200/20 < 20p/20
10 <p
We must have less than 10 guests
Answer:
x = -18
Explanation:
To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.
After doing this, you can solve and isolate x.
Work is shown in the attached picture.
First things first, you need to figure out the amount of passengers on the fifth bus.
Solution:
40 x 4
-- - = 32 passengers
1 x 5
*The fifth bus has 32 people.
You can now figure out the total number of passengers in all of the buses.
(40 x 4) + 32 = 192
*Overall, all 5 buses have a total of 192 passengers.
Since you have the total number of passengers, you can now figure out the numbers of adults who went on the field trip, which is 1/8 of all the passengers.
Solution:
192 x 1
----- - = 24 passengers
1 x 8
The final answer is: 24 adults went on the field trip.
Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
13x
13
=
26
13
x=2
Answer:
x=2
Answer:
You will use 2 cups of blue paint for 4 cups of yellow paint.
Step-by-step explanation:
Given that:
There is 1/3 cup of blue paint for every 2/3 cup of yellow paint
We will find unit rate in terms of yellow paint.
2/3 cups of yellow paint = 1/3 cup of blue paint
Multiplying both sides by 3/2
Now,
4 cups of yellow paint = 
cups of blue paint
4 cups of yellow paint = 2 cups of blue paint
Hence,
You will use 2 cups of blue paint for 4 cups of yellow paint.
