Let m be the number of club members.
Since they will share the $350 cost of the bus equally, then each member pays 350/m dollars for their share of the bus cost.
The admission is $8 per person, so the total cost per person is;
[tex]\frac{350}{m} +8[/tex]
Rosea drives her car 30 kilometers to the train
station, where she boards a train to complete her trip. The
total trip is 120 kilometers. The average speed of the train is
20 kilometers per hour faster than that of the car. At what speed
must she drive her car if the total time for the trip is less than
2.5 hours?
Answer:
>34.88km/h
Step-by-step explanation:
Because we have two unknown values in this question (speed of train and speed of car), we will need two equations to solve it.
Firstly, we can make a big equation for time in terms of the vehicle speeds. Time = distance / speed, so if we use t for the train speed and c for the car speed, we get this equation for speed:
30/c + 90/t = 2.5
Here the 30 is the distance traveled by the car in km and the 90 is the distance traveled by the train in km (120 - 30 = 90).
We also know that the train speed was 20km/h faster than the car speed so our second equation is:
c + 20 = t
So now we can substitute this in the big equation so we only have one variable to solve for:
30/c + 90/(c+20) = 2.5
Now to solve this, this first step is to get rid of the fractions, which we can do by multiplying all the terms by the lowest common factor of the two denominators which is c(c+20):
(30/c)*c(c+20) + (90/c+20)*c(c+20) = 2.5
This simplifies to:
120c+600=2.5c^2+50c
and then into the quadratic equation:
2.5c^2-70c-600=0
This can be solved with the quadratic formula or a solver/calculator, and yields the solutions:
c=−6.88, 34.88 (both to 2dp)
We can eliminate the negative solution because speed cannot be negative meaning that Rosea must drive her car at the speed of at least/greater than 34.88km/h if she wants the total trip to be less than 2.5 hours.
Hope this helped!
plzzzzzzzz help this is math
Answer:
5
Step-by-step explanation:
Simplify the equation:
2m -10 = -3m +15
Add 3m
5m -10 = 15
Add 10
5m = 25
Divide by 5
m = 5
Can someone please help, last question. Thanks
Answer:
A) a= 123 b= 123 c= 57
B) d= 98 e= 98 f= 98
C) g= 75 h= 75
Step-by-step explanation:
The ones that have the same angle measurement are corresponding angles, meaning that they have -well- the same measurement.
Adjacent angles are how I figured out the measurements. If you have one angle, the angle next to it will form a straight line, or 180 degrees. You just subtract that measurement to 180 and get the other angle.
Answer:
G= 75 H=75
Step-by-step explanation:
Ok, so with these the lines are marked as parallel. All lines are equal to 180 degrees, so with the given information that one of the angles are 75 degrees, you can subtract 75 from 180 to get 105. Since both g and h did not require that, it was not entirely necessary for me to say that, but I hope that it can be helpful for you. But, because the lines are parallel, it means that the other side also has a 75 degree angle as well as a 105 degree angle. Just looking at the size of the angle that's labeled can help too. the smaller angle is 75. Since the lines are parallel, you can just find the smaller angles and mark them as 75 as well. Hope that was helpful to you!
Solve the equation and check.
7x-5= 3 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The solution is
(Simplify your answer.)
OB. The solution is all real numbers
OC. There is no solution
Answer: x = 2
OA. The solution is
(Simplify your answer.)
Step-by-step explanation:
true or false, the mean, median, and mode of 1, 2, 3, 4, 5 are all the same answer.
Answer:
No
Step-by-step explanation:
No. The mean and median would both be three, but since all the numbers are different, there IS NO mode.
Find the value of the expression: (3 · 100)^4
Answer:
Using trigonometric identities.
8,100,000,000
Step-by-step explanation:
Answer:
8,100,000,000
Step-by-step explanation:
Following the order of operations, expressions in parentheses must be evaluated before exponents, thus:
[tex](3 * 100)^4 \\= (300)^4 &\\&= 300*300*300*300 \\&= 8,100,000,000\ or \ 8.1 * 10^9[/tex]
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(7n+0.9)
Answer:
-7n - .9
Step-by-step explanation:
By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.
To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph of this system to identify all solutions of −x − 3 = x2 − 2x − 15. A. -7 B. -3 C. 0 D. 4
Answer:
I think option (D) 4 is correct
Answer:
Step-by-step explanation:
E D G E
Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?
Answer:
3 cups of vinegar
Step-by-step explanation:
∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup
∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups
= 3 cups
Therefore, Nick will need 3 cups of vinegar to make salad dressing.
Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)
Given :
An expression sin(140°)cos(20°) – cos(140°)sin(20°) .
To Find :
The value of given expression .
Solution :
We know ,
sin(A - B) = sin A cos B - cos A sin B
By comparing with above formula , we get :
A = 140° and B = 20° .
So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .
Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]
Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .
Hence , this is the required solution .
Simplify the expression by combining like terms 3x^2-2x+4x-x^2+3-x
Answer:
2x² +x + 3
Step-by-step explanation:
3x²-2x+4x-x²+3-x
Like terms:
3x² - x² = 2x²
-2x + 4x -x =x
3
2x² + x + 3
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours. (5 points) Blank 1:
Answer:
567 miles
Step-by-step explanation:
Total distance travelled till now = 315 miles
Total time taken to cover the above distance = 5 hours.
Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]
Thus, it means in each hour it covers the distance of 63 miles.
Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:
63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.
Answer:
567 miles
Step-by-step explanation:
please answer the questions!!!please!!!!!
Answer:
I think #5 is c.
Step-by-step explanation:
because it says 50% without decimal and it's doesn't equal to 1/2%
Answer:
Q6 b. 70
Step-by-step explanation:
Change 20% to decimal so it will be 20/100=0.2
350/0.2=70
x-7/4 =-2 I need helpp
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1
Simplify the following expression. - (5a - 9b)
Answer:
-5a + 9b
Step-by-step explanation:
- (5a - 9b)
Distribute the minus sign
-5a + 9b
Alan’s online test has 10 true-false questions and 5 multiple-choice questions. Each multiple-choice question has 4 different answer choices. How many different choices for answering the 15 questions are possible?
Answer:
40 possible answers
Step-by-step explanation:
20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions
Jenna bought 5 reams of paper at the store for a total of $21. The tax on her purchase was $1. Solve 5x + 1 = 21 to determine the price for each ream of paper.
Answer:
$4
Step-by-step explanation:
From the question we have it that jenna bought the 5 reams of paper at a price of 21
The tax on this was $1
The total cost of the paper minus tax = $20
Cost of 1 team = total cost of paper / quantity
= 20/5
From the equation
5x +1 = 21
5x = 21 -1
5x = 20
X = 20/5
X = $4
Therefore we have The cost of a team of paper to be equal to $4
Please help will name brainliest:
Make y the subject of the formula x=a-2by²
Answer:
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Step-by-step explanation:
Given
x = a - 2by² ( add 2by² to both sides )
x + 2by² = a ( subtract x from both sides )
2by² = a - x ( divide both sides by 2b )
y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Answer:
[tex]y = a - x \di2b[/tex]
Step-by-step explanation:
[tex]2b {y }^{2} = a - x[/tex]
[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]
[tex] {y}^{2} = a - x \div 2b[/tex]
[tex]y = \sqrt{a - x \div 2b} [/tex]
Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.
Answer:
The car
Step-by-step explanation:
Train:1mi = 1.6 km
95km = 95/1.6 = 59.375 km
95km/h = 59.375mi//h
Car65mi/h
Comparative:
65 > 59.375
then:
the car is more faster
Answer:
The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65
Step-by-step explanation:
Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the recipe how many gallon
Answer:
Amy and her sister will have 17.5 gallons of lemonade for the school dance.
Step-by-step explanation:
The sister's recipe makes 2 quarts of lemonade. As they want to make 35 times more, so total number of quarts made will be =
quarts
Now, 4 quarts has 1 gallon.
So, total number of gallons in 70 quarts will be =
tex]\frac{70}{4} =17.5[/tex] gallons.
Hence, the answer is 17.5 gallons.
If Zöe orders a book from Store Y, how much tax will she pay? Comparison of Online Bookstores Store X Store Y Cost of book $17.00 $18.00 Tax rate 6% 8% Shipping 10% of cost before tax FREE $1.44 $2.25 $12.25 $14.40
Answer:
A
Step-by-step explanation:
just did the quiz
Answer: The answer is A on the test I got 100% on the question.
Step-by-step explanation: ed 2020
if the selling price of 16 water bottles is equal to the cost price of 17 water bottles find the gain percent earned by the dealer
Answer:
let cp of 17 water bottle is x
cp of 1 water bottle = x/17
from the question
sp of 16 water bottles = x
sp of 1 water bottle = x/16
profit = sp -cp
= x/16 - x/17
= x/272
profit % = profit /cp * 100%
= (x/272)/ (x/17) * 100%
= 6.25%
Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x
Answer:
x = 35Step-by-step explanation:
If points A, B, and C are collinear and point B is the midpoint of AC then
AB = BC
12x - 398 = 22
+ 398 + 398
12x = 420
÷12 ÷12
x = 35
What is the ratio unknown amount (x) invested in company A to the know amount ($24) invested in company B? Write the answer as a fraction
Answer:
X/24
Step-by-step explanation:
he ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B is X/24
Find X .
Please helpppp!! D:
Answer:
try 6 .75. I'm not to sure but I tried
Which sequence of transformations confirms congruence by mapping shape I onto shape II? A. a reflection across the x-axis and then a translation 15 units left B. a 90° clockwise rotation about the origin and then a translation 25 units up C. a 90° counterclockwise rotation about the origin and then a translation 10 units left D. a 180° rotation about the origin and then a translation 10 units right
Answer:
The Answer is D.
Step-by-step explanation:
Answer: Its C
Step-by-step explanation:
If the sum of 3 and y is the sum of 2 and 2
Answer:y=1
Step-by-step explanation:
Answer:
y=4/3
Step-by-step explanation:
3+y=2+2
3y=4
y=4 divided by 3
y=4/3
What is the constant term in the polynomial expression, and what does it represent?
-6(9-9v) what is the answer
1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds
Answer:
[See Below]
Step-by-step explanation:
✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:
[tex]8\frac{1}{3}*30=250[/tex]So [tex]x=250[/tex].
~Hope this helps Mate. If you need anything feel free to message me.