There were 47 students on each bus.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that 386 students went on a field trip, eight buses were filled in 10 students traveled in cars.
Therefore,
386 total students - 10 riding in cars
386-10= 376 students riding in buses
Now,
376 students riding in buses dividied by 8 buses
376/8 = 47 students on each bus
Hence, there were 47 students on each bus.
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What is 4.58+y=2.5? Thanks!
Isolate the y. Note the equal sign. What you do to one side, you do to the other. Subtract 4.58 form both sides
4.58 (-4.58) + y = 2.5 (-4.58)
y = 2.5 - 4.58
y = -2.08
-2.08 is your answer
hope this helps
Give me the definition for Pure Substance & give me an example.
Definition: as substances that are made of only one type of atom or molecule.
Examples: tin, sulfur, diamond, water, pure sugar (sucrose), table salt (sodium chloride) and baking soda (sodium bicarbonate).
hope this helps!
half the difference of a number and 7 is 11. what is the number?
1/2(x - 7) = 11
Distributive property.
0.5x - 3.5 = 11
Add 3.5 to both sides.
0.5x = 14.5
Multiply both sides by 2.
x = 29. (This is your answer.)
We can plug 29 into the original equation to verify.
1/2(x - 7) = 11
1/2(29 - 7) = 11
1/2(22) = 11
11 = 11 √ This is correct.
What is equivalent to 4.321 × 10−4 ?
A) 43210
B) 4321
C) 0.004321
D) 0.0004321
Answer:D
Step-by-step explanation:
when you subtract one square number from another the answer is 7 what are the two square numbers
16 and 9 since 16 - 9 = 7
Is 1x+4=10 20-11=11 7+10=17
True false or open?
The first equation is open, since it has an unsolvable variable. 1x could be anything!
The second equation is false, because 20 - 11 = 9 not 11.
The last equation is true, 7 + 10 does equal 17!
1x + 4 = 10
x = 10 - 4
x = 6 (true)
--------------------
20 - 11 = 11
20 - 11 = 9 (false)
-----------------------
7 + 10 = 17 (true)
what is the distance between -15 to 20
The distance between -15 and 20 on the number line is 35 units, calculated by taking the absolute difference between the two numbers.
The distance between two points on a number line can be found by taking the absolute difference between those points. To find the distance between -15 and 20, you subtract the smaller number from the larger one and take the absolute value:
|20 - (-15)| = |20 + 15| = |35| = 35
Therefore, the distance between -15 and 20 is 35 units.
Is x = -3 a solution to the equation -3X^2=-27
Yes it is.
-3(-3)^2 = -27
-3(9) = -27
-27 = -27
Solve for xxx.
−9x+2>18 OR 13x+15≤−4
Answer:
x < -19/13
Step-by-step explanation:
The solution to the inequalities −9x+2>18 and 13x+15≤−4 is to find values of x that satisfy either x < ∘⅗⁄3 or x ≤ ∘⅗/13.
Explanation:To solve the equations −9x+2>18 OR 13x+15≤−4, we need to treat them separately as two different inequalities.
For the first inequality, subtract 2 from both sides to get −9x > 16, then divide by −9 to isolate x, which gives us x < ∘⅓⁄9 or x < ∘⅗⁄3.
For the second inequality, subtract 15 from both sides to get 13x ≤ −4 − 15 or 13x ≤ −19. Finally, divide by 13 to isolate x, leading to x ≤ −⅓⁄13 or x ≤ ∘⅗/13.
Therefore, the solution to the system of inequalities is any x that satisfies at least one of these conditions: x < ∘⅗⁄3 or x ≤ ∘⅗/13.
65 points, I will give brainliest.
What is the coefficient in the expression 3x/13 +4 ?
Enter your answer in the box.
Answer:
I'm pretty sure the co-efficient is 3 mainly because the 3 is in front of the 'x'Answer:
I believe it is 3/13
Im not sure...
Correct Me if im wrong...
the ratio of the length of an airplane wing to its width is 6 to1 . if the length of a wing is 12.5 meters ,how wide must it be
If you set up a proportion, this will make sense.
[tex]\frac{6}{1}= \frac{12.5}{x}[/tex]
Now, Cross Multiply
6x = 12.5
x = 25/12
Tracey is looking at two different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. M and N travel offers a plane ticket for $350 and a rental car for $33 per day. What is the minimum number of days that Shirley’s vacation should be for M and N Travel to have the better deal?
Shirley/Tracey has to stay at least 10 days for the M and N to cost less
Answer:
10 days.
Step-by-step explanation:
Let d represent number of days.
We have been given that ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. The total cost of travelling x days using ABC travel company would be [tex]39x+295[/tex].
We have been given that M and N Travel offers a plane ticket for $350 and a rental car for $33 per day. The total cost of travelling x days using M and N travel company would be [tex]33x+350[/tex].
To make M and N travel the better deal, we will set an inequality, where total cost of x days using ABC travels is greater than M and N travels as:
[tex]39x+295>33x+350[/tex]
[tex]39x-33x+295>33x-33x+350[/tex]
[tex]6x+295>350[/tex]
[tex]6x+295-295>350-295[/tex]
[tex]6x>55[/tex]
[tex]\frac{6x}{6}>\frac{55}{6}[/tex]
[tex]x>9.166[/tex]
Since the closest integer to 9.1677 is 10, therefore, for a vacation of 10 days using M and N travels will be the better deal.
The difference between two thirds of a number and 4 is -92
2/3x - 4 = -92
Add 4 to both sides.
2/3x = -88
Multiply both sides by 3.
2x = -264
Divide both sides by 2.
x = -132. (This is your answer.)
Let me know if you have any other questions! :)
To find the difference between two thirds of a number and 4, you can set up an equation and solve for the number.
Explanation:To find the difference between two thirds of a number and 4, we can use algebraic expressions. Let's assume the number is x.
Two thirds of the number can be expressed as (2/3)x.
The difference between two thirds of the number and 4 can be written as (2/3)x - 4.
According to the problem, this expression is equal to -92. So we have the equation (2/3)x - 4 = -92. Solving this equation will give us the value of x, which is the number we are looking for.
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the attendance at a rugby game is as follows no. of men:no. of women:no. of children = 17:9:12
Given that there are 3512 more men than women work out the number of children attending the game
Answer: Number of children is 5268
Step-by-step explanation:
Since we have given that
The ratio of men to women to children is given by
17:9:12
So,
Number of men be 17x
Number of women be 9x
Number of children 12x
According to question, we have there are 3512 more men than women ,
so,
[tex]17x-9x=3512\\\\8x=3512\\\\x=\frac{3512}{8}\\\\x=439[/tex]
So, Number of children is given by
[tex]12x=12\times 439=5268[/tex]
The number of children who attend the game are:
5268
Step-by-step explanation:The ratio of number of men to number of women to the number of children is given by:
17:9:12
Let x be a constant such that we may define:
Number of men are: 17x
Number of women are: 9x
and the number of children are: 12x
There are 3512 more men than women.
This means that:
17x-9x=3512
i.e. 8x=3512
i.e. x=439
Hence, the number of children who attend the game are:
12x=12×439
= 5268
Need help on 16 please!!!!!!!
1. A triangle-shaped machine part has sides of 21 /2 inches, 31 /4 inches, and 5 inches. The triangle's perimeter is A. 103 /4 inches. B. 113 /8 inches. C. 101 /8 inches. D. 111 /2 inches.
The perimeter of a triangle is the sum of its sides
Perimeter = 21/2 inches + 31/4 inches + 5 inches =
Perimeter = 21*2/2*2 inches + 31/4 inches + 5*4/4 inches =
Perimeter = 42/4 inches + 31/4 inches + 20/4 inches =
Perimeter = (42 inches + 31 inches + 20 inches)/4 = 93/4 inches
Answer : 93/4 inches
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
Marketing Chapter 3 Test Questions
1. A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater estimates that average nightly ticket sales will be $1,750. What is the percentage change in the average number of customers the theater has each night? (Express your answer in whole numbers; round decimals up or down).
Answer is 0.17
2. A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater estimates that average nightly ticket sales will be $1,750. What is the percentage change in ticket prices?
Answer is 0.40
3. A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater estimates that average nightly ticket sales will be $1,750. What is the elasticity of demand in this situation? (Hint: Elasticity of demand is determined by calculating the ratio of the percentage change in the quantity demanded over the percentage change in price.)
Answer is 0.425
4. Study the following data for a product:
Price Amount produced Amount demanded
$200 100,000 7,000
$100 80,000 35,000
$75 45,000 45,000
$50 30,000 70,000
$20 15,000 90,000
Find the market price. ________? Answer is $75
Step-by-step explanation:
1.) The average nightly ticket sales can be calculated as
Average sales = Average no. of customers per night x Charge per ticket
For the second night, we have
$1750 = (N)($7)
This gives us N = 250.
So, the average number of customers decreased as a result of the price increase.
To calculate the percentage change, we use the following formula:
% change = [tex]\frac{250 -300}{300} X 100[/tex]
We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.
2.) % change in prices = [tex]\frac{Final price - Initial price}{Initial price} X100[/tex]
Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.
3.) Elasticity of Demand = [tex]\frac{ percentage change in quantity demanded}{percentage change in price}[/tex]
Hence, we have [tex]\frac{-17}{40}[/tex] = -0.425
This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.
4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.
a new car that costs $22575 depreciates at a rate of 11% per year. The car's value can be modeled by the equation V(x)=22,575(0.89)x. evaluate the function over the domain (2,5,7) and interpet the results
Answer: The values of the function V(x) over the domain (2, 5, 7) are 17881.66, 12,606.01 and 9985.224.
Explanation:
The cost of car is $22575 and the value of car depreciate at a rate of 11% per year.
The value of car can be modeled by the equation,
[tex]V(x)=22,575(0.89)^x[/tex]
Where is number of years after purchase of car or the age of car. We have to find the value of the function over the domain (2,5,7), so put x=2,
[tex]V(x)=22,575(0.89)^2=17881.66[/tex]
It means the value of car will be $17881.66 after two years.
put x=5,
[tex]V(x)=22,575(0.89)^5=12,606.01[/tex]
It means the value of car will be $12,606.01 after five years.
put x=7,
[tex]V(x)=22,575(0.89)^7=9985.224[/tex]
It means the value of car will be $9985.224 after seven years.
evaluate -5/11+ -4/11 writing your answer as a simplified fraction
The answer would be -9/11 because since the denominator is the same, we can ignore it for now. Just add -4 and -5, you get -9. Finally, add the denominator of 11 back to get the answer
A probability experiment consists of rolling a fair 6-sided die. Find the probability of the event below. Rolling a number greater than 2
Answer:
The numbers are 1, 2 ,3, 4, 5 and 6.
Therefore 4 of the 6 numbers are greater than 2 so the probability is 4 out of 6 or 2/3.
Step-by-step explanation:
The question relates to probability while rolling a six-sided die for a number greater than 2. There are four favorable outcomes; 3, 4, 5, or 6. Therefore, the probability of this event is 4/6 or 2/3.
Explanation:The question you asked pertains to the concept of probability, specifically within the context of a fair, six-sided die. In this experiment, there are 6 equally likely outcomes: 1, 2, 3, 4, 5, or 6. When asked for the probability of rolling a number greater than 2, the outcomes we consider favorable are 3, 4, 5, and 6. That's 4 favorable outcomes. So, to calculate the probability of this event, you must divide the number of favorable outcomes by the total number of possible outcomes. Thus, the probability of rolling a number greater than 2 on a six-sided die is 4/6 or reducing to its simplest form becomes 2/3.
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Is this statement true or false the only objects you can find the perimeter of are squares triangles and rectangles true or false
false
hope this helps :)
A new cell phone costs $85, and the sales tax is 9%. what is the amount of sales tax?
This is a great life skill to learn and something you will use everyday. To find tax, multiply the cost by the tax rate as a decimal. Here is how it is done:
cost: $85
tax rate: 9%=0.09 as a decimal
85 times 0.09= 7.65
You will pay $7.65 in taxes on the new cell phone.
Answer:
7.65
Step-by-step explanation:
just did the lesson
-65/64 as a mixed number
-1 1/64
Hope that helps!!
[tex]- \frac{65}{64}[/tex] as a mixed nombre, The correct answer is [tex]-1 \frac{1}{64}[/tex]
what is the answer N= (3×5²×X³)
N= (3×5²×X³)
N = 75 * X³
N = 75 X³
Comment.
Just write out all the factors.
N = 3*5*5 * x*x*x
Note that the "x"s don't combine with anything but themselves. The numbers do.
3*5*5 = 75
N = 75 * x³ Answer
The image from rotating a figure in the first quadrant 180 degree clockwise.
When rotating a figure in the first quadrant 180 degrees clockwise, the x-coordinates and y-coordinates of the points are negated.
Explanation:When an object in the first quadrant is rotated 180 degrees clockwise, its position is reflected across both the x-axis and y-axis. This means that the x-coordinates are negated and the y-coordinates are also negated.
For example, if a point A is located at (3, 4) in the first quadrant, after rotating it 180 degrees clockwise, it will be reflected across the x-axis and y-axis to the position (-3, -4).
Therefore, all points in the figure will have their coordinates negated when rotated 180 degrees clockwise in the first quadrant.
Find the mean (average) of the data set below? 2/4, 18/5, 28/10, 5/20
the mean (average) of the data set below
2/4, 18/5, 28/10, 5/20
We are given with 4 fraction
to find mean , we add all the fractions and divide by 4
Lets add all the fractions
[tex]\frac{2}{4} + \frac{18}{5} + \frac{28}{10} + \frac{5}{20}[/tex]
Make the denominators same
LCM is 20
Try to get 20 in the denominator
[tex]\frac{2*5}{4*5} + \frac{18*4}{5*4} + \frac{28*2}{10*2} + \frac{5}{20}[/tex]
[tex]\frac{10}{20} + \frac{72}{20} + \frac{56}{20} + \frac{5}{20}[/tex]
[tex]\frac{143}{20}[/tex]
Now we divide by 4
[tex]\frac{\frac{143}{20}}{4}=\frac{143}{80}=1\frac{63}{80}[/tex]
What is a if 6= a/4+2
4+2=6 then you bring the 6 to the other side so you have combine like terms. 6-6=0 so its 0
A = 36
Check:
6 = 36/4 + 2
6 = 36/ 6
6 = 6 (True)
Apples cost $0.89/pound. How much will 25 pounds cost?
$22.25 will be your answer for this one
Answer:
Your answer will be 22.25 because 0.89 times 25 equals that
Step-by-step explanation:
What ordered pair represents the point where the x-axis and y-axis intersecf? What is the name of this
point?
Answer:
The answer is A.
Step-by-step explanation:
What is
[tex]4x {}^{2} \times - 3x[/tex]
Hey there!!
Given equation :
... 4x² ( -3x )
... We know, 4 times -3 would be -12 and x² times x would be x³.
Hence,
the answer of 4x² × -3x is
... -12x³
Hope my answer helps!!