To find the number of students in the larger class, set up a system of equations using the given information. Solve the system to find the value of x, which represents the number of students in the larger class. The larger class has 28 students.
To find the number of students in the larger class, we can set up a system of equations. Let's call the number of students in the larger class x, and the number of students in the smaller class y. The problem states that one class has 6 more students than the other, so we can write the equation x = y + 6.
We also know that the two classes have a total of 50 students, so x + y = 50. We can solve this system of equations to find the value of x, which represents the number of students in the larger class.
Using the second equation, we can substitute the value of x from the first equation into the second equation: (y + 6) + y = 50. Simplifying this equation, we get 2y + 6 = 50. Next, subtract 6 from both sides to isolate the variable: 2y = 44. Finally, divide both sides by 2 to solve for y: y = 22. Now, we can substitute this value of y back into the first equation to find x: x = 22 + 6 = 28. Therefore, there are 28 students in the larger class.
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Order least to greatest
0, -14,13,-12,-16,17
-16,-14,13,-12,0,17
-12,0,13,-14,-16,17
-12,-14,-16,-,13,17
0,12,13,-14,-16,17
Which is the farthest to the right on a number line
-15
-1
0
1
Find -5
-5
5
1/5
-1/5
The correct order from least to greatest is -16, -14, -12, 0, 13, 17. The number farthest to the right on the number line is 1, and 'finding -5' means locating the number -5 on a number line.
The question involves ordering numbers from least to greatest and finding the position of a number on a number line. To order numbers from least to greatest, you look for the smallest or most negative number and move towards the largest or most positive number. When placed on a number line, negative numbers are to the left of zero, and positive numbers are to the right of zero. Therefore, the correct order from least to greatest is -16, -14, -12, 0, 13, 17.
Moreover, the number farthest to the right on a number line from the options given is 1 because it is the greatest number listed and is positioned to the right of all the other numbers.
Finally, to 'find -5', it simply means to locate the number -5 on the number line. It is negative, so it will be to the left of zero.
the graph show the height of 10 sunflowers grown in pj's garden what is the approximate probability that the next flower (flower 11) will be at least 60 inches?
Answer:1/2
Step-by-step explanation:
5 out of 10 of the flowers are at least 60 inches so 5/10 =0.5 which is = 1/2
The approximate probability that the next flower (flower 11) will be at least 60 inches is 1/2
What is probability?The probability of an event is a number that indicates how likely the event is to occur.
Given that, a graph that shows the height of the 10 sunflowers grown in PJ's garden.
We are asked to find the probability that the 11th flower will be at least 60 inches.
From the given experiment we can see that there are 5 sunflowers with height more than or equal to 60 inches, so the total number of favorable outcomes is 5.
Since there are total 10 sunflowers, so the total number of possible outcomes is 10.
Therefore, the required probability is = 1/2
Hence, the probability that 11th plant will be at least 60 inches is and option B is the correct choice.
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The complete question is attached
what is the value of 4^6/4^8
Use a special right triangle to write cos 30
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they spend on social media in a week.
Part A: What is the group of points labeled A called? What is the point labeled B called? Give a possible reason for the presence of point B.
Part B: Describe the association between a student’s test scores and the number of hours spent on social media
What is 0.77 estimated
Which expression is equivalent to 2(9 + 7)?
A student runs 100 meters in 11 seconds. What is the speed of the student?
speed = distance over time; 1 mile = 1609 meters
9.1 miles per hour
16 miles per hour
20.3 miles per hour
24 miles per hour
100m= 0.621371 miles
11 seconds = 0.0030556 hours
s=d/t
0.0621371miles/0.0030556hours = 20.3355miles/hours
round off to 20.3 miles per hour
What is the value of y in the parallelogram shown below?
Answer:
[tex]y=45[/tex]
Step-by-step explanation:
We have been given an image of a parallelogram. We are asked to find the value of y for our given parallelogram.
We know that opposite angles of parallelogram are equal and two consecutive angles are supplementary.
Using these properties, we can set an equation as:
[tex]35^{\circ}+y^{\circ}+40^{\circ}+60^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}+y^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}+y^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}-135^{\circ}+y^{\circ}=180^{\circ}-135^{\circ}[/tex]
[tex]y^{\circ}=45^{\circ}[/tex]
[tex]y=45[/tex]
Therefore, the value of y is 45.
PLEASE HELP!!! 40 points!!! 1) A school puts on a play. The play costs $1,200.00 in expenses. The students charge $4.00 for tickets. There will be 1 performance of the play in an audiotorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold? A)The domain is all real numbers from negative 1,200 to positive 2,000. B) The domain is all integers from negative 1,200 to positive 2,00. C) The domain is all integers from 0 to 500. D) The domain is all real numbers from 0 to 500.
A standard showerhead in Nathan's house dispenses 11 gallons of water per minute. Nathan changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Nathan save each day with the change in showerheads if he uses the shower for 8 minutes each day? 8 gallons 24 gallons 33 gallons 64 gallons
Answer: 64 gallons
hope it helps XD :))
Solve 8x 2 - 2x - 1 = 0
{-1/4, 1/2}
{-1/2, 1/4}
{1/2}
Which situation will have the greatest number of possible outcomes? A. The number of 5-digit zip codes, where the digits cannot be repeated. B. The number of 5-digit zip codes, where the digits increase. C. The number of 5-digit zip codes, where the digits can be repeated. D. The number of 5-digit zip codes, where the digits are the same.
What is the smallest value in the stem and leaf plot below?
STEM | LEAVES
0 | 2 3 3 7
1 | 0 0 7
3 | 4 4 5 5
Key: 3 | 5 means 35
A:2
B: 20
C: 35
D: 2337
Final answer:
The smallest value in the provided stem-and-leaf plot is 2, corresponding to the lowest stem of 0 with the lowest leaf of 2.
Explanation:
The student's question is asking for the smallest value displayed in a provided stem-and-leaf plot. The stem-and-leaf plot shows numbers divided into stems (tens place) and leaves (ones place), which tells us unique values in the dataset. In this case,
STEM | LEAVES
0 | 2 3 3 7
1 | 0 0 7
3 | 4 4 5 5
According to the provided key, which states that '3 | 5' means '35', we can see that the smallest stem is '0' and the smallest leaf in the '0' stem row is '2', combining these gives us the smallest value in the plot. Therefore, the smallest value in the stem and leaf plot is 2, which corresponds to option A: 2.
What is the domain of the function f (x)=x^2+1
A substance with a density of 1.0 gram per cubic centimeter has a mass of 1.0 kilogram if its volume is 100 cubic centimeters. True or false ? Please answer with explanation
A passenger plane travels at about 7.62 x 10^2 feet per second. The plane takes 1.23 x 10^4 seconds to reach its destination. About how far must a plane travel to reach its destination? Write your answer in scientific notation.
Multiply the two values together. 7.62 x 1.23 = 9.3726
10^2 x 10^4 = 10^6.
9.3726 x 10^6 is the answer in Scientific Notation.
A student attempted to generate an equivalent expression using the distributive property, as shown below: 4(x + 2) = x + 8 What was the mistake made?
How can you express (16 + 40) as a multiple of a sum of whole numbers with no common factor?
Answer: 8 X (2+5)
Step-by-step explanation:
Plz help where it says :write
Leon lives in North Dakota, which has a sales tax of 5%. He just bought a home theater system whose full price was $450, but after sending in a rebate form, he later received a check in the mail for $75. What was the total amount that Leon ended up paying after receiving the rebate? A. $397.50 B. $472.50 C. $393.75 D. $375.00
Answer:
$397.50
Step-by-step explanation:
$450×5%=22.5 (Tax)
$450+22.5=$472 (Full Price of Item)
$472-$75=$397.5 (With Rebate)
final answer=$397.5
Answer please will give lots of pointsssssss
the secure hike has more identical times so it is more consistent,
so answer would be :
the range of play time is less consistent for the X-treamline, but it plays longer
There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)
Let us first assign variables. We say that:
X = number of marigold plants
Y = number of sunflower plants
n = number of months
We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.
Part A.
For marigold plants X, a geometric sequence has a general form of:
X = Xo * (1 + r)^n
where r = -15% = -0.15 (negative since it is decreasing)
Xo = the initial amount of marigold plants = 150
X = 150 * (1 – 0.15)^n
X = 150 (0.85)^n
For the sunflower plants Y, an arithmetic sequence has a general form of:
Y = Yo + d * n
where d = -8 and Yo = 125
Y = 125 – 8 n
Part B. For n = 3
X = 150 (0.85)^3 = 92.12 = 92
Y = 125 – 8 (3) = 101
Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2
X = 150 (0.85)^2 = 108.38 = 108
Y = 125 – 8 (2) = 109
Therefore the two plants have approximately similar amount after 2 months.
Julio is playing a trivia game.on his first turn,he lost 100 points.on his second turn,he lost 75 points.on his third turn,he lost 85 points.Write a sum of three negative integers that models the change to Julio's score after his first three turns.
Which function is undefined when x= pi/2 radians
cos x
cot x
csc x
tan x
Answer:
Option 4 that is tan x will be undefined at x=pi/2 radians
Step-by-step explanation:
[tex]\frac{\pi}{2}radians=90^{\circ}[/tex]
In case 1:
We have cos x
[tex]\text{Cos x has value 0 at x}=\frac{\pi}{2}radians[/tex]
Therefore the function is defined hence, option 1 is discarded.
In case 2:
We have cot x and
[tex]cot x=\frac{cos x}{sin x}[/tex]
Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]
And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]
Hence,[tex]cot x=\frac{0}{1}=0[/tex]
Hence, defined and Option 2 is discarded.
In case 3:
We have csc x and
[tex]csc x=\frac{1}{sin x}[/tex]
Since, [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]
Hence,[tex]csc x=\frac{1}{1}=1[/tex]
Hence, defined and Option 3 is discarded.
In case 4:
We have tan x and
[tex]tan x=\frac{sin x}{cos x}[/tex]
Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]
And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]
Hence,[tex]tan x=\frac{1}{0}=\infty[/tex]
Hence, undefined and Option 4 is correct.
what is sine times secant
A parachutist descends 64 feet in 4 seconds. Express the rate of the parachutist's change in height as a unit rate.
The unit rate of the parachutist's change in height is __ feet per second.
To find the unit rate of the parachutist's change in height, we divide the total distance descended (64 feet) by the total time (4 seconds). This yields a unit rate of 16 feet per second.
Explanation:In order to calculate the unit rate of this parachutist's descent, we need to set up a fraction with the total distance descended over the overall time. In this case, the parachutist descends 64 feet in 4 seconds.
We then solve for the unit rate by dividing the distance descended (64 feet) by the time it took to descend (4 seconds). So, the calculation would be 64 ÷ 4 = 16.
So, the unit rate of the parachutist's change in height is 16 feet per second.
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What is the answer to 10 divided by 13
The answer we get on dividing the number "10" by the number "13" is 0.7692.
Division is a mathematical operation that divides one quantity or number by another to determine the number of times the second quantity is contained within the first.
The division of 10 by 13 results in a decimal value. When we perform the division operation, 10 divided by 13, we obtain a quotient of approximately 0.7692. This means that 10 can be divided into 13 approximately 0.7692 times.
In simpler terms, if we distribute 10 items into 13 equal groups, each group will contain approximately 0.7692 items.
Therefore, the value of 10 divided by 13 is approximately 0.7692 as a decimal.
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What is 5xy cubed? To better rephrase it, what is 5xy to the power of 3?
What is the center of a circle given by the equation (x-3)2+(y-9)2=16