Answer:
24 students
Step-by-step explanation:
- I would suggest making a list of all numbers between 20-30.
21 (divisible by only 3) = wrong
22 (divisible by only 2) = wrong
23 (not divisible) = wrong
24 (divisible by 2, 3, 4, 6, and 8) = correct
25 (not divisible) = wrong
26 (divisible by only 2) = wrong
27 (divisible by only 3) = wrong
28 (divisible by only 2 and 4) = wrong
29 (not divisible) = wrong
- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.
- Hope this helps! If you would like a further explanation please let me know.
The number of students in the classroom is 24, as it is the smallest multiple of 2, 3, 4, 6, and 8 that is between more than 20 and fewer than 30.
The student is given a number puzzle in a mathematics classroom setting. Based on the teacher's hints, the number of students in the classroom should be a common multiple of 2, 3, 4, 6, and 8 that also fits within the given range of between more than 20 and fewer than 30. We need to find the least common multiple (LCM) of these numbers that fits the criteria.
First, realize that since the number must be divisible by 8, it must be at least 24 since 16 is too low.
Next, confirm if 24 is also divisible by 2, 3, 4, and 6. It is indeed, as 24=2x12, 24=3x8, 24=4x6, and 24=6x4.
Because 24 is the only number between 20 and 30 that is divisible by all the given numbers, it is the answer.
Thus, the number of students in the classroom is 24.
Can someone plz help me quickly!! First to answer will be marked brainliest!
Answer:
128 cookies in 8 hours
Step-by-step explanation:
Answer:
103
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime?
coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3
segment AC over segment A double prime C double prime = 2
segment A double prime C double prime over segment AC = one half
segment AC = segment A double prime C double prime over 2
segment A double prime C double prime = segment AC over 2
Answer:
C.Segment AC=Segment A''C'' over 2
Step-by-step explanation:
We are given that
Dilation scale factor=2
A=(-3,3)
B=(1,-3)
C=(-3,-3)
We know that in dilation the size of figure change
Ratio of length of new segment to the length of segment of original figure=Scale factor
[tex]\frac{A''C''}{AC}=2[/tex]
[tex]AC=\frac{A''C"}{2}[/tex]
Option C is true.
C.Segment AC=Segment A''C'' over 2
The correct equation that explains the relationship between segment AC and segment A''C'' is: "segment A''C'' = segment AC over 2."
This equation reflects the effect of both the translation and dilation on the coordinates of the points A, C, A'', and C''.
The translation (x + 0, y + 2) shifts the original triangle ABC two units up along the y-axis.
The dilation by a scale factor of 2 from the origin doubles the distance between the points while keeping the same direction.
So, the length of segment A''C'' is half of the length of segment AC.
To elaborate, when you perform a translation, all points of the original triangle move in the same way by the same vector (in this case, 0 units horizontally and 2 units vertically).
After the translation, you apply the dilation from the origin, which scales the distances from the origin by a factor of 2.
So, the length of A''C'' is half of AC because the dilation reduces the distance by a factor of 2.
Hence, the equation "segment A''C'' = segment AC over 2" accurately represents this relationship.
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Can you please help me understand how to solve a trig ratio like this?
Answer:
cos47° = [tex]\frac{x}{7}[/tex]
Step-by-step explanation:
cos47° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex]
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 15,500,000,000 kilowatt hours of energy, what is the earthquake's magnitude?
Answer:
7.9982
Step-by-step explanation:
-The function for an earthquake's magnitude is given by R = 0.67log(0.37E) + 1.46
-E is energy in kwh.
#For 15,500,000,000 kilowatt hours the magnitude would be:
[tex]R = 0.67\ log(0.37E) + 1.46,\ \ E=15,500,000,000 \ kwh\\\\\therefore R=0.67 \ log(0.37\times 15,500,000,000)+1.46\\\\\\=7.9982[/tex]
Hence, the earthquakes magnitude is 7.9982
Final answer:
Calculate the earthquake's magnitude using the given energy value on the Richter scale.The earthquake's magnitude is approximately 7.99 on the Richter scale.
Explanation:
Richter Scale Magnitude Calculation:
Given R = 0.67log(0.37E) + 1.46, with E = 15,500,000,000 kWh, substitute E into the formula and solve for R:
R = 0.67log(0.37 * 15,500,000,000) + 1.46
R = 0.67log(5,735,000,000) + 1.46
R = 0.67 * 9.7581 + 1.46
R = 6.53 + 1.46
R = 7.99
The earthquake's magnitude is approximately 7.99 on the Richter scale.
QUESTION 3
Construct a function for the relationship.
Answer:
f(x)=3x-4
Step-by-step explanation:
Add.
2 33/40 + 4 3/8
Enter your answer in the box as a mixed number in simplest form.
The answer is 7 1/5
Hope this will help u.❤️
Please help!!! Thanks so much!
Answer:
1. a. -4
b.-3.5
c. 6.5
d. -2
please help me 20 points!
Answer:
37.7 is the volume
Step-by-step explanation:
You just need to solve with the formula
(I hope it helps!)
The data shows the ages of people in a restaurant.
20, 25, 5, 28, 66, 62, 21, 28, 34, 38, 40, 10, 12, 15, 45, 50, 28
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answer:
Hi! I added a picture.
Tell me if you need help!
Hope this help, have a great day, and Stay Safe!
Answer:
heres mine for a math unit test!
have a wonderful day!!
Rearrange the equation A= xy to solve for y.
find the 75th term of the arithmetic sequence -21, -10, 1 ...
Answer:
793
Step-by-step explanation:
a1=-21
d=-10-(-21)=11
an=a1+(n-1)d
a75=-21+(75-1)×11
=-21+74×11
=-21+814
=793
The 75th term of the given arithmetic sequence will be equal to 793.
What is an arithmetic sequence ?
Arithmetic sequences are groups of integers that are arranged in a particular way and share a common difference between each terms.
The sequence given is -21, -10, 1 , -- -- -- -- --
The first term of the sequence , a = -21.
We have to find out the 75th term of the given arithmetic sequence which meant , n = 75.
We know that the formula for nth term of arithmetic sequence is given by :
[tex]a_{n}[/tex] = a + ( n - 1) d
or
[tex]a_{75}[/tex] = -21 + ( 75 - 1) d
Here : the common difference 'd' will be :
d = -10 + 21
d = 11
So , the value of 75th term of arithmetic sequence will be :
[tex]a_{75}[/tex] = -21 + ( 75 - 1) × 11
[tex]a_{75}[/tex] = -21 + (74 × 11)
[tex]a_{75}[/tex] = -21 + 814
[tex]a_{75}[/tex] = 793
Therefore , the 75th term of the given arithmetic sequence will be equal to 793.
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can you help me i really need it
Answer:
8
Step-by-step explanation:
1) Add -11 plus 19 which should give you 8.
2) Check your answer by subtracting 8 - 19 = -11
Heya there!
Let us learn that we want that variable to be by itself.
To get the variable (b) by itself we need to do some work.
Solving for B:
As we need to get B by itself, we beed to remove the "-19".
To do that, we have to +19 since the -19 is a negative.
This allows us to have B by itself.
b - 19 = -11
+19 +19 to both sides ; whatever action we do to one side we do to the other.
Now, the equation should look like b = 8
We got b = 8 from the adding +19 to both sides. -11 + 19 = 8
Therefore, we are left with b = 8.
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Which angles are corresponding angles with angle 8?
Angle4 and Angle12
Angle2 and Angle10
Angle6 and Angle14
Angle3 and Angle9
(b) Angle 2 and Angle 10 are corresponding angles with angle 8.
1. Definition of Corresponding Angles:
The pairs of angles created when a transversal crosses two parallel lines are known as corresponding angles. At every junction, these angles are at the same relative position.
2.. Identify Corresponding Angles with Angle 8:
If angle 8 is given, its corresponding angle will be in the same position but on the other side of the transversal and parallel lines.
3. Analyze the Options:
To find the angles corresponding with angle 8, you must identify which pair matches the same position as angle 8 on the other parallel line.
Option (b) Angle 2 and Angle 10 are corresponding angles with angle 8. This is because angle 2 and angle 10 are in the same relative position to the transversal and parallel lines as angle 8, thus they are corresponding angles.
Complete question:
Which angles are corresponding angles with angle 8?
a) Angle 4 and Angle 12
b) Angle 2 and Angle 10
c) Angle 6 and Angle 14
d) Angle 3 and Angle 9
Can someone help me with the first answer please??15 points**
Answer:
The answer would be 21 because 70% of 30 is equal to 21.
Vote me brainliest :) please!
Fast please I need right now
Answer:
the answer is C
Step-by-step explanation:
Maritza rolls two number cubes that are numbered 1 through 6. What is the probability that the total on both cubes will be a prime number?
Answer: 50% Chance
Answer: 1/2
Step-by-step explanation: 2,3, and 5 are the prime numbers 1-6. That means 3/6 of those numbers are prime. 3/6 simplifies to 1/2 or 50%
Answer:
5/12 or 41.66666% or 42%
Step-by-step explanation:
There are two number cubes both listed as 1-6. In order to find the probability of the total on both cubes being a prime number, you'd have to first come up with the prime numbers possible by addition. You should get 2, 3, 5, 7, and 11.
After finding the numbers possible, you have to find each of the different number combinations that you could use to get there. You should get 15 different possibilities.
2:
1, 1
3:
1, 2
2, 1
5:
1, 4
4, 1
2, 3
3, 2
7:
1, 6
6, 1
2, 5
5, 2
3, 4
4, 3
11:
5, 6
6, 5
Now, you have to find the total possibilities. You should get 36.
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
2, 1
2, 2
2, 3
2, 4
2, 5
2, 6
3, 1
3, 2
3, 3
3, 4
3, 5
3, 6
4, 1
4, 2
4, 3
4, 4
4, 5
4, 6
5, 1
5, 2
5, 3
5, 4
5, 5
5, 6
6, 1
6, 2
6, 3
6, 4
6, 5
6, 6
Now all you have to do is divide the two numbers (15 and 36), and you should get 5/12 as an exact answer, or 41.66666 (repeating) %, which you can round up to 42%.
Chelsea shows her work in finding the solution to 40x– 5 = 2+ 3(x– 3). After
checking her answer in the original equation, she found that it did not work. Where did she make a mistake?
a. step 1: she distributed incorrectly
b. step 2: She subtracted 3x incorrectly
c. Step 3: she’s simplified incorrectly
d. step four: she subtracted 5 instead of adding 5
Answer:
The mistake that Chelsea made was that she instead of adding 5 to both sides at step 4, she subtracted them. If she added the 5 instead of subtracting it, the answer she should've gotten was -2.Answer:
Step 4: She subtracted 5 instead of adding 5.
Stuck on this question. Help appreciated!!
Answer:
the missing is 4.98
Step-by-step explanation:
ANSWER FAST I NEED HELP
Use the bar graph to find the experimental probability of the event.
The experimental probability of spinning a number greater than 3 is _____
Add total rolls:
The number of rolls is the height of each bar:
14 + 12 + 16 + 15 + 13 = 70
70 total rolls
The numbers greater than 3 are 4 and 5
4 was rolled 15 times and 5 was rolled 13 times
15 + 14 =28 Total times
The prInability of that happening would be 28/70 which reduces to 2/5
The answer as a fraction is 2/5 which is 40% as a percentage.
Answer:
The answer as a fraction is 2/5 which is 40% as a percentage.
Step-by-step explanation:
Ben sold tires for $35.55 each. How much, x, did he make after selling t, tires?
Answer:
x=35.55t
Step-by-step explanation:
Pls mark Brainliest.
Answer:
Since t is the number of tyres, we multiply it by the unit rate, i.e. the cost per tyre; since x is the total amount of money he makes from selling tyres the equation will look like:
x = 35.55t
A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base?
Answer:
45 ft
Step-by-step explanation:
90 divided by 2
What is the difference between a rectangular prism and a triangular prism?
1.The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
2.A rectangular prism has two bases, while a triangular prism has one base.
3.A triangular prism has two bases, while a rectangular prism has one base.
4.A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Answer:
A The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
The difference between a rectangular prism and a triangular prism is The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles, the correct option is 1.
What is a triangular prism?Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.
Usually, when we talk about triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.
We are given that;
A rectangular prism and a triangular prism
Now,
A prism is a three-dimensional shape that has two congruent and parallel bases and rectangular faces that connect the bases. The shape of the base determines the name of the prism. For example, a rectangular prism has rectangular bases and a triangular prism has triangular bases.
The other options are incorrect because:
Option 2 is false. Both prisms have two bases.
Option 3 is false. Both prisms have two bases.
Option 4 is false. A rectangular prism has six faces (two bases and four lateral faces) and a triangular prism has five faces (two bases and three lateral faces).
Therefore, the answer will be the two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
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The stem-and-leaf plot below shows the number of pages each student in the class read the previous evening.
00058
235889
246777
356
246
ON
According to the plot, 75% of students read less than
13 pages.
33 pages.
35 pages.
46 pages.
Answer: 35 days, on engenuity
Step-by-step explanation:
The solution is, 75% of students read less than 35 pages.
What is stem-and-leaf plot?A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution.
here, we have,
Stem and leaf plots are a way of organizing data; the stem shows the first digit and then the leaves show the second digit.
We have that the number of observations (which is equal to the number of leaves) is 23.
23*75%=17.75.
Let us see what the 18th student studied for; 35 hours is the result.
Since the data in a stem leaf plot is in ascending order, we just need to notice the 18th leaf, reading from left to right.
33 pages would be wrong since only 17/23=74% of students read less than that.
Hence, 75% of students read less than 35 pages.
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Help!!
How many solutions does this system have?
y = 3/4x - 5
3x+ 4 y= -20
one
two
an infinite number
no solution
Answer:
one solution
Step-by-step explanation:
y = 3/4x - 5
3x+ 4 y= -20
Substitute the first equation into the second equation
3x+ 4 (3/4x -5)= -20
Distribute
3x +3x - 20 = -20
6x -20 = -20
Add 20 to each side
6x -20+20 = -20+20
6x = 0
x=0
We need to find y
y = 3/4x -5
y =0-5
y = -5
There is one solution
Answer:
A) one
Step-by-step explanation:
y = 3/4x - 5
3x+ 4 y= -20
3x + 4(3x/4 - 5) = -20
3x + 3x - 20 = -20
6x = 0
x = 0
y = -5
One solution: (0,-5)
The following table shows the number of innings pitched by each of the Greenbury Goblin's starting pitchers during the Rockbottom Tournament.Pitcher Calvin Brody Thom Shawn Kris Number of innings pitched 111111 555 121212 777 333Find the median number of innings pitched.
Answer:
the correct answer is 7
Step-by-step explanation:
The median number of innings pitched by the Greenbury Goblin's starting pitchers during the Rockbottom Tournament is 7 innings.
Explanation:To find the median number of innings pitched by the Greenbury Goblin's starting pitchers during the Rockbottom Tournament, we first need to list the numbers in numerical order. The provided numbers of innings are: 5, 7, 7, 12, and 12. To find the median, you need the number that falls in the middle. Seeing that there are 5 numbers, the third number is the median. Therefore, the median number of innings pitched is 7.
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Ticked for a cinema cost £a for adults and £c for children. 2 adults and 3 children cost £42.70. 3 adults and 5 children cost £67.30.
A)use the information to write two simultaneous equations in a and c.
B) How much does it cost for 1 adult and 1 child to go to the cinema?
Answer:
I would treat it as algebra and for 2 simultaneous equations. dunno if that'll work because i haven't got pen or paper with me right now. So let adults be A and children be B
Step-by-step explanation:
Answer:
Create 2 Algebraic simultaneous equations.
Step-by-step explanation:
You can make it into a simultaneous equation
To start you off, here are the two equations: 2a+3c=42.70, 3a+5c=67.30
All you need to do is solve for a and c to get the prices for one child and one adult then you add them together to get the final amount
which quadrant contains the point named by (2,-5)?
(1)Quadrant lV
(2)Quadrant lll
(3)Quadrant l
(4)Quadrant ll
Answer:
Quadrant IV
Step-by-step explanation:
(+,+)= Quadrant I
(-,+)= Quadrant II
(-,-)= Quadrant III
(+,-)= Quadrant IV
What was the total cost?
Answer:
The total cost = $13.2
Step-by-step explanation:
Cost of per kg spherical beads =$ 3
Cost of 4.4 kg spherical beads =$ 3× 4.4= $13.2
Answer:13.2$
Step-by-step explanation:
Solve the equation logo(13 - x) = 1.
x =
Answer:
x=12
Step-by-step explanation:
What is the approximate volume of the cone?
Question options:
314 cm^3
942cm^3
1,256 cm^3
3,768 cm^3
Answer:
314cm^3
Step-by-step explanation:
the first option is correct
V=πr^2*h/3
V=V=π5^2*12/3
V=314.16