Answer:
3/4x-6=42
x=64
Step-by-step explanation:
Let the number of students be x hence 3/4 of this number will be 3/4x
Since the number was 42 if they were 3/4x less six, it means minus six hence
3/4x-6=42
Therefore, the equation will be
3/4x-6=42
Solving the equation
3/4 x=42+6=48
3/4x=48
X=62
What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(2,-1)
Step-by-step explanation:
Multiply everything by 1/3:
6*1/3=2
-3*1/3=-1
This makes it smaller, so you know what the dilation is.
Answer:
first person is correct
Step-by-step explanation:
4n+ 0.24 = 15.76
contains decimals
step by step please
Answer:
3.88
1. Subtract both sides by 0.24:4n + 0.24 = 15.76
- 0.24 - 0.24
______________
4n = 15.52
2. Divide by 4 on both sides to isolate 'n':4n = 15.52
__ ____
4 4
n = 3.88
The volume of a cube is found by using the formula Alta third power where else side length if the side length is 4X to the third power what is the volume of the cube
Answer:
Volume of the cube is [tex]64x^9[/tex].
Step-by-step explanation:
Given:
Volume of the cube [tex]V = L^3[/tex]
where [tex]L[/tex] ⇒ side length
side length [tex]L =4x^3[/tex]
We need to find the Volume of the cube.
Solution:
Now we know that;
Volume of the cube [tex]V = L^3[/tex]
But side length [tex]L =4x^3[/tex]
So we will substitute the value of L in above equation we get;
Volume of the cube [tex]V = L^3=(4x^3)^3[/tex]
Now by using Law of indices which states [tex](a^m)^n=a^{mn}[/tex]
So we can say that;
Volume of the cube [tex]V = L^3=(4x^3)^3=4^3x^{3\times3}=64x^9[/tex]
Hence Volume of the cube is [tex]64x^9[/tex].
How many unit cubes are in one layer??
The number of unit cubes in one layer may vary depending on the type of cubic lattice structure. In a simple cubic lattice, there is one atom per unit cell. However, without specific dimensions or the exact structure type, the exact number of cubes per layer cannot be determined.
Explanation:When we talk about the number of unit cubes in one layer, we must understand the geometry of the structure we are discussing. In a simple cubic lattice, each layer is made up of unit cubes that sit next to each other on each side. If the structure is in fact a simple cubic unit cell, then according to Figure 10.49 which describes this as having an atom at each of its eight corners and being shared by eight unit cells, there would be a total of one atom per unit cell.
In the context of a body-centered cubic structure mentioned, which is depicted in Figure 10.51, atoms in a specific layer do not touch each other, making the calculation of unit cubes in a single layer less straightforward; the cubes in the layers above and below touch the atom at the center.
Without specific dimensions or the type of cubic structure (simple cubic, face-centered cubic, or body-centered cubic), the exact number of unit cubes per layer cannot be determined. If we consider a cube made up of smaller unit cubes with a known side length, such as the polystyrene cube measuring 10 cm per side as mentioned, the number of unit cubes per layer would simply be the area of the cube's face divided by the area of one unit cube face. For a 10 cm cube, if each unit cube is 1 cm3, then there would be 10 x 10 = 100 unit cubes per layer.
What single transformation was applied to triangle A to get Triangle B?
Answer: can u help me with an equation then I will help you?
Step-by-step explanation:
Answer:
Dilation
Step-by-step explanation:
Dialation-A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
What is the product? StartFraction 2 y Over y minus 3 EndFraction divided by StartFraction 4 y minus 12 Over 2 y + 6 EndFraction
Answer:
[tex]\dfrac{y^2+3y}{y^2-6y+9}[/tex]
Step-by-step explanation:
When we write this using appropriate math symbols, it is easier to see the solution. To evaluate this, we multiply by the inverse of the denominator fraction.
[tex]\dfrac{2y}{y - 3}\div \dfrac{ 4 y - 12}{2 y + 6}=\dfrac{2y}{y-3}\cdot\dfrac{2y+6}{4y-12}\\\\=\dfrac{4y(y+3)}{4(y-3)^2}}=\boxed{\dfrac{y^2+3y}{y^2-6y+9}}[/tex]
Answer:
d
Step-by-step explanation:
A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 10 degrees from perpendicular to the wall.
Answer:
43.17 ft/s
Step-by-step explanation:
Let the height of the wall is y.
distance of wall from light is 20 feet.
[tex]tan\theta =\frac{y}{20}[/tex]
y = 20 tanθ .... (1)
time period, T = 3 second
[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]
Differentiate equation (1) with respect to t.
[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]
[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]
dy/dt = 20 x 2.16
dy/dt = 43.17 ft/s
Ella has a box of chocolate candies. She gives 1/3 of the candies to her sister, 4 to her brother, and eats the remaining 12 candies. How many chocolate candies were in the box originally?
Answer:
24 candies originally
Step-by-step explanation:
Add the 4 to how many you had left, then think about that number, 16, and what goes into 16 evenly 2 times? 8 and originally she gave away 1/3 of the box and if you were to add another 8 to the box it would be 24 divided by 1/3, -,-4,= 12.
SOMEBODY PLEASE PLEASE PLEASE HELP ASAP ASAP ASAP I WILL MARK THE BRAINLIEST FOR WHOEVER ASNWERS RIGHT PEASE HURRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!! wow ok cuz this app is really making me mad nobody frickin answers when needed but then 500 days later they wanna answer honey by then imma be a grown women wit 5 kids a husband and dog f outta here man
Answer:
13
Step-by-step explanation:
√(12-0)^2+(5-10)^2√12^2+(-5)^2√144+25√16913In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Answer:
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Corrected question;
In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Step-by-step explanation:
Given;
Total number of students = 65
Number of students with either blue or brown eyes;
= 10+30 = 40
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Probability is the likelihood of an event happening. In this case, the probability of picking a student with blue or brown eyes is 19/13.
Probability is the likelihood of an event happening, calculated by dividing the number of favorable outcomes by the total number of outcomes.
In this case, the total number of students is 65. The probability of picking a student with brown eyes is 65/65 = 1, and the probability of picking a student with blue eyes is 30/65. To find the probability of picking a student with either blue or brown eyes, you add the probabilities, getting 1 + 30/65 = 95/65, which simplifies to 19/13.
Find the area of the parrallelogram
Answer:
I believe it is about 47.63 meters squared
Leave a comment if you'd like a step-by-step explanation
(PLEASE HELP) A red die is tossed and then a green die is tossed. What is the probability that the red die shows a number larger than three or the green die shows a number less than three? Make sure your answer is reduced.
Answer:
2/3
Step-by-step explanation:
Well, it supplied the formula, so let's start from there.
P(A or B) = P(A) + P(B) - P(A and B)
Let A = the probability that the red die shows a number larger than three
Let B = the probability that the green die shows a number less than three
I'm assuming they both have 6 numbers on them, like a regular die.
So there are 3 possibilities that are larger than 3 (4, 5, and 6) and 6 total possibilities, so A = 3/6.
There are 2 possibilities that are less than 3 (1 and 2) and 6 total possibilities, so B = 2/6.
Plug that into the formula.
P(A or B) = 3/6 + 2/6 - P(A and B)
Now we have to subtract the probability that both A and B happen, which is 3/6 * 2/6 = 6/36 = 1/6.
P(A or B) = 3/6 + 2/6 - 1/6
P(A or B) = 4/6 = 2/3
On Monday, Mr. Roberts drove 42 miles. On Tuesday, he drove 5 miles more than half the distance he drove on Monday. Which expression shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday? A.(42-5)*2 B. 42-(5*2) C. (42/2)-5 D.(42/2)+5
Answer:
D
Step-by-step explanation:
If it is half the distance, it would be divided by 2. plus 5 miles more would be added after the division.
Suppose you flip a coin and spin a spinner that is divided into 8 equal regions. Of the 8 equal regions, 3 are red, 4 are black and 1 green. What is the probability of "tails" on the coin, and the spinner landing on red?
(Hint: How many spaces are on the spinner total?)Immersive Reader
(5 Points)
Answer:
18.75%
Step-by-step explanation:
The probability of the coin is 1/2, because it only has two options (tail or head).
Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8
Now the final probability is the multiplication of the probability of both events:
(1/2) * (3/8) = 0.1875 s 18.75%
In other words, the probability of these two events happening, that the tail comes out and is red, i
I need help ASAP on this math question first one to answer get marked brainliest
Answer and Step-by-step explanation:
First, you want to graph the line of x = -1. This line is simply a vertical line running through (-1, 0).
The coordinates of each of the points are:
G(5, 9)
F(8, 9)
D(5, 6)
E(8, 6)
When we reflect point G over the line x = -1, we will get a point with the same y-coordinate, but with a different x-coordinate. Since 5 is 6 units away from -1, when you reflect G, the new x-coordinate will be -1 - 6 = -7. So, the new point for G is (-7, 9).
By similar reasoning for all the other points, we have:
F'(-10, 9)
D'(-7, 6)
E'(-10, 6)
Finally, just graph the points G'(-7, 9), F'(-10, 9), D'(-7, 6), and E'(-10, 6), and that's your new shape.
Hope this helps!
Answer:
D': (-7,6)
E': (-10,6)
F': (-10,9)
G': (-7,9)
Step-by-step explanation:
D: (5,6)
E: (8,6)
F: (8,9)
G: (5,9)
After reflection in x = -1
D': (-1-6,6)
E': (-1-9,6)
F': (-1-9,9)
G': (-1-6,9)
D': (-7,6)
E': (-10,6)
F': (-10,9)
G': (-7,9)
Average speed 5 km/h traveled at average speed of 60 km/h. What is the total distance from home to school is 35 kilometers and it took entire trip 1.5 hours
Answer:
He spent 5km walking and 30km on the bus
Step-by-step explanation:
This is the complete question;
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.
How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?
solution;
In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.
We proceed as follows;
Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.
Mathematically;
x + y = 35 ••••••••••(i)
Now we know that total distance is 60km at a time of 1.5hours.
Total time = total distance/total time
Time taken to walk = x/5
Time used on the bus = y/60
Adding both will give the total time of 1.5 hours
x/5 + y/60 = 1.5
12x + y = 90 •••••••••(ii)
let’s subtract i from ii
11x =55
x = 55/11 = 5km
Recall x + y = 35
y = 35-5
y = 30km
Suppose a city with population 800 comma 000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 17 years.
Answer: 1,833,615
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 800,000 (1+ 5/100)^17
A = 1,833,615
Feel free to ask for more if needed or if you did not understand something.
the measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $3.79. a.) It is asking us to give an expression that represents the Millie's total of buying one carton of strawberry ice cream and one carton of chocolate ice cream. First, we will need variables to represent each flavor of ice cream Millie is will buy: S: represents Strawberry ice cream C: represents chocolate ice cream Now, let make our expression... We know that EACH cost of a carton of ice cream is $3.79. Expression: 3.79 (S + C) <—- answer for A b.) Give another way to write 3.79 (S + C) Hint: Distributive property c.) You used distributive property on b to find the equivalent expression.
Answer:
$7.58
Step-by-step explanation:
Think about it, (S+C), each flavor costs $3.97 per carton, and there's 2 cartons. $3.79 x 2 = $7.58
HELP!!! I can't figure out what do do or how to solve the last part!!
Answer:
Use what you used for the first one and you should get the right answer.
Step-by-step explanation:
What is the slope of the line represented by the table below?
x y
-2 0
0 2
1 3
3 5
7 9
whats the slope
Answer:
The slope is 1 and the y-intercept is 2
What is the complete factorization of 12x^2+36x+27
Answer:
Those numbers are factored to
3(2x+3)2 <-------- the last 2 is squared
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 13 years.
Answer:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be [tex]A.[/tex]
Population ([tex]P[/tex]) = 300,000.
Rate per year ([tex]r[/tex]) = 3%.
Time ([tex]t[/tex]) = 13 years.
Now, we put formula to get the population of the city in 13 years:
[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]
Therefore, the population of this city in 13 years is 440,550.
In circle A shown, secant DE and tangent DG are drawn. It ir know that m BAC = 63 and mBE = 96.
Answer:
Givens
[tex]m \angle BAC=63\°[/tex]
[tex]m(BE)=96\°[/tex]
[tex]DE[/tex] is secant.
[tex]DG[/tex] is tangent.
(A)Remember that the arc subtended by a central angle is equal to it. That means
[tex]m(BC)=m\angle BAC = 63\°[/tex]
(B)Now, by sum of arcs, we know
[tex]m(EBC)=m(EB)+m(BC)=96\° +63\°=159\°[/tex]
(C)By definition, the total arc of a circle is 360°, so
[tex]m(EFC)=360\°-m(EBC)=360\° - 159\°=201\°[/tex]
(D)We know that the external angle formed by a secant and a tanget is one half of the difference between the intercepted arcs, so
[tex]\angle D=\frac{1}{2}(m(EFC)-m(BC))=\frac{1}{2} (201\° - 63\°)=\frac{1}{2} (138\°)=69\°[/tex]
So, the angle D is 69°.
Please help me!!! -50 + 2a if a = 2.5 write the meaning of each algebraic expression then evaluate it for the given value I have no idea what this means please help
Answer:
-45
Step-by-step explanation:
I think it means that you just solve it.
does anyone have the rest of the test? Surface Area and Volume Unit Test????
Answer:
B) 112 cm²; 336 cm²
Step-by-step explanation:
The lateral area would be without the bases. In this case, the bases are the top and the bottom
Lateral Area
(2)(2.54)(8) = 40.64
(2)(2.54)(14) = 71.12
Add together and get 111.76 cm²
Surface Area
LA + Bases
Bases
(2)(14)(8) = 224
Add with lateral area and get 335.76 cm²
Do most students walk, bike, or bus to school?
Most students to school.
If 100 students were surveyed, how many students
walk to school each day?
students
Answer:
Most students ride the bus since the pie chart section is biggest at the bus section.
23 people walking / 100 people is 23% and 23% of 100 is 23 people.
Step-by-step explanation:
Answer:
Do most students walk, bike, or bus to school?
Most students
✔ bus to school.
If 100 students were surveyed, how many students walk to school each day?
✔ 23 students
Step-by-step explanation: I just did it, it's 100% correct!
Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spend exercising in the morning than in the evening?
Answer:
[tex]\frac{1}{2}[/tex] of an hour
Step-by-step explanation:
Given:
Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening
To find:
Additional hours spent by Wayne exercising in the morning than in the evening.
Solution:
Time spent by Wayne in the morning = [tex]\frac{5}{6}[/tex] of an hour
Time spent by Wayne in the evening = [tex]\frac{1}{3}[/tex] of an hour = [tex]\frac{2}{6}[/tex] of an hour
So, Wayne spends [tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}[/tex] more in the morning than in the evening.
The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid?
V = 1
3
Bh
Answer:
110 yd cubed
Step-by-step explanation:
The volume of a triangular pyramid is denoted by: [tex]V=\frac{1}{3} Bh[/tex] , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:
[tex]V=\frac{1}{3} *22*15=110[/tex]
Thus, the volume is 110 yards cubed.
Hope this helps!
Answer:
330
Step-by-step explanation:
Because the formula for volume is Base time height (BH) so the base was 22 and the height was 15 so you just multiply them
In the circle below, F is the center, GI is a diameter, and m
Answer:uh look up a video?
Step-by-step explanation: