The equation that models the students is a linear equation
The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36
How to determine the equation?The given parameters are:
Students = 221
Van = 5
The rest students = 6 buses
Start by calculating the number of students remaining:
Remaining students = 221 - 5
Remaining students = 216
Represent the number of students in each bus with x.
So, we have:
6 buses * x = Remaining students
This gives
6x = 216
Divide both sides by 6
x = 36
Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36
Read more about linear equations at:
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Sydney read 50 pages in 40 minutes. She reads at a constant rate.
How many pages can Sydney read per minute
Answer:
divide the number of pages by the time
Step-by-step explanation:
=50/40
=5/4
= 1.25/per minute
Find the missing dimension of the cone.
Volume = 118π ft3
2/3 ft
h =_ft
The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
What is the Volume of a Cone?Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.
Given the following:
Volume = 1/18 π ft³Diameter = 2/3 ftRadius = (2/3)/2 = 1/3 ftHeight (h) = ?Plug in the values into the volume formula:
1/18π = 1/3π(1/3)²h
1/18π = 1/3π(1/9)h
1/18π = (πh)/27
Divide both sides by π
1/18 = h/27
Cross multiply
27 = 18h
27/18 = h
h = 1.5
Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
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dino help me :))) pls
Answer:
C.
Step-by-step explanation:
red: 3/8 sheet per toy
20 × 3/8 = 60/8 = 56/8 + 4/8 = 7 1/2
yellow: 5/8 sheet per toy
20 × 5/8 = 100/8 = 50/4 = 25/2 = 12 1/2
Since he needs 7 1/2 and 12 1/2, he needs to get 8 and 13 becasue 7 and 12 are not enough.
Answer: C.
Can someone help me with this
Answer:
56x
Step-by-step explanation:
Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x
for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.
Area of triangle = (bh) / 2
B = 13 - 9, so B = 4
A = 6x - 4x, so A = 2x
the area is 2x x 4, which is 8x.
8x / 2 = 4x
The area is 4x + 52x, so the final answer is 56x
!!!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!!! Find the slope of the line.
Answer:
3/1
Step-by-step explanation:
Make sure you know a few concepts first:
The point where the line crosses the y-axis (or vertical axis) is called the y-intercept.Slope is commonly taught using [tex]\frac{rise}{run}[/tex] as I will teach it here.First, find the y-intercept of the line. This line crosses the y-axis as (0,0), so that is the y -intercept.Find another point on the line, preferably where it crosses a whole-number coordinate (just for simplicity… you can use any point on the line). We will use the point (1,3). Counting in your head, count vertically from (0,0) until you are horizontal to the point (1,3) we chose earlier. Put the distance it took to reach that point on the top (numerator) of the fraction. Because it takes 3 counts to be horizontal, your fraction should look like [tex]\frac{3}{run}[/tex].Count horizontally until you reach the point (1,3). Put the number of units on the bottom (denominator) of the fraction. The number was 1 unit, so your finished fraction which is the slope is [tex]\frac{3}{1}[/tex].Alternatively
Use the formula for slope from two points… [tex]\frac{x_{1} -y_1}{x_2-x_1}[/tex]Find two points on the line. We will use (0,0) and (1,3). Designate one point as 1 and the other as 2. We will choose (0,0) to be 1 and (1,3) to be 2.Plug in the points following the “key” you created: Let x₁ be the x coordinate from ordered pair 1, let y₁ be the y coordinate point from ordered pair 1, etc. Following this pattern, you should be set up like this: [tex]\frac{3-0}{1-0}[/tex]Subtract to get [tex]\frac{3}{1}[/tex] as your slope.where can u buy a ruler that is 3 feet long
Answer:
A yard sale.
Step-by-step explanation:
lol
What is this question really about? Could you perhaps dive a little bit more into detail please? Ty
Solve the simultaneous equations 4 x + 3 y = 25 x + 5 y = 19
Answer:
x= 4
y=3
Step-by-step explanation:
its simple
4x+3y=25
x+5y=19
by elimination
-17y=-51
so y = 3
substitute y for 3
then x is 4.
I hope this will help you.
Tile the rectangle shown using square inches to find the area, and then use multiplication to confirm the area. Use paper to show your work.
Answer:
19 11/16
Step-by-step explanation:
5 1/4 x 3 3/4
Area = width x length
The balloon rises vertically so that the distance between the balloon and Student A is 90 feet. How
many feet did the balloon rise? Express your answer to the nearest foot.
Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:
[tex]60^2 + h^2 = 90^2[/tex]
[tex]h = \sqrt{90^2 - 60^2}[/tex]
[tex]h = 67.08[/tex]
The balloon rises 67.08 feet.
More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675
Which statement about the asymptotes is true with respect to the graph of this function f(x)= 3x^2-3/x^2-4
Answer:
D. The graph has two vertical asymptotes and one horizontal asymptote.
Step-by-step explanation:
Hello people ~
If the complement of an angle is 79°, then the angle will be of
(a) 1° (b) 11° (c) 79° (d) 101°
Hey there!
Complementary angles add up to 90 degrees.
We are given
An angle of 79 degrees
and we're asked to find the complement of the angle.
So let's set up an equation:
79+x=90
where x=the unknown angle
Subtract 79 from both sides:
79-79+x=90-79
x=11
Hence, the measure of the unknown angle is
[tex]\boxed{\boxed{\bold{11}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun
[tex]\rule{200}{2}[/tex]
(b) 11°
The sum of two angles is equal to 90 degrees.
Here, one angle is 79°
let the other angle be xsteps:
x + 79° = 90°x = 90° - 79°x = 11°What is the value of x? E Enter your answer in the box.
Step-by-step explanation:
Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.
If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.
Now looking at my other triangle RST
I know that RT=x, RS=2√3 and ST is unknown.
So i cannot apply my Pythagorean theorm.
HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,
Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=2√3).
RS=x√3/2
2RS=x√3
2×2√3=x√3
4√3=x√3
4√3/√3=x
x=4 :P
omly
Purple
Green
Blue
in
Number
6
9
5
of trials
Based on the data, how many times
would you expect Anya to pick a
purple marble if she ran 90 trials?
Carlos vende vasos con 250 ml de limonada cada uno. si preparó 9 litros de limonada, ¿cuántos vasos de limonada puede servir?
Theo is a cleaner,
The table shows information about the time it will take him to clean
each of four rooms in a house,
Theo wants to clean all four rooms
Room
Time
in one day
Kitchen 1 hour 50 minutes
He will have breaks for a total time
of 85 minutes,
Lounge 55 minutes
Theo is going to start cleaning at 9 am,
Bedroom 1 1/2 hours
What time will he finish cleaning?
Bathroom
35 minutes
Step-by-step explanation:
1 hour 50 minutes = 110 mins
1 1/2 hours = 90 mins
add all these:
110
90
85
55
35
when you add all these you get 375
every hour has 60 minutes
375 ÷ 60 = 6.15
if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.
Based on the number of minutes Theo will take to clean the various rooms, and the time he will take to rest, he will finish cleaning at 3:15 pm.
What time will Theo finish cleaning?The best thing to do here is to convert all the minutes to decimals. This would make adding them up easier.
Kitchen = 1 hour 50 minutes = 1 + 50/60 = 1.833 hours
Lounge = 55 minutes = 55/60 = 0.916 hours
Bedroom = 1.5 hours
Bathroom = 35 minutes = 35/60 = 0.583
Breaks = 85 / 60 = 1.417
Add them up:
= 1.833 + 0.916 + 1.5 + 0.583 + 1.417
= 6.249 hours
= 6 + (0.249 x 60 minutes)
= 6 hours 15 minutes
The time he will finish is:
= 6 hours 15 + 9
= 1515 hours
= 3:15 pm
Find out more on operations involving time at https://brainly.com/question/1040096.
Part A
The maximum angle of elevation for a ramp designed to be safe for a motorized wheelchair is 7.1°.
Is the ramp at the local library safe for motorized wheelchairs? Explain your answer.
Answer: Not safe
Step-by-step explanation:
Let the angle of elevation of the ramp be θ, then:
[tex]\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}[/tex]
But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.
Therefore, the ramp at the local library is not safe for motorized wheelchairs
A population of bacteria is increasing by 10% cach hour. Find the percentage increase in the population every 3 hours.
Find the length of the darkened arc. leave your answer in terms of
Answer:
a
Step-by-step explanation:
you can split nine into three
Answer:
The answer is A.
Step-by-step explanation:
You gotta split 9 into 3
3 3/5 + 1 1/6 answer as a fraction
Answer:
[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]Step-by-step explanation:
It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.
3 3/5+1 1/6First, you have to add the whole numbers.
3+1=4
After that, you can combine by a fraction.
6*3=18
18/5+ 1 1/6
1+6=7
7/6
Rewrite the problem down.
18/5+7/6
Solve.
5*6=30
143/30
=23/30
[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]
Therefore, the final answer is 4 23/30.I hope this helps you! Let me know if my answer is wrong or not.
200 dabloon bitcoins
Answer:
3b. [tex]\displaystyle 10; Mental\:Mathematics[/tex]
3a. [tex]\displaystyle \frac{5}{8} \times 16[/tex]
Explanation:
Dividing a mixed number\fraction is in similarity to multiplying its multiplicative inverce, which is what you see in the above answer. However, I did not figure it out this way. I did this:
[tex]\displaystyle \boxed{10} = \frac{5}{\frac{1}{2}} \Rightarrow \boxed{10} = \frac{5}{8} \div \frac{1}{16}[/tex]
Either way is fine, as long as you know what you are doing.
I am joyous to assist you at any time.
Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?
Answer:
It will be over at 5:17 pm
Step-by-step explanation:
2:45 +32 would be 3:17, we add 2 hours it would be 5:17
Answer:
5:17 pm
Step-by-step explanation:
Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long
Thus,
2:45 + 2 and 32 Minutes
2 + 2 = 4
45 + 32 = 77 minutes
1 Hour = 60 Minutes
Thus, 77 - 60 =17
Hence, 4 + 1 = 5
Thus, the movie will be over at 5:17 Pm
~Lenvy~
3. What is the area of the triangle below?
6.0 ft^2
8.6 ft^2
15.0 ft^2
17.2 ft^2
Answer:
6.0 ft^2
Step-by-step explanation:
hope this helps
Which choice shows (9 x 3) x 20 correctly rewritten using the associative property and then correctly simplified?
Answer:
I'm guessing it is 3x(9x20)=3x180=540
Step-by-step explanation:
Solve:
(m+2) (m+1) - (3m - 5) (9-5m)
Step-by-step explanation:
please mark me as brainlest
how do I multiply 6ab (xa+ya^6 +8)
Answer:
6xba^2 + 6yba^7 + 48ab
Step-by-step explanation:
To do this, you have to multiply 6ab by each of the inside terms,
So you can write it out like this
6ab (xa + ya^6 + 8)
6ab(xa) + 6ab(ya^6) + 6ab(8)
Then you can simplify:
6xba^2 + 6yba^7 + 48ab
(When you multiply the same variable by itself, you turn it into an exponent)
For example x * x = x^2
Or x^4 * x^3 = x^7
if i was asked to think of a number and multiply it by 2, I could write this algebraically as 2x Write the following using x as your unknown. "I think of a number, take away 1 and multiply the result by 3.
Step-by-step explanation:
(x - 1)×3
a random number minus 1, and the result is multiplied by 3.
bingo !
Answer:
3(x - 1).
Step-by-step explanation:
Taken away 1 is x - 1
Multiply this by 3 is 3(x - 1).
Find the volume of the cylinder. round to the nearest tenth.
Answer:
3217.00
Step-by-step explanation:
V=πr^2h=π·8^2·16≈3216.99088
Answer:
804.2 or 803.8
Step-by-step explanation:
volume = π · r2 · h
π · [tex]4^{2}[/tex] · 16 = 804.2
3.14 · [tex]4^{2}[/tex] · 16 = 803.8
261%57 PLEASE HELP (brainlyist) PLEASE HURRY
Answer:
4.57894737
Step-by-step explanation:
261 divided by 57 = 4.57894737
or 4.6 to 1 decimal place
If you need further explanation, let me know!
-profparis
Answer: 4.57894736842
50 POINTS CORRECT ANSWER ONLY!!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
!! Use an explicit formula to find the time she will complete the 10th station. Show your work. !!
Answer:
Step-by-step explanation:
Part A
The data is modeling a geometric sequence because they have a common ratio of 2.
Part B:
= 48
Step by Step Answer
f(n)=f(n-1)*r
f(n)=f(5-1)*2
f(n)=f(4)*2
f(n)=(24)2
f(n)= 48
Part C:
= 384
Step by Step Answer
f(n)=f(1)*r^n-1
f(n)=3*2^8-1
f(n)=3*2^7
f(n)=3*128
f(n)=384
Aurora will complete the 10th station in 1024 minutes (or 17 hours and 4 minutes).
What is a geometric sequence?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.
aₙ=a₁(r)ⁿ⁻¹
The given data represents a geometric sequence, where the common ratio between any two consecutive terms is 2.
We can find the common ratio by dividing any term by its preceding term.
Common ratio = 4/2 = 8/4 = 16/8 = 2
Let T₁ be the time taken to complete the first station (x = 1). Then the explicit formula for the nth term of the geometric sequence is:
Tₙ = T₁ r⁽ⁿ⁻¹⁾
where r is the common ratio.
We are given the first four terms:
T₁ = 2
T₂ = 4
T₃ = 8
T₄ = 16
We can use the formula to find the time taken to complete the 10th station (x = 10):
T₁₀ = T₁ r⁽¹⁰⁻¹⁾
T₁₀ = 2(2)⁹
T₁₀ = 2 x 512
T₁₀ = 1024
Therefore, T₁₀ = 1024.
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No links just the Answer please!!!
Answer:Its -3.5
Step-by-step explanation: