A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?
Answers
Answer: 15 students in her second class.
Step-by-step explanation:
Let A, B, and C stand for the number of students in each class. See the attached table.
The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.
The total students amount to 65, whcih is the sum of A, B, and C:
A + B + C = 65
Substitute the values of A and C into this equation:
A + B + C = 65
2B + B + (B+5) = 65
4B + 5 = 65
4B = 60
B = 16
Use B=16 and solve for the other two classes (dotted blue line).
Related Questions
I need help with this one to / surface area :)
Answers
Answer:
389.9 to 1 decimal place
If you need another explanation comment on this one
Step-by-step explanation:
the surface area (base area plus side wall) of a cone is, when we have the radius and the length of the slanted side wall :
SA = pi×r×(r + l)
in our case here
r = half of the diameter = 12/2 = 6 m
l = 13.4 m
so, we have
SA = pi×6×(6 + 13.4) = pi×6×19.4 = 365.6813849... m²
Is 3 a divisor of 51?
Explain why it is or why it’s not.
Answers
A shortcut to tell whether a whole number is divisible by 3 is to add its digits together and see if the result is divisible by 3.
Answer:
yes 51 divided by 3 equals 17 there is no remainder
The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area
Answers
Answer:
578 cm^2
Step-by-step explanation:
The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and [tex]2\pi \times 4[/tex] (the length of the circumference at the base). Adding them up we get:[tex]\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2[/tex]
please , answer this question:(
Answers
Answer:
50sStep-by-step explanation:
To find algebraic expression, you need to look at the paragraphCost of 1 gift card of music : $50Cost of each song : s dollarsWe have to multiply 50 by s dollars.Will give brainliest!
ABC and DEF are similar triangles. If the side lengths of ABC are 6, 8, and 12, and the
longest side of DEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36
Answers
Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Properties of Similar Triangles:
The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.Given that ΔABC and ΔDEF are similar triangles, therefore:
Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18Thus:
a/x = b/y = c/z
Substitute6/x = 8/y = 12/18
Find x using 6/x = 12/18:
6/x = 12/18
Cross multiplyx = [tex]\frac{18 \times 6}{12}[/tex]
x = 9
Find x using 8/y = 12/18:
8/y = 12/18
Cross multiplyx = [tex]\frac{18 \times 8}{12}[/tex]
x = 12
Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Learn more about similar triangles on:
https://brainly.com/question/11899908
Rationalize the denominator.
- 11x^3/
Root7x+1
Answers
Answer:
maybe 0
Step-by-step explanation:
answer asap!!
thank u :)
Answers
Answer:
I can't see the photo it's just a blank black screen.
Step-by-step explanation:
Five less than five times a number is less than six times the same number plus
2.
Answers
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in one single step, I'll start off with that.
We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.
[tex]5x-5<6x+2[/tex]
We can use algebra to simplify the equation so that we can solve for it.
[tex]-5<x+2\\-7<x\\x>-7[/tex]
We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.
[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]
We've proven that 2 is working.
[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]
We've also proven that -5 works.
We can now say that we've solved the problem, the solution of the problem would be x>-7.
Cheers!
Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (points P and Q are not at point A) in such a way that PC=PQ. Find m∠PQC.
Answers
Answer:
15°
brainlest
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
The sides forming the right angles and hypotenuse of a right angled triangle are x cm, (2x + 2) cm and (3x – 2) cm respectively. Calculate the perimeter of the triangle.
Answers
Answer:
6x
Step-by-step explanation:
Perimeter is the sum of all the sides:
(x) + (2x + 2) + (3x - 2)
Add like-terms:
6x + 2 - 2 = 6x
Perimeter = 6x
What does the rational form of the ratio a:b look like?
Answers
The rational form of a ratio is the ratio represented as a fraction (or quotient)
The rational form of the ratio a : b is a/b
The ratio is given as a : b (pronounced a ratio b)
This is properly represented as:
[tex]\mathbf{Ratio = a : b}[/tex]
To convert to rational form, means that we express the ratio as a fraction.
So, the ratio becomes
[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)
Hence, the rational form of the ratio a : b is a/b
Read more about rational forms at:
https://brainly.com/question/4087967
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answers
Answer:
(m-7) * 6
Step-by-step explanation:
you follow the statement from left to right. You see that there's a product so you write a product sign
*
then you know its the difference of m-7 on one side and 6 on the other getting
(m-7) * 6
Yolanda bought 12 pounds of rice for $5 . How many pounds of rice did she get per dollar?
Answers
Explanation:
We can set up the ratio
12 pounds : 5 dollars
Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"
12/5 = 2.45/5 = 1The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar
Please help!
.
.
.
.
.
Answers
Answer:
9
Step-by-step explanation:
To calculate the value of x we must first understand the total value of all angles in a triangle.
Sum of all angles in a triangle = 180 degrees
That said, we need to write an equation for the total number of degrees in the triangle and solve for x
This will be as follows:
(13x+2)+(5x-7)+(3x-4)=180
The we combine the like terms. This will be as follows:
(13x+5x+3x)+(2-7-4)=180
Simplify further to get
21x-9=180
Simplify further by collecting all like terms on one side of the equal. This will entail the addition of 9 on each side of the equal sign as follows:
21x-9+9=180+9
you will find 21x=189
Simplify further by dividing both sides of the equal sign by 21 to solve for x
21x/21=189/21
Therefore x=9
No links No Files Need help ASAP
Answers
Answer: 6
Step-by-step explanation: I think think the answer is 6 because if you cut 6 in half you get 3 and if cut 4 in half u get 2 the mutiply them...dont get mad if it wrong
Answer: A = 24 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (6)(4) A = 24 units^2
X^2+5*x^3+7
Solve pls lol
Answers
don't know sorry
Step-by-step explanation:
sorry very very school
Answer:
5x^3+x^2+7
Step-by-step explanation:
Would you rather receive $10,000 a day for 31 days or a penny that doubles in value every day for 31 days?
How much money would you have at the end of 31 days if you chose the $10,000 per day?
How much money would you have at the end of 31 days if you chose to double the penny every day?
How much would you have at the end of 15 days if you chose to double the penny every day?
Someone pls help me
Answers
This shows how much you would make per day for both choices.
Total earned in 31 days for $10,000 per day: $310,000
Explanation
$10,000 every day in 31 days.
Total earned in 31 days for penny: 21,474,836.47
Explanation
Day 1: $0.01
Day 2: $0.02
Day 3: $0.04
Day 4: $0.08
Day 5: $0.16
Day 6: $0.32
Day 7: $0.64
Day 8: $1.28
Day 9: $2.56
Day 10: $5.12
Day 11: $10.24
Day 12: $20.48
Day 13: $40.96
Day 14: $81.92
Day 15: $163.84
Day 16: $327.68
Day 17: $655.36
Day 18: $1,310.72
Day 19: $2,621.44
Day 20: $5,242.88
Day 21: $10,485.76
Day 22: $20,971.52
Day 23: $41,943.04
Day 24: $83,886.08
Day 25: $167,772.16
Day 26: $335,544.32
Day 27: $671,088.64
Day 28: $1,342,177.28
Day 29: $2,684,354.56
Day 30: $5,368,709.12
Day 31: $10,737,418.24
A Bus left Westwick at 0936 and arrived at Plimpton at 2105. How long did the journey take?
Answers
Answer: 11 hours and 29 min
Step-by-step explanation:
The sum of two consecutive odd numbers is 52.Using an algebraic equation
find the two odd numbers.
Answers
Answer: 25, 27
Step-by-step explanation:
52=x+x+2=50=2x=x=25
Help me please!!!!!!!!!
Answers
Answer:
X=5
Step By Step:
Cuanto le mide a messi la tula ?
Answers
Answer:
5’7”
Step-by-step explanation:
te refieres a lionel messi? el mide 5'7 ".
Perdon, mi español no es muy bueno :)
Evaluate. 8.1÷0.9+0.43÷0.8⋅30 Enter your answer as a decimal in the box.
Answers
Answer: The answer is 25.125
need help with pre-cal please
Answers
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)What is one solution to the systems of linear equations?
Answers
Answer:
(4, 4)(4, -4)Step-by-step explanation:
The solution is the point of intersection of the two lines on the graph.
Graph 1.The lines intersect at (4, 4). The solution is (x, y) = (4, 4).
__
Graph 2.The lines intersect at (4, -4). The solution is (x, y) = (4, -4).
Mei is making fruit punch.
She makes the fruit punch by mixing fruit juice and lemonade in the ratio 1 : 3.
The fruit juice costs £1.80 per litre.
The lemonade costs 75p per litre.
Work out the total cost of making 16 litres of fruit punch.
Answers
Answer:
16.2p (If lemonade is .75p, if not substitute in the equation below)
Step-by-step explanation:
In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.
I am assuming 75p is meant to be .75p
So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05
We need 16 so: 4.05 x 4 = 16.2
− 11/12 + p = 1/6
what does p =
Answers
Answer:
13/12
Step-by-step explanation:
p=1/6+11/12=(2+11)/12=13/12
Find the gradient of the line segment between the points (6,-4) and (10,-10). Give your answer in its simplest form.
Answers
Answer:
To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates).
so it is 0.2
2 iPhones cost $1,680, how much would 10 iPhones cost?
Answers
Answer:
$8,400
Step-by-step explanation:
one way to solve it would be that since you know 2 x 5 = 10 you can do $1,680 x 5 and that = $8,400
find out of the common factor.
30 and 60
Answers
Answer:
GCF of 30 and 60 is 30.
Step-by-step explanation:
please help will mark as brainlist
Answers
Answer:
176
Step-by-step explanation:
Answer:
[tex]m[/tex]∠STV = 43°
Step-by-step explanation:
It has the corresponding relation with ∠UTV