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
Can someone please help me with this? I'm so lost :(((
An octahedral die is thrown. The faces are numbered 1 to 8. What is the probability that the number is thrown is:
An even number:
A multiple of 3:
A multiple of 4:
No a multiple of 4:
Less than 4:
Answers
Answer:
An even number: 1/2, A multiple of 3: 1/4, A multiple of 4: 1/4, Not a multiple of 4: 3/4, Less then 4: 3/8
Step-by-step explanation:
Since there are eight faces all you have to do is take the number that answers the question and put it over eight.
The sports boosters club is having a bake sale to buy uniforms. They want to raise $250. They need to rent a booth for $20. How many dozen cookies will they need to sell if they charge $3 per dozen?
Which equation could be used to solve this problem?
A: 250 = 3 c - 20
B: 250 = 20 - 3 c
C: 250 = 3 - 20 c
D: 250 = 20 c - 3
Answers
Answer: A: 250 = 3c - 20
Step-by-step explanation:
A: 250 = 3c - 20
To reach their final stash of $250, they need to sell c cookies at $3 each, less the $20 for the booth.
80 POINTS!!! HELP ASAP!!!!
Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x − 3) + 4
A.
The graph of function f is shifted right 3 units and down 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted left 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and up 4 units.
Answers
Answer:
its c
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation: shifted right 3 units and up 4 units.
Solve the equation. Enter your answer in the box. V27
Answers
step by step explanation: when it has the little 3, it means what number would need to be divided by itself to equal the number
hope this helps
will mark brainlist if right no links
Four expressions are shown below
I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to
I and II, only
I and II, only
II and IV, only
II and IV, only
I, II, and IV
I, II, and IV
II, III, and IV
Answers
Answer:
1, 2, and 4
Step-by-step explanation:
distribution
Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.
Answers
Answer:
4 and 5
Step-by-step explanation:
Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answers
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
please answer this I’ll mark brainliest and follow
Answers
this is the correct answer
Cuanto es ³/4 de cerezas
Answers
Answer:
3/8
Step-by-step explanation:
For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3
Answers
Answer:
c
i think
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?
Answers
PLEASE HELP i will give brainliest no links
Answers
Answer:
y=5x
Step-by-step explanation:
y=ax
use any value of x and y from the table
I chose (2,10)
10=2a
10/2=a
a=5
What is the value of x?
Answers
Answer:
x = 9
Step-by-step explanation:
What are the zeros of f(x) = (x - 2)(x + 7)? Select all that apply.
x= 7
O x=2
0
x= -2
Ox--7
Answers
Solve each set of parentheses so they equal 0:
(X-2) = 0 add 2 to both sides : x = 2
(X + 7) = 0 subtract 7 from both sides: x = -7
The zeros are 2 and -7
Answer:
Value of x could be = 2 or -7
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.
Answers
Answer:
21.50 + 0.25r = 22.25
Step-by-step explanation:
Thats ur equationnn
I need an emergency help plssssss! :(
Answers
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]
[tex]\\ \sf\longmapsto X^0[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
Answers
Answer:
#carryonlearning
Step-by-step explanation:
#carryonlearning
Reasoning A store sells packages of comic books with a poster. A poster and 8 comics cost $14.75. A poster and 16 comics cost $22.75. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $5.50. Use pencil and paper. Explain which store has the better deal.
The linear function rule is y=
Answers
Jared has four pieces of rope that are each 12.75 feet long. How many feet of rope does he have in total?
51 feet
50.8 feet
16.75 feet
12.79 feet
Answer=51 Feet
Answers
Evaluate -1(-2)(-4)(-2)
Answers
Answer:
16
Step-by-step explanation:
Negative times negative = positive
-1(-2) = 2
2(-4) = -8
-8(-2) = 16
Please consider giving this answer brainliest if it helped you. Thanks!
Answer:
─16
Step-by-step explanation:
1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16
PLS HELP ASAP !!
i'll mark as brainliest if u answer:))
Answers
Answer:
A = 60
B:25
Step-by-step explanation:
A looks about 1/3 of a 180
B looks about 1/3 of A
I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points
Answers
Step-by-step explanation:
I'm assuming your solving for [tex]x[/tex]
Picture 2.
For this one since the two sides are equal
[tex]2x-12=12\\2x=24\\x=12[/tex]
Picture 4.
We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]
[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]
[tex]x=5[/tex]
Picture 6.
We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]
[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]
[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]
Picture 8.
[tex]EG=6[/tex]
Since half of [tex]EG[/tex] is [tex]3[/tex]
[tex]3\cdot2=6[/tex]
[tex]EG=6[/tex]
Brainliest, please :)
please full calculation
Answers
b = -3
c = 1
d = 3
solve the equation 5(3x-1)=4(3x-2)
Answers
Answer:
x=-1
Step-by-step explanation:
15x-5=12x-8 Simplify Parentheses
3x=-3 Isolate the variable
x=-1 Divide by 3 on both sides
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Our equation is
[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]
First, we distribute
Now we have
[tex]15x-5=12x-8[/tex]
Subtract [tex]12x[/tex] from both sides
[tex]3x-5=-8[/tex]
add [tex]5[/tex] to both sides
[tex]3x=-3\\[/tex]
Divide both sides by 3
[tex]x=-1[/tex]
Brainliest please
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answers
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
You need to cut a 16 foot long 2x4 into 3.5ft sections. How many ehole sections will you have
Answers
Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??
Answers
Answer:
65 miles per gallon.
Step-by-step explanation:
Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.
!!please answer quickly and correctly!!
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4300 pounds in boxes, how much does each type of box weigh?
Answers
Large=40 pounds
small=30 pounds
and this is the solution
13 9/10 divided by 3 1/2
Answers
Answer:
[tex]3 \frac{13}{44} [/tex]
Step-by-step explanation:
First let's write our equation
[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]
Now let's make them improper fractions
[tex] \frac{139}{10} \div \frac{7}{2} [/tex]
Now since we're dividing we with fractions we do the reciprocal and multiply
[tex] \frac{139}{10} \times \frac{2}{7} [/tex]
or
[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]
Subtract 6 1/3 - 2 1/5
Answers
Answer:
4 2/15
Step-by-step explanation:
Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.
