Answers
Answer:
Try 27 and 37
37 for drama club
27 for yearbook club
Hello,
Students in a drama club + in a yearbook club : 64
Students in a drama club : 10 more students than the yearbook club
Let x be the number of students in a drama club and y the number of students in the yearbook club.
We have :
x = y + 10 ⇔ x = 27 + 10 = 37
x + y = 64 ⇔ y + 10 + y = 64 ⇔ 2y = 54 ⇔ y = 27
There are 37 students in the drama club and 27 students in the yearbook club.
:-)
Related Questions
consider the figure below
given
m || n
m∠2=3x+53
m∠7=7x-55
what is m∠8?
Answers
Answer:
m<8 = 46°
Step-by-step explanation:
m<2 = m7 (alternate exterior angles are congruent)
Substitute
3x + 53 = 7x - 55
Collect like terms
3x - 7x = -53 - 55
-4x = -108
Divide both sides by -4
-4x/-4 = -108/-4
x = 27
m<8 + m<7 = 180° (linear pair angles)
Substitute
m<8 + 7x - 55 = 180°
Plug in the value of x
m<8 + 7(27) - 55 = 180
m<8 + 189 - 55 = 180
m<8 + 134 = 180
Subtract 134 from each side
m<8 = 180 - 134
m<8 = 46°
What is the volume of the plastic rocket???
Answers
Answer:
151 in^3
Step-by-step explanation:
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
HELPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
29
Step-by-step explanation:
Hope this helps
Have a great day
39.98× 0.5 is approximately equal to
Answers
Answer:
20
Step-by-step explanation:
it equals 19.99 but if you round it equals to 20
Which of the following is an equation of the line that passes through the point (-2,3) and is perpendicular to the graph of the equation y = 3x - 2?
Answers
Answer:
y = -1/3x + 7/3
Step-by-step explanation:
A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.
Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.
3 = -1/3 (-2) + b
9/3 = 2/3 + b
7/3 = b
Now we can create a line in slope intercept form: y = -1/3x + 7/3
Here is Standard Form if needed: x + 3y = 7
first step for solving this quadratic equation?
x2+2x-11=4
Answers
Answer:
subtract 4 from both sides
Step-by-step explanation:
Given
x² + 2x - 11 = 4
First step : subtract 4 from both sides
x² + 2x - 15 = 0 ← in standard form
Second step : factorise the quadratic
(x + 5)(x - 3) = 0 ← in factored form
Third step : equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
Fourth step : state the solutions
solutions are x = - 5, x = 3
Write the equation of the line MN, which is formed by the points M(-3,5) and N(2,0)
Answers
( 4 x 5 )^2- 6 + 3 =
Answers
Answer:
397
Step-by-step explanation:
Have a nice day
40-6+3
40-9
31
During which interval is the graph of the
function below only increasing?
HELLPPPPP!!!!!
Answers
Answer:
-2 < x < ఔ
Step-by-step explanation:
F’x = 3x^2 + 18x + 24
F’x = 3(x^2 +6x +8)
F’x = 3(x+4)(x+2)
One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive
Insta: lankey.t
geometry geometry geometry geometry geometry geometry help me pleasee
Answers
Answer:
Step-by-step explanation:
take 74 degree as reference angle
using cos rule
cos 74 =adjacent/hypotenuse
0.275=x/12
12*0.275=x
3.3=x
take 36 degree as reference angle
using sin rule
sin 36=opposite/hypotenuse
0.587=x/11
0.587*11=x
6.457=x
6.5=x
take 39 degree as reference angle
using tan rule
tan 39=opposite/adjacent
0.809=13/x
x=13/0.809
x=16.06
x=16.1
take 16 degree as reference angle
using tan rule
tan 16=opposite /adjacent
0.286=x/14
0.286*14=x
4.00=x
4.0=x
x=
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Whatever 2 terms you have in your equation are the ones you will use to determine Sin/Cos/Tan. For example, in question 21, the “X” was adjacent to your given angle (74°). The hypotenuse was 12, so you would use Cos since your two terms are Adjacent / Hypotenuse.
Also remember, the hypotenuse is the side opposite of the 90° angle.
The opposite side is the side opposite of the angle given (Not 90°).
The adjacent side is the side adjacent to the angle given (Also not 90°).
-. If the expression (x-7) was placed in ax? +bx+c form, which of the following would be
the value of b?
(1) -7
(3) -14
(2) 7
(4) -49
PLEASE HELP
Answers
Answer:
1 :)
Step-by-step explanation:
Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 5 seconds. In 60 seconds, how many times will they blink at the same time?
Answers
3
Hope this helps! :)
______________
I need help with this I don’t understand.
Answers
Answer:
the added degree of m1 and m2 equal m4
find the measure of angle 3
Answers
Answer:
angle 3 is 87 degree
Step-by-step explanation:
-7x+191=-5x+163(they are alternte interior angle)
-7x+5x=163-191
-2x=-28
x=-28/-2
x=14
substitute the value of x in -5x+163
-5*14+163
-70+163
93
Now,
angle 3 + (-5x+163) = 180 degree (they are cointerior angles)
angle 3 + 93 = 180
angle 3 = 180-93
angle 3 = 87 degree
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
Answers
HURRY HELP.. whats the indicated measure
Answers
Answer:
< ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)
< ABE = 1/2 ( 38+ 180)
< ABE = 1/2( 218)
< ABE = 109
Which are vertical angles?
Answers
Answer:
The verticle angles are AB and ED
Step-by-step explanation:
Find the distance between the two points, and explain if you want to.
Answers
Step-by-step explanation:
the answer is in the above image
Mary Lou is twice George’s age and Kate is one year younger than George. The sum total of their ages is 27. How old is each person?
Answers
Answer:
Mary Lou is 14
George is 7
Kate is 6
Step-by-step explanation:
let G = George's age
let 2G = Mary Lou's age
let G-1 = Kate's age
G + 2G + G-1 = 27
4G = 28
G = 7
2G = 14
G-1 = 6
Ken buys two bunches of bananas. One bunch weighs 2 pounds 10 ounces. The other bunch weighs 1 pound 8 ounces. What is the total weight of Ken's bananas?
Answers
Answer:
4 pounds 2 oz
Step-by-step explanation:
16 oz = 1 pound so you add 10 and 8 to get 18-16 to get 4 pounds 2 oz
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answers
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
4(1+ 2y) = 12y. Solve for y.
Answers
Answer:
y=1
Step-by-step explanation:
4(1+2y)=12y
4*1 + 4*2y=12y
4 + 8y=12y
4=12y - 8y
4=4y
4/4=y
1=y
3. What is the area of the triangle with vertices L(-3,5), M(4,7), and
N(2,-8)?
Answers
Area for triangle is
A=1/2(bh)
Jamie deposits 400 into a savings account. The account has an interest rate of 5%, compounded quarterly. Right to function that gives you The amount of money in dollars, J(t) in t years after the initial deposit
Answers
Given:
Initial value = 400
Interest rate = 5% compounded quarterly.
To find:
The function that gives you the amount of money in dollars, J(t) in t years after the initial deposit.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of times interest compounded in an year and t is the number of years.
The interest rate is 5% compounded quarterly. So, r=0.05 and n=4.
Substituting [tex]P=400,\ r=0.05,\ n=4[/tex] in the above formula, we get
[tex]A=400\left(1+\dfrac{0.05}{4}\right)^{4t}[/tex]
[tex]A=400\left(1+0.0125\right)^{4t}[/tex]
[tex]A=400\left(1.0125\right)^{4t}[/tex]
The required function notation is:
[tex]J(t)=400\left(1.0125\right)^{4t}[/tex]
Therefore, the amount of money in dollars, J(t) in t years after the initial deposit is [tex]J(t)=400\left(1.0125\right)^{4t}[/tex].
Hey, Could you help me? Thank you
Answers
SOMEONE PLSSSS HELP!!!!!!!
Answers
Answer:
you can use desmos
Step-by-step explanation:
for example put x=88
and do the same with the rest
then put x+y+z and you will get your answer
Which of the following functions is graphed below
Answers
Answer:
wachiwachiwachiwawawa
Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer to three decimal places.
x y
8.2 1
1.6 98
9.0 3
7.3 13
3.6 77
1.9 79
1.4 86
The correlation coefficient is about
_______
Question 2
This means that there is __________
between the variables.
need urgent help!!!
Answers
Answer:
the correlation coefficient is about 7.544. This means that there is a strong positive correlation btw the variables.
Step-by-step explanation:
I had this question on my last assignment and this was the correct answer. Hope this helps:)
I feel like i’m wrong lol, Correct me please.
Answers
A resort hotel has 260 guests. On one day, 6 groups of 13 guests leave to shop and 2 groups of 6 guests go sightseeing. Evaluate 260−(6×13)−(2×6) to find the number of guests that are left at the hotel.
Answers
Answer:
170
Step-by-step explanation:
