The key word is "identical." If all students received identical packages, then Dr. Stein could have handed out 30 packages. He has a maximum of 30 notebooks to hand out, so if each package has one notebook, he can hand out 30 packages. Each of those 30 packages will also have 2 pencils and 10 erasers.
ANSWER: There are 30 packages maximum so he can have a maximum of 30 students.
Hope this helps! :)
Please give me brainly
Thankyou!
Can someone help me?
Answer:
a=b+12=b=c+4= the relationship between the two of them is 12/3=4
Answer:
a=c+16
Step-by-step explanation:
b=c+4 and a=b+12
so
a=(c+4)+12
a=c+4+12
a=c+16
There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8
do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a
speaking part?
A: 2/5
B: 1/2
C: 3/5
D: 3/4
Taking into account the definition of probability, the correct option is option A.: The probability that the child has a speaking part is [tex]\frac{2}{5}[/tex].
There are 20 children in the cast of a class play, and 8 of the children are boys. Then, realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.
On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4 do not have a speaking part in the play.
Therefore, 4 + 4 = 8 of the children have a speaking part.
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
In this case:
number of favorable cases= 8 of the children have a speaking part.number of possible cases= 20 childrenReplacing in the definition of probability:
[tex]P(A)= \frac{8}{20}[/tex]
Simplifying the fraction:
[tex]P(A)= \frac{2}{5}[/tex]
Then, the correct option is option A.: The probability that the child has a speaking part is [tex]\frac{2}{5}[/tex].
What happens to the mean of the data set {2, 4, 7, 6, 3, 6, 7} if the number 25 is added? the mean a number here by a number here .
Answer:
The mean will increase by 2.5
Step-by-step explanation:
The mean is just another word for the average of the data set. You can find this by adding all of the values and dividing by the number of values there are. (i.e 2+4+7+6+3+6+7 divided by 7). The original mean is 5. If you add 25, the average will increase to 7.5
Answer:
increased 2.5
Step-by-step explanation:
Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function B is _
HELP ME PLZZZZZZZZZZ I NEED IT
Answer:
Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5
Step-by-step explanation:
The initial value of a function is the output value of the function when the input value is 0Initial value of A is y=4 at x=0,
and
initial value of B is y=0*6+5= 5 at x=0
Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5
Direct Variation: If y = 20, when x = 8, find y when x = 40.
A. 10
B. 80
C. 50
D. 100
Answer:
D
Step-by-step explanation:
X is increased by a factor of 5, so y should be multiplied by 5 as well. So y = 20*5=100
Which equation solves the real world problem below?
Homer and his family are on a road trip. If they have traveled 14 of the total distance in the past 3 days, what fraction of the total distance did they travel per day?
a) 3 ÷ 1/4=12 b) 3 × 1/4 = 3/4 c) 1/4 ÷ 3 = 1/12 d) 3 + 1/4 3 1/4
Answer:
d) 3 1/4
Step-by-step explanation:
The equation for the total distance traveled per day is 1/4 ÷ 3 = 1/12 of the total distance
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total distance traveled per day be represented as A
Now , the equation will be
The distance traveled for the last 3 days = 1/4 of the total distance
So ,
Total distance traveled per day = distance traveled for the last 3 days / 3
Substituting the values in the equation , we get
Total distance traveled per day A = ( 1/4 ) / 3
On simplifying the equation , we get
Total distance traveled per day A = 1/12 of the total distance
Hence , the equation is 1/4 ÷ 3 = 1/12
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
GHIJ is a parallelogram. find value of x and y. You need to show your work to earn full credit.
Answer:x=5 and y=8
Step-by-step explanation:
The value of the variable 'x' and 'y' will be 5 and 8, respectively.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals intersect in the center.
GHIJ is a parallelogram. Then the equation is given as,
HI = GJ
5x - 10 = 7x - 20
7x - 5x = 20 - 10
2x = 10
x = 5
Then the other equation is given as,
GH = IJ
3y = 5y - 16
5y - 3y = 16
2y = 16
y = 8
The value of the variable 'x' and 'y' will be 5 and 8, respectively.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
#SPJ2
will mark as brainliest
85% is the percentage
pls mark as brainliest
Answer::
Step-by-step explanation:
Garden table and bench cost $554 combined. The Garden table cost $96 less then the bench. What is the cost of the bench?
Answer:
$325
Step-by-step explanation:
Let x be the cost of the bench.
Therefore, x + (x-96)=554
2x-96=554
2x=650
x=325
Answer:
The bench cost $229 and the garden table costs 229 + 96 = $325
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table = x + 96
x + (x + 96) = 554
2x + 96 = 554
2x = 458
x = 229
Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction
Answer:
Tan 60 degrees = 1.732 degrees
Step-by-step explanation:
Using trigonometry value, The value of tan(60°) = 1.73205.
What is trigonometry?
Trigonometry is "branch of mathematics with specific function of angles and their applications to calculation".
According to the question,
In right triangle XYZ, the value of tan(60°) = [tex]\frac{1}{\sqrt{3} }[/tex]
= 1.73205.
Hence, Using trigonometry value, The value of tan(60°) = 1.73205.
Learn more about trigonometry here
https://brainly.com/question/26719838
#SPJ2
find the value of x in the picture
Answer:
x = 38
Step-by-step explanation:
A straight line is 180°. We are given 134 and 84. We can find the value of ∠QLM and ∠QML by taking the given numbers and subtract it from 180:
180 - 134 = 46
180 - 84 = 96
All triangles add up to 180. And we already have two of the angles in the triangle. So to find x, we take 46 and 96, add, and subtract from 180:
46 + 96 = 142
180 - 142 = 38
Answer:
x = 38
Step-by-step explanation:
∠ KLO and ∠ MLO are adjacent and supplementary, thus
∠ MLO = 180° - 134° = 46°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ NMO is an external angle of the triangle, thus
x + 46 = 84 ( subtract 46 from both sides )
x = 38
PLZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPP ASAPPP
Mac waters plants for his neighbors when they are away. He graphed several points on a coordinate grid to represent the watering. The x-axis represents the number of plants he has watered in a given day, and the y-axis represents the number of gallons of water he has used to water them. Which point on his graph represents a different ratio of gallons of water to plants than the other points?
A. (16, 4)
B. (8, 2)
C. (24, 8)
D. (48, 12)
Answer:
Step-by-step explanation: 50 km is 36.1 km more than 13.9.
Hope this helps !
-Carrie
Step-by-step explanation:
The correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.
What is the ratio?The ratio is the representation of the fraction where this fraction is represented by the : symbol.
Given in the question number of plants that he watered every day is represented on the x-axis in the coordinate grid.
The number of gallons that he waters every day is represented on the y-axis in the coordinate grid.
We have to check the ratio of the y coordinate and the x coordinate is different from other options.
By checking all the options
Option A: (16,4) ratio of gallons of water and plants that are watered is 4/16= 1/4= 1:4
Option B: (8,2) ratio of gallons of water and plants that are watered is 2/8= 1/4= 1:4
Option C: (24,8) ratio of gallons of water and plants that are watered is 8/24= 1/3= 1:3
Option D: (48,12) ratio of gallons of water and plants that are watered is 12/48= 1/4= 1:4
By analyzing all options, Option A, B, D has a ratio 1:4. and Option C has a ratio 1:3.
Therefore the correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.
Learn more about ratio
here: https://brainly.com/question/2784798
#SPJ2
Given g(x)=-x-2, Find g(1).
Write the equation of a line in point-slope form thatſgoes through the coordinate
(4, -3) and has a slope of 7. *
Answer:
hope this helps you
Find the common ratio, the 8th term, the explicit formula, the recursive formula, and the three terms in the sequence after the last one given.
-1,2,-4,8
Answer:
I am also truly sorry
Step-by-step explanation:
Answer: 29
Step-by-step explanation:
replace n with 8
Find the measure of Angle A
Answer:
49°
Step-by-step explanation:
Lines k and n seem to be parallel, so that means that 7x = 2x + 35 (corresponding angles are congruent), and x = 7. That means that angle A = 2x + 35 = 14 + 35 = 49° (because they are vertical angles).
The measure of <A is 49 degree.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
Solve the system of equations and choose the correct ordered pair.
3x + 5y = 2 9x +11 y= 14
A. (4, -2)
B. (4,2)
C. (3,-2)
D. (3,2)
Answer:(4,-2)
Step-by-step explanation: elimination method
3(3x+5y)=2×3
9x+11y=14
9x+15y=6
-
9x+11y=14
4y=-8
y=-2
To get x replace y with -2
3x+(5×-2)=2
3×=12
X=4
Answer:
its A
Step-by-step explanation:
if the nth term of a sequence is 3n + 1 what is the 8th term
Answer:
25
Step-by-step explanation:
24 + 1
The value of 8th term of the sequence will be 25.
What is the general formula of nth term of a sequence ?The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.
The nth term of the sequence is 3n+1
The 8th term will be 3 * 8 + 1 = 25
Therefore, the value of 8th term of the sequence will be 25.
To know more about the general formula of nth term of a sequence
https://brainly.com/question/14166351
#SPJ2
Michael is packing his bags for his vacation. He has 5 unique shirts, but only 4 fit in his bag. How many different groups of 4 shirts can he take?
Answer:
12
Step-by-step explanation:
I think you have to use the product rule for counting- which is where you multiply the two numbers. I'm not sure if this is right but I hope I helped
Answer:
5 shirts
Step-by-step explanation:
Think of this question like this, where each shirt option (5 options) has a number:
Shirt #1, Shirt #2, Shirt #3, Shirt #4, and lastly Shirt #5
Without using much math, the answer is 5 shirts because every possible outcome (of the 4 shirts Michael must pick to bring on vacation) will leave exactly one shirt that he will not be able to pack. The only possible outcomes that would fit this question would be:
1) Shirt #1, Shirt #2, Shirt #3, and Shirt #4
2) Shirt #2, Shirt #3, Shirt #4, and Shirt #5
3) Shirt #3, Shirt #4, Shirt #5, and Shirt #1
4) Shirt #4, Shirt #5, Shirt #1, and Shirt #2
5) Shirt #5, Shirt #1, Shirt #2, and Shirt #3
The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?
Answer:
[tex]\dfrac{a+b+c}{2}[/tex]
Step-by-step explanation:
Number of kids in the first class =aNumber of kids in the second class =bNumber of kids in the third class =cThe sum of the kids in the three classes =a+b+c
If they are divided equally between two buses, then we have:
[tex]\text{Number of kids in each of the bus}=\dfrac{a+b+c}{2}[/tex]
Help me once again please :)
Answer:
C. 30-60-90
Step-by-step explanation:
the ratio for a 3-6-9 triangle is x, 2x, x√3
if x=8, then 2x=16, and x√3 =8√3
it's not A because it is a right angle triangle.
it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer
Answer:
c
Step-by-step explanation:
The longest side is hypotenuse.
Using Pythagorean theorem:
c² = a² + b²
16² = 8² + (8√3)²
256 = 256 True, so it is a right triangle.
Short leg = 8, long leg = 8√3
For 30-60-90 right triangle:
short leg = hypotenuse/2 = 16/2 = 8 , true:
long leg = short leg*√3 = 8√3, true.
what is the cosine for F?
A. 13/12
B. 13/5
C. 12/13
D. 5/13
an algebraic _____ has an equal sign
Answer:
An algebraic equation has an equal sign.
Step-by-step explanation:
By definition, an equation must have an equal sign. Otherwise, it cannot be considered an equation.
Annie has an interview at 1.20 pm It will take her 1 hours to travel to the interview. She wants to arrive at least 15 minutes before her interview time. What is the latest time Annie should for the interview?
Answer:
1:05 pm
Step-by-step explanation:
1:05 pm is the latest time
please answer need help with equation!
Answer:
Hi there hope ur having a good day , the answer is
18P
Step-by-step explanation:
[6 X 3]P
18P
Answer:
18P
Step-by-step explanation:
[3X 6]P
18P
Have a great day
There are 1265 students at Cypress Middle School. 42% of the students are enrolled in PE. Which equation could be used to represent the number of students enrolled in PE?
Answer:
0.42* 1265=x
Step-by-step explanation:
There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.
Write 2.54 x 10^-6 in standard form
Answer:
2540000 x
Step-by-step explanation
the answer is 2540000...
2 Points
Solve 5x - c= k for x.
Answer:
[tex]x = \frac{c + k}{5} [/tex]
Step-by-step explanation:
[tex]5x - c = k \\ 5x = c + k \\ \frac{5x}{5} = \frac{c + k}{5} \\ x = \frac{c + k}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer: x = 1/5c + 1/5k
Step-by-step explanation:
5x - c = k
5x = c + k:
Divide both sides by 5
x = 1/5c + 1/5 k
question #1[tex]6\geq -4x-2[/tex]
f(x)=4x^2 + 3x +13 {Find } f(1)
f(x)=4x^2+3x+13
Plug in x=1:
f(1)=4(1)^2+3(1)+13
=4*1+3+13
=4+16
=20
Answer:
f(1) = 20
Answer:
20
Step-by-step explanation: