Answer: 3 kids take 3 pieces of candy each
Step-by-step explanation:
Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)
Number of children that took 5 pieces is y ( total take 5*y pieces of candy)
1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.
( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy. So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )
So we have 2 equations or the system of 2 equations:
1). x+y=18
2). 3*x +5*y=84
Multuply both sides of equation 1) by 3
We have 3*x+3*y=18*3
Deduct 3*y from both sides of this equation
3*x+3*y-3*y=54-3*y
3*x=54-3*y
Substitute 3*x in equation 2). by 54-3*y
2) 54-3*y+5*y=84
2*y=30
y=15 ( kids take 5 pieces of candy each)
Using equation 1) find x
x+15=18
x=3 (kids take 3 pieces of candy each)
Which description is true about the transformation shown? It is a dilation because the transformation is isometric. It is a dilation because the transformation is not isometric. It is a stretch because the transformation is isometric. It is a stretch because the transformation is not isometric.
The true statement about the given transformation is; B: It is a dilation because the transformation is not isometric.
What is the Transformation?An isometric transformation is a shape-preserving transformation in the plane or in space. They include reflection, rotation and translation.
Now, from the given attachment showing the two figures, we can see that there is a dilation which means that it can't be isometric as the definition of Isometric transformation does not include Dilation.
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Answer:
b
Step-by-step explanation:
just took the test
What is the AWP used to do
Answer:
The Arctic Warfare Police (AWP) is the law enforcement variant of the series, commonly chambered for 7.62×51mm NATO. The Magnum Sniper Rifle depicted in Counter-Strike is based on the Arctic Warfare Magnum, chambered for . 338 Lapua Magnum.
Find m<1. Triangle Angle-sum theorem
Answer:
m<1 = 50
Step-by-step explanation:
We can first find the angle next to 140, by doing 180 - 40 = 40.
Now that we know that one of the triangles angle is 40, we also know that there's a 90 degree angle, so we can do:
180 - 90 - 40 = 50
So m<1 = 50
A pianist plans to play 5=pieces at a recital from her repertoire of 20 pieces, and is carefully considering which song to play first, second etc. to create a good flow. How many different recital programs are possible?
Answer:
2432902008176640000 programs are possible using 20 distinct (different) songs.
Step-by-step explanation:
There are 20 choices for the first song, 19 choices for the second, ...1 song for the last for a total of
N = 20*19*18*...*3*2*1 = 20!= 2432902008176640000 programs
The number 20! is the number of permutations for 20 distinct objects put in order.
20! is pronounced as 20 factorial.
Example: factorial of 5 is 5*4*3*2*1 = 120
Answer:
20*19*18*17*16=1 860 480 different programs
Step-by-step explanation:
So there are 20 pieces total and each of them can be first.
Each of residual 19 can be the second
Each of residual of 18 can be the third
Each of residual 17 can be the fourth
Each of residual 16 can be the fifth
Total amont of possible different programs ( the order of the pieces matters)
is : 20*19*18*17*16=1 860 480 different programs
Solve the equation using the distributive property and properties of equality.
1/2(x+6) = 18
What is the value of x?
O 6
O7 1/2
O 14 1/2
0 30
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Expand brackets or use distributive law.
1/2(x) + 1/2(6) = 18
1/2x + 6/2 = 18
1/2x + 3 = 18
Subtract 3 on both sides.
1/2x + 3 - 3 = 18 - 3
1/2x = 15
Multiply both sides by 2.
(2)1/2x = (2)15
x = 30
Answer:
30
Step-by-step explanation:
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?
Answer:
B'(0,-2)
Step-by-step explanation:
the coordinates of B (-5,0)
the translation is(x+5,y-2)
B' : (-5+5,0-2)
B'(0,-2)
Find the length of the following tangent segments to the circles centered at O and O's whose radii are 5 and 3 respectively and the distance between O and O's is 12. Find segment AB
Answer:
AB = 2 sqrt(35) (or 11.83 to two decimal places)
Step-by-step explanation:
Refer to diagram.
ABO'P is a rectangle (all angles 90)
=>
PO' = AB
AB = PO' = sqrt(12^2-2^2) = sqrt(144-4) = sqrt(140) = 2sqrt(35)
using Pythagoras theorem.
will give brainly and thanks
Answer:
x = 39
Step-by-step explanation:
The two angles will be equal when the lines are parallel
4x-24 = 3x+15
Subtract 3x from each side
4x-24-3x = 3x+15-3x
x-24 = 15
Add 24 to each side
x-24+24 = 15+24
x = 39
Answer:
x=39
Step-by-step explanation:
Since these are alternate interior angles they should be set equal to each other so
4x-24=3x+15
Now simplify to get...
x=39
A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.
Answer:
r=$14,400
The hotel should charge $120
Step-by-step explanation:
Revenue (r)= p * n
where,
p = price per item
n = number of items sold
A change in price leads to a change in number sold
A variable to measure the change in p and n needs to be introduced
Let the variable=x
Such that
p + x means a one dollar price increase
p - x means a one dollar price decrease
n + x means a one item number-sold increase
n - x means a one item number-sold decrease
for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)
know that at $60 per room, the hotel rents 210 rooms
r = (60 + 2x) * (210 - 3x)
=12,600-180x+420x-6x^2
=12,600+240x-6x^2
r=2100+40x-x^2
= -x^2 +40x+2100=0
Solve the quadratic equation
x= -b +or- √b^2-4ac / 2a
a= -1
b=40
c=2100
x= -b +or- √b^2-4ac / 2a
= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)
= -40 +or- √1600-(-8400) / -2
= -40 +or- √ 1600+8400 / -2
= -40 +or- √10,000 / -2
= -40 +or- 100 / -2
x= -40+100/-2 OR -40-100/-2
=60/-2 OR -140/-2
= -30 OR 70
x=70
The quadratic equation has a maximum at x=70
p+2x
=60+2(30)
=60+60
=$120
r= (60 + 2x) * (210 - 3x)
={60+2(30)}*{(210-3(30)}
r=(60+60)*(210-90)
=120*120
=$14,400
of the 1248 students enrolled 24% did not like the new mascot design. what is the mean of this binomial distribution
A. 299.5
B. 948.5
C. 17.3
D. 300.3
Answer: A. 299.5
Step-by-step explanation:
1248 · 24%
1248 · 0.24=299.50
Velocity of a Car The velocity of a car (in feet per second) t sec after starting from rest is given by the function f(t) = 11 t (0 ≤ t ≤ 30). Find the car's position, s(t), at any time t. Assume that s(0) = 0. s(t) =
Answer:
s(t) = 11t²/2Step-by-step explanation:
Velocity is defined as the rate of change in displacement of a body. It is expressed mathematically as v = change in displacement/time
v(t) = ds(t)/dt
ds(t) = v(t)dt
integrating both sides;
s(t) = [tex]\int\limits v(t)dt[/tex]
Given the velocity function f(t) = 11t, the car's position (displacement) is expressed as s(t) = [tex]\int\limits 11t\ dt[/tex]
s(t) = 11t²/2 + C
at the initial point, s(0) = 0 i.e when t = 0, s(t) = 0. The resulting equation becomes;
0 = 11(0)²/2+ C
0 = 0+C
C = 0
To find the car's position, s(t), we will substitute C = 0 into the equayion above;
s(t) = 11t²/2 + 0
s(t) = 11t²/2
Hence s(t) = 11t²/2 is the required position of the car in terms of t.
Using an integral, it is found that the car's position, at any time t, is given by:
[tex]s(t) = \frac{11t^2}{2}[/tex]
The velocity of the car is modeled by the following function:
[tex]f(t) = 11t, 0 \leq t \leq 30[/tex]
The position is the integrative of the velocity, hence:
[tex]s(t) = \int f(t) dt[/tex]
[tex]s(t) = \int 11t dt[/tex]
[tex]s(t) = \frac{11t^2}{2} + K[/tex]
In which the constant of integration K is the initial position. Since the initial position is [tex]s(0) = 0[/tex], the constant is [tex]K = 0[/tex], and hence, the car's position, at any time t, is given by:
[tex]s(t) = \frac{11t^2}{2}[/tex]
A similar problem is given at https://brainly.com/question/14096165
Solve for x 90°, 45°, and x°
Answer:
x= 45
Step-by-step explanation:
In this diagram, there is an angle that is split into 2 angles.
The angle is a 90 degree angle. We know this because of the little square in the corner that denotes a right angle.
Therefore, the 2 angles inside of the right angle must add to 90 degrees. The 2 angles that make up the right angle are x and 45.
x+45=90
We want to find x. We need to get x by itself. 45 is being added on to x. The inverse of addition is subtraction. Subtract 45 from both sides.
x+45-45=90-45
x= 90-45
x=45
The measure of angle x is 45 degrees.
Andre makes a three-digit number.
All the digits are odd.
The sum of the digits is 7.
What could Andre's number be?
Answer: 115,151,115,133,313,331
Step-by-step explanation:
The Andre's number can consist from 1+1+5 or 3+3+1. There are no any other sets of 3 odd digit to get 7.
Lets prove this statement.
Lets 1 of the digit is bigger than 5. However the digit is odd so it can be 7 only. However in this case the residual 2 digits are 0 . This is not possible so the gigits are odd however 0 is even.
Lets check the case when the biggest digit in the set is smaller than 3.
So it can be 1 only.
So the residual 2 digits can be 1 only. The sum of 1+1+1<7 .
SO we've prooven that the only sets of the digits are 1;1;5 or 3;3;1
The set 1;1;5 can give 3 numbers:
115,151,115
The set 1;3;3 can give 3 numbers as well:
133,313,331
Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot = 12 inches
Answer:
120 inches long in total becuase 12x10 is 120.
2 + 2 = 4 - 1 =3 quick maths..... NOT A QUESTION BUT WHOEVER ANSWERS FIRST GETS BRAINLIEST
Answer:
That is correct
Step-by-step explanation:
yes sir you are corret
Cassie has test grades of 71, 78 and 83 on the first three tests in her
pre-algebra class. What are the possible scores she can make on the
fourth test in order to make at least a letter grade of B after the fourth
test? A letter grade B means an average of at least 80. Let x represent
the score on the fourth test.
Answer:
x ≥ 88
Step-by-step explanation:
In order to have at least an average of 80 after 4 tests, the sum of her scores must be at least 80 * 4 = 320 so we can write the following inequality:
71 + 78 + 83 + x ≥ 320
232 + x ≥ 320
x ≥ 88
Answer:
Your correct answer to this problem is x ≥ 88
Step-by-step explanation:
71 + 78 + 83 + x ≥ 320
232 + x ≥ 320
= x ≥ 88
Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may suggest, two sides of the mat are right triangles. If the height of the mat is 7 inches shorter than the length of the mat and the hypotenuse is 1 inches longer than the length of the mat, what is the length of the mat?
Answer: length = 12
Step-by-step explanation:
Use Pythagorean Theorem: length² + height² = hypotenuse²
length = L
height = L - 7
hypotenuse = L + 1
L² + (L - 7)² = (L + 1)²
L² + L² - 14L + 49 = L² + 2L + 1
2L² - 14L + 49 = L² + 2L + 1
L² - 14L + 49 = 2L + 1
L² - 16L + 49 = 1
L² - 16L + 48 = 0
(L - 4)(L - 12) = 0
L - 4 = 0 L - 12 = 0
L = 4 L = 12
Input L = 4 and L = 12 to find the height:
Height = L - 7 height = L - 7
= 4 - 7 = 12 - 7
= -3 = 5
↓
negative height is not valid
So, the only valid solution is L = 12
What is the answer for x? (3x-3)° [6(x-10)]
Answer:
x = 19
Step-by-step explanation:
The angles are vertical angles which means they are equal
3x-3 = 6(x-10)
Distribute
3x-3 = 6x-60
Subtract 3x from each side
3x-3 -3x = 6x-60-3x
-3 =3x-60
Add 60 to each side
-3+60 =3x-60+60
57 = 3x
Divide by 3
57/3 = 3x/3
19 =x
PLEASEEEEE HELPPOO
For Individual or Group Explorations
Maximizing the Total Profit
Payles at The Christmas Store very periodically with a high ef 550.000 in December
the Christmas Stove also comes the Powe, where profits reach a high of $80,000
in Aurust and a few of $20,000 in February Assume that the profit function for
Crm Store
Save
40
20
10
1 2 3 4 5 6 7 8 9 10 11 12
Month
a) Write the profit function for The Christmas Store as a function of the month
and sketch its graph
b)
Write the profit function for The Pool Store as a function of the month and
sketch its graph.
are are length
Write the total profit as a function of the month and sketch its graph. What is
the period?
are inside the
est enth of a
Use the maximum feature of a graphing calculator to find the owner's maxi-
mum total profit and the month in which it occurs.
Find the owner's minimum total profit and the month in which it occurs.
We know that y -a sin x + bcos x is a sine function. However, the sum of
two arbitrary sine or cosine functions is not necessarily a sine function. Find an
example in which the graph of the sum of two sine functions does not look like
a sine curve.
Explain.
is tangent to one
Answer:
what
Step-by-step explanation:
h(x)=-4+16 find x when h(x)=48 Plz don't say it is incomplete
Answer:
x = -8
Step-by-step explanation:
When h(x) = 48, you can simply just plug it back into the first equation. Don't let the h(x) confuse you!
Think of it like saying y = -4x + 16, y = 48.
48 = - 4x + 16
32 = - 4x
8 = -x
Divide by -1 both sides.
-8 = x
What is the radius of a circle that has a circumference of 3.14 meters?
Answer:
Hey there!
Circumference of a circle=0.5[tex]\pi[/tex]r
3.14=0.5[tex]\pi[/tex]r
1=0.5r
r=2
Hope this helps :)
Answer:
1/2 meter
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
c= pi* 2r
We know that the circumference of the circle is 3.14 meters. Therefore, we can substitute 3.14 in for c.
3.14= pi* 2r
We want to find out what r, or the radius is. To do this, we must get r by itself.
First, divide both sides of the equation by pi, or 3.14. We divide because 2r is being multiplied by pi, and division is the inverse of multiplication.
3.14= pi* 2r
3.14/3.14=3.14* 2r/3.14
3.14/3.14=2r
1=2r
Next, divide both sides by 2. We divide because 2 and r are being multiplied, and the inverse of division is multiplication.
1/2=2r/2
1/2=r
0.5=r
The radius of the circle is 1/2 or 0.5 meters.
A record store owner assesses customers entering the store as high school age, college age,
or older, and finds that among all customers 30%, 50%, and 20% respectively, fall into these
categories. The owner also found that purchases were made by 20% of high school age
customers, by 60% of college age customers, and by 80% of older customers.
(a) Find the probability that a randomly chosen customer will make a purchase?
(b) If a customer makes a purchase, what is the probability that this customer is of college
age?
Step-by-step explanation:
(a) P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)
P = 0.52
(b) (0.5)(0.6) = 0.3
P = 0.3 / 0.52
P = 0.58
If a customer makes a purchase, then the probability that this customer is of college will be 0.58
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given that purchases were made by 20% of high school age customers, by 60% of college age customers, and by 80% of older customers.
(a) the probability that a randomly chosen customer make a purchase will be;
P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)
P = 0.52
(b) if a customer makes a purchase, then the probability that this customer is of college will be;
(0.5)(0.6) = 0.3
P = 0.3 / 0.52
P = 0.58
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A firm has 18 senior and 22 junior partners. A committee of three partners is selected at random to represent the firm at a conference. In how many ways can at least one of the junior partners be chosen to be on the committee?
Answer:
Answer is 24288.
Step-by-step explanation:
Given that there are 18 senior and 22 junior partners.
To find:
Number of ways of selecting at least one junior partner to form a committee of 3 partners.
Solution:
At least junior 1 member means 3 case:
1. Exactly 1 junior member
2. Exactly 2 junior member
3. Exactly 3 junior member
Let us find number of ways for each case and then add them.
Case 1:
Exactly 1 junior member:
Number of ways to select 1 junior member out of 22: 22
Number of ways to select 2 senior members out of 18: 18 [tex]\times[/tex] 17
Total number of ways to select exactly 1 junior member in 3 member committee: 22 [tex]\times[/tex] 18 [tex]\times[/tex] 17 = 6732
Case 2:
Exactly 2 junior member:
Number of ways to select 2 junior members out of 22: 22 [tex]\times[/tex] 21
Number of ways to select 1 senior member out of 18: 18
Total number of ways to select exactly 2 junior members in 3 member committee: 22 [tex]\times[/tex] 21 [tex]\times[/tex] 18 = 8316
Case 3:
Exactly 3 junior member:
Number of ways to select 3 junior members out of 22: 22 [tex]\times[/tex] 21 [tex]\times[/tex] 20 = 9240
So, Total number of ways = 24288
A type of probability distribution that shows the probability of x successes in n trials, where the probability of success remains the same from trial to trial, is referred to as a(n) ______.
Answer: Binomial distribution
Step-by-step explanation:
The binomial appropriation is a likelihood circulation that sums up the probability that a worth will take one of two free qualities under a given arrangement of boundaries or suspicions. The hidden suspicions of the binomial dispersion are that there is just a single result for every preliminary, that every preliminary has a similar likelihood of achievement, and that every preliminary is totally unrelated, or autonomous of one another.
What is 4sqrt7^3 in exponential form?
Answer:
[tex]\boxed{7^{\frac{3}{2} } \times 4}[/tex]
Step-by-step explanation:
[tex]4 (\sqrt{7} )^3[/tex]
Square root can be written as a power.
[tex]4(7^{\frac{1}{2} })^3[/tex]
Multiply the exponents.
[tex]4(7^{\frac{3}{2} })[/tex]
Answer:
A (7^3/4)
Step-by-step explanation:
ed 2020
A student's course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 5% of his final grade, a set of homework assignments that counts as 45% of his final grade, and a final exam that counts as 40% of his final grade. His midterm score is 60, his project score is 80, his homework score is 75, and his final exam score is 78. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
Answer:
His overall final score is a 73, which means that that student recieved a letter grade of a C.
Step-by-step explanation:
First, we are finding the mean of the scores to average everything out.
So, start by adding up all the scores given: 60+80+75+78=293.
Then, divide that sum by the number of scores given: 293/5=73.25, or rounded to a whole number is a 73.
In most schools, a 73 is a C, so this students letter grade for this course is a C.
There are 3 times as many novels as comic books in a bookstore.If there are 2480 books altogether, how many comic books are there in the bookstore.
Answer:
there are 620 comic books
Step-by-step explanation:
let number of comic books be x
total books=3x+x
2480=4x
2480/4=x
620=x
Answer:
620Step-by-step explanation:
Let comic books be ' X '
Let Novels be ' 3x '
Now, finding the value of X
According to Question,
[tex]3x + x = 2480[/tex]
Collect like terms
[tex]4x = 2480[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{2480}{4} [/tex]
Calculate
[tex]x = 620[/tex]
Thus, There are 620 comic books in the book store.
Hope this helps...
Best regards!!
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
point W
point X
m
2
n
2
point y
X
w
Y
point Z
V
Answer:
Point W
Step-by-step explanation:
Planes A and B intersect at an angle. Intersection of lines is when two lines meets at a particular point and cuts each other at the same point. Its a measure of perpendicularity for right angles and greater or lesser for others.
At any point W, line m and line n cuts each other at point W to form an angle as shown from the diagram.
An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is the maximum number of children that can enroll?
Answer:
10 children
Step-by-step explanation:
If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.
Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.
2 × 5 = 10
Hope this helped!
You have $50,000 in savings for retirement in an investment earning 5% annually. You aspire to have $1,000,000 in savings when you retire. Assuming you add no more to your savings, how many years will it take to reach your goal?
Answer: It will take you about 61 years for you to reach your goal.
Step-by-step explanation:
We will represent this situation by an exponential function. So if you earn 5% yearly then we could represent it by 1.05.So in exponential function we need to find the initial value and the common difference and in this case the common difference is 1.05 and the initial value or amount is 50,000 dollars.
We could represent the whole situation by the equation.
y= [tex]50,000(1.05)^{x}[/tex] where x is the number of years. so if you aspire to have 1,000,000 in some years then we will put in 1 million dollars for y and solve for x.
1,000,000 = 50,000(1.05)^x divide both sides by 50,000
20 = (1.05)^x
x= 61.40