the average package of Oreos has 51 cookies. If there are 3 rows of Oreos in each package,how many cookies are in each row? what if there were four rows of cookies how many cookies would be in a package
Answer:
1/ 17 cookies in each row
2/ 68 cookies in a package
Step-by-step explanation:
We know
The package of Oreos has 51 cookies
1/
If there are 3 rows of Oreos in each package, how many cookies are in each row?
51 / 3 = 17 cookies
So, there are 17 cookies in each row.
2/
If there were four rows of cookies, how many cookies would be in a package?
We know each row has 17 cookies
17 x 4 = 68 cookies
So, there are 68 cookies in a package.
Which ordered pair represents point D?
(4, -4)
(-4, -4)
(4, 4)
(-4, 4)
The point must be (-4,-4)
what is the Cartesian coordinate system?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,
Given here : the Point D in the graph.
Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).
we can clearly read that the point D is -4 points away from the y-axis and -4 units away from the x-axis to the right. It also lies in the third quadrant in the co-ordinate plane.
Hence, The point must be (-4,-4)
Learn more about co-ordinate system here:
https://brainly.com/question/29762404
#SPJ1
Use the image below to answer questions 3 and 4.
What is the value of x?
Answer: x =
Answer:
x=18
Step-by-step explanation:
a car starts off 163 miles directly north from the city of johnstown. it travels due east at a speed of 33 miles per hour. after travelling 63 miles, how fast is the distance between the car and johnstown changing? (do not include units in your answer, and round to the nearest hundredth.)
The distance between the car and Johnstown is decreasing at a rate of 33 miles per hour.
After travelling 63 miles, the distance between the car and Johnstown is changing at a rate of 33 miles per hour, and the distance between the car and Johnstown is 100 miles
To calculate the distance between the car and Johnstown after travelling 63 miles, we need to first find the starting distance.
The car starts off 163 miles directly north from the city of Johnstown, so the starting distance is 163 miles.
We then need to subtract the distance travelled from this starting distance. Since the car is travelling at a rate of 33 miles per hour, it has travelled 63 miles in the given time.
Therefore, the distance between the car and Johnstown is 100 miles
(163 - 63 = 100).
Finally, we need to calculate the rate of change of this distance. Since the car is travelling at a rate of 33 miles per hour, the rate of change of the distance between the car and Johnstown is also 33 miles per hour.
Learn more about the speed:
https://brainly.com/question/27888149
#SPJ4
2 teas and 3 coffees have a total cost of £6.90
4 teas and 7 coffees have a total cost of £15.30
Work out the cost of one tea and the cost of one coffee.
Answer:7
Step-by-step explanation:
7
>
54
♡
ܘ
1
-5 -4 -3 -2 -19
-2
-3
GA
2 3 4 5
What is the gradient of the blue line?
X
Answer:
-0.25
Step-by-step explanation:
rise/run=2/8
= 0.25
ans is negative because line is going down
Answer:
2/-8 = -1/4 or -0.25 in decimal
Step-by-step explanation:
To find the slope take two distinguishable points on the graph(integer values preferred).
Find the difference in the y values and divide by the corresponding difference in the x values
You can identify 2 points with integer coordinates as
(-5, 3) and (3, 1)
Difference in y values = 3 - 1 = 2
Corresponding difference in x values : -5 - 3 = -8
So slope is 2/-8 = -1/4 or -0.25 in decimal
karen purchased a DVD player on sale. the original price was $175.80. the sale price was 153.67 what is the first step in finding the percent markdown? find the percent markdown.
The percent markdown is 22.58% for the given DVD player.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We can determine the value of the percent markdown by the following formula,
percentage decrease = (initial value - reduced value) / initial value × 100%
As per the given question, we have
initial value = $175.80, and reduced value = $153.67
Substitute the values in the above formula, and we get
percent markdown = (175.80 - 153.67) / 175.80 × 100%
percent markdown = (22.13) / 175.80 × 100%
percent markdown = 0.1258 × 100%
Apply the multiplication operation, and we get
percent markdown = 12.58 %
Thus, the percentage decrease of the given item would be 12.58%.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ1
the starlight diner's lunch special includes a choice of one each from 6 appetizers, 5 different salads, 4 meat dishes, 4 sides, 4 breads, and 5 drinks. how many different ways are there to choose a lunch special at the diner?
There are 9600 different ways to choose a lunch special at the starlight diner.
In the given question, there are:
Number of appetizers = 6
Number of salads = 5
Number of meat dishes = 4
Number of sides = 4
Number of breads = 4
Number of drinks = 5
We know that the number of ways to choose r elements from n elements is equal to nCr.
Since, the starlight diner's lunch special includes a choice of one each, then the number of ways in which we can choose a lunch special at the diner will be:
6C1 x 5C1 x 4C1 x 4C1 x 4C1 x 5C1 = 9600
To know more about different ways of choosing:
https://brainly.com/question/13082417
#SPJ4
Please show all your work. I will give brainiest if done.
The Takac Family decided to join an online music membership site where they can download individual songs, or entire albums and get them at discount prices. Anna downloaded 5 individual songs and 1 album and paid $14.90. Owen downloaded 3 individual songs and 2 albums and paid $21.75.
Mrs. T was a little upset when these charges came up on her bank statement, so she wanted to know how much they were actually being charged for each individual song that was downloaded and for each full album that was downloaded.
Can you help?
Set up an solve a system of equations that models this situation. Be sure to explain what each of your variables represents and also give a detailed explanation of what your solution represents in the context of this situation.
Do you think this membership site is a good deal?
Show all the work using the RACE to display your solution and make sure to answer all that the problem asks for. Scan and upload below.
a) A system of equations that models this situation and helps Mrs. T to know how much the family is being charged for each individual song and each full album downloaded is:
5x + y = 14.903x + 2y = 21.75.b) From the solution of the simultaneous equations, we can determine that each individual song downloaded costs $1.15 while each full album costs $9.15.
What is a system of equations?A system of equations is two or more equations or simultaneous equations, solved concurrently.
Individual Songs Album Total Costs
Anna's download 5 1 $14.90
Owen's download 3 2 $21.75
Let individual songs = x
Let Album = y
Equations:5x + y = 14.90... Equation 1
3x + 2y = 21.75... Equation 2
Multiply Equation 1 by 2:
10x + 2y = 29.80... Equation 3
Subtract Equation 2 from Equation 3:
10x + 2y = 29.80
-
3x + 2y = 21.75
7x = 8.05
x = 1.15
= $1.15
From Equation 1, substitute x = 1.15 to get y:
5x + y = 14.90
5(1.15) + y = 14.90
5.75 + y = 14.90
y = 9.15
y = $9.15
Check Equation 2:
3x + 2y = 21.75
3(1.15) + 2(9.15) = 21.75
3.45 + 18.3 = 21.75
Learn more about simultaneous equations at https://brainly.com/question/16763389
#SPJ1
Which value of x results in short circuit evaluation, causing y < 4 to not be evaluated?(x >= 7) (y < 4)678No such value
The value of x that results in short circuit evaluation, causing (y < 4) not to be evaluated, is any value that is greater than or equal to 7.
Short Circuit Evaluation is a concept in computer programming where certain expressions are evaluated only if necessary.
In this case, the expression (x >= 7) (y < 4) 678, we need to find the value of x that results in short circuit evaluation and causes (y < 4) not to be evaluated.
In this expression, the first expression (x >= 7) is evaluated first. If the value of x is greater than or equal to 7, then the expression is considered true and the evaluation process moves to the next expression (y < 4).
However, if the value of x is less than 7, then the expression is considered false and the evaluation process stops.
In this case, (y < 4) is not evaluated because the result of the expression is already known to be false, and therefore, evaluating it would be a waste of resources.
If x is less than 7, then (y < 4) will be evaluated. It is important to keep in mind that short circuit evaluation is a technique used to optimize the evaluation process and make it more efficient.
To know more about expression here.
https://brainly.com/question/14083225
#SPJ4
Triangle DEF is congruent to Triangle DFG by the
A.ASA Postulate
B.SSS Postulate
C.SAS Postulate
D.SSA Postulate
Answer: SSS Postulate
Step-by-step explanation:
Since DF is congruent to FD, there are three congruent sides.
two players a and b claim they are better suppose 30 games and 25 games what is h0
Null hypothesis: equal skill levels for both players, difference in wins due to chance.
What is null hypothesis ?
The null hypothesis is a characteristic arithmetic theory suggesting that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
The null hypothesis is typically expressed mathematically as:
H0: pA - pB = 0
where pA and pB are the true winning percentages of players A and B, respectively.
In this case, the null hypothesis is that the two players have equal skills and any difference in the number of games won is simply due to chance, not due to any real difference in ability between the two players.
Null hypothesis: equal skill levels for both players, difference in wins due to chance.
To learn more about null hypothesis visit : brainly.com/question/28920252
#SPJ4
Find all real solutions to\[x^2 - 12x + 40 = 0.\]
Answer: There are no Raeal Solutions
Step-by-step explanation:
1. Once you use the quadratic formula, you'll simply get an imaginary value as the value within the square root will be negative.
use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = x 3x4 5 , a = −1
Using the definition of continuity and the properties of limits to show that the function is continuous at the given number f(x)=-5
continuity of a real function is provided generally in a calculus’s introductory course in terms of a limit’s idea.
First, a function f with variable x is continuous at the point “a” on the real line, if the limit of f(x), when x approaches the point “a”, is equal to the value of f(x) at “a”, i.e., f(a).
Second, the function (as a whole) is continuous, if it is continuous at every point in its domain.
We know that the value of f near x to the left of a, i.e. left-hand limit of f at a and the value of f near x to the right f a,
i.e. right-hand limit are equal, then that common value is called the limit of f(x) at x = a. Also,
a function f is said to be continuous at a if limit of f(x) as x approaches a is equal to f(a).
A function f is continuous at a number a if
[tex]\lim_{x \to\n} f( x) = f(a)[/tex]
f(x) = [tex]x ^3x^4 5[/tex]
= [tex]\lim_{x \to \ a} x^3 * \lim_{x \to \ a} x^4 *5\\= (-1)^3 * (-1)^4 *5\\= -1 * 1* 5\\= -5[/tex]
Using the definition of continuity and the properties of limits to show that the function is continuous at the given number f(x)=-5
To know more about limit and continuity of a function visit brainly.com/question/30328478
#SPJ4
Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = TA y=1 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise
The marginal probability function for Y is (c) (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.
The marginal probability function for Y is calculated by summing the joint probabilities over all possible values of X for a given value of Y. Hence,
fy(0) = f(0,0) + f(1,0) = (0^2 + 300) * 5/10 + (1^2 + 310) * 5/10 = 0 + 5/10 = 1/2
fy(1) = f(0,1) + f(1,1) = (0^2 + 301) * 5/10 + (1^2 + 311) * 5/10 = 15/10 + 20/10 = 35/10
Therefore, the correct answer is (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.
Correct Question :
Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise
To learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
Peter scored 40 goals at soccer practice his ratio of goals to misses was 5:7 how many times did he miss
The number of times that he misses will be 56.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Peter scored 40 goals at soccer practice his ratio of goals to misses was 5: 7.
Let 'm' be the number of miss. Then the equation is given as,
40 / m = 5 / 7
Simplify the equation, then we have
40 / m = 5 / 7
8 / m = 1 / 7
m = 7 x 8
m = 56
The number of times that he misses will be 56.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
the fourth term in the geometric sequence in part (a) appears as the $n$th term in the arithmetic sequence. find the value of $n$.
The value of n is 30.33. The thirty-fourth term can be found by solving for the common difference (d) and the number of terms (n) in the arithmetic sequence and then using the formula for the nth term of an arithmetic sequence.
Let's assume that the common ratio of the geometric sequence is r. Then, the terms of the geometric sequence are given by:
[tex]a_2 = a_1 * ra_{10} = a_1 * r^8a_{34} = a_1 * r^{32}[/tex]
Since these terms also appear in the arithmetic sequence, we can write:
[tex]a_2 = a_1 + da_{10} = a_1 + 9da_{34} = a_1 + 33d[/tex]
Substituting the expressions for a_2 and a_{10} from the geometric sequence into the arithmetic sequence, we have:
[tex]a_1 * r = a_1 + da_1 * r^8 = a_1 + 9d[/tex]
Solving for d, we get:
[tex]d = a_1 * (r - 1)d = a_1 * (r^8 - 1) / 9[/tex]
Next, we use the expression for a_{34} from the arithmetic sequence and substitute the expression for d to obtain:
[tex]a_{34} = a_1 + 33d = a_1 + 33a_1 * (r^8 - 1) / 9[/tex]
Since the first term of the arithmetic sequence is 1, we have:
[tex]a_{34} = 1 + 33 * 1 * (r^8 - 1) / 9[/tex]
The value of n can be found by using the formula for the nth term of an arithmetic sequence:
[tex]a_n = a_1 + (n-1)d[/tex]
Setting n = 34 and substituting the expression for d, we have:
[tex]a_{34} = 1 + (33) * (a_1 * (r^8 - 1) / 9)[/tex]
So the thirty-fourth term of the arithmetic sequence is:
[tex]a_{34} = 1 + 33 * (1 * (r^8 - 1) / 9) = 34 - 33/9.[/tex]
Learn more about geometric sequence here:
https://brainly.com/question/1509142
#SPJ4
Complete Question:
An arithmetic sequence with first term 1 and common difference not equal to 0 has second, tenth, and thirty-fourth terms that form a geometric sequence.
What is the thirty-fourth term of the arithmetic sequence?
The fourth term in the geometric sequence above appears as the nth term in the arithmetic sequence. Find the value of n.
I need help with this please
Answer:
the answer is B or 12x +18
Answer:
first option: 12x+18
Step-by-step explanation:
You are finding the area of a rectangle so the formula you use will be
length * height
length = 4x+6
height= 3
you multiply them:
=3*(4x+6)
=3*4x + 3*6
=12x+18
URGENT: WILL MARK BRAINLIEST!!!!
Jacob wrote a two digit number and then wrote an additional digit to its right. He added 230 to the obtained number and got 1011. What is the original number Jacob wrote?
Answer:
original number Jacob wrote = 78
Step-by-step explanation:
basically Jacob wrote a 3 digit number, let's call it "x" and then he added 230 to x which resulted in 1011.
this can be written simple as an equation:
x + 230 = 1011
now just solve for x:
x = 1011 - 230
x = 781
finally we know that Jacob initially wrote a two digit number and then an additional digit to its right, hence the original number Jacob wrote would be:
78
Pease answer number 2
Answer: The functions has 3 real zeros because it cross the x-axis 3 times
As x goes towards infinity, f(x) goes towards infinity
As x goes towards negative infinity, f(x) goes towards negative infinity
3
An arrow is shot with an angle of elevation of 20°. When the arrow reaches an altitude of 482 feet, how far has the arrow flown through the air? Round
your answer to the nearest whole foot.
Type your answer...
1 point
figuro holow. To the nearest tenth of a foot
Answer:
1409.3
Step-by-step explanation:
Let the distance flown by the arrow in feet be [tex]d[/tex].
[tex]\sin 20^{\circ}=\frac{482}{d} \\ \\ \frac{1}{\sin 20^{\circ}}=\frac{d}{482} \\ \\ d=\frac{482}{\sin 20^{\circ}} \\ \\ d \approx 1409.3[/tex]
if u(x,t) is known, give an expression for the total thermal energy in a rod (0 ≤x ≤l).
The expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
[tex]\int_0^{L}cupAdx[/tex].
We are informed that a 1-D rod with a fixed cross-sectional area exists.
A, and we are trying to find the thermal energy between the sites x=0 and x=L.
Thermal energy per unit volume:e(x,t).
However, we do not want to think about the full rod part just yet. We wish to start by taking into account a narrow slice of the rod. We have an easy equation for that if the thermal energy density is constant across the volume.
Slice of a rod being considered: segment between x and x+Δx
Total energy with constant thermal energy density=e(x,t)AΔx
We also know that the temperature u(x,t) and specific heat =c(x) are independent of each other.
This means that we can now introduce the equations for the heat energy per unit mass and the mass density.
heat energy per unit =c(x) u(x,t),
total mass of the thin slice with thickness=AΔx ρ(x)
the total thermal energy in slice =c(x) u(x,t)AΔx ρ(x)
e(x,t)AΔx=c(x) u(x,t)AΔx ρ(x)
e(x,t)=c(x)u(x,t) ρ(x)
the expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
[tex]\int_0^{L}cupAdx[/tex]
learn more about thermal energy.
https://brainly.com/question/18989562
#SPJ4
in a survey one fourth young girl like sour taste only and one third like chilly taste. if 50 of them do not like both the taste, find the total number of young girl
Which of the following are factor pairs for 63? Select all that apply.
A.
2
×
126
B.
3
×
21
C.
4
×
13
D.
4
×
16
E.
7
×
9
The required factors of the number 63 is 21×3.So, option(B) is correct.
What is factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
How to find factors?Algebraic expressions are written as the sum of two or more expressions using factoring formulas. The following are some crucial factoring formulas: (a + b)2 = a2 + 2ab + b.
According to question:We have to find the factors of the number 63
= 63
= 9×7
= 3×3×7
= 21×3
Thus required factors of the 63 are 21×3.
To know more about Factors visit:
brainly.com/question/29128446
#SPJ1
[HELP! WILL GIVE BRAINLIEST] Determine the value of θ.
Answer:20.9248 degrees
Step-by-step explanation:
sin(θ)=opposite/hypotenuse
θ=sin⁻¹(opposite/hypotenuse)
θ=sin⁻¹(5/14)
θ=20.9248 degrees or θ=0.3652 radians
A cylindrical rod measures 4 inches long and the circumference of one of its bases is 12π inches. the rod is cut into two equally-sized pieces and then all surfaces are painted. what is the area that is painted? use π≈3.14. enter your answer, rounded to the nearest tenth, in the box.
The area painted is 376.8 sq. inches (approximately)
We can start solving the problem by calculating the radius of the base of the rod. We can use the formula for the circumference of a circle:
circumference = 2πr
Where r is the radius of the circle.
Given that the circumference of one of the bases of the rod is 12π inches, we can set up the equation:
12π = 2πr
r = 12π/2π = 6
So the radius of the base of the rod is 6 inches.
Now we can use the radius to find the area of one base of the rod. The area of a circle is given by the formula:
A = πr²
So the area of one base of the rod is:
A = π × 6² = 36π
Now we can use the length and radius of the rod to find the lateral surface area of the rod.
The formula for the lateral surface area of a cylinder is :
L.S.A = 2πrh
Where h is the height of the cylinder. In this case, the height of the cylinder is 4 inches.
L.S.A = 2π × 6 × 4 = 48π
So the lateral surface area of the rod is 48π inches.
Finally, to find the total area painted, we can add the area of the two bases and the lateral surface area.
Total area painted = 2 × 36π + 48π = 120π sq inches.
Now we can use π≈3.14 and get the area painted to the nearest tenth.
Total area painted = 120×3.14 = 376.8 sq. inches
Therefore, the area painted is 376.8 sq. inches (approximately)
To know more about the area and volume of cylinders:
https://brainly.com/question/26512281
6. A clothing store has reduced their prices on swim wear by 20%. A swimming costume normally costs R124,95. Maria has a loyalty card which entitles her to a further 7,5% discount. How much would Maria pay for the swimming costume?
Answer:
R92.463
Step-by-step explanation:
100% - 20% = 80% = 0.8
0.8 times 124.95 = R99.96
7.5% = 0.075
99.96 - (99.96 x 0.075) = R92.463
So, Maria pay R92.463 for the swimming costume.
The surface area of a cylinder with a radius of 3 inches is 78pi square inches. What is the height of the cylinder in inches? (Do not enter units)
The height of the cylinder in inches is 10 inch.
What is Surface Area?The total area of an object's external facing surfaces is its surface area. The base, top, and lateral surfaces (sides) of the object's surface are added together to get the object's overall surface area.
Given:
radius = 3 inch
Surface Area of cylinder = 78π
So, Surface Area of cylinder = 2πr (h+ r)
78π = 2π x 3 ( h+ 3)
78 = 6 (h+ 3)
13 = h+ 3
h= 10 inch
Hence, the height is 10 inch.
Learn more about Surface area here:
brainly.com/question/29298005
#SPJ1
if six of the homes are new and four have previously been occupied and if the six homes to visit are randomly chosen, what is the probability that all six are new? (the same answer results regardless of whether order is considered.)
The probability that all six homes visited are new is (3/5)^6.
There are a total of 6 + 4 = 10 homes, of which 6 are new and 4 have been previously occupied.
The probability of choosing a new home in one draw is 6/10 = 3/5.
To find the probability that all six homes visited are new, we can multiply the probability of choosing a new home in each of the six draws:
(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) = (3/5)^6
So, the probability that all six homes visited are new is (3/5)^6.
Learn more about probability;
https://brainly.com/question/25839839
#SPJ4
there are 22 boys and 32 girls on a school bus. if 6 boys and 4 girls get off the bus at the next bus stop, what will be the ratio of girls to total students
If 6 boys and 4 girls get off the bus at the next bus stop, the ratio of girls to total students will be 14/27.
There are 22 boys and 32 girls on a school bus, 6 boys and 4 girls get off the bus at the next bus stop.
Total boys = 22
Total girls = 32
Total Student = Total boys + Total girls
Total Student = 22 + 32
Total Student = 54
The girls gets off = 4
Now remaining girls in bus = Total girls - The girls gets off
Now remaining girls in bus = 32 - 4
Now remaining girls in bus = 28
The ratio of girls to total students = Now remaining girls in bus/Total Students
The ratio of girls to total students = 28/54
The ratio of girls to total students = 14/27
To learn more about ratio link is here
brainly.com/question/13419413
#SPJ4