She can put it into 2, 4, and 8 bags such that wafer cookies will same number in each bag.
What is a number system?A way to express or represent numbers is through the number system.
The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.
We often employ decimal numbers because they are so widely used.
The base of the decimal number system, which uses ten digits from 0 to 9, is 10.
A system of writing numbers is known as a number system. It is a mathematical notation that uses digits or other symbols to consistently express the numbers in a given set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Given,
Number of wafer cookies = 64
To put into 2 bags = 64/2 = 32 in each bag.
To put into 4 bags = 64/4 = 16 in each bag.
To put into 8bags = 64/8 = 8 in each bag.
The complete question is : Lindy has 64 vanilla wafer cookies to put in bags. How many bags can she fill if she puts the same number in each bag and uses them all? Find all the possibilities. Explain your reasoning.
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April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the annual interest rate?
April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest. the annual interest rate is 2%
How to find annual interest rateSimple interest is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $600
rate= ?
time = 5 years
simple interest = 60
plugging in the values
Simple interest = Principal * time * rate / 100
60 = 600 * 5 * r / 100
60 * 100 = 3000r
r = 6000 / 3000
r = 2%
The annual interest rate is 2%
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You are given a function f(x) that is continuous on the closed interval [2,10] and differentiable on the open interval (2,10). If f(2)=5 and the average rate of change is bounded between -1 and 3, that is: -1≤f'(x)≤3, what is the smallest possible value for f(10)?
Answer: -3
Step-by-step explanation:
[tex]-1 \leq f'(x) \leq 3\\\\-\int^{10}_{2} dx \leq \int^{10}_{2} f'(x) \text{ }dx \leq 3\int^{10}_{2} dx\\\\-8 \leq f(10)-f(2) \leq 24\\\\-8 \leq f(10)-5 \leq 24\\\\-3 \leq f(10) \leq 29[/tex]
In a classroom 1/5 student get grade A; 3/10 got grade B and rest get grade C in math. Total number of students in the class is 50. Find how many students got grade C
Answer:
25
Step-by-step explanation:
make 1/5 and 3/10 with equivalent denominator which will give us 2/10 and 3/10 now add them and we get 5/10 5 is the half of ten so we will divide 50 over 2 and we will get 25
What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
The probability that the students will have a pop quiz on a randomly selected day will be A. 0.25.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
From the information, the probability that students will not have a quiz is 75%. The probability that the students will have a pop quiz on a randomly selected day will be:
= 1 - 75%
= 0.25
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Complete question
The probability that students will not have a quiz is 75%. What is the probability that the students will have a pop quiz on a randomly selected day? a. 0.25 b. 0.52 c. 0.77 d. 0.90
A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank and $50 a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:
50x + 100 ≤ 600
Could someone pls explain on how to find the 5 number summary, Recall that the 5-number summary is the minimum, lower quartile, median, upper quartile, and maximum.
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16
The Five Number Summary is what?The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
The 5 digit summary definition
minimal is a smaller number.
lower quartile: First-half median of the data.
median
upper quartile :Median of the second half of data
greatest number is maximum
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
minimum = smallest number = 1
lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3
median = median( middle value) = 5
upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16
maximum = largest number = 28
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the following data reflects the overall enrollment in 10 universities of the open skies state in 2019 (again, the numbers are in thousands and are rounded): 23, 14, 27, 35, 7, 16, 25, 23, 35, 21. compute the mean and the irq of the data represented by your frequency plot.
The mean of the given data is 22.6
In the given question, the following data reflects the overall enrollment in 10 universities of the open skies state in 2019:
23, 14, 27, 35, 7, 16, 25, 23, 35, 21.
We have to compute the mean.
As we know that;
A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.
To find the mean we firstly add the given data then we divide the sum of data by the total number of data.
Mean = Sum of all data/ Total number
Mean = 23 + 14 + 27 + 35 + 7 + 16 + 25 + 23 + 35 + 21/10
Mean = 226/10
Mean = 22.6
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Booker T. Washington Middle School found two companies that would deliver healthy snacks to school. The tables below show the price charged by each company. How many more times does Company B charge per snack than Company A?
Two more times company B charge per snack than company A
What is meant by ratio?A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.
From the two tables,
0.5/0.25=2
1/0.5=2
1.5/0.75=2
2/1=2
Therefore, 2 more times company B charge per snack than company A
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WILL MARK BRAINLEIST!!!
Thomas wants to start a canned food collection with his friends to help the community. They bring 2 cans of food the first day, 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer.
A.The graph of the sequence would pass the vertical line test.
B.The graph of the sequence would pass the horizontal line test.
C.Each day corresponds to a unique amount of cans in the sequence.
D.They have a different amount of cans for the same day.
The statement that describes why this sequence is a function is given as follows:
A.The graph of the sequence would pass the vertical line test.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to a single value of the output.
In this problem, the input is the number of days, while the output is the number of cans. There are no repeated inputs, which means that this relation is a function.
On the graph, a relation being a function means that a vertical line will intercept the graph of the function only once, and thus option A is correct.
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Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help.
Select all the lengths of triangles that are right.
1.) 8, 9, 64
2.) 2,4,6
3.) 1, 1, V2
4.) 7,19,22
5.) 5, 12, 13
Please help me im trying to finish before deadline
The theorem that proves <DAE=<BAC is Pythagoras theorem.
What is Pythagoras theorem ?The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulas. In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.To learn more about Pythagoras theorem refer to:
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3. Solve each equation. Show your work.
a. 2x = 27 - x
Answer:
2x=27-x - given
3x=27 - add x to both sides
x=9 - divide both sides by 3
Step-by-step explanation:
[tex]2x=27-x[/tex]
Simplify:
[tex]2x=-x+27[/tex]
Add x to both sides:
[tex]2x+x=-x+27+x[/tex]
[tex]3x=27[/tex]
Divide both sides by 3:
[tex]\dfrac{3x}{3} =\dfrac{27}{3}[/tex]
[tex]\fbox{x = 9}[/tex]
Just answer it, dont have to show work, will mark brainly
The system of equations with the same solution set as the system of equations given is presented as follows:
5x + 3y = 10.x - 2y = -1.How to obtain the system of equations with the same solution set?The system of equations for this problem is presented as follows:
5x + 3y = 10.2x - 4y = -2.Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.
This holds true for the first option, as:
The first equation is the same for both systems, 5x + 3y = 10.The second equation on the first option is x - 2y = -1, meaning that it was the second equation of the given system divided by 2.More can be learned about a system of equations at https://brainly.com/question/24342899
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HELP ASAP PLEASE
FIND THE LENGTH FOR X
Answer:
6
Step-by-step explanation:
Corresponding sides of similar triangles have proportional side lengths.
[tex]\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6[/tex]
A shopper needs 24 sandwich rolls the store sells identical rolls and two differently sized packages the store sells a six-pack for $5.28 and four-packs for $3.40 should the shopper buy four six-packs or four 4-packs?
The shopper must buy six 4-packs sandwiches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of sandwiches to buy = 24
Cost of six-pack sandwiches = $5.28
Cost of four-pack sandwiches = $3.40
Cost of 24 sandwiches from the six-pack.
= 4 x 5.28
= $21.12
Cost of 24 sandwiches from the four-pack.
= 6 x 3.40
= $20.4
Thus,
Six four-pack sandwiches are cheaper than four six-pack sandwiches.
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One week, Jayden earned $87.50 at his job when he worked for 5 hours. If he is paid
the same hourly wage, how many hours would he have to work the next week to earn
$105.00?
Answer:
Here answer
Step-by-step explanation:
To find the number of hours Jayden would have to work to earn $105.00, we need to first find his hourly wage. We can do this by dividing his total earnings by the number of hours he worked:
hourly wage = total earnings / number of hours worked
= $87.50 / 5 hours
= $17.50/hour
Now that we know Jayden's hourly wage, we can use it to find the number of hours he would have to work to earn $105.00. We can do this by dividing the total amount he wants to earn by his hourly wage:
number of hours = total earnings / hourly wage
= $105.00 / $17.50/hour
= 6 hours
Therefore, Jayden would have to work for 6 hours to earn $105.00 at his job.
Find the equation of a parabola with its vertex at the origin and directrix x = 3.
The equation of a parabola is y²+12x=0.
In mathematics, what is a parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).
What exactly are the three parabola equations?Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).
as per the given question:
We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).
The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is
(x−(−3))² + (y−0)² = (x−3)²
or (x+3)² + y² = (x−3)²
or x² + 6x + 9 + y² = x² − 6x + 9
or y² + 12x =0
Hence, The equation of a parabola is y²+12x=0.
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Help please !!!???!!!!
Answer:
the lenth of the court is 78 feet
Does the graph represent a function?
what is 3f2 x 7f??????????????????????
Answer:
f1= -2+1/3
f2= 0
Step-by-step explanation:
3f^2+7f=0
a = 3; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·3·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
f1=−b−Δ√2af2=−b+Δ√2a
Δ−−√=49−−√=7
f1=−b−Δ√2a=−(7)−72∗3=−146=−2+1/3
f2=−b+Δ√2a=−(7)+72∗3=06=0
The table below represents a linear function.
\def\arraystretch{1.5} \begin{array}{|c|c|c|c|c|} \hline n & -3 & 1 & 5 & 9 \\ \hline f(n) & -3 & 5 & 13 & 21 \\ \hline \end{array}
n
f(n)
−3
−3
1
5
5
13
9
21
What is the slope?
Answer:
2
Step-by-step explanation:
if you do change in y/change in x it would be 8/4 with simplifies down to 2
A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything below and to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything above and to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the left of the line is shaded.
The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.
Find graph?The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6
The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.
The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.
- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;
The line crosses the y-axis at position (0 , 2)
– Locate the x-intercept.
∵ y = 0
∴ 0 = 2 - 2/3 x
- Adjust both sides by 2/3x.
∴ 2/3 x = 2
Increase both sides by 3.
Divide all sides by 2 to get the answer.
∴ x = 3
The line crosses the x-axis at position (3 , 0)
First and second from the figure.
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the gfc of 4800xy^3 , 1600y
The GFC of 4800xy³, 1600y is 1600y.
What is GFC:The greatest positive integer that evenly divides into all of the numbers with zero residual is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.
To find the GFC of a given number we will write them as a product of their prime factors.
Here we have
4800xy³ , 1600y
Write the given number as a product of prime numbers
4800xy³ = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × x × y × y × y
1600y = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y
Now list out the highest common factors
[ Here we will list out the factors which are common in both lists]
=> 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y
=> 1600y
Therefore,
The GFC of 4800xy^3 , 1600y is 1600y
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please help with this
The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.
Write Expressions Word Problems 1.
You run a small business and would like to print some business cards.
Staples offers color business cards for a small fee.
The cost is $.75 per card.
A) Write an expression for the total cost (in dollars) if you print b business cards. B) How much does it cost you to print 50 business cards?
Step-by-step explanation:
cost of business card - $.75 ( per card )
I want to print 50
So we will multiply 75 × 50
75
×50
00
355×
=375
$.375 will be the cost of the same
a square room has a floor area of 64 square meters. the height of the room is 9 meters. what is the area of all 4 walls?
Answer:
288 m^2
Step-by-step explanation:
each side of the room is 8 m ( 8x8 = 64)
So you have FOUR walls of widht 8 and height 9
area = FOUR * ( 9 *8) = 288 m^2
An object is attached to a spring that is stretched and released. The equation d= -8cos (pi/6 t) the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
The time at which the object is 6 inches above the rest position will be 4.62 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.
d= - 8cos [(π/6) t]
If d = 6, then the value of the variable 't' is calculated as,
6 = - 8cos [(π/6) t]
- 3/4 = cos [(π/6) t]
cos [(77/100)π] = cos [(π/6) t]
Compare the angle, then we have
(π/6) t = (77/100)π
t / 6 = 77 / 100
t = 4.62 seconds
The time at which the item is 6 crawls over the rest position will be 4.62 seconds.
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Step by step !!!!pease help
The option C is correct
What is the mathematical ratio?
Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls
Given that:
Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks
Total textbooks = 125 + 191 = 316 books
A box can contain maximum = 28 books
so the ratio of books and box will be = 316/28 = 11 box and 8/28
So total box will be 11 completely filled and the last one will be filled by 8/28
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Which expression is equivalent to the expression below?
7p+3(2q+9p)
a.7(p+6q+27p)7(p+6q+27p)
b.-2p+12q−2p+12q
c.-p+9q−p+9q
d.34p+6q34p+6q
The equivalent expression will be;
⇒ 34p + 6q
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 7p + 3 (2q + 9p)
Now,
Since, The expression is,
⇒ 7p + 3 (2q + 9p)
Hence, Solve for equivalent expression as;
⇒ 7p + 3 (2q + 9p)
⇒ 7p + 6q + 27p
⇒ 34p + 6q
Thus, The equivalent expression is find as,
⇒ 34p + 6q
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19. Evaluate the function
Find h (-10) if h (x) = -6x +9
Answer:
h(- 10) = 69
Step-by-step explanation:
substitute x = - 10 into f(x) , that is
f(- 10) = - 6(- 10) + 9 = 60 + 9 = 69
