The amount earned by the bookstore if all of the packages of supplies are sold is given as follows:
$60.
How to obtain the amount earned?Before obtaining the amount earned, we must obtain the number of packages, with is given by the greatest common factor of the amounts of each item.
The amounts of each item are given as follows:
36, 48 and 24.
Their greatest common factor is obtained factoring them simultaneously by the same prime factors as follows:
36 - 48 - 24|2
18 - 24 - 12|2
9 - 12 - 6|3
3 - 4 - 2
Hence:
gcf(36, 48, 24) = 2² x 3 = 12.
Which is the number of packages. As each package sells for $5, the amount earned is given as follows:
12 x 5 = $60.
Each package is composed by:
36/12 = 3 pens.48/12 = 4 markers.24/12 = 2 erasers.More can be learned about the greatest common factor at https://brainly.com/question/219464
#SPJ1
х
x
(1) Find the value of 7x + 3y
when
= 12 and
y = -6
Answer:
66
Step-by-step explanation:
Answer:
66 is the correct answer
Step-by-step explanation:
when 7(12)+3(-6)
= 84+(-18)
66
Can anyone answer what 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 is? Calculators are definitely acceptable, expecting a big number.
Answer:
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
big number
1 and double the zeros you just type
Why is y 4 a horizontal line?
The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.
Now, According to the question:
Let's know:
What is Horizontal lines?
If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
The equation is y = 4.
The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.
Learn more about Horizontal lines at:
https://brainly.com/question/10863938
#SPJ4
PLS HELP NOWWWWWWWW IM USING ALL MY POINTS DONT GUESS
Answer:
5- 20
Step-by-step explanation:
the highest points that is in line with 1000 is above the 5° mark. and the rest of the points betweent elevation 1000 and 2000 are above 5
so therefore it will be from 5-20
In March, Derrick had $25.50 in credit card debt.
He recorded the amount as -$25.50 in his
4.
account book. In April, he had the amount of
5
credit card debt that he had in March. How did he
record his amount of debt in April in his account
book?
Answer:
-20.50?
Step-by-step explanation:
I think you said he added 5 dollars in his account which would get some of his debt removed. But he would still have a remaining -20.50 dollars to get rid of.
5 mop and 7 broom cot a total of $855. 0. A mop cot $15. 00 more than a broom. Find the cot of:
a) 1 mop
b) 1 broom
pleae how working
the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.
Therefore,
a) 1 mop cost $77.50
b) 1 broom cost $62.50
What is the system of equations?
A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied in other words, the locations at which all of these equations intersect.
To find the cost of a mop and a broom, we can set up a system of equations using the information given:
Let x be the cost of a broom
Let y be the cost of a mop (which is $15 more than a broom)
From the problem, we know that:
y = x + 15 (since a mop costs $15 more than a broom)
5x + 7y = 855 (since 5 mops and 7 brooms cost a total of $855)
We can substitute the first equation into the second equation:
5x + 7(x + 15) = 855
5x + 7x + 105 = 855
12x = 750
x = 62.5
Hence, the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.
Therefore,
a) 1 mop cost $77.50
b) 1 broom cost $62.50
To learn more about the system of equations visit,
https://brainly.com/question/25976025
#SPJ4
I don’t understand the question and I can’t find anything in my notes to help
Step-by-step explanation:
The problem states that you have a linear function so expect your equation to have this form:
y = mx + b
where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.
m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)
= 54/9 = 6
So our equation now becomes
y = 6m + b
To solve for b, plug in the values of P1:
6 = 6(5) + b ---> b = -24
Therefore, our equation is
y = 6m - 24
The rest of the points are
(8, 24)
(11, 42)
Given:
sin (C) 4/9
Find tan (C)
[tex]sin(C)=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{9}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2 - 4^2}=a\implies \sqrt{65}=a \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan(C)=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{\sqrt{65}}}\implies tan(C)=\cfrac{4}{\sqrt{65}}\cdot \cfrac{\sqrt{65}}{\sqrt{65}}\implies tan(C)=\cfrac{4\sqrt{65}}{65}[/tex]
PLS ANSWER QUICK THANK YOU
Answer:
0.001
Step-by-step explanation:
i hope this helps :)
Answer: 0.001
Because the numerator and denominator both have 4 as a term, they can cancel each other out. This leaves the fraction as [tex]\frac{10^{-6} }{10^{-3} }[/tex]. When dividing terms with exponents, the exponents should be subtracted. -6-(-3)=-3. Because the term is [tex]10^{-3}[/tex], it needs to be changed into a fraction, so the exponent is positive. This would equal [tex]\frac{1}{10^{3} }[/tex]. This equals 1/1000, which is 0.001.
(two-step equation)
7c-2c=45
what is c? explain.
Answer:
c = 9
Step-by-step explanation:
simplify terms first
7c -2c=45
5c = 45
divide both sides by 5
c = 9
Answer:
7c-2c=45
5c=45
c=45/5
c=9
Using the numbers 4. 3, -1. 07, and -2. 971,write an expression containing both addition and subtraction that simplifies to a negative number
Therefore , the solution of the given problem of expression comes out to be -1.07+(-2.917)-4.3=-8.287.
Define expression.An expression is made up of a number, a variable, or a combination of both, along with certain operation symbols. Two expressions that make up an equation are separated by an equal sign. Example of a Word 8, 3, and the result is 11.
Here,
Given : the numbers 4. 3, -1. 07, and -2. 971
Using the above given numbers we can construct
an expression which contain both
addition and subtract
thus ,
In order to form we use + sign and - sign
We get,
-1.07+(-2.917)-4.3=-8.287
Therefore , the solution of the given problem of expression comes out to be -1.07+(-2.917)-4.3=-8.287.
To know more about expression , visit
brainly.com/question/14083225
#SPJ4
Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
Learn more about proportional relationships here: brainly.com/question/10424180
#SPJ1
please help .. asap
Answer:
20%
Step-by-step explanation:
3 + 4 + 3 + 5 + 1 + 3 + 6=25
She has 5 pink socks so 5/25 as a percent is 20%
A toaster has 4 slots for bread. Once the toaster is warmed up, it takes 35 seconds to make 4 slices of toast, 70 seconds to make 8 slices, and 105 seconds to make 10 slices. Explain how to predict the time it takes to toast any number of slices of toast.
It will take the toaster about 175 seconds to make 20 slices.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that The toaster takes 35 seconds to make 4 slices of toast.
It takes 70 seconds to make 8 slices of toast, It also takes 105 seconds to make 12 slices.
We are required to calculate how long it may probably take the toaster to make 20 slices.
To calculate the time it takes the toaster to make 1 slice:
4 slices ---------- 35 seconds
1 slice ----------- ? seconds
1/4 × 35 = 35/4 seconds
Now, if 1 slice will be made in 35/4 seconds,
20 slices will be made in:
1 slice --------- 35/4 seconds
20 slices ------ ? seconds
(20/1) × 35/4 = 175 seconds
Hence It will take the toaster about 175 seconds to make 20 slices.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
At Cheng's Bike Rentals, it costs $11 to rent a bike for 3 hours.
How many hours of bike use does a customer get per dollar?
Answer:
just simple ;
Step-by-step explanation:
As there are 48 hours in whole day and night as 11$ costs for 3 hours and for 3 is divided by 48 so it gives :it gives 16 hours multiply 16 by 11$ it gives 176$
so the answer is 176$In a right triangle, a = 14.2 cm and b = 13.9 cm. Find c. Round to the
nearest tenth.
Applying the Pythagorean theorem, the value of c in the right triangle, to the nearest tenth is: B. c = 19.9 cm
What is Pythagorean Theorem?The Pythagorean theorem is used to find any side of a right triangle. If c is the hypotenuse, and a and b are the legs, the Pythagorean theorem states that, c = √(a² + b²).
Given:
a = 14.2 cmb = 13.9 cmThus:
c = √(14.2² + 13.9²)
c = 19.9 cm.
Learn more about Pythagorean theorem on:
https://brainly.com/question/21332040
Finding the Probability of Simple Events
Answer:
th chicken
Step-by-step explanation:
The statement x+y= y + x is an example of
what number property? a. Commutative Property of Addition b. Associative Property of Addition C. Identity Property of Addition d. Inverse Property of Addition
Answer:
A
Step-by-step explanation:
Commutative Property of Addition states that a change in the order of terms does not change your sum.
The given statement is example of the commutative property of addition. So, option A is the correct answer.
What is commutative property of addition?According to the commutative property of addition, changing the order of addends has no impact on the sum.
The given statement is x+y=y+x.
Only addition and multiplication operations are under the scope of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers.
Example, 3+8=8+3
⇒ 11=11
So, x+y is same as y+x
Therefore, option A is the correct answer.
Learn more about the commutative property addition here:
https://brainly.com/question/778086.
#SPJ2
AYUDAAA ES PARA HOY.!!!
NOTA: Los angulos no están necesariamente dibujados a escala.
NOTE: Angles not necessarily drawn to scale.
AYUDENME PLEASE.!
Answer:
AGD=180-90
=90
FGD=CGE=23
AGF=90-23
=67degrees
Judy tosses a coin four times. Draw a tree diagram showing the possible outcomes. Select the probability of getting 2 heads
then 2 tails.
a. 1
5
4
16
C.
b.
1
8
d.
1
16
This is fractions
Answer:
d. 1/16
Step-by-step explanation:
Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.
Hope this helps!
Can someone help me with this? It’s due today :c
If the figure is translated 2 units left and 4 units down what are the coordinates of L
Answer:
(2 , -2)
Step-by-step explanation:
L (4 , 2) -> (4-2 , 2-4) -> (2 , -2)
How do you find the domain for the composition of two functions FG?
All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.
What is domain?A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.
To know more about domain refer to:
https://brainly.com/question/26098895
#SPJ1
Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc Hawk Skate Rental rents skate boards for $5.25 per hour with a rental fee of $25.
Give an example when renting from Parabola's would be a better deal than renting from Arc of Hawk's? Justify your answer.
An example of when renting from parabolas would be a better deal than renting from Arc of Hawk's is when the rental period is 8 hours.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The total cost of renting parabolas would be 8 × $4.50 + $35 = $43.
The total cost of renting from Arc Hawk's would be 8 × $5.25 + $25 = $45.75
So Parabola is cheaper by $2.75
In general, any rental period of 8 hours or less would be a better deal with Parabola's, as per hourly rate is cheaper and the rental fee is higher than Arc Hawk but still, the total cost is lesser.
As the rental period increases beyond 8 hours, the per-hour rate difference becomes negligible and Arc Hawk becomes cheaper.
It is important to compare the cost for the same rental period, to accurately determine which rental company offers a better deal.
To learn more about the rate click here :
https://brainly.com/question/12786410
#SPJ1
anyone know the equation to this?
Answer:
y = -3/4x + 36
Step-by-step explanation:
In slope-intercept form, (y = mx + b), m is the slope and b is the y intercept. The slope is the rise/run. You can count from one point to another that you move down 3 and to the right 4. So your rise/run is -3/4.
The y-intercept is 36, because that is where the line crosses the y-axis.
So you can substitute the values into the equation:
y = mx + b
y = (-3/4x) + (36)
y = -3/4x + 36
Write an equation to match this graph.
Answer:
y - 5 = 5(x - 1)
Step-by-step explanation:
Two points on the graph are (1, 5) and (7, 35). Going from the first to the second, we see x (the 'run') increasing by 6 and y (the 'rise') increasing by 30. Hence the slope of this line is m = rise / run = 30/6, or 5.
Using the point-slope equation, we get
y - 5 = 5(x - 1)
PLEASE HELP FAST !!
Animal Is a bird Can fly Ostrich Emu ✓ Canary ✓ Pig Seagull ✓ ✓ ✓ ✓ Crow Mosquito ✓ Let event A = The animal is a bird. Let event B = The animal can fly. Which outcomes are in A and B? A. {ostrich, emu, canary, seagull, crow, mosquito} B. {canary, seagull, crow} C. {canary, seagull, crow, mosquito} D. {ostrich, emu, canary, seagull, crow}
Answer:
in explanation
Step-by-step explanation:
The canary, the seagul, and the crow, All have both checkmarkes that shows that they Can fly AND they are birds (so B)
Bro this is easy you dont need Brainly for this just read it carefully and look at the graph.
Answer:
canary, seagull, crow
Step-by-step explanation:
just took the test
How do you calculate undefined FG?
To calculate undefined FG, subtract the original gravity (OG) from the final gravity (FG) of the beer. This will give you the amount of sugar that has been fermented and, therefore, the amount of alcohol produced. The formula is:
Undefined FG = OG – FG
In order to calculate the undefined FG of a beer, the original gravity (OG) and the final gravity (FG) of the beer must first be determined. The OG is a measure of the sugar content of the wort before fermentation, while the FG is a measure of the sugar content of the beer after fermentation. To calculate the undefined FG, the OG is then subtracted from the FG. This calculation provides the amount of sugar that has been fermented by the yeast, and therefore the amount of alcohol produced. This calculation is important for brewers, as it provides a quick and easy way to determine the ABV of a beer. In addition, the undefined FG can be used as a measure of the fermentation efficiency of the yeast, as a higher undefined FG indicates that more sugar has been fermented than a lower undefined FG. Understanding the undefined FG of a beer can help brewers make informed decisions about their brewing process and the quality of their beers.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
At Clara's Beading Boutique, 9 out of the 18 beads on clearance are plastic. What percentage of beads on clearance are plastic?
The percentage of beads on clearance are plastic is 50%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Total number of beads = 18
Number of beads which are plastic on clearance = 9
Percentage of beads which are plastic on clearance = (9 / 18) × 100
= (1/2) × 100
= 0.5 × 100
= 50%
Hence 50% of beads on clearance are plastic.
To learn more about Percentage, click here :
https://brainly.com/question/28198460
#SPJ1
300 grams of type a raisin bran is mixed with 500 grams of type b raisin brad to produce a mixture which is 11% raisins. Type A raisin bran has twice as many raisins per kilogram as type b. What percentage of raisins are each type of raisin bran?
The blend contains 16% of type A and 8% of type B.
What is meant by percentage?When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.
Let p be the percentage of type b used for the mix
2p be the percentage of type a used for the mix
2p × 300 + p × 500 = 0.11 × 800
simplifying the above equation, we get
p = 0.08 or 8%
Substitute the values in the above equation
2p = 2 × 0.08 = 0.16 or 16%
16 % of type a and 8 % of type b exists utilized for the mix.
To learn more about percentage refer to:
https://brainly.com/question/24877689
#SPJ1
The required percentage of raisins are each type of raisin bran are 16% and 8%.
What is meant by percentage?When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.
Let p be the percentage of type b used for the mix
2p be the percentage of type a used for the mix
2p × 300 + p × 500 = 0.11 × 800
simplifying the above equation, we get
p = 0.08 or 8%
Substitute the values in the above equation
2p = 2 × 0.08 = 0.16 or 16%
16 % of type a and 8 % of type b exists utilized for the mix.
To learn more about percentage refer to:
brainly.com/question/24877689
#SPJ1