Assuming that 1 wiener and 1 bun required to sell 1 hotdog.
Given that there are 12 wieners and 8 buns in 1 packet of each.
Let m be the minimum numbers of hotdogs for no leftover wieners or buns.
So, m must be a number which is divisible by both 12 as well as 8.
The smallest number which is the common multiple of both 12 as well as 8 is the highest common factor (H.C.F.) of 12 and 8 which is 24.
So, m=24
At this pint, note that 24 is the minimum number of hotdogs that students can sell with no leftover wieners or buns. For this, they need 2 packets of wieners and 3 packets of buns.
So, 1 m hotdogs required 2 packets of wieners and 3 packets of buns
But, here the number of hotdogs is between 100 and 150.
The next possible number of hotdog wit no leftover wieners or buns is 48 which is 2m, the next will be 3m, and so on.
In fact, any multiple of m will be divisible by 12 as well as 8, so there will not be any leftover wieners or buns.
So, 24n hotdogs require 2n packets of wieners and 3n packets of buns,
where n is a counting number.
Now, find the multiple of 24 in between 100 and 150,
The first multiple is 24x5=120
So, 120 hotdogs require 2x5=10 packets of wieners and 3x5=15 packets of buns
The second multiple is 24x6=144
So, 144 hotdogs require 2x6=12 packets of wieners and 3x6=18 packets of buns
If the students want to sell more than 300 hotdogs:
The minimum number which is multiple of 24 is 24x13=312, the next number is 24x14=336, and so on
For this n=13, 14, 15, ...
So, they need to buy 2n packets of wieners and 3n packets of buns to sell 24n packets of hotdogs for no leftover.
For the minimum number of 312 hot dogs, they need to buy 2x13=26 packets of wieners and 3x12=36 packets of buns.
Solve this linear equation for p: 2.6(5.5p – 12.4) = 127.92 1. Distributive property: 2. Addition property of equality: 3. Division property of equality: 4. Solution: 14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction. p =
Answer:
p = 11.2
Step-by-step explanation:
Given equation is :
2.6(5.5p – 12.4) = 127.92
Using the distributive property :
14.3p - 32.24 = 127.92
Using addition property :
14.3p - 32.24 + 32.24= 127.92 + 32.24 (adding 32.24 to the both sides)
14.3p = 160.16
Using division property :
[tex]p=\dfrac{160.16}{14.3}\\\\p=11.2[/tex]
So, the value of p is 11.2
Answer:
11.2
Step-by-step explanation:
Did it on edge.
Find the distance between the points -6.2 and -9.8. Show your work for full credit.
Answer:
-2
Step-by-step explanation:
2(t-3)² - 72 = 0. extracting square roots. with solution please
Answer:
t = 9
Step-by-step explanation:
Here, we want to find the value of t
2(t-3)^2 -72 = 0
2(t-3)^2 = 72
divide both sides by 2
(t-3)^2 = 72/2
(t-3)^2 = 36
(t-3)^2 = 6^2
Since powers are equal, we equate base
t-3 = 6
t = 6 + 3
t = 9
HELP ME ANSWER THIS PLEASE 15 points
Answer:
The answers are:
B), C), & E)
Eight less than three times a number is -23
Answer: 10 is your answer bud ❤
Is 372 divisibile by 6? And why
Answer:
yes
Step-by-step explanation:
its 62
Answer:
Yes 372 is divisible by 6.
Step 1:
Start by setting it up with the divisor 6 on the left side and the dividend 372 on the right side like this:
Step 2:
The divisor (6) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
Step 3:
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
Step 5:
Move down the 2nd digit of the dividend (7) like this:
Step 6:
The divisor (6) goes into the bottom number (37), 6 time(s). Therefore, put 6 on top:
Step 7:
Multiply the divisor by the result in the previous step (6 x 6 = 36) and write that answer at the bottom:
Step 8:
Subtract the result in the previous step from the number written above it. (37 - 36 = 1) and write the answer at the bottom.
Step 9:
Move down the last digit of the dividend (2) like this:
Step 10:
The divisor (6) goes into the bottom number (12), 2 time(s). Therefore put 2 on top:
Step 11:
Multiply the divisor by the result in the previous step (6 x 2 = 12) and write the answer at the bottom:
Step 12:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
cual es coeficiente en la expresion 5+9y
Answer:
The Coefficient to 5 + 9y is 9
Step-by-step explanation:
The leading term in a polynomial is the term with the highest degree.
9y
The leading coefficient in a polynomial is the coefficient of the leading term.
9
espero que esto ayude, y que tengas una buena noche
3. Solve for y:
X + 9y = 27
Answer:
y=3 - x/9
Step-by-step explanation:
Answer:
y= 27-x/9
Step-by-step explanation:
x + 9y = 27
9y = 27-x
9y/9 = 27- x/ 9
y = 27-x/9
Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Which equation models his distance from home y, in terms of minutes, x?
A)y=−0.2x+ 5
B)y=11/7x-27/7
C)y = 11 7 x − 27 7
D) y= 5x− 0.2 y=0.2x
Answer:
y=-0.2x+5. Correct choice: A)
Step-by-step explanation:
Modeling With Equations
Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:
After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)
After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)
A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct
Testing the second point (15,2): y=-0.2*15+5=2. Correct
This is the correct choice.
B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct
Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect
Incorrect choice.
C) This equation is equal to the choice B), thus this one is incorrect.
D) y=5x-0.2. The first point (5,4) yields to:
4=5*5-0.2=24.8 Incorrect.
Aston University creates a 10 digit student number as the University enrolls each student. The first two characters must be a digit 1 through 9. The next seven characters can be anything and the last digit just can’t be the same as the ninth character (i.e. the previous digit). How many student numbers are possible?
Answer:
The number of student numbers that are possible = 729,000,000 student numbers
Step-by-step explanation:
The number of possible numbers that can take the place of the first two digits = 9 possible numbers each
The number of possible numbers that can take the place of the 3rd to the 9th digits = 10 possible numbers each
The number of possible numbers that can take the place of the 10th digits = 9 possible numbers each
The total number of possible numbers is given as follows;
9 × 9 × 10⁶ × 9 = 729000000 possible student numbers
Miguel’s book has 331 pages. Kristen’s book has “n” fewer pages than Miguel’s book. Write an expression to represent the number of pages in Kristen’s book.
Answer:
331-n=x
Step-by-step explanation:
The area of a triangle is given by the formula A=1/2
(base x height).
If the base of a triangle is 7 cm and its height is 10 cm find its area.
Answer:
35
Step-by-step explanation:
A=(7×10) ÷2
A=35
it's simpler than it looks I promise
√116 rounded to the nearest tenth?
Answer:
10.8
hope this helps
Answer:
[tex]\boxed {10.8}[/tex]
Step-by-step explanation:
The equation:
[tex]\sqrt{116}[/tex]
Simplify:
[tex]\sqrt{116}[/tex]
[tex]2\sqrt{29} \approx 10.77[/tex]
-Round the approximation to the nearest tenth:
[tex]\boxed {10.8}[/tex]
Use the diagram above. Is AB congruent to DE? To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result? Why?
Answer:
(a) Segments AB and De are not congruent since their lengths are not equal.
(b) Yes, you get the same result. In both cases you must take the absolute value of the difference of the coordinates giving you the same result no matter in which order you subtract the coordinates of the points.
Step-by-step explanation:
(a)
To find the distance between any two points on the number line, take the absolute value of the difference of the coordinates of the points.
The coordinate of point P is p. The coordinate of point Q is q. PQ or QP, the distance between points P and Q, is:
PQ = QP = |p - q| = |q - p|
It does not make a difference in which order you find the diffeence of the coordinates.
Look at points A and B.
Point A has coordinate -2.
Point B has coordinate 3.
AB = |-2 - 3| = |-5| = 5
Now look at points D and E.
Point D has coordinate 10.
Point E has coordinate 14.
DE = |10 - 14| = |-4| = 4
AB = 5; DE = 4
Answer: The lengths of segments AB and DE are not equal, so the segments are not congruent.
(b)
The coordinate of point A is -2.
The coordinate of point C is 5.
AC = |-2 - 5| = |-7| = 7
If you subtract -2 from 5, and then take the absolute value, you get:
AC = |5 - (-2)| = |5 + 2| = |7| = 7
Again you get 7. The order in which you subtract the coordinates of the points does not affect the result since you take the absolute value of the difference in both cases.
AC =
The what? of 2 is -2. A. OPPOSITE B.SIGN
Bria drank an 8-ounce glass of water
from a 32-ounce container of water. How
many more 8-ounce glasses were left?
Answer:
3 8-ounce glasses of water were left
Step-by-step explanation:
If you divide 32 by 8, you get 4. And since she already drank a glass of water, you subtract 1 from 4, and you are left with 3.
Every 2.5 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship?
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
Answer:
60 baskets per hour
Step-by-step explanation:
given that every 2.5 hours, the machine produces 150 baskets
Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)
2.5 hours -------> machine produces 150 baskets
1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets
hence the unit rate of production is 60 baskets per hour
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point that divides MN such that MP: PN is equal to 2: 1?
Given:
The endpoints of MN are located at M (-4, 4) and N (2,-2).
Point P divides the line segment MN such that MP: PN = 2: 1
To find:
The coordinates of point P.
Solution:
Section formula: If a point divides a line segment in m:n, then coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment MN in 2:1. So,
[tex]P=\left(\dfrac{2(2)+1(-4)}{2+1},\dfrac{2(-2)+1(4)}{2+1}\right)[/tex]
[tex]P=\left(\dfrac{4-4}{3},\dfrac{-4+4}{3}\right)[/tex]
[tex]P=\left(\dfrac{0}{3},\dfrac{0}{3}\right)[/tex]
[tex]P=(0,0)[/tex]
Therefore, the coordinates of the point P are (0,0).
Use the vertical line test to determine whether or not the graph is a graph of a function. plz help
Answer:
pretty sure both are yes
How many cups of red paint should be added to 1 cup of white paint?
Answer:
3/7 or .43
Step-by-step explanation:
1 goes in to 7, 7 times so all you have to do is 3/7
y to the 3rd power= 27
help pls
Answer:
y=3
Step-by-step explanation:
its a simple equation.
[tex]\huge\boxed{3^3}[/tex]
Your question seems to be asking what is y. Therefore, it is 3³.
Remember, y³ is [tex]\boxed{y*y*y}[/tex].
[tex]\boxed{Y\; cannot\; = 1\; since\;1*1*1 =1 }[/tex][tex]\boxed{Y\;cannot\;=3\;since \;2*2*2 = 8}[/tex][tex]\boxed{Y\; = 3 \;since\; 3*3*3 = 27.}[/tex]Hope it helps!!
help please hurry I need to graph
Answer:
Brainiest would be appreciated
High Hopes^^
Barry-
Answer:
The answer is shown below.
Hope this helps!
Calculate the slope of a line that passes through the points (-4,7) and (-1,3)
Answer:
The answer is
[tex] - \frac{4}{3} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,7) and (-1,3)
We have
[tex]m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\ [/tex]
We have the final answer as
[tex] - \frac{4}{3} \\ [/tex]
Hope this helps you
Plz help I’ll give branliest!!
Answer:
2 is the correct option
I need help asap well mark you brain list
Answer: a's answer is 4096 and for the last question it is 243
Step-by-step explanation:
Answer:
4096243Step-by-step explanation:
Solving exponents
a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243Amanda and Sandy found seashells along the shore. Amanda found 8 shells and Sandy found twice as many. How many seashells did Sandy find?
Answer:
16 hope this helps you out
Answer:
she found 16 seashells
Step-by-step explanation:
which expression is equivalent to 1/27
A. 3^1 x 3^-10
B. 3^-1 x 3^10
C. 3^-4 x 3^7
D. 3^4 x 3^-7
Answer:
D
Step-by-step explanation:
Which of the following show the Associative Property?
A. 3 + 8 + 9 = 9 + 3 + 8
B. (3-8) - 9 = 3 - (8 - 9)
C. None of these
D. (3 + 8) - 9 = 3 + (8 + 9)
Please HELP! I’ll give BRAINLIEST :)
An undefined term is a term that has been given no formal definition. In geometry, there are three undefined terms that form the basis for the subject. What are those three undefined terms? Do your best to define those terms.
Answer:
Point, Line, and Plane
Step-by-step explanation:
The three undefined terms that form the basis for the subject are a point, a line, and a plane. A point is basically like a dot, which most people should know. A line is a straight one dimensional figure that extends to infinity in both directions. A plane a flat 2 dimension figure, that extends to infinity in all directions. You can think of a plane as infinite lines put next to each other.
You can visualize a point, a line, and a plane in a coordinate grid. A point on the coordinate grid is any point, from (0, 0), the origin, to (2039, pi). A line on the coordinate grid is linear. It can be of any equation from y=x to y=238490/239x + 123. You can think of a plane as the entire coordinate grid.
Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.
Answer:
Step-by-step explanation:
Let the consecutive even integers be 2n and 2n+2.
lesser integer = 2n
Greater integer = 2n+2
If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;
2(less integer) = 2(greater integer) - 4
Substituting the given integers;
2(2n) = 2(2n+2)-4
2(2n) = 2[(2n+2)-2]
2n = 2n+2-2
2n = 2n
2 = 2
This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.