Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1
Answer:
D
Step-by-step explanation:
y=kx+m
In this case I think the slope would be k.
k=y2+y1 / x2+x1
(4,-1) and (-1,4)
k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1
Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?
Step-by-step explanation:
Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:
[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]
Por lo tanto, la primera caja contiene 56 cajas más pequeñas.
Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:
[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]
Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.
Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:
[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]
Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.
La cantidad que quede en la casilla original se expresará como
= 448- (56 + 168 + 224)
= 448-448
= 0
Por lo tanto, no quedó ninguno en la caja original.
help me plzzzzzzzzzzz
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)
Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g
2. Find the density of a sphere with radius of 2m and a mass of 2kg
Answer:
Step-by-step explanation:
1st one is 62.5 kilogramic meter
2nd one is 1 kilo kilogram/cubic meter
Step-by-step explanation:
1)First calculate the volume
v=Pir²h
v=3.15×4²×4
v=201mm³
p=m/v
p=0.250/0.201
p=1.24Kg/m³
2)v=3/4pi r³
v=3/4×3.14×2³
v=33.5m³
p=m/v
p=2/33.5
p=0.0597kg/m³
The length and breadth of a rectangle are in a 15 : 11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.
Answer:
g
Step-by-step explanation:
Answer:
Perimeter of rectangle = 728 cm
Step-by-step explanation:
Length : breadth = 15 : 11
Length = 15x
Breadth = 11x
15x - 11x = 56 cm
4x = 56
x = 56/4
x = 14
Length = 15 *14 = 210 cm
Breadth = 11 * 14 = 154 cm
Perimeter of rectangle = 2 * ( length + breadth)
= 2 *(210 + 154)
= 2 * 364
= 728 cm
5. Do this without using a calculator
Calculate 39 × 63 + 39 × 37
A. 3,510. B. 3,900. C. 4,290. D. 97,812
Answer:
3900
Step-by-step explanation:
Not really sure how to explain this one.
A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true?
The range is 34.
The range is 34.
The mode is equal to the mean.
The mode is equal to the mean.
The mean is greater than the median.
The mean is greater than the median.
The distribution curve is skewed to the right.
Answer:
The correct option is;
The distribution curve is skewed to the right
Step-by-step explanation:
The given parameters are;
The mean = 58
The outlier = 92
Given that the outlier, P, can be found from the following formula, we have;
P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)
92 > (Q₃ + 1.5 (Q₃ - Q₁)
Given that mean = 58
Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Help meee pleaseeeeeee :(
Answer:
I am pretty sure its D
Step-by-step explanation:
If u want to be sure tho search up the dilation scale factor on Google:)
Simplify the expression.
74÷(32)
A. −218
B. 218
C. 76
D. −76
Answer:
Simplify the expression.
Exact Form:
37
16
Decimal Form:
2.3125
Mixed Number Form:
2
5
16
3.46x + 6.38 = -4 the answer
Answer:
x = -3
Step-by-step explanation:
start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.
Plzs help I give u BRAINLIST
Answer:
$30,170.36
Step-by-step explanation:
I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.
A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4
in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?
Answer:
x=34
Step-by-step explanation:
If you put Y and X into a ratio then it will be
5:2
because since their GCF is 11, then we will have to divide both of the numbers by 11.
If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.
That will get you 34.
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
Answer:
V = 19200 - 12m
Step-by-step explanation:
The pool contains 19200 gallons of water.
Now we are told that water drains from the pool at the rate of 12 gallons per minutes.
Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.
Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.
Thus, total volume V left after m minutes can be expressed as;
V = 19200 - 12m
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?
Answer:
20 hours
Step-by-step explanation:
Let x = number of hours
Jordan
Allowance = $10
Pay per hour = $7
Total = 10 + 7x
Alex
Allowance = $20
Pay per hour = $6.50
Total = 20 + 6.50x
Equate total of Jordan and Alex earnings
10 + 7x = 20 + 6.50x
Collect like terms
10 - 20 = 6.50x - 7x
-10 = - 0.5x
Divide both sides by - 0.5
x = -10 / -0.5
= 20
x = 20 hours
Jordan and Alex will both work for 20 hours to have the same amount of money in a week
Mrs. Bartz was going shopping for Halloween Candy for her first grade class. If
a bag of 25 Skittle's costs $4.00, how much would one bag of Skittles cost?
Answer:
The answer is 0.16
Step-by-step explanation:
because if you add .16 25 times or if you see the other answers it cant be 6.25 or 1.05 you think it could be 0.82 but its not
Answer:
0.16
Step-by-step explanation:
How do you write 8.43 × 10^-4 in standard form?
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday , 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?
Answer:
8 adult cats
Step-by-step explanation:
The ratio of adult cats to kitten at the pet care center was 5:2
No of adult cats= 5x
No of kitten cats= 2x
Since there were 12 kittens that day
2x= 12
x= 12/2
x= 6
Number of adult cats = 5x
= 5 × 6
= 30 adult cats
Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows
= 38-30
= 8 adult cats
Which could be the first step of an indirect proof of the conditional below?
If x2 = 25, then 5’2= 25 and x = 5,
A. Assume x=5 is true.
B. Assume 52 = 25 is true,
C. Assume x2 + 25 is true.
D. Assume 52.25 and x + 5 are true,
Answer
Option D
Step-by-step explanation
For further help (727) 335-8234
The first step of indirect proof of the conditional below
If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Conditions:
x² = 25 then 5² = 25 and x = 5
If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.
So,
We have to assume,
Step 1:
5² = 25
Step 2:
x = 5
Step 3:
x² = 25
Thus,
The first step of indirect proof of the conditional below
If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.
Option B is the correct answer.
Learn more about equations here:
https://brainly.com/question/27996921
#SPJ2
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In
this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.
Answer:
$20 <= X < = $21
Step-by-step explanation:
You are told that he loses by going over $21 or by buying all items and being less than $20.
That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.
If Mikel buys six bottles of shampoo, x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,
$20 <= X < = $21
5. 27a3+216b3 ???
tomorrow is the submission :(
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
Please help me i can’t get this one right. someone help me please if you know how to do this.
Answer:
it’s going up by 3 boys per girl!
Step-by-step explanation:
Correct me if I’m wrong by commenting down below.
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2