Answer:
Below in bold.
Step-by-step explanation:
a) we need the grestest common factor of theses values
153 = 3 * 3 * 17
255 = 3 * 5*17
357 = 3 * 7 * 17
The GCF = 3 * 17 = 51.
a) the least possible number of children is 3.
b) The maximum number is 51 ( as 51 is the GCF of the given values).
c) the least possible number of fruits is when b) occurs, that is:
153/51, 255/51 and 357/51
= 3 apples , 5 oranges and 7 pears.
d) the maximum number of fruits is :
153/3, 255/3 and 357/3
= 51 apples , 85 oranges and 119 pears.
Answer:
a) 3 children
b) 51 children
c) 3 apples, 5 oranges and 7 pears
d) 51 apples, 85 oranges and 119 pears
Step-by-step explanation:
lnc - Least possible number of children in group
mnc - maximum possible number of children in group
a - Apples
o - Oranges
p - Pears
a = 153
o = 255
p = 357
a)
To solve this, find the highest divisor for the apples, oranges and pears.
[tex]a = \frac{153}{51} [/tex]
[tex]a = 3[/tex]
[tex]o = \frac{255}{85} [/tex]
[tex]o = 3[/tex]
[tex]p = \frac{357}{119} [/tex]
[tex]p = 3[/tex]
In order for each child to get 51 apples, 85 oranges and 119 pears, there would need to be a minimum of 3 children in the group.
[tex]lnc \: = 3[/tex]
b)
To solve this, find the lowest divisor for the apples, oranges and pears.
[tex]a = \frac{153}{3} [/tex]
[tex]a = 51[/tex]
[tex]o = \frac{255}{5} [/tex]
[tex]o = 51[/tex]
[tex]p = \frac{357}{7} [/tex]
[tex]p = 51[/tex]
In order for each child to get 3 apples, 5 oranges and 7 pears, there would need to be a maximum of 51 children in the group.
[tex]mnc = 51[/tex]
c)
In a group of 51, each child will get:
- 3 apples
- 5 oranges
- 7 pears
d)
In a group of 3, each child will get
- 51 apples
- 85 oranges
- 119 pears
Please Help With This!!!
Will try to give out brainliest!!!
Answer: [tex]2^4,4^2,16^1[/tex]
Step-by-step explanation:
Let's evaluate each expression
Remember the little number that is the exponent means to multiply that number by itself that amount of times
[tex]8^2=[/tex]8×8=64 this is not 16
[tex]2^4=[/tex]2×2×2×2=4×4=16
[tex]2^8[/tex] we already know [tex]2^4[/tex] was enough so this must be over 16 and incorrect
[tex]4^2=[/tex]4×4=16
[tex]16^1[/tex]=16
Write a statistical question that you might ask to gather information about the recycling habits of your neighbors
Answer:
How often do you recycle?
Step-by-step explanation:
Statistical questions are questions where results may vary meaning that depending on who you ask this question you can get very different but measurable answers.
Identify the radius, height, and diameter of the cylinder.
30 in.
12 in
Radius:
inches
Height:
inches
Diameter:
inches
Answer:
Radius: 12 inches
Height: 30 inches
Diameter: 24 inches
Step-by-step explanation:
Radius: 12 inches
Height: 30 inches
Diameter: 24 inches
i need help its 7th grade area surface
Answer:
729 square inches
Step-by-step explanation:
9^3 or 9×9×9
(im not sure but i think thats it)
can someone please help with This !
Answer:
A. E
B. D
C. A
Trust me on this one! I used a calculator.
Lilly has two cousins. One of the cousins is 7 years older than Lilly. The other cousin is 3 years younger than Lilly. The product of Lilly’s cousins' ages is 24. How old is Lilly?
Determine the area of the shaded region. Pool Use 3 for
[tex]\pi[/tex]
Answer:
36 sq in
Step-by-step explanation:
First find the area of the square: 12*12 = 144 in^2
next find the area of 1 circle, im assuming the circles are tangent to the sides of the square and to each other, so each circle has a radius of 12/4 or 3in, the area of each circle is then pi*3^2 or 27 in^2
the total area of the 4 circles is then 27*4 = 108in^2
144-108=36in^2
Write a multiplication expression that can be used to solve 2/3a = 30.
a=45
Solution:We need to multiply both sides by 3 in order to get rid of the denominator, 3:2/3a•3=30•32a=90Divide both sides by 2:a=45Hope it helps.
Do comment if you have any query.
. . . .. . . ................................
Answer:
4 1/10
Step-by-step explanation:
:) Hope this helps
52.5% rounded to 1 decimal point
Help soon, Zearn is bad at explaining lol
hey...
hope it really helps...!!!
A 2-column table with 6 rows. the first column is labeled week with entries 1, 2, 4, 6, 8, 10. the second column is labeled miles run with entries 5, 8, 13, 15, 19, 20. rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation of the line of best fit for the data? state each number to the thousandths place. y ≈ x
The line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x
How does linear regression works?Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.
The following data for the Week and miles run variables are provided to construct linear regression model:
Week miles run
1 5
2 8
4 13
6 15
8 19
10 20
The independent variable is Week(represented by x), and the dependent variable is miles run(represented by y). In order to compute the regression coefficients, the following table needs to be used:
Let week = x, and miles run = y, then we get this table:
x y xy [tex]x^2[/tex] [tex]y^2[/tex]
----------------------------------------------------
1 5 5 1 25
2 8 16 4 64
4 13 52 16 169
6 15 90 36 225
8 19 152 64 361
10 20 200 100 400
-----------------------------------------------------
Sum = 31 80 515 221 1244
Based on the above table, the following is calculated:
[tex]\bar X = \frac{1}{n} \sum_{i=1}^{n} X_i = \frac{ 31}{ 6} \approx 5.167[/tex]
[tex]\bar Y = \frac{1}{n} \sum_{i=1}^{n} Y_i = \frac{ 80}{ 6} \approx 13.33[/tex]
[tex]\large SS_{XX} = \sum_{i=1}^{n} X_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right)^2 = 221 - 31^2/6 \approx 60.833[/tex]
[tex]\large SS_{YY} = \sum_{i=1}^{n} Y_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} Y_i\right)^2 = 1244 - 80^2/6 \approx 177.33[/tex]
[tex]\large SS_{XY} = \sum_{i=1}^{n} X_i Y_i - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right) \left(\sum_{i=1}^{n} Y_i\right) = 515 - 31 \times 80/6 \approx 101.67[/tex]
Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:
[tex]m = \frac{SS_{XY}}{SS_{XX}} \approx \frac{ 101.67}{ 60.833} \approx 1.6712[/tex]
[tex]n = \bar Y - \bar X \cdot m = 13.33- 5.167 \times 1.6712 = 4.6986[/tex]
Therefore, we find that the regression equation is:
miles run = 4.6986 + 1.6712 Week
y = 4.6986 + 1.6712x (approximately)
To the thousandths place, it becomes:
y = 4.699 + 1.671x
Therefore, based on the information provided above, the following scatter plot and regression plot are obtained as the image attached below.
Thus, the line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x
Learn more about linear regression here:
https://brainly.com/question/18854090
Answer:
y-1.671
4.699
Step-by-step explanation:
please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the radius of circle s is point,radius,arc,
PLEASEEE HELP!!! 20 POINTSS
Answer:
Option c
Step-by-step explanation:
-7 + (19 + 5) = (-7 + 19) + 5
LHS = -7 + (19+5)
= -7 + 24
= 17
RHS = (-7 + 19) + 5
= 12 + 5
= 17
LHS = RHS
associative property of addition: When three or more numbers are added, the result remains same regardless how the numbers are grouped
Answer:
C
Step-by-step explanation: I think it is right but I don't know I am sorry if I get it wrong!
a school contains 583 pupils. if there are 37 girls than boys, find the number of boys.
Answer:
[tex]583 - 37 = 546[/tex]
Answer:
546
Step-by-step explanation:
subtract the numbers Frome each other
If there are two angles that are supplementary, and the first angle has a measure of 137°, what is the measure of the second angle? A. 43 degrees B. 90 degrees C. 72 degrees
Answer:
Step-by-step explana what grade math is this?
Please answer:
Evaluate.
Answer:
6
Step-by-step explanation:
Permutation formula:
nPr=(n!)/(n-r)!
applying the formula
3P3= (3!)/(3-3)!
3!/0!
6/1
6
A line chart that has no axes but is used to provide information on overall trends for time series data is called a ________.
Answer:
sparkline
Step-by-step explanation:
A line chart that has no axes but is used to provide information on overall trends for time series data is called a sparkline.
if p=1(l+b), express b in terms of p and l:b=
Step-by-step explanation:
=> p=1(l+b)
=> P = 1l + 1b
=> 1l - P = 1b
=> b = 1l - P/1
~Done~
Or
p=1(l+b)
Step 1: Flip the equation.
b+l=p
Step 2: Add -l to both sides.
b+l+−l=p+−l
b=−l+p
Answer:
b=−l+p
The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?
Answer:
so the answer is tyrany because i love to talk aboutheaarts so this is waht happened
Step-by-step explanation:
Find the distance between the two points. (3,4) ✓ [?] (-2,-1) Enter the number that goes beneath the radical symbol.
The distance between the points (3,4) and (-2,-1) is found being 5√2 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We've to find the distance between two points
(p,q) = (3,4)
and (x,y) = (-2, -1)
We get it as:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\D = \sqrt{(-2-3)^2 + (-1-4)^2} \\\\D = \sqrt{5^2 + 5^2} = 5\sqrt{2} \: \rm units[/tex]
Thus, the distance between the points (3,4) and (-2,-1) is found being 5√2 units.
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ1
giving brainlist for correct answers =}
Answer:
Step-by-step explanation:
the answer is uniform
Answer:
Skewed right :)
Step-by-step explanation:
The most data points are to the left and there is barely any to the right. That is why it is skewed right :)
Have an amazing day!!
Please rate and mark brainliest!!
Credits to: hautauv!!!
Brianna was offered a job that paid a salary of $77,000 in its first year. The salary
was set to increase by 2% per year every year. If Brianna worked at the job for 5 years,
what was the total amount of money earned over the 5 years, to the nearest whole
number?
Answer:776
Step-by-step explanation:
77
Brianna earned a total of approximately $400,652 over the 5 years.
What is an expression?A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.
To find the total amount of money Brianna earned over 5 years, we need to calculate her salary for each of the 5 years and add them up.
In the first year, Brianna's salary was $77,000.
In the second year, her salary increased by 2%, so it became:
$77,000 + 0.02 x $77,000 = $78,540
In the third year, her salary increased by another 2%, so it became:
$78,540 + 0.02 x $78,540 = $80,106.80
In the fourth year, her salary increased by 2% again, so it became:
$80,106.80 + 0.02 x $80,106.80 = $81,700.94
In the fifth and final year, her salary increased by 2% once again, so it became:
$81,700.94 + 0.02 x $81,700.94 = $83,303.11
To find the total amount of money Brianna earned over the 5 years, we just need to add up her salaries from each year:
$77,000 + $78,540 + $80,106.80 + $81,700.94 + $83,303.11 = $400,651.85
Therefore, Brianna earned a total of approximately $400,652 over the 5 years.
To know more about an expression follow
https://brainly.com/question/14298982
#SPJ2
Which description compares the vertical asymptote(s) of Function A and Function B correctly?
Function A: f(x) = 1/x-1
Function B: (see photo)
A. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x = 0.
B. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x=−3.
C. Function A has a vertical asymptote at x=−1.
Function B has a vertical asymptote at x=−3.
D. Both functions have the same vertical asymptote.
Answer:
B. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x=−3.
Step-by-step explanation:
You can see from the diagram that the asymptope is x = -3, but to find the asymtope for the function make denominator equal to 0 and solve because the denominator can never equal 0, (you divide a number by 0, which is mathematically impossible) therefore the function will never reach that line.
Which
group of numbers is listed from least to
greatest?
Answer:
option 4
using absolute value, the 2 line thing (||) the order would be 2,3,5,7,9 which is least to greatest
What is the average high temperature forecast for the five days 55, 57, 60,45,50
Answer:
53.4
Step-by-step explanation:
We first do
55 + 57 + 60 + 45 + 50
55 +57 + 45 + 110
57 + 100 + 110
57 + 210
267
Now we do 267 divided by 5.
This is 53.4
On Monday night, you have 2 hours of homework. On Tuesday night, you have 3
hours of homework! What is the percent of change in your homework amount
between Monday and Tuesday?
Answer:
New value - Old value / Old value (I memorize it as NOO)
3-2/2
1/2 convert to a percentage = 50 percent
5 5/8 as an improper fraction
The improper fraction is 45/8.
Answer:
45/8
Step-by-step explanation:
to get an improper fraction, you multiply the denominator by the whole number and add the numerator to the total. So for this problem 5(8)=40+5= 45/8
A music store charges for lessons
according to the table below. If the store
charges a constant rate of dollars to time,
which of the following could fill the empty
row?
Time (min) Cost
a. 50 minutes for $40
o Yes O No
b. 60 minutes for $42
o Yes No
c. 70 minutes for $56
o Yes No
d. 90 minutes for $72
o Yes No
Rate of change:-
(30,24)(40,32)Slope:-
m=32-24/40-30m=8/10=4/5So
Next time is off course 50 .
Price should be calculated
y=50(4/5)=10(4)=40Option A✓
Check all
Option B:-
42=(4/5)(60)42=4(12)No
Option C
56=4/5(70)56=4(14)yes
Option D
72=4/5(90)72=4(18)Yes
Find the circumference and area of a circle with diameter 4 cm.
HELP ASAP PLS
Step-by-step explanation:
the formulas can be easily found on the internet.
remember, the diameter of a circle is 2 times the radius.
so, the radius of our circle here is 4/2 = 2 cm.
circumference :
2×pi×r = 2×3.14×2 = 12.56 cm
area :
pi×r² = 3.14×2² = 3.14×4 = 12.56 cm²
hey, your teacher gave you the circle, where the circumference and the area have the same quantity ! funny !
so, make double sure you use the correct unit dimensions (remember, a distance has only one dimension, an area has 2 dimensions, and a volume has 3 dimensions).