Luke, Kira and Ali each served 2/3 of their own cake. Each cake was the same size, but luke served 4 slices, Kira served 6 slices and Ali served 8 slices. How is this possible?
Answer:
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
Step-by-step explanation:
It's possible because they cut cakes into different number of slices.
You know that Luke, Kira and Ali each served [tex]\frac{2}{3}[/tex] of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.
Being x the whole slices of cake, and if Luke served [tex]\frac{2}{3}[/tex] of his cake, which are 4 slices, the whole slices of cake of Luke is:
[tex]\frac{2}{3}*x=4 slices[/tex]
Solving:
x= 4 ÷[tex]\frac{2}{3}[/tex]
x= 6
Then, whole slices of Luke's cake is 6.
Performing the same approach for Kira you get:
[tex]\frac{2}{3}*x=6 slices[/tex]
x= 6 ÷[tex]\frac{2}{3}[/tex]
x= 9
Then, whole slices of Kira's cake is 9.
Finally, performing the same approach for Ali you get:
[tex]\frac{2}{3}*x=8 slices[/tex]
x= 8 ÷[tex]\frac{2}{3}[/tex]
x= 12
Then, whole slices of Ali's cake is 12.
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
help and get brainliest!!!
Answer:
a
Step-by-step explanation:
Help me find y intercept, slope, and linear function
Answer:
y=5 m=3
Step-by-step explanation:
i mean it shows you the y intercept and the slope and the linear function all in that one picture
Answer:
y-intercept = 5
slope = -1/3
Step-by-step explanation:
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44
I need help with 3/1 2 - 1/1 3
Answer:3/
1
Step-by-step explanation: 0 < 2 < 3 = 3
0 is less than 2 is less than 3 is equal to 3
0/
1
< 2/
1
< 3/
1
= 3/1
h o p e i t h e l p s O_O
Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.
There are 2 sketches in case you need more room.
`-3x+y=-2`
`y=4x`
Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8
Can someone help me find this answer: tan12=22/x Please explain the steps
Answer:
Solve the rational equation by combining expressions and isolating the variable.
x=47.04630109.
Step-by-step explanation:
Will mark brainliest if ur right! if not, u wont get it.
Answer:
(-4,4)
Step-by-step explanation:
I believe that's it
He pressure of a tyre is 32 pounds per square inch. Given 1 pound = 0.4536 kilograms 1 inch = 2.54 centimetres Work out the pressure in grams per square centimetre.
Step-by-step explanation:
1pound =0.4536kiligrams=,453.6grams
1square inch =2.54×2.54=6.4516
(32pounds/inch√2square
×453.6g)
(14515.2g/inch √2
÷6.4516)/6.4516
(2,262.34414)1cm√2
2262g/cm2
can someone please tell me the answer?
PLZ OFFERING HIGH POINTS
You kayak up a river at a rate of 36 feet every 30 seconds. You kayak 304 feet every 2 minutes on the way back down the river. How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river?
Answer:
400 feet
Step-by-step explanation:
on way up you travel 35 ft in 30 sec or 144 ft in 120 sec (2 min)
on way down you travel 304 ft in 120 sec (2 min)
the distance traveled for 5 minutes at rate from way 'up' is 360 feet
the distance traveled for 5 minutes at rate from way 'down' is 760 feet
difference is 400 feet
Answer:
400
Step-by-step explanation:
Sleepy
could someone help me out for number 5 please?
Answer:
she didnt multiply 5 times 12
please help if your able to (:
Answer:
4/9
Step-by-step explanation:
(2/3)^2 is another way of writing:
2/3*2/3
Which is 4/9
Hope this helps
Answer:
2/3*2/3 4/3
Step-by-step explanation:
-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER!!!!!
Answer:
9 cm
Step-by-step explanation:
1/3x3=1
10-1=9
[tex]7 {x}^{3} + 4x - 5 + 8 {x}^{5} [/tex]
What is the degree of the polynomial?
A. 0
B. 1
C. 3
D. 5
Answer:
D
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of a term within the polynomial.
Given
7x³ + 4x - 5 + 8[tex]x^{5}[/tex]
The term with the largest exponent is 8[tex]x^{5}[/tex] with exponent 5
Thus the polynomial is of degree 5 → D
The mean age of 5 people in a room is 26 years.
A person enters the room.
The mean age is now 33.
What is the age of the person who entered the room?
The mean age of 5 people in a room is 26 years. A person enters the room. the mean age is now 33 so the age of the person 68 who entered the room.
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
So According to the question, the Mean of 5 people in a room =26
When a person enters the room mean age becomes = 33
The sum of their age is = 5*6 =130
when other persons enter the room means the total person becomes =6
and the sum of their age after another person enters the room= [tex]x+130[/tex]
where x is the age of the other person entering the room.
so, mean = 33= (130+x)/6
then, 130+x=6*33
And,130+x=198
so,x=198-130 =68
For more information about the mean visit:
https://brainly.com/question/21903586
#SPJ1
The ratio of the measures of the three sides of a triangle is 1/4:1/3:1/6 and its perimeter is 31.4 centimetres find the length of the shortest side
Given:
The ratio of the measures of the three sides of a triangle is [tex]\dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}[/tex].
Its perimeter is 31.4 centimeters
To find:
The shortest side of the triangle.
Solution:
Let the measures of the three sides of a triangle are [tex]\dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x[/tex] respectively (in cm).
Its perimeter is 31.4 centimeters.
[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4[/tex]
[tex]\dfrac{3x+4x+2x}{12}=31.4[/tex]
[tex]\dfrac{9x}{12}=31.4[/tex]
[tex]\dfrac{3x}{4}=31.4[/tex]
On further simplification, we get
[tex]3x=4\times 31.4[/tex]
[tex]3x=125.6[/tex]
Divide both sides by 3.
[tex]x=\dfrac{125.6}{3}[/tex]
[tex]x=41.867[/tex]
Now, the sides of triangle are
[tex]\dfrac{1}{4}(41.867)=10.467[/tex]
[tex]\dfrac{1}{3}(41.867)=13.956[/tex]
[tex]\dfrac{1}{6}(41.867)=6.978[/tex]
Therefore, the length of the shortest side is 6.978 cm.
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answer:D
Step-by-step explanation:
Brainliest to anyone who can answer and show working out :)
Answer:
d = 9
Step-by-step explanation:
solving for d
let's get ride of the fraction first so multiple the whole thing by 3
3= 1d - 6
add 6 to both sides
9 = d
easy peasy.
Linear system
x-y=9
X+2y=27
30-60-90 triangle.. find the value of x?
The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?
Answer:
The number of hours.
Step-by-step explanation:
The dependent variable is what you are mesuaring.
Scientists predict that there is a 0.8 chance that there will be an earthquake in San Francisco this year. How likely is that there will be an Earthquake?
Answer:
80%
Step-by-step explanation:
help mee pleaseeeeeeas
Answer:
Step-by-step explanation:
Volume = 1/2 a * b*h
So
V= 1/2 (9)(6)(21)= 567 us ^3
I have a D in math and need to bring my grade up!! Please help!! 32 pts!!!!
Help plz - 3/4 x - 2/5
Answer:
3/10
Step-by-step explanation:
PLEASE ANSWER ASAP !!!!
Answer:
probaly 2
Step-by-step explanation:
you have to figure out the slope.
y1 - y2/x1-x2
shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation
the total sale was neither a profit nor loss , 0%
Step-by-step explanation:
1st table :
100%-> 9900
110%-> 10890
10890-9900=990(earned)
------------------------------------------
2nd table :
100%->9900
90%-> 8910
9900-8910=990(lost)
990-990=0
hence the total sale was neither a profit nor loss , 0%
need help very fast pls
Answer:
Step-by-step explanation:
(0, -5) (5, 0)
(0 + 5)/(5 - 0)
5/5= 1
y + 5 = x - 0
y = x - 5