If there are 12 members at a conference and they all shook hands with each other both before and after the meeting, then there were 132 handshakes.
The number of handshakes before and after the meeting between 12 members can be found by using the combination formula.
The combination formula can be given by :
Number of combinations = n! / r! ( n - r)!
Here, n = total number of items in the set
r = number of choosing items from the set
In this problem, n = 12 and r =2 for finding the number of handshakes before the meeting
Therefore,
number of combinations = 12! / 2! ( 12 - 2)!
number of combinations = 12! / 10! × 2!
number of combinations = 66
Hence, there were 66 handshakes before the meeting. To find the number of handshakes both before and after the meeting:
number of total handshakes = 66 × 2 = 132
Hence the number of handshakes before and after the meeting is equal to 132.
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Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
A. 36
B. 64
C. 144
D. 192
Answer:
a
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Match each problem to its solution. 8 8.2 9 56.25 Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn? arrowRight Jessica purchased items worth $41.23 at the local grocery store. The cashier made a mistake while ringing up her items, and Jessica ended up paying $50.23. How many extra dollars did she pay? arrowRight Josie has 20 meters of cloth. She needs to make long-sleeved blouses with that cloth. If one long-sleeved blouse requires 2.5 meters of cloth, how many blouses can she make with the material? arrowRight Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh? arrowRight
Answer:
[tex]\$56.25[/tex]
[tex]\$9[/tex]
8
[tex]8.2\ \text{pounds}[/tex]
Step-by-step explanation:
Jonah earns $12.50 per hour
He works for 4.5 hours
Amount he earned
[tex]12.5\times 4.5=\$56.25[/tex]
Amount Jonah earned is [tex]\$56.25[/tex].
Items worth is $41.23
Amount paid is $50.23
Extra amount paid
[tex]50.23-41.23=\$9[/tex]
Jessica paid [tex]\$9[/tex] extra.
Length of cloth available is 20 m
Length of one long-sleeved blouse is 2.5 m
Number of blouses that can be made
[tex]\dfrac{20}{2.5}=8[/tex]
Number of blouses that can be made from the material is 8.
Potatoes weight is 3.2 pounds
Oranges weight is 2.3 pounds
Onions weight is 2.7 pounds
Total weight of the purchase
[tex]3.2+2.3+2.7=8.2\ \text{pounds}[/tex]
The weight of the purache is [tex]8.2\ \text{pounds}[/tex].
Answer:
Jonah - 56.25
Jessica - 9
Josie - 8
Jeremy - 8.2
Step-by-step explanation:
I got this answer correct on my test for edmentum
Write y=−4x−3 in standard form . ( I'LL MARK BRAINLIEST)
Answer:
4 x + y = − 3
Step-by-step explanation:
Which expression is equivalent to 2(14x - 3y + 28x + 12.2 - 5y - 17.5)?
A: 84x - 16y - 10.6
B: 28x - 6y - 10.6
C: 42x - 8y - 5.3
D: 84x - 16y - 5.3
Answer:the answer is a
Step-by-step explanation:
The expression 2(14x - 3y + 28x + 12.2 - 5y - 17.5) is equivalent to the expression 84x - 16y -10.6 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 2(14x - 3y + 28x + 12.2 - 5y - 17.5)
= 28x - 6y + 56x + 24.4 - 10y - 35
Adding like terms
= 84x - 16y -10.6
Thus, the expression 2(14x - 3y + 28x + 12.2 - 5y - 17.5) is equivalent to the expression 84x - 16y -10.6 option (A) is correct.
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A recipe requires 4 half sticks of butter for every 5 eggs.
Which ratio of half sticks of butter to eggs will make the same recipe?
15:12
32:35
12:20
20:25
Answer:
20 : 25
Step-by-step explanation:
20 : 25 maintains the ratio of 4 : 5.
If both 4 and 5 are multiplied by a factor of 5,
you get the numbers 20 and 25 respectively.
3 – х = 11
What's x?
Answer: x=-8
Step-by-step explanation:
3-x=11
-3 -3
-x=8
/-1 /-1
x=-8
Answer:
The answer is -8
Step-by-step explanation:
u would
It was 11:20 P.M. when Harry looked at his watch. 50 minutes later, he looked at his watch again. What time did his watch read?
Answer:
12:10 a.m.
Step-by-step explanation:
how many solutions does the following equation have?
4(2x+3)-7=8x+5
a- infinite
b- no solution
c- one solution
PLEASE HELP (80 points!!)
What if the following are equivalent to x^2/5 (more than once answer)
Answer:
[tex]\sqrt[5]{x^2}[/tex] and [tex](\sqrt[5]{x} )^2[/tex]
Step-by-step explanation:
They are both correct.
Answer:
A, and B
Step-by-step explanation:
The reason why is because, 2 is still on x. Therefore, while 5 represents the division it stays up in the top left corner.
Given:
p: 20-5=5
q:40-6=14
P 9
Write the contrapositive in if-then form.
If 2 -5=5, then 4x -6=14.
If 4x--6=14, then 2x-5=5.
If 2x -- 5≠5, then 4x--6≠14.
If 4x - 6≠14, then 2x - 5≠5.
Answer:
We conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.Step-by-step explanation:
We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".In other words, it is symbolically represented as:
' ~q ~p is the contrapositive of p q 'For example, the contrapositive of "If there is a snow outside, then they cancel the event" is "If they do not cancel the event, then it would not be snow outside."
Given
p: 2x -5=5q: 4x-6=14As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p
Therefore, we conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.If using the method of completing the square to solve the quadratic equation
x2 + 11x + 30 = 0, which number would have to be added to "complete the
square"?
Answer:
The number to add is (11/2)^2 = 121/4
Step-by-step explanation:
Here, we want to know the number that will complete the square
We rewrite the equation as follows;
x^2 + 11x = -30
x^2 + 11x + (11/2)^2 = -30 + (11/2)^2
x^2 + 11x + 121/4 = -30 + 121/4
help please i need this answer assapappa
Step-by-step explanation:
the answer is 120 correct
If –3p – 2 (6 – p) > -7, then which statement is true?
Answer:
-5
Step-by-step explanation:
5 times the difference of 6 and 3
expression
Answer: The expression is 5 x (6 - 3)
Step-by-step explanation:
which of the following is an example of a terminating decimal. 1. 1/4 2.1/3 3. 4/9 4. 1 2/3
Answer: Actually the answer would be the first one.
Step-by-step explanation:
All the answers except #1 have repeating decimals
There are 5280 feet in a mile and 60 minutes in an hour (needless to say). How fast is a car going 30 miles per hour traveling in feet per minute?
(Please help me)
Answer:
2640 feet in a minute.
Step-by-step explanation:
Since the car is going 30 miles per hour, and there are 5280 feet in one mile, you would multiply 30 by 5280.
30 * 5280 = 158400
So 154800 feet = 30 miles.
Since you want to find out how fast a car going 30 miles per hour is traveling in feet per a minute, you would divide 154800 feet by 60, since there are 60 minutes in an hour.
154800 / 60 = 2640.
So 2640 feet in a minute.
If you want to check this, you can do 2640 * 60, which indeed equals 154800.
Hope this helps.
You want to purchase a new bike that costs $142.68. To save for the bike, you mow your neighbor's yard for $40 each week. How much money will you have left over if you buy the bike after saving for 4 weeks?
The amount of money left after purchasing the bike is $17.32
How to calculate the amount of money left ?The cost of the new bike is $142.68
I need to save for the new bike and i decided to mow the neighbour's yard
The money paid is $40, this will be done for 4 weeks
At the end of the four weeks, the money i will get can be calculated as follows
= 40 × 4
= 160
To calculate the money left, let's subtract the cost of the bike from 160
= 160 - 142.68
= 17.32
Hence the amount of money left after buying the bike is $17.32
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Help please, I will give brain list
brianna’s cars traveled 106 miles on 3/6 of a tank of gas how far will she be able to go on a full tank of gas ?
Answer:
212
Step-by-step explanation:
106•2
Answer:
212miles
Step-by-step explanation:
3/6 =1/2 of a tank of gas
1/2+1/2=1 tank of gas
106+106=212miles
A student was given two data sets, Set A and Set B. Which of the following statements is true?
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
[tex]1 \frac{3}{16}[/tex] inches
Step-by-step explanation:
[tex]3 \frac{3}{4} - 2 \frac{9}{16}[/tex]
Convert into improper fractions:
[tex]3 \frac{3}{4} = \frac{15}{4}[/tex] and [tex]2 \frac{9}{16} = \frac{41}{16}[/tex]
LCD is 16 so multiply 15/4 by 4/4 to get 60/16
60/16 - 41/16 = 19/16 = [tex]1 \frac{3}{16}[/tex] inches
Pleaseeeeeeee help me 7th grade math
Answer: -34
Step-by-step explanation:
first step: subtract 22 from both sides
+n=-12-22
n=-34
Answer:
-34
Step-by-step explanation:
Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.
Helpppppp meeeee .......
Answer:
.......
B is the answer ......
Roger's gym class is running a relay race. Each team of 4 students runs a total of 1.6 kilometers. If every student runs the same distance, how many meters does Roger run?
(Remember you need to multiply and divide)
Answerapples
Step-by-step explanation:
Answer:
400 meters
Step-by-step explanation:
Instructions to care for a plant say to water it with 3/4 cup of water every day. The plant has been getting 25% too much water. How much water has the plant been getting? PLZZZZZZZ HELP ME!!
Answer: 0.9375 or 15/16 cup of water
Step-by-step explanation:
The plant has been getting 25% too much water which means that it has been getting 25% more than 3/4.
= 25% * 3/4
= 0.1875 cup of water
Water plant has been getting;
= 3/4 + 0.1875
= 0.9375 or 15/16 cup of water
Evaluate 8j - k+14 when j=0.25 and k=1
Answer:
(8)(0.25)−1+14
=15
Step-by-step explanation:
A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Represent this situation with a fraction.
a. Represent this situation using the same units.
b. Estimate the quotient.
c. Express the divisor as a whole number.
d. Use the division algorithm to find the quotient.
e. Use multiplication to check your work
Answer:
The correct answers are:
a) 3625.26 miles OVER 6.9 miles
b) 36252.6 tenths miles÷ 69 tenths hours
c) 3500 miles over 7 hours = 500 miles over hours
d) 3625.26 miles 10 over 6.9 hours 10 = 36252.6 miles over 69 hours
e) 525.4 miles/h
Step-by-step explanation:
Brainliest please?
Let r = unit rate of the plane
r = (3,625.26 miles)/(6.9 hours)
You now have the correct fraction set up to answer a through e.
Take it from here.
convert the following decimal to a percentege!!!!!! brainlest too
0.0861=
0.6129=
0.1486=
0.20=
Answer:
8.61%
61.29%
14.86%
20%
Step-by-step explanation:
Trinity's car gets 26.5 miles per gallon of gas. Trinity is taking a trip that requires 14 gallons of gas. Which of the following best represents the number of liters of gasoline the trip will require? ( 1 gal ≈ 3.79 liters)
Which number line shows the solution of 6x- 12>-6?
Answer:
The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality, \dfrac{y}{x}
x
y
start fraction, y, divided by, x, end fraction ?
Step-by-step explanation:
Answer: Option A
Step-by-step explanation:
6x - 12 > -6
6x > 6
x > 1