A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. !e sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?
Answers
There are 8 sandwiches were ordered.
What is Simplification?
Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
Total number of people = 18
Total lunches = 18
And total price = $113.50.
Let there are x number of sandwiches,
And y number of soups.
Also given that,
Cost of one sandwich = $7.75
And cost of one soup = $4.50
Cost of x sandwiches = 7.75x
Cost of y soups = 4.50y
7.75x + 4.50y = 113.50 (1)
x + y = 18 (2)
By solving equation (1) and (2),
x = 8 and y = 10
The required number of sandwiches are 8.
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My justification fir wirting the equation like this is beacuse the total equals how many people ate over all minus how many people ate the soup. (X=18-y) y=soup x=sandwiches
81-4.5y+7.75y=113.5
We distributed
Now its time to combine like terms.
3.25y+81=113.5
I only subtracted beacuse the 4.5 was negative
Subtract 81 from both sides
3.25y=32.5
Divide by 3.25 on both sides
Y=10
Now that we have that we insert it back into the equation
x=18-(10)
So x=8
Basically, 8 sandwiches were ordered :D
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____ x ____ = -96 ____ ÷ ____ = -96
Answers
A possible pair of numbers to complete the second equation is (-8) and 12.
To find different pairs of numbers from the list to complete the equations:
____ x ____ = -96
We can start by listing the factors of -96, which are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±32, ±48, ±96.
Since the product of two negative numbers is positive, we need to find two numbers with opposite signs to get a product of -96. The factors of -96 that have opposite signs are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24.
We can then try different combinations of these factors until we find a pair of numbers that multiply to -96. One such pair is (-8) and 12:
(-8) x 12 = -96
So, one possible pair of numbers to complete the first equation is (-8) and 12.
Next, we need to find different pairs of numbers from the list to complete the equation:
____ ÷ ____ = -96
We can start by dividing -96 by each of the given numbers in the list to see if we get an integer result:
-96 ÷ 24 = -4
-96 ÷ (-12) = 8
-96 ÷ (-3) = 32
-96 ÷ (-4) = 24
-96 ÷ (-48) = 2
-96 ÷ (-6) = 16
-96 ÷ 2 = -48
-96 ÷ (-8) = 12
We can see that the only pair of numbers that gives a quotient of -96 is (-8) and 12:
-96 ÷ (-8) = 12
Therefore, a possible pair of numbers to complete the second equation is (-8) and 12.
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Answers
Whenever you need to convert a temperature expressed in celsius degrees to fahrenheit degrees, you have to use the following formula:
So, if we plug the celsius temperature of -10, we get
Answers
Answer:
0.8594
Step-by-step explanation:
Let a denote the event of forgetting to shut off machine and b be the event of being defective.
-A foreman forgets to shut off machine 55% of the time.
-If he forgets, 15% of molds are defective.
-If he does not, 3% of molds are defective.
#The probability that he forgot to shut off the machine is calculated as:
P(a and ~b)=0.55(1-0.15)=0.4675
P(~a and b) = (1-0.55)*0.03=0.0135
P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365
#Conditional probability is defined as:
Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594
Answers
1 millimeter equals 0.001 meters, so we can multiply the meters by 1000.
0.001 × 1000 = 1
Therefore, 1 meter is in 1000 millimeters.
The conversion of 1000 millimeters to meters is: 1 meter
How to carry out unit conversion?
There are different methods of unit conversion such as:
gram to kilogram
centimeter to meter
liters to centiliters
Newtons to kilonewtons
Now, we want to find out how many meters are in 1000 millimeters.
We know that:
1 millimeter = 0.001
Thus:
1000 millimeter = 1000 * 0.001/1
= 1 m
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B. a number greater than 4
C. a multiple of 3
D. an even number
Answers
(desired outcomes)/(total possible outcomes)
total possible is 8 since 8 total spaces
A. number les than 4, there are 3 numbers (1,2,3) so
3/8 os probability
B. number greater than 4, ther are 4 (5,6,7,8), so 4/8=1/2 is probability
C. multiplule of 3, there are 2 (3,6) so 2/8=1/4 is probability
D. even number, there are 4 (2,4,6,8) so 4/8=1/2 is probability
A. 3/8
B. 1/2
C. 1/4
D. 1/2
Thanks :)
Answers
Answer:
Violet and blue light have the shortest wavelengths and red light has the longest. Therefore, blue light is scattered more than red light and the sky appears blue during the day. When the Sun is low in the sky during sunrise and sunset, the light has to travel further through the Earth's atmosphere.