A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is the cost of each friend's meal.
The cost of each friend's meal in terms of a is
.
The cost of each friend's meal when the number of friends is 5 is $
The cost of each friend's meal in terms of a is 35/a.
The cost of each friend's meal when the number of friends is 5 is $7.
The cost of each friend's meal in terms of a is 35/a and the cost of each friend's meal when the number of friends is 5 is $7.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given the equation,
6 + ax = 41
Where a is the number of people and x is the cost of each friend's meal.
Now,
ax = 41 - 6
ax = 35
x = 35/a
So it will be the cost of each friend's meal in terms of a.
Now,
If the number of friends = 5
Then,
a = 5
So,
x = 35/5 = 7
Hence "The cost of each friend's meal in terms of a is 35/a and the cost of each friend's meal when the number of friends is 5 is $7".
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Solve the linear equation x-9=3/5x
Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply.
Answer:
The answers are numbers 1, 3, 5, and 6.
(-3,-2) (–1, –2) (1, –2) (1, 2)
Step-by-step explanation:
evaluate 10 + 8÷4 - 12
Julia left school and travel toward the train station. One hour later Carlos left traveling at 30 mph in an effort to catch up to Julia. After traveling for two hours Carlos finally caught up. Find Julie is average speed
Pattern x: Starts at 0. Rule: Add 3.
Pattern y: Starts at 0. Rule: Add 6.
The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0, 0) , (3, 6) , (6, 12) , and (9, 18) .
Which ordered pair also belongs to this pattern?
What was the purpose of the coordinate graphing system described by Descartes in his book Discourse on Method?
Answer:
A
Step-by-step explanation:
Carla’s credit card statement showed that she owed $350. She made a payment of $200, then she charged $23 for gasoline. She returned a sweater she had charged earlier for a refund of $35. Then she charged $15 at the bookstore. How much does she still owe?
A candy manufacturer says on its web site that it wants to reach a 60 : 40 consumer taste preference for new products.What do you think it means
A candy manufacturer wants to achieve a 60:40 consumer taste preference for new products, meaning they want 60% of consumers to prefer their new products and 40% to prefer other products.
Explanation:When the candy manufacturer says that it wants to reach a 60:40 consumer taste preference for new products, it means that they aim to have 60% of consumers prefer their new products, while 40% of consumers prefer other products.
For example, if they conducted a taste test and found that out of 100 consumers, 60 preferred their new products and 40 preferred other products, then they have achieved their desired consumer taste preference.
This ratio indicates the target market share the candy manufacturer hopes to capture for its new products.
The candy manufacturer wants 60% of consumers to prefer their new products over others.
Explanation:The candy manufacturer's statement about wanting to reach a 60:40 consumer taste preference for new products means that they aim to have 60% of consumers prefer their new products over other options, while 40% may still prefer other brands or flavors.
For example, if the company launches a new chocolate bar, their goal is to have 60% of consumers say that they like the new chocolate bar, while 40% may still prefer other chocolate bars or candies.
This ratio indicates the company's desired market share and the level of acceptance they are aiming for in order to consider their new products successful.
48 pounds of sand are are used to fill 12 bags, miranda uses the five step problem-solving plan. after completing the solving step how many pounds of sand should she find each bag will hold
Write and solve an inequality for each problem. Jorge’s soccer team is having its annual fundraiser. The team hopes
to earn at least three times as much as it did last year. Last year the
team earned $87. What is the team’s goal for this year?
Find P(3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)
Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.
What is the youngest age Julio can be?
Enter your answer in the box.
Answer:
11
Step-by-step explanation:
Eric had 2 liters of water. He gave 0.42 liter to his friend and then drank 0.32 liter. How much water does he have left? Helpppp
Answer:
1.26
Step-by-step explanation:
sence he had 0.42 and 0.32 pluss 2 you would get the answer
The number 75 falls between what two perfect squares?
The number 75 falls between the two perfect squares of 8 and 9.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
We know that square of the numbers from 5 to 10 will be given below.
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
From the above, the number 75 falls between the two perfect squares of 8 and 9.
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Consider the graph of the equation y = 5. Which statements are true? Check all that apply. The graph of y = 5 is a vertical line. The graph of y = 5 is a horizontal line. The graph of y = 5 is neither a vertical line nor a horizontal line. The point (5, 3) lies on the line. The point (–4, 5) lies on the line.
Answer:
B and E
Step-by-step explanation:
Got these right on Ed
Which transformations will produce similar, but not congruent, figures?
Select each correct answer.
Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square A"B"C"D".
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square A"B"C"D".
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square A"B"C"D".
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A"B"C"D".
Answer:
A, B and D
Step-by-step explanation:
Any Geometric figure whether translated (slid), rotated or reflected (flipped) maintains its size since those geometric transformations just dislocate, so they remain congruents. But when a square is dilated, the following outcome is a similar one.
So, in A, B, D we have similar figures, not congruent. In A, B we have smaller squares and in D we have a bigger one.
Alvin at 1/3 of a pizza for dinner and took 1/6 of it for lunch the next day . How much pizza does he have left
Find the sum of the partial products to evaluate each expression.
What would this be as an equation “You earn $0.85 for every cup Of hot chocolate you sell. How many cups do you need to sell to earn $55.25?” Please help
Kay buys 12 pounds of apples.Each pound costs $20 bills. How much will change should she receive
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
option 3
Step-by-step explanation:
[tex]f(x) = -|x -2| - 1[/tex]
The given equation is in the form of [tex]f(x) = a|x -h|+k[/tex]
where (h,k) is the vertex .
[tex]f(x) = -|x -2| - 1[/tex]
h=2 and k=-1 . the value of a=-1
Since the value of 'a' is negative so the graph will be upside down
option 3 is upside down and vertex at (2,-1)
So option 3 graph represents the function
A train consisting of 50 cars and 1 locomotive weighs a total of 4725 tons. the locomotive weighs 125 tons all the cars have the same weight. Find the weight of 1 car
How many whole 3/16 foot sections are in the 11/12 foot wooden board
Solve for T.
3t + 1 = 2t - 5
HELP ME PLEASE, ILL GIVE BRAINLIEST TO YOU Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −1 3/5 mg/L . It is estimated that the chloride concentration will change −2 1/15 mg/L the next year.
What is the total change that will likely occur in 2 years?
Enter your answer as a simplified mixed number in the box.
Answer:
- 3 8/15
Step-by-step explanation:
Use the digits 3,5,9 and 4 only once to make 2 addends whose sum is between 100 and 110.
The two numbers 59 and 43 whose sum is between 100 and 110.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Use the digits 3,5,9 and 4 only once to make 2 addends whose sum is between 100 and 110.
Then the two numbers will be given as,
⇒ 59 and 43
The two numbers 59 and 43 whose sum is between 100 and 110.
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If a = 3 and b = 2, what is the value of the expression 11 + a - b ?
What is the order of 75%, 1/3, 3/8, and 0.625 from least to greatest? Also, please please explain how to do it...I’m having trouble. Thanks!
To arrange the given numbers from least to greatest we convert the numbers to decimal form.
75% =0.75
(Percent means out of 100.The decimal is shifted two places left to convert percent to decimal)
[tex]\frac{1}{3} =0.33[/tex]
[tex]\frac{3}{8}=0.375[/tex]
0.625
The decimals from least to greatest are:
0.33,0.375,0.625,0.75.
The numbers arranged from least to greatest are:
[tex]\frac{1}{3},\frac{3}{8},0.625,75%[/tex]
Samuel recorded the number of different types of pets his friends have in the table shown below:
Cats 5
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table?
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 5 crosses, Dog has 3 crosses, Rabbit has 5 crosses, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 5 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 4 crosses, Dog has 2 crosses, Rabbit has 0 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Answer:
option: C is correct.
Step-by-step explanation:
We are given a information as:
Samuel recorded the number of different types of pets his friends have in the table shown below:
Cats 5
Dogs 3
Rabbits 1
Guinea Pigs 3
The plot based on this information will be:
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 5 crosses ( since it is observed that there were 5 cats) , Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Hence, option: C is correct.