Taking into account the definition of a system of linear equations, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:
[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]
where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns give the solution proposed in both equations.
System of equations in this caseIn this case, a system of linear equations must be proposed taking into account that:
G: number of games Kadeesha played.R: number of rides Kadeesha went on.On the other hand, you know:
Each game costs $2.50 and each ride costs $4.75. Kadeesha spent $48.75 altogether at the carnival. The number of games she played is twice the number of rides she went on.So, the system of equations to be solved is
[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]
Among the different existing methods to solve the system of equations, it is decided to solve it using the substitution method. This method consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first one you get:
2.50×2R+4.75R=48.75
Solving:
5R+4.75R=48.75
9.75R=48.75
R= 48.75÷ 9.75
R= 5
Remembering that G=2R, you obtain that G=2×5= 10
In summary, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:
[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]
where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.
Finally, the number of games played is 10 while the number of rides she went on is 5.
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Which is the value of this expression when m-3 and n=-5
Answer:
1/8
Step-by-step explanation:
(6m^-1n^0)^-3 =
= (6 × 1/3 × (-5)^0)^-3
= (6/3)^-3
= 2^-3
= 1/2^3
= 1/8
Have this question.. 5x-3y=14
A store has clearance items that have been marked down by 60% they are having a sale advertising an additional 30% off clearance items. What percent of the original price do you end up paying?
Each of the positive integers from 1 to 100 are written on a sheet of paper.
Some of these integers are erased. The product of those integers still on the paper leaves a remainder of 4 when divided by 5. Find the least number of integers that could have been erased.
Answer:
9 14 19 24 29 34 39 44 49 54 59 64 69 74 79 84 89 94 99
Point A is located at (2,-2) on the coordinate plane. Point A is reflected over the Y-
axis to create point A'. Point A' is then reflected over the x-axis to create point A".
What ordered pair describes the location of A"?
Answer: A''=(-2, 2)
Step-by-step explanation:
A' = (2, -(-2)) = (2,2) ==> the y-coordinate is negated when A reflects over the y-axis
A''=(-(2), 2) = (-2, 2). ==> the x-coordinate is negated when A reflects over the x-axis
A''=(-2, 2)
Can you please help me
Answer:
1) -√9
2) √18
3) |4.5|
Step-by-step explanation:
-√9 = -3
√18 = 4.2426406871 = 4.2
|4.5| = 4.5
↑
Absolute value - Those two lines mean that any number, positive or negative, will be positive.
Hope this helps :)
A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?
Answer:
Step-by-step explanation: 1x,2y
Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together. Determine the number of pennies in the number of nickels that Autumn has.
The number of pennies and nickels are 9 and 11 respectively.
How to find the number of pennies and nickels?Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together.
Therefore,
let
x = number of pennies
y = number of nickels
Hence,
x + y = 20
0.01x + 0.05y = 0.64
Multiply equation(i) by 0.01
0.01x + 0.01y = 0.2
0.01x + 0.05y = 0.64
0.04y = 0.44
y = 0.44 / 0.04
y = 11
Therefore,
x = 20 - 11
x = 9
Therefore, the number of pennies and nickels are 9 and 11 respectively.
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Whats 452 divided by 2 x 12?
answer : 452\12 ×2
452/24
18.83333333 answer
Is this a function or not. Then state domain and range. WILL GIVE BRAINLEIST
Answer:
Yes
Step-by-step explanation:
It is a function look at the numbers
7. The U.S. population in 2018 was estimated to be 327,200,000. Within that population, there were 30,357,000
people who were 18-29 years old and 52,431,000 people who were 65 years and older.
(a) According to the graphic, 85% of the 30,357,000 people who are 18-29 years old have tried vaping or
electronic cigarettes. Approximately how many people ages 18-29 said they have tried vaping or e-cigarettes?
Show your work.
(1 pt)
(b) Approximately how many people ages 65 and older said they have tried vaping or e-cigarettes? Show your
work.
(1 pt)
(c) Based on those estimates, how many more people ages 18-29 said they had tried vaping or e-cigarettes than
people ages 65 and older? Show your work.
(1 pt)
D
C
200 a
Given :
Data interpretation refers to the process of using diverse analytical methods to review data and arrive at relevant conclusions. The interpretation of data helps researchers to categorize, manipulate, and summarize the information in order to answer critical questions.
The importance of data interpretation is evident and this is why it needs to be done properly. Data is very likely to arrive from multiple sources and has a tendency to enter the analysis process with haphazard ordering. Data analysis tends to be extremely subjective. That is to say, the nature and goal of interpretation will vary from business to business, likely correlating to the type of data being analyzed. While there are several different types of processes that are implemented based on individual data nature, the two broadest and most common categories are “quantitative analysis” and “qualitative analysis”
.
U.S. population in 2018 was estimated to be 327,200,000
people who were 18-29 years old = 30,357,000
people who were 65 years= 52,431,000
85% of the 30,357,000 people who are 18-29 years old have tried vaping or
electronic cigarettes = 30,357,000 x85/100
people ages 18-29 said they have tried vaping or e-cigarettes
=2,580,345
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Tanisha mowed five lawns last week she mowed each one and 712 hour she wrote the same ones this week in 5/12 hour using her lawnmower how many times longer was tanisha’s Time to mow all the lawns last week and this week express your answer as an improper fraction
Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.
Here, we are given that Tanisha mowed 5 lawns last week in 7/ 12 hours each.
Thus, the total time taken by her to mow 5 lawns = 5(7/12)
= 35/ 12 hours
Now, this week she mows the five lawns in 5/12 hours each
Thus, the total time taken by her = 5(5/12)
= 25/12 hours
Therefore, the difference between the time taken by her last week and this week will be-
35/ 12 - 25/ 12
= (35 - 25)/ 12
= 10/ 12
= 5/6
Thus, Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.
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The price of a computer is 899.00. The sales tax is 7%. What is the sales tax on this computer in dollars and cents?
Answer:
$62.93
Step-by-step explanation:
Convert 7% to a decimal and multiply by the price:
$899.00 x .07 = $62.93
A 12- by 16-foot rectangular floor will be
covered by square tiles that measure 2 feet
on each side. If the tiles are not cut, how many
of them will be needed to cover the floor?
Someone help with this too pls
The answer is 18 months as per the asked question and visible graph
Step-by-step explanation:
Find $900 and follow the horizontal line until it touches the red tilted line
As soon as it touches the red line, go down vertically and find where the line leads you and voila, it leads you to 18 months!
I WILL GIVE BRAINLYIST Which number is prime? Choose each correct answer. 41 41 42 42 43 43 44 44 45 45 46 46 47. THIS IS MULTIPLE ANSWER.
Answer:
It is 41, 43, 47! :D
Step-by-step explanation:
Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
A: 19m=55.5−519 m is equal to 55 point 5 minus 5
B: 5m=19−55.55 m is equal to 19 minus 55 point 5
C: m=55.5−195m is equal to the fraction with numerator 55 point 5 minus 19 and denominator 5
D: 55.5=19m+555 point 5 is equal to 19 m plus 5
Answer:
b
Step-by-step explanation:
Trust me
The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5
Writing equationFrom the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal
From the given information,
"Arianys wants to ride her bicycle 55.5 miles"
and
"She has already ridden 19 miles"
Thus,
The number of miles she needs to ride more is
55.5 miles - 19 miles
= 36.5 miles
If m is the average number of miles she would have to ride for 5 more days to complete her goal,
Then, we can write that
m = 36.5/5
OR
m = (55.5 - 19)/5
Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5
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-x-6=-14 how to solve x
Answer:
x=8
Step-by-step explanation:
-x-6=-14
-x=6-14
x=14-6
x=8
What do I write for 23???
28% of 80 is what number?
Answer:
22.4
Step-by-step explanation:
28% of 80 = [tex]\frac{28}{100}[/tex] of 80
=[tex]\frac{28}{100}[/tex] of 80 = [tex]\frac{28}{100}[/tex]*80
cut the zeros
=[tex]\frac{28}{10}[/tex]*8
=[tex]\frac{28}{5}[/tex]*4
=[tex]\frac{112}{5}[/tex]
=22.4
Someone help with this too pls
Answer:
the answer is 18 months==1 year 6 months
What is the y intercept of the line
Answer:
2 is the y-int.
Step-by-step explanation:
Becuase the line runs through the y-axis at 2.
Simplify the expression. (2+1)×42÷2
Answer:
63
Step-by-step explanation:
Simplifying the expression,
→ (2+1) × 42 ÷ 2
→ 3 × 42 ÷ 2
→ 126 ÷ 2 = 63
Hence, the answer is 63.
An appliance store decreases the price of a 19-In television set 29% to a sale price of $442.69. What was the original price?
Answer:
$623.50
Step-by-step explanation:
(100 - 29)% = 71%
71% = 71 / 100 = 0.71
Original price:
442.69 / 0.71 = 623.50
Hope this helps
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?
24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons
The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons
Calculating quantityFrom the question, we are to determine how much water is left in the barrel
From the given information,
"The barrel is filled with 18 gallons of water"
and
"Ryan used 9.7 gallons to water his garden in June"
After this time,
The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons
= 8.3 gallons
Then,
3 and one eighth gallons in July
3 and one eighth = 3 1/8 = 3.125 gallons
The quantity of water that would be left is 8.3 gallons - 3.125 gallons
= 5.175 gallons
Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons
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Answer:
b
Step-by-step explanation:
If the big, green rectangle represents 1 whole, then what part of the whole is the shaded, gold
rectangle?
14
2 3
4
5
State your answer as a fraction.
6
The fraction that represents the part of a whole, which is shaded gold is 3/7.
What is fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.
Given is a big green rectangle divided into seven equal segments. From the image, it can be seen that 3 segments out of the seven are colored with gold. Therefore, we can write that -
Number of segments colored = n[c] = 3
Total segments = n[T] = 7
We know that a fraction defines a part of a whole. The green Rectangle is one whole, therefore it can be concluded that -
1 whole = 7 segments = n[T].
Number of segments colored = n[c] = 3.
Therefore, we can say that the fraction that represents the part of a whole, which is shaded gold is given by -
n[c] / n[T] = 3 / 7
Therefore, the fraction that represents the part of a whole, which is shaded gold is 3/7.
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[The given question is not complete. Please refer to the image attached for complete question]
Foundational Concepts Unit Test
22. What is the simplified form of the following expression? (1 point)
11[(92-52)+2248]
0224.5
0242
051.3
0110
The simplified form of the following expression is 51.3.
Given,
11(9²-5²)/(2²+8)
= 11(81-25)/(4+8)
= 11(56)/(12)
= 51.3
Expressions are simplified when they are rewritten in a concise manner and without any similar phrases. When simplifying an expression, we combine all similar terms and, if necessary, solve all of the supplied brackets, leaving just the, unlike words that cannot be further reduced.
Combining like terms together and leaving unlike terms alone is the fundamental principle for simplifying phrases. The following is a list of some of the guidelines for simplifying expressions:
Add the coefficients of two or more similar terms together, then include the common variable in the equation.
In the phrase a (b + c) = ab + ac, open the brackets using the distributive property.
Change the sign of all the phrases placed inside that bracket if there is a negative sign right outside the parenthesis to make things simpler.
Simply remove the bracket and put the words as they are, keeping the terms' original signs if there is a "plus" or other positive sign outside of it.
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At Elmo's, an old-fashioned barber shop in Melbourne, Florida, 66% of all customers get a haircut, 49% get a shave, and 40% get both.
a) What is the probability that a randomly selected person doesn't get a shave and doesn't get a haircut? Your answer should have at least 3 decimal places.
b) What is the probability that a randomly selected person gets a shave, given that they get a haircut? Your answer should have at least 3 decimal places.
The probability that a randomly selected person doesn't get a shave and doesn't get a haircut is 0.250.
The probability that a randomly selected person gets a shave, given that they get a haircut is 0.606.
What is the probability?The probability that a person selected at random would not get a shave or a haircut can be found as:
= 1 - (Prob. of haircut + Prob. of shave - Prob. of both)
= 1 - (0.66 + 0.49 - .40)
= 0.250
The probability that a random person would get a shave given they have gotten a haircut is:
= Probability of both / Probability of getting a haircut
= 0.40 / 0.66
= 0.606
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Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answer:
7√2
7√2 is irrational since √2 is irrational
Step-by-step explanation:
3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2
7√2 is irrational since √2 is irrational
solve for u.
(u-7) (u - 13)=0
Answer:
u = 7 OR u = 13
Step-by-step explanation:
Using the zero property of multiplication, you know you have to make either u-7 or u-13 equal to zero. You get the two solutions from these two cases, where you make either of the equations equal to 0:
u - 7 = 0
Add 7 to both sides
u = 7
u - 13 = 0
Add 13 to both sides
u = 13
FINAL ANSWER: u = 7 OR u = 13