What is the value of x in the equation 3x – y = 18, when y = 27?
a.5
b.7
c.45
d.63
Answer:
5
Step-by-step explanation:
Cal has a sports trading card collection with 30 baseball cards, 25 basketball cards, and 45 football cards. What percent of his cards are basketball cards?
total cards = 30 + 25 + 45 = 100
25 are basket ball
25/100 = 0.25
0.25 = 25%
25% are basketball
Answer:
25%
Step-by-step explanation:
what is 10 1/3 as a improper fraction and show your if you can.
WORLD'S HARDEST MATH QUESTIONS
Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years? Write a function to represent this scenario.
DIVIDING ALGEBRAIC FRACTIONS HELPP!!!!
8/9-a^2 divided by 4a^2-4a-24/a^2-6a+9
The sum of two consecutive integers is −225. Find the two integers
will give BRAINEST
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
x + y = 8
x – y = 6
Given a sphere with volume V, the formula
r = 0.62V
1
3
may be used to approximate the sphere's
radius r.
Find the approximate radius of a sphere that has a volume of
512 in3.
The approximate radius of a sphere that has a radius of
512 in3
is ___ in
chose the graph that represents the equation y=|x-4|
Answer:
V shape.
Vertex at (4,0)
Intersect with y axis at (0,4)
Step-by-step explanation:
In order to solve this you just ahve to search fo the graph that grows like a V because when you deal with functions that have absolute values you can have negative and positive values for the independent variable but not for the dependent, in this case x is the independent so x will have negative and positive values while Y will only grow in the postives, now the vertex of the function is found where Y=0 so to calculate that you equal the function to 0
y=|x-4|
0=|x-4|
x=4
So the vertex will be at (4,0) and the intersect with the y axis will be located where x=0, so you evaluate the function for 0:
y=|x-4|
y=|o-4|
y=|-4|
y=4
So the intersect with the y axis will be at (0,4).
Drag the correct tiles that match.?
mathematical modeling results in formulas that give exact values of real world phenomena over time
What is the least common multiple of 27,48, and 66
what is the cube root of 4096
If The sum of three consecutive even integers is 162, what is the first of the three even integers?
Your hint if x and x +2 represent the first two consecutive even integers, then how would the third consecutive even Integer be represented
It takes joey 1/16 of an hour to write one thank you note. How many cards can he write in 3/4 of an hour
divide 3/4 by 1/16
3/4 / 1/16 =
3/4 * 16/1 =
48/4 = 12
he can write 12
Suppose you want to cut 1515 identical boards of length 33 feet. the procedure is to measure and cut the first board, then use the first board to measure and cut the second board, then use the second board to measure and cut the third board, and so on. answer parts a and
b.
a. what are the possible lengths of the 1515th board if, each time you cut a board, there is a maximum error of plus or minus±one third 1 3 inch? the board could be as short as nothing inches or as long as nothing inches. (simplify your answer. type integers or decimals rounded to the nearest hundredth as needed.)
The lengths of the 1515th board could range from 32.51 feet to 33.49 feet, considering the maximum measurement error of plus or minus one third inch per cut.
Explanation:To find the possible lengths of the 1515th board, we need to consider the maximum error in each board measurement. Each time a board is cut, there is a maximum error of plus or minus one third inch. So, the 1515th board could be as short as 33 feet minus 1515 multiplied by one third inch, and as long as 33 feet plus 1515 multiplied by one third inch. Simplifying this, the 1515th board could be as short as 32.51 feet and as long as 33.49 feet.
ABC Office Supply offers an electric typewriter for $129.95. If ABC received a 15% markup on cost by selling the typewriter at this price, what was the cost of the typewriter to ABC?
In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer tea how many people were interviewed
A total of 90 people were interviewed in the survey, which was determined by setting up a proportion based on the information that 7 out of 10 people prefer coffee and the remaining prefer tea, with 27 people preferring tea.
To solve the problem, we need to determine the total number of people surveyed based on the information given about their preferences for coffee and tea in the morning.
According to the survey, 7 out of 10 people prefer coffee. The rest, which is 3 out of 10, prefer tea. We are told that 27 people prefer tea. To find the total number of people surveyed, we set up a proportion where 3 people out of 10 is equivalent to 27 people out of the total number of people interviewed:
Let x represent the total number of people interviewed.Set up the ratio: 3/10 = 27/x.Cross multiply to solve for x: 3x = 270.Divide both sides by 3 to find x: x = 90.So, a total of 90 people were interviewed.
At 12:30 pm on august 2, the surface receives 789 wm−2 and reflects 110 wm−2. what is the surface albedo?
Erica has a box with 10 pencils in it. she wants to give 0.3 Of the pencils in the box to her sister. which model represents the number of pencils Erica have to her sister
What is the equation of the following graph in vertex form?
The Nygen family wants to put a circular fence around their pool. They want it to be exactly 11 feet from the center of the pool. How many feet of fencing do they need to buy?
3 inches is what fraction of a foot
In the context of measurements, 3 inches is equivalent to 1/4 or 0.25 of a foot because 1 foot is composed of 12 inches.
Explanation:The student is asking about the fraction that represents 3 inches in relation to a foot. In order to answer this, we need to know that 1 foot equals 12 inches. Therefore, we can represent 3 inches as a fraction of a foot by dividing 3 (the number of inches) by 12 (the number of inches in a foot). So, 3 inches is 1/4 or 0.25 of a foot.
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If the probability that the Cavaliers will win the NBA championship this year is 7/11, what are the odds that the Cavaliers will lose the NBA championship?
Answer:
4 out of eleven
Step-by-step explanation:
6 divided by 1/3 equals
6 divided by 1/3 equals 6 times 3
6*3 = 18
Write an expression, that when using the Distributive Property, can be simplified to 12a + 18b - 6c.
multiply 5 × 381 using place value and expanded form
Amy is just learning how to rock climb. Her instructor takes her to a 26 ft climbing wall for her first time. She climbs up 5 ft in 2 min. But then slips back 2 ft in 10 sec. This pattern (up 5 feet down 2 ft) continues until she reaches the top. How long will it take her to reach the very top?
Final answer:
Amy needs to cover 23 feet through 7 full cycles of climbing and slipping, followed by a final climb of 5 feet without slipping. It takes her 15.17 minutes for the cycles and an additional 2 minutes for the final climb, summing up to a total of 17.17 minutes to reach the top.
Explanation:
Amy is learning how to rock climb and faces a challenge of climbing a 26 ft wall by moving up 5 ft in 2 minutes, then slipping back 2 ft in 10 seconds. To calculate the total time it will take her to reach the top, we can start by finding the net distance she covers in each cycle of climbing and slipping.
During each cycle, Amy climbs 5 ft but then slips back 2 ft, making her net gain per cycle 3 ft (5 ft up - 2 ft back). To reach the top of the 26 ft wall, she doesn't slip back after the final climb, so the last part of the climb she only needs to cover the distance that takes her to 26 ft without slipping back.
Let's consider the entire climb except the final push to the top:
Total distance to cover without the last climb: 26 ft - 3 ft = 23 ft.
Number of full cycles to cover 23 ft: 23 ft / 3 ft per cycle = 7.67 cycles. Since she can't do a partial cycle, we round down to 7 full cycles, covering 21 ft (7 cycles * 3 ft/cycle).
Remaining distance after 7 cycles: 26 ft - 21 ft = 5 ft, which she covers in her last climb.
Each cycle takes 2 minutes and 10 seconds (2 minutes for climbing up 5 feet and 10 seconds for slipping back 2 feet). Since 10 seconds is 1/6 of a minute, each cycle takes 2 + (1/6) = 2.167 minutes. For 7 cycles, the time is 7 cycles * 2.167 minutes/cycle = 15.17 minutes. The final climb of 5 ft takes an additional 2 minutes, resulting in a total time of 17.17 minutes to reach the top.
If a person starts investing $100 per month starting at age 21, and that money earns a 7% return every year, how much will this person have when turning 70 years old? For ease of calculation, assume starting balance of $0 and annual contributions of $1,200 (12*$100
The amount of money the person will have is [tex]\fbox{\begin\\\ \bf \$454,800\\\end{minispace}}[/tex].
Further explanation:
In the question it is given that the amount of money invested per month is [tex]\$100[/tex].
So, the total amount of money invested in [tex]1[/tex] year or [tex]12[/tex] months is calculated as follows:
[tex]\fbox{\begin\\\ 100\times 12=1200\\\end{minispace}}[/tex]
This implies that the total amount of money invested in [tex]1[/tex] year is [tex]\$1200[/tex].
Amount of money invested grows at a rate of [tex]7\%[/tex] per year.
A person started investing the money at an age of [tex]21[/tex] years and decided to withdraw the money at the age of [tex]70[/tex] years.
So, the total time for which the money was invested is calculated as follows:
[tex]\fbox{\begin\\\ 70-21=49\\\end{minispace}}[/tex]
The formula to obtain the future value of the invested money is as follows:
[tex]\fbox{\begin\\\ FV=PV\left[\dfrac{(1+r)^{t}-1}{r}\right]\\\end{minispace}}[/tex]
Substitute [tex]1200[/tex] for [tex]PV[/tex], [tex]0.07[/tex] for [tex]r[/tex] and [tex]49[/tex] for [tex]t[/tex] in the above equation.
[tex]\begin{aligned}FV&=1200\left[\dfrac{(1+0.07)^{49}-1}{0.07}\right]\\&=1200\left[\dfrac{(1.07)^{49}-1}{0.07}\right]\\&=1200\left[\dfrac{26.53}{0.07}\right]\\&=1200\times379\\&=454800\end{aligned}[/tex]
Therefore, the future value of the invested money is [tex]\$454,800[/tex].
Thus, the amount of money the person will have is [tex]\fbox{\begin\\\ \bf \$454,800\\\end{minispace}}[/tex].
Learn more:
A problem on coordinate geometry https://brainly.com/question/4057490A problem on linear function https://brainly.com/question/9801816A problem on linear equation https://brainly.com/question/1761434Answer details:
Grade: College
Subject: Mathematics
Topic: Time value of money
Keywords: Future value, present value, interest, time period, investment, money, 7 percent, $100, amount, invested money, formula.
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters. What was the total distance Gabriella flew that day?
The total distance Gabriella flew that day with distances measuring 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters is,
⇒ 51.44 meters
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that,
On Saturday she performed in four shows.
Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters.
Now, To find the total distance Gabriella flew that day with distances measuring 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters we can add all the distances,
⇒ 8.05 m + 17.71 m + 14.38 m + 19.35 m
⇒ 51.44 meters
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