John take longer time.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time John practice = 500 seconds
And, Time bill practice = 8 minutes
= 8 x 60 second
= 480 second
Therefore, We get;
⇒ 500 > 480
So, John practice more time.
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henry can write 5 1/4 of his novel in 3 hours. how many pages can he write in eight hours
The ratio of two sides of a parallelogram is 2 : 5 and its perimeter is 70 cm. Find the sides of a parallelogram.
GivEn:
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The ratio of two sides of a parallelogram is 2 : 5.Perimeter of parallelogram = 70 cm⠀⠀⠀⠀⠀⠀⠀
To find:
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Sides of parallelogram?⠀⠀⠀⠀⠀⠀⠀
Solution:
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☯ Let two adjacent sides of parallelogram be 2x and 5x.
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⋆ Refrence of image is shown in diagram:
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[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1,1)(1,1)(6,1)\put(0.4,0.5){\bf D}\qbezier(1,1)(1,1)(1.6,4)\put(6.2,0.5){\bf C}\qbezier(1.6,4)(1.6,4)(6.6,4)\put(1,4){\bf A}\qbezier(6,1)(6,1)(6.6,4)\put(6.9,3.8){\bf B}\put(0.7,2.5){\sf 2x}\put(3,0.5){\sf 5x}\end{picture}[/tex]
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[tex]\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}\\ \\[/tex]
Perimeter of parallelogram = 70 cm⠀⠀⠀⠀⠀⠀⠀
[tex]\dag\;{\underline{\frak{We\;know\;that,}}}\\ \\[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter_{\;(parallelogram)} = 2 \times (sum\:of\: adjacent\:sides)}}}}\\ \\[/tex]
[tex]:\implies\sf 2 \times (2x + 5x) = 70\\ \\[/tex]
[tex]:\implies\sf 2 \times 7x = 70\\ \\[/tex]
[tex]:\implies\sf 14x = 70\\ \\[/tex]
[tex]:\implies\sf x = \cancel{ \dfrac{70}{14}}\\ \\[/tex]
[tex]:\implies{\boxed{\sf{\pink{x = 5}}}}\;\bigstar\\ \\[/tex]
Therefore,
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2x = 2 × 5 = 10 cm5x = 5 × 5 = 25 cm⠀⠀⠀⠀⠀⠀⠀
[tex]\therefore[/tex] Hence, Adjacent sides of parallelogram are 10 cm and 25 cm.
In your drawer you have 10 white socks, 6 black socks, 4 brown socks and 2 blue socks. your roomate is still asleep, and you cannot turn the light on while you get dressed. you reach in blindly and grab two socks. what is the probability of pulling out a matching pair of black socks?
a weightlifter uses 45 pound plates and 10 pound plates to lift 260 pounds .let x represent the number of 45 pounf weights and y represents the number of 10 pound weights .
part 1 Rights an equation is standard form that represents the situation.
part 2. if the weightlifter uses eight 10 pound weights, how many 45 pound weights did he use???????
A standard form equation representing the weightlifting situation is 45x + 10y = 260. If eight 10-pound plates are used, the number of 45-pound plates used is 4.
Explanation:The situation given can be translated mathematically to an equation in standard form as follows: 45x + 10y = 260. This equation signifies that the total weight lifted (260 pounds) is equal to the sum of the weight of the 45
pound plates
(which each weighs 45 pounds multiplied by the number of plates, represented by x) and the 10 pound plates (which each weighs 10 pounds multiplied by the number of plates, represented by y). In the second part of the question, we're told that the weightlifter uses eight 10-pound weights, so y=8. Substituting y=8 into the equation from above, it simplifies to 45x + 80 = 260, which solves to x = 4. So, if the weightlifter uses eight 10 pound plates, then he uses four 45 pound plates.
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15 POINTS I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!The solution to 16x = 48 is x = ___. (Only input the number.) Numerical Answers Expected! Answer for Blank 1:
Which is relatively better: a score of 83 on a psychology test or a score of 55 on an economics test? scores on the psychology test have a mean of 92 and a standard deviation of 13. scores on the economics test have a mean of 56 and a standard deviation of 3?
The slope of a line running through points (6, 2) and (5, 7) is:
What is the opposite or addictive inverse of 43
Evaluate the expression 2x - (4y - 3) + 5xz, when x = -3, y = 2, and z = -1
describe how you shaded bars to show data
hey can you please help me posted picture of question
which of the following angles is coterminal with 480°
An angle coterminal with 480° can be found by subtracting multiples of 360° from 480°. Two examples of such angles are 120° and -240°.
Explanation:To find an angle that's coterminal with a given angle, we can add or subtract multiples of 360° (since a full circle is 360°). So, to find an angle coterminal with 480°, we can subtract 360° from 480°, which gives us 120°. Therefore, 120° is an angle that is coterminal with 480°. It's worth noting that there can be infinite coterminal angles, both positive and negative, for any given angle. For example, if we subtract 360° again from 120°, we get -240°, which is also coterminal with 480°.
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convert from radians to degrees -7pi/2
Hey can you please help me out posted picture of question
What are the zeros of the function?
f(x)=x^3−2x^2−3x
A
-3, 0, and 1
B
−3, 0, and 2
C
−1, 0, and 3
D
−2, 0, and 3
hey can you please help me posted picture of question
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
a
By what percentage is the grapefruit heavier than the apple?
PLS answer this soon... before an hour at most.
1A. Nan and Soto are designing a coffee table using four inch tiles Nan uses 30 tiles and soto uses half as many how many total tiles did they use
1B. If the area of the table is 36 inches by 24 inches will they have enough towels to cover the table if not how many more will they need
2 different questions
But they are related
Nan and Soto used a total of 45 tiles. However, to cover a coffee table that has an area of 36 inches by 24 inches, they need 54 tiles, so they will need to acquire 9 more tiles.
1A. Nan uses 30 tiles and Soto uses half as many, which means Soto uses 15 tiles. So, they used a total of 45 tiles (30 + 15).1B. The area of the coffee table is 36 inches by 24 inches, which equals 864 square inches (36 x 24). Each tile is a four-inch square, so it covers an area of 16 square inches (4 x 4).
To find out how many tiles are needed, we divide the total area of the table by the area of one tile: 864/16 = 54 tiles. Since Nan and Soto have only 45 tiles, they need an additional 54 - 45 = 9 more tiles to cover the table.
Olga’s family traveled 942 kilometers on the first day of their trip and 894.5 kilometers on the second day.
How many more meters did Olga’s family travel on the first day?
I'm in K12 and if you are too and have the answer, plz help
We have been given that Olga’s family traveled 942 kilometers on the first day.
And 894.5 kilometers on the second day.
We need to find how many more meters did Olga’s family travel on the first day.
Therefore, we must subtract the distance traveled in first day to the distance traveled in the second day of the trip.
Hence, the difference is given by
[tex]942-894.5\\ \\ 45.5[/tex]
Thus, Olga’s family travel 45.5 km more on the first day.
-3x-4=-13 solve inequality plz show work!
How much of a circle does a 100-degree angle turn through?
A. 1
B. 100/180
C. 50/360
D. 100/360
Seventy percent of the bicycles sold by a certain store are mountain bikes. among 100 randomly selected bike purchases, find the probabilities below. (round your answers to four decimal places.) (a) what is the approximate probability that at most 75 are mountain bikes?
To find the probability that at most 75 bicycles sold are mountain bikes, use the binomial distribution formula with a success probability of 0.70, 100 trials, and a binomial calculator to find the cumulative probability of 0 to 75 mountain bike sales. Round the answer to four decimal places.
Explanation:To find the approximate probability that at most 75 bicycles sold are mountain bikes, we can use the binomial distribution formula. In this case, the success is getting a mountain bike sale and the probability of success is 0.70. The number of trials is 100, which represents the randomly selected bike purchases. We can use a binomial calculator or software to find the probability.
The probability can be calculated as follows:
Use a binomial calculator or software to find the cumulative probability of 0 to 75 mountain bike sales with 100 trials and a success probability of 0.70. The resulting probability will be the approximate probability that at most 75 bikes sold are mountain bikes. Round the answer to four decimal places. Learn more about Probability here:
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The scenario represents a binomial probability problem. To solve, we'd calculate binomial probabilities for k from 0 to 75 (for 'at most 75' mountain bikes), where k is the count of successes, and then sum up these probabilities. This calculation involves advance statistic methods
Explanation:The subject of the question falls under probability in mathematics. Specifically, this question requires the use of the binomial distribution to find the probability of a certain event occurring. A binomial distribution is relevant because we know the probability of success (a bike sold being a mountain bike) is 70%, or 0.70, and we are looking at a fixed number of events (100 bike purchases).
In order to solve the problem, we calculate the binomial probability using the formula: [tex]P(X=k) = C(n, k)*(p^k)*((1-p)^{(n-k)})[/tex] where n = number of trials (100 in this case), k = number of successes we're looking at (75 in this case), p = probability of success on any given trial (0.70 in this case), and C(n, k) = combination of n items taken k at a time.
However, the question asks for the probability that 'at most 75 are mountain bikes'. So we also have to compute and sum up the probabilities from 0 to 75 to get the answer.
This can be quite laborious to calculate by hand, so we often use statistical software or a calculator capable of such operations to find the exact value. Hence, it is often a procedure performed in a College level Statistics class.
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Find the range of the following data. 5.3, 6.2, 3.1, 4.8, 7.3
Find the range of the following data. 5.3, 6.2, 3.1, 4.8, 7.3
Solution:
In Statistics, Range is the difference between the lowest and highest values.
Or, Range= Maximum Value-Minimum Value
In the given set :5.3,6.2,3.1, 4.8, 7.3
Let us arrange in increasing order first
3.1, 4.8, 5.3, 6.2, 7.3
So, The Lowest value in the set=3.1
And, The Highest value in the set=7.3
So, Range= Highest Value- Lowest Value
Range=7.3-3.1
Range=4.2
Answer: Range=4.2
The sum of three numbers is 12. The sum of twice the first number, 5 times the second number, and 6 times the third number is 59. The difference between 8 times the first number and the second number is 23. Find the three numbers.
The question requires solving a system of linear equations which results from given conditions on three unknown numbers. The unknowns can be represented by the letters x, y, and z which need to be solved for by leveraging the knowledge of algebra.
Explanation:The question given is a classic example of a system of linear equations. Let's represent the first number as x, the second number as y, and the third number as z. From the question, we have the following equations:
[tex]x + y + z = 12 \\2x + 5y + 6z = 59 \\8x - y = 23[/tex]
Solving this system, we can find the values for x, y, and z which represent the three numbers. One of the methods for solving such a system is substitution or elimination method. Nevertheless, the solving such system requires a strong understanding of basic algebra including addition, subtraction, multiplication, and division of numbers and algebraic expressions.
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Find the slope of the line.
Answer:
The slope of the line is [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we can get to points (-4,-1) and (0,-3). Having this and using the equation to calculate the slope, we have:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Defining:
[tex](x1=-4,y1=-1)[/tex] and [tex](x2=0,y2=-3)[/tex]
Replacing this values in the initial equation, this is:
[tex]m=\frac{-3-(-1)}{0-(-4)}[/tex]
[tex]m=\frac{-2}{4} =-\frac{1}{2}[/tex]
The slope of the line is [tex]-\frac{1}{2}[/tex]
are these answers correct
What is the area of a parallelogram that has a base of 6 cm and a height of 4 mm
What is the following product? Assume x>0 (4x√5x^2 +2x^2√6)^2 A.80x^4+8x^4√30x+24x^4 B.80x^6+8x^5+8x^5√30x+24x^4 C.104x^4 D.104x^4+16x^4√30
we are given
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2[/tex]
we can expand it
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x\sqrt{5x^2} +2x^2\sqrt{6} )(4x\sqrt{5x^2} +2x^2\sqrt{6} )[/tex]
we can simplify it
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x\sqrt{5}x +2x^2\sqrt{6} )(4x\sqrt{5}x +2x^2\sqrt{6} )[/tex]
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x^2\sqrt{5} +2x^2\sqrt{6} )(4x^2\sqrt{5} +2x^2\sqrt{6} )[/tex]
now, we can FOIL it
we get
[tex](4x\sqrt{5x^2} +2x^2\sqrt{6} )^2=(4x^2\sqrt{5})^2 +2*2x^2\sqrt{6} *4x^2\sqrt{5} +(2x^2\sqrt{6} )^2[/tex]
now, we can simplify it
[tex]=4^2\cdot \:5x^4+16\sqrt{30}x^4+2^2\cdot \:6x^4[/tex]
[tex]=80x^4+16\sqrt{30}x^4+24x^4[/tex]
now, we can combine like terms
[tex]\mathrm{Add\:similar\:elements:}\:80x^4+24x^4=104x^4[/tex]
[tex]=104x^4+16\sqrt{30}x^4[/tex]
so, option-D.............Answer
Answer: D
Step-by-step explanation:
How can operations of polynomials be used to create new polynomial models?
Answer:
Adding and subracting change from one polynomial to another by combining like terms, when multiplying and dividing don't do that.
PLZ HELP ASAP INSCRIBED QUADRILATERALS