Answer:
45 times 35 = 1575 and 1575 divided by 344 = 4.578488372
Answer: 4.58
Step-by-step explanation:
45 times 35 = 1, 575
1,575/344 = 4.58 to 2 decimal place
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
9/23
Step-by-step explanation:
Students who play at least 1 sport = 23-8
= 15
Students playing both sports = (11+13)-15
= 24-15
= 9
Probability = 9/23
Alternatively,
A venn diagram could be drawn
The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
First step
Either (or both) sports =(23 - 8)=15 students play
Both=[11 basketball and 13 baseball)-15]= 9 must play both
Second step
Probability=9/23
Probability=0.39 or 39%
Therefore the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
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The sum of a number x and 5 equals 14
Answer:
x = 9
Step-by-step explanation:
you subtract 5 from 14 to get x alone with 9
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the number x is 9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The sum of a number x and 5 equals 14.
This can be written as,
x + 5 = 14
Subtract 5 on both sides.
x = 14 - 5
x = 9
Thus,
The value of the number x is 9.
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i am time of the day. I am in London when it is 3:00 PM in Tokyo. Assume that Tokyo is 3 hours ahead of Bhutan. I am........
Answer:
6:00 AM
Step-by-step explanation:
London is 9 hours behind Tokyo, so it is still 6:00 AM in London when it is 3:00 PM in Tokyo.
francine makes a diagram of her bedroom 10feet 14feet how many square feet of carpeting does she need to cover the floor
Answer:
140 feet²
Step-by-step explanation:
10 × 14 = 140
what’s the fifth square root of 256
Answer:
3.03143313302
Step-by-step explanation:
Answer:
3.03143313
Step-by-step explanation:
Solve: 2x + 3 = 11 SHOW WORK
Answer:
X=4
Step-by-step explanation:
2x+3=11
Substrate 3 from both sides
2x=11-3
2x=8
Divide both sides by 2
X=4
The value of X is 4.
please see the attached picture for full solution
Hope it helps
Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a snack.
Answer: A movie ticket is $9 while a snack is $2
Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;
2m + 3s = 24
Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;
3m + 4s = 35.
Now we have a pair of simultaneous equations which are
2m + 3s = 24 ----------(1)
3m + 4s = 35 ----------(2)
We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)
2m + 3s = 24 -------- x3
3m + 4s = 35 ---------x2
We now arrive at the following
6m + 9s = 72--------(3)
6m + 8s = 70--------(4)
Subtract equation (4) from equation (3) and we arrive at
s = 2
Having determined that s equals 2 we can now substitute for the value of a into equation (1)
2m + 3s = 24
2m + 3(2) = 24
2m + 6 = 24
Subtract 6 from both sides of the equation
2m + 6 - 6 = 24 - 6
2m = 18
Divide both sides of the equation by 2
m= 9
Therefore one movie ticket costs $9 while one snack costs $2
find the equivalent expression for:
3+2(2p+4t)
Answer:
Step-by-step explanation:
Given that
3+2(2p+4t)
Let open the bracket first
3+ 2×2p + 2×4t
3+4p+8t
This is the equivalent of the expression.
The equivalent expression for 3+2(2p+4t) is given by performing the operations according to the mathematical rules of order of operations. First, apply the distributive property to get 4p + 8t. Then, the expression become 3 + 4p + 8t.
Explanation:The student is looking to simplify and find the equivalent mathematical expression for: 3 + 2(2p + 4t).
First, you should apply the distributive property of operations, which means you multiply the number outside the parenthesis with each term inside the parenthesis. So, 2(2p + 4t) becomes 4p + 8t.
Next, add the 3 to the simplified expression 4p + 8t. The final equivalent expression will be 3 + 4p + 8t.
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In the diagram below, lines l and p intersect. If the measure of is , what is the measure of
A. 109
B100
C.71
D.19
Answer: its c
Step-by-step explanation:
find the volume of a pyramid that has a height of 9 centimeters and a rectangular base with a length of 7 centimeters and a width of 3 centimeters
Answer:
63cm³
Step-by-step explanation:
Volume of a pyramid:
⅓ × base area × height
⅓(7×3)×9
= 63 cm³
is -14 a natural number, whole number, integer, rational or irrational number?
Answer:
Step-by-step explanation:
-14 is an integer
We can also tell as rational number
as -14 can be written in the form p/q, ie -14/1
Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have?
Answer: equations 1,3,4 and 5 stated has solutions.
Step-by-step explanation:
From the question, (x + 5) + 5 = (x + 5) + 5
The equations that represent the situation are:
1. x + 5 = (5 − x) − 5 :which has one solution
2. x + 5 = (x + 5) − 5 : many solutions
3. x + 5 = (x + 5) − 5: no solution
4. x + 5 = (5 − x) − 5 : many solutions
5. (x + 5) + 5 = (x + 5) + 5: many solutions
Equation 2 has no solution. While the other equations have one and more than one solutions.
Select the correct answer.
For Bracken to break even (suffer no loss and earn no profit) over the passage of 3 years, about how many claims for surgical procedures can the 1,000 insured people file?
A. 1,000
B. 900.
C.90
D. 18
E. 180
Answer: 900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
Here is a FDT for a small da
data freq
33
| 34 | 3
35 3
I 36 3
I 37 | 10
Find the following measures of central tendency.
mean =
median =
mode =
Answer:
(a) Mean = 36.05; (b) median = 37; (c) mode = 37
Step-by-step explanation:
I am assuming your DFT is like this:
[tex]\begin{array}{c|c}\textbf{n} & \textbf{Frequency} \\33 & 0 \\34 & 3 \\35 & 3 \\36 & 3 \\37 & 10 \\\end{array}[/tex]
(a) Mean
The mean is the sum of all the data points divided by the number of points. I have done some of the calculations for you in the table below
[tex]\begin{array}{cccc}\textbf{n} & \textbf{f} & \mathbf{n\cdot f} & \mathbf{cf}\\33 & 0 & 0 &0 \\34 & 3&102 &3 \\35 & 3& 105 & 6\\36 & 3 &108 & 9\\37& 10& 370 & 19\\\textbf{SUM} & \mathbf{19}&\mathbf{685} \\\end{array}[/tex]
[tex]\begin{array}{rcl}\text{Mean} & = & \dfrac{\sum n}{n}\\\\& = & \dfrac{685}{19}\\\\& = & \mathbf{36.05}\\\end{array}[/tex]
(b) Median
The median is the middle value in your list of observations.
Your data set contains 19 terms, so the middle is (19/2)th term.
Count down the column of cumulative frequency (cf) until cf = 9½.
The 9½th term is 37.
Median = 37
(c) Mode
The mode is the value that appears most often in your list of observations.
It is obvious from your table that the number that occurs most frequently is 37.
Mode = 37
The diagram below shows that the score of 37 is predominant.
The mean, median and mode are measures of central tendency in mathematics. They are found using a Frequency Distribution Table; calculate the mean by summing up the product of each data point and its frequency, then dividing by total frequency. The median is the middle number when data is in ascending order, and the mode is the number appearing most often.
Explanation:In mathematics, the measures of central tendency referenced in your question; mean, median, and mode, are used to describe a set of data. Given your Frequency Distribution Table (FDT), here's how you would calculate each:
Mean: The mean is the average. Sum up the product of each data point and its frequency and then divide by the total frequency. In this case, (33*3) + (34*3) + (35*3) + (36*3) + (37*10), and divide that sum by the total frequency, which is 22. Median: The median is the middle number when your data is listed in ascending order. If there is an even amount of numbers, the median will be the mean of the two middle numbers. In this case, the median is between the 11th and 12th data points, which falls in the '37' range. Mode: The mode is the most frequently occurring number in a data set. Here, the value '37' appears most frequently with 10 occurrences. Learn more about Measures of Central Tendency here:
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Evaluate the expression when y=5 and x=48. (X-6y)
Answer:
18
Step-by-step explanation:
x-6y
Let x = 48 and y=5
48 -6(5)
48 - 30
18
INCOME; you earn a weekly salary of $200 plus a 3% commission on the total value of the sales made in the week. This week, your sales total $2000. What are your total earnings for the week?
#1 identify the percent, bass, and part of the base in the question
Answer:
Your total earning for the week is $260
Step-by-step explanation:
You earn a salary of $200 weekly, which is constant. Then there is 3% commission on sales you make weekly too.
So it you make $2000, your commission is
3/100 × 2000 = $60
So your total earning for the week is constant income (salary) + commission, which is
$200 +$60 = $260
Explanation of identifying the percentage, base, and part of the base in an income scenario.
The total earning is $ 200 + 3% of $2000
= $ 200 + 60 = $260
The question: Identify the percentage, base, and part of the base in the given scenario.
Percentage: 3%
Base: Total sales made in the week, which is $2000
Part of the base: The commission earned, which is 3% of $2000
The temperature on Mars may reach
a high of 70°F at the equator in the
summer. It may reach a low of -225°F
at the poles. Which expression gives the
difference between those temperatures?
A. 225°F - 70°F
B. – 70°F + 225°F
C. 70°F – 225°F
D. "70°F - (-225°F)
PLEASE HELP ME AND SHOW THE WORK PLEASE!
Answer:
D
Step-by-step explanation:
as 70⁰F is s positive number it is greater than any negative number, to in order to see how far apart it is, you have to subtract the lower number from the higher number hence 70⁰F-(-225⁰F) because the 225⁰F is a negative that you are subtracting, 70⁰+225⁰F could also work, as the two negative cancel out
pls help fast!!
1. factorize(l-x²)
2. simplify:9³×125×27×t⁻⁴/3⁻²×4⁴×5³×(t⁻⁴)³
Answer:
Step-by-step explanation:
15. Your friend paid $17 for a shirt. This amount was 85% of the total amount
your friend spent at the clothing store. How much money did your friend
spend?
To find out how much money your friend spent at the clothing store, set up a proportion using the information given. Your friend spent $20 at the clothing store.
Explanation:To find out how much money your friend spent at the clothing store, we can set up a proportion using the information given. Let's let x represent the total amount your friend spent.
Since your friend paid $17 for a shirt, and that amount was 85% of the total amount spent, we can set up the equation:
17/x = 85/100
Cross multiplying, we get:
100 * 17 = 85 * x
1700 = 85x
To solve for x, we divide both sides of the equation by 85:
x = 1700 / 85 = 20
Therefore, your friend spent $20 at the clothing store.
Charles opened a door hinged at O by an angle of 45 degrees. The width of the door was 80 centimeters. Find the area swept by the door. Leave your answer in terms of pie
Answer:
A=800πcm²
Step-by-step explanation:
Knowing that the area of a circular sector is:
[tex]A_{cs}=\frac{\pi\alpha r^{2}}{360}[/tex]
where α is the sweep angle and r in the radio (according to the graph),
then
A=(45° π 80²)/360° = 800πcm²
Final answer:
The area swept by the door is 10π cm and the area of the sector is 200π cm².
Explanation:
To find the area swept by the door, we can first find the length of the arc created by the door when it opens. The arc length formula is given by:
Arc length = r × θ
Where r is the radius (half the width of the door) and θ is the angle through which the door opens. In this case, the radius is 40 centimeters (half of 80 centimeters) and the angle is 45 degrees.
So, the arc length = 40 cm × (45 degrees) = 40π/4 cm = 10π cm
The swept area can be approximated by treating it as a sector of a circle with radius 40 cm and central angle 45 degrees. The area of the sector is given by:
Area = (θ/360) × π × r²
Where θ is the central angle and r is the radius. Substituting the values, we get:
Area = (45/360) × π × (40 cm)² = 1/8 × π × 1600 cm² = 200π cm²
What is the value of x in the solution to this system of equation
y + 2x = -1
y= x+4
x
+
4
The value of x is 1 in the solution to this system of equation.
Step-by-step explanation:
The system of equation are :
2x+y = -1 ---------(1)
x-y = 4 ---------(2)
Adding the equations (1) and (2),
2x+y = -1
x - y = 4
3x = 3
⇒ 3x = 3
⇒ x=3/3
⇒ x = 1
Write the equation of the line that passes through the point (-5,5) and has a slope of -8/5
A) y= -8/5 x - 3
B) y= -8/5x+3
C) 3x - 5y =0
D) 5x-3y=0
Answer:
Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:
[tex]y=\frac{-8}{5}x-3[/tex]
Step-by-step explanation:
Given the point (-5, 5)
slope = m = -8/5
Using the slope intercept form:
[tex]y=mx+b[/tex]
Plugging point (-5, 5) and slope = m = -8/5 in the slope intercept form to find the y-intercept 'b'.
[tex]5=\frac{-8}{5}\left(-5\right)+b[/tex]
[tex]\mathrm{Switch\:sides}[/tex]
[tex]\frac{-8}{5}\left(-5\right)+b=5[/tex]
[tex]8+b=5[/tex]
[tex]8+b-8=5-8[/tex]
[tex]b=-3[/tex]
so the equation of the line will be:
[tex]y=mx+b[/tex]
plugging m = -8/5 and b = -3 in slope intercept form
[tex]y=\frac{-8}{5}x-3[/tex]
Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:
[tex]y=\frac{-8}{5}x-3[/tex]
the length of a rectangle is 3 more than twice its width. the perimeter is 48 feet
Answer:
bruh
Step-by-step explanation:
fpkgjdfgjd
Answer:
Step-by-step explanation:
width =x
length = 2x + 3
Perimeter = 48 feet
2*(length + width ) = 48
2*(2x + 3 + x) = 48
2*(3x + 3 ) = 48
3x +3 = 48/2
3x + 3 = 24
3x = 24-3
3x = 21
x = 21/3
x = 7
Width = x = 7 feet
length = 2x + 3 = 2*7 + 3 = 14+ 3 = 17 feet
how far will i travel if i am driving @75kmh for 18 mins. can the distance over speed applies?
thanks!
Answer:
22.5 km
Step-by-step explanation:
Speed = distance/time
Given speed = 75km/h
time = 18 mins
Distance = ?
Given the speed is in km/h , convert the time from minutes to hour .
18/60 = 0.3 hours
Therefore,
75 = distance/0.3
Cross multiply
75 x 0.3 = distance
22.5 = distance
Distance = 22.5 km
A bottle holds 24 ounces of water. It has x ounces of water in it. What does 24 - x represent in the situation?
on monday,the price of one share of webb company stock was 24.85. by friday,the price was 25.004. by how much did the price changre from monday to friday
The price of one share of Webb Company stock increased by $0.154 from Monday to Friday.
Explanation:To calculate the change in the price of a share of stock from Monday to Friday, we subtract the price of the stock on Monday from the price of the stock on Friday. In this case, the price on Monday was $24.85 and the price on Friday was $25.004.
Change in stock price = Price on Friday - Price on Monday
Change in stock price = $25.004 - $24.85
Change in stock price = $0.154
Therefore, the price of one share of Webb Company stock changed by $0.154 from Monday to Friday.
A football team scores 6 points for each touchdown scored. Which graph represents this situation?
24ty
Points
Points
Points
Touchdowns
Touchdowns
Touchdowns
Answer:
Step-by-step explanation:
how many touch downs did the team get?
A bar graph represents the points scored by a football team for each touchdown scored.
Explanation:The graph that represents this situation is a bar graph. The x-axis represents the number of touchdowns scored and the y-axis represents the number of points scored. Each bar on the graph represents a different number of touchdowns scored, and the height of the bar represents the number of points scored for that number of touchdowns. For example, if the team scores 2 touchdowns, the corresponding bar on the graph would have a height of 12 (2 touchdowns * 6 points per touchdown).
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Katie has a loan balance of $5,000 with a 15% APR. She will take 3 years to pay it off, making her monthly payments $201.39. How much is she paying in interest over the 3 years?
A.) $2,250
B.) $4,250
C.) $604.17
D.) $750
Answer:
a
Step-by-step explanation:
Answer:
$2250
Step-by-step explanation:
First we calculate total payment made by her in 3 years time. This can be done by multiplying monthly payments by 36 months (3 years time). Then we deduct the same by the loan balance required to pay off. The difference of both is the interest paid over the three years. As done below
Total Payment = 201.39 x 36 = 7,250.04
Interest Paid = 7,250.04 - 5,000 = 2,250.04
Rounding off to whole number that is $2,250
Joanne made 16 fruit bars in a square pan. The fruit bars are 2 inches by 2 inches. What are the dimensions of the pan she used to bake the fruit bars?
I need help answering all of these. My teacher thinks that we should know this even though he hasn´t taught us any of this. please help?! thank you!
Answer:
Step-by-step explanation:
x/2=3.5
x=3.5*2
x=7