Answer:
112/125
Step-by-step explanation:
If we know all 25 are in at least one foreign language class then we can assume that exactly 4 of the 18 kids in French only take French to add up to 25 and this means that the 14 left take both classes. Now we can create three fractions for each case which are 7/25 (Spanish only) 4/25 (French only) and 14/25 (Both) and we can know say that if he goes down the route of getting a Spanish only as his first he needs one of the 18 other students the chances of this happening are 7/25 * 18/25 = 126/625 the same thing is done with the French only and we get 4/25 * 21/25 = 84/625 and then we have the possibility of just getting a student that does both which is 14/25 or 350/625. now we add them all together to get 560/625 which is simplified to 112/125.
Hope this helps please mark brainliest :)
Use the conversion table to convert the following English units into the given metric units. Calculate all problems by hand. Round your answers to two decimal places. 10 in. to millimeters 60 ft. to meters 4.5 in. to millimeters 12 U.S. quarts to liters 25 feet per second to meters per second 100 miles to kilometers
1. 10 in. to millimeters: 254.00 mm
2. 60 ft. to meters: 18.29 m
3. 4.5 in. to millimeters: 114.30 mm
4. 12 U.S. quarts to liters: 11.36 L
5. 25 feet per second to meters per second: 7.62 m/s
6. 100 miles to kilometers: 160.93 km
Explanation:To convert inches to millimeters, we use the conversion factor 1 inch = 25.4 millimeters. Therefore, for 10 inches, the calculation is: [tex]\(10 \, in. \times 25.4 \, \frac{mm}{in.} = 254.00 \, mm.\)[/tex]
For the conversion from feet to meters, the conversion factor is 1 foot = 0.3048 meters. Thus, for 60 feet, the calculation is: [tex]\(60 \, ft. \times 0.3048 \, \frac{m}{ft.} = 18.29 \, m.\)[/tex]
Converting inches to millimeters again, using the same conversion factor, we get [tex]\(4.5 \, in. \times 25.4 \, \frac{mm}{in.} = 114.30 \, mm.\)[/tex]
Moving on to quarts to liters, 1 U.S. quart is approximately 0.94635 liters. For 12 quarts, the conversion is [tex]\(12 \, qts \times 0.94635 \, \frac{L}{qt} = 11.36 \, L.\)[/tex]
For the speed conversion from feet per second to meters per second, we use the conversion factor 1 ft/s = 0.3048 m/s. Thus,[tex]\(25 \, ft/s \times 0.3048 \, \frac{m}{ft} = 7.62 \, m/s.\)[/tex]
Finally, for miles to kilometers, the conversion factor is 1 mile = 1.60934 kilometers. Hence, [tex]\(100 \, miles \times 1.60934 \, \frac{km}{mile} = 160.93 \, km.\)[/tex]
Answer:1. 10 in. to millimeters: 254.00 mm2. 60 ft. to meters: 18.29 m3. 4.5 in. to millimeters: 114.30 mm4. 12 U.S. quarts to liters: 11.36 L5. 25 feet per second to meters per second: 7.62 m/s6. 100 miles to kilometers: 160.93 km
Step-by-step explanation:
What are the number for x in 8x-6x=-18
Answer:
8x-6x=-18
8x-6x=2x
2x=-18
-18/2=-9
x=-9
Step-by-step explanation:
14. Which one of the following formulas correctly expresses this statement: The number x is equal to another number n plus the square root of 3. A. x = n + √3 B. x = 3n2 C. x = √n + 3 D. x = n + 32
Answer:
I believe it's A.
Step-by-step explanation:
Because look at the parts: The number x / is equal to / another number n / plus / the square root of 3.
Hope my answer has helped you!
For this case we must express in an algebraic way the following expression:
"The number x is equal to another number n plus the square root of 3"
So:
The same "x" number is represented as:
[tex]x =[/tex]
A number "n" plus the square root of three is represented as:
[tex]n + \sqrt {3}[/tex]
So, the complete expression is:
[tex]x = n + \sqrt {3}[/tex]
Answer:
Option A
what is the sum of the measures of the interior angles of this polygon?
Answer:
540 degrees
Step-by-step explanation:
We can find the sum of the interior angles by using the formula (n - 2) * 180.
n: represents the total number of angles in the polygon
We can determine that polygon contains 5 angles, which means you would substitute the n variable with. Then you would simply follow the order of operation (ex: parentheses first, multiplication next, etc.) to find our answer.
(5 - 2) * 180
Solve the contents inside the parentheses first, as mentioned above.
(5 - 2) * 180
(5 - 2) = 3
So, we are left with
3 * 180
Now you'd multiply 3 * 180 and the product of that represents the sum of the measures of the interior angles of the polygon.
3 * 180 = 540
In conclusion, the sum of the measures of the interior angles is 540 degrees.
Answer:
540
Step-by-step explanation:
What is the distance between(-3,-8) and (-12,-11)
Step-by-step explanation:
Use the distance formula:
d² = (x₂ − x₁)² + (y₂ − y₁)²
d² = (-3 − -12)² + (-8 − -11)²
d² = 9² + 3²
d² = 90
d = 3√10
Reiko is going to use AAS to prove that VWX=YZX. PLZ HELP ASAP
Answer:
Option C.
Step-by-step explanation:
In the given triangles XWV and XYZ we have to prove both the triangles are congruent.
Since side VW ≅ side YZ (Given)
∠WVX ≅ ∠XYZ (Given)
And by AAS theorem, we should prove ∠VXW = ∠YXZ
Since AAS theorem says, if two adjacent or corresponding angles and one opposite side of these angles are equal then the given triangles will be congruent.
Therefore, Option C. will be the answer.
Answer:
Prove that VXW TO YXZ by vertical angles
PLS HELP BRAINLIEST WILL BE AWARDED IF ANSWER IS CORRECT
Answer:
AC = 18.1 cm
Step-by-step explanation:
Construct a line from point B perpendicular to the line AD and mark it as E on line AD. Now you have a right triangle ABE with AB = 16 cm and AE = AD - BC
so AE = 11 cm - 4 cm = 7 cm
You can find BE by using Pythagorean theorem
BE^2 = AB^2 - AE^2
BE^2 = 16^2 - 7^2
BE^2 = 256 - 49
BE^2 = 207
BE = 14.4 cm
Draw a line from A to C, you have a right triangle ACD with AD = 11cm and CD = BE = 14.4 cm
Using Pythagorean theorem
AC^2 = AD^2 + CD^2
AC^2 = 11^2 + 207
AC^2 = 121 + 207
AC^2 = 328
AC = 18.1 cm
Use the elimination method to solve the systems of equations choose the correct ordered pair 3x+6y=36 3x-6y=0
Answer:
(6, 3)
Step-by-step explanation:
Given the 2 equations
3x + 6y = 36 → (1)
3x - 6y = 0 → (2)
Add the 2 equations term by term to eliminate the y- term
(3x + 3x) + (6y - 6y) = (36 + 0)
6x = 36 ( divide both sides by 6 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
(1) : 18 + 6y = 36 ( subtract 18 from both sides )
6y = 18 ( divide both sides by 6 )
y = 3
Solution is (6, 3)
Answer:
the solution is (6, 3)
Step-by-step explanation:
Subtract the second equation from the first, as indicated:
3x+6y=36
-( 3x-6y=0)
-----------------
12y = 36. Then y = 36/12 = 3.
Subbing 3 for y in the second equation, we get 3x - 6(3) = 0, or 3x = 18, or x = 6.
Thus, the solution is (6, 3).
Identify the measure of arc PR.
Arc PR measures 90 degrees because it is a minor arc that intercepts central angle PQR, which measures 90 degrees.
The measure of arc PR is 90 degrees. This can be determined from the given diagram, which shows a circle with arc PR labeled. We also know that central angle PQR measures 90 degrees.
Minor arcs are arcs that intercept central angles less than 180 degrees. Major arcs are arcs that intercept central angles greater than or equal to 180 degrees.
Since arc PR intercepts central angle PQR, which measures 90 degrees, arc PR must be a minor arc. Minor arcs have the same measure as their central angles, so arc PR must also measure 90 degrees.
Here is an alternative way to think about it:
The entire circle can be divided into 360 degrees.
Arc PR is a portion of the circle, so it must have some measure.
Central angle PQR also divides the circle into two portions.
Since arc PR intercepts central angle PQR, it must have the same measure as central angle PQR, which is 90 degrees.
Therefore, the measure of arc PR is 90 degrees.
For more such information on: Arc
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Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation.(2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Answer:
Here's what I get.
Step-by-step explanation:
Part A. Equation in standard form
The question is asking you to find the equation of a straight line that passes through two points
Let x = the number of days
and y = the cost
Then the coordinates of the two points are (2,225) and (5,480).
(i) Calculate the slope of the line
[tex]\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}[/tex]
In other words, the daily rental is $85/day.
(ii) Calculate the y-intercept
[tex]\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}[/tex]
(iii) Write the equation for the line
y = 85x + 55
That is, the cost is $55 plus $85/day
Part B. Equation in function notation
Replace y with ƒ(x)
ƒ(x) = 85x + 55
Part C. Graphing
Let's say you want to plot a graph of the rental cost for up to ten days.
(i) Calculate two points on the graph.
When x = 0, y = 85; when x = 10, y = 905.
(ii) Scale your axes
A good number of intervals is about ten.
Your x-axis should have tick marks at 1-day intervals.
Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.
Your y-axis will run from 0 to $1000 in $100 intervals.
Plot your two points and draw a straight line through them.
(iii) Axis labels
x represents the number of days, so the label on the x-axis could be "No. of days."
y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."
Your graph should resemble the one below.
Using pie! 3.14 calculate the areas of the circles with diameter of 21 and leave your answer in 2 demical place
If we use 3.14 as pi, the areas of these circles are 415.265 square units (I recommend rounding up to 415.27 unless it says otherwise).
Step-by-step explanation:
To find the area of a circle, square the radius and multiply it by pi. To find the radius, we divide the diameter by 2 to get 11.5. Then, square 11.5 to get 132.25 and multiply by pi, or 3.14, to get 415.265, rounding up to 415.27 square units.
Traffic on saturday, it took ms. torres 24 minutes to drive 20 miles from her home to her office. during friday's rush hour, it took 75 minutes to drive the same distance.
a. what was ms. torres's average speed in miles per hour on saturday?
b. what was her average speed in miles per hour on friday?
Answer:
a. 50 mph.
b. 16 mph.
Step-by-step explanation:
a.Convert minutes to hours using dimensional analysis:
[tex]\displaystyle \rm 24 \; minutes \times \frac{1\; hour}{60\; minutes} = \frac{2}{5}\; hours[/tex].
Average speed is distance traveled over time taken:
[tex]\displaystyle \text{Average Speed} = \frac{\text{Distance Traveled}}{\text{Time Taken}} = \rm \frac{20\; miles}{\dfrac{2}{5}\; hours} = (20 \times \frac{5}{2})\; mph= 50\; mph[/tex].
b.Similarly,
[tex]\displaystyle \text{Time Taken} = \rm 75 \; minutes \times \frac{1\; hour}{60\; minutes} = \frac{5}{4}\; hours[/tex].
[tex]\displaystyle \text{Average Speed} = \frac{\text{Distance Traveled}}{\text{Time Taken}} = \rm \frac{20\; miles}{\dfrac{5}{4}\; hours} = (20\times \frac{4}{5})\; mph= 16\; mph[/tex].
PLEASE HELP I WILL GIVE BRAINLIEST What is the last step in constructing this equilateral triangle?
Answer:
A. Draw line segment AB
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
B
Step-by-step explanation:
The Guy Above Got It Wrong On The Exam.
If f(x) = -5x + 1 and g(x) = x3, what is (gºf)(0)?
Enter the correct answer
Answer:
1
Step-by-step explanation:
To evaluate (g ￮ f)(0), substitute x = 0 into f(x) then substitute the value obtained into g(x), that is
f(0) = 5(0) + 1 = 0 + 1 = 1, then
g(1) = 1³ = 1
The area of a rectangle is 16 square units. Use the grid to draw what the rectangle could look like.
Answer:
8 * 2
Step-by-step explanation:
When you draw the rectangle make it an 8 units by 2 units rectangle.
Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2.
A. –23
B. –4
C. 5
D. –3
Answer:
Step-by-step explanation:
(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43
Susan invested part of her $15,000 bonus in a find that paid and 11% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall net profit was $850.
Answer:
$10,000 in the 11% fund$5,000 in the stockStep-by-step explanation:
Let f and s represent the amounts invested in the fund and in stocks, respectively. The problem statement gives rise to two equations:
f + s = 15000 . . . . . . . Susan invested a total of 15000
0.11f + (-0.05)s = 850 . . . . . her total return was 850
These can be solved by any of a variety of methods. Using elimination, we can multiply the second equation by 20 and add it to the first:
20(0.11f -0.05s) +(f + s) = 20(850) +15000
3.2f = 32000 . . . . . . . . . simplify
f = 10000
s = 15000 -f = 5000
Susan invested $10,000 in the fund and $5,000 in stock.
Company X can install chairs in a theater in 10 hours company Y can install them in 15 hours. How long would the two companies working together need to install the chairs?
Answer: 6 hours
Step-by-step explanation:
Given : The time taken by Company X to install chairs : [tex]t_1=10\text{ hours}[/tex]
The time taken by Company Y to install chairs : [tex]t_2=15\text{ hours}[/tex]
Then , the time taken (T) by both of them to install the chairs if they work together is given by :-
[tex]\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{10}{60}\\\\\Rightarrow\ T=6[/tex]
Hence, it will take 6 hours to the two companies if they working together .
PLS HELP SHOW ALL YOUR WORKING OUT AND THE CORRECT ANSWER WILL RECIEVE BRAINLIEST
Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00.
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15
Answer:
1.39x=15
Step-by-step explanation:
each song is worth 1.39 dollers
If there are x songs, the total value would be 1.39x
1.39x=15
Answer:
Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00.
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15
Step-by-step explanation:
The equation is the following:
1.39x = 15
15 $ is what you have to download the songs, and each unit is 1.39 $, by clearing the X of the equation, it is 15 / 1.39, and the result is the number of songs that Mercedes can download.
Help with this question, please!! I am on a time limit!
Answer:
C)
Explanation:
Movement along a vector is compared by adding, subtracting, multiplying, or dividing the values respectively.
Need help with a math question
Answer:
x=13°
Step-by-step explanation:
If BE is an angle bisector, then it divides the angle into two equal angles. This means that
∠ABE=∠EBC
Since ∠ABE=2x+20 and ∠EBC=4x-6, we have
2x+20=4x-6
2x-4x=-6-20
-2x=-26
2x=26
x=13°
What are the zeros of the function shown in the graph?
Answer:
the zeros are -3,-1, and 1
Step-by-step explanation:
zeros are nothing more that where the function crosses or touches the x-axis
Answer: Third Option
-3, -1, 1
Step-by-step explanation:
By definition, the zeros of a function f(x) are all the values x for which f(x) = 0.
In other words, the zeros of a function f(x) are the intersections of the graph of f(x) with the axis of x.
Therefore, to identify the zeros of the function shown, identify the values of x in which the graph intersects the horizontal axis.
You can see in the graph that these intersections occur in
[tex]x = -3\\x = -1\\x = 1[/tex]
Finally the zeros are: -3, -1, 1
The area of the base of a cylinder is found by dividing the volume of the cylinder by its height. If the volume of the cylinder is represented by 5x2 + 15x + 2 and the height is 5x, which expression represents the area of the base?
Answer:
Area = x + 3 + [tex]\frac{2}{5x}[/tex]
Step-by-step explanation:
Volume = 5x² + 15x + 2
Height = 5x
Area = Volume ÷ Height
Area = 5x²/5x + 15x/5x + 2/5x
Area = x + 3 + 2/5x
Answer:
x+3+2/5x
Step-by-step explanation:
2.
Find the coordinates of the midpoint of the segment whose endpoints are H(8, 13) and K(10, 9).
(9, 11)
(5, 6)
(1, 2)
(2, 4)
Answer:
(9,11)
Step-by-step explanation:
The given points are H(8,13) and K(10,9).
By using mid point formula,
(x, y) =(x1+x2, y1+y2)
2 2
= (8+10)2/, (13+9)/2
= 18/2, 22/2
= (9,11)
Which of the following gives all values of b that satisfy the inequality above?
A) b<-1
B) b>-1
C) b<1
D) b>1
Answer:
A
Step-by-step explanation:
[tex]\frac{1}{5} (7-3b) > 2[/tex]
[tex]=> 7-3b > 10\\=> 7-10 > 3b\\=> -3 > 3b\\=> -1 > b[/tex]
7. Which of the following relations is a function?
A.{(2, 3), (-2, 3), (3, 2), (-3,-2)}
B.{(8,-4), (-4, 8), (-4, -8), (-8,4)}
C.{(9, -1), (-1, 9), (9, 2), (2, -1)}
D.{(5, -7), (4, 6), (-3, 8), (5,9)}
A function means that each x can only have one y-value
B, C, and D are NOT functions because they have x-values that have multiple y-values.
For example
B. has two values for -4:
(-4, 8) and (-4, -8)
C. has two values for 9:
(9, -1) and (9, 2)
D. has two values for 5:
(5, -7) and (5, 9)
This makes A. the only function
Hope this helped!
~Just a girl in love with Shawn Mendes
PLEASE HELP ME WITH THIS MATH QUESTION
Answer:
The answer to your problem is 13%
There are 4 male freshmen and 30 students total.
Divide the amount of male freshmen by the amount of students and turn it into a percentage.
4/30= 0.1333 = 13%
Solve for x. Round your answer to the nearest thousandth.
a. 7.08 c. 8.442
b. 23.869 d. 10.903
Please select the best answer from the choices provided A B C D
Answer:
7.08
Choice A
Step-by-step explanation:
From the right-angled triangle we have been given the following;
One angle - 33 degrees
The hypotenuse - 13 units
We are required to determine the length of the side, opposite the angle, marked x.
Using the Mnemonic; SOHCAHTOA
The sine of an angle is; (opposite side)/(hypotenuse)
Therefore;
sin 33 = x/13
x = 13 * sin 33
x = 7.080
Answer: A
Step-by-step explanation:
What is the domain of y=log_5x
[tex](0. \infty)[/tex]
Step-by-step explanation:Since this is a logarithmic function, the domain is [tex](0. \infty)[/tex]. But what is the domain of a function? The domain of a function is the set of inputs. This is so, because for any logarithmic function[tex]y=log_{a}(x)[/tex], x must be greater than 0. So this function is continuous and has an x-intercept at [tex](1,0)[/tex], and y increases as x increases. Finally, its graph is shown below.