Answer:
267
Step-by-step explanation:
20,000/75= 266.666666
round up to 267
Fifteen of the 25 students in the class are boys what percent of the students are boys
Answer:
60%
Step-by-step explanation:
15 of the 25 students are boys
number of boys over the total number of students in the class multiplied by 100% gives the percentage of boy students in the class
=15/25 ×100%
=60%
Write an equation for the line that is parallel to the given line and that passes though the given point
y = 4x -21 (again cool name btw) :)
y=4x-3 has slope = to the coefficient of the x term = 4
all parallel lines have the same slope.
y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation
y=4x+b = -5 = 4(4) + b
-5 = 16 + b
-21 = b
b = -21 = the y intercept, so the equation is
y=4x -21
PLEASE HELP I NEED TO TURN THIS IN RIGHT NOW
James measures the water level from the top of a dock twice a day. The water level in the
morning is -2 feet. The water level in the afternoon is -6.5 feet. Which statement about the
relationship between the two measurements is true?
A. A water level of -6.5 feet is higher than a water level of -2 feet, as -6.5 > -2.
B. A water level of -2 feet is lower than a water level of -6.5 feet, as -2>-6.5.
C. A water level of -6.5 feet is the same as a water level of -2 feet, as -6.5 = -2.
D. A water level of -2 feet is higher than a water level of -6.5 feet, as -2> -6.5.
Answer:Letter D
Step-by-step explanation:If James is measuring the water level in the morning and it’s -2 feet and the water in the afternoon is -6.5 -2 is closer to the dock than -6.5 so it’s greater than -6.5 feet.
A circle with center O is inscribed in a square with a
perimeter of 40, as shown below. What is the area of the
shaded region?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Areas and Volumes.
Area of Shaded region = Area of Square - Area of inscribed Circle.
Radius if circle = 10/2 ==> 5 units
hence,
Area of circle = 25 π units
Area of square = (10)^2 ==> 100 units
hence the area of shaded region = 100 - 25π
==> Area of shaded region = 25 (4 - π)
Correct option is G.)
Peter set up the iron board to iron his shirt. 3 If m 3 is 65°, what is the measure of its vertical angle? OA. 155° OB. 65 OC. 25° OD. 115°
Answer:
the same 65 degrees
Step-by-step explanation:
If you borrow $1000 for 5 years at an interest rate of 10%, the amount of interest you pay is?
Answer:
p=1000
t=5 years
r=10%
i=(ptr)/100
i=(1000×5×10)/100
i=50000/100
i=500
The weights of 1500 bodybuilders are normally distributed with a mean of 190.6 pounds and a standard deviation of 5.8 pounds.
A. About how many bodybuilders are between 180 and 190 pounds?
B. What is the probability that a bodybuilder selected at random has a weight greater than 195 pounds?
Answer:
A. 637
B. 0.2240 (4 dp) = 22.4% (nearest tenth)
Step-by-step explanation:
Normal Distribution
[tex]\sf X \sim N(\mu, \sigma^2)[/tex]
Given:
[tex]\sf \mu = 190.6[/tex][tex]\sf \sigma=5.8[/tex][tex]\implies \sf X \sim N(190.6, 5.8^2)[/tex]
Part A[tex]\begin{aligned}\sf P(180 < X < 190) & = \sf P(X < 190)-P(X\leq 180)\\& = \sf 0.4588035995-0.03380583874\\& = \sf 0.4249977608\end{aligned}[/tex]
Total number of bodybuilders = 1500
Therefore, the number of bodybuilders between 180 and 190 pounds is:
[tex]\begin{aligned}\sf P(180 < X < 190) \cdot1500 & = \sf 0.4249977608 \cdot 1500\\& = \sf 637.4966412\\& = \sf 637\end{aligned}[/tex]
Part B[tex]\begin{aligned}\sf P(X > 195) & = \sf 1-P(X\leq 195)\\& = \sf 1-0.7759602537\\ & = \sf 0.2240397463\\ & = \sf 0.2240\:(4\:dp)\end{aligned}[/tex]
People use water to cook, clean, and drink every day. An estimate of 19.8% of the water used each day is for cooking. If a family uses 69.3 gallons of water a day for cooking, how many gallons do they use every day?
Answer: 350 gallon
Step-by-step explanation:
If 19.8% is 69.3gallons
1% is 69.3/19.8
100% used is 69.3/19.8 × 100/1
3/2+9/9= ???? Help me please...
Answer:
3/2+9/9=2.5
Step-By-Step Explanation
3/2=1.5
9/9=1
1.5+1=2.5
(982x5.47)-(598x78)+28=y
Answer:
4805.38
Step-by-step explanation:
982×5.47=5371.54
598×78=46,644
5371.54-46644=4805.10
4805.10+28=4805.38
James bought a new TV. He made an initial payment of $40 to the store, and he
will pay $20 each month until the TV is paid off. Which equation represents the
relationship between x, the number of payments James has made, and y, the
total amount that James has paid the store?
-
A: y-40x+20
B: y-20
C: y - 20x-40
D: y-20x+40
Answer:
C y = 20x +40
Step-by-step explanation:
I think there is a typo in your question
monthly payment total = 20 x
total paid so far = 40 + 20x
y = 20x + 40
Find the surface area and volume of a 1-inch cube and a 10-inch cube. What is the ratio of the surface areas? What is the ratio of the volumes?
[tex]\maltese \: \: \underline{\underline{\frak{Understanding~the~question :-}}} \\ \\[/tex]
For solving this question, we will take the help of the branch of mathematics that studies the sizes of different shapes may they be 2D or 3D, called mensuration.
⠀
There are two parts in the question, in the first part we have been asked to calculate the ratio of the total surface area of the two cubes, for that we will calculate their total surface areas and divide them in order to calculate the ratio. In the second part, we have been asked to calculate the ratio of the volume of the two cubes, and in order to calculate the ratio, at first we will calculate the volumes of the respective cubes and then divide them. And, thus, in this way, we will get our required answer.
⠀
[tex] \maltese \: \underline{ \underline{ \frak{Given :-}}} \\ \\ [/tex]
Two cubes in which the sides measure,
Cube 1 say A = 1 inchCube 2 say B = 10 inch⠀
[tex] \maltese \: \: \underline{ \underline{ \frak{Formula~Applied :-}}} \\ \\ [/tex]
[tex] \bigstar \begin{cases} \sf 1.~Volume_{cube} = {a} ^3\\ \\\sf 2.~T.S.A._{cube} = 6{a}^2\end{cases} \\ \\ [/tex]
[tex] \maltese \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ [/tex]
Calculating the total surface areas,
⠀
[tex] \sf \longrightarrow TSA \: of \: A = 6( {1)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A =6 \times 1 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A = {6 \: inch}^{2} \\ \\ [/tex]
[tex]\sf \longrightarrow TSA \: of \: B =6 {(10)}^{2} \: \: \: \: \: \: \\ \\ \\\sf \longrightarrow TSA \: of \: B =6 \times 100 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: B = {600 \: inch}^{2} \\ \\ [/tex]
Thus, now we can calculate the ratio,
⠀
[tex]\sf \longrightarrow Ratio = \dfrac{TSA~of~A} {TSA~of~B} \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{1}{100} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 100 \: \: \: \: \: \: \\ \\ [/tex]
Thus, the ratio of the total surface area of the cubes is 1 : 100. Now, moving to the second part of the question, and calculating the volume of the cubes, we have,
⠀
[tex]\sf \longrightarrow Volume \: of \: A= {(a)}^{3 } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {(1)}^{3} \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {1 \: inch}^{3} \\ \\ [/tex]
[tex]\sf \longrightarrow Volume \: of \: B = {(a)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {(10)}^{3} \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {1000 \: inch}^{3} \\ \\ [/tex]
Now, calculating the ratio,
⠀
[tex]\sf \longrightarrow Ratio =\dfrac{Volume ~of~A} {Volume~of~B} \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{ {1 \: inch}^{3} }{1000 \: {inch}^{3} } \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel\dfrac{ {1 \: inch}^{3} }{ {1000 \: inch}^{3} } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 1000 \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the ratio of the volume of the cubes is 1 : 1000.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
If you can mow 90 lawns in 45 hours, how long will it take to mow 12?
Work Shown:
(90 lawns)/(45 hours) = (12 lawns)/(x hours)
90/45 = 12/x
2 = 12/x
2x = 12
x = 12/2
x = 6
It takes 6 hours to mow 12 lawns.
Drag the numbers to order them from greatest to least, with the greatest at the top.
Answer:
the order that they are in right now is right
Step-by-step explanation:
PLEASE HELP FAST ITS ABOUT GEMONETRY D:
what is the area of a 14cm square?
Answer:
The area would be 196 cm or 1.96 meters.
Step-by-step explanation:
Since it is a square, all of the sides are the same length.
So we do 14*14 to find the area.
14*14 = 196
So the answer is 196 cm or 1.96 meters.
From her
eye, which stands 1.68 meters above the ground, Hannah measures the
angle of elevation to the top of a prominent skyscraper to be 31°. If she is standing at
a horizontal distance of 194 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.
The tangent or tanθ function of trigonometry is the ratio of its perpendicular to its base in a right triangle. The total height of the sky scrapper is 118.25 meters.
What is Tangent (Tanθ)?The tangent or tanθ function of trigonometry is the ratio of its perpendicular to its base in a right triangle. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Since the horizontal distance between Hannah's eyes and the sky scrapper is 194 meters while the angle between the eye and the top of the sky scrapper is 31°. Therefore, the vertical height of the sky scrapper from the height of Hannah's eye level, using the tangent function can be written as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\\\\\\tan(31^o) = \dfrac{\text{Height of sky scrapper from eye level}}{194\ meters}\\\\\\\text{Height of sky scrapper from eye level} = 116.567\ meters[/tex]
Since the height of the eye level is 1.68 meters from the ground, therefore, the total height of the sky scrapper can be written as,
[tex]\rm \text{Total height of sky scrapper from ground}\\\\=(\text{Height of sky scrapper from eye level}) + 1.68\ meters\\\\= 116.567 + 1.68\\\\= 118.25\ meters[/tex]
Hence, the total height of the sky scrapper is 118.25 meters.
Learn more about Tangent (Tanθ):
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Please Help i need to know this asap
Answer:
(0, - 6)
Step-by-step explanation:
Midpoint Formula
M = (x₁ + x₂ / 2, y₁ + y₂ / 2)Solving
M = (-3 + 3 / 2, -7 - 5 / 2)M = (0, -12/2)M = (0, - 6)Answer:
The midpoint is (0, -6)
Step-by-step explanation:
Step 1: Determine the midpoint
[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex]midpoint = (\frac{-3 + 3}{2}, \frac{-7 + (-5)}{2})[/tex]
[tex]midpoint = (\frac{0}{2}, \frac{-7 -5}{2})[/tex]
[tex]midpoint = (0, \frac{-12}{2})[/tex]
[tex]midpoint = (0, -6)[/tex]
Answer: The midpoint is (0, -6)
The price of a pack of kitchen rolls is reduced by
1/6
The new price is £1.20
Work out the original price.
Answer: 1.44
Step-by-step explanation: 1.20 Is the remaining 5/6 which is 83.3%
Calculate for 100% to get actual amount
If 83.3% = 1.20
1% = 1.20/83.3
100% = 1.20/83.3 ×100/1
The original price is equal to £7.2
What are the cost price and selling price?1. Cost price = Selling price − profit ( when selling price and profit are given )
2. Cost price = Selling price + loss ( when selling price and loss are given )
Given here: New price =£ 1.20
let the original price be x then we have
x/6 = 1.20
x=£7.2
Hence, The original price is £7.2
Learn more about cost price here:
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Which of the binomials below is a factor of this trinomial?
x2 + 6x-40
A. x2 + 10
B. X+6
C. *- 6
D. X-4
Answer:
D. x - 4
Step-by-step explanation:
(x - 4)(x + 10)
= x^2 + 6x - 40
A factor is something that multiplies together with something else to get a product. Here the factors are binomials and the product is a trinomial.
Use the long division method to find the result when 4x3 -2x2 – 15x + 6 is
divided by x-2
Answer:
[tex]4x^2+6x-3[/tex]
Step-by-step explanation:
"/" substitutes the normal division symbol
[tex]4x^2[/tex] [tex]+6x[/tex] [tex]-3[/tex]
______________
[tex]x-2/4x^3-2x^2-15x+6[/tex]
[tex]4x^3[/tex] [tex]-8x^2[/tex]
______________________
[tex]6x^2[/tex] [tex]-12x[/tex]
______________________
[tex]-3x+6[/tex]
x multiplied by what equals [tex]4x^3[/tex]? [tex]x(4x^2)=4x^3[/tex], so the first number that goes on top is [tex]4x^2[/tex]. Multiply x by [tex]4x^2[/tex] and put it below to the [tex]4x^3[/tex] on the first row. Multiply x-2 by [tex]4x^2[/tex] and put it below the [tex]-2x^2[/tex] . Subtract the first row from the second row.
x multiplied by what equals [tex]6x^2[/tex]? [tex]6x[/tex]. Repeat the same process as before except with [tex]6x^2[/tex]
A(n)is used to uncover conditions and trends difficult to see by looking at individual amounts. It can be expressed as a percent, rate, or proportion.
A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.
What is ratio?Ratio is used to show or express the number of times a number is in proportion to another number.
Ratio can be inform of the following:
Example of ratio is 1:2 or 1/2.
Therefore A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.
Learn more about ratio here:https://brainly.com/question/2328454
PLEASE HURRY
The number of points Darin scores in a basketball game can be found using the expression 3s + 2t + u, where s is the number of three-point field goals made, t is the number of two-point field goals made, and u is the number of free throws made.
How many points did Darin score in a game where he made 2 three-point field goals, 5 two-point field goals, and 3 free throws?
A. 16
B. 19
C. 22
D. 25
Answer:
Option B - Darin scores in a basketball game is 19 Points
Step-by-step explanation:
Darin scores in a basketball game = 3s + 2t + u
where s is the number of three-point field goals made,
t is the number of two-point field goals made,
u is the number of free throws made.
Darin scores in a basketball game = 3(2) + 2(5) + 3
= 6 + 10 + 3
= 19 Points
Hope this helps!
The function f(x) = 2* and g (x) = f(x) + k. If k = 2, what can be concluded about the graph of
g (x)?
Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
We have then:
f (x) = 2 ^ x
g (x) = f (x) + k
if k = 2
then,
the graph of g (x) is shifted vertically 2 units up
Answer:
the graph of g (x) is shifted vertically 2 units up
6834/17 please show your work
Answer:
6834 / 17 = 402
Step-by-step explanation:
• sorry i d k, I just got the ans on calculator
Sam buys a DVD player for $55. 95 and it is on sale for 40% off regular price. How much money will same save
Answer:
$ 22.38
Step-by-step explanation:
If the pre-sale price is $ 55.95
40 % of this would be .4 * 55.95 = $ 22.38
Solve this to sin , and pls explain .
I do have exams for tomorrow.
Answer:
sinΘ =1
Step-by-step explanation:
cosΘ × cosΘ/sinΘ+ sinΘ = sinΘ
cos^2 Θ/sinΘ +sinΘ =sinΘ
cos^2Θ+ sin^2Θ /sin Θ = sinΘ
1/sinΘ =sinΘ
Arlo researched the starting salaries at the different companies that he applied to. Here is the data he found:
$24,640
$26,740
$23,620
$25,520
$24,710
$25,180
$25,520
$24,750
$24,710
$23,860
Find the mean, median, and mode of the data set. Show your work. (10 points)
Step-by-step explanation:
median -> $24.710+$25.180=$49.89
$49.98÷2=$24.945
mode -> $25.520 and $24.710
mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25
$249.25÷10=$24.925
mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)
median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)
mode (the number you see the most, mode *most*)
I hope all this helped, this took time. Take care!
A 64-ounce bottle costs $3.45. What is the cost per ounce? Round answer to the nearest cent.
Answer:
$0.05
Step-by-step explanation:
3.45 divided by 64
please help mee
Part A: If (2^6)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer. (5 points)