Answer:
a: Angle 1 and Angle 3
b: Angle 8 and Angle 5
c: Angle 2 and Angle 9
d: Angle 5 and Angle 3
e: none of the above
Stevens high school has 800 students every Wednesday 3% of the students stay after for chess club how many students attend chess club on Wednesdays
Answer: To find out how many students attend chess club on Wednesdays, we need to calculate 3% of the 800 students at Steven's high school. To do this, we multiply the number of students by 3% (which is equivalent to 0.03):
800 x 0.03 = 24
So, 24 students attend chess club on Wednesdays.
Step-by-step explanation:
Answer:
Step-by-step explanation:
W^2+2+48 divided by 28
Key: w=5
X=3
Y=4
Z=8
Step by step?
The solution to the algebraic expression w² + 2 + 48 ÷ 28 is 2.68
How to solve algebra?w² + 2 + 48 ÷ 28
Where,
w=5
X=3
Y=4
Z=8
w² + 2 + 48 ÷ 28
substitute w = 5 into the expression
= 5² + 2 + 48 ÷ 28
= 25 + 2 + 48 ÷ 28
Add
= 75 ÷ 28
divide
= 2.678571428571428
Approximately,
2.68
In conclusion, 2.68 is the solution to the given expression.
Read more on algebra:
https://brainly.com/question/4344214
#SPJ1
look at the inequality below
-6>13+5x
which of these values of x makes the inequality true
a.-3.9
b.-1.2
c.-7/15
d.3/13
< A and < B are complementary angles.
Find the measure of
16
34
46
100
Step-by-step explanation:
Complementary angles add up to 90 degrees, so if one angle is known, the measure of its complement can be found by subtracting it from 90 degrees.
If <A is 16 degrees, then <B is 90 - 16 = 74 degrees.
If <A is 34 degrees, then <B is 90 - 34 = 56 degrees.
If <A is 46 degrees, then <B is 90 - 46 = 44 degrees.
If <A is 100 degrees, then <B is 90 - 100 = -10 degrees. However, angles can't be negative, so this solution is not valid.
For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true. Write your solutions in the form of an ordered pair (x,y).
1)6x=7y
2) 5x+3y=9
3) y+5-(1/3)x =7
The solutions are given in the ordered pairs.
What is an equation?An equation is a statement that asserts the equality of two expressions, the expressions are written one on each side of an '=' equal to sign.
We have to choose a value for x to find the corresponding y value to make the equation true.
1)6x=7y
To find x:
divide both sides by 6.
We get, [tex]\frac{6x}{6} =\frac{7y}{6}[/tex]⇒[tex]x=\frac{7y}{6}[/tex]
To find y:
divide both sides by 7.
We get, [tex]\frac{6x}{7} =\frac{7y}{7}[/tex] ⇒ [tex]y=\frac{6x}{7}[/tex]
Therefore solution for the given equation is [tex](\frac{7y}{6} ,\frac{6x}{7})[/tex]
2) 5x+3y=9
To find x:
subtract 3y from both sides,
⇒ 5x=9-3y then divide 5 on both sides,
⇒ [tex]\frac{5x}{5}=\frac{9-3y}{5}[/tex]⇒ [tex]x= \frac{9-3y}{5}[/tex]
To find y:
subtract 5x from both sides.
⇒3y=9-5x, then divide by 3 on both sides we get,
[tex]\frac{3y}{3}=\frac{9-5x}{3}[/tex]⇒[tex]y=\frac{-5x}{3}+3[/tex]
The solution for this equation is [tex](\frac{9-3y}{5},\frac{-5x}{3}+3)[/tex]
3) y+5-(1/3)x =7
To find x:
subtract y-5 from both sides we get,
[tex]-\frac{1}{3}x=2-y[/tex] then multiply both sides by -3,
[tex]\frac{\frac{-1}{3}x }{\frac{-1}{3}}=\frac{2-y}{\frac{-1}{3}}[/tex]⇒x=3y-6
To find y:
Subtract 5 from both sides.[tex]y-\frac{1}{3}x = 7-5[/tex] and add [tex]\frac{1}{3} x[/tex]
we get, [tex]y=2+\frac{1}{3}x[/tex]
The solution for this equation is ([tex](3y-6, 2+\frac{1}{3})[/tex]
Hence, the solutions are given in the ordered pairs.
Learn more about equations here:
https://brainly.com/question/23752439
#SPJ9
A candle burns 2 inches per hour. After burning for 2 hours, the candle was 5 inches
long. If one the candle has been burning for 240 minutes, how long is the candle?
Write an equation that models the situation.
The length of the candle that has been burning for the total of 240 minutes would be = 9 inches.
How to calculate the length of the candle?The rate at which a candle burns = 2 in/ 2 hours
That is,
2 in = 2 hour; 2 inches = 120 minutes
X in = 240 minutes
Make X the subject of formula;
X = 2×240/120
X= 480/120
X = 4+5
X = 9 inches
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
need solution to this
Let's first understand what's relative here, it refers to Point of reference , the point, in respect to which other's position are to be considered, which here is O, the Origin with coordinates (0,0) as we are talking about two-dimensional reference frame. What position vector means? Say, we have the point of Reference X, and we've the position vector of Y with respect to X, then it can be written as [tex]{\overrightarrow{XY}}[/tex]. Now, using this simple rule we can have,
[tex]{\overrightarrow{OA}=-2\hat{i}+7\hat{j}}[/tex][tex]{\overrightarrow{OB}=2\hat{i}-\hat{j}}[/tex][tex]{\overrightarrow{OC}=6\hat{i}+\lambda \hat{j}}[/tex]Now, let's calculate [tex]{\overrightarrow{AC}}[/tex] firstly;
[tex]{:\implies \overrightarrow{AC}=\overrightarrow{OC}-\overrightarrow{OA}}[/tex]
[tex]{:\implies \overrightarrow{AC}=8\hat{i}+(\lambda -7)\hat{j}}[/tex]
Now, here [tex]{AC}[/tex] just means the the magnitude of the vector [tex{\overrightarow{AC}}[/tex], and we're aware that magnitude of a vector [tex]{\overrightarrow{X}=x\hat{i}+y\hat{j}}[/tex] is given by, [tex]{X=\sqrt{x^{2}+y^{2}}}[/tex], so according to question;
[tex]{:\implies \sqrt{64+(\lambda -7)^{2}}=17}[/tex]
Squaring both sides;
[tex]{:\implies (\lambda -7)^{2}=289-64=225}[/tex]
[tex]{:\implies \lambda -7=\pm 15}[/tex]
[tex]{:\implies \boxed{\underline{\bf{\lambda =22,\:or\:-8}}}}[/tex]
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
⦁ Multiply both sides by 2
⦁ Subtract 28 from both sides
⦁ Divide both sides by 2
⦁ Add 28 to both sides
subtract 28 from both sides ....
2x+28-28=40-28
2x= 12
x=12 Ans........
thank you!
a special domino set contains all number pairs from double-0 to double-8, with each number pair occurring only once. for example, the following domino counts as 1-4 and 4-1. how many dominos are in the set?
There are 40 dominos in the set which contains all number pairs from double-0 to double-8.
The domino set contains all number pairs from double-0 to double-8, which means that there are nine possible values for each half of the domino and they are - 0, 1, 2, 3, 4, 5, 6, 7, and 8.
Since each number pair occurs only once, we can count the total number of dominos in the set by counting the number of distinct pairs of values that can be formed by combining the numbers on the two halves of the domino.
There are 9 possible values for the first half of the domino and 9 possible values for the second half, so there are 9 x 9 = 81 possible pairs of values.
However, we need to divide this by 2 to avoid counting each pair twice, since a domino with the values A-B is the same as a domino with the values B-A.
Therefore, the total number of distinct dominos in the set is 81/2 = 40.5, but since dominos cannot be counted in halves, the closest integer number of dominos is 40.
So there are 40 dominos in the set.
Read more about Permutations and combinations:
brainly.com/question/28443757
#SPJ4
A game lasts 3/8 hours. Tammy played 12 of these games.
The total time that tammy sent in total playing games is; 4.5 hours
How to solve Fraction Word problems?The parameters given for Tammy in playing the game are;
Number of games played = 12 games
Time spent per game = ³/₈ hours
Thus;
Total time she spent playing game will be gotten by multiplying the time per game by number of games played to get;
Total time spent = ³/₈ * 12
= 9/2
= 4.5 hours
Read more about Fraction Word Problems at; https://brainly.com/question/24132459
#SPJ1
Complete question is;
A game lasts 3/8 hours. Tammy played 12 of these games. For how long did she play in total? Write your answer in simplest form.
buses from dallas to houston leave every hour on the hour. buses from houston to dallas leave every hour on the half hour. the trip from one city to the other takes 5 hours. assuming the buses travel on the same highway, how many dallas-bound buses does a houston-bound bus pass in the highway (not in the station)? buses from dallas to houston leave every hour on the hour. buses from houston to dallas leave every hour on the half hour. the trip from one city to the other takes 5 hours. assuming the buses travel on the same highway, how many dallas-bound buses does a houston-bound bus pass in the highway (not in the station)?
In the 5-hour trip from Dallas to Houston, a Houston-bound bus passes 10 Dallas-bound buses on the highway
The first step to solving this problem is to understand the time it takes for each bus to travel from one city to another. We know that the trip from Dallas to Houston takes 5 hours.
Now, let's use the concept of time to determine how many Dallas-bound buses a Houston-bound bus passes on the highway. We know that buses from Dallas to Houston leave every hour on the hour and buses from Houston to Dallas leave every hour on the half hour. This means that a Houston-bound bus leaves at 1:30 pm, 2:30 pm, 3:30 pm, and so on.
If a Houston-bound bus leaves at 1:30 pm, it will pass the first Dallas-bound bus that left at 1:00 pm after 2.5 hours. This is because the distance between the two cities is the same, and both buses are traveling at the same speed. Therefore, the Houston-bound bus will have traveled half of the distance in 2.5 hours, and it will pass the Dallas-bound bus on the highway.
Similarly, if a Houston-bound bus leaves at 2:30 pm, it will pass the second Dallas-bound bus that left at 2:00 pm after 2.5 hours. This process continues for every Houston-bound bus that leaves on the half hour.
In other words, for every hour that passes, a Houston-bound bus passes two Dallas-bound buses on the highway. Therefore,
=> (5 hours x 2 buses per hour) = 10 hours
To know more about time here.
https://brainly.com/question/28050940
#SPJ4
the number of students enrolled at a college is 15 000 and grows 3% each tear. what will be the estimated population of the school in 6 yeears
The expected student population of the school will be N(t) = 15000*(1+3%)6=17910.78.
The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration. The world population clock maintained by the US Census Bureau indicated that there were 7,922,312,800 people on the planet as of September 2022, and that number would rise to 8 billion by mid-November. China and India will have the two largest populations in the world in 2022, followed by the United States, the European Union, Indonesia, and Pakistan.
Learn more about population from
brainly.com/question/29885712
#SPJ4
COULD SOMEONE PLEASE HELP ME WITH #2!!
Which pairs of rectangles are similar polygons?
Select each correct answer.
Answer:
The corrects answers are B and D
Since you divide the same side for both the the rectangles on both parts and if the division statements are equaled, then they are similar.
Step-by-step explanation:
have a nice day.
The length of a marathon is 138,435 ft. Each stride, or step, by a particular runner is 3 ft long. Does the number of strides the runner takes fit evenly into the length of the race? Explain.
Answer:
Yes
Step-by-step explanation:
length 138,435 ÷ 3 ft stride = 46,145 equally
For the pair of similar solids, find the value of the variable
A 12 mm
B 48 mm
C 20 mm
D 3 mm
the value of the variable x that makes these two solids similar is 12mm. and explained as
Let's assume that the sides x, 24 belong to one of the solids and the sides 4, 8 belong to the other similar solid. To find the value of the variable x that makes these two solids similar, we can set up a proportion using the corresponding sides:
x/24 = 4/8
We can simplify this proportion by cross-multiplying:
8x = 24 x 4
Simplifying the right-hand side of the equation, we get:
8x = 96
Dividing both sides of the equation by 8, we get:
x = 12
Therefore, the value of the variable x that makes these two solids similar is 12. We can also use this value to find the missing side of the first solid:
x/24 = 4/8
Substituting x = 12, we get:
12/24 = 4/8
Simplifying both sides of the equation, we get:
1/2 = 1/2
This confirms that the two solids are indeed similar. We can also use the ratio of corresponding sides to find the missing side of the second solid:
x/4 = 24/8
Substituting x = 12, we get:
12/4 = 24/8
Simplifying both sides of the equation, we get:
3 = 3
This confirms that the two solids are similar and that the corresponding sides are in the same ratio. Therefore, the missing side of the second solid is 3 times its corresponding side, which is 8. Therefore, the missing side is 24.
In conclusion, the value of the variable x that makes these two solids similar is 12. The missing side of the first solid is 4 and the missing side of the second solid is 24.
To know more about corresponding sides: click here:
brainly.com/question/1597341
#SPJ4
Kelly had 64 plums. She gave her friend 16 and her sister 32 . What percentage of the plums did she have remaining. Show working
calculate the area of a rectangle in cm2 with a width of 7.6 cm and height of 3.3 cm. be sure to include the proper number of significant figures.
The width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm²
To calculate the area of a rectangle, we need to multiply its width by its height.
The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover the surface in a single coat.
Area = width x height
Substituting the given values, we get:
Area = 7.6 cm x 3.3 cm
Area = 25.08 cm²
Since the width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm² (rounded to one decimal place).
To learn more about area of a rectangle:
https://brainly.com/question/14383947
#SPJ4
Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.
R(t) = 30t − 3t^2; t = 3
a. Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.)
Answer:
-0.061 dollars per day.
Step-by-step explanation:
(R(t + h) - R(t)) / h
We can use this formula to find the average rate of change of R(t) over various time intervals h, starting with t = 3:
For h = 1 day:
R(3 + 1) = 30(3 + 1) - 3(3 + 1)^2 = 27 - 6 = 21
Average rate of change = (21 - 30(3) + 3(3)^2) / 1 = (21 - 27) / 1 = -6
For h = 0.1 day:
R(3 + 0.1) = 30(3 + 0.1) - 3(3 + 0.1)^2 = 29.7 - 8.91 = 20.79
Average rate of change = (20.79 - 30(3) + 3(3)^2) / 0.1 = (20.79 - 27) / 0.1 = -0.61
For h = 0.01 day:
R(3 + 0.01) = 30(3 + 0.01) - 3(3 + 0.01)^2 = 29.93 - 8.9699 = 20.9601
Average rate of change = (20.9601 - 30(3) + 3(3)^2) / 0.01 = (20.9601 - 27) / 0.01 = -0.061
As we can see, as the value of h decreases, the average rate of change approaches a more accurate value. The average rate of change of R(t) at t = 3 days is approximately -0.061 dollars per day.
kareem is trying to decide which college to attend full time next year. kareem believes there is a 55% chance that he will attend state college and a 33% chance that he will attend northern university. the probability that kareem will attend either state or northern is
Kareem's probability of attending either State or Northern is 0.88, meaning there is an 88% chance that Kareem will attend one of the universities.
Probability is a measure of the likelihood of an event occurring.
Kareem's case, the probability of attending State College is 55%, which means there is a 55% chance that Kareem will attend State College. The probability of attending Northern University is 33%, which means there is a 33% chance that Kareem will attend Northern University.
To determine the probability of attending either State or Northern, we add the individual probabilities of each event. Thus, the probability of attending either State or Northern is:
P(State) + P(Northern) = 0.55 + 0.33 = 0.88
The probability of attending either State or Northern is 0.88, which means there is an 88% chance that Kareem will attend one of these universities. It is important to note that the sum of all probabilities of all possible outcomes is always equal to 1.
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
910x+45=28.3
can you please help me i have been on this question forever
Answer:
x = -0.01835
Step-by-step explanation:
1) Isolate the term with the variable, 910x, by subtracting 45 on both sides:
910x + 45 = 28.3910x + 45 - 45 = 28.3 - 45910x = -16.72) Divide both sides by 910 to solve for x
What is the solution to this equation? 5(x-3)=21 what does x equal
Answer:7.2
Step-by-step explanation:
x-3=21/5=4.2
x=4.2+3=7.2
The rule (x,y)→(y,-x) takes a line to a perpendicular line. Select another rule that takes a line to a perpendicular line
The correct option is E, another rule that takes a line to a perpendicular line (x,y)→(4y,-4x) A B C D OE.
(x,y)→(y,-x)
E:(x,y)→(4y,-4x)→4(y,-x)
So E = (x,y)→(4y,-4x) A B C D OE.
Perpendicular lines play an important role in geometry and trigonometry. They are used to construct right angles, which are essential in measuring angles and finding distances between points. In construction, perpendicular lines are often used to ensure accuracy when building structures, such as walls or flooring.
Perpendicular lines also have real-world applications in navigation, surveying, and astronomy. For instance, in navigation, perpendicular lines are used to calculate a ship's course and location. In surveying, perpendicular lines are used to create precise measurements of land plots, while in astronomy, they are used to calculate distances between celestial objects.The slope of a perpendicular line is the negative reciprocal of the slope of the other line.
To learn more about Perpendicular line visit here:
brainly.com/question/2096532
#SPJ4
Complete Question: -
The rule (x,y)→(y,-x) takes a line to a perpendicular line. Select all the rules that take a line to a perpendicular line.
A. (x,y)→(2y,-x)
B. (x,y)→(-y,-x)
C. (x,y)→(-y,-x)
D. (x,y)→(0.5y,-2x)
E. (x,y)→(4y,-4x) A B C D OE
the answer is 120 I need two possible number sentences using division pls
Answer:
240/2, 360/3
Step-by-step explanation:
240/2 and 360/3 both involve division and both of their answers are equal to 120, assuming these count as number sentences.
the relationship between the amount of time a basketball player spent practicing the day before a game and the number of points he scored in the game is graphed on the scatter plot shown. scatter plot titled basketball players, with the x axis labeled time practicing in minutes and the y axis labeled points scored with points at 0 comma 10, 10 comma 15, 15 comma 18, 25 comma 25, 30 comma 28, 30 comma 30, 45 comma 35, 70 comma 40, 70 comma 45, 80 comma 45, 90 comma 50, and 120 comma 60 describe the type and degree of association in the scatter plot and what it means in terms of the time the player spent practicing and the number of points he scored in the game.
By examining the shape and degree of association on the scatter plot, we can gain insights into the nature of the relationship between the variables and make predictions about their behavior in the future.
A scatter plot is a graphical representation of a set of data that shows the relationship between two variables.
The type of association between the two variables can be identified by the shape of the scatter plot. If the points on the plot form a linear pattern, then the association is said to be linear. If the points on the plot form a curved pattern, then the association is said to be nonlinear.
The degree of association between the two variables can be determined by the strength of the correlation coefficient, which is a measure of how closely the points on the scatter plot follow a linear pattern. The correlation coefficient ranges from -1 to 1, where a correlation coefficient of 1 indicates a perfect positive linear association, a correlation coefficient of -1 indicates a perfect negative linear association, and a correlation coefficient of 0 indicates no association between the two variables.
In this scenario, if the scatter plot shows a linear pattern and the correlation coefficient is positive, it means that there is a positive association between the amount of time the player spent practicing and the number of points he scored in the game.
On the other hand, if the correlation coefficient is negative, it means that there is a negative association between the two variables, which implies that the more time the player spent practicing, the lower the number of points he scored in the game.
To know more about scatter plot here.
https://brainly.com/question/29231735
#SPJ4
Pablo paid $28.00 for a shirt. This was the markdown price after a $16.00
discount. Which equation can Pablo use to find p, the regular price of the shirt?
Answer:
Step-by-step explanation:
The original price of the hat is $35. Paolo paid $28 for the hat.
So discount for the hat is $(35-28) = $7
$7 is discounted from $35. We have to find the percentage of the discount.
To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.
So the discount percentage =
((7/35)×100) %
We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.
((1/5) ×100) %
(100/5)% = 20%
So the hat was discounted by 20%.
Which number is in the hundredths place 4982.6173
Answer:
1
Step-by-step explanation:
6 is tenths and after is 1 which is hundredths
−3 + 5 + 6g = 11 − 3g
Answer:
6g+3g=11+3-5
combine like terms
9g=11+3-5
calculate the sum of difference
9g=9
Step-by-step explanation:
reduce the greatest common factor on both sides
of the equation
g=1
which expression is equivalent to log12x^4√ x^3-2/(x+1)^5?
Answer:
D
Step-by-step explanation:
Tell me if u need explain
find an obtuse angle, θ, such that 0 ≤ θ ≤ 2π and has the same sine as -275°
please explain
The obtuse angle θ which has the same value of sin(-275) is 95°, which is in the second quadrant.
What are the different quadrants of trigonometric identities?
The first quadrant has angles between 0 and 90 degrees. The second quadrant has angles between 90 and 180 degrees. The third quadrant contains angles between 180 and 270 degrees. The fourth quadrant contains angles between 270 and 360 degrees. All six trigonometric functions have positive values in the first quadrant. The only positive values in the second quadrant are sine and cosecant. The only positive values are tangents and cotangents in the third quadrant. The only positive values in the fourth quadrant are cosine and secant.
We are asked to find an obtuse angle θ such that 0 ≤ θ ≤ 2π and has the same sine as -275°.
The value of sin(-275°) = 0.996
Since the value of sin(-275°) is positive, the angle θ should be in the first or second quadrant, because the sine of angles in the first and second quadrants is positive.
But the θ should be an obtuse angle.
So θ should be in the second quadrant.
sin(-275) = sin(360-275) = sin 85° = 0.996
sin(180 - 85) = sin(95) = 0.996
Therefore the obtuse angle θ which has the same value of sin(-275) is 95°, which is in the second quadrant.
To learn more about quadrants, follow the link.
https://brainly.com/question/28471977
#SPJ1