Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
The number of students in the class, n ≥ 9Learn more about data frequency here:
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Two companies working together can clear a parcel of land in 20 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
it's took 10 hour maybe what subject is this
The radius of the semicircle is 3 in. How long is its perimeter?
Please be accurate and explain.
Answer:
15.42 inches
Step-by-step explanation:
-formula : perimeter of semi circle= πr+2r
r=3 inch
π.3+2.3
=3π+6
≅15.42inchAnswer:
15.425 or 6+3π
Step-by-step explanation:
If the radius of the circle is 3 inches and the diameter is double the radius, we know the diameter is 6 inches. Then we find half of the perimeter of a circle with radius 3. The perimeter formula of a cirle is 2πr. Plugging in the radius we get: 2(3)π or 6π. Then we divide by 2 as it is a semicircle and get 3π or ≈9.425. We add 6 to this and we get the answer of 15.425 or 6+3π.
Lisa's living room is 21 feet wide. If the length is 4 feet less than twice the width, what is the area of her living room?
square feet
Answer:
21+21=42
42-4=38
21x38=798sq ft
Step-by-step explanation:
Find the quotient.
3/8÷ 2/7
3/28
1 5/16
16/21
1 3/28
Answer:
B
Step-by-step explanation:
[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]
Help help help help math
Okie 3 more questions and I’m done with math please please please
Answer:
6x - 20 = 4x + 50
2x = 70
x = 35
6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.
7. Factor and solve the following equation 2x2 + x - 21 = 0.
8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.
9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.
[tex]\rule{2000pt}{1000000pt}[/tex]
A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70km, how far did he travel by train?
Answer:
The man traveled 20km by train.
Step-by-step explanation:
If x is the distance he traveled by train, you can write this equation to represent the situation:
[tex]10+x+2x=70[/tex]
Then, you can simply solve for x:
[tex]10+3x=70\\3x=60\\x=20[/tex]
The man traveled 20km by train.
[tex]10+(20)+2(20)=70\\10+20+40=70\\70=70[/tex]
Elijah was six times as old as his son. In twelve years he will be twice as old as his son. How old are they now
To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.
The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.
eight years ago = x - 8
Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.
Now, putting this all together gives us our first equation:
x - 8 = 6(y - 8)
We can now rewrite this equation in standard form:
x - 8 = 6y - 48 ----->
x - 6y = -48 + 8 ----->
x - 6y = -40 <----- this is our first linear equation
To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:
x + 12 = 2(y + 12)
Now, we need to rewrite this equation in standard form:
x + 12 = 2y + 24 ----->
x - 2y = 24 - 12 ----->
x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:
x - 6y = -40
x - 2y = 12
Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:
x - 6y = -40
-x + 2y = -12
Now we can add both equations together:
x - x - 6y + 2y = -40 + -12 ----->
-4y = -52
Solve for y, by dividing both sides of the equation by -4, giving us:
y = 13
So, now we know the son's age: 13
To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:
x - 6(13) = -40 ----->
x - 78 = -40 ----->
x = 78 - 40 ----->
x = 38
Therefore, Mr. Fontana is 38 years old and his son is 13 years old.
Bidmass working out questions
Answer:
The answer will be 0
Step-by-step explanation:
Let me know Hope it helps
What is the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contain 3 red, 2 black, and yellow marbles?
Answer:
1/12
Step-by-step explanation:
rolling 4 on a cube= 1outcome/6 total=1/6
pulling red marble= 3 possible red marble/6 total marbles=1/2
1/6*1/2=1/12
Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.
Write and solve an equation to determine the range of text messages you can send with the 2008 plan without spending more than $100.
If you have a phone, look at your data summary. Is this range your average daily number, weekly number, or monthly number of texts? Determine how much you would have paid for the month if you had the 2008 text plan? Write this as an equation and solve It.
80 POINTS!!!!
Answer:
You can send 405 texts in 2008 without going over 100$
Step-by-step explanation:
Equation for 2008:
59$ for 200 texts + .20 dollars per text after that < or = $100
So minus $59 dollars
.20 * (number of txts) < 100 - 59
.20 * (number of txts) < 41
divide both sides by .2
number of txts < or = 205
so therefore you can send exactly 405 texts without going over $100
Then to find how much you would pay plug into this equation
If total number of texts is lower than 200 texts, then you would be paying $59, but if it is more then plug into the following equation
(Total number of texts - 200) * .20 + 59 = Total $ spent for a 2008 text plan per month.
The total number of texts that can be sent is 405 texts in 2008 without going over 100$. The amount will be $99.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The equation for 2008:
59$ for 200 texts + 0.20 dollars per text after that < or = $100 and minus $59 dollars
0.20 x (number of texts) < 100 - 59
0.20 x (number of texts) < 41
Divide both sides by 0.2
number of texts < or = 205
405 texts can be sent without going over $100
If the total number of texts is lower than 200 texts, then you would be paying $59, but if it is more then plug into the following equation
(Total number of texts - 200) x 0.20 + 59 = Total $ spent for a 2008 text plan per month.
( 405 - 200 ) x 0.2 + 59 = $99
Therefore, the total number of texts that can be sent is 405 texts in 2008 without going over 100$. The amount will be $99.
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i have a question yall
Even though you can take drivers ed at 14 but you cant get ur license till 15 would you take drivers ed at 14 or 15
answer asap
PLEASE HELP ME WITH GEOMETRY PLS AND TANKYOU
Answer:
68
Step-by-step explanation:
because 180-44=136
136:2=68 (since TRS=TSR, there is formula)
QUESTION 23.PLEASE HELP ASAP
Answer:
None
Step-by-step explanation:
Answer:none
Step-by-step explanation:i know how to do math
Which of the following is most likely the next step in the series?
A?
B?
C?
D?
Answer:
c
Step-by-step explanation:
each shape has one more side than the other
the last shape in the pattern so far has 5
the shape at letter c has 6
therefore it is c
Find the values of the variables.
isosceles trapezoid
Side measures are: 4, 2x, 2x + 2 and 4x +3
X=
Answer:
x=-1/2
Step-by-step explanation:
2x+2=4x+3
-1=2x
x=-1/2
7) If a point is randomly chosen on the square shown, what is the probability that it will be in the red section of the figure? A) 1/4 B) 1/3 C) 1/2 D) 3/4
Answer:
1/4
Step-by-step explanation:
1/4 because it is one piece out of the four cuts. if it were yellow, than it would be 2/4, or 1/2
need help with this problem
Check the picture below.
the orthocenter of a triangle is at the origin, and two of the vertices of the triangle are at (-5,0) and (3,4) Find the third vertex of the triangle
Answer:
(3, -6)
Step-by-step explanation:
The orthocenter is the point of intersection of the altitudes of the triangle. That is, each altitude goes through the orthocenter. Hence, the line from any given vertex through the orthocenter is perpendicular to the opposite side.
The attached figure shows the given points labeled A and B. Point A lies on the x-axis, as does the orthocenter, so the side opposite will be a vertical line (perpendicular to the x-axis).
The remaining side of the triangle will be perpendicular to the line from B through the origin. The line through B has slope 4/3, so the line containing side AC will have slope -3/4 and will go through point A. Its point-slope equation will be ...
y -0 = -3/4(x +5)
We already know the x-coordinate of vertex C is the same as that of vertex B, so is x=3. Using this in the equation for side AC, we find the y-coordinate to be ...
y = -3/4(3 +5) = -6
The coordinates of point C, the third vertex, are (3, -6).
_____
Additional comments
The slope of a line is given by ...
m = (y2 -y1)/(x2 -x1)
When (x1, y1) = (0, 0), this reduces to ...
m = y2/x2 . . . . . . the relation we used for the slope of line OB
__
The slope of a perpendicular line is the opposite reciprocal of the slope of a line. The line perpendicular to the one with slope 4/3 will be -1/(4/3) = -3/4.
__
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Factor w2 + 3w+w + 3 by grouping,
Answer:
(w+3)(w+1)
Step-by-step explanation:
In w^2 + 3w+w + 3,
we group it so that it looks like (w^2+w) + (3w+3)
Then we factor so that is w(w+1) + 3(w+1).
Distributive property(converse) allows us to simplify to (w+3)(w+1)
During a sale, a store offered a 15% discount on a camera that originally sold for $690. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:674.475
Step-by-step explanation:
(690)(0.15)= 103.5
690-103.5= 586.5 (after first markdown)
(586.5)(0.15)= 87.975
586.5+87.975 (Final price after markup)
Fill in the blanks so the left side of each is a perfect square trinomial. That it complete the square
x^ 2 -2x+?=(x-?)^ 2
the question mark are the empty boxes for the numbers
Answer:
1
Step-by-step explanation:
Look at the LHS: you have the square of x, then you have 2 times x, times -1. to complete a square you just need to add the square of -1, that is 1. That becomes
[tex]x^2-2x +1 = (x-1)^2[/tex]
Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
[tex]y = - \dfrac{2}{5}x + 1[/tex]
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]
[tex]y - 1 = - \dfrac{2}{5}x[/tex]
[tex]y = - \dfrac{2}{5}x + 1[/tex]
Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].
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The
is the distance across a circle, going through the center.
circumference
diameter
radius
area
The distance across a circle, going through the center is called Diameter.
What is 1,000 x 10,090g
Answer:
10,090,000 grams
Step-by-step explanation:
Just add three zeros to 10090g.
Help me with this question
Answer:
I don't have any idea of that question
Step-by-step explanation:
I'm sorry
Please help me solve this
BA=(3),(3),(-1) is the answer
help me plz ineed help
Answer:
23°
Step-by-step explanation:
Opposite angles so:
60° = 2x + 14
Therefore:
x = 23°
Answer:
x is 23°
Step-by-step explanation:
those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two
Which of the following equations could be the equation to represent the given graph? Make sure you explain your answer thoroughly.
Unit 7 Algebra 2a sample work connections academy
The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
The graph is an exponential function, and it passes through the points:
[tex](x,y) = (1,1)\ (0,2)[/tex]
An exponential function is represented with:
[tex]y = ab^x[/tex]
At (0,2), we have:
[tex]ab^0 = 2[/tex]
This gives
[tex]a(1) = 2[/tex]
[tex]a = 2[/tex]
At (1,1), we have:
[tex]ab^1 = 1[/tex]
[tex]ab = 1[/tex]
Substitute 2 for (a)
[tex]2b = 1[/tex]
Divide both sides by 2
[tex]b = \frac 12[/tex]
Substitute values for a and b in [tex]y = ab^x[/tex]
[tex]y = 2(\frac 12)^x[/tex]
Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
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