Answer:
The problem is not shown:
7 / 10 = 70 %
70% of 400 = 280 drink tea
20% of 400 = 80 drink at least 3 cups / day
(70 - 20)% of 400 = 200 drink tea but not as much as 3 cups / day
30% of 400 = 120 do not drink tea
Help!! Irrelevant answers will be deleted. Thank you so much!!
Answer:
k = 30; y = 30/xy = 9; y = 36/xx = 5/2; k = 50y = 2; k = 24Step-by-step explanation:
When we say "y varies inversely as x", we mean that y is proportional to the inverse of x: y = k·(1/x). This relation is usually written ...
y = k/x
It can be solved for the other values:
xy = k . . . . multiply by x
x = k/y . . . divide by y
If you are given the equation, the value of k can be read directly from it: it is the constant in the numerator.
__
a)k = xy = 5·6 = 30; the equation is y = 30/x
b)y = k/x = 36/4 = 9; the equation is y = 36/x
c)k = 50 (read from the equation); x = k/y = 50/20 = 5/2
d)k = 24 (read from the equation); y = k/x = 24/12 = 2
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
A. (-3,1)
Explanation:
if you invert the point over the Y-axis, then it will switch the x point to negative.
Please help I will give brainliest.
Answer:
C&E
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 ) , then
• if a > 0 then the graph opens upward
• if a < 0 then the graph opens downward
----------------------------------------------------------------
A y = - x² + 9x with a < 0 then opens downward
B y = 10x - 5x² with a < 0 then opens downward
C y = (2x - 1)² = 4x² - 4x + 1 with a > 0 then opens upward
D y = (1 - x)(2 + x) = 2 - x - x² with a < 0 then opens downward
E y = x² - 8x - 7 with a > 0 then opens upward
3. A rock is thrown from the top of a tall
building. The distance, in feet, between the
rock and the ground t seconds after it is
thrown is given by
d(t) =
4t + 382.
- 16t²
a. How long after the rock is thrown is it
370 feet from the ground?
b. After how many seconds will the rock
reach the ground?
c. What is the height of the rock when it
is halfway to the ground?
Answer:
Step-by-step explanation:
d(t) = 4t + 382 - 16t²
where d is the distance (in feet) between the rock and ground t seconds after thrown. Ground is 0 feet. As a note, I'm not clear why the "4t" term is in this equation. It has the effect of adding an increase in height at the rate of 4 feet/sec. I'll assume this is to accommodate any increase in height due to the throw, but it is a bit curious.
a. How long after the rock is thrown is it 370 feet from the ground?
The 382 in the equation represents the starting height of the rock (382 feet). To find the time to reach 370 feet:
370 = 4t + 382 - 16t²
Solve using the quadratic equation. There will be two answers, one negative, which we'll discard until we can go backwards in time. The positive value is 1, which would mean the rock will be at 370 feet in 1 second after throwing.
b. After how many seconds will the rock reach the ground?
Ground is 0 feet:
0 = 4t + 382 - 16t²
t = 5 seconds
c. What is the height of the rock when it is halfway to the ground?
The initial height is 382 feet, as per the equation, since when t = o (initial), d(t) is 382 feet. Halfway to the ground would be (382/2) or 191 feet.
Guys please help!!
If you have exponents in your answer use ^ for example:
2^3 = two to the power of three
Answer:
5x^2 - 8x - 32
Step-by-step explanation:
Area of rectangle = base x height
Area of larger rectangle = (3x - 8)(2x + 4)
= 6x^2 - 4x - 32
Area of smaller rectangle = (x + 4)x
= x^2 + 4x
Area of shaded region = area of larger rectangle - area of smaller rectangle
= (6x^2 - 4x - 32) - (x^2 + 4x)
= 5x^2 - 8x - 32
Write an equation to solve for x.
Answer:
3x - 35 = 130
Step-by-step explanation:
Vertically opposite angles are congruent.
3x - 35 = 130
hope it helps ~
3x+8=2x+21
X=?
(all working out needed)
Answer:
x=13
Step-by-step explanation:
3x=2x+21−8
3x=2x+13
3x−2x=13
x=13
Answer:
x = 13
Step-by-step explanation:
3x + 8 = 2x + 21
x + 8 = 21
x = 13
One section of an atatoriwm has 12 rows each row has 13 seats what is the total number of seats in that section
Answer:
156
Step-by-step explanation:
A problem like this can be solved using multiplication. If each row has 13 seats and there are 12 rows you can get the total amount of seats by multiplying 13x12.
Help me pleaseee !!!!!!
To solve a linear equations in one variable we use elimination method or
Answer:
[tex]\displaystyle Substitution[/tex]
Explanation:
Elimination and Substitution are two methods to use when solving systems of equations in two and three variables [tex]\displaystyle [z, y, and\:x].[/tex]With Elimination, you decide on which pair of variables you want to eradicate so they are set to zero, whereas Substitution is mainly used when one variable is automatically isolated. If not, then you must manually decide on which variable to isolate as well as the equation you want to wourk.
I am joyous to assist you at any time.
Find the measure of angle b.
Answer:
145°
Step-by-step explanation:
180° - 35°
the ratio of boys and girls at a school is 7:3 if there are 350 learners in the school,how many boys are there
If you answer all of them correctly and no mistake, I'm giving you brainliest plus its due tomorrow so answer this if your a genius. I've been struggling with this for 10 hours straight and plus theres like a bunch of more problems to go I'm like at 71 percent and now I need help on this please people I'm begging you.
Answer:
[tex]\textsf{c)} \quad |3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]
[tex]\textsf{d)} \quad |(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]
[tex]\textsf{e)} \quad |14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]
[tex]\textsf{f)} \quad |14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]
Step-by-step explanation:
The absolute value parent function, f(x) = | x |, is defined as:
[tex]f(x)=\begin{cases}x \; &\text{if}\;x > 0\\0 \; &\text{if} \; x=0\\-x\; &\text{if}\;x < 0\end{cases}[/tex]
Therefore:
The slope of the line where x > 0 is positive.The slope of the line where x < 0 is negative.Its graph is V-shaped and has the following properties:
The x-intercept and y-intercept are at the origin (0, 0).The vertex is at the origin (0, 0).The axis of symmetry is x = 0 (y-axis).The domain is the set of all real numbers: (-∞, ∞).The range is the set of all real numbers greater than or equal to 0: [0, ∞).Part (c)Given absolute value expression:
[tex]|3x+12|[/tex]
Simplify the given expression:
[tex]\implies |3x+12|=|3(x+4)|=3|x+4|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies 3|x+4|&=0\\|x+4|&=0\\x+4&=0\\x&=-4\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-4, 0).
Therefore, the slope of the expression will be positive for values of x greater than -4, and negative for values of x less than -4. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(3x+12) =3x+12[/tex][tex]\textsf{Negative slope}: \quad -(3x+12) =-3x-12[/tex][tex]|3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]
Part (d)Given absolute value expression:
[tex]|(x-19)+11|[/tex]
Simplify the given expression:
[tex]|(x-19)+11|=|x-19+11|=|x-8|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |x-8|&=0\\x-8&=0\\x&=8\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-8, 0).
Therefore, the slope of the expression will be positive for values of x greater than 8, and negative for values of x less than 8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(x-8) =x-8[/tex][tex]\textsf{Negative slope}: \quad -(x-8) =-x+8=8-x[/tex][tex]|(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]
Part (e)Given absolute value expression:
[tex]|14-(x-6)|[/tex]
Simplify the given expression:
[tex]|14-(x-6)|=|14-x+6|=|20-x|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |20-x|&=0\\20-x&=0\\x&=20\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (20, 0).
Therefore, the slope of expression will be positive for values of x greater than 20, and negative for values of x less than 20. Set the expression inside the absolute value sign to negative and positive to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad -(20-x) =-20+x=x-20[/tex][tex]\textsf{Negative slope}: \quad +(20-x) =20-x[/tex][tex]|14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]
Part (f)Given absolute value expression:
[tex]|14-(6-x)|[/tex]
Simplify the given expression:
[tex]|14-(6-x)|=|14-6+x|=|x+8|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |x+8|&=0\\x+8&=0\\x&=-8\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-8, 0).
Therefore, the slope of expression will be positive for values of x greater than -8, and negative for values of x less than -8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(x+8) =x+8[/tex][tex]\textsf{Negative slope}: \quad -(x+8) =-x-8[/tex][tex]|14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]
Colton has watched 222 comedy movies for every 333 other movies. He has watched 303030 total movies.
Complete the table. will mark brainlyest
The total ratio is 5
The number of comedy movies watched is 12
The number of other movies watched is 18
What is a ratio?
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. Therefore,
He has watched 2 comedy movies for every 3 other movies. The total movies he has watched is 30. Therefore,
2:3Ratio of comedy to total movies is as follows:
2 : 5number of comedy movies watched = 2 / 5 × 30 = 60 / 5 = 12
number of other movies watched = 3 / 5 × 30 = 90 / 5 = 18
Therefore,
total ratio = 5
number of comedy movies watched = 12
number of other movies watched = 18
learn more on ratios here: https://brainly.com/question/10080852
:)
Comedy movies- 2 (12)
Other movies- 3 (18)
Total movies- (5) 30
Please help. I don’t know the answer.
Answer:
y^12/5 aka the first option
Step-by-step explanation:
(9x^5y^16)/(45x^5y^4)
rules of exponents say youll do 5-5 because when dividing with exponents you subtract them
you get x^0 which is equal to 1 due to another rule of exponents
youll do 16-4 next and get 12 so y^12
now 9/45=5
the answer is (y^12)/5 (the first option)
Find the perimeter of the rectangle, in yards.
Rectangle with four different length sides: twelve and five sixths yards, ten and one third yards, twelve and five sixths yards, ten and one third yards.
46 2/3 yds.
46 1/3 yds.
46 1/4 yds.
46 1/2 yds.
The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
What is a perimeter?Perimeter is the total distance around an object.
To calculate the perimeter of the rectangle, we use the formula below.
Formula:
P = 2(l+w).................. Equation 1Where:
P = Perimeter of the rectanglel = length of the rectanglew = width of the rectangle.From the diagram in the question,
Given:
l = 12[tex]\frac{5}{6}[/tex] yds = 77/6 ydsw = 10[tex]\frac{1}{3}[/tex] yds = 31/3 yds.Substitute these values into equation 1
P = 2[(77/6)+(31/3)]P = 2[(77+62)/6]P = 139/3P = 46[tex]\frac{1}{3}[/tex] yds.Hence, The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
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Can someone help me please???
Brainlyest if you can help me lol.
No links please
Part A: The sun produces 3.9 • 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 2.45 • 105 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a DVD:
7.4 • 10–4 mm or 7.4 • 104 mm? Justify your answer. (5 points)
#A
Produces per second:-=3.9×10^33ergsProduced energy
[tex]\\ \rm\Rrightarrow 3.9(10^33)(2.45)(10^5)=9.56(10^38) ergs[/tex]
#B
7.4×10^4mm
shorter is more preferable
Grant worked 6 hours and packed 96 cartons of books. At this rate, how many cartons can he pack in 10 hours?
Answer:
160
Step-by-step explanation:
First, create an equation to show the number of books per hour.
6x=96
Divide each side by 6
x=16
Then, multiple 16 by 10 to get the total cartons packed in 10 hours.
16x10=160
Will mark brainleist!! PLEASE HELP!! Image provieded Please help me please What type of angles are ∠2 and ∠5
?
Question 1 options:
adjacent angles
alternate exterior angles
alternate interior angles
corresponding angles
none of these
Answer:
corresponding angles . the answer
Answer:
corresponding angles
Step-by-step explanation:
its called the corresponding angles and are equal value
Solve for n n/3 - 2 = 2
n/3-2 = 2
n/3 = 4
n = 12
The solution to the algebraic equation, n/3 - 2 = 2, is: n = 12.
How to Solve an Algebraic Equation?If given an algebraic equation, such as n/3 - 2 = 2, to solve for n, you have to isolate n as shown below:
n/3 - 2 = 2
Add 4 to both sides of the equation
n/3 = 2 + 2
n/3 = 4
Multiply both sides by 3
n = (4)(2)
n = 12
Therefore, the solution to the algebraic equation, n/3 - 2 = 2, is: n = 12.
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what 5 times 5 plus 4
Answer:
29
Step-by-step explanation:
5x5=25
25+4=29
First for 5 times 5 u do 5x5=25 and for (5x5) plus four u add 4 to the answer of 5 times five which makes 29.
Answer:
The answer is 29
Step-by-step explanation:
5 times 5 plus 4
5 × 5 + 4
Use BODMAS
(Bracket of Division, Multiplication, Addition and Subtraction)
(5 × 5) + 4 = 25 + 4 = 29
Thus, The answer is 29
-TheUnknownScientist 72
A box is filled with 4 red crayons, 8 blue crayons, and 2 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a yellow crayon.
Write your answer as a fraction in simplest form.
음
Х
?
Answer:
3/7
Step-by-step explanation:
there are a total of 14 crayons in the box.
The probability of choosing a red crayon is 4/14 and the probability of choosing a yellow crayon is 2/14
The probability of choosing either red or yellow is the sum of those two fractions which gets you 6/14 which equals 3/7
Point P′(5, −4) is the image of point P(2, 3) under a translation. What is the image of (6, −2) under the same translation?
Answer:
(9, - 9 )
Step-by-step explanation:
P (2, 3 ) → P' (5, - 4 )
2 → 5 in the x- direction is + 3
3 → - 4 in the y- direction is - 7
translation rule is then (x, y ) → (x + 3, y - 7 ) , so
(6, - 2 ) → (6 + 3, - 2 - 7 ) → (9, - 9 )
A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3. 14 for Pi. 11 cm 15 cm 22 cm 41 cm.
The radius of the given circle with a central angle of 7π/10 and arc length of 33cm is 15cm.
It is given that
The central angle of the given circle = 7π/10 radians
Length of arc = 33cm
What is the formula for arc length?Arc length = central angle* radius
From the above formula
Radius = Arc length/Central Angle
Radius = [tex]\frac{33}{(7\pi)/10 }[/tex]
Radius = 15cm
Therefore, radius of the given circle is 15cm.
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Answer:
15 cm or B on egde
Step-by-step explanation:
a rectanglar field has a length of 7m and a with of 8m . lengths are measures to the nearest metre. what is the greatest possible area of the field
Answer:56m^2
Step-by-step explanation:
If m Greater-than-or-equal-to n, which inequalities must be true? Check all that apply. M 2. 1 Greater-than-or-equal-to n 2. 1 m - (-4) Greater-than-or-equal-to n -(-4) m - 3 Greater-than-or-equal-to n 3 16. 5 m Greater-than-or-equal-to 16. 5 n m Greater-than-or-equal-to n One-half 6 m Greater-than-or-equal-to 9 n.
The inequalities that must be true if m is greater-than-or-equal-to n are given as:
Option 1: [tex]m \times 2.1 \geq n \times 2.1[/tex]Option 2: [tex]m - (-4) \geq n - (-4)[/tex]Option 4: [tex]16.5m \geq 16.5n[/tex]What operations are allowed in inequalities?Only those operations are allowed which are sure to not modify the inequality between the expressions in the statement.
Some operations that are sure not to modify the inequalities are:
Addition, Subtraction, multiplication by positive real numbers, division by positive real numbers etc.
Example, if 5 > 2, then you can do whatever which keeps the term on the side of 5 bigger than the terms formed on side of 2.
Thus, 5 + 1 > 2 + 1 is correct, (it was addition of 1, a real number).
For the considered case, we're given that:
[tex]m \geq n[/tex]
Checking all the options sequentially, we get:
Case 1: [tex]m \times 2.1 \geq n \times 2.1[/tex]It must be true, since the multiplication is done by 2.1, which is > 0
Case 2: [tex]m - (-4) \geq n - (-4)[/tex]It must be true since -4 is a real number, and addition or subtraction of any real number (if done on all the sides of the statement) doesn't change the inequality
Case 3: [tex]m - 3 \geq n + 3[/tex]From [tex]m \geq n[/tex], addition or subtraction is guaranteed to not change the inequality only if they are of same quantity on all the sides of the inequality. Thus, this inequality is not necessary to be true.
Example, if we take m = 5, n =3, then,
[tex]5 \geq 3[/tex] but [tex]5 - 3=0 \: \rm and \: 3 + 3= 6 \implies 5-3 < 3 + 3[/tex]
Case 4: [tex]16.5m \geq 16.5n[/tex]It must be true if given that [tex]m \geq n[/tex] since multiplication of equal positive real number on both the sides of [tex]m \geq n[/tex] was done.
Case 5: [tex]\dfrac{1}{2} 6m \geq 9m[/tex]one-half of 6 = 3, thus, this inequality means [tex]3m \geq 9m[/tex]
Dividing both the sides by 3, we get:
[tex]m \geq 3n[/tex]
It is not necessary to be true if [tex]m \geq n[/tex]. Example
[tex]3 \geq 2\\but\\ 3 < 3 \times 2 = 6[/tex]
Thus, the inequalities that must be true if m is greater-than-or-equal-to n are given as:
Option 1: [tex]m \times 2.1 \geq n \times 2.1[/tex]Option 2: [tex]m - (-4) \geq n - (-4)[/tex]Option 4: [tex]16.5m \geq 16.5n[/tex]Learn more about inequality here:
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PLEASE ASAP PLEASE A.S.A.P
HELP
Four lines are shown on the grid above
A)(i) write the equation of line L1
(ii) write the equation of line L2
(iii)write the value of (m) and the value of (n) for the line (y=mc+n)
(iv)write the value (p) and (q) for the line y=px+q
B) which of the letters A to K lie in the region where
(i) x >=2. y>=mx +n. and y>=px+q
(ii) y<=2. y<=mx+n. And y<=px+q
C)what is the maximum value of x+y in the region G
Answer:
A) x = 2; y = 2; (m, n) = (1/2, 0); (p, q) = (-3/2, 12)
B) K; A and E
C) 11
Step-by-step explanation:
With the exception of the vertical line, the equations of the lines can be written in terms of their slope and y-intercept. The slope is the ratio of "rise" to "run". The "rise" is the vertical change between points, and the "run" is the horizontal change between the same points. Changes to the right or up are taken as positive. The change amounts can be read from the graph by counting grid squares, or by subtracting coordinate values.
The regions described by an inequality will be to the right of a boundary line for x > (boundary), and above the boundary line for y > (boundary). When these inequalities are reversed, the region will be left or below the boundary, respectively.
__
A)The slope-intercept equation for a line is ...
y = mx +b . . . . where m is the slope, and b is the y-intercept
(i) x = 2 . . . . . . points on the vertical line have an x-value of 2
(ii) y = 2 . . . . . 0 slope, y-intercept of 2
(iii) m = 1/2, n = 0 . . . . rise = 1 for run = 2; y-intercept = 0
(iv) p = -3/2, q = 12 . . . . rise = -3 for run = 2; y-intercept = 12
__
B)(i) Region K is to the right of the vertical line, and above the two slanted lines
(ii) Regions A and E are below y=2 and the two slanted lines
__
C)The maximum value of x+y will be found at the point on the line x+y=c, where c is the largest possible value. That is, it will lie on the line ...
y = -x +c . . . . a line with a slope of -1
such that the line is as far as possible from the origin.
For region G, the point that maximizes "c" in the above equation is point (2, 9), so ...
c = x +y = 2 +9 = 11
The maximum value of (x+y) in region G is 11.
Using the net below, find the surface area of the triangular prism.
160 i believe. to find the area of a triangle act like its a square and divide in half. for squares multiply base by height.
take the area of each shape and add it up
SCALE DRAWING: An architect made this drawing to represent a
swimming pool. The actual length of the pool is 15 ft. What is the
actual width of the pool shown in the model.
O 20 Feet
O 12 Feet
O 60 Feet
O 15 Feet
Answer:
12ft.
If the real length was 15 but is 5 down in the drawing that means the scale is 3ft to every inch. (15/5 =3).
With that said the width of the drawing is 4 inches. 4 x 3 = 12..
The width of the real pool would be 12 ft.
The equation of a straight line passing through the point (0 2) which is perpendicular to the line y=1/4x+5
Answer: y=-4x+2
Step-by-step explanation: