Answer:
total population: 9,000
10% of 9,000= 900 students
they only surveyed 800 students so Yes the 10(800)=8,000 which is less then 9,000 or Option A
Ajay has a piggy bank which has one-rupee and two-ruppe coins. The number of 2 rupee coins is twice the number of 1 rupee coins.the total amount of money in the piggy bank is 30 rupees. How many 1 rupee and 2 rupee coins are there in the piggy bank?
Answer:
6 one rupee and 12 two rupee coins.
Step-by-step explanation:
If the number of rupee coins is x then the number of 2 rupee coins is 2x.
x + 2*2x = 30
5x = 30
x = 6.
which of the tables represent a function?
(sorry for the bad photo)
15 points!
Answer:
Table B
Step-by-step explanation:
A function is present when x-value can only have a single y-value.
In Table A, the x-value 5 corresponds to 2 y-values : 3 and 2, hence it is not a function.In Table B, each x-value corresponds to a single y-value, hence it is a function.HELP! need help ASAP, 50 points and brainiest will be given to whoever helps.
Answer:
10
Step-by-step explanation:
helppppp ....Simpson Office Furniture pays Sam Hughes a $840 monthly salary plus a 7% commission on merchandise he sells each month. Assume Sam's sales were $18,600 for last month. Calculate the following amounts:
Answer:
$2,142
Step-by-step explanation:
7% of 18,600 is 1,302
Add this to 840 and you get a total of $2,142
Commission is $1,302
Gross pay is $840
Wyatt has a loyalty card good for a discount at his local hardware store. To find the
total he has to pay, before tax, he multiplies the prices by 0.8. What percent discount
does the card give?
Answer:
80%
Step-by-step explanation:
You multiple .8 by 100 to find percentage, giving you 80%.
Answer:
i don’t know
Step-by-step explanation:
I don’t know
What is the average rate of change of the function over the interval x = 0 to x = 4? f(x)=2x−13x 5 enter your answer, as a fraction, in the box.
The average rate of change of the function over the interval x = 0 to x = 4 is: 61/400.
What is the Average Rate of Change of a Function?Average rate of change = f(b) - f(a) / b - a
Given the function, f(x) = 2x - 1 / 3x + 5.
a = 0, f(a) = 2x - 1 / 3x + 5 = 2(0) - 1 / 3(0) + 5 = -1/5
b = 4, f(b) = 2x - 1 / 3x + 5 = 2(4) - 1 / 3(4) + 5 = 7/17
Average rate of change = 7/17 - (-1/5) / 4 - 0 = 61/400
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4. Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and each drink cost $2.50. The expression 2x + 2.5y gives the total amount of money spent by Andrew on chips and drinks. What is the meaning of the term 2.5y?
A. The number of chips plechased by Andrew
B. The cost of one drink
C. The total amount spent on drinks by Andrew
D. The number of drinks purchased by Andrew
Answer:
The answer is C, the total amount spent on drinks
A triangle has sides of lengths 16,14 and 50 .is the triangle right angle triangle?
Answer:
no
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square on the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.
longest side = 50 ⇒ 50² = 2500
16² + 14² = 256 + 196 = 452
since 452 ≠ 2500 then the triangle is not right
A triangle has sides of lengths 16,14 and 50. Is the triangle right angle triangle?
❒ Explanation -:We will solve this question using Pythagoras theorem.
We know,
[tex] \small \boxed{\rm{ c² = a² + b²}}[/tex]
[tex] \small\rm{Where,} [/tex] [tex]\small\sf{ c > a \: and \: c > b}[/tex]
[tex] \small\sf{ 50² = 16² + 14²}[/tex]
[tex]2500 = 256+ 196[/tex]
[tex]2500≠452[/tex]
[tex] \small\bf{ c² ≠ a² + b²}[/tex]
Hence, the triangle is not a right-angled triangle.
Find the surface area of the prism.
10 ft length
1 ft height
5 ft width
Answer:
Surface Area = 130 sq ft
Step-by-step explanation:
If you don't have a picture, draw a picture so you can see what's up. See image. Surface area is the area of all the faces of a 3d shape (a solid) all added up. This solid is a box. It has six faces. Each face is a rectangle. The top and bottom are the same. The front and back are the same. The left and right sides are the same. See image.
Area of a rectangle is:
A = l × w
Area of the top:
5 × 10 = 50
Area of the bottom also 50.
Area of the left side:
1 × 5 = 5
Area of the right side is also 5.
Area of the front:
1 × 10 =10
Area of the back is also 10.
ADD up all 6 areas:
50+50+5+5+10+10
Surface area = 130
Area has square units.
SA = 130 square ft
Calculate volume of hemisphere with radius 3.2 cm
The volume, V, of a sphere with radius r is V = [4/3 pi r^3]
Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³
the volume of a hemisphere is half the volume of a sphere, so
V = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] πr³ = [tex]\frac{2}{3}[/tex] πr³ , then
V = [tex]\frac{2}{3}[/tex] π × 3.2³
= [tex]\frac{2}{3}[/tex] π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
Determine the interquartile range for the following data 1,15,16,16,19,24,25
Answer:
IQR = 9
Step-by-step explanation:
Q3 = 24
Q1 = 15
24-15=9
Give brainliest, please!
Hope this helps :)
The graph below represents the solution set of which inequality?
-5 4 -3 -2 -1 0 1 2 3 4 5
Х
O x2 - 2x -8 < 0
O x2 + 2x -8 < 0
O x2 - 2x - 8>0
O x2 + 2x - 8>0
Answer:
it's x^2+2x-8
Step-by-step explanation:
-4<x<2. I don't know how to explain since I'm not good at English
The cost of a taxi fare is $5 plus $1.50 per kilometre travelled. a) Derive a formula for calculating the cost, $P, of travelling n km. b) Use your formula to calculate the cost of travelling 25 km. please help me
Answer:
Step-by-step explanation:
Formula
P = 5 + 1.50n
P is the total Cost
n is the number of Km travelled.
Solution
Substitute n = 25 into the formula
P = 5 + 1.5 * 25
P = 5 + 37.5
P = 42.50
Answer
42.50 dollars for 25 km.
factor by grouping
NEED HELP ASAP
# after letters are the exponent
1: 28v+16v2-21v-12
2: 49x3-35x2+56x-40
3: 24r3-64r2-21r+56
Answer and step-by-step explanation:
[tex]28v^3 +16v^2-21v-12 =[/tex] collecting [tex]4v^2[/tex] in the first two terms and [tex]-3[/tex] in the last two:
[tex]4v^2(7v+4)-3(7v+4) =[/tex] collecting the bracket
[tex](7v+4)(4v^2-3)[/tex]
Bonus stage: if you are factoring over the real numbers and not over the rational, the second brackets is a difference of squares. Else, you stop here.
[tex](7v+4)(2v+\sqrt3)(2v-\sqrt3)[/tex]
NEXT!
[tex]49x^3-35x^2+56x-40=[/tex]As before, [tex]7x^2[/tex]in the first two, and [tex]8[/tex] in the last two:
[tex]7x^2(7x-5)-8(7x-5)[/tex] collecting the bracket again
[tex](7x-5)(7x^2-8) =[/tex]again, bonus step
[tex](7x-5)(\sqrt7 x +2\sqrt2) (\sqrt7x-2\sqrt2)[/tex]
FINALLY!
[tex]24r^3-64r^2-21r+56 =\\8r^2(3r-8) -7(3r-8)=\\(3r-8)(8r^2-7) =[/tex]Again, bonus step
[tex](3r-8)(2\sqrt2r+\sqrt7)(2\sqrt2r-\sqrt7)[/tex]
Since usually most courses talk about factorization of polynomials BEFORE talking about real numbers, I would stop at the third stage, skipping the fourth.
jeff can solve 16 math problems in 25 minutes. How many problems can he solve in 42 minutes?
Answer:
27
step by step explanationfrom the explanation,
let the number of maths that can be solved in 42 minutes = X
16 maths--------------25minutes
x maths --------------42 minutes
cross multiplying
X×25= 16×42
dividing bothsides by 25
25X/25 = 16×42/25
X = 672/25
X = 26.88 = 27 (approximately)
therefore 27 problems can be solved in 42 minutes
please tell me the answer of the question please.
Answer:
total price = 100*80 = 8000
donated = 10 *80 = 800
sold = 90*88 = 7290
pofit = cp - sp
cp = 8000 sp = 7290
= 710
Step-by-step explanation:
Please help!!!! Find the value of x.
Answer: 84
Step-by-step explanation:
What is the scale factor of the dilation of triangle def? three-tenths three-sevenths seven-thirds 7
The scale factor of the dilation of triangle def is three-tenths i.e. 3/10
How to determine the scale factor of dilation?From the complete question, the corresponding sides are:
DE = 10
D'E' = 3
The scale factor k is then calculated using"
DE * k = D'E'
So, we have:
10* k = 3
Divide both sides by 10
k = 3/10
Hence, the scale factor of the dilation of triangle def is three-tenths i.e. 3/10
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Answer: 3/10
Step-by-step explanation:
please help me i don't know what im doing
Answer:
y = 3x -4
Step-by-step explanation:
The two pairs of x and y values are used to find the slope of the line. That and one of the pairs is used to find the y-intercept. These values are put into the slope-intercept equation to give the equation of the line through the two points.
__
Each (x, y) pair represents a point on a graph. The slope-intercept equation for a line relates all the (x, y) pairs that lie on the line. That equation is ...
y = mx +b . . . . . . where m is the slope, and b is the y-intercept
slopeThe slope is the "steepness" of the line. It is positive when the line goes up to the right, and negative when the line goes down to the right. It is 0 for a horizontal line.
The slope is found from (x, y) pairs using the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . where (x1, y1) and (x2, y2) refer to different pairs
m = (8 -(-1))/(4 -1) = 9/3 = 3 . . . . using the (x, y) values from the table
y-interceptThe y-intercept (b) is the y-value where the line crosses the y-axis. It can be found by rearranging the slope-intercept equation shown above:
b = y - mx . . . . . . . for a line with slope m and a point (x, y) on the line
Using the first point listed in the table with the value of m we just found, we see that b is ...
b = -1 - 3(1) = -4 . . . . . . for (x, y) = (1, -1) and m = 3
equationNow that we have found m=3 and b=-4 for the points in the table, we can put these values in the slope-intercept equation:
y = mx +b
y = 3x -4 . . . . . equation of the relationship in the table
Can someone please answer my trigonometry problem? I've been trying to get answers all day for something so minimal.
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
∠B ≈ 30.0°
Step-by-step explanation:
The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.
__
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) . . . . solve for sin(B)
sin(B) = (14/28)sin(91°) ≈ 0.49992385
The angle is found using the inverse sine function:
B = arcsin(0.49992384) ≈ 29.99496°
Rounded to tenths, the angle is ...
m∠B ≈ 30.0°
_____
Additional comments
Many triangle solver apps and web sites are available if all you want is an answer.
When using your calculator, be sure the angle mode is set to "degrees."
The Law of Sines can also be used to solve a triangle when two angles and one side are known.
Solve the equation by factoring. 2x^2 + 6x = -4
Answer:
x=-2 x=-1
Step-by-step explanation:
2x^2 + 6x = -4
Add 4 to each side
2x^2 + 6x +4= -4+4
2x^2 + 6x +4=0
Factor out 2
2( x^2 +3x+2) = 0
Divide by 2
x^2 +3x +2 =0
( x+2)(x+1) =0
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Answer:
x = -1, -2
Step-by-step explanation:
Bring the constant term to the left hand side :
2x² + 6x = -42x² + 6x + 4 = 0Divide throughout by 2 :
(2x² + 6x + 4)/2 = 0/2x² + 3x + 2 = 0Splitting the middle term :
x² + x + 2x + 2 = 0x(x + 1) + 2(x + 1) = 0Factors obtained :
(x + 1)(x + 2)Finding the zeros :
x + 1 = 0 ⇒ x = -1x + 2 = 0 ⇒ x = -2In ΔRST, = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch
Answer:
<r=29
Step-by-step explanation:
the quotient if b and 3 is greater than or equal to 19
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
The quotient of b and 3 is greater than or equal to 19.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
✥First, the word "quotient" indicates that we divide.
Here we have "the quotient of b and 3", so we divide b by 3:-
[tex]\hookrightarrow[/tex][tex]\sf{b\div3}[/tex]
Now, this expression is greater than or equal to 19:-
[tex]\sf{b\div3\geq 19}[/tex]
How to Solve for b
✳︎ Multiply by 3 on both sides:-
[tex]\sf{b\geq 19\times3}[/tex]
On simplification,
[tex]\sf{b\geq 57}[/tex]
So the values of b greater than or equal to 57 will make this inequality true.
Let's solve another one.
✳︎ A number y increased by 5 is at least -21.
First, "increased" means we add 5.
Since y is increased by 5, we add 5 to y:-
[tex]y+5[/tex]
Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to -21, which looks as follows:-
[tex]\sf{y+5 \geq -21}[/tex]
[tex]\rule{300}{1}[/tex]
[Solving for y]
Subtract 5 on both sides:-
[tex]\sf{y \geq -21-5}[/tex]
On simplification,
[tex]\sf{y \geq -26}[/tex]
So the values of y greater than or equal to -26 will make this inequality true.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
does someone mind helping me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate its surface area ~
[tex] \sf SA = Area (2 × \triangle) + Area ( three \: \square)[/tex]
[tex] \sf SA =(2 \cdot \dfrac{1}{2} \cdot8 \cdot6 ) + (7 \cdot10) + (7 \cdot 8) + (7 \cdot6)[/tex]
[tex] \sf SA =(48 ) + (7 0) + (56) + (42)[/tex]
[tex] \sf SA =216 \: m {}^{2} [/tex]
What percentage of canadians live within 100 miles of the u. S. Border?.
Answer:
90%
Step-by-step explanation:
Which of the following correctly uses the Pythagorean Theorem to find the missing side ?
A. 8² + (10)² = 2²
B. X + 8=10
C. x² +8² = (10)²
D. x² + (10)² = 8²
Answer:
C
Step-by-step explanation:
hyp² = opp² + adj²
10² = 8² + x²
Solve simultaneously:
x-4y=1
6y=x-2
Answer:
separate : x-4y=1
= x-2y = 10
the other one: x = 6y + 2
togetehr : x = -1 , y = -1/2
step-by-step explanation:
i don't know if they're together so ima give you the answer for them if they are and just separte answers
Please help ASAP!
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:
Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
165 total students in art club. 100 of those got the requested class.
100/165 = 0.6061
335 total students not in art club. 265 got the requested class.
265/335 = 0.7910
the probability was higher for kids not in art club, so all students had an equal opportunity.
About 8% of the population has a particular genetic mutation. 800 people are randomly selected. find the mean for the number of people with the genetic mutation in such groups of 800. (round to 2 decimal places if possible.)
Answer:
64 people
Step-by-step explanation:
multiply the number by of people the precentage who have genetic mutation (divide percentage by 100 before multiplying) 0.08 x 800 = 64
Joaquin is constructing the perpendicular bisector of ab. What should be his first step?
(100 points cuz why not)
Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of [tex]\over{AB}[/tex].
Step-by-step explanation:
To construct a perpendicular for [tex]\over{AB}[/tex], we must first take a compass & take the distance of its arms wider than half the length of [tex]\over{AB}[/tex].
This is done in order to get two intersecting arcs in the top & bottom of [tex]\over{AB}[/tex] so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above [tex]\over{AB}[/tex], draw a line joining these 2 points through their points of intersection. The point where it intersects [tex]\over{AB}[/tex] is the middle-most point of [tex]\over{AB}[/tex] & now a perpendicular bisector of [tex]\over{AB}[/tex] is constructed.
[tex]\rule{150pt}{2pt}[/tex]
Answer:
D
Step-by-step explanation:
