There were 144 students when the contest began
What is Equation ?Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.
On the basis of given data :
Let the total number of students are x
50% of the students are eliminated after the first round
the remaining students are 0.5x
After the second round = (1/3) * 0.5 x were remaining
and
(1/3) * 0.5 x = 24
then solving this equation will give the total number of students
0.5x = 24 * 3
x = 24*3 /0.5 = 144
Therefore there were 144 students when the contest began
To know more about Equation
https://brainly.com/question/10413253
#SPJ1
What do the points on the line in quadrant I represent in terms of the situation
Answer:
The points present in the first quadrant are of the form (a, b) where a, b>0.
Step-by-step explanation:
The points present in the first quadrant are of the form (a, b) where a, b>0.
In the first quadrant both the abscissa and ordinate are positive.
In the second quadrant the abscissa is negative and ordinate is positive.
In the third quadrant both the abscissa and ordinate are negative.
In the forth quadrant both the abscissa is positive and ordinate are negative.
The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.
For more explanation, refer the following link:
https://brainly.com/question/25038683
#SPJ10
Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.
Step-by-step explanation: Source - I took the test.
What is the expression for f(x) when we rewrite 36^x•6^(x-2) as 6^f(x)?
Answer: 3x-2
Using the given information, the expression for f(x) is 3x - 2
Writing an expressionFrom the question, we are to determine the the value of f(x)
The given expression is
36^x•6^(x-2)
That is
[tex]36^{x} \times 6^{x-2}[/tex]
This can be expressed as
[tex]6^{2x} \times 6^{x-2}[/tex]
Applying one of the laws of indices, we get
[tex]6^{2x+x-2}[/tex]
= [tex]6^{3x-2}[/tex]
Since the expression was rewritten as
[tex]6^{f(x)}[/tex]
By comparison,
f(x) = 3x - 2
Hence, the expression for f(x) is 3x - 2
Learn more on Solving functions here: https://brainly.com/question/18215823
#SPJ1
Calculate the a) total tax rate, and b) sales tax.
The total tax rate and the sales tax will be given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).
The table complete table is given below.
Item TSP STR CTR TTR ST
Clothing $81.39 3% 0% 3% $2.44
Cell phone $159.95 5% 0% 5% $7.99
MP3 player $195.55 4% 2% 6% $11.73
Computer $1599.75 4.88% 1.50% 6.38% $102.06
Take-out $49.85 8.13% 2.50% 10.63% $5.29
Pickup truck $38,526.42 6.50% 1.25% 7.75% $2985.79
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
When you multiply a number by 12 and subtract the product from 360, the difference is 216. Find the number.
The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
When you multiply a number by 12 and subtract the product from 360, the difference is 216.
Let the number be a.
Then we have the equation
12a – 360 = 216
By solving the equation, we have
12a = 216 + 360
12a = 576
a = 576/12
a = 48
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
help i will mark as branliest
Answer:
(a) DE = 7.5 cm
(b) Area of ΔABE = 9.33 cm2
Step-by-step explanation:
(a) [tex]\frac{AE}{DE} =\frac{BE}{CE}[/tex]
[tex]\frac{5}{DE} =\frac{4}{6}[/tex]
[tex]DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5[/tex]
(b) measurements of similar triangles have a ratio of 2/3
The ratio between areas is
[tex](\frac{2}{3} )^{2} =\frac{4}{9}[/tex]
If the area of ΔCDE = 21
Then the área of ΔABE is:
[tex]21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33[/tex]
Hope this helps
a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Answer:
son's present age = 30
father's present age=60
Step-by-step explanation:
his son's present age = x years
his father's present age = 2x years
before 20 years his son's age=(x-20) years
before 20 years father's age=(2x-20) years4(x-20)=(2x-20)
4x-80=2x-20
4x-2x=80-20
2x=60
x=30
The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.
Students in Class A
A dot plot titled Students in Class A. A number line going from 0 to 5 labeled Number of pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Students in Class B
A dot plot titled Students in Class B. A number line going from 0 to 5 labeled Number of pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
What is the difference between the ranges in the dot plots?
0
2
3
4
Unmark this
Answer:
The difference between the Ranges in the dot plots is 2.
Explanation:The range is the distinction between the greatest or highest value and the minimum or lowest value.I've included a figure with the two-dot plots explained for easier comprehension.
Students from Class A.
The value on the far left of the numbered line that contains at least one point is the minimum value for students in Class A, and the maximum value is three (the value to the extreme right of the numbered line that contains, at least, one point).
Range = 3 - 0 = 3
Students from Class B.The value to the far left of the numbered line that has at least one point is the minimum value for students in Class B, and the maximum value is 5. (the value to the extreme right of the numbered line that contains, at least, one point).
Range = 5 - 0 = 5
Variations in the rangesThe dot plots' range differences are 5 - 3 = 2, which is a difference of two.
To learn more about range here:https://brainly.com/question/12239390
#SPJ10
Raj correctly determined that ray LH is the bisector of AngleGLI. Which information could he have used to determine this?
AngleGLH Is-congruent-to AngleILM
mAngleKLM = 5mAngleILM
mAngleGLI = 2mAngleGLH
mAngleGLI = mAngleGLH + mAngleHLI
The information could he have used to determine this is C. ∠GLI = 2∠GLH.
What is an angle?An angle is formed from the intersection of two lines. The types of angles are acute, obtuse, and scalene.
∠GLI is bisected by LH, hence:
∠GLH = ∠HLI (definition of bisection)
∠GLI = ∠GLH + ∠HLI (angle addition)
∠GLI = 2∠GLH
The information that can be used to determine this is ∠GLI = 2∠GLH.
Learn more about angle on:
brainly.com/question/25770607
#SPJ1
Answer: its C
Step-by-step explanation: on edge
Using circle P with a radius of 7 cm, find the EXACT
measure/length for each of the following.
8.
9
10
11.
12
The diameter of circle P
The circumference of circle P
The area of circle P
The length of RS
The area of sector MPR
P
45
30
S
M
R
Answer:
8. 14
9. 14π
10. 49π
11. 1.75π
12. [tex]\frac{49}{12}[/tex] π
Step-by-step explanation:
If the radius is 7, the diameter is 14.
Circumference is pi * diameter, so 14π
Area is π r², so 49π
Arc length is [tex]\frac{n}{360}[/tex] * 2πr, so [tex]\frac{45}{360}[/tex] * 14π = 1.75π
Sector Area is [tex]\frac{n}{360}[/tex] * πr², so [tex]\frac{30}{360}[/tex] * 49π = [tex]\frac{49}{12}[/tex]π
On a coordinate plane, the x-axis is labeled minutes and the y-axis is labeled Blocks. Line A goes through points (10, 4), (15, 12), and (20, 20). Line B goes through points (5, 8), (10, 16), (15, 24). Line C goes through points (5, 24), (15, 16), (20, 12).
The table shows Jose’s rate of bicycle riding.
A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 5, 10, 15. Column 2 is labeled Blocks with entries 8, 16, 24.
Which line on the graph shows the proportional relationship in the table?
Line
on the graph shows the proportional relationship.
Answer:
wait lang yong tppp heheehhehe
Answer:
b is the awancer yw
Step-by-step explanation:
Helen bought 3 books and 2 pencil cases. the pencil case cost $8 less than the book. if helen spent $74, how much did a book cost?
The cost of book case be $ 11.6.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0.
Here, let the cost of book case be $ x
and the cost of pencil case be $ y
Now, Helen purchased 3 books and 2 pencils in $ 74.
3x + 2y = 74 .......(i)
Cost of pencil case $ 8 less than the book.
y - 8 = x ............(ii)
put the value of x in equation (i), we get
3(y - 8) + 2y = 74
3y - 24 + 2y = 74
5y = 74 + 24
5y = 98
y = 98/5
y = $ 19.6
put the value of y in equation (ii), we get
x = y -8
x = 19.6 - 8
x = $ 11.6
Thus, the cost of book case be $ 11.6.
Learn more about linear equation from:
https://brainly.com/question/11897796
#SPJ1
Our school store buys a shipment of 1000
pencils for $65. If we sell each pencil for
10 cents, what is the markup percentage
of each pencil?
A. 28%
C. 54%
D. 65%
B. 43%
Answer:
54%
Step-by-step explanation:
65 / 1000 = 0.065. 0.10 / 0.065 = 1.538, so the markup would be C, 54%.
Which list of numbers is shown on the number line below?
A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Answer:
is A
Step-by-step explanation:
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Pls Mark Brainliest
Answer:
The first choice on edge / A
Step-by-step explanation:
don't come at me if its wrong
A cone with radius 2 units is shown below. Its volume is 29 cubic units.
2
h
Find the height of the cone.
Use 3.14 for π and round your final answer to the nearest hundredth.
units
Answer:
It's very interesting 4
Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the
due date:
2 +0.25x
What does the constant term of the expression represent?
The late fee for the book
The fixed rental for the book
The number of books borrowed
The number of days the book was overdue
Answer:
B - fixed rental for the book.
Since for everyday the book is late the fee is 0.25 multiplied by X, X is the days the book is not returned.
Thus, the constant would be 2, 2 is the constant whereby the rental for the book regardless of other variables.
Natalie works in a toy shop and earns $43 per day. she earns an extra $3 for each toy she sells. if natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell?
please help need it asap
Answer:
195
Step-by-step explanation:
87+38+40=165
360-165=195
Hope this helps!
If not, I am sorry.
An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of s 46° e to a location in the sea. it then flies 483 miles from the sea at a bearing of s 55° w to another location. finally, the aircraft flies straight back from the second location to its base. what is the total distance it flies, rounded to the nearest mile? 2 vertical lines. top, point a (airport), point c below are marked on left line. point b marked on middle of right line. abc makes triangle. ab as c equals 5.5. bc as a equals 4.83. interior angle a 46 degrees. exterior angle b 55 degrees. a. 550 miles b. 1,033 miles c. 1,583 miles d. 1,692 miles e. 2,210 miles
The total distance it flies, rounded to the nearest mile is: d. 1,692 miles .
Total distanceFirst distance= 550 miles (given)
Second distance=483 miles (given)
Now let find the third distance
Let x represent the third distance
Hence:
x/sin79 = 550/sin55
x= 659.1
Now let calculate the total distance
Total distance=550+483+659.1
Total distance= 1692.1
Total distance= 1692 miles (rounded)
Therefore the correct option is d.
Learn more about total distance here:https://brainly.com/question/4931057
#SPJ1
Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week
An equation is formed of two equal expressions. The number of cakes that are made by Sam this week is $10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Sam gets paid $20 a week in addition to $4 for every cake she bakes. Let y be the total amount that is made by Sam this week, while x represents the number of cakes she bakes. Therefore, the equation for the total amount made by sam in a week can be written as,
y = 20 + 4x
Since her total income for this week is $60, therefore, we can write,
60 = 20 + 4x
40 = 4x
x = 10
Hence, the number of cakes that are made by Sam this week is $10.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
the price of an mp3 player is increased by 8%to £52.92
what was the original price?
Answer:
49£Step-by-step explanation:
the price of an mp3 player is increased by 8%to £52.92
what was the original price?
52.92 = 108%
52.92 : 108 = 0.49
0.49 * 100 = 49£
-------------
check
49 * 1.08 = 52.92
the answer is good
please help!! i’lol give brainliest
Answer:
×=20
Step-by-step explanation:
180-110=70
70+70=140
180-140=40
40÷2=20
Answer:
x = 20°
Step-by-step explanation:
110° and the interior angle of the triangle are a linear pair and sum to 180°
interior angle + 110° = 180° ( subtract 110° from both sides )
interior angle = 70°
the larger triangle is therefore isosceles, 2 base angle are congruent, then
2x = 180° - 140° = 40° ( sum of angles in Δ is 180° )
divide both sides by 2
x = 20°
Solve using a proportion.
Jasmine uses 4 inches of tape to wrap 5 presents. How many inches of tape will Jasmine use to wrap 15 presents?
A. 12 inches
B. 10 inches
C. 15 inches
D. 14 inches
It costs $15 to get into the county fair and $2 per pack of ride tickets, t. If you buy 10 packs of ride tickets, how much total would you spend?
Answer:
35$
Step-by-step explanation:
You multiply $2 x 10 = 20$ then add 15$ + 20$ = 35$
determine which equation is parallel and perpendicular to jk
None of the equations are parallel or perpendicular to the line jk.
How to know equations that are parallel and perpendicular?The equation of a line can be interpreted as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
Parallel lines have the same slope(m).
Perpendicular line follows the principle below:
m₁ m₂ = -1Therefore, let's find equation of jk
(-5, 5)(1, -5)
m = -5 - 5 / 1 + 5 = -10 / 6 = - 5 / 3
using (1, -5)
-5 = - 5 / 3 (1) + b
b = -5 + 5 / 3 = -15 + 5 / 3 = -10 / 3
Therefore,
y = -5 / 3 x - 10 / 3
m = - 5 / 3
6x + 10y = 11
10y = -6x + 11
y = - 6 / 10 x + 11 / 10
y = - 3 / 5 x + 11 / 10
hence, m = - 3 / 5
5x - 3y = 8
3y = 5x - 8
y = 5 / 3 x - 8/3
m = 5 / 3
The equation
learn more equation here: https://brainly.com/question/14379343
#SPJ1
X^2 + y^2 = 169 and y = -5 as a graph and where are the coordinates of intersection
Step-by-step explanation:
please mark me as brainlest
It Sami anual Compound interest is applied interest, what instead of anual compound will be the profit of an investor It Sami anual Compound interest is applied interest , what instead of anual compound will be the profit of an investor.
Answer:
it's helps with learning the difference of thr compound
Kindly solve this question 6 too !!
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1[/tex]
What IS the slope of a line that is perpendicular to the line y= --x + 5?
• -2
-1/2
1/2
• 2
Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then
k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1We have the line y = -x + 5 ⇒ a₁ = -1.
Therefore
a₂ · (-1) = -1
-a₂ = -1 Ichange the signs
a₂ = 1In (x, y), if x is _____________, then (x, y) lies either in the 2nd quadrant or in the 3rd quadrant.
Negative
there are four quadrant in the coordinate plan systemvalues of X and y 1st quadrant - ++ 2nd - - + third - - fourth + -Can someone help please?
Thank you.
Answer:
B and C are the answers.
Step-by-step explanation:
3b+b = 4b because the value of B or any variable is 1 so 3 +1 is four and 4b is our answer.
2(2b) the brackets tell the number before brackets should be multiplied and 2 × 2 is 4 so the answer is 4b
