28 is the number of tickets of the second prize
How to calculate how many tickets the second prize is?
A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Given that:
The first time wins = 60 tickets
The second time, she won a bonus, which was 4 times the number of tickets of the second prize
Altogether she won 200 tickets
Let N represent the number of tickets of the second prize
This can be written as:
60 + N + (4×N) = 200
60 + N + 4N = 200
60 + 5N = 200
5N = 200 -60
5N = 140
N = 140/5
N = 28
Therefore, the number of tickets of the second prize is 28
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Which of the following is not a polynomial? 7−z 2p3q2− pq3 −5x+ 6y −3/x
The algebraic expression -5x+6y-3/x is not a polynomial.
The given polynomials are 7-z, 2p³q²-pq³ and -5x+6y-3/x.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here,
In 7-z has non-negative integer as exponent
So, it is a polynomial
In 2p³q²-pq³ has non-negative integer as exponent
So, it is a polynomial
In -5x+6y-3/x has negative integer as exponent, which is [tex]x^{-1}[/tex]
So, it is not a polynomial
Hence, the algebraic expression -5x+6y-3/x is not a polynomial.
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Are the two given triangles similar? Show your work to support your answer.
Helpppp please
Answer:
no
Step-by-step explanation:
1 is obtuse one is acute
Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.
bxjabcbkbkebwjbckjwStep-by-step explanation:
Answer:
this is step up very weird could you set it up a bit clearer?
Step-by-step explanation:
6. What are the solutions for p2 - 16 = 0 ?
A) {-4,4} B) {4}
C) {-8, 8} D) {8}
Answer:
A
Step-by-step explanation:
Given
p² - 16 = 0 ( add 16 to both sides )
p² = 16 ( take the square root of both sides )
p = ± [tex]\sqrt{16}[/tex] = ± 4
Thus solution is { - 4, 4 } → A
What is the algebraic expression for 10 more than a number one s greater than 50
Answer (let x be the number):
x + 10 > 50
Step-by-step explanation:
Let x be the number
10 more than a number = x + 10Is greater than 50 = > 50Put them together: x + 10 > 50I hope this helps!
Each student earns 3/4 point for every bonus question. If a student gets 6 bonus points, how many bonus questions did a student answer correctly?
Answer:
8
Step-by-step explanation:
PLEASE HELPPPPP!!!!! WILL GIVE BRAINLIEST
If r represents the radius of a cylinder, what might the expression below represent? begin 2 πr cubed
A.
the volume of a cylinder whose height and diameter are equal
B.
the volume of a cylinder whose height and radius are equal
C.
the lateral area of a cylinder whose height and diameter are equal
D.
the lateral area of a cylinder whose height and radius are equal
Answer:
Step-by-step explanation: Equations representing direct, inverse, and joint variation are examples of ... When solving problems using rational formulas, it is often helpful to first solve the ... Now let's look at an example using the formula for the volume of a cylinder. ... is V = πr2h, where V is the volume, r is the radius and h is the height of the cylinder
If r represents the radius of a cylinder then 2πr³ can represent D. the lateral area of a cylinder whose height and radius are equal.
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Lateral surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, r represents the radius of a cylinder.
The expression 2πr³ can represent the lateral surface area of a cylinder whose height and radius are equal.
The lateral surface or curved surface area of a cylinder is 2πrh.
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Given f(x) = x^3 + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k?
The required simplified value of k is 8 for given conditions.
Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
f( x ) = x³ + kx + 9 / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8
Thus, the required simplified value of k is 8.
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Karate Dojo charges $25 fee and $50 each month for Karate classes.
Write a linear equation that represents all of the charges from Karate Dojo.
I need help please will markbrianlyest
Which pair shows equivalent expressions?
A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10
Answer:
It's C
Step-by-step explanation:
When you multiply - 2 to what you have in the brackets you get - 2x - 10
Hope this helps, have a wonderful day
Gavin went shopping for a new pair of sneakers because of a sale. The store was offering a 20% discount. If the price on the tag was $46, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
$36.80
Step-by-step explanation:
A function and its inverse are shown on the same graph. Which statement describes the relationship between the function and its inverse?
Answer:
D should be right
Step-by-step explanation:
the ratio of boys to girls in a class is 4 : 5 how many girls are there in a class if 12 boys are in the class
Answer:
15
Step-by-step explanation:
Hey! Pretty stranger :D
AsnwEr:
Number of girls in class = 15GivEn:
The ratio of no. of boys to no. of girls in a class is 4:5.Number of boys in class = 12To find:
Number of girls in class?Solution:
☯ Let number of girls be x.
Given that,
The ratio of no. of boys to no. of girls in a class is 4:5.Therefore,
→ 12/x = 4/5
→ x = 12 × 5/4
→ x = 60/4
→ x = 15
∴ Hence, number of girls in a class is 15.
What is the common ratio:The sequence 200, 100, 50, 25, ... has a common ratio of___
Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]
[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]
The common ratio between third term 50 and second term 100 is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]
Hence, the common ratio is 1/2.
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What is $36 plus $36
Answer: The answer is 72
Step-by-step explanation:
solve by factorisation 2x^2+3x-20=0
Answer:
(2x-5)(x+4)
....................
The perimeter of this rectangle is 156 cm.
What is the length and width of the
rectangle?
2x + 1
3x + 2
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?
Answer:
my mom calls me I'll be back
36 is what percent of 200?
Answer:
18
Step-by-step explanation:
Answer:
18 percent
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i need help!!! will mark brainlist
Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.
For every quart she picks, she adds $ _____
to her total earnings for the day.
How much does Alyssa earn if she picks 0 quarts of strawberries?
$ ____
Answer:
1. She gets $3 per quart she picks.
2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.
helpp
hhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeelllllllllpppppppp
Answer:
a goes with -1/2
b goes with -2
c goes with 2
d goes with -1/2
just multiply the x values of the top equation by the answers and you'll get the x values of the bottom equation :)
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What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]GMM
The numbers are
36
X
And 46 degrees
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
9. Which graph can be used to find the solution to the system of equations?
y = x-1
9y = 6x – 15
Please help me I don’t understand
Answer: I don't understand either :{
But I do know that you have to look at the little letters to answer the questions about the triangle. Like when it asks, "What are the possible values for x?" you have to find x then say what the possible values for x are. Hope that helps a little bit
six celebrity starring in a popular sitcom that has a 12-show season of each page $750,000 per episode additional cost of producing a sitcom total $275,000 per episode. A 12- show reality series cost $350,000 so produce each episode. What is the difference between the total cost to produce the sitcom and the reality series?
Answers: A is $53,100,000.00 B is $4,200,000.00 C is $57,300,000.00 and D is $61,500,000.00
Answer:
Choice A
Step-by-step explanation:
YW
Help!!!! 10 points Taking a test Micah invested $3450 in an account paying simple interest. At the end of 6
years, the value of his account was $3967.50. What was the interest rate? *
O a. 1.5%
O b. 2.0%
O c. 2.5%
O d. 15%
Answer:
The answer is C.
Step-by-step explanation:
First, you have to find the interest amount after 6 years. In order to do this, you have to subtract :
[tex]3967.50 - 3450 = 517.50[/tex]
Next, you have to apply simple interest formula, I = (P×R×T)/100 where I repesents interest amount, P is priciple, R is interest rate and T is number of years :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 517.50,p = 3450,t = 6[/tex]
[tex]517.50 = \frac{3450 \times r \times 6}{100} [/tex]
[tex]517.50 = \frac{20700r}{100} [/tex]
[tex]51750 = 20700r[/tex]
[tex] \frac{51750}{20700} = r[/tex]
[tex]r = 2.5\%[/tex]
DUE ASAP AT 11!!!!!!!!1 -3x - 6x = 6 + x - 7x
A -2
B -12
C -3
D 11
Answer:
The correct answer is -2
Answer:
-2
Step-by-step explanation:
3x-6x=6+x-7x
=> -3x-x+7x=6
=> -4x+7x=6
=> 3x=6
=> x=6/3
=>x=2
For box A , find the constant proportionality .