Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals
Answer:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Step-by-step explanation:
Given that polynomial:
[tex]p(x)=x^3-7x-6[/tex]
Known factor: [tex](x+1)[/tex]
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.
[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]
Solving the quadratic:
[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]
So, the answer is:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Answer:
(x+1)(x+2)(x-3)
Step-by-step explanation:
LAST ONE I NEED HELP ON PLEASE
Answer:
A
Step-by-step explanation:
First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.
Plz mark brainliest!!! I spent lot of time on this.
The sum of three consecutive numbers is 123.
What is the smallest of the three numbers?
Answer:
The three numbers are 40, 41 and 42. So the answer would be 40
What is the y intercept of y= -3x-2
(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)
Answer:
-2
Step-by-step explanation:
we always know that the y intercept is after the x part. for example, if it was
y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign
Solve the system of equations:
3x-3y = -15
and
-x+y = 5
Answer:
x=0 y=5
trust me I think its right
What is 12.18 x 103 =
Answer:
1,254.54
Step-by-step explanation:
Answer:
1,254.54
Step-by-step explanation:
− 3/4 is a rational number, but not an integer. Explain why below.
− 3/4 is not an integer but a a rational number.
Why is this correct?A rational number is simply a number that can be written as a fraction with both the numerator and denominator being integers (where the denominator's not zero). For instance lets consider 3/4 as an example. It can be expressed as the fraction 3/4, where 3 and 4 are both integers.
On the hand an integer is a number that is not, in the form of a fraction. In the case of 3/4 it cannot be classified as an integer since it represents a fraction, than a whole number.
Learn about rational numbers here https://brainly.com/question/12088221
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find the value of x and y
(5y-23)
(2x+13)
(3x)
47
Answer:
Hope it help, and please give me Brainlest!
Step-by-step explanation:
I just know this one. I'm so sorry!
2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]
The value of x and y in the given figure is 14° and 23° respectively.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.
∴ 47° + (2x + 13)° + (5y - 23)° = 180°.
47° + 13° - 23° + 2x + 5y = 180°.
2x + 5y = 143°...(i).
Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.
∴ 3x + (5y - 23)° = 180°.
3x + 5y = 157°...(ii)
Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.
learn more about transversal here :
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Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2. points A and B points B and C points C and D points A and D
Answer:
Points B and C are opposite
Step-by-step explanation:
0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.
Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left
Answer:
b and c are opposites
Step-by-step explanation:
other guy was right
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
What is the binary number for 16
Answer:
Decimal Number 4-bit Binary Number Hexadecimal Number
14 1110 E
15 1111 F
16 0001 0000 10 (1+0)
17 0001 0001 11 (1+1
Step-by-step explanation:
hope this helped
What is the result of the arithmetic operation?
3**4 =
Answer:
81
Step-by-step explanation:
i did le math, and its right on ed2020
please help me with these.. brainliest.
Answer:
it will be on platform 9 3/4
Step-by-step explanation:
Selena wants to sell hot dogs at a local sports arena. She must pay a fee of $25 $25 to sell hot dogs and estimates each hot dog will cost her $0.75 $0.75 . Selena plans on selling each hot dog for $2.00 $2.00 . What is the minimum number of hot dogs ( x x ) Selena needs to sell for the revenue to be greater than or equal to her cost?
Answer:
20
Step-by-step explanation:
Let the cost of 1 hot dog be $x.
2x ≥ 25 + 0.75x
2x - 0.75x ≥ 25
1.25x ≥ 25
x ≥ 20
Tracy spends $97 on her cell phone bill this month. Her bill is usually around the same amount each month. If she wants to include an estimate of her cell phone bill in her monthly budget, what amount should she use? Round to the nearest ten.
Answer:
$100
Step-by-step explanation:
97 is rounded to 100 because the last digit is more that 5.
I hope this helped, please mark Brainliest, thank you!
Pls help I will give u 50 points
Answer:
y=13.50x
Explanation:
Answer:
Step-by-step explanation:
stop the cappppppppppp
helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz
Answer:
thr answer is 6(2n-3) this is rhe answer
Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)
Step-by-step explanation:
We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.
-2x+7>17
subtract 7 on both sides
-2x>10
divide by -2. remember that dividing by a negative flips the greater than or less than sign.
x<-5
the answer is D
I need help please
Answer:
no solution, these are parallel lines b/c same slope
Step-by-step explanation:
rewrite first one to = y : y = 3x + 10
3x + 10 = 3x - 6
Find the measure of each angle (help me please)
Answer:
<1=39 degrees
<2=141 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps:)
plz mark as brainliest
Answer:
x-38+x+64=180(supplementry angle)
2x+26=180
2x=180-26
2x=154
x=154÷2
x=77
Again,1st angle
x-38
77-38
39
2nd angle,
x+64
77+64
141
Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and have no flowers left over, how many daisies will be in each flower arrangement?
Answer:
3 daisies.
Step-by-step explanation:
Given that,
Samantha has 32 roses and 96 daisies.
She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.
For this, we need to first find the HCF of 32 and 96.
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
HCF = 32
No of daisies = 96/32 = 3
Hence, there are 3 daisies in each flower arrangement.
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
Hope that helped :)
Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?
Answer:
137$
Step-by-step explanation:
Let the slope of the equation be
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
where y = Total pay
x = T-shirts sold
Take any two values of x and corresponding y value
[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]
The equation will be
[tex]y=mx+b[/tex]
Finding b
[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]
The equation is
[tex]y=3x+65[/tex]
Now sasha sells 24 shirts [tex]x=24[/tex]
[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]
Sasha would earn 137$ on that day.
WILL GIVE BRAINLIEST!!!!! Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 – 3x The value of y from the second equation is substituted back into the first equation. What is the resulting equation? What is the value of x? What is the value of y?
Answer:
x=3 y=-1
Step-by-step explanation:
2x+3y=3;y=8−3x
Rewrite
y=−3x+8 2x+3y=3
Step: Solvey=−3x+8 for y:
y=−3x+8
Step: Substitute−3x+8foryin2x+3y=3:
2x+3y=3
2x+3(−3x+8)=3
−7x+24=3(Simplify both sides of the equation)
−7x+24+−24=3+−24(Add -24 to both sides)
−7x=−21
−7 - 7
x=3 (Divide both sides by -7)
x=3
Step: Substitute3forxiny=−3x+8:
y=−3x+8
y=(−3)(3)+8
y=−1(Simplify both sides of the equation)
this might be confusing but you gotta study :)
molly bought a lunch special that was originally $14 today it is on sale for 20% off what is the sale price of the lunch special
slope of points (-11,5), (-6,0)
In standard form 0.0325 is written as?
Answer:
In standard form 0.0325 is written as 0.0325
In scientific notation it is written as:
[tex]3.25^{ - 2} [/tex]
The standard form of 0.0325 is written as
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Given:
0.0325
Writing in standard form means writing in scientific notation (power of be 10)
When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.0.0325
The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2
Therefore,
0.0325
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Read more:
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The x coordinate for an ordered pair in the solution set of x+2y=11 is 3. find the y coordinate
Answer:
y=4
Step-by-step explanation:
solve for y. I have the work shown in the picture I attached.
54÷6+0.42×(9×8÷2+82)
Answer:
58.56
Step-by-step explanation: