Answer:
Adult= 7 tickets
student= 27 tickets
Step-by-step explanation:
Step one:
let adult tickets be x
and students be y
Adult tickets cost $8 and
student tickets cost $7
So
[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]
Step two:
from equation 2
x=34-y
put the value of x in equation 1
[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]
put y= 27 in equation 1
[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]
Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
Match these?
LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Answer:
see below
Step-by-step explanation:
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
This is angle side angle ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
This is hypotenuse leg HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
This is side side side SSS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
This is leg angle LA
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
This is side angle side SAS
what's the area of the quadillateral
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
28.2% of 92 this is for math
Hey there!
Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying
So we can simply multiply 28.2% from 92
28.2% = 28.2/100 = 0.282
New equation
0.282 * 92 = the answer
0.282 * 92 = 25.944
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."
What’s my number? Show your work and explain how you know your answer is correct.
Answer:
The number is 24
Step-by-step explanation:
This can be written algebraically as: [tex]\frac{x}{4}+7=13[/tex]
Solve for x, in which the steps are shown below.
Thanks for the question! :)
I’ll mark brainliest please help with all and leave a small explanation! :)
Answer:
A y=6 x= 3
B y=4 x= 2
C y=6 x= 2
D x= 4 y= -2
Step-by-step explanation:
you need to add the numbers on and look how many once u do thag u can see the pattern it makes
how do you find a slope
Answer:
rise/run
Step-by-step explanation:
rise meaning the y value, run meaning the x value
Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.
Answer:
Give me sum
Step-by-step explanation:
Answer:
Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.
Step-by-step explanation:
PLEASE HURRY) The graph indicates the running route for Tobias
Which best describes his run
A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.
Answer: B. From time 6 to 10, he was at his slowest.
Step-by-step explanation: I just took the same quiz so HURRY!!!
Answer:
b
Step-by-step explanation:
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...
6.2
O 6.4
O 1.4
which one ?
Steel is an alloy of iron and carbon (98% iron, 2% carbon). Stainless steel is steel and chromium, (90% steel, 10% carbon). What amount of iron, carbon, and chromium are needed for 500 kg of stainless steel?
500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.
450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.
450 x 0.02 = 9 kg of carbon is needed for the steel.
50 kg of chromium is needed.
Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.
Total iron = 441 kg
Total carbon = 9 + 5 = 14 kg
Total chromium = 50 kg
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)
Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?
Answer:
Price of tne Vest + $40 - 1.40 = $38.6
Step-by-step explanation:
3.5% * n = $1.40
0.035 * n = $1.40
0.035/0.035 * n = $1.40/0.035
n = $40
The price of the vest not including the tax is, $40
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products
Now,
Let p = price of a vest
Hence, from the question, this equation can be formed,
⇒ 35% of p = $1.40
⇒ 0.035 x p = $1.4
divide both sides of the equation by 0.035;
⇒ p = $40
Thus, The price of the vest not including the tax is, $40
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Complete question is this;
Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%
Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?
Answer:
14
Step-by-step explanation:
Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)
Answer:
6(7+)
Step-by-step explanation:
1) Start by solving the original equation
42 + 12 = 54
2) Solve the other equations until you find a match
2a) Start with what's in the parenthesis
7(6+5) = 7(11) = 77
2b)
2(40+6) = 2(46) = 92
2c)
6(7+2) = 6(9) = 54
This is your answer
2d)
10(32+2) = 10(34) = 340
Answer: 6(7 +2)
Step-by-step explanation:
Calculate 42 + 12, which is 54.
Calculate 7(6 + 5), which is 7 * 11 = 77.
Calculate 2(40 + 6), which is 2 * 46 = 92.
Calculate 6(7 + 2), which is 6 * 9 = 54.
Calculate 10(32 + 2), which is 10 * 34 = 340.
And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.
Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit
$125, how many t-shirts did he sell?
Answer:
He sold 17 shirts at the festival.
The total number of t-shirts Felipe sold is 17 t-shirts.
Consider that the number of t-shirts Felipe sold be "x".
Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.
His total profit is given as $125.
So we can write the following equation:
5x + 40 = 125
Subtracting 40 from both sides;
5x = 85
Dividing both sides by 5, we get:
x = 17
Therefore, Felipe sold 17 t-shirts.
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PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!
Answer: can it be a bit clearer pls?
Step-by-step explanation:
1. Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
2. Jovie earns $8.25 for the hours that she is at work. This week she earned $288.75. Write an equation to solve how many hours she worked. Use x for the variable and do not have any spaces. Pls help :(
Answer:
Chicken nugget
Step-by-step explanation:
Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?
Answer:
it will take him 16 weeks
Step-by-step explanation:
290 subtract 50 equals 240
240 divided by 15 equals 16
Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.
Answer:
Equation: n=3m; Bob needs to read 51 novels over 17 months.
Step-by-step explanation:
Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51
2 L = _____ ml can someone help? :((
Answer:
2000
Step-by-step explanation:
Answer:
2000 ml
Step-by-step explanation:
if f = 3, g = -4 and h = -5
[3-h]+13
Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time
Answer:
Y=62x
Step-by-step explanation:
The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.
Given :
Car X travels 186 miles and 3 hours.
The following steps can be used to determine the equation of the line that describes the relationship between distance and time:
Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.
Step 2 - The speed is given by the ratio of distance to time.
[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]
Step 3 - Now, put the value of distance and time in the above equation.
[tex]\rm Speed = \dfrac{y}{x}[/tex] ---- (1)
Step 4 - According to the given data the speed is given by:
[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]
Step 5 - Now, put the value of speed in equation (1).
[tex]\dfrac{y}{x}= 62[/tex]
y = 62x
The equation of the line that describes the relationship between distance and time is (y = 62x).
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Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20
Answer:
D. 15/20
Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.
Answer:
D 15/20
Step-by-step explanation:
What is the answer to this radical functions equation ASAP
HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP
Answer:
the 3rd one im pretty sure
Step-by-step explanation:
Answer:
the 3rd one <3
Step-by-step explanation:
Help Please, im stuck on this question.
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answer:
110,........................