Step-by-step explanation:
1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;
3) using the two equations it is possible to make up the system:
[tex]\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.[/tex]
4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.
5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.
What are the values of the variables in the triangle below?
Answer:
D) x=9 ; y=3√(3)
Step-by-step explanation:
[tex]Sin(30)=\cfrac{y}{6\sqrt{3} }[/tex]
[tex]\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)[/tex]
[tex]\sqrt{3}y=9[/tex]
[tex]\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}[/tex]
[tex]y=3\sqrt{3}[/tex]
~
[tex]Cos(30)=\cfrac{x}{6\sqrt{3} }[/tex]
[tex]\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)[/tex]
[tex]\sqrt{3}x=9\sqrt{3}[/tex]
[tex]\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x=9[/tex]
Therefore, x=9 and y=3√(3)
~
A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41. 4 square centimeters. What is the length of the longer side of the rectangle?Use 3. 14 for π. Enter your answer as decimal in the box
The length of the longer side of the rectangle is 8.78cm
Area of composite figureThe formula for calculating the area of a rectangle is expressed as:
A = lw
For a semicircle;
A = πr²/2
r is the radius
Area of the figure = lw + πr²/2
Substitute the given paramters
41.4 = 4w + π(2)²/2
41.4 = 4w + 6.28
4w = 41.4 - 6.28
4w = 35.12
w = 35.12/4
w= 8.78 cm
Hence the length of the longer side of the rectangle is 8.78cm
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5x+3=x+11
x=?
(step by step, I am very not smart)
Answer:
x=2
Step-by-step explanation:
5x+3=x+11
5(2)+3=2+11
10+3 = 2+11
13=13
Therefore, x=2
(basically you just plug in random numbers and see if it gets you the same answer on both sides)
Hope this helps!!
please helppppppppppp
Answer:
x=√-5
Step-by-step explanation:
8-3x=√(4x^2+20)+8
-8 -8
-3x^2=√(4x^2+20)^2
-3x^2=4x^2+20
-4x^2=20
divide both sides by -4
x^2=-5
√(x^2)=√-5
x=√-5
Which polynomial is prime? x4 3x2 – x2 – 3 x4 – 3x2 – x2 3 3x2 x – 6x – 2 3x2 x – 6x 3.
The polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial because it is not reducible or does not have factors.
Given polynomials are:
[tex]1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3[/tex]
What are prime polynomials?A polynomial not having more than one factor is called a prime polynomial.
Factors of the first polynomial are [tex](x^2-1),(x^2+3)[/tex]
Factors of the second polynomial are [tex](x^2-1),(x^2-3)[/tex]
Factors of the third polynomial are [tex](x-2) (3x+1)[/tex]
There are no factors of the fourth polynomial so this is a prime polynomial.
Therefore, the polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial.
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Find the slope of the line that passes through the following points: (1,0)
and (6,-3). (Show your work.)
Answer
-3/5
Step-by-step explanation:
to find this you have to use the equation y1 - y2 / x1 - x2
so first write -3 - 0 (or 0 - - 3) over 6 - 1
it looks like -3/5
8. Evie buys colored
Pencils for $3.79
markers for $5.80, and
paper for $2,57, She
Pays 6.25% Sales tax.
How much does she
spend total?
The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.
Please help, thank you!
Answer:
23, 25, 27
Step-by-step explanation:
n + (n+2) + (n+4) = 4n - 17
3n + 6 = 4n - 17
3n - 4n = -17 - 6
-n = -23
n = 23
therefore,
23, 25, 27 are the 3 consecutive odd integers
Tyshaun buys music online. Each song costs $2 plus a $5 fee for using the artist’s site. He has no more than $40 to spend. Which inequality shows the number of songs, s, Tyshaun can purchase?
Answer:
I dont see options, but the answer should be: X(2+5)≤40
Step-by-step explanation:
For a new hobby, Leo purchases a vintage camera for $475. Leo pays $5.99 for each roll he gets developed. Calculate how much Leo’s new hobby is costing him based on the number of film rolls he needs to develop.
Answer:
A = 5.99x + 475
Step-by-step explanation:
In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.
Naelly is taking a class trip to Washington DC. The cost of the trip is $459. 60. Naelly paid an initial deposit of $150, and must make the remainder of the payments in 12 equal monthly payments. What is the amount of each monthly payment in dollars and cents?
459.6 - 150 = 309.6
309.6 / 12 = $25.80 a month for 12 months
Solve for X (simplify your answer)
Answer:
x is given as -1.5. Substitute to confirm
is 14.624777961 rational or irrational
Step-by-step explanation:
Rational number because it's terminating
I have a test tomorrow! I am trying to study. I have no clue what the difference between scale and scale factor is! How do you find them? I have to know in 20 min. Please HELP!!!
Answer:
they are similar
Step-by-step explanation:
a scale is a normal number scale while a scale factor is a scale but instead of normal numbers it uses factors
Let's see
Scale usually denotes unit rate or a numerical value change mentioned above graphs
1in=3ft.1cm=1mScale factor is same but it uses factors .
like
1/32/5Write an expression to represent the perimeter of Melissa’s garden in terms of x.
Type the correct answer in each box. Use numerals instead of words.
As no diagrams attached provided the formulas which can helps you to solve by yourself
Square--4(side)Rectangle--2(Length+Breadth)Triangle--(Sum of 3 sides)Any quadrilateral--(sum of 4 sides)The expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is given as
P = 2(x+ y)
where;
x = 3x + 2
y = x + 5
Substitute
P = 2(3x + 2 + x + 5)
P = 2(4x + 7)
P = 8x + 14
Hence the expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14
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Please answer this friends ?
Answer: Rs. 6075
40500×(15/100)= 6075
Step-by-step explanation:
What is the answer ?5(y+2/5)=-13
Answer:
y=-3
Step-by-step explanation:
5(y+2/5)=-13
5y+2=-13
5y=-15
y=-3
Kevin plants a total of 72 flowers in equal rows. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row.
Answer:
72 +6+2 equal80
Step-by-step explanation:
have to pluse all
Which is the estimate of 398 x 1.9?
Answer:
800
Step-by-step explanation:
When we say estimate, we must estimate the 2 numbers to their closest answer:
398- 400 when rounded to the nearest 100
1.9- 2 when rounded to the nearest whole number
So we get the estimate equation as: 400×2= 800
Solution:
We know that:
[tex]\tex\text{398 can be rounded to 400, as 398 is close to 400.}[/tex][tex]\tex\text{1.9 can be rounded to 2, as 1.9 is close to 2.}[/tex]This means that:
[tex]398 \times 1.9[/tex] ≈ [tex]400 \times 2[/tex]Simplifying "400 x 2"
[tex]400 \times 2[/tex] [tex]= 800[/tex]Thus, the estimate of 398 x 1.9 is about 800.
math answer? can someone help?
Answer:
I think the answer is "A"
the distance covered by a spider is 5 km in 6 hours. What is its speed?
Answer:
0.83km/h
Step-by-step explanation:
v (velocity/speed) = d (distance)/t (time)
v = 5km/6h
v = 0.83km/h
Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46℅ of his collection. How many books does he have in his collection?
-- pls explain!!!
Answer:
46% of 115 gives 52.9 because it is the total of books that is not given
How do i figure out the degrees?
Answer:
41°
Step-by-step explanation:
This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.
-1125 = -1500·cos(A)
cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)
A = arccos(3/4) ≈ 41.4096°
The angle formed by the lines to the lampposts is about 41°.
__
Additional comment
If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.
In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.
Please help me do to night
Answer:
1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48
Step-by-step explanation:
10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y
10(-0.4(3)+3(2))
10(-0.4(3))+10(3(2))
10(-1.2)+10(6)
-12+60
= 48
Downtown it snowed 1/10 of an inch inthe morning and 3/10 of an inch in the evening. How much more snow fell in the evening than in the morning?
Answer:
2/10
Step-by-step explanation:
Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.
Have an amazing day!
PLEASE RATE!!!
I need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
no calculator or Excel sheet ?
(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25
((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8
(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6
(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27
(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4
remember 2 things :
1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).
2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.
a / 1/b = a × b/1 = a × b
A number cube is rolled and a coin is flipped. What is the probability that a number greater than 2 is rolled and the coin lands on heads?
Answer:
1/3
Step-by-step explanation:
The probability that a number greater than 2 is rolled is 4/6 {2, 3, 4 and 6} The probability that the coin lands on heads is 1/2
You can multiply 1/2 and 4/6 to find out the total number of possible outcomes: 1/2 × 4/6 = 4/12. This can be simplified to 1/3.
Hope this helps!
The temperature outside changed from 94°F to 46°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer:
6°F
Step-by-step explanation:
First, subtract 46 from 94 (94-46) and you will get 48.
Then, divide 48÷8 (because the time period is 8 days) and you will get 6.
Therefore, the daily temperature change is 6°F.
4s^3 when s=2
plsss help
Answer:
32
Step-by-step explanation:
=> 4s[tex]{}^{3} [/tex]
=> 4(2)[tex]{}^{3} [/tex]
=> 4(2×2×2)
=> 4(8)
=> 32
WHAT IS THE MEAN MEDIAN MODE?
Answer:
the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data
Step-by-step explanation: