Answer:
1st and 6th option, 35 adult tickets
Step-by-step explanation:
So we know adult tickets are x and children tickets are y.
The total number of tickets is 57, so
x + y = 57
The adult tickets are worth 6 and the children's tickets are worth 2.50.
The total cost is 265.
6x + 2.5y = 265
Now, the system of equations.
6x + 2.5y = 265
-6x - 6y = -342
-3.5y = -77
y = -77/-3.5
y = 22
Plugging y back in
x + 22 = 57
x = 35 adult tickets sold
* $265 worth of tickets were sold
* Adult tickets cost $6
* Child tickets cost $2.50
* 57 tickets were sold
To Find ↷Let x represents the number of adult tickets sold and y as the number of child ticket sold
Which squations equation represents the scenerio? select 2 options
Answer ↷x ⇢No. of adult tickets soldy⇢No. of child ticket soldso ,the equations would be
⤿ x + y = 57 ✓
⤿ 6x + 2.5y = 265 ✓
Solution↷x + y = 57.....(1)
6x + 2.5y = 265.....(2)
Multiplying equation 1st by 6
we get,
6x + 6y = 342 ...(3)
subtracting equation (3) by equation (2)
we get,
6x + 6y = 342
-6x + 2.5y= 265
_____________
ㅤㅤ 3.5y =
ㅤㅤ y = 77/3.5
ㅤㅤ y = 22
_______________
y = 22x = 57-22 = 35______________________________
A child ticket⇢ $ 2.5 x 22= $ 55An adult ticket⇢ $ 6 x 35 = $ 210_______________________________
Total cost ⇢ $55 +210 = 265_______________________________
Please help will give brainliest
Answer:
for freeee
Step-by-step explanation:
Use the equation to answer the following question. 3x^(2)+7x-20=0
What are the solutions of the equation?
A. x=-(5)/(3) and x=4
B. x=-(4)/(3) and x=5
C. x=(4)/(3) and x=-5
D. x=(5)/(3) and x=-4
I just need help please
Answer:
D. x=(5)/(3) and x=-4
Step-by-step explanation:
mulitply 3 and -20 =
-60
which 2 factors of -60, that when added make +7?
+12 and -5 do this
3(x+12/3)(x-5/3) = 0
3(x+4)(x-5/3)=0
divide both sides by 3
(x+4)(x-5/3)=0
x= -4 and x=5/3
Two triangles that have three pairs of proportional sides are always similar. Identify the ratios of the length of
each side. Tell whether the triangles are similar or not similar and explain why.
Triangle 1: 18, 24, 36
Triangle 2: 16, 18, 24
Answer:
Step-by-step explanation:
Given "Two triangles that have three pairs of proportional sides are always similar."
Triangle 1: 18, 24, 36
Triangle 2: 16, 18, 24
16/18 = 8/9
18/24 = 3/4
24/36 = 2/3
So the three pairs of sides are not proportional and the triangles are not similar.
No as
One ratio is unsimilar so triangles are not similar
Amy went on a vacation for 6 weeks last summer. how many days. long was
Amy's vacation
Answer:
42 days
Step-by-step explanation:
6 weeks times 7 days is 42 days i believe
What is the volume of the figure below if a = 9 units and b = 7 units?
A.
364.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
760.5 cubic units
Answer: C
Step-by-step explanation:
Start a 4 create a pattern that multiplies each number by 2 and subtracts 1. Stop when you have 5 number
Answer:
(0 x 2) - 1 = -1
(1 x 2) - 1 = 1
(2 x 2) - 1 = 3
(3 x 2) - 1 = 5
2. Calculate the area of
the three figures.
Which figure has the
greatest area?
Answer:
can you send a clearer picture
Jane is 7 years older than John.If the sum of their ages is 43.How old is Jane and how old is John
Answer:
If
Jane= x
John = y
y+7= x
x-y=7 ---- (1)
x+y=43 --- (2)
(1) + (2),
x-y+x+y=7+43
2x=50
x= 50÷2
x= 25
substituting x= 25 in (2),
25+y=43
y= 43-25
y= 18
Jane is 25 years old and John is 18 years old.
Step-by-step explanation:
What is the product of (3 y Superscript negative 4 Baseline) (2 y Superscript negative 4 Baseline)? StartFraction 6 Over y Superscript 8 Baseline EndFraction StartFraction 1 Over 6 y Superscript 6 Baseline EndFraction StartFraction 6 Over y Superscript 16 Baseline EndFraction StartFraction 1 Over 6 y Superscript 16 Baseline EndFraction.
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are as 3y⁻⁴ and 2y⁻⁴.
The product of these two will be
[tex]\rm 3y^{-4} * 2y^{-4}\\\\3*2*y^{-4}*y^{-4}\\\\6*y^{-4-4}\\\\6*y^{-8}\\\\\dfrac{6}{y^{8}}[/tex]
The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.
More about the multiplication link is given below.
https://brainly.com/question/19943359
The result of the product expression [tex](3y ^{-4}) (2y^{-4})[/tex] is 6/y^8
How to determine the product?The product expression is given as:
(3y ^{-4}) (2y^{-4)
Rewrite the expression properly as:
[tex](3y ^{-4}) (2y^{-4})[/tex]
Rewrite the factors of the expression as fractions
[tex]\frac{3}{y ^4} * \frac{2}{y^4}[/tex]
Multiply 3 and 2
[tex]\frac{6}{y ^4*y^4}[/tex]
Apply the law of indices
[tex]\frac{6}{y ^{4+4}}[/tex]
Add 4 and 4
[tex]\frac{6}{y ^{8}}[/tex]
Hence, the product of [tex](3y ^{-4}) (2y^{-4})[/tex] is [tex]\frac{6}{y ^{8}}[/tex]
Read more about products at:
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Terry has an investment account which compounds interest continuously at an annual interest rate of 1. 4%. After 3 years, he has $1700 in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you've calculated the final answer
Answer:
$1,630.08
Step-by-step explanation:
The value of an amount earning interest continuously compounded is given by the formula ...
A = Pe^(rt)
The value of P can be found by dividing by its coefficient:
P = A/(e^(rt)) = Ae^(-rt)
P = $1700·e^(-0.014·3) ≈ 1630.0786
Terry placed $1,630.08 in the account.
x+5÷2=1 how to solve it.
my mistake wrong answer, sorry
A clock's minute hand travels one full circle each hour. A particular clock's minute hand is 10. 2 cm. What is the approximate area covered by that minute hand in 3 hours? Use 3. 14 for π. 192. 17 cm² 326. 69 cm² 980. 06 cm² I don't know.
In three hours, it will cover 3 full circles. Then the area of the circle covered in three hours is 980.55 cm².
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A clock's minute hand travels one full circle each hour.
A particular clock's minute hand is 10.2 cm.
In one hour, it covers one full circle. Then in three hours, it will cover 3 full circles.
The area of the circle covered in three hours will be
[tex]\rm Area \ of \ circle \ in\ 3\ hours = 3 * area\ of\ one\ circle\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi r^2\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi*10.2*10.2\\\\Area \ of \ circle \ in\ 3\ hours = 980.55[/tex]
More about the circle link is given below.
https://brainly.com/question/11833983
Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?
Using translation concepts, it is found that the ordered pair of the final point is given by:
D. (5,4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this situation, considering that we start at point (5,4), the translations are as follows:
5 units east, hence x = x + 5 = 10.4 units south, hence y = y - 4 = 0.4 units west, hence, x = x - 4 = 6.4 units north, hence y = y + 4 = 4.1 unit west, hence x = x - 5 = 5.It ends at the starting point, hence option D is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
This is for my little brother
Answer:
9 1/3
Step-by-step explanation:
Pls, choose me as brainliest!
Evaluate the expression.
4x−5 for x=10
Enter the correct answer in the box.
Step-by-step explanation:
Substitute the given value of x into the expression;
[tex]4(10)-5[/tex]
Multiply;
[tex]40-5[/tex]
Subtract;
[tex]35[/tex]
Y-3 = 5(X-2) in standard form
Answer:
5x-y=7
Step-by-step explanation:
y-3=5(x-2)
y-3=5x-10
y=5x-10+3
y=5x-7
5x-y=7
Evaluate the expression when a=- 7 and x=3.
a-8x
Answer:
-31
Step-by-step explanation:
a - 8x will change to (-7) - 8(3) = -31
Answer:-31
\(31\)
Step-by-step explanation:
Substitute: \(7 - 8 \times (- 3)\)
Remove the parentheses:\(7 + 8 \times 3\)
Calculate the product or quotient:\(7 + 24\)
Calculate the sum or difference:\(31\)
Answer: \(31\)
Write a+b as a difference.
Answer:
I think a-b.
Step-by-step explanation:
Hope it's help you ✨
Write an equation to determine the measure of
If you are given the graph of g (x) = log Subscript 2 Baseline x, how could you graph f (x) = log Subscript 2 Baseline x 5? Translate each point of the graph of g(x) 5 units up. Translate each point of the graph of g(x) 5 units down. Translate each point of the graph of g(x) 5 units left. Translate each point of the graph of g(x) 5 units right.
The function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function that is given to us is f(x)=log₂x, therefore, the function can be written as,
[tex]y=f(x)=\rm log_2x[/tex]
Now, since we need every point to be up by 5 units, therefore, every value of x should be +5 on the y axis, therefore, the function that will represent that every point up by 5 units of the function f(x) can be written as,
[tex]g(x) = y+ 5\\\\g(x) = f(x) + 5\\\\g(x) = {\rm log}_2x + 5[/tex]
Hence, the function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.
Learn more about Function:
https://brainly.com/question/5245372
Answer:
Its A: Translate each point of the graph of g(x) 5 units up.
Step-by-step explanation:
Add (4d+1)+(2y+9) please help
Answer: 4d + 2y + 10
Step-by-step explanation: Hoped This Helped! Thx For The Points!
The original price of a dress is $39.99. Julie buys the dress when it is on sale for 10% off its original price. Two weeks later, Mindy buys the same dress when it is now on sale for 20% off its original price.
How much more money did Julie spend than Mindy on the dress?
$ [blank] −−−−−−
Enter your answer as a number. If it is a decimal, round it to the nearest whole number, like this: 42
Answer: julie spent 4 more dollars than mindy
Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars
Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
What is off/Discount?Off/Discount is an amount that is subtracted from the regular price of an item.
The original price of dress [tex]= \$39.99[/tex]
Julie buys the dress for [tex]10\%[/tex] off at its original price.
So,
Julie buys the dress for [tex]= 39.99-(39.99*\frac{10}{100} )[/tex]
[tex]= \$35.991[/tex]
Mindy buys the same dress for [tex]20\%[/tex] off at its original price.
Mindy buys the same dress for [tex]= 39.99-(39.99*\frac{20}{100} )[/tex]
[tex]=\$31.992[/tex]
So,
Julie spend more money than Mindy on the dress [tex]=35.991-31.992[/tex]
[tex]=\$3.999[/tex]
[tex]=\$4[/tex]
Hence, we can say that Julie spend [tex]\$4[/tex] more money than Mindy on the dress.
To know more about Off/Discount click here
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#SPJ2
Wich is an equation of the line with a slope of 1/4 and a y-intercept of -2
Answer: y = 1/4x -2.
Step-by-step explanation: The formula for these types of equations is y = mx + b, where m is the slope and b is the y-intercept. The slope, in this case, is 1/4 and the y-intercept is -2. The equation of the line for this problem is y = 1/4x - 2.
Hope this helps! :)
Is the number 56,240
evenly divisible by the
number 10?
Yes or no
5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram. Use scientific notation to express the number of bacteria that would be in a sample weighing 18 grams.
if Ibacteria are measured to be in a dirt sample that weighs 1 gram, Then he sample of bacteria that would be in a sample weighing 18 grams t is mathematically given as
x=1.044×10^9
What is the sample of bacteria that would be in a sample weighing 18 grams?Question Parameter(s):
5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram.
Generally, the equation for the statement is mathematically given as
5.8×10^7=1g
x=18grams
Therefore
x=\frac{5.8×10^7*18}{1}
x=1.044×10^9
In conclusion, the sample of bacteria is
x=1.044×10^9
Read more about mass
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A swimming pool has a length of 28 feet, a width of 16 feet, and a depth of 7 feet.
How much water can the swimming pool hold?
Answer:
The pool can hold 3,136 cubic feet of water
Step-by-step explanation:
To know how much water the pool can hold, we need to find the volume of this swimming pool, because the volume is how much a container can hold.
The formula for volume is L*W*H (length times width times height)
Let's multiply!
28*16*7=3136
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(-6, -7)
explanation:
The value of y will be negative and x value shall be same.
Here the original coordinates of A: (-6, 7)
so when reflected: (-6, (-)7) = (-6, -7)
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. A ze-0.822-121 The area of the shaded region is (Round to four decimal places as needed.)
The area of the shaded region is 0.1271 (12.71%).
What is the z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given:
Mean 0 and standard deviation 1. Hence, for z=-1.14:
P(z < -1.14) = 0.1271
The area of the shaded region is 0.1271 (12.71%).
Find out more on z score at: https://brainly.com/question/25638875
prove that if∠ 1 ≅ ∠2, then ∠2 ≅ ∠3. what is m∠1?
We see that angle 1 and angle 2 are equal.
By the vertical angle theorem, the opposite (vertical) angles of two intersecting lines are congruent, we see that angle 1 and angle 3 must be equal. Since angle 1 and angle 2 are equal, then angle 2 and angle 3 are equal.
And for angle 1, it must be 90 degrees, because if it was any other angle measure, angle 1 and angle 2 could never be equal
when does it become more efficient to buy another ticket book instead of additional individual tickets
Answer:
Because it’s easier to be alone than without friends if ur a depressed emo like me