Answer:
71 adult tickets, 135 child tickets
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the number of adult and child tickets sold be a and c respectively.
[tex]\textcolor{steelblue}{\text{\textcircled{2} Form and label 2 equations}}[/tex]
Adult tickets +child tickets= total number of tickets sold
a +c= 206 -----(1)
Revenue from child tickets +revenue from adult tickets= total revenue
Revenue from child tickets
= number of child tickets sold ×cost of each ticket
= 2.65c
Revenue from adult tickets
= number of adult tickets sold ×cost of each adult ticket
= 5.70a
2.65c +5.70a= 762.45 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve by substitution}}[/tex]
From (1):
a= 206 -c -----(3)
Substitute (3) into (2):
2.65c +5.70(206 -c)= 762.45
Expand:
2.65c +1174.2 -5.70c= 762.45
Simplify:
-3.05c +1174.2= 762.45
-3.05c= 762.45 -1174.2
-3.05c= -411.75
c= -411.74 ÷(-3.05)
c= 135
Substitute c= 135 into (3):
a= 206 -135
a= 71
[tex]\textcolor{steelblue}{\text{\textcircled{4} Concluding statement}}[/tex]
Thus, 71 adult tickets and 135 child tickets were sold.
Determine whether each sequence is a geometric sequence If yes, Identify the common ratio
1. 4,12,36,108
2. 5,10,15,20
3. 120,-60,30,-15
4. -1,-4,16-64
5. 50,35,20
6. 625,125,25,5
Answer:
yes = 1 3 6
no = 2 4 5
Step-by-step explanation:
Common ratios:
1 = 3
3 = -2
6 = 5
The perimeter of a rectangle is 44 meters. Its width is 10 meters. What is the length of the rectangle
A. 10 meters
B. 12 meters
C. 14 meters
D. 34 meters
Answer:
its B because perimeter is width x2 + lenght x2 so 44=20+2x so that 2x is 24 so x/length is 12cm
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 8?
A.
It is the graph of y = x translated 8 units down.
B.
It is the graph of y = x translated 8 units up.
C.
It is the graph of y = x translated 8 units to the left.
D.
It is the graph of y = x where the slope is decreased by 8.
Answer:
Answer: B. It is the graph of y = x translated 8 units down.
Step-by-step explanation:
:)
A company maintains a fleet of vehicles that consist of both cars and trucks. The miles per gallon realized in the cars follows a normal distribution with mean of 30 and a standard deviation of 2 while the miles per gallon realized in the trucks follows a normal distribution with mean of 17 with a standard deviation of 3. Which distribution is more variable?
i. they have the same variability
ii. the mpg for the trucks
iii. the mpg for the cars
iv. there is insufficient information to answer the questions
Answer:
ii, the mpg for the trucks.
Step-by-step explanation:
A larger standard deviation means more variablilty
Which of the following would have a negative impact on determining eligiblity for a home loan? a. Earning extra income b. Moving into a different apartment c. Paying off credit card debt d. Withdrawing money from savings Please select the best answer from the choices provided A B C D.
The withdrawing money from savings would have a negative impact on determining eligibility for a home loan.
What can create a negative impact on home loans?If someone is looking for a home loan they should have money in their savings accounts. If they will withdraw the money from the saving accounts then how will they pay back their loans?
So they should not withdraw money and save as much as they can so that they can easily pay back their loans.
Thus withdrawing money from savings would have a negative impact on determining eligibility for a home loan.
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Answer:
its D withdrawing money from savings
Step-by-step explanation:
Solve the system:
3y=9-x
y=-2x-2
(__,__)?
Answer:
(-3, 4)
Step-by-step explanation:
First, substitute y=-2x-2. We have 3(-2x-2)=9-x ---> -6x-6=9-x Then isolate the x. -5x=15 Simplify, we have x=-3. Then we can input this x-value back into one of the equations. We have 3y=9--3 ---> 3y=12 ---> y=4. So the solution to this system is (-3, 4).
Find the slope of the line that passes through (2, 7) and (6,4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Step-by-step explanation:
line slope calculation formula: The difference of the second component is divided by the difference of the first component.
[tex] \frac{7 - 4}{2 - 6} = \frac{3}{ - 4} = - \frac{3}{4} = - 0.75[/tex]
Explain why Justine is correct or incorrect.
the second claim of justine is that the only angle of rotation that shows rotational symmetry is 120 degree is correct.
A rotational symmetry implies that the shape remains the same when rotated
Justine's claim is correct
How to determine the true statementThe angle of rotational symmetry is calculated as:
[tex]\theta = \frac{360}n[/tex]
Where n represents the number of sides.
From the complete question, the shape is a regular hexagon.
This means that n = 6.
So, we have:
[tex]\theta = \frac{360}6[/tex]
Divide
[tex]n = 60[/tex]
Other angles of rotational symmetry are:
[tex]n = 60, 120, 180, 240.....[/tex]
120 degrees is part of the list of possible angles of rotational symmetry.
Hence, Justine's claim is correct
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help please i dont understand
Answer:
13 cm
Step-by-step explanation:
The triangle perimeter size does not change because all the components rotate and reflect together.
These are two similar triangles.
What is the measure of y?
20
Х
N
У
8
+
y = [?]
Enter
Answer:
16
Step-by-step explanation:
2/8 = x/y (the triangles are similar)
x/y = 1/4
x + y= 1 +4=5
x+y =20
5(a)= 20
a= 4
x=a
y= 4a
so.. x= 4×1=4
y= 4×4=16
Lee purchased Tshirts for 15.50 each. The tot bill was $124. When x is the number of T shirts, which equation can be used to find the total number of Tshirts Lee purchased.
15.50=124x
15.50x=124
124=15.50/x
x/124=15.50
Answer:
The answer is 15.50x = 124
Step-by-step explanation:
We can substitute x for any number until we get to 124
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Lee purchased Tshirts for 15.50 each. The tot bill was $124. When x is the number of T shirts, which equation can be used to find the total number of Tshirts Lee purchased.
15.50=124x
15.50x=124 ✓124=15.50/x
x/124=15.50
____________________________
Let the number of T-shirts be x
then,
ATQ,
$15.50x = $124
x = $124/$15.50
x = 8
Hence , Lee purchased 8 Tshirts
_____________________________
Prism A is a dilation of Prism B. The height of Prism A is 6 1/2 ft, and the volume of Prism A is 87 3/4 ft³. The height of Prism B is 3 1/4 ft.
What is the volume of Prism B?
Enter your answer as a mixed number in simplest form by filling in the boxes.
The volume of the dilated Prism B is about 10 31/32 ft³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The height of Prism A is 6 1/2 ft, and The height of Prism B is 3 1/4 ft.
The dilation factor = 3 1/4 ft. ÷ 6 1/2 ft = 0.5
Volume is the product of three sides.
The volume of prism B = Volume of prism A * (dilation factor)³ = 87 3/4 ft³ * (0.5)³ = 10 31/32 ft³
The volume of the dilated Prism B is about 10 31/32 ft³
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Answer:
The answer is [tex]10\frac{2}{25}[/tex].
Step-by-step explanation:
Sarah described the following situation:
When one patient with a common cold takes a medicine and the other patient does not take any medicine, the person who takes medicine recovers faster than the person who does not take medicine.
Which of the following best describes the situation? (1 point)
Group of answer choices
This is an example of both correlation and causation.
This is an example of neither correlation nor causation.
This is an example of correlation.
This is an example of causation.
Answer:
5 choice, This is an example of causation.
Step-by-step explanation:
The first patient was given medicine that resulted in his recovery, but the second patient was not given medicine that resulted in his non-recovery.
Write a problem for the equation 3+ X equals eight then solve the equation and write the answer to your problem
Answer:
3+x=8
subtract 3 from both sides 3-3+x=8-3
so 3-3=0 and8-3 =5
now you have x=5
luke drives 35 mph for 5 miles. he then drives 80 mph for 30 seconds (0.0082 miles). what is his average speed?
ik the answer i just need to know how to do it
the answer is 55.56 mph
Answer:
Step-by-step explanation:
Average speed is total distance divided by total time.
The relation between time, speed, and distance is ...
time = distance/speed
Total timeThe time to travel 5 mi at 35 mi/h is ...
time = (5 mi)/(35 mi/h) = 1/7 h
30 seconds is (30 s)/(3600 s/h) = 1/120 h, so the total time for this trip is ...
1/7 +1/120 = (120 +7)/840 = 127/840 hours
Total distanceAt 80 mph, the distance traveled in 1/120 hour is ...
distance = speed × time = (80 mi/h)(120 h) = 2/3 mi
So, the total distance traveled is ...
(5 mi) +(2/3 mi) = 17/3 mi
Average speedThe average speed is then ...
speed = distance/time
speed = (17/3 mi)/(127/840 h) = 17·840/(3·127) mi/h = 37 61/127 mi/h
The average speed is about 37.48 miles per hour.
_____
Additional comment
In order for the average speed to be 55.56 mph, the time spent at 80 mph would need to be about 7 minutes 12.6 seconds, for a distance at 80 mph of about 9.61 mi.
Let's find 2/3 + 1/5
first write the addition with a common denominator.
then add
2/3 + 1/5 =
Step-by-step explanation:
2/3 + 1/5= 2/15 + 1/15 =3/15 or 1/3
answer: 3/15 or 1/3
How many solutions are there to this nonlinear system?
10
A. One solution
5
B. No solutions
C. Two solutions
X
-10
-5
5
10
-5
-10
Answer:
c ,two solutions
Step-by-step explanation:
I think I might be right
There no solution to this nonlinear system.
The correct option is B.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We know that the solution of the graph can be seen by x axis touching.
The number of points the curve touches the x axis, there are that number of solution for the curve.
Here the curve touches the x axis only at 0 point.
Thus, the solution of the Equation is No solution.
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Write an equation of the line passing through the points (4,6) and (-2, - 18).
Answer:
y = 4x – 10
Step-by-step explanation:
slope formula: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
point-slope formula: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
Use slope formula and plug in your numbers: [tex]m = \frac{-18-6}{-2-4 }[/tex]Solve for slope [tex]m = 4[/tex]Use the point-slope formula to solve for the equation: [tex]y-6=4\left(x-4\right)[/tex]Solve and find equation: [tex]y=4x-10[/tex]Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!
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Rewrite using the distributive property.
Answer:
10t is the correct answer
Hiep's yard is in the shape of a trapezoid. The lengths of the parallel sides of the trapezoid are 15 feet and 21 feet. The height of the trapezoid is 8 feet. What is the area of Hiep's yard? Enter your answer in the box. ft2
Answer:
144 ft squared
Step-by-step explanation:
Answer:
The answer is: 144 ft squared.
Step-by-step explanation:
Just got done with the (K12) quiz and this was right.
What is (3. 1 times 10 Superscript 5 Baseline) (2. 2 times 10 Superscript 7 Baseline) in scientific notation? 5. 5 times 10 Superscript 12 6. 82 times 10 Superscript 12 5. 5 times 10 Superscript 35 6. 82 times 10 Superscript 35.
The sum of the numbers expressed in scientific notations is given by: Option B: [tex]6.82 \times 10^{12}[/tex]
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.The given expression is:
[tex](3.1 \times 10^5) \times (2.2 \times 10^7)[/tex]
Evaluating the multiplication, we get:
[tex]3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}[/tex]
It is because of exponent rule that [tex]a^b \times a^c = a^{b+c}[/tex], and because of commutative property of addition.
Thus, the sum of the numbers expressed in scientific notations is given by: Option B: [tex]6.82 \times 10^{12}[/tex]
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suppose y=2x-16 and y=x+2. what is the value of x?
Step-by-step explanation:
Set two equations equal to each other
2x -16 = x+2
x = 18
Answer:
18
Step-by-step explanation:
Make the two equations to each other by subbing out the y
2x - 16 = x + 2
Move the like terms to one side
Subtract x from both sides
2x - 16 = x + 2
-x -x
x - 16 = 2
Add 16 to both sides
x - 16 = 2
+ 16 + 16
x = 18
X will have to be 18 for these equations to be true.
Helpppppp ppppppp me
Answer:
Volume= 117 cm³, hope that helped
What is the result of
3-
5?
0
2
8
1
5
5
Answer:
-2 I guess, your question is poorly formatted
Step-by-step explanation:
3-5= -2
Justin wants to buy a new pair of jeans. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will Justin have to pay for the jeans?
Answer:
$35.00
Step-by-step explanation:
Step 1: Multiply 30 by 50.
30 × 50 = 1500Step 2: Divide 1500 by 100.
1500 ÷ 100 = 15Step 3: Subtract 15 from 50.
50 - 15 = $35.00Answer:
35 dollars.
Step-by-step explanation:
The easiest way of calculating discount is, in this case to multiply the normal price is $50 by 30 then divide it by 100. So, the discount is equal to $15. To calculate the sales price, simply deduct the discount of $15 from the original price $50 then get $35 as the sales price.
please help find the Volume of the sphere
Answer:
radius =8.2m
volume=4/3×22/7r×r×r
=4/3×22/7×8.2×8.2×8.2
=2309.56m
how many natural numbers less than 50 have exactly 4 positive factors?
Options:
a) 13
b) 15
c) 17
d) 11
Answer:
15
Step-by-step explanation:
We will use the Tao function for our use. If there are 4 factors of a number then Tao function has a value of 4.
According to the Tao function, (a1 + 1)(a2 + 1).....(an + 1) = 4. So, by comparison We have two cases.
Case 1: a1 + 1 = 4
So, in that case a1 = 3 and we see there are two cubes less than 50.
Case 2: a1 + 1 = 2, a2 + 1 = 2
So, a1 = 1 and a2 = 1. Thus, it's a pure multiple of linear primes. And we notice there are 13 such numbers.
What is the value of x to the nearest tenth16. 3,6. 8,8. 6
Answer:
x = 73.4879
Step-by-step explanation:
Find the measures of the interior angles of the triangle. Find A, B, C
Step-by-step explanation:
I am not sure what you mean by A, B, and C.
the picture does not name the corners or vertices.
but is seemingly asks for the angle x.
remember, the sum of all angles in any triangle is always 180°.
and the sum of all angles around one point on one side of a line is also 180° (as the line cuts a virtual circle in half with its center being the point around which the angles rotate).
when we know all angles except for one, we call the missing angle a supplementary angle (fills up to 180°).
if the angle fills up to 90°, we call that a complementary angle.
so, now look at the triangle. we know 2 angles : the right angle (90°) and the 38° angle.
so, the third angle down left must be
180 - 90 - 38 = 52°
and x is the supplementary angle to 52° :
x = 180 - 52 = 128°
will give brainliest need help asap! pls :)
Answer:
0.0001t^3-0.016t^2+0.21t+7.4
Step-by-step explanation:
I just added the equations for F and M together.