Answer:
Number of adult tickets sold= 100
Step-by-step explanation:
Giving the following information:
Adults tickets= $15
Student tickets= $10
Number of tickets sold= 150
Total sales= $2,000
First, we determine the systems of equations:
15*x + 10*y= 2,000
x + y = 150
x= number of adults tickets sold
y= number of students tickets sold
Now, we isolate x in one equation, and substitute it in the other one:
x= 150 - y
15*(150 - y) + 10y = 2,000
2,250 - 15y + 10y = 2,000
250 = 5y
50= y
x= 150 - 50
x= 100
Prove:
15*100 + 10*50= 2,000
100 + 50 = 150
An isosceles triangle has angle measures 40, 40, and 100. The side across from the 100 angle is 10 inches long. How long are the other sides?
A. 6.43 inches
B. 15.32 inches
C. 6.53 inches
D. 10 inches
Answer:
the answer is C- 6.53 inches
Step-by-step explanation:
What is the length of the line segments with endpoints (-9,5) and (12,5)
A. 12
B. 9
C. 21
D. 10
Answer:
The answer is C
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°
ANWSER
JK=104°
KIJ=52
Answer:
JK=104°
KIJ=52
Step-by-step explanation:
The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and ∠KIJ = 52°
What is the measure of the angles?
We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.
Angle KJI = arc KI/ 2
Thus;
Angle KJI = 116°/2
Angle KJI = 58°
Now by angle sum property of a triangle, we get:
∠ K + ∠ I + ∠ J = 180°
70° + ∠I + 58° = 180°
∠I = 52°
By using intercept formula, we get arc KJ;
∠JIK = arc JK/ 2
2(∠ JIK) = arc JK
2(52°) = arc JK
arc JK = 104°
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Victor is making lemonade. His first recipe calls for 2 cups of water and the juice from 12 lemons. His second recipe says he will need 3 cups of water and the juice from 15 lemons. Use ratio tables to determine which lemonade recipe calls for more lemons compared to water.
A. recipe 2
B. recipe 1
Answer:
B. recipe 1
Step-by-step explanation:
Answer:
wow pretty cool my class is learning from this
Step-by-step explanation:
12: 2 for A
5:3 for B
Kim's new printer can print 480 pages in 6 hours. In pages per hour, what is the printing rate of Kim's new printer?
Answer:
80 pgs per hour
Step-by-step explanation:
480 divided by 6 = 80
What number is 16% of 46
Answer: 7.36
Step-by-step explanation:
16/100 = 0.16
0.16 * 46 = 7.36
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
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Find the largest side of △STU, given that m∠T=98°, m∠S=30°, and m∠U=52°.
geometry work
=======================================================
Explanation
Rule: The longest side of any triangle is always opposite the largest angle.
Angle T = 98 is the largest angle, so the longest side is SU since it is opposite angle T.
Refer to the diagram below.
A large measuring cup can hold 2.5 pints of liquid. If 1 pint equals 473.2 milliliters, how many milliliters of liquid can the cup hold?
(EASY) Which best describes the relationship between the lines?
20 POINTS!!!
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table.
A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let U be the event that the participant’s first motor vehicle was an SUV. What is the value of P(FC and U)?
0.09
0.10
0.11
0.22
It’s 00.9
Step-by-step explanation: I just took the test I know
Answer:
B. 0.10
Step-by-step explanation:
i think
what is v
v−5/6=−7/8
Answer:
here,
v-5/6=-7/8
v=-7/8+5/6
v= -1/24
The ratio of boys to girls in a choir is
3 to 8. There are 32 girls in the choir. How many
members are in the choir?
Answer:
there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12
Step-by-step explanation:
Answer:
44 members
Step-by-step explanation:
Because to find out the number of members first you have to find out the number of boys in choir
Divide total number of girls (32) by ratio number (8) and you get 4
Multiply the 4 you got by the ratio of boys (3), you get 12 when you multiply these together
Add the total number of boys in choir (12) and number of girls (32) and you get 44 members!
Good day to you and I hope you like my explination.
The value of a ratio
Answer:
Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.
Step-by-step explanation:
For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
Each tire on a toy car has a diameter of 5.6 cm. the tires spun completely around 15 times when the car was pushed in a straight line.about how far was the car pushed
Answer:
I believe the answer is 84 centimeters.
Step-by-step explanation:
If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
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help me please i’m suck on this one!!
Answer:
B
Step-by-step explanation:
Bc dont take my word repost this
Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
what is the common ratio for the geometric sequence 32,8,2,1/2?
The answer you will be dividing by is 4. hope this helps
Jara estimated her new shoes would cost $475. They actually costed $300 actually attended. What is the relative error?
Answer:
hbrfhjbwfjbrh
Step-by-step explanation:
ewjhfwh
Answer:
b
Step-by-step explanation:
resuelve los siguientes sistemas de ecuaciones lineales utilizando el método de igualación
SI ME AYUDAN CON UNA CAPTURA PORFA !
Answer:
A
Step-by-step explanation:
The solution is solved using Equalization methods. Hence the answer to A is such that y= -2 and x = 12
What is the Equalization method?The Equalization method refers to a method whereby a quantity that is unknown in two equations is isolated and equated.
The solution to equation one is thus given below:
[tex]\{ \mathrm{}_{x + 3y = 6}^{2x + 5y = 16}[/tex]
Step I - Isolate any two variables.
In this case, we will isolate x. Hence we will have:
2x + 5y = 16 → x = (16 - 5y)/2 .............................1
x + 3y = 6 → x = (7 - 3y) .............................2
From 1 and 2 above, we can see that both equations are now equal to x, Using the principle of transitivity, we can state that:
Since both formulas are now equal to x, therefore:
(16 - 5y)/2 = (7 - 3y)...............................3
Simplifying and collecting like terms from 3 above, we now have:
(16 - 5y) = 2(7 - 3y)
that is 16 - 5y = 14-6y
This will give us:
6y-5y= 14-16
y = -2
Step II - Substitute Y into any of the original equations to get x.
Recall that we have x + 3y = 6
Therefore, x = 6-3y
That is x = 6-3(-2)
x = 6 + 6 = 12
Hence, for Equation A, x = 12; y = -2
Equation B:
Using the same method, we arrive at: x =45; and y = -3
Equation C:
Using the same method, we arrive at: x = 2; and y = 0
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Find the measure of angle A.
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
If possible, complete the equation below that uses the law of cosines to find the remaining side of the triangle.
Answer:
Option C.
a = 20.3
Step-by-step explanation:
Given:
m<A = 32°
a = ??
b = 16
c = 32
Required:
Find a
SOLUTION;
To find the missing side, a, of the triangle, apply the Law of Cosines, [tex] a^2 = b^2 + c^2 - 2bcCosA [/tex]
Plug in the values into the equation:
[tex] a^2 = 16^2 + 32^2 - 2(16)(32)Cos32 [/tex]
[tex] a^2 = 1,280 - 1,024*Cos32 [/tex]
[tex] a^2 = 1,280 - 868.40125 [/tex]
[tex] a^2 = 411.59875 [/tex]
[tex] a = \sqrt{411.59875} [/tex]
[tex] a = 20.3 [/tex] (nearest tenth)
Can somebody help me I’m in 2nd grade thank you.
It would be 6 I think
9965 divided by 19.9 estimate
Answer: 500.7
500.75 = 500.7
Step-by-step explanation:
The estimated value is 500
What is estimation?Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').
Given that, 9965 divided by 19.9 estimate
Let 9965 ≈ 9970
19.9 ≈ 20
9970 ÷ 20
9970 / 20
= 498.5
≈ 500
Hence, the estimated value is 500.
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Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.
Answer: The answer is 207.4 for the interest
Step-by-step explanation:
766.85 - 559.45= 207.4
The answer 207.4 is the amount of interest on Thayne's credit card bill.
How to solveWe can find this answer by subtracting the amount of charges from the total bill amount.
Total bill amount = $766.85
Amount of charges = $1118.9
Amount of interest = $766.85 - $1118.9 = $207.4
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Please help this is very important please
Answer:
Well, I've got the first 3, but I don't think those were the ones you needed help with...
1) (3, 35), (4, 30), (5, 25)
2) (1, 27), (5, 32), (9, 37)
3) (24, 25), (17, 19) (-11, -5), (-18, -11)
Step-by-step explanation:
1) x+1, y-5
2) x+4, y+5
3) x-7, y-6
Please Respond ASAP!!!!!
Solve the equation. w+1/1/4 = 6
Answer:
w = 23/4
Step-by-step explanation:
w + 1/4 = 6
w = 6 - 1/4
w = 23/4
The first 5 terms of a sequence are shown below:
3, -2, -7, -12, -17
Which expression can be used to find the nth term?
Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =
[tex]T_2-T_1 \\ - 2 - 3 \\ = - 5[/tex]
Common ratio =
[tex]T_2/T_1 \\ \frac{ - 2}{3} [/tex]
The common difference applies to the other given numbers for example :
[tex]T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5[/tex]
this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference