Answer:
adult tickets are $8 and student tickets are $14
Step-by-step explanation:
to find the price of adult and student tickets, first look at all the given values:
a = adult tickets
s = student tickets
so: 4a + 5s = 102
and : 7a + 5s = 126
since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:
126-102 = 24
there are 3 more adult tickets in the equation with a total of 126, therefore:
24 / 3 = 8
that means each adult ticket is work 8 dollars.
now substitute this value:
4(8) + 5s = 102
32 + 5s = 102
you can solve this by concluding that 102- 32 is 70
that means 5(s) has to equal 70
so 70 / 5 = s
70/5 = 14
so the value of s = 14 and the value of a = 8
In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?
Answer: 60 kids, 180 adults
Step-by-step explanation:
Let x be the number of children and y be the number of adults eating.
If they have 240 people eating then x+y=240.
If they have to fundraise 1200 then 2x+6y=1200.
Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.
Hope that helped,
-sirswagger21
The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c
Answer:
b y=1.5x+20
Step-by-step explanation:
JUST DID IT ON ENDGE 2021
The equation for Wild Dogs program is y = 20 + 1.5x.
What are Linear Equations in Two Variables?The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Given membership program for Wild Dogs and the Rattlers,
for Wild Dogs,
initial fee = $20
ticket price per game = $1.50
for Rattlers
initial fee = $14
ticket price per game = $2.25
linear equation for Wild Dogs program,
Let x represent the number of games and y the total
y = 20 + 1.5x
for Rattlers
y = 14 + 2.25x
Hence the equation for Wild Dogs program, is y = 20 + 1.5x.
Learn more about Linear Equations in Two Variables;
https://brainly.com/question/24085666
#SPJ5
An angle measures 32° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
Step-by-step explanation:
x+x-32=180
2x-32=180
2x=180+32
2x=212
x=106
x-32=>106-32=74
it’s two multi choice questions please help
Answer:
see below
Step-by-step explanation:
a) They could be congruent because having the same angles doesn't necessarily mean that they are congruent.
b) These triangles are congruent by ASA because using the sum of angles in a triangle they have the same angles and one congruent side.
Answer:
a) F
b) C
Step-by-step explanation:
Brainliest please?
For a) it only tells you all the angles, which makes them similar triangles, but none of the sides are given, so it cannot be determined whether they are congruent.
For b) it is not to scale and using a little subtraction, you can quickly use the fact that there are 180 degrees in a triangle, you can determine that the 2 triangles have the same angles, with the side with 9.2 cm between 58 and 68 degree vertices on both triangles, making the 2 triangles congruent by ASA.
QED
Mrs. Schroeder, a school principal, drove her own car for a class trip, taking a different route. The principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip. How many miles did the principal drive? ____miles
Answer: 384 miles
Step-by-step explanation:
From the question, Mrs. Schroeder, a school principal, drove her own car for a class trip, by taking a different route and we are told that the principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip.
Since it used 1 gallon of gas for 32 miles, 12 gallons will be for:
= 32miles × 12
= 384 miles
The principal drove for 384 miles.
Help me please........
Answer:
A
Step-by-step explanation:
By the Pythagorean Theorem, you know that:
[tex]2^2+5^2=c^2[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Answer: choice A
Step-by-step explanation:
Based on the pythagorean theorem which states
[tex]a^{2} +b^{2} =c^{2}[/tex]
c being the hypotenuse
so 2^2+5^2=c^2
and c would equal [tex]\sqrt{29}[/tex]
I’ll mark you brainliest help!!! Which function is increasing?
Answer:
the answer is D. have a nice day :)
Picture attachment is below
Answer:
0.04
Step-by-step explanation:
Answer:0.04
Step-by-step explanation:4/100
Suppose a group of 24 people bought tickets to the American Kennel Club Museum of the Dog. Tickets cost $15 each for adults, $10 each for students, and $5 each for children under age 12. There were twice as many adults as children under age 12. If the total cost of the tickets was $260, how many tickets were purchased for children under age 12? *
Answer: 50
Step-by-step explanation:
How many triangles can be formed
Answer:
2
Step-by-step explanation:
2
Find the y-intercept of the following equation. Simplify your answer.
y = 4x + 4
y-intercept
Answer:
The slope is 4 and the y intercept is 4
(0,4)
Step-by-step explanation:
The equation is in the form
y = mx+b where m is the slope and b is the y intercept
y = 4x+4
The slope is 4 and the y intercept is 4
(0,4)
Can someone please help me :(
Answer:
Step-by-step explanation:
ok its AAS because if you see the most aperent thing on the trangle is that
Answer:
AAS
Step-by-step explanation:
The two triangles are congruent because they have two equal angles and one side
Elsa sold 37 pairs of earrings for $20 each at the craft fair. She is going to use 1/4 of the money to buy new CDs and is going to put the rest of the money in her savings account. How much money will she put in her savings account?
Let “s” stand for he amount of money saved
1. Equation:
2. How much money did she spend on CDs?
3. How much money did she out in her savings account?
Answer:
185 -> Spent on new CD's
$ 555 -> Savings Account
Steps:
37*20 = 740/4 = 185 -> Spent on new CD's
740 - 185 = $ 555 -> Savings Account
Description:
The 2 question is asking that how much money did she spend on her CD. We times 37 and 20 = that will equal 740 then we divide 740 by 4 = 185. Meaning we just solved for question 2. Answer is 185 spent on new CD.
For question 3 this time we get 740 again we do it by 37 times 20 equal 740. we minus it by 185 the spent on new CD answer. so 740-185= $555. So answer for question 3 is $555 to her saving account.
Please mark brainliest
Hope this helps.
What are the domain and range of this graph
Answer:
As shown in picture, the graph starts from 0 and goes to + infinity.
=> Domain: [0, + infinity)
=> Range: [0, + infinity)
Hope this helps!
:)
i need to solve this wink wink 5-6+8*674/2
Answer: 2,695
Step-by-step explanation:
5-6+8*674/2
Multiply 8 and 674
5-6+5,392/2
Divide 5,392 by 2
5-6 + 2,696
Subtract 6 from 5
-1 + 2,696
Add
2,695
Step-by-step explanation:
5 - 6 = -1
-1 + 8 = 7
7 x 674 = 4,718
4,718 / 2 = 2,359
What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? (1 point) Select one: a. 0 b. 5 c. 10 d. 15
Answer: C. / 10
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given a polynomial divided by a factor (x + h) then the remainder is f(- h)
Given
f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 19 divided by (x + 2)
To find remainder evaluate f(- 2)
f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 19
= 3(16) + 2(- 8) - 4 - 4 - 19
= 48 - 16 - 4 - 4 - 19
= 5 → B
select all that are equal to 5^3*5^-7
a. 1/5^-4
b. 1/5^4
c. 5^-4
d. 5^4
e. 1/-625
Answer:
5^3*5^-7 = 1/5^4 b. is true = 625
5^3*5^-7 = 5^-4 c. is true = 625
Step-by-step explanation:
b. Left hand side
Simplify the following:
5^3/5^7
Combine powers. 5^3/5^7 = 5^(3 - 7):
5^(3 - 7)
3 - 7 = -4:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Right hand side:
Simplify the following:
1/5^4
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
_____________________________
c. Left hand side (see above)
Right hand side:
Simplify the following:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Answer:
The answers are B and C. The other person is wrong.
Step-by-step explanation:
Jonathan bought a table and some chairs and a furniture store. The equation that models the situation is Y equals 25X +80, where why is the amount of money he spends and X is the number of chairs he bought. What does the Y intercept mean in the situation?
Answer:
Step-by-step explanation:
The equation modeling the situation is ;
y = 25x + 80
We want to know what the y-intercept mean in this question
Mathematically, the equation of a straight line is ;
y = mx + c
where c is the y intercept and m is the slope
What we should understand is that at the y intercept which is 80 here, the value of x is 0
Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80
Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables
HELPPPP ME PLZZZZ!!!!!!
14. Each leg is [tex]21\sqrt{2}[/tex] units long.
15 (a). The longer leg is [tex]7\sqrt{3}[/tex] units long
15 (b). The hypotenuse is [tex]14[/tex] units long
=====================================================
Explanations:
For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say
[tex]y = x\sqrt{2}[/tex] where x is the leg and y is the hypotenuse
Let's solve for x
[tex]y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\[/tex]
Now plug in the given hypotenuse y = 42, this leads to,
[tex]x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\[/tex]
---------------------------
For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.
The longer leg is equal to sqrt(3) times the short leg. The longer leg is [tex]7\sqrt{3}[/tex]
Determine the exact value of sin 0
Answer:
36.87°
Step-by-step explanation:
[tex] \sin \theta = \frac{3}{5} \\ \\ \sin \theta = 0.6 \\ \\ \theta = {sin}^{ - 1} (0.6) \\ \\ \theta = 36.869897646 \degree \\ \\ \theta = 36.87 \degree[/tex]
Find the next three terms in the geometric sequence: 72, 36, 18,... (sorry for bothering a lot)
Answer:
18 / 2 = 9
9 / 2 = 4.5
4.5 / 2 = 2.25
The next three terms are 9,4.5,2.25
Hope this helps
Step-by-step explanation:
Pls help me. I need this done ASAP thank you :)
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
So she has 14 shirts in all. There are 10 colored shirts.
[tex]\frac{10}{14} =\frac{5}{7}[/tex]
answer 5 /7
hi there are fourteen shirts and the more shirts the less of a possiblility
Step-by-step explanation:
if you want a percentage its 7.14 %
i hope i helped if you need help with any thing else please tell me :)
please mark as brainliest
Evaluate and Solve 6x + 4 > 7
Answer:
x>1/2
Step-by-step explanation:
6x>3
x>1/2
Answer:
X>1/2
Step-by-step explanation:
6x + 4> 7
-4 on each side
6x > 3
Divide 6 on each side
X>1/2
Hope this helps plz mark brainliest!
Find the slope of the line that passes through (5, 9) and (2, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
bdudbrksowodndiwnsonsuendumdjdndoamslals
The right answer is 7/3
hope it helps
Good luck on your assignment
A bag contains 2 red, 5 blue, and 2 white marbles. Find the probability of randomly picking a red marble, keeping the marble, and then picking a blue marble.
A) 7/8
B) 10/81
C) 5/36
D) 1/9
Answer:
5/36
Step-by-step explanation:
There are 9 marbles in the bag
P( red) = number of red / total
= 2/9
Keep the marble
1 red, 5 blue, and 2 white = 8 marbles
P( blue) = number of blue / total
= 5/8
P(red, keep,blue) = 2/9 * 5/8 = 10/72 = 5/36
Which of the following equations have infinitely many solutions? Choose all answers that apply:
Answer:
Options B, C and D.
Step-by-step explanation:
Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;
-19x -19 = -19x-19
Add 19 to both sides of the equation to get rid of -19
-19x -19 +19 =-19x -19 +19
Divide both sides by -19
[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]
x = x
John would like to go on a ski trip with his friends. In order to go on the trip, John needs to save more
than $350 dollars. Write an inequality that describes, M, the money that John needs to save.
Answer:
$350 < M
Step-by-step explanation:
2) solve for h: a = 1/2 bh
(area of triangle)
Answer:
h = 2a/b
Step-by-step explanation:
a = 1/2 bh
2*a = 2* 1/2 bh
2a = bh
2a/b = bh/b
2a/b = h
Which equation is equivalent to 4 x = t + 2
Answer:
Its supposed to be x = s
like its in the picture
So we divide both sides by 4
we get t+2 / 4
That means the answer is C
Answer:
the correct answer for this question is c. s= t+2/4
source. edge.
Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2).
Hey there! :)
Answer:
f(-2) = -148.
Step-by-step explanation:
To calculate f(-2), simplify substitute -2 for x in the equation. Therefore:
f(x) = 4x³ -12x² + 40x + 12
Becomes:
f(-2) = 4(-2)³ - 12(-2)² + 40(-2) + 12
Simplify:
f(-2) = 4(-8) - 12(4) - 80 + 12
f(-2) = -32 - 48 -80 + 12
Finally, you get:
f(-2) = -148.
