Answers
Answer:
Adult's ticket is 7, child's ticket is 2
Step-by-step explanation:
Let adult's ticket be "x" and child's ticket be "y"
So, for family 1, the equation would be: 2x+3y=20
And, for family 2, the equation would be: 1x+4y=15
Use the substitution method in the second equation to know what x in terms of y is:
x + 4y = 15 (substact 4y from both sides)
x= 15 - 4y
Plugin y into the first equation:
2(15-4y)+3y=20 (distribute)
30-8y+3y=20 (simplify)
30-5y = 20 (get y by itself)
-5y = -10 (divide by -5)
y = 2
Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):
1x+4(2) = 15 (simplify)
x + 8 = 15 (subtract 8)
x = 7
Answer:
price of adult ticket=7 £
price of childrens' ticket =2 £
Step-by-step explanation:
let x be price for adult and y price for for children
family 1 : 2x+3y=20
family 2: x+4y=15
solve by eliminating : multiply equation 2 by (2) to eliminate x
2x+3y=20
2x+8y=30
subtract the two equations:
2x+3y-2x-8y=20-30
-5y=-10
y=-10/-5
y=2( the price for children)
x+4y=15
x+4(2)=15
x=15-8
x=7 ( the price for adults)
check : 2x+3y=20
2(7)+3(2)=14+6=20
Related Questions
4a4 − 2b2 + 40 when a = 2 and b = 7.
Answers
Answer:
44
Step-by-step explanation:
4(2)4 - 2(7)2 + 40
32 - 28 + 40
44
Answer: 6
Step-by-step explanation:
4a^4-2b^2+40, given a=2 and b=7
4a^4-2b^2+40
=4(2)^4-2(7)^2+40
=4(16)-2(49)+40
=64-98+40
=-34+40
=6
Hope this helps!! :)
Please let me know if you have any question
Evaluate p/2-5 when p=14
Answers
Answer:
[tex] - 4.67[/tex]
Step-by-step explanation:
[tex] \frac{p}{2 - 5} = \frac{14}{2 - 5} = \frac{14}{ - 3} = - 4.67[/tex]
Henrique began to solve a system of linear equations using the linear combination method. His work is shown below Complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x. What is the solution to the system?
Answers
Complete question is;
Henrique began to solve a system of linear equations using the linear combination method. his work is shown below
1. 3 (4x-7y=28) -> 12x-21y=84
-2 (6x-5y=31) -> -12x 10y =62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equation s to find the value of x. what is the solution to the system
Answer:
x = 3.5
Step-by-step explanation:
We are given;
1. 3(4x - 7y = 28) -> 12x - 21y = 84
-2(6x - 5y = 31) -> -12x + 10y = 62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
Since y = - 2, let's put -2 for y into the equation; 12x - 21y = 84
This gives;
12x - 21(-2) = 84
This gives;
12x + 42 = 84
12x = 84 - 42
12x = 42
x = 42/12
x = 3.5
How can you plot a point using its (x,y) coordinates?
Answers
Answer:
each
Step-by-step explanation:
3, 7, 11, 15, 19, 23, ...
what’s the next number in the pattern then explain how you got the answer
Answers
Answer:
27
Step-by-step explanation:
if you add 4 to 3 you get 7 and if you add 4 to 7 you get 11 so keep adding 4 to all the numbers and you will get the next number.
Answer:
The pattern is going by 4 so your next number would be 27
Step-by-step explanation:
Count from 3 to reach 7 then you get 4 same goes for the rest of the numbers so if you count 4 more of 23 you get 27
Hope that answered ur question
A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?
a. 2.234 in
C. 1.369 in
b. 3.784 in
d. 2.758 in
Answers
Answer:
a: 2.234
Step-by-step explanation:
i checked after i took the test. its right, enjoy
The size of the square cut from each corner will be 1.369 inches. The correct option is C.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that a box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps.
The size of the square cut from each corner will be calculated as,
Volume = L x H x W
1000 = 22 x 30 x H
H = ( 1000 ) / ( 660 )
H = 1.538 or 1.369 inches
Therefore, the size will be 1.369 inches.
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Where can you put parenthese so that the answer is correct 28-24/4•2=25
Answers
Answer:
This really is about trial and error
28-24/(4*2)=25
Step-by-step explanation:
If you do this correctly, the numbers you'll get are 28-3 = 25!
Hope this helps!! :)
Answer:
I think this is the answer
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?
Answers
The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
What is binomial distribution?A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.
Given, Ankit makes 74% of the free throws.
Using binomial distribution we have:
[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]
For k = 3 we have:
[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]
P(X=3) ≈ 0.405
Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
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If f(x) = x-5 and g(x) = 3x2-1,
what is (fºg)(x)?
Answers
Answer:
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Step-by-step explanation:
f(x) = x - 5
g(x) = 3x² - 1
To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
[tex](f\circ \: g)(x) = 3 {x}^{2} -1 - 5 [/tex]We have the final answer as
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Hope this helps you
Hailey signed up for a streaming music service that costs $14 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Hailey have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded ss songs?
Answers
Answer:
The total is: 74$
Step-by-step explanation:
1.50$ times 40 equals 60. Then you have to add up the cost you usually get per month which is 14$. 60 plus 14$ = 74$
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total money to pay in a month in which she downloaded 40 songs is $74.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost per month for streaming music = $14
Cost per song for download = $1.50
Total cost for downloading 40 songs.
= 40 x 1.50
= $60
The total cost for the month.
= Monthly charges + Cost of downloading 40 songs
= $14 + $60
= $74
Thus,
The total money to pay in a month in which she downloaded 40 songs is $74.
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Help please I am confused inverse variation problem
Answers
Answer:
y =2
Step-by-step explanation:
Inverse variation is of the form
xy = k
3*6 = k
18 = k
xy = 18
Now when x = 9, find y
9*y = 18
Divide by 9
y = 18/9
y =2
When x =9, y =2
Answer:
y = 2
Step-by-step explanation:
y = 6 ⇔ x= 3
y = ? ⇔ x = 9
y = 6*3/9
y = 2
How do i solve 6(2-4y) +4(6y-2)<4(y+4)
Answers
[tex]6(2-4y) +4(6y-2)<4(y+4)[/tex] (distribute)
[tex]12-24y+24y-8<4y+16[/tex] (collect like-terms)
[tex]12-8<4y+16\\4<4y+16\\-4y<16-4\\-4y<12\\y>\frac{12}{-4}[/tex] (we flipped the sign because we divided by a negative)
[tex]y>-3[/tex]
at the science school, there is one microscope for every 5 students. The principal figures that in order to have one for every 4 students, she needs 6 additional microscopes. How many students are at the school?
Answers
Explanation:
Let x be the number of scopes
Let a be the number of student at school
1x = 5 students
But 5x = a
1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.
=> (x + 6) = 4 students
=> 4(x + 6) = a
Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24
So, there are 24 scopes.
Plug x in both equation and compare:
5x = a
5(24) = a
120 = a
4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a
Therefore, the students at the school are 120
(-12)^9 negative or positive
Answers
Hope you learned something :)
*PLEASE ANSWER ASAP* Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. What is the probability that Taylor will win the game?
Answers
Answer:
D
Step-by-step explanation:
So, one friend rolled a 1 and the other rolled a 3. Taylor needs to roll a number higher than both friends in order to win.
So, the possible numbers Taylor can roll to win are 4, 5, or 6.
Out of the six possible choices, 4, 5, and 6 is takes up 3. Thus, the chances of Taylor winning is:
[tex]3/6=50\%[/tex]
The answer is D.
What’s the answer to this question?
Answers
Answer:
report that dude the answer is:
-7.75
Step-by-step explanation:
(1/2)^2 - 6(2 - 2/3)
First we get rid of the exponent 2 by muliplying the (1/2) two times.
(1/2)×(1/2) = 1/4
Now we have:
1/4 - 6(2 - 2/3)
Now we solve the equation in the other paraenthesis:
(2 - 2/3) = 1 1/3
Now we plug it back in:
1/4 - 6(1 1/3)
Now we mulitply the 6 with the fraction 1 1/3 in the paraenthesis:
6(1 1/3) = 8
Now we plug it back in:
1/4 - 8
Now finally solve this fraction:
-7.75
Tamara earns $15 an hour at her job working 30 hours per week. If her net pay is 72% of her paycheck and she has no other sources of income, what is Tamara’s monthly cash inflow? (Assume there are 4 pays per month )
Answers
Answer:
126
Step-by-step explanat
(30)(15) - (72%)
Answer:
$1296
Step-by-step explanation:
paycheck in 1 month: $15/hour * 30 hours/week * 4 weeks/month = $1800/month
net pay = 72% of paycheck in 1 month = 72% of $1800 =
= 0.72 * $1800 = $1296
Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) y = 3x + 2 y = 3x + 8 y = −3x − 2 y = −3x + 8
Answers
Answer:
work shown and pictured
Miss K wants to get Portillos with 5 of her teacher
friends. She decides to split a pizza and 6 drinks. If the
pizza cost $11.50, and they spend a total of $18.50,
how much does one drink cost?
Show ALL work in this box!
Answers
Answer: $1.17 per drink
Step-by-step explanation:
Let x=the cost of one drink
11.5+6x=18.5
subtract 11.5 on both sides
11.5+6x-11.5=18.5-11.5
6x=7
Divide 6 on both sides
6/6 x=7/6
x=7/6
7/6≈$1.17
Hope this helps!! :)
Please let me know if you have any question
indeed some help me plz
Answers
Answer:
3
Step-by-step explanation:
15-2x=3x
or,3x+2x=15
or,5x=15
or,x=15/5
Therefore, x=3.
What is the solution to this system of equations?
x+y=7
x=y+3
(i’ve never understood ones like this so please help!!)
Answers
Answer:
x=5 and y=2
Step-by-step explanation:
[tex]x=y+3\\x=2+3\\x=5[/tex] [tex]x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2[/tex]
The solution of the system, x + y = 7, x = y + 3 is x = 5 and y = 2.
What is the equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
Given:
x + y = 7
x = y + 3
Write both equations as shown below,
x = -y + 7
x = y + 3
Add both equations,
x + x = -y + y + 7 + 3
2x = 10
x = 5,
5 = y + 3
y = 5 - 3
y = 2
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is -12, -10, -8, and -6 linear, exponential or neither
Answers
Answer:
Linear
Step-by-step explanation:
It goes up by 2 each time, so it would be linear.
The perimeter of a right triangle is 25 meters and the area is 20 square meters. The length of the sides are each multipled by 3. What is the are of the new triangle
Answers
Answer:
The area of the new triangle is 180 m²
Step-by-step explanation:
let the height of the triangle = h
let the base of the triangle = b
The area of right triangle is given by;
A = ¹/₂bh
20 = ¹/₂bh
If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;
A= ¹/₂(3b)(3h)
A = ¹/₂(9) (bh)
A = 9(¹/₂bh)
A = 9(20)
A = 180 m²
Therefore, the area of the new triangle is 180 m²
Answer: D
Step-by-step explanation:
The temperature is at -2 F at 6A.M. During the next three hours, the temperature increases to 15F. What is the temperature at 9A.M. Enter your answer in integer form
Answers
Answer:
Temperature at 9 A.M = 13° F
Step-by-step explanation:
Given:
Temperature at 6 A.M = - 2° F
Temperature increases in 3 hours = 15° F
Find:
Temperature at 9 A.M
Computation:
Temperature at 9 A.M = Temperature at 6 A.M + Temperature increases in 3 hours
Temperature at 9 A.M = - 2° F + 15° F
Temperature at 9 A.M = 13° F
What is the solution set for the inequality?
-6x+9>7x+74
Answers
Answer:
Step-by-step explanation:
- 6x + 9 > 7x + 74
Treat them as being equal first.
Subtract 9 from both sides.
- 6x + 9 - 9 > 7x + 74 - 9
- 6x > 7x + 65
Subtract 7x from each side
- 6x - 7x > 7x - 7x + 65
- 13x > 65
Divide each side by -13
- 13x / -13 > 65 / -13
x < -5
So x hust be smaller than -5 meaning -6 works but -4 doesn't.
Please help! I will mark brainliest.
Answers
whats the answer to this
Answers
Answer:
Step-by-step explanation:
sweet
Rewrite 48 + 60 using the distributive property
Answers
Answer:
12* ( 4+5)
Step-by-step explanation:
48 = 12 * 4
60 = 12 * 5
48 + 60 = 12*4 + 12*5
= 12*( 4 + 5)
= 12* 9
= 108
What is the square root of 255
Answers
Answer:
the square root of 225 is 15.9
Answer:
15.♾
Step-by-step explanation:
4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality
Answers
Answer:
the price per book is $3 the constant of proportionality is 3
Step-by-step explanation:
12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.