QUICKK The Johnson family went to a socially distance movie and paid $30 for two adults and two children the modern family went to the same movie and paid 35 for two adults and three children what was the price of an adult ticket
Answer: adults = $10
Step-by-step explanation:
x = adults
y = children
2x + 2y = 30
2x + 3y = 35
Using the elimination method:
2x + 2y = 30
-2x - 3y = -35 (multiplied by -1, to give 2x -2x = 0)
Solve for y...
2y = 30
-3y = -35
Add together...
-y = -5
Multiply by -1 to give positive value for y...
y = $5
Plug into one of the original equation to find x...
2x + 10 = 30
2x = 20
x = $10
Write story problem that uses addition and has a solution of 6 (x=6)
Answer:
Let me give you an example of a segment addition problem that uses three points that asks the student to solve for x but has a solution x = 20.
First, I assumed values for each x, y and z and then manipulated their coefficients to get the total at the end of each equation.
20 + 10 +30 = 60
40 + 0 + 40 = 80
40 + 10 = 50
Then exchangeing these numbers into values and we have the following equation.
x + 2y + 3z = 60
2x + 4z = 80
2x + z = 50
If you will solve them manually by substituting their variables into these equations, you can get
x = 20
y = 5
z = 10
Step-by-step explanation:
Add the following expressions: 3r - 7 and -10r + 2
-13r-9
13-5
O -7r - 9
-7r -5
Answer:
Step-by-step explanation:
-7r - 5
Hope that helps! :)
-Aphrodite
Answer:
-7r - 5
Step-by-step explanation:
3r - 7 and -10r + 2
*remember that you can only combine the like terms
3r - 10r = - 7r
-7 + 2 = -5
Final Answer: -7r - 5
What is volume? USE YOUR WORDS NOT G00GLE"S. (if answer is in a folder or link please dont answer) thank uu
Answer:
Typically, volume is used to measure the capacity of a container/bottle/etc. It is used alongside measurements for liquids, like mL or L.
Step-by-step explanation:
2.
Abus drove 70 miles in 2 hours. What is the unit rate?
d
b
70 miles
35 miles
140 miles
140 miles
1 hour
2 hours
1 hour
4 hours
No
Answer:
The unit rate is 35 miles per hour
Step-by-step explanation:
Compute the range of the box and whisker plot. Type a numerical answer in the space provided. DO not type spaces in your answer.
Answer:
94
Step-by-step explanation:
The range of a dataset is the difference between the maximum and minimum value :
The staring point of the whisker is the minimum = 4
The end point of he whisker is the maximum = 96
The range of the box and whisker plot is Hence,
Minimum = 4
Maximum = 98
Range = 98 - 4
Range = 94
verify the following identity: sinx+cosx×cotx=cscx
Which of the following statements is NOT true?
A. -4 divided by 7 is a negative number
B. -4/-7 = 4/7
C. -2 (-3+0.5) = (-2) (-3) + (-2) (0.5)
D. (-2) (1/3) (-4) is a negative number
!50 POINTS!
Which number is a solution of the inequality?
6 greater than z left-parenthesis 10 minus z right-parenthesis
A. 0
B. 1
C. 2
D. 3
I'm super confused on this question. Awarding Brainiest for Answer and Step By Step Explanation. Thanks!
Answer:
A. 0Step-by-step explanation:
Given inequality:
6 > z(10 - z)Solution:
6 > 10z - z²z² - 10z + 6 > 0z² - 10z + 25 > 19(z - 5)² > 19z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64The only number satisfying this inequality is 0.
Correct choice is A
what is the CORRECT answer?
Answer:
bro use the dang fromula
Step-by-step explanation:
L*W=A divided by 2
Changing the order of numbers and what
2 operations changes the answer?
Answer:
If you change the order of the numbers when adding or multiplying, the result is the same. Use the commutative properties to rewrite the following expressions: Use the commutative property of addition to change the order. Use the commutative property of multiplication to change the order. Use the commutative properties to rewrite the following:
Step-by-step explanation:
In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)
Answer:
[tex]BD = 30[/tex]
Step-by-step explanation:
Given
[tex]AB = 17[/tex]
[tex]AC = 16[/tex]
See attachment
Required
Find BD
If AC = 16, then:
[tex]AO = 16/2[/tex] i.e. half the diagonal AC
[tex]AO = 8[/tex]
The diagonals of a rhombus are perpendicular.
This implies that we can apply Pythagoras theorem.
Using Pythagoras theorem on triangle AOB, we have:
[tex]AB^2 = AO^2 + OB^2[/tex]
[tex]17^2 = 8^2 + OB^2[/tex]
[tex]289 = 64 + OB^2[/tex]
Collect like terms
[tex]OB^2 = 289 - 64[/tex]
[tex]OB^2 = 225[/tex]
Take positive square roots of both sides
[tex]OB = 15[/tex]
To solve for BD, we use:
[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD
[tex]BD = 2 * OB[/tex]
[tex]BD = 2 * 15[/tex]
[tex]BD = 30[/tex]
An author works on a new book and after writing a few chapters, begins a new plan to write 600 words per day. On the fifth day of working on this plan, 4,500 words have been written. If the equation y = 600x + b represents the total number of words the author has written, y, based on the number of days, x, since the new plan was started, what is the value of b?
Calculate the surface area of a 9' by 8' by 11' rectangular prism. Just enter the number, not the unit.
PLEASE HELP!
Answer:
518
Step-by-step explanation:
LxWxH
9*8*11
518
1/5 x 5 1/2 =
Can someone help me ?
Answer:
1/2
Step-by-step explanation:
reduce the numbers with the greatest common factor 5
1/5×5 1/2
1/2
Answer:
this is the answer hope it helps
Select all the solutions to
( x - 2) to the power of 2 = -16
Go bad b go bad b go, bad b, ah fat, 40 inch hair yours came in a pack.
Which of the following are identities? Check all that apply.
Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D
Step-by-step explanation:
T////T
im ok at math if its wrong im sorry T^T
Answer:
A, B, C, and D.
Yeah, I bet you didn't see this one coming.
Hope this helps!
the sum of two integers is less than -57. one integer is 23 what is the other integer?
Answer:
The other integer is less than -80
Step-by-step explanation:
The given sum of the two integers < -57
The value of one of the integers = 23
Let 'b' represent the value of the other integer, we are given;
b + 23 < -57
Therefore, we have;
b < -57 - 23 = -80
Therefore, the other integer, b < -80.
Maximum profit. A university student center sells 2,000 cups of coffee per day at a price of $4.0. A market survey shows that for every $0.1 reduction in price, 100 more cups of coffee will be sold. The cost of making one cup of coffee is $1.0. a) how much should the student center charge for a cup of coffee in order to maximize the profit? b) how many cups of coffee is the student center selling per day with this price? c) what is the maximum profit?
Answer:
a) $3.50
b) 2,500 cups
c) $6,250
Step-by-step explanation:
a) The number of cups of coffee the student sells, n = 2,000 cups
The price at which the student sells the coffee, P = $4.0
The number of extra cups sold for every $0.1 reduction in price = 100 cups
The cost of making one cup of coffee, C = $1.0
Let 'x' represent the set charge for a cup of coffee, we get;
The number of cups, nₙ = 2,000 + 100 × (4.0 - x)/0.1 = 6,000 - 1,000·x
Therefore, the revenue is given as follows;
Revenue, R = x × (6,000 - 1,000·x) = 6000·x - 1,000·x² = 1,000·(6·x - x²)
The cost, C = 1 × 6,000 - 1,000·x = 6,000 - 1,000·x
The profit, P = Revenue - Cost
∴ Profit = 6000·x - 1,000·x² - (6,000 - 1,000·x) = 7,000·x - 1,000·x² - 6,000
Profit, P = 7,000·x - 1,000·x² - 6,000 = 1,000 × (7·x - x² - 6)
At the maximum profit, we have; , we have;
dP/dx = 0
∴ dP/dx = d(1,000 × (7·x - x² - 6))/d
dR/dx = 1,000·d(7·x - x² - 6)/dx = 1,000 × (7 - 2·x) = 0
x = 7/2 = 3.5
The price that gives the maximum profit, x = $3.50
Therefore, the amount the student center should charge for a cup of coffee to maximize profit, x = $3.50
b) We have;
The number of cups, n = 6,000 - 1,000 × 3.5 = 2,500
The number of cups of coffee the student center sells at the price that gives the maximum profit, n = 2,500 cups
c) The maximum profit, [tex]P_{max}[/tex] = 1,000 × (7 × 3.5 - 3.5² - 6) = 6,250
The maximum profit, [tex]P_{max}[/tex] = $6,250.
I need helppppp :(((
2 and 1/2 divided by 3/8 as a fraction
Answer:
6 and 2/8 or reduced to 6 and 1/4
Step-by-step explanation:
!! Please help, due soon !! (No scam answers or links, ty.)
Is the following expression a monomial, binomial, or trinomial? 2a^2 - 5a + 7
Answer: Trinomial
Step-by-step explanation: This expression has 3 terms (2a^2, -5a, and 7), so it is a trinomial. An easy way to remember this is that 'tri' = 3, 'bi' = 2, and 'mono' = 1. Hope this helped :)
solve for x: 2x-y=3 if you can show work thanks.
Answer:
x = 3/2 + y/2
Step-by-step explanation:
:)
what is the area of the triangle in square inches?
Answer:
22in.^2
Step-by-step explanation:
Area of a triangle formula is A= b*h* 1/2
(b= base h= height)
the base is 8
the height is 5 1/2
8*5 1/2
----------
2
5 1/2 = 5.5
8* 5.5 = 44
44/2 = 22
calculate the difference between the two times.
8: 15 am. or pm
3: 30 am or pm.
Answer:
5:15 pm is the answer for the question
Andrew has a round trampoline with a diameter of 4 yards. What is the circumference of the trampoline?
You would use this formula for the problem...
(C=2πr) The circumference equals 2 multiplied by pi and radius.
In this problem it says diameter, but the diameter is just twice the length of the radius, so just multiply the radius by 2. Plugin your number.
C=2π(2) since 2 is half of 4, that's your radius.
Your answer is roughly C= 12.57.
You're welcome.
What is the measure of
Angles are not necessarily drawn to scale,
A
B
С
73
x O
Answer:
17°
Step-by-step explanation:
m∠x=90-73=17° (∠AOC is right angle)
A plane travels 1200 miles from San Diego, Ca to Portland, Oregon. On the way there, the plane traveled with the wind and made it in 4 hours. On the return trip, the plane traveled against the wind and made it in 6 hours. Find the speed of the plane and the speed of the wind.
Answer:
Speed of plane is 250 miles per hour and speed of wind is 50 miles per hour
Step-by-step explanation:
Let x represent the speed of the wind. When travelling with the wind, the plane travels 1200 miles within 4 hours. Hence the speed of the plane with the wind is:
speed = distance / time = 1200 miles / 4 hours = 300 miles per hour
When travelling against the wind, the plane travels 1200 miles within 6 hours. Hence the speed of the plane against the wind is:
speed = distance / time = 1200 miles / 6 hours = 200 miles per hour
Therefore:
300 - x = 200 + x
300 - 200 = x + x
2x = 100
x = 50 miles per hour
The speed of the wind = 50 miles per hour. The speed of the plane = 300 - 50 = 200 + 50 = 250 miles per hour
£40 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Jim get?
Answer:Jim gets £24
Step-by-step explanation:
Let the amount Natasha gets be represented as x
SO that Krutika getting three times as much as Natasha be represented as 3x
AND Jim getting twice as much as Krutika be represented as 2 x 3x=6x
The equation to show how much each gets can be represented as
x + 3x +6x=40
Solving
x +3x + 6x=40
10x =40
x =40/10 =4
Natasha gets £4
Krutika gets 3x =3x4= £12
Jim gets 6x=6 x4= £24