Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.
Write a system of inequalities to represent the situation. Be sure to define your variables.
Answer:
Tickets to sit on the bench (b) = 150
Tickets to sit on the lawn (l) = 200
Step-by-step explanation:
Tickets to sit on a bench (b)cost $75 each.
Tickets to sit on the lawn (l) cost $40 each
350 tickets had been sold
$19,250 had been raised through tickets sales
This forms a simultaneous equation:
b + l = 350 ... (i)
75b + 40l = 19,250 ... (ii)
Multiplying (i) by 40 and (ii) by 1 we get;
40b + 40l = 14,000 ... (i)
75b + 40l = 19,250 ... (ii)
Subtracting (ii) - (i) we get;
35b = 5250
b = 5250 ÷ 35 = 150
Answer:
X+=4
Step-by-step explanation:
I did it
The Rodriguez family's ate 1/3 of a pan of brownies, they will take One part to their block party and the other to share with the co-workers. How much of the whole pan of brownies will each plate get?
Answer:
[tex]\dfrac{1}3[/tex]
Step-by-step explanation:
Given that:
Part of pan of brownies eaten by Rodriguez family = [tex]\frac{1}{3}[/tex]
One part of the remaining pan of brownies will be taken to the block party.
And the other part of the remaining pan of brownies will be given to the co-workers.
To find:
How much of the whole pan of brownies will be in each plate?
Solution:
First of all, let us find the remaining part of brownies after the family ate [tex]\frac{1}{3}[/tex] part of the pan.
Remaining = [tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
Now, from the remaining pan of brownies, they are divided in 2 halves.
These part will be equal to:
[tex]\dfrac{\frac{2}{3}}{2} = \bold{\dfrac{1}{3}}[/tex]
Therefore, the answer is:
[tex]\dfrac{1}3[/tex]
Can someone help me!!
Answer:
$642
Step-by-step explanation:
To calculate sales tax, you multiply the percentage by the price. In this case it would be 600 x 0.07 which is 42. Then you add them together which would be 600 plus 42 which equals 642.
Question 5 (1 point)
Supplementary angles always
оа
b
equivalent.
add up to 180 degrees.
add up to 360 degrees.
add up to 90 degrees.
ос
Od
PLEASE HELP! Will give brainliest
5. What is the next term of the sequence -3, 6, -12, 24,... , and what it's arithmetic sequence?
Answer:
a(5)=-48
Step-by-step explanation:
I think u r confused
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6+3=9 not equal to d=-12-6=-18
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/-3=-12/6=24/-12=-2 equal
So it is geometric
By using this equation:
a(n)=a*r^(n-1)
and we have a=-3 , r=-2
Then a(n)=-3*(-2)^(n-1)
To get the next term:
a(5)=-3*(-2)^(5-1)
a(5)=-3*(-2)^(4)
a(5)=-3*16=-48
I really hope this helps <3
Number 17 please help?
Pls
Answer:
B
Step-by-step explanation:
help me on this question
Answer:
Step-by-step explanation:
a) 16^ (-1/4)=2^4(-1/4)=2^-1=1/2
b) 27*9^3x=
we write 27=3^3
9=3^2*3x=3^6x
3^3 x 3^6x= k=3+6x
Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β
Answer:
i have
Step-by-step explanation:
i dont even know good luck
In each bouquet of flowers, there are 5 roses and 8 white carnations. Complete the table to find
many roses and carnations there are in 5 bouquets of flowers.
There are (____) roses and (____) carnations in 5 bouquets
Answer:
25 roses and 40 white carnations
Step-by-step explanation:
Answer:
25 roses and 40 white carnations is the answer hope this helps:)
Step-by-step explanation:
Carson is checking his work with Katie and finds that they disagree on a problem. Here’s what Katie wrote:
3x + 3 ≤ −2x + 5
3x ≤ −2x + 2
x ≤ 2
Is she right? Explain.
Answer:
-3 < 2x + 5 ≤ 7
Step-by-step explanation:
An inequality is a sentence with <, >, ≤, or ≥ as its verb. ... Similar statements hold for a ≤ b. ... To check, we can graph y1 = 3x - 5 and y2 = 6 - 2x. ... x ≤ 1. The solution set is {x|x ≤ 1}, or (-∞, 1]. The graph of the solution set is shown below. ... The sentence -3 < 2x + 5 ≤ 7 is an abbreviation for the preceding conjunction.
Find all values of x that make the equation true.
3/x-4 = x-5/x
The solution of the given equation are; X = -2 - 2√3 or x = -2 + 2 √3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as 3/x-4 = x-5/x
Therefore, 3/x-4 = x-5/x
3 - 4x /x = x² - 5 / x
Cancel out the denominator;
3 - 4x = x² - 5
x² - 5 - 3 + 4x = 0
x² - 8 + 4x = 0
x² + 4x - 8 = 0
For the value of x;
x = 4 + √16 + 32 / 2
x = -2 + 2√3
OR
x = 4 - √16 + 32 / 2
x = -2 - 2√3
Hence, The solution of the given equation are; X = -2 - 2√3 or x = -2 + 2 √3
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?
x + y = 27,
2x + 3y = 60
What is the solution of the system of equations, and what does it represent?
options:
(6, 21); 6 two-point shots and 21 three-point shots
(6, 21); 6 three-point shots and 21 two-point shots
(21, 6); 21 two-point shots and 6 three-point shots
(21, 6); 21 three-point shots and 6 two-point shots
Answer:
the answer is (21, 6); 21 two-point shots and 6 three-point shots
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did the test
find the slope of the graph
Answer:
i think its 1/7 or 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
One week the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and violin.
Answers:
Trumpet:
Clarinet:
Violin:
Answer:
Cost of Trumpets: $174
Cost of Clarinets: $149
Cost of Violins: $89
Step-by-step explanation:
Got it correct
Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 3? (1 point)
The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.
Answer:
The graph shifts 5 units left
Step-by-step explanation:
The original function's k is -2. The second is 3. The difference from -2 and 3 is 5 units apart.
Pls explain how to solve this problem pls ASAP if you know it pls!
Please please help and show how you got the answer! I WILL MARK YOU AS BRAINLIEST
Answer:
DE < EF < DF
Step-by-step explanation:
since DE(16) is shorter then DF(23), DE < DF
EF's range is in the middle of DE and DF, so the correct answer would be
DE < EF < DF
Which equation demonstrates the distributive property? A = 7(1+6)=7(6+1) B = (7x1) x 6 = 7(1x6) C = (7x1) x 6 = 7(6x1) D = 7(1+6) = (7x1) + (7x6) HELP END OF SEMSSTER
Answer:
D. 7(1+6) = (7x1) + (7x6)Step-by-step explanation:
Let A, B and C be any integer or function. According to distributive property;
A(B+C) = AB + AC
From the expression, you can see that A is distributed over B and C during the expansion.
Based on this same concept, the equation that demonstrates the distributive property from the given options is 7(1+6) = (7x1) + (7x6)
From the equation, you can see that 7 is distributed over 1 and 6 to give 7(1) + 7(6).
The remaining options demonstrates the commutative property.
What is the equation of the line through (2,-4) and (0,4)?
Answer:
y = -1/4x + 4
Step-by-step explanation:
y2-y1/x2-x1
Simplify.
(22-7y+6)-(-4y2 + 3y+5)
Answer:
4y^2 - 10y + 23
Step-by-step explanation:
Answer:
Step-by-step explanation:
(22 - 7y + 6) - (-4y² + 3y + 5) = 22 + -7y + 6 + 4y² - 3y - 5
= 22 + 6 - 5 - 7y - 3y + 4y²
= 23 - 10y + 4y²
plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300
Answer: 15
Step-by-step explanation:
On January 1, 2014, the federal minimum wage was $7.25 per hour. Which graph has a slope that best represents this rate? Will give brainliest!!
Answer:
the answer is c
Step-by-step explanation:
i did it on paper
pls help me with this question.
Answer:
Option B
Step-by-step explanation:
Slope = Change in y / Change in x
Slope = (8 - 2) / {6 - (-4)}
Slope = 6 / (6 + 4)
Slope = 6 / 10
Slope = 3 / 5
So option B is your answer
2x* + 8x8 – 25x² - 6x +14 ?
Which expression is equivalent to
x +6
(1) 2x3 + 4x² + x - 12 +
86
r +6
(2) 2x3 – 4x2
-x + 14
(3) 2x3 - 4x2 - r +
14
1 +6
(4) 2x² - 4x² – x
Please help
Answer:
B ; 2x^3-4x^2-x+\frac{14}{x+6}
Step-by-step explanation:
if m<1 = 3x - 3 and m<5 = 7x + 23, for what value of x is l||m
Answer:
x= 12
Step-by-step explanation:
-11/12 minus
3/8
Select one:
A.
-1 7/24
B.
-8/24
C.
8/4
D
-13/24
Answer:
A
Step-by-step explanation:
this is also -31/24 or -1 7/24 in mixed number form
x3 + 4x2 - 14x - 17/ X - 3
Answer:-54 i think or its 54 over x -3
Step-by-step explanation:
hope this helped you
URGENT LOTS OF POINTS
Answer:
+2
Step-by-step explanation:
Answer:
its +2
Step-by-step explanation:
PLZ THANK FIVE STARE AND GIVE BRAINLIEST.
The cost price of a washing machine is $15,480 if the selling priceis $17,000 what is the profit or loss
Answer:
profit
Step-by-step explanation:
the actual price is 15 480 and the seller sold it for 17 000
which he made a profit of 1520
what is 6÷102??
for math