The inequality that represents the number of adults and children who can go to a show using the $30 gift certificate is:
x < 4 and y < 7.
Where x is the number of children and y is the number of adults.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost = $8.00
Children's tickets (y) cost = $4.50
Now,
The number of children who can go to the theater.
4.50y = 30
y = 30/4.50
y = 6.67
This means,
y < 7 _____(1)
Now,
The number of adults who can go to the theater.
8x = 30
x = 30/8
x = 3,75
x < 4 ______(2)
Thus,
From (1) and (2).
The inequality represents the number of adults and children
x < 4 and y < 7.
Learn more about inequalities here:
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i need help with my last two questions:)
Answer:
5. (a)
6. (b)
I am hoping that this will help you
What is 23x9+37-213+(5x12)
Answer: 91
is that a x or multiply?
Please help I’m struggling
If g(x) = x2 + 2, find g(3). (2 points)
Оа
9
Ob
8
Ос
11
Od
6
Answer this question to get marked as brainliest!!!!!
Answer:
A) 80 degrees
Step-by-step explanation:
100-20=80
THIS IS 16 POINTS PLEASE HELP
Answer:
C) $540
Step-by-step explanation:
180 + (120 x 0.20)(15) = $540
Answer:
C. 540
Step-by-step explanation:
120 × 15
=1800
1800 × 20%
=360
360 + 180
= 540
What is the answer?
Answer: C
Step-by-step explanation:
Please help me I need ASAP please please help me please please help please
Answer:
3
Step-by-step explanation:
i am so sorry if i am not correct
Which linear function is graphed on the grid?
a - g(x) = 2/15x - 6
b - g(x) = 2/15x + 45
c - g(x) = 15/2x - 6
d - g(x) = 15/2x + 45
Answer:
G(x)=2/15x-6
Step-by-step explanation:
The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
From the graph, the x-intercept is - 6, and the y-intercept is 45. Then the equation is given as,
x/(-6) + y/45 = 1
- 15x + 2y = 90
y = (15/2) x + 45
g(x) = (15/2) x + 45
The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.
More about the linear equation link is given below.
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what is x? plz help :)
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
The answer choices are 11 1 2.48 6
Answer:
The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]
Now factor out the coefficient of the quadratic term:
[tex]h(t)=-5(t^2 -2t) + 6[/tex]
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]
Now take the balancing term out of the parenthesis:
[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]
Simplify:
[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
[tex](1, 11)[/tex]
You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.
Answer:
$11 and $16
Step-by-step explanation:
let x be the cost of a student ticket then an adult ticket is x + 5 , then
3x + 7(x + 5) = 145 , that is
3x + 7x + 35 = 145
10x + 35 = 145 ( subtract 35 from both sides )
10x = 110 ( divide both sides by 10 )
x = 11
Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16
Determine which is the graph of the given function.
-0.57+ 5 if x <1
=
-0.5(x + 5) if x 1
What is the x-intercept for (-4,-4), (2,-2)
A rectangular prism has a volume of 750 cubic millimeters. Its length is 15 millimeters, and its width is 10 millimeters. What is its height?
50 mm
5 mm
6 mm
60 mm
Answer:
5mm
Step-by-step explanation:
Mr Jones bought a snowboard. The 6% sales tax on the snowboard was $32.50. What was the total cost including the sales tax? (rounded to nearest cent)
Answer: $574
Step-by-step explanation:
First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,
6% of x = $32.50
0.06 × x = $32.50
0.06x = $32.50
x = $32.50 / 0.06
x = $541.67
Therefore, the total cost including the sales tax will be:
= $541.67 + $32.50
= $574.17
= $574
find the missing side length labeled with a ? mark.
Answer: 10
Step-by-step explanation:
Since the lines are parallel, the triangles are congruent. This means their side lengths are an equal ratio!
6 + 6 : 20 = 6 : ?
12:20 = 6:?
12:20 = 6:10
Answer is 10
A triangle has sides with lengths of 20 centimeters, 48 centimeters, and 54 centimeters. Is the triangle a right triangle?
Nathan usually drinks 37 ounces of water per day. He read that he should drink 62 ounces of water per day. If he starts drinking 62 ounces, what is the percent increase? Round to the nearest percent.
Answer:
68%
Step-by-step explanation:
The increase is (62 - 37), or 25, ounces. Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio). Multiplying this ratio by 100%, we get 68% (to the nearest percent).
What is the formula for total surface area of
cylinders?
Thanks in advance
Answer:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
Step-by-step explanation:
Write an equation of the line in slope-intercept form. (0,2) (3,3)
i dont see an image
Step-by-step explanation:
Answer: y = 1/3x +2
Step-by-step explanation:
The slope-intercept form of an equation looks like this:
y=mx+b
The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.
We have the two points you entered, so let's start by getting the slope. (1/3)
Now that we have the slope, we can plug it into our equation: y = 1/3x+b
To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2
Hope it helps.
50 points Help Please!!!! Solving angle word problems with complementary and supplementary angles
Will give brainliest and 20 points!!!!!!
7 meters
Step-by-step explanation:
Is 17/34 and 32/64 proportional why or why not?
Answer:
Yes
Step-by-step explanation:
Both equals to 1/2
That's the answer
1.What is the principal which would amount to $6 900 in 3 years at 5% simple interest per annum?Required to answer. Single choice.
(1 Point)
a.) $6 885
b.) $6 555
c.) $6 000
d.) $5 865
Answer:
c
Step-by-step explanation:
I just looked up the question
The area of a gymnasium is (27x + 18) square units. Factor
27x + 18 to find possible dimensions of the gymnasium.
Answer:
9 by (3x + 2) units
Step-by-step explanation:
Note that 9 is a factor of both 27x and 18. Therefore,
27x + 18 factors into 9(3x + 2).
Possible dimensions of the gym are 9 by (3x + 2) units.
A triangular sail has a base length of 3 meters. The area of the sail is 12 square meters. How tall is the sail
Answer: 4
Step-by-step explanation: Length times width times height so you have to do 12 divided by 3 and you get 4
What is the domain of the function y=2/x-5
Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Evan need to invest, to the nearest ten dollars, for the value of the account to reach $67,000 in 7 years?
Answer:
43720
Step-by-step explanation:
It was right on delta math
Find the value of x! First person to correctly respond gets brainliest!!
Answer:
180-33 = 147
Step-by-step explanation:
what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case
a)90 sec to 7min
b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
e)2,5 to 7am
f)5 300m to 2,5km
Answer:
a) 3 : 14
b) 4 : 15
c) 3: 4
d) 19 : 15
e) 53 : 25
Step-by-step explanation:
a)90 sec to 7min
We convert 7 mins to seconds
1 minute = 60 seconds
7 minutes = x seconds
Cross Multiply
x = 7 × 60 seconds = 420 seconds
Hence,
Our ratio is
90 seconds : 420 seconds
Divide both sit by 30
= 3 : 14
b)48min to 3hours
We convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x minutes
Cross Multiply
x = 3 × 60 minutes = 180 minutes
Hence,
Our ratio is
48 minutes : 180 minutes
Divide both sides by 12
4 : 15
c)2.5 days to 80hours.
We are converting 2.5 days to hours
1 day = 24 hours
2.5 days = x
Cross Multiply
x = 2.5 × 24 hours = 60 hours
Hence,our ratio
60 hours : 80 hours
Divide both sides by 20
3: 4
d)3 800mm to 3m
We convert 3 m to mm
1 m = 1000 mm
3 m = x mm
Cross Multiply
x mm = 3 × 1000 mm
x mm = 3000mm
Hence, ratio is
3800 mm : 3000mm
Divide both sides by 200
19 : 15
e)5300m to 2.5km
We convert km to m
1 km = 1000 m
2.5 km = x m
Cross Multiply
x m = 2.5 × 1000m
x = 2500m
Hence, our ratio
5300m : 2500m
Divide both sides by 100
53 : 25