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:
https://brainly.com/question/20383699
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Find the height of an equilateral triangle whose perimeter is 24
Answer:
[tex]h = 4\sqrt{3}[/tex]
Step-by-step explanation:
If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8
Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4
So we have [tex]h^2 + 4^2 = 8^2[/tex]
[tex]h^2 = 48[/tex]
[tex]h = 4\sqrt{3}[/tex]
Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd page. My answers are from top top bottom, 1,3,and 2.
Answer:
my guess is 2,3, and 1.
Step-by-step explanation:
in the ending it's always a finish of "definition of something"
After the given is always the substitution
and the angles forming a linear pair sum to 180 is after the substitution because you're now solving it.
maybe wrong but thats what i think the answer is.
A newspaper report claims that 30\%30%30, percent of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125125125 tea-drinking employees which they prefer: green tea or black tea.
Complete question :
A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...
What is an appropriate way for Dr. Huber to finish his null hypothesis?
A. ...equal to 30%
B. ...less than 30%
C. ...greater than 30%
D. ...not equal to 30%
Answer:
A. ...equal to 30%
Step-by-step explanation:
Given the incomplete hypothesis statement for the Null ;
The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30
The alternative hypothesis on the other side is the opposite statement or hypothesis.
if you run 2 1/2 miles each day how far are you going
Answer:
2 1/2 miles
Step-by-step explanation:
my teacher
PLEASE HELP 20 POINTS AND BRAINLEST PLEASE
- Meredith is
feet shorter than her friend
3
Tucker. If Meredith is 5 feet tall, how tall is
Tucker?
Answer: 8 ft
Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.
Answer:
Tucker is 8 feet tall.
Step-by-step explanation:
if she's 3 feet shorter then just add 3 feet to her normal height.
Someone plz help me ASAP
Answer:
best song in the world is baby Shark
area of this question?
Answer:
The answer is 165
Step-by-step explanation:
If I'm wrong I'm sorry
If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b? b = 3 b = 4 b = 5 b = 6
Answer:
[tex]b = 6[/tex]
Step-by-step explanation:
Given
[tex]0<b\le 90[/tex]
[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]
Required
Find b
To solve this, we make use of the following trigonometry rule:
If [tex]\cos(\alpha) = \sin(\beta)[/tex]
Then: [tex]\alpha + \beta = 90[/tex]
So:
[tex]11b + 2 = 12b - 4[/tex]
Collect like terms
[tex]11b - 12b = - 4 - 2[/tex]
[tex]-b = - 6[/tex]
Multiply both sides by -1
[tex]b = 6[/tex]
The line plot shows how many gallons of paint a painter used in 10 jobs. How many total gallons of paint did the painter use on all the jobs that used less than 2 1/2 gallons of paint?
A: 5 1/4
B: 6 3/4
C: 8 3/4
D: 9 1/2
Answer:
8 3/4
Step-by-step explanation:
There are 5 jobs that required less than 2 1/2 gallons.
For the equation, you'll just be adding all these up
1 1/2 + 1 1/2 + 1 3/4 + 2 + 2
Which will give you 8 3/4
PLEASE HELP THUS IS DUE IN AN HOUR
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Step-by-step explanation:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
Find two numbers whose sum is 28 and whose difference is 13
30 POINTS
what is the right answer
Answer:x≥−5
Step-by-step explanation:
684+270 is the same as 654+
Answer:
Thats incorrect. 684+270=954. 654+ would be saying a number thats 654 or higher. But not stating the real total.
Step-by-step explanation:
Hope this helped!! :)
Describe the transformations that will make f(x)=1/x into g(x)=−1x+5−8?
Answer:
f (x) = 4
f (x) = radical 3x-4
f (x) = 3/5x
Step-by-step explanation:
Hope this helped you.
Have a beautiful day!!
A triangle has an area 14.5 ft.². The base of a triangle is 8 feet. What is the height?
Answer:
The height is 3.625ft.
Step-by-step explanation:
0.5x8xa=14.5
4a=14.5
a=14.5/4=3.625
He has hired you as their new production manager. Your job is to look at five different solid figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the five options shown below. The candy is animal gummies. The package must hold between 60 and 70 cubic inches (roughly 4-5 cups of space). The cost of the plastic for the packaging is $0.003 per square inch
What is the measure of arc QSR?
Answer:
250°
Step-by-step explanation:
Answer:
250
Step-by-step explanation:
I did it
Jim is solving 3.6 ÷ 1.5.
He uses an equivalent expression to do the division problem.
Which choice shows how Jim could have found the correct solution to 3.6 ÷ 1.5?
Answer: c·1.5=3.6
Step-by-step explanation:
PLEASE HELP ME ILL MAKE BRAINLIEST!!!!!
I need the correct answer
Answer:
56.7
Step-by-step explanation:
Hello There!
Trigonometric Ratios
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation
[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]
our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer:
56.7
Step-by-step explanation:
so opposite the angle we are working out is "o"And the longest side is the hypotunese but just remember it as "h"a is the remaining side but does not have a value and is blank therefore we need to worry about this sideWe have "o" and "h" which is the formula triangle with sin o/sin*hBut as we are working out the angle(sin) we change the formula so it is sin=0/hsin=51/61sin=0.8then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7so the angle is 56.7What equation matches the graph?
A. y=3/2x +1
B.y=1/3x +1
C. y=1/2x + 1
D. y=3/2x + 1
can you help me with this
Answer:57ft
Step-by-step explanation:
104 divided by 2+ 5=57ft
yeah Sure I Have Captured your solution In Image. hope you understand it
please help asp please
Answer:
C) 76 cm²
Step-by-step explanation:
area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²
another way is:
area = 1/2(b1 + b2)(h)
area = 1/2(11 + 8)(8) = 76 cm²
Answer:
76
Step-by-step explanation:
Hello There!
The area can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
we need to find the height before we can find the area
the shape was split into a triangle and a square
because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm
now we plug in the known information into the formula
[tex]A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76[/tex]
so we can conclude that the area of the trapezoid is 76 square centimeters
Factorise, check by using multiplication a-7a+12
Answer:
Step-by-step explanation:
Sum = -7
Product = 12
Factors = (-3) ; (-4) { (-3) * (-4) = 12 and (-3) + (-4) = -7}
a² - 7a + 12 = a² -3a - 4a + (-3)(-4)
= a(a - 3) - 4(a - 3)
= (a - 3)(a - 4)
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Answer:
n/-10=-120
n=1200
Step-by-step explanation:
Bestbuy is having a sale, 45% off all merchandise! You see a laptop you like and you only have $300. The laptop's regular price is $499. Can you afford it after the discount?
Answer:
Yes you could afford it
Step-by-step explanation:
Answer
yes.
Step-by-step explanation:
45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.
how many solutions does this equation have?
3x-5=2x+2
Answer:
x = 7
Step-by-step explanation:
3x+2x=7x
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
can someone give me the answer to this !
Answer:
9
Step-by-step explanation:
Answer:
there are nine teachers
Step-by-step explanation:
Anthony babysits on the weekend to earn extra cash. He charges an initial fee of $5.00,
and charges $9.00 per hour. If he earned $59.00 in one night, how many hours did he
babysit?
Answer:
6
Step-by-step explanation:
First subtract the fixed fee. 59-5=54
Divide 54 by 9.
6
Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed,
how many women are employed there?
Proportion women /men = 2/7 = x/490 7x= 2· 490 :7
X = 2·70 = 140