The range of the given numbers in the data set is 29.
What is the range of the set?Range is the difference between the highest and lowest values of a set of observations.Range is a measure of variation.
Range = highest value - lowest value
68 - 39 = 29
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2) Edwin A bought a total of 15 student and non-student tickets worth $223.50. The student tickets cost $12.50 each and the non-student tickets cost $18.50 each. How many of each ticket did he buy?
Answer:
Step-by-step explanation:
I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:
We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is
s + n = 15
Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is
12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).
Go back to the first equation and solve it for either s or n. I solve is for s:
If s + n = 15, then
s = 15 - n. Sub that into the second equation in place of s now:
12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get
187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get
6n = 36 so
n = 6. That means that there were 6 non-student tickets sold and
s + 6 = 15 student tickets sold:
s = 15 - 6 so
s = 9
Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D
HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.
Answer:
150% increase
William only had 1 3/4 cups of flour so he can only make 2/3 of a batch of biscuits how much flour is needed for a full batch of biscuits
Answer: 2 5/8 Cups
Step-by-step explanation:
Cups of flour he have = 1 3/4
= 7/4
Batch of biscuits made = 2/3
Flour to make a full batch
7/4 / 2/3 = 2 1/8
= 2 5/8 Cups
Hope it helps
Which cell function must occur for an organism to have enough water and nutrients?
Answer:
i think the endocytosis
Step-by-step explanation:
Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST
Answer:
B. {2/3, 1}Step-by-step explanation:
x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3Correct choice is B
PLEASEEEE HELLPPPPPPPPP
Help me plzzzzzzzzzzzz
Answer:
The circumference of a circle
Step-by-step explanation:
Hope this helped you out :)
Answer:
2π r is how you find the circumference of a circle so the answer is the second option .
HELP ASAP!!! HELP FAST PLEEASE!!!
Answer:
e.
Step-by-step explanation:
Please help,
Find the area of the figure
Answer:
243cm squared
Step-by-step explanation:
A fish starts at -8 m and jumps up 13 m, what is the fishes new elevation?
Answer:
the fish is now at 5 m
Step-by-step explanation:
13-8=5
Thank for doing it I love u
a) Very unlikely (1/30)
b) Unlikely (6/30)
c) Likely (15/30)
mark me brainliestt :))
Find the circumference of this circle
using 3 for T.
C ~ ?
[?]
36
C = ad
helppp
Answer:
C = pi d
C = 3 × 36
C = 108
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Is the point (1,3) inside, outside the circle
Step-by-step explanation:
what is the center of the circle !
-6, -2, 2, 6, 10 ,14.. find the term in position 12 (include the steps)
Need urgent help, will give brainliest for honest help
I'll do the first two to get you started
See the diagram below for the filled out answers.
====================================================
Problem 1
You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.
For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.
For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.
Answers:
10x9in that order
====================================================
Problem 2
We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y
As a way to check the answer, note how 5y is on the left side of line 2.
Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.
The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2
Answers:
5y102in that order
See the diagram below for the filled out answers.
if cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta
Answer:
[tex]14 tan\theta = -48[/tex]
Step-by-step explanation:
[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]
[tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]
[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]
[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]
[tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]
[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]
hello guys I am with another new question-- 5√6=what? who answers will get!!
Answer: 12.24744871
Hope this helps!!! :)
Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?
Answer: <8.01, 5.60>.
Step-by-step explanation:
Vector:
[tex]v= (r\cos\theta,r\sin\theta)[/tex]
, where r = magnitude and [tex]\theta[/tex] = angle .
As per given,
[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]
[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]
Consider
[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]
Hence, the correct option is <8.01, 5.60>.
find the value of x HELP PLS
Answer:
x= 36
Step-by-step explanation:
both angles together are supplementary and will form 180
Therefore, you know the missing angle can be found by substracting 108 from 180
180 - 108 = 72
72 = 2x
Answer:
36°
Step-by-step explanation:
2x+108°=180°
2x=72°
x=36°
Explain two different ways that you can solve the exponential equation 3^x+2=8 .
Answer:
solving a quadratic equation by factoring
using the quadratic formula
Step-by-step explanation:
Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?
the other asnwers dont make any sense. but just take my word for it.
During 1 month ,the mass of a person decreased from 50 kg to 40 kg . calculate the percentage decreased in the mass.
Answer:
Step-by-step explanation:
mass of person decreased=50kg-40kg
=10kg
decrease percentage=10/50*100
=10*2
=20%
find the tangent of angle A (giving brainliest and thanks to all!)
Answer:
Option B, 8 / 6
Step-by-step explanation:
Tangent = Opposite / Adjacent
Tangent of ∠A = Opposite / Adjacent
Tan(A) = 8 / 6 which is the same as Option B
Hope this helps!
which equation can be used to solve for x
Answer:
x+41=90
Step-by-step explanation:
Because that is square which means 90 degrees so 41 degrees plus x equals to 90
Hi there!
»»————- ★ ————-««
I believe your answer is:
The second option, [tex]\boxed{x+41=90}[/tex].
»»————- ★ ————-««
Here’s why:
In the picture given, there are two angles that, together, make up a right angle. You can also tell that it is a right angle because of the box marked in the bottom left corner. The angles in the picture are also complementary angles. Complementary angles add up to 90°. Right angles measure 90°.⸻⸻⸻⸻
We can use the information given to set up an equation.
[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]
Option B matches the equation made. Therefore, option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If you add the two equations 6x + 4y 46 and — 6x + 9y = 6 what do you get?
Answer:
13y = 52
Step-by-step explanation:
6x - 6x + 4y + 9y = (46 + 6)
6x - 6x + 4y + 9y = 52
0 + 4y + 9y = 52
0 + 13y = 52
13y = 52
(p.s. y = 4)
Line AB is perpendicular to line CB.
A(2,3), B(5,7) C(x,8)
What is the value of x to make this statement true?
Answer:
Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
Answer:
a 2 and 3 step by step exolaniation
What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!
Answer:
(0, 3)
Step-by-step explanation:
y= 3 when x=0
The function f(x)=-\x-4/+6 is increasing
through the interval -
A. 6
C. 4
B. -00< x < 4
D. 4
:)
Answer:
Option B
Step-by-step explanation:
Given function is,
f(x) = -|x - 4| + 6
By using a graphing tool we can get the graph of the given function.
From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.
Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].
Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].
Option B will be the correct option.
30 students in a class went on a trip to the other side of the city. There were 4 vans for the
students to take. 6 students walked. How many students could fit in each van?
Answer:
6
Step-by-step explanation:
30-6=24
(6 people walked which means they are not included in the people fitting on the busses)
24/4=6
(from there you need to divide by 4 to tell how many were on each bus.)