Answer:
12s + 5c = 125
5s + 5c = 85
price of senior citizen ticket = $5.71
price of a child's ticket = $11.29
Step-by-step explanation:
This question can be solved using simultaneous equation
12s + 5c = 125 equation 1
5s + 5c = 85 equation 2
subtract equation 1 from 1
7s == 40
s = 40/7 = 5.71
Substitute for s in equation 1
12(5.71) + 5c = 125
68.57 + 5c = 125
5c = 125 - 68.57
5c = 56.43
c =11.29
Help me I will brainliest and like fast
Answer:
5
Step-by-step explanation:
10
05
15
20
25
60
30
35
40
55
45
50
Which of the following represents the Inter-Quartile Range of data?
A. 26
B. 50
C. 56
D. 10
E. 16
The value that represents the Inter-Quartile Range of data is 26.
Option A is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the boxplot, we can see that,
Third quartile = 46
First quartile = 20
Now,
Interquartile range
= Third quartile - First quartile
= 46 - 20
= 26
Thus,
The value that represents the Inter-Quartile Range of data is 26.
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A restaurant served a new flavor of tea. The owner surveyed a total of 75 customers (male and female) to find out if they liked the tea. The Venn diagram shows results of the survey.
One of the surveyed customers is chosen at random.
What is the probability that this person liked the tea, given that the person is female? (Round answer to the nearest hundredth.)
The probability that this person liked the tea, given that the person is female is P = 0.806
How to get the probability?
The probability will be given by the quotient between the number of females that liked the tea and the total number of females in the experiment.
We know that there are 25 + 6 = 31 females in the experiment, and 25 of them liked the tea, then the probability that a random female likes the tea is:
P = 25/31 = 0.806
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please answer if you are able to see my picture. thanks:•)
Answer:
in 5 weeks i think
Step-by-step explanation
I added 300+20 5 times. Same with the 250
Answer:
5
Step-by-step explanation:
to vick = W1 = 300 + 20 x ( 1 )
to anya = W2 = 250 + 30 x ( 2) Both 1 and 2 ( simulataneous )
When W1 = W2
300 + 20 x = 250 + 30 x
10 x = 5
so they need 5 months
If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!
Note: 2/75 = 0.0267 = 2.67% approximately
========================================================
Explanation:
The states that start with "A" are:
AlabamaAlaskaArizonaArkansasWe have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.
When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.
We'll multiply the fractions to get our answer:
(2/25)*(1/3) = (2*1)/(25*3) = 2/75
will mark brainlist!!!!
Shabina is making a cubiod-shaped swimming pool. Her pool will be 20m long and 5m wide. Its volume will be 200m squared. What is the depth of her pool?
Answer:
2m
Step-by-step explanation:
HxWxL
20m x 5m = 100m
200m/100m = 2m
What is the best estimated sum of 6/7 + 4/7?
A) 1/2
B) 1
C) 1 1/2
D) 2
Answer:
C. 1 1/2
Step-by-step explanation:
6/7 + 4/7 = 10/7 So 1 3/7. closest is 1 1/2
What is the surface area of the triangular prism?
a
152 square feet
b
252 square feet
c
172 square feet
d
264 square feet
I would try and help but I think it's missing the picture
Section A - Cla
Let's tell and write the answers as quickly as possi
a) Natural numbers less than 10 are
b) Whole numbers less than 10 are
c) The least and the greatest natural numbers are
d) The least and the greatest whole numbers are
e) Are all natural numbers whole numbers?
f) Are all whole numbers natural numbers?
g) Is the sum of 5 and 4 a natural number?
h) Is the difference of 5 and 5 a natural number?
i) Is the difference of 5 and 5 a whole number?
Students from the local high school are selling tickets to the town's annual carnival. Adult
admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first
day, 440 tickets had been sold totaling $1900. How many adults and how many children
entered the carnival during the first two hours it was open?
Answer:
320 adults and 120 children
Step-by-step explanation:
First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.
5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold
a + c = 440
Now solve for either a or c in the second equation. I chose to solve for a. a=440-c
Use that to substitue into the other equation.
5 (440-c) +2.5c = 1900
2200-5c +2.5c = 1900
-5c+2.5c = -300
-2.5c=-300
c=120
Now plug 120 into the equation a+c=440 and solve for a
what os the quotient of -8x^6/4x^-3
Answer:
-2x^9
Step-by-step explanation:
-2x^6-(-3) = -2x^9
A line passes through the point (-8, 2) and has a slope of -1
Answer:
y=-x-6
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.
If this answer has helped you please mark as brainliest
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
What is m
A: 19°
B: 68°
C: 112°
Answer:
m<N=68
Step-by-step explanation:
opposite angles of the parallelogram are equal(or congruent):
4x+36=6x-2
6x-4x=36+2
2x=38
x=38/2=19
the sum of the angles of the parallelogram =360
4x+36=4(19)+36=112 angle P
6x-2=6(19)-2=112 angle M
let Q= N=x
2x+112+112=360
2x=360-224
2x=136
x=136/2=68
Can someone help me shot this problem
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Nicole, Jared, Adam, and Mary are in a tennis tournament. They all have an equal chance of winning. Use an organized list to help you answer what is the probability that Nicole will come first or second?
Answer:
½
Step-by-step explanation:
since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½
SOMEONE HELP ME PLZ
.
Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon.
Round to the nearest tenth, if necessary.
Answer:
[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle
[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle
Step-by-step explanation:
Given [Missing from the question]
[tex]n = 14[/tex] --- number of sides
Required
- The measure of an exterior angle
- The measure of an interior angle
For an n-sided polygon, the measure of each exterior angle is:
[tex]\theta = \frac{360}{n}[/tex]
Substitute 14 for n
[tex]\theta = \frac{360}{14}[/tex]
[tex]\theta = 25.7^\circ[/tex]
For an n-sided polygon, the measure of each interior angle is:
[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]
Substitute 14 for n
[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]
[tex]\theta = \frac{12 * 180}{14}[/tex]
[tex]\theta = \frac{2160}{14}[/tex]
[tex]\theta = 154.3^\circ[/tex]
3.
I NEED HELP
Write the slope-intercept form of the equation for the line.
A. y=[tex]-\frac{8}{7} x-\frac{3}{2}[/tex]
B. y=[tex]-\frac{3}{2}x+ \frac{7}{8}[/tex]
C. y=[tex]-\frac{7}{8}x- \frac{3}{2}[/tex]
D. y=[tex]\frac{7}{8}x- \frac{3}{2}[/tex]
Answer:
Step-by-step explanation:
Algebra Examples
Popular Problems Algebra Graph y=7x-8
y
=
7
x
−
8
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
7
y-intercept:
(
0
,
−
8
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
x
y
0
−
8
8
7
0
y=7x-8
Similar figures have the same ________ but not necessarily the same size.
In ΔPQR, what is the m∠Q? Enter your answer in the box.
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°
Answer:
105.
I hope you have a good day :)
given map is the plan of a house 16 cm long and 12cm broad if the actual length is 32 feet find the actual breadth of the house
Answer:
look at the picture i sent......
pls helppp!
what is the area of the the shaded region?
a. 11 square cm
b. 19 square cm
c. 16 square cm
d. 6 square cm
A cylinder made of lead has a height of 4 inches and a diameter of 2 inches. How heavy is the cylinder if lead weighs 0.4 pound per cubic inch? Round to the nearest tenth.
Answer:5.0
Step-by-step explanation:
The volume of a cylinder is [tex]\pi r^2h[/tex], since the radius is 1/2D, 2/2=1. Now, if [tex]\pi[/tex] is rounded to 3.14, the volume of the cylinder would be 1 x 1 x 3.14 x 4 = 12.56. Now, since there are 0.4 pound per cubic inch, 12.56 x 0.4 = 5.024. Rounded to tenth, the answer is 5.0 or 5.
Hope this helps!
What is the volume of the cylinder below? 9- 7 - 5 OA. 1757 units3 B. 2257 units3 C. 357 units3 D. 70n units3
Answer:
175 pi ^3
Step-by-step explanation:
The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
Volume can be defined as a three-dimensional space enclosed by an object or thing.
As we know,
We can find the volume of the cylinder by using the given formula:
[tex]\rm V = \pi r^2 h[/tex]
The radius of the base r = 5 units
The height of the cylinder h = 7 units
[tex]\rm V = \pi (5)^2 (7)[/tex]
V = 25x7π
V = 175π cubic units
Or
V = 175π units³
Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.
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A car travels for 2 hours 15
minutes at an average speed
of 64 mph. Calculate the
distance travelled.
Answer:
231.746 km
Step-by-step explanation:
Formula: [tex]distance = speed[/tex] × [tex]time[/tex]
Solution: To solve for distance use the formula for distance
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
Firstly, convert the time from hours to minutes
2 hr 15 min = 2.25 hr
or 2.25 hr = 135 min
Now, use the formula:
135 × 64 = 8640
In km, the distance traveled is 231.74
which fraction is the smallest value
13/10
6/5
5/4
29/25
Answer:
29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)
Step-by-step explanation:
13/10 is 1.3
6/5 is 1.2
5/4 is 1.25
29/25 is 1.16
I'll give brainliest if u are right
Answer:
0.3
Step-by-step explanation:
A small toy car costs $3. A large toy car costs 5 times as much as the small one.
Aaron wants to buy one of each. Which equation can he use to find the cost (a)
of the two cars?
Answer:
(3 x 1) + (3(5) x 1) = a
Step-by-step explanation: