1) If 3 out 5 students play sports at school, how many students play
sports if there are 720 students?
Answer:
432
Step-by-step explanation:
On circle O below, the measure of SV is 120°.
pes
What is the measure of VU?
1
N
1
chord it
3 of 4
ar
The measure of angle VU is 240°.
Given that arc SV has a measure of **120°** and angle STV is **82°**, we can find the measure of angle VU.
1. The central angle STV is equal to the measure of arc SV. Therefore, ∠STV = 120°.
2. The sum of angles around a point (360°) is equal to the sum of the central angle and the inscribed angle. So, ∠VU + ∠STV = 360°.
3. Solving for ∠VU:
- ∠VU + 120° = 360°
- ∠VU = 360° - 120°
- ∠VU = 240°
Therefore, the measure of angle VU is 240°.
At Keller's Bike Rentals, it costs $22 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar?
Answer:
$5.5 per hour
Step-by-step explanation:
You divide the cost by the number of hours
Answer:
About 10 minutes, which is 1/6 of an hour.
Step-by-step explanation:
Solve simultaneous equation
X-2y=1
2x-y=2
Answer: x=1,y=0
Step-by-step explanation:
X-2y=1.....equation 1
2x-y=2.....equation 2
X=1+2y.......equation 3
Substitute equation 3into 2
2(1+2y)-y=2
2+4y-y=2
2+3y=2
3y=2-2
3y=0
Y=0/3
Y=0
Substitute for y=0 in equation 1
X-2y=1
X-2(0)=1
X-0=1
X=1
X=1 & Y=0
Answer:
x=1
y=0
Step-by-step explanation:
Part C: YX = 24 meters and mYX = 120 degrees , then determine the radius of circle H.
Answer: The radius is 11.5 meters (to the nearest tenth)
Step-by-step explanation: The circle with center H has an arc TX that measures 24 meters, and also the angle subtended by YX equals 120°.
The length of an arc is given b the formula;
Length of arc = (∅/360) x 2πr
Where the length of the arc is 24 and ∅ is 120, the formula becomes;
24 = (120/360) x 2(3.14) r
24 = (1/3) x 6.28 r
By cross multiplication we now have,
(24 x 3)/6.28 = r
72/6.28 = r
11.4649 = r
r ≈ 11.5
Therefore, the radius is approximately 11.5 meters
On a coordinate plane, the x-axis is labeled Side length and the y-axis is labeled Perimeter or area. A line representing the perimeter goes through points (0, 0), (1, 4), (2, 8), (3, 12). A curved line representing the area goes through points (0, 0), (2, 4), (3, 9), and (4, 16).
Andrew wants to build a square garden, and needs to determine how much area he has for planting. The perimeter of the garden is between 12 and 14 feet. What is the range of the possible areas?
3 ft2 and 4 ft2
9 ft2 and 12.25 ft2
12.25 ft2 and 14 ft2
14 ft2 and 16 ft2
Answer: 9ft² and 12.25ft²
Step-by-step explanation:
The range of the possible areas will be 9 square feet and 12.25 square feet. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
On a coordinate plane, the x-axis is labeled Side length and the y-axis is labeled Perimeter or area.
A line representing the perimeter goes through points (0, 0), (1, 4), (2, 8), (3, 12).
Then the equation of line will be
y = [(12 – 8) / (3 – 2)]x
y = 4x
A curved line representing the area goes through points (0, 0), (2, 4), (3, 9), and (4, 16).
y = x²
Andrew wants to build a square garden, and needs to determine how much area he has for planting.
The perimeter of the garden is between 12 and 14 feet.
Then the value of the side length corresponding to 12 and 14 will be
For y = 12, we have
12 = 4x
x = 3
Then the area will be
y = 3²
y = 9 square feet
For y = 14, we have
14= 4x
x = 3.5
Then the area will be
y = 3.5²
y = 12.25 square feet
Then the range of the possible areas will be 9 square feet and 12.25 square feet.
Then the correct option is B.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation?
Answer:
The image will be congruent to the pre-image because n = 1.
Answer:
Awsner number 2
Step-by-step explanation:
You have a $500 public relations budget for the current year. You would like to generate publicity by publishing several ads in the local township newspaper about your store's sponsorship of community activities. The newspaper normally charges $75 per ad but will give you a 20% discount since your message is community service-oriented. How many ads can you buy?
Answer:
8 ads
Step-by-step explanation:
To start off, we know we have a budget of $500 which means we cannot go above that amount. Ads cost $75 each but in our case they are now 20% cheaper. Lets figure out the new price of the ads. Remember to change 20% into its decimal form (20% -> 0.2)
75 x 0.2 = 15
Now we subtract 15 from 75 to get our new ad price.
75 - 15 = 60
Now to figure out how many ads we can get with a budget of $500, we simply divide 500 by 60. Don't forget to round the answer to the nearest whole number since we cannot go over our budget.
500 / 60 = 8 ads
how to factor 15x-7x-2
Which of these equations have no solution? Check all that apply.
2(x + 2) + 2 = 2(x + 3) + 1
2x + 3(x + 5) = 5(x – 3)
4(x + 3) = x + 12
4 – (2x + 5) = (–4x – 2)
5(x + 4) – x = 4(x + 5) – 1
Answer: 2(x + 2) + 2 = 2(x + 3) + 1
Steps:
2x + 6 = 2x + 7
Subtract 6 from both sides
2x + 6 - 6 = 2x + 7 - 6
Simplify
2x = 2x + 1
Subtract 2x from both sides
2x - 2x = 2x + 1 - 2x
Simplify
0 = 1
The sides are not equal.
NO SOLUTION
Answer:
1, 2, and 5
Step-by-step explanation:
Yo girl needs help please
Answer:
13
Step-by-step explanation:
f(x) = 10/2 + 8 = 5 + 8 = 13
Look at the attached picture⤴
Hope it will help u...
Arnold took out a loan of 195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
25155000
Step-by-step explanation:
we know intrest (i):-PTR/100by formula
195000×30×4.3%100
2. 5850000×4.3
100
100
3. 25155000
Arnold will have to pay $689546.98 after 30 years of taking out a loan.
What is compound interest?The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
The given problem is the case of compound interest.
The values for different parameters are as follows,
P = 195000
r = 4.3%
And t = 30 years
Now, substitute all the corresponding values in the expression for amount given below as,
A = P(1 + r/100)ⁿ
= 195000(1 + 4.3/100)³⁰
= 689546.98
Hence, the total amount to be paid after 30 years is given as $689546.98.
To know more about compound interest click on,
https://brainly.com/question/14295570
#SPJ3
Find the sum of the first 25 terms in this geometric series:
8 + 6 + 4.5...
Step-by-step explanation:
Given the geometric sequence
8 + 6 + 4.5...
A geometric sequence has a constant ratio and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{6}{8}=\frac{3}{4},\:\quad \frac{4.5}{6}=\frac{3}{4}[/tex]
[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]
[tex]r=\frac{3}{4}[/tex]
[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]
[tex]a_1=8[/tex]
[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]
[tex]a_n=8\left(\frac{3}{4}\right)^{n-1}[/tex]
[tex]\mathrm{Geometric\:sequence\:sum\:formula:}[/tex]
[tex]a_1\frac{1-r^n}{1-r}[/tex]
[tex]\mathrm{Plug\:in\:the\:values:}[/tex]
[tex]n=25,\:\spacea_1=8,\:\spacer=\frac{3}{4}[/tex]
[tex]=8\cdot \frac{1-\left(\frac{3}{4}\right)^{25}}{1-\frac{3}{4}}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=\frac{\left(1-\left(\frac{3}{4}\right)^{25}\right)\cdot \:8}{1-\frac{3}{4}}[/tex]
[tex]=\frac{8\left(-\left(\frac{3}{4}\right)^{25}+1\right)}{\frac{1}{4}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]=\frac{8\left(-\frac{3^{25}}{4^{25}}+1\right)}{\frac{1}{4}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]=\frac{\left(1-\frac{3^{25}}{4^{25}}\right)\cdot \:8\cdot \:4}{1}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:4=32[/tex]
[tex]=\frac{32\left(-\frac{3^{25}}{4^{25}}+1\right)}{1}[/tex]
[tex]=\frac{32\cdot \frac{4^{25}-3^{25}}{4^{25}}}{1}[/tex] ∵ [tex]\mathrm{Join}\:1-\frac{3^{25}}{4^{25}}:\quad \frac{4^{25}-3^{25}}{4^{25}}[/tex]
[tex]=32\cdot \frac{4^{25}-3^{25}}{4^{25}}[/tex]
[tex]=\frac{\left(4^{25}-3^{25}\right)\cdot \:32}{4^{25}}[/tex]
[tex]=\frac{2^5\left(4^{25}-3^{25}\right)}{2^{50}}[/tex] ∵ [tex]\mathrm{Factor}\:32:\ 2^5[/tex], [tex]\mathrm{Factor}\:4^{25}:\ 2^{50}[/tex]
so
[tex]=\frac{4^{25}-3^{25}}{2^{45}}[/tex] ∵ [tex]\mathrm{Cancel\:}\frac{\left(4^{25}-3^{25}\right)\cdot \:2^5}{2^{50}}:\quad \frac{4^{25}-3^{25}}{2^{45}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a\pm \:b}{c}=\frac{a}{c}\pm \frac{b}{c}[/tex]
[tex]=\frac{4^{25}}{2^{45}}-\frac{3^{25}}{2^{45}}[/tex]
[tex]=32-\frac{3^{25}}{2^{45}}[/tex] ∵ [tex]\frac{4^{25}}{2^{45}}=32[/tex]
[tex]=32-0.024[/tex] ∵ [tex]\frac{3^{25}}{2^{45}}=0.024[/tex]
[tex]=31.98[/tex]
Therefore, the sum of the first 25 terms in this geometric series: 31.98
Ana's class packs lunches for the local shelter. They make the same number of sandwiches each minute. In 5 minutes, the class makes 20 sandwiches. At this rate, how many sandwiches does the class make in 32 minutes?
Answer: 128
Step-by-step explanation:
What is the lateral surface area?
please help me if you can thank you :)
Answer:
lateral surface area means surface area of vertical walls.
there are 3 vertical walls and each is a rectangle.
hence
lateral surface area = 3 × area of one wall
= 3× ( 8×5 )
= 3 × 40
= 120 square units
Kayla wants to purchase some new clothes for the school year and has a budget of $200. The sales tax rate that will apply when she makes her purchases is 7%. Here are the items she wants to purchase:
2 T-shirts, $9.98 each
1 pair of pants, $25.99
3 dresses, $24.99 each
1 pair of shoes, $89.99
Kayla’s budget be enough to purchase all of the clothing items listed after sales tax is applied because the total will be .
Answer:
Kayla will not have enough because the total will be $225.67
Step-by-step explanation:
2 * 9.98 = 19.96
3 * 24.99 = 74.97
19.96 + 25.99 = 45.95
45.95 + 74.97 = 120.92
120.92 + 89.99 = 210.91
0.07 * 210.91 = 14.76
210.91 + 14.76 = 225.67
Kayla will not have enough because the total will be $225.67
Calculation of the total balance:Since there is a budget of $200. The sales tax rate is 7%
Also, the following items should be purchased
2 T-shirts, $9.98 each
1 pair of pants, $25.99
3 dresses, $24.99 each
1 pair of shoes, $89.99
So, the calculations should be
2 of 9.98 = 19.96
3 of 24.99 = 74.97
Now the total should be
19.96 + 25.99 = 45.95
45.95 + 74.97 = 120.92
120.92 + 89.99 = 210.91
0.07 of 210.91 = 14.76
And, finally
210.91 + 14.76 = 225.67
Therefore, Kayla will not have enough because the total will be $225.67
Learn more about tax here: https://brainly.com/question/23763982
Which two angles are supplementary?
There are only two angle measures here, an angle, a bunch of congruent copies, and its supplement, with a bunch of congruent copies.
∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7 are all supplementary to ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8
perform the operation (-3-2i)-(3+i)
Answer:
- 6 - 3i
Step-by-step explanation:
Given
(- 3 - 2i) - (3 + i) ← distribute both parenthesis
= - 3 - 2i - 3 - i ← collect like terms
= - 6 - 3i
When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 12 people and the cost per person was $20. If the number of people changed to 6, what would be the new cost per person?
Answer:
40
Step-by-step explanation:
On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map.
Answer:
The distance in miles that the cities are apart is 40 miles
Step-by-step explanation:
To get from 1 inch to 8 inches, you multiply by 8. This means you multiply 5 miles by 8 to get 40 miles.
Answer:40 miles
Step-by-step explanation:
because 1 inch is 5 miles and the cities are 8 miles apart so 8x5=40.
2^5x=6 rounded to the nearest hundredth
I think that the answer would be 0.52 if you round it
To find the maximum amount of water it takes to fill a rectangular fish tank, you need to know the
A.volume of the fish tank.
B.surface area of the fish tank.
C.area of the bottom of the fish tank.
D.perimeter of the bottom of the fish tank.
Answer:
answer is a
Step-by-step explanation:
the volume is everything on the inside of the tank
surface area would only be the amount of water it take of cover one side
area would just be the size of the glass on bottom
the perimeter would just be the length of all four edges of each side of the fish tank
For the maximum amount of water it takes to fill a rectangular fish tank, we need to know the volume of the fish tank.
Option A is the correct answer.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The volume of any container gives us the maximum amount the container can hold.
Now,
For the maximum amount of water it takes to fill a rectangular fish tank, we need to know the volume of the fish tank.
Thus,
The volume of the fish tank gives us the maximum amount it can hold.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ3
which statement explains the difference between the graph of f(x)=2x3 - 8x +3 and g(x)=x3 -4x
Answer:
what are the statements lol
Step-by-step explanation:
A rectangle has a height of 7 and a width of 2x² –3. Expression should be expanded
14x^2 -21
[tex]width: 2x^2-3\\height:7\\S=7(2x^2-3)\\S=14x^2-21[/tex]
1. In a small town, there are 83 clinics serving the population of 24,742. Each clinic serves
about __________ of the town’s population.
a. 200 b. 250 c. 300
Answer:
each clinic serves about 300 people
Step-by-step explanation:
Population of 24742 is served by 83 clinics
Then each clinic will serve
24742/83 =298.157
≈ 300
Answer:
c. 300
Step-by-step explanation:
24,742/83
298.0963855
Approximately 300
2 (r - 3) - 5(r + 2)
Answer:
-3r -16
Step-by-step explanation:
2 (r - 3) - 5(r + 2)
Distribute
2r-6 - 5r - 10
Combine like terms
-3r -16
Which of the following is a solution to the inequality below?
10 − 12p > 41
A. p=12
B. p=7
C. p=11
D. p=-11
Answer:
The solution is D, -11.
Step-by-step explanation:
On Your Own
phone store makes $15 per hour plus a commission
cales This week she sold 40 phones averaging $450
4. An employee at a cell phone store makes $15
of 2.5% of her phone sales. This week she sold
each. What is her commission this week?
(i need the explanation)
An employee at a cell phone store sold 40 phones for $450 each, totaling $18,000 in sales. Based on her commission rate of 2.5%, she earns $450 in commission for the week.
Explanation:The subject of this question is how to calculate the employee's commission based on her sales. First, we need to calculate the total sales the employee made. She sold 40 phones at $450 each, so her total sales would be 40 * $450 = $18,000.
Next, we need to figure out what 2.5% of her total sales is because this is her commission rate. The calculation would be $18,000 * 2.5/100 = $450.
So, the employee's commission for this week is $450.
Learn more about Commission Calculation here:https://brainly.com/question/6615293
#SPJ3
For the following equation, what are the solutions?
x^2+16=0
-
How many X-intercepts have quadratic functions with complex roots?
Answer:
x=√-16
Step-by-step explanation:
Since x^2+16=0
Substrate 16
X^2=-16
Square root of both sides
X=√-16
So therefore the final answer is
X=√-16
what is the point-slope form of a line thats has a slope of-4 and passes through point (-3,1)
Answer:
y - 1 = -4(x+3)
Step-by-step explanation:
We will use the point slope form of a line
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - 1 = -4(x--3)
y - 1 = -4(x+3)