Step-by-step explanation:
[tex]75- caps ----------- 1 minute\\3000 caps ------------x - minutes\\\\Cross-Multiply\\75x = 3000 \times 1\\75x = 3000\\\frac{75}{75} =\frac{3000}{75} \\\\x = 40 minutes[/tex]
Un ciclista debe realizar una ruta a través de una carretera para ir desde una ciudad A hasta una ciudad B en varios tramos. El primer tramo mide dos tercios del tercer tramo, el segundo tramo es dos veces mayor que el tercer tramo y el cuarto tramo tiene la medida del primero más el segundo. Si el último tramo es de 80 km, ¿cuál será la distancia total recorrida de la ciudad A hasta la ciudad B?
Respuesta:
190 km
Explicación paso a paso:
Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:
a = 2/3*c
b = 2*c
d = a + b
Ahora bien sabemos que d = 80, reemplazamos y nos queda:
80 = a + b
tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:
80 = 2/3*c + 2*c
80 = 8/3*c
c = 80*3/8
c = 30
ahora calculamos tanto a como b:
a = 2/3*30 = 20
b = 2*30 = 60
Ahora, el recorrido total es la suma de todos los tramos:
Total = a + b + c + d
Total = 20 + 60 + 30 + 80 = 190
Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km
Which of the following has a solution set of {x | x = 0}?
(x +1<-1) n (x + 1< 1)
(x + 1= 1) n (x + 1 > 1)
(x +1<1) n (x + 1 > 1)
The reason why I'm not entirely sure is because of a potential typo. See below.
Let's go through each answer choice
------------
Choice A
Solve each inequality for x
x+1 < -1 becomes x < -2 after subtracting 1 from both sides
x+1 < 1 becomes x < 0 after subtracting 1 from both sides
We have {x < -2} intersected with {x < 0}. The overlap is x < -2. I recommend using a number line diagram to see how the overlap is working. Basically we're looking for numbers that are both less than -2 AND also less than 0. That simplifies to numbers less than -2 (as anything less than -2 is already smaller than 0).
A number like x = -10 is in the solution set of {x < -2}, but we just wanted 0 and only 0 to be in the solution set. So we can rule out choice A.
------------
Choice B
Solve each for x
x+1 = 1 becomes x = 0
x+1 > 1 becomes x > 0
This is a contradiction as we're talking about numbers that are 0 itself and larger than 0 at the same time. No such number exists. Effectively, these two sets cannot be combined to make anything meaningful. In other words, the solution set here is the empty set. For this reason, we can rule out choice B
------------
Choice C
Again we solve each for x
x+1 < 1 becomes x < 0
x+1 > 1 becomes x > 0
This is also the empty set because there are no numbers both smaller than 0 and larger than 0 at the same time.
If we had "or equal to" as part of the inequality sign, then [tex]x+1 \le 1[/tex] solves to [tex]x \le 0[/tex], while [tex]x+1 \ge 1[/tex] solves to [tex]x \ge 0[/tex]. Combining both [tex]x \le 0[/tex] and [tex]x \ge 0[/tex] will yield exactly one item, and that is [tex]x = 0[/tex]
It seems like your teacher meant for this to be the answer and that there is a typo. Of course, its best to ask him/her about this directly.
which one is cheaper and why A bag of 3 kg potatoes for $3.49, or a bag of 5 kg potatoes for $4.99
Answer:
a bag of 5 kg potatoes for $4.99
Step-by-step explanation:
estimated $5.00 for 5 kg
5.00/5 = $1.00 per kg
3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?
Answer:
15
Step-by-step explanation:
1 is neither prime nor composite
2 is the smallest prime
3 is the next smallest prime
5 is the next smallest
but 2,3,5 do not make a triangle
The third side must be smaller than the sum of the other two
2+3 <5 not equal to
7 is the next prime
3,5,7 are the three sides of the triangle
P = 3+5+7
P = 15
Question 2 Part A Use your responses to the previous questions, as well as your economic knowledge and terminology, to compose two well-written paragraphs that respond to the following question: What is the potential impact on the South African communities local economy from the game reserves investment in the clinic? Be sure to use these concepts in your writing: human capital health care PPC GDP infrastructure Your paragraphs should include a topic sentence as well as introductory and concluding sentences.
Answer: The game reserve’s investment in the clinic has the power to transform the rural South African community shown in the video. The game reserve is an important source of income for the community. The money from the reserve benefits the community by facilitating the building of infrastructure, such as schools and child-care facilities. These operations in turn generate employment.
The game reserve and the schools require a workforce and human capital. However, the workforce in the rural area is vulnerable to deadly diseases because of the HIV epidemic and poor sanitation. By investing in a mobile clinic and giving free medical treatment to those in the community, the game reserve can nurture its human capital and extend life expectancy in the area. If people are healthy and educated, they can work, be productive, and participate in community development. By protecting the workforce from death and disease, the game reserve can drive economic growth.
Step-by-step explanation:
Answer:
The investment for the game reserve is in the center and has the ability to change the country, South African people group appeared in the video. The game hold is a significant type of revenue for the local area. The cash from the hold benefits the local area by encouraging the structure of framework, for example, schools and kid care offices. These activities thus produce business.
The game reserve and also schools require a labor force and human resources. Notwithstanding, the labor force in the country territory is defenseless against destructive sicknesses due to the HIV pandemic and helpless disinfection. By putting resources into a portable facility and giving free clinical treatment to those locally, the game hold can support its human resources and broaden future nearby. On the off chance that individuals are sound and taught, they can work, be beneficial, and partake in local area improvement. By shielding the labor force from death and infection, the game hold can drive financial development.
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
I hope it will help you ...
Answer: 108 units squared
Step-by-step explanation:
24 x 1 = 24
7 x 24 = 168
168 / 2 = 84
84 + 24 = 108
The answer is 108 units squared
Suppose you were deciding on a ticket price for a fundraiser dinner. There may be a temptation to continue to raise the ticket sales to increase the amount of money raised. Sounds like an okay idea to raise the most money possible for a charity. You may have heard of a guest speaker at a fundraising dinner where people are charged $100 a plate or more. What do you think is a realistic price for tickets? What are the consequences of raising the price $50 or $100 to $150 a plate or $200 a plate.
Answer:
$50 per ticket.
Step-by-step explanation:
Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.
The more you raise the price, the less tickets you can sell.
Hope this helps!
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
y<-1/3x +3
y>3x+2
Answer:
Option (A)
Step-by-step explanation:
From the graph attached,
y ≤ [tex]-\frac{1}{3}x+3[/tex]
This inequality representing the dark line having y-intercept as 3 will have the solution area represented by the shaded region below the line (b and C)
Another inequality, y ≥ 3x + 2 representing a dark line having y intercept 2.
This inequality will have the solution area represented by shaded region on the left of the line (A and D)
Therefore, solution to the system of inequalities will be the common area (D).
Option (A) will be the answer.
Suppose a company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014. Suppose that product sales for 2013 were 2,000,000(which include free maintenance in 2013) and 75% of those were expected to pay annual maintenance of 10% of the purchase price in 2014. What will be the annual maintenance collected in 2014?
Please help me. I'll mark the best answer brainiest- just HALPPP
Answer:
$1,750,000
Step-by-step explanation:
The company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014.
That will result in annual maintenance of:
(80 / 100) * 2000000 = $1,600,000
The product sales for 2013 were 2,000,000 (which include free maintenance in 2013) and 75% of those were expected to pay annual maintenance of 10% of the purchase price in 2014.
That will result in annual maintenance of:
(75 / 100) * (10 / 100) * 2000000 = $150,000
Therefore, the total annual maintenance will be:
$1600000 + $150000 = $1,750,000
The following box plot shows points awarded to dance teams that competed at a recent competition:
Answer:
top plot
Step-by-step explanation:
From the box and whisker plot, the smallest data point is 0 and the largest data point is 100
The median is 70
The only plot that has points at 0 and 100 is the first plot
What is the answer of .7 of which is 3.43
Answer:
4.9
Step-by-step explanation:
3.43/0.7
34.3/7=49
3.43/0.7=4.9
The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.
We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.
We represent "0.7 of x" as 0.7x.
So, the equation becomes:
0.7x = 3.43
To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:
(0.7x) / 0.7 = 3.43 / 0.7
The 0.7 on the numerator and denominator cancel out, leaving us with just x:
x = 3.43 / 0.7
Now, we perform the division:
x = 4.9
The value of x is approximately 4.9.
Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ4
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57
Answer:
34%
Step-by-step explanation:
According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.
Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.
Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 = 34%.
if x= 3y-2/4, what is the value of y in terms of x?
Answer:
[tex]x = \frac{3y - 2}{4} [/tex]
Multiply through by 4
We have
[tex]3y - 2 = 4x[/tex]
Send 2 to the right side of the expression
That's
[tex]3y = 4x + 2[/tex]
Divide both sides by 3
That's
[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]
We have the final answer as
[tex] y = \frac{4x + 2}{3} [/tex]
Hope this helps you
Answer:
[tex]y = \frac{4x + 2}{3} [/tex]
Step by step explanation
[tex]x = \frac{3y - 2}{4} [/tex](Given)
Multiply by 4 on both sides:
[tex]4 \times x = \frac{3y - 2}{4} \times 4[/tex]
Calculate
[tex]4x = 3y - 2[/tex]
Add 2 on both sides
[tex]4x + 2 = 3y - 2 + 2[/tex]
[tex]4x + 2 = 3y[/tex]
[tex]3y = 4x + 2[/tex]
Divide both sides of the equation by 3
[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]
Calculate
[tex]y = \frac{4x + 2}{3} [/tex]
Hope this helps...
Good luck on your assignment..
what is the answer? The 8x-1x confused me.
10+ 8x -1x
Answer:
7x + 10
Step-by-step explanation:
10 + 8x - 1x
Add or subtract like terms.
10 + (8 - 1)x
10 + (7)x
Rearrange.
7x + 10
Answer:
7x+10
Step-by-step explanation:
start by rewriting the problem
10+8x-1x
now, you can subtract 8x from 1x, because they are like terms
10+7x
arrange the terms
7x+10
now, that is your final answer!
-5(-9-7x)
Please help this so very confusing to me and I need to pass
Answer:
45 + 35x
Step-by-step explanation:
To simplify
multiply the outside number by the inside
also, the negative and the negative multiply together to make a positive number.
Answer:
35x + 45
Step-by-step explanation:
-5(-9 - 7x)
Distribute or expand the brackets.
-5(-9) - 5 (-7x)
45 + 35x
pls help me with trig! i would rlly appreciate it
Answer:
(4 root 2)/9
Step-by-step explanation:
Sin=opp/hyp
Sin=root 32/9
4 root 2/9
Answer:
sin theta = 4 sqrt(2) / 9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
We need to find the opposite side using Pythagorean theorem
a^2 + b^2 = c^2
b^2 = c^2 - a^2
b = sqrt( c^2 - a^2)
b = sqrt(9^2 - 7^2) = sqrt(32) = 4 sqrt(2)
sin theta =b/c
sin theta = 4 sqrt(2) / 9
Hi please help me I'm confused
If 8% of a number is 4, what is 12% of a number? Explain your reasoning.
Answer:
6
Step-by-step explanation:
The easiest way of solving this is to divide 8% of the number into a % that is divisible by 12.
This is 4%.
So if 8% of the number is 4, then 4 percent is half of 4, that is 2.
Now we convert 4% into 12% thus making it 6
Hope this helps
A more complicated way of doing this, but most reliable is to work out what the number is .
For now let number be y.
8/100 x y = 4
8y/100 = 4
8y= 400
y = 50.
Now calculate 12% of 50.
This is
12/100 x 50 = 6
Hope this helps.
im having trouble with this :(
Point M divides line segment AB, in the direction from A to B, in a ratio of 5 to 3. What value on the number line would indicate the location of point M? A = --6, B = 3
Answer:
The coordinates of point M is -0.375.
Step-by-step explanation:
Given that point A = -6 and point B = 3
Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;
Length from A to M = 5/(5 + 3) × Length of segment AB
Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;
Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625
Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8
The coordinates of point M = -0.375.
Identify the system of inequalities from the following. 3x + y > 2 and 3y 2 and 3y 2 and 3y < 9 4x + y = 2 and 3y < 2m
Answer:
The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m
Can any of y’all help me with this problem?
Answer:
90º clockwise rotation
Step-by-step explanation:
The rotation is a 270º counterclockwise rotation, since 270º rotation is
(x, y) → (y, -x)
F(1, 3) → (3, -1)
270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.
If m<1=45 then what is the measure of <2
HELP!!!
Hey there! :)
Answer:
m∠2 = 135°.
Step-by-step explanation:
∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:
m∠2 = 180 - m∠1
m∠2 = 180 - 45
m∠2 = 135°.
Please answer please please
Answer: T
Step-by-step explanation: The vertex is where the two lines meet at the endpoint, meaning that the vertex is always where the lines begin to spread out.
Please answer it in two minutes
Answer:
21/20, or 1.05.
Step-by-step explanation:
In this case, the measure of angle R is the same as angle V.
To find the tangent of a triangle, you do opposite over adjacent.
So, the tangent of angle V is 21 / 20.
That means that tan(R) = 1.05.
Hope this helps!
Can I get the awnser to this please?
Answer:
151.320046 m^2
150 m^2
Hope it helped!!!!!
Step-by-step explanation:
Area of the circle is:
pi * r^2
Therefore:
= pi * 17^2
= 289 * pi
Now Area of the sector:
= 289 * pi * (60/360)
= 289 * pi * 1/6
= 48.1666667 * pi
= 151.320046 m^2
= 150 m^2 (rounded)
which of the following sum in simplest form (radicals)
Answer:
9√2
Step-by-step explanation:
Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.
Answer:
9√2Option C is the correct option.
Solution,
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]
Hope this helps...
Good luck on your assignment..
In your own words, tell how geometric sequences are related to exponential functions. Share your answer with the rest of the group.
Answer:
Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.
Step-by-step explanation:
Write area square units answer
The rectangle is 13 units long by 6 units wide.
Area = Length x width
Area = 13 x 6 = 78 square units.
Please answer ASAP! (I'll give brainliest and no need for explanation!)
Answer:
Median=3, Mean=2.333
Step-by-step explanation:
Eight people rob a bank: * By what percent does the share of three robbers increase?
Answer:
Step-by-step explanation:
It increase by 2.3