5 bombas deben trabajar durante 4 dias para llenar la piscina.
¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?Cada bomba trabaja a un rate (razon de trabajo) R.
Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:
(3R)*50 horas= 1 piscina.
R = (1 piscina)/(150 horas).
Es decir, una sola bomba tarda 150 horas en llenar una piscina.
En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.
5*((1 piscina)/(150 horas))*T = 1 piscina.
(1 piscina)/(30 horas)
Resolviendo para T, obtenemos:
T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.
Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:
30/8 = 3.75 ≈ 4 días.
5 bombas deben trabajar durante 4 dias para llenar la piscina.
Sí quieres aprender más sobre razones de trabajo.
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What is a variable in the expression below?
12+2.6z-2
A) z
B) 2.6
C) -2
A variable is a letter in the equation that can be replaced by a number.
In the equation shown the variable is the letter z.
Answer: A) z
The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).
Answer:
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.
Step-by-step explanation:
Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0
The two roots are
[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]
Hence the answer is D.
What is the solution of the system of equations?
your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0
so the point is 0,5
simplify 4y(4y-4)-4(-4y+5+4y2)
A triangle has sides with lengths of 2 centimeters, 4 centimeters, and 5 centimeters. Is it a right triangle?
PLEASE HELP
Answer:
NoStep-by-step explanation:
Use Pythagorean to verify:
2² + 4² = 5² 4 + 16 = 2520 = 25As we see the equation is not true, so the answer is no
Let's use Pythagorean theorem to verify
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]
[tex]\\ \sf\longmapsto 25=16+4[/tex]
[tex]\\ \sf\longmapsto 25\neq 20[/tex]
Not a right triangle
3) The recipe calls for 6 cups of flour for every 2 1/3 cups of sugar. How many cups of flour
are needed per cup of sugar?
Answer:
Im pretty sure its 3 cups
Step-by-step explanation:
Which represents discrete data? Question 17 options: A) The price of hamburger meat per pound B) The volume of water in a swimming pool C) The number of pens in a package D) The speed of a train
Answer: C
Step-by-step explanation:
The Number Of pen in a package.
Answer:
B
Step-by-step explanation:
The number of pins in package
2. Twenty machines can embroider 1000 sweaters in 5 days.
a. In how many days can 10 machines embroider the same 2000 sweaters?
b. How many machines would needed to embroider 5000 sweaters in 10 days?
Answer:
a) 20 days
b) 50 machines
The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:
Let the cost of 1 pencil be £x, and the cost of 1 eraser be £y. Write two linear equations in x and y:
Answer:
see explanation
Step-by-step explanation:
The 2 equations are
x + 2y = 8 → (1)
2x + 4y = 20 → (2)
Hey everyone! Need this question ASAP. Can anybody help me? (Look at photo)
Two relationships are described below: Relationship A: It took 2 people 12 hours to build a deck. It would have taken 3 people 4 hours to build the same deck. Relationship B: Jack earned $24 after 3 hours of work. Then, he earned $40 after 5 hours of work. Which statement is true about these relationships?
Answer:
im pretty sure its b but if its not then i apologise
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
Can someone answer this for me
Answer:
s=4
Step-by-step explanation:
area of square is side*side
so that means s*s=16
so s = 4
Unit #2 - Lesson #13 Exit Ticket: A tour company for large groups charges a one time fee of $200 plus an
additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let
n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers
of people who can go on the tour to make it profitable.
Answer:
200+25n>1650
Step-by-step explanation:
200 is the one time fee
25n for $25 per person
> because they must make more than 1650 to be profitable
Paul was thinking of a number. Paul adds 1.2 to the number the doubles the result to get an answer of 68.3. Form an equation with x from the information
Answer:
(x+1.2)2=68.3
Step-by-step explanation:
(x+1.2)2=68.3
A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t hours.
Complete the statement about the meaning of 65 in this situation.
The car travels_________ miles in ________ hour.
Step-by-step explanation:
10 1
20 miles car travel 65t hb
Can someone write the equation of the line that passes through the points ( -3, 2) and ( -1, 6)? I suck at math and need help.
Answer:
Y=2x+8
Step-by-step explanation:
Plot points on graph and connect with line. Find slope and y intercept
solve pls brainliest
Answer:
-3
Step-by-step explanation:
using pemdas, we first divide -18 by 6 to get -3. next, we subtract -3 from -6: -6-(-3)=-6+3=-3
Answer: -3
Step-by-step explanation:
For this, you want to use PEDMAS
This is Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction. The first step would be to divide -18/6. This will come out to -3
I need help with this problem no where on Brainly
Answer:
blue graph
Step-by-step explanation:
that graph looks similar to e^x
so f(-x) will be similar to e^-x
so it will be a reflection over y axis
see the picture below
What is the equation of this line in slope-intercept form? (-1,5) (1,-1)
y = 3x - 2
y = -1/3x + 2
y = -3x + 2
y = 3x + 2
Answer:
C
Step-by-step explanation:
y=-3x+2
What is the relationship between 2.57×104 and 2.57×10−1 ?
2.57×104 is
Choose:
100
1000
10,000
100,000
1,000,000
times
Choose:
Greater or Less
than 2.57×10−1 .
Answer:
2.57×104= 267.28
2.57×10-1= 24.7
Answer:
2.57x10^4 is 100,000 Greater that 2.57x10^-1
Step-by-step explanation:
2.57x10^4 has a power by 4 which means
10^4 = 10,000
and 2.57x10^-1 has a power by -1 which means
10^-1 = 0,1
therefore 2.57x10^4 is 100,000 Greater that 2.57x10^-1
A triangle has side lengths of (9d+ 4) centimeters, (9d + 2) centimeters, and (3f - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Perimeter is the sum of the 3 sides.
Add the 3 sides together by combining like terms.
9d +4 + 9d+2 + 3f -2
9d+9d = 18d
4 + 2-2 = 4
Combining like terms you get:
18d +3f +4
PLEASE HELP PLEASEEEE
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex] - {x}^{3} - 3 {x}^{2} + 4x[/tex]The sum of two numbers is eight one number is four less than the other find the numbers
Step-by-step explanation:
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Answer: The answer is 6 and 2
Step-by-step explanation:
X is first number, Y is second
x + x - 4 = 8
2x = 12
x = 6
Y = x - 4
Y = 6 - 4
Y = 2
x = 6
Y = 2
a coin is flipped 3 times and lands on heads each time. What is the probability of it landing on tails on the fourth flip?
Answer:
1/4
Step-by-step explanation:
since the dice would be rolled 4 times, and the dice rolled heads 3 times, the probability of the coin land8ng of tail on the 4th flip is 1/4
The probability of it landing on tails on the fourth flip will be 1/4.
What is probability?
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that a coin is flipped 3 times and lands on heads each time. The probability of getting head on the fourth flip will be:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = tails = 1
Number of samples = 4
Probability = 1 / 4
Therefore, the probability of it landing on tails on the fourth flip will be 1/4.
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In which quadrant does the angle t lie if tan(t)>0 and cos(t)<0?
A) II
B) IV
C) Cannot be determined
D) III
E) I
Quadrant is a quarter of a coordinate plane
The location of angle t is in quadrant 3
The trigonometry equations are given as:
tan(t)>0 and cos(t)<0
The cosine of an angle is negative in the following quadrants
Quadrant 2Quadrant 3The cosine of an angle is positive in the following quadrants
Quadrant 3The intersection of the above points is quadrant 3
This means that the angle is in quadrant 3
Hence, the true option is (D) III
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There are 2 pigs, 3 chickens, 4 cows and 5 ducks on a farm. If the farmer wants 3 animals
for a play but only needs one two-legged animal, how many ways can he choose the three animals?
Answer:
6 ways
Step-by-step explanation:
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
The farmer can choose the animal in 6 ways as per different combinations.
Solution to the above problem
The different combinations can be written as follows:
nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time
Since we want 3 animals we can make different pairs as listed below
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
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In the figure below, BD and AC are diameters of circle P.
What is the arc measure of minor arc DC in degrees?
Answer: 19
Step-by-step explanation:
2 lines crossing create 2 pairs of equal angles. The opposite angles are the same. Same goes in a circle.
9514 1404 393
Answer:
arc DC = 19°
Step-by-step explanation:
The acute central angles are vertical angles, so have the same measure. Vertical angles with the same measure intercept arcs with the same measure. The measure of the arc is the measure of the central angle it subtends.
Arc AB = Arc DC = 19°
Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?
Answer:
$34
Step-by-step explanation:
374/11=34
Answer:
One ticket cost $34
Step-by-step explanation:
Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34
A class of 22 students has taken an exam, and the mean of their scores is 76.5. One student takes the
exam late, and scores 92. After including the new score, what is the mean score for all 23 exams? Round
to the nearest hundredth.