Answer:
Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.
Step-by-step explanation:
Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:
Cantidad inicial de vacas
[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]
[tex]x = 84[/tex]
Habían inicialmente 84 vacas.
Cantidad de vacas muertas
[tex]y = \frac{3}{7}\cdot x[/tex]
[tex]y = 36[/tex]
Murieron 36 vacas.
Cantidad de vacas vendidas
[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]
[tex]z = 24[/tex]
24 vacas fueron vendidas.
Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?
Answer:
0.60 more
Step-by-step explanation:
Sandwich: 1.25
Milkshake: 0.65
We need to find the difference between the 2
1.25 - 0.65 = 0.6
A sandwich costs 60 cents MORE than a milkshake
The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need
Answer:
B 50
Step-by-step explanation:
Option 1) 2/5 = 20/x | 20/2 = 10 so x = 10 | 5 times x 10 =50
Option 2) dogs 2 to cats 5 | 2/5 = 20/x | .40 = 20/x | .40x = 20 | x = 50
Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50
Plz help me this very important
D = L ( m/k + v^2/25)
Make v the subject of the formula.
Answer:
Answer and steps in picture.
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
a^2 + b^2 = c^2
Let c = hypotenuse = 2x
One of the legs = x. Let a or b = x.
I will let a = x. We can then say that b = 3.
3^2 + x^2 = (2x)^2
9 + x^2 = 4x^2
9 = 4x^2 - x^2
9 = 2x^2
9/2 = x^2
sqrt{9/2} = sqrt{x^2}
3/sqrt{2} = x
Rational denominator.
[3•sqrt{2}]/2 = x = a
Side 3 is given to be 3 feet. So, b = 3.
Hypotenuse = 2x
Hypotenuse = 2([3•sqrt{2}]/2)
Hypotenuse = 3•sqrt{2}
Understand?
The three sides are 3, [3•sqrt{2}]/2 and
3•sqrt{2}.
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
2√3
Step-by-step explanation:
Given the following information,
Long = 3 = Adjacent
Angle of elevation =30 degrees
Required
Hypotenuse
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos 30 = 3/hyp
hyp = 3/cos30
hyp = 3/√3/2
hyp = 3* 2/√3
hyp = 6/√3
hyp = 6/√3 * √3/√3
hyp = 6√3/3
hyp = 2√3
Hence the hypotenuse is 2√3
Answer:
2v3
Step-by-step explanation:
What is the area of the triangle?
Answer:
11 ½ * 4* 5.52 *5.5=11.....….please help me i can't figure this out
A 6 meters per second
B 5 meters per second
C 4 meters per second
D 7 meters per second
Answer:
B 5 meters per second
Step-by-step explanation:
Pick two points on the graph, and find the slope.
For example, you can use the points
(0, 8500) and (1700, 0)
slope = (difference in y)/(difference in x)
slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5
The slope is negative because the plane was losing altitude as it descended.
It descended at a rate of 5 meters per second.
Answer: B 5 meters per second
Answer:
B. 5 meters per second
Step-by-step explanation:
slope=8500÷1700=5
Plane descended at the rate of 5 meters per second.
hope it helps
have a great day!!
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
Write the equation in standard form for thelcircle with center (-8, -1) and radius 4
9514 1404 393
Answer:
(x +8)^2 +(y +1)^2 = 16
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)^2 + (y -k)^2 = r^2
For your center and radius, the equation is ...
(x -(-8))^2 +(y -(-1))^2 = 4^2
(x +8)^2 +(y +1)^2 = 16
Solve these equations.
Answer:
no solution
Step-by-step explanation:
|x-33| = -33
An absolute value must be greater than or equal to zero
The right hand side is a negative number.
There is no solution
Answer:
No solution
Step-by-step explanation:
When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution
RM 74.97 is reduced for an item priced at RM 249.90. Find the percentage of a discount.
A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?
Answer:
10.47 inches
Step-by-step explanation:
circumference = πD = 3.14(20) = 62.8 inches
62.8 inches/6 spaces = 10.47 inches per space
When two graphed lines are Parallel what kind of solution is it?
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Step-by-step explanation:
Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.
Kylie randomly sorts 40 subjects into two groups. The 20 subjects in one group are given five minutes to memorize a list of words while background music is playing. The 20 members of the other group perform the same task without any background noise. Afterward, Kylie records how many words from the list each subject could remember.
Words memorized with background music
92914927282011132325162226141421131812
Mean: 18.2 words
Words memorized without background music
2824282427261371512276292022262220179
How much lower is the average for the treatment group than the average for the control group?
Answer:
14,96
Step-by-step explanation:
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
Simplify: (-5x + 7) - (x2 – 3x +2)
Answer:
-x^2-2x+5
Step-by-step explanation:
Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel
Answer:
I think it's 40 . I'm not sure
Answer:
0.6 liter per kilo
Step-by-step explanation:
Find the interest and amount of Rs. 12500 for
5 years at the rate of 8% per annum
Answer:
Can't help you in this Question
a + b - b =
what is it plzz help
Answer:
a + b - b = a
Step-by-step explanation:
Helpppppppppppp!!!!!!!!!!!
Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?
Answer:
3.25%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
585 = (4000)(r)(4.5)
585 = 18,000r
r = 0.0325
Multiply by 100 to get the percentage
0.0325 = 3.25%
a sweater originally priced at $79 is marked down 20%. What will the sales piece be?
Answer:
$63.20
Step-by-step explanation:
first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.
79•0.2= 15.8
so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price
$79-$15.8= $63.20
hope this helps chu <3
Answer this question please ASAP
solve these equations show solutions on a number line.
|x+8|=x+8
9514 1404 393
Answer:
x ≥ -8
Step-by-step explanation:
The absolute value does nothing when its argument is non-negative.
x +8 ≥ 0
x ≥ -8 . . . . . . . subtract 8 from both sides
Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.
Answer:
There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students
Step-by-step explanation:
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
Poll oftenly uses sampling.
The data obtained from the poll shows that:
20% of the students prefer the aquarium and 50% of the teachers the
aquarium.
That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.
Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Learn more about sampling here:
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what is the value for θ: sin (θ+20) = cos θ
Answer:
Step-by-step explanation:
Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????
Answer:
a- 3/4
b- 1/4
c- 3/16
Step-by-step explanation:
What is the Area of Triangle RST? Round your answer to the nearest tenth. *
Answer:
Step-by-step explanation:
Answer:
88.5
Step-by-step explanation:
formula = ab ×(sin∅)/2
= 18×12 × (sin 55)/2
= 88.5
Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)
cos(θ)=
sin(θ)=
tan(θ)=
cos(ϕ)=
sin(ϕ)=
tan(ϕ)=
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
The value of the trigonometric ratios have been determined.
What are Trigonometric Ratios ?In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.
The side length of the triangle as given in the figure is 18 , 24 , 30
The value of the trigonometric ratios are
cos θ = Base / Hypotenuse
sin θ = Perpendicular / hypotenuse
tan θ = Perpendicular / Base
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Therefore the value of the trigonometric ratios have been determined.
To know more about Trigonometric Ratios
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