Veremos que el volumen total que cabe en el pilón es 2,800 m^3
Sabemos que el pilón tiene una capacidad máxima V.
Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.
Entonces podemos plantear:
(4/7)*V = 1,600m^3
Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:
V = (7/4)*1,600m^3 = 2,800 m^3
Es decir, el volumen total que cabe en el pilon es 2,800m^3
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What percent of each diagram is shaded below?
Answer:
a. 3/10
b. 1/5
c. 1/4
Step-by-step explanation:
a. 30/100 = 3/10
b. 20/100 = 1/5
c. 25/100 = 1/4
Answer:
Step-by-step explanation:
You are working with 1 large square made up of 100 little squares. The little squares make up 10 columns of 10 little squares each.
A
Shaded part = 30 squares.
Entire large square = 100 small squares
% = 30 / 100 * 100 = 30%
B
Shaded part = 20 horizontal squares.
Entire large square = 100 small squares
% = 20 / 100 * 100 = 20%
C
Shaded part = 5 by 5 little squares = 25 little squares
Entire large square = 100 small squares
% = 25 / 100 * 100 = 25%
6x-7y=7andx-7y=-8 find valve of x and y
Answer:
x = 3, y = 11/7.
Step-by-step explanation:
6x - 7y = 7
x - 7y = -8 Subtract:
5x = 15
x = 3
3 - 7y = -8
-7y = -11
y = 11/7.
Answer: x = 3 and y = 11/7
Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x) -7y/-7 = -6x+7/-7 y = 6/7x-1 x-7 (6/7 (x) -1) = -8 -5x+7+(-7) = -8+(-7) -5x/-5 = -15/-5 x = 3 y = 6/7x-1 y = (6/7) (3) -1 y = 18/7-1 18/7-1/1 18/7-7/7 y= 11/7 x = 3 and y = 11/7
[ASAP] Which graph represents a direct variation?
Urgent! At a baseball game, a vender sold a combined total of 241 sodas and hot dogs. The number of sodas sold was 55 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Sodas = 148
Hot dogs = 93
Step-by-step explanation:
Let S and H stand for the number of Sodas and Hot dogs, respectively.
We are told that:
H + S = 241
We are also told that:
S = H + 55
Use the second expression for S (H+55) in the first equation:
H + S = 241
H + (H+55) = 241
2H + 55 = 241
2H = 186
H = 93
Since H = 93,
S = 93+55, or 148
148 + 93 = 241 [Checks]
Sodas = 148
Hot dogs = 93
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
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what is the least common factor for 1,000 and 150
Answer:
least common multiple: 1000
greatest common factor is 50
least common factor would be 1, but that isn't really a common thing to calculate
Step-by-step explanation:
how long is the Yangtze river
Answer:
3,915 mi
Step-by-step explanation:
Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.
Answer:
x2 - 2x + 4 (remainder 2).
or we could write it as
x2 - 2x + 4 + 2/(x+3)
Step-by-step explanation:
x2 - 2x + 4 <------ quotient.
x + 3 ) x3 + x2 - 2x + 14
x3 + 3x2
-2x^2 - 2x
-2x2 - 6x
4x + 14
4x + 12
2 <--------- remainder
Step-by-step explanation:
Describe and correct the error in rewriting the expression.
6(y+8) = 6y+8
Describe the error:
Correct the error:
Answer:
error: forgot to distribute 6 to the 8
correction: 6(y+8) = 6y+48
Step-by-step explanation:
in distributive property: you must multiply the number on the outside to both of the numbers in the inside
10 x 9= what is it help
Answer:
10
[tex]10 \times 9 \\ 90[/tex]
Answer:
90 :)
Step-by-step explanation:
10 x 9 = 90
= 90 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
(x + 1)(x + 2)(x + 1)(3x + 2)
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
Whitch of the following equations best describes the line containing all three points ?
One number is 3 times another. If the difference between the numbers is 14, what is the larger number?
Answer:
21
Step-by-step explanation:
One number is 3 times another
x and 3x
difference between the numbers is 14,
3x - x = 14
simplify
2x = 14
Divide both sides by 2
x = 7
3x = 21
Answer:
The larger number is 21.
Step-by-step explanation:
let, the smaller number be x.
the larger number be 3*x =3x.
Now,
3x-x=14
or, 2x=14
or, x=14/2
x=7
here,
3x=3*x=3*7=21
A soap manufacturing company packs 5252 soap bars per carton.
Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.
If this is the question in picture below.
Answer:
468
Step-by-step explanation:
Please help me I need help with solving this equation worth 30 points
Answer:
1. -20
2. 27
3. 36
4. -200
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
x2 + (y + 8)2 = 36
Step-by-step explanation:
:) took the test
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
What is the Standard form of a Circle?Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given that,
A circle has a diameter of 12 units.
So radius = 12 / 2 = 6 units
Center of the circle lies on the Y axis.
So the x coordinate of the center of the circle will be 0.
So, in (h, k), h = 0
So the equation will be of the form,
(x - 0)² + (y - k)² = 6²
x² + (y - k)² = 36
Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
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3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?
Answer:
ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
6 weeks to 12 days answer?
What’s 568 divided by 7
wuts x uwu plssss 10 points
−2/9x+2.7=4
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]
Subtract -2.7 on both sides by doing the inverse operation.
2) [tex]-\frac{2}{9}x = 1.3\\[/tex]
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)[tex]x = -5.85[/tex]
Which graph best represents a function with zeros of -2, -1 and 2
Answer:
D
Step-by-step explanation:
Because if you see the x-intercept you will see function with zeros of -2, -1 and 2
find the median data 46,22,46,49,45,39,40,42,41,39,40,36
Answer:
median is 40.5
Step-by-step explanation:
22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49
half way between numbers in numerical order
lands between 40 and 41
40.5
Answer:
41
Step-by-step explanation:
1. First you have to put the numbers in order from least to greatest:
22 36 39 39 40 40 41 42 45 46 46 49
2. Then cross out each number until you find the one that in the middle
For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
Can someone please solve question 8
Answer:
22.84
Step-by-step explanation:
7x+20=7x+20
help asap
step by step please
Answer:
The given equation is true for all x.
Step-by-step explanation:
(ASAP) helpp i need to get this done 3m
3(a-4) + 1= 9 - a
3(a-4) = 8 - a
3a-12 = 8 - a
4a = 20
a=5
I hope this helps! :)
Answer:
a=5
Step-by-step explanation:
3(a-4)+1=9-a
3a-12+1=9-a
3a-11=9-a
3a+a=9+11
4a=20
a=20÷4
=5
You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (ℎ) of the lamppost?
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
y = 0.5x + 6.50Learn more : https://brainly.com/question/17225268