Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? square units square units 17 square units 34 square units
Answer:
34sq. units
Step-by-step explanation:
The area of the rectangle shown is expressed as;
A = length *width
The length = AD = BC
Width = AB = CD
From the diagram, we will look for AD and AB using the formula for calculating distance between two points;
D = √(x2-x1)²+(y2-y1)²
For AB where A(-1,4) and B(3,3)
AB = √(3-(-1))²+(3-4)²
AB = √(4)²+(-1)²
AB =√16+1
AB = √17
For AD where A(-1,4) and D(-3,-4)
AD = √(-3-(-1))²+(-4-4)²
AD = √(-2)²+(-8)²
AD =√4+64
AD = √68
Hence area of the rectangle = √17*√68
Hence area of the rectangle = √1156
Hence area of the rectangle = 34
Hence area of the rectangle ≈ 34sq. units
Answer:
D.
Step-by-step explanation:
4. Tres albañiles trabajaron en una construcción. Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo. Entre los tres hermanos trabajaron 104 horas ¿Cuántas horas trabajó cada uno? Planteamiento algebraico: Procedimiento:
Answer:
La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.
Step-by-step explanation:
En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.
Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.
Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x
Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:
x + 4*x+ 8*x= 104 (Planteamiento algebraico)
Resolviendo (Procedimiento):
13*x=104
[tex]x=\frac{104}{13}[/tex]
x=8
Esto significa que la cantidad de horas que trabajó Hugo son 8.
Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces Eduardo trabajó 32 horas.
Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces Francisco trabajó 64 horas.
Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.
Dado que tres albañiles trabajaron en una construcción, y Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, y entre los tres hermanos trabajaron 104 horas, para determinar cuántas horas trabajó cada uno se debe realizar el siguiente cálculo:
E + F + H = 104F = 2EE = 4HF = 8HH + 4H + 8H = 10413H = 104H = 104 / 13H = 8Así, Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.
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A pitcher ok a baseball team is practicing his fast ball trying to ensure he hits the strike zone. He consistently releases the ball 3.4 feet high while he is pitching. The pitcher must aim for the ball to hit the ground approximately 58.8 feet from the pitcher's mound in order to stay in the strike zone. At what angle of depression, to the tenth of a degree, must he release the ball
Answer:
3.3°
Step-by-step explanation:
The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.
The length at which the pitcher hit the ground is the hypotenuse.
Given
Opposite side = 3.4m
Hypotenuse = 58.8m
Required
Angle of depression
Using SOH CAH TOA trigonometry identity
According to SOH,
Sin(theta) = opposite/hypotenuse
Sin(theta) = 3.4/58.8
Sin(theta) =0.05782
theta = sin^-1(0.05782)
theta = 3.32°
Hence the angle of depression that he must release the ball to nearest tenth is 3.3°
Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)
Please explain so I can understand this
Answer:
y = -2x - 4
Step-by-step explanation:
Formula is y = mx + b where m is the slope and b is the y-intercept
(1, -6) (-3, 2)
[tex]\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2[/tex]
The slope is -2
y = -2x + b
So let's find b, insert 2 for y and -3 for x to find b
2 = -2(-3) + b
2 = 6 + b
Subtract 6 from both sides to get b alone
-4 = b
We found what b equals (the y-intercept), which is -4
So, the equation is y = -2x - 4
Hope this helps and pls do mark me brainliest:)
PLEASE HELP! Will mark brainliest,
The sum of three consecutive numbers is 84. What is the largest of these numbers?
26
27
28
29
Answer:
29
Step-by-step explanation:
27 + 28 + 29 = 84
Answer:
D
Step-by-step explanation:
Let the first number be n.
Then the consecutive number will be (n+1).
And the second consecutive number will be (n+2).
We know that it totals 84. So, we can write the following equation:
[tex]n+(n+1)+(n+2)=84[/tex]
Let’s now solve for n. Combine like terms:
[tex]3n+3=84[/tex]
Subtract 3 from both sides:
[tex]3n=81[/tex]
Divide both sides by 3:
[tex]n=27[/tex]
So, our n or first term is 27.
This means that our sequence is: 27, 28, and 29.
So, our largest number is 29.
Hence, our answer is D.
Which line is a linear model for the data?
Plz help ASAP
Answer:
the one you have clicked is correct just took that quiz
Step-by-step explanation:
¿Cuántos enteros divisibles por 4 y por 9 hay entre 95 y 450?
Answer:
Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.
Step-by-step explanation:
Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:
[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)
Sabemos que el entero más pequeño divisible por 36 es:
[tex]x_{min} = \frac{108}{36}[/tex]
[tex]x_{min} = 3[/tex]
Mientras que el entero más grande divisible por 36 es:
[tex]x_{max} = \frac{432}{36}[/tex]
[tex]x_{max} = 12[/tex]
La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:
[tex]a = 1+(x_{max}-x_{min})[/tex] (2)
[tex]a = 1+(12-3)[/tex]
[tex]a = 10[/tex]
Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.
Is y = 5x − 3 a linear function? If so, graph the function.
HELLLLLLLLLLLPPPPPPPPP
Answer:
there is no quick way around this. U need to plug in -4,2,8 into x value into the function, and see what y returns to
Step-by-step explanation:
Gerald deposits $50 every week into a savings account. At week 16, the account balance is $1650. Write an equation that models the balance, y, and the number of weeks, x.
pleaseeee helpppppp asapppp
Answer:
30
Step-by-step explanation:
pls help what is Increase 5.4 by 1 1/27.
PLS HELP
T-T
Answer:
5/4
Step-by-step explanation:
1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.2p
Please help me I don’t understand
Answer:
the first and fifth one
Step-by-step explanation:
Answer:
the first and second one
Step-by-step explanation:
Mason breaks on average 1.5 pencils each day. How many pencils will he break in a school week?
Answer:
how long is the school week??
Answer:
He will break 7.5 pencils during a 5-day school week!
what is negative 7 minus negative 2
Answer:
-5
Step-by-step explanation:
-7 - (-2)
-7 + 2
Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2 to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.
Hope this helps:)
WILL GIVE BRAINLY!!!! HELP!!!!
Answer:
A is correct, the one you selected
Step-by-step explanation:
Answer:
A is the correct option
Step-by-step explanation:
sorry im a bit late lol
:)
Can someone please explain how functions work? With graphs?
Answer:
no, yes, no, no, yes, no
there you go!
Step-by-step explanation:
Plz I need help, I’m confused and lost :(
What is the value of the expression 2x2 + 5x – 6 when x = 2?
Answer:
2×2^2 +5×2 -6
= 2×4 +10 -6
= 8+10-6
= 18-6
= 12
HELP PLEASE PLEASE PLEASE!!The function f(x) = 4x – 8 is reflected across the y-axis, resulting in a new function, g(x). Write the EQUATION of g(x). Please show how you got it!!!
If the function f(x) = 4x – 8 is reflected across the y-axis. Then the reflected function will be g(x) = – 4x – 8.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
It is the image of the line which is located in the opposite direction of a given line.
The function f(x) = 4x – 8 is reflected across the y-axis.
If the function f(x) = 4x – 8 is reflected across the y-axis, then replace x with negative x. Then the reflected function will be
g(x) = – 4x – 8
The graph of the function and reflected function is given below.
More about the function link is given below.
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If the US released 5.877 billion metric tons of carbon dioxide and 1 trillion pounds=0.4536 billion metric tons, how many trillions of pounds of carbon dioxide did the US release?
Answer: 12.96 trillion pounds
Step-by-step explanation:
From the question, we are informed that:
1 trillion pounds = 0.4536 billion metric tons
Therefore, if the US released 5.877 billion metric tons of carbon dioxide, the trillions of pounds of carbon dioxide that the US release will be:
= 5.877 / 0.4536
= 12.96 trillion pounds
Using bangle side relationship theorem use the angle measures to list the side lengths of the triangle in order from longest to shortest
Answer:
AC= longest side
BC=middle side
AB=shortest side
Step-by-step explanation:
there is 180 degrees in a triangle, therefore
95+50=145
180-145=35
so we have angles 95, 50, 30
and we know that the side opposites with the angle corresponds to how big the side will be compared to the other sides
Therefore,
AC= longest side
BC=middle side
AB=shortest side
Doug did this work to solve an equation. Did he make an error? 7x-8=-x-(12)
HURRY PLZ!!!
Answer: What error is there, the answer to the equation is x= -1/2
Answer:
Step-by-step explanation:
What is the total cost of a pair of jeans that are priced $50.00 if there is 7 1/2% sales tax?
$57.50
$53.75
$55.50
Answer:
See below.
Step-by-step explanation:
Divide the percentage to find the decimal form.
[tex]\frac{7.5}{100} =0.075[/tex]
Multiply the total by the percentage.
[tex]50*0.075=3.75[/tex]
Add that to the total.
[tex]50 +3.75=53.75[/tex]
Answer: [tex]53.75[/tex]
:)
what is 5,250 ÷ 6 = to? i have been having trouble
Answer:
875
Step-by-step explanation:
Answer:
Simply line it up and divide it.
Then you get the answer:
875
Can somebody help me? Will mark brainliest!
Answer:
I believe it would be 3 reflection followed by translation.
Step-by-step explanation:
What is the binary number for 17
Answer:
♡ hi there! madeline here. ♡
- your answer is 10001
also, since I answered first, can I get the brainliest?
thank you, have a great day sandra!
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
A man invested 1000 rupees,split onto two schemes,at annual rates of interest 8% and 9%.After one year he got 875 rupees as interests from both. How much did he invest in each?
Given :
Total amount, T = 10000 . ( It should not 1000 )
Annual rates of interest in both scheme is 8% and 9% .
After one year he got 875 rupees as interests from both.
To Find :
How much did he invest in each.
Solution :
Let, amount invested in 8% annual interest scheme is x.
So, amount in other scheme is 10000-x .
Now, sum of interest is equal to 875.
[tex]\dfrac{x\times r_1 \times 1}{100}+\dfrac{(10000-x)\times r_2\times 1}{100}=875\\\\8x + 9(10000-x)=87500\\\\x = 90000-87500\\\\x = 2500[/tex]
Therefore, amount invested in 8% and 9% annual interest scheme is 2500 and 7500 rupees respectively.
Hence, this is the required solution.
What shape is generated when AABC is rotated around the vertical line
through B and C?
The solution is, The shape that is generated is a Cone, when AABC is rotated around the vertical line through B and C.
What is a cone?A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
here, we have,
given that,
triangle ABC is rotated around the vertical line through B and C.
now, we have to find shape that is generated .
we know that,
A triangle, when rotated about one of it's side will generate a solid in a form of a Cone.
again, we have,
The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.
Hence, The solution is, The shape that is generated is a Cone, when triangle ABC is rotated around the vertical line through B and C.
To get more about cone visit:
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What is the remainder when 2x^3−9x^2+11 is divided by x−6?
Answer:
119
Step-by-step explanation:
Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus
f(6) = 2(6)³ - 9(6)² + 11
= 2(216) - 9(36) + 11
= 432 - 324 + 11
= 119 ← remainder