Answer:
9(1 + x + y)
Step-by-step explanation:
[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]
Una planta procesadora de alimentos desea producir 1000 litros de salsa de tomate con 30%de azúcar. Si tienen una salsa con 25% de azúcar y otra con 45%, ¿qué cantidad de cada clase de salsa deben emplear?
Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.
Step-by-step explanation:
Lo que tiene la planta es:
Una salsa con 25% de azúcar
Una salsa con 45% de azúcar.
Vamos a definir dos cantidades, A y B.
A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.
Como queremos producir 1000 litros de salsa, tenemos la ecuación:
A + B = 1000 L
Ahora, queremos que el producto final tenga 30% de azúcar.
El porcentaje de azúcar se define como:
(Cantidad de azúcar/Cantidad total de salsa)*100%.
Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:
0.25*A
Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:
0.45*B
Entonces cuando los mezclamos, la cantidad total de azúcar es:
(0.25*A + 0.45*B)
Y usando la formula de arriba, tenemos que:
100%*(0.25*A + 0.45*B)/(A + B) = 30%
Ahora divido ambos lados por 100%.
(0.25*A + 0.45*B)/(A + B) = 0.30
Entonces tenemos un sistema de dos ecuaciones:
A + B = 1000 L
(0.25*A + 0.45*B)/(A + B) = 0.30
El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:
A = 1000L - B
Ahora puedo reemplazar esto en la segunda ecuación:
(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30
Y ahora lo resolvemos para B.
(250 L - 0.25*B + 0.45*B)/1000L = 0.30
250L + 0.20*B = 0.35*1000L = 300L
0.20*B = 300L - 250L = 50L
B = 50L/0.2 = 250L
Entonces:
A = 1000L - 250L = 750L.
Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.
2x + y = 10
x - 2y = -5
if (x,y) is the solution to the system of equations above, what is the value of 3x - y?
3x - y = 5
Step-by-step explanation:2x + y = 10 | ×2
x - 2y = -5
4x + 2y = 20
x - 2y = -5
add
4x + x + 2y - 2y = 20 - 5
5x = 15
x = 15 : 5
x = 3
replace x
4(3) + 2y = 20
12 + 2y = 20
2y = 8
y = 8 : 2
y = 4
3x - y =
= 3(3) - 4
= 9 - 4
= 5
There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?
Answer:
8.71428571
do 61 divided by 7. Simple math.
Answer:
8.714
Step-by-step explanation:
Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.
From here you can round.
I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.
Hope this helps!
Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories? Insert your answer as a whole percentage WITHOUT the % symbol.
Answer:
75
Step-by-step explanation:
Your target number of calories is 2,400 per day inorder to lose some amount of weight.
Instead 3,200 calories is consumed
Therefore the percentage of target that is consumed can be calculated as follows
= 2,400/3,200 × 100
= 0.75 × 100
= 75
Hence the percentage of calories that is consumed is 75
1. Order each group of
numbers from least to
greatest:
9,616
9,016 9,916 9.916.1
hope that helps !
10. Convert 102°F to °C using this equation: C = 5(F-32)
Round to the nearest tenth.
9
Answer:
38.9 degrees C
Step-by-step explanation:
Use the equation:
[tex]C=\frac{5}{9} (F-32)[/tex]
to convert degrees Fahrenheit to degrees Celsius. So replace the value for the Fahrenheit with 102 and solve for C:
[tex]C=\frac{5}{9} (F-32)\\C=\frac{5}{9} (102-32)\\C=\frac{5}{9} (70)\\C=\frac{350}{9} \approx38.89\,^oC[/tex]
which to the nearest tenth can be written as: 38.9 degrees C
If you flip a coin ten times and get tails three times; what is the experimental probability of getting heads?
Answer:
50 goes to 25 to 12.5 then 6.25%
Step-by-step explanation:
i hope i helped
Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4
Answer: C. 4 1/4 > 2 3/4
Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.
- Lizzy ˚ʚ♡ɞ˚
Yo does anyone know how to do this ?
Simplifying a Fraction Expression
2/3 divided by (-4) - ( 1/6 - 8/6)
Answer:
Step-by-step explanation:
2/3 x -1/4 + 9/6)
-2/12 + 9/6
-1/6 + 8/6 = 7/6 = 1 1/6
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
Answer:
A small learning center holds 48 students
Step-by-step explanation:
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
72-24=48
1) Simplify x3 x4 using the product of powers property.
Les
Answer:
Step-by-step explanation
[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]
In product of powers, if base is same, just add the powers
x = |y| a function?
Answer:
yes
Step-by-step explanation:
it is a function. it i think is a linear function
Is - 6/5 rational or irrational?
Answer:
lt is rational number .
Construct a line through P that is
perpendicular to the line.
Answer:
The construct a line through P that is perpendicular to the line.
Step-by-step explanation:
Given that,
Construct a line through P that is perpendicular to the line.
We need to construct a perpendicular line P
Using given data
We draw an arc across the line on each side of the point P.
Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.
The point P to the point where the arcs intersect Q.
Hence, The construct a line through P that is perpendicular to the line.
The equation of the perpendicular line through point 'P' is [tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex] and this can be determined by using the point-slope form of the line.
The following steps can be used in order to construct a line through P that is perpendicular to the line:
Step 1 - The equation of a line that passes through point 'P' is given below:
[tex](x-x_1)=m(y-y_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point 'P' on the line.
Step 2 - So, the slope of the perpendicular line through point 'P' is:
[tex]mm' = -1[/tex]
[tex]m'=-\dfrac{1}{m}[/tex]
Step 3 - So, the equation of the perpendicular line through point 'P' is:
[tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex]
For more information, refer to the link given below:
https://brainly.com/question/2564656
In Noah's classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?
A. 3:1
B. 1:4
C. 4:1
D. 1:3
Answer:
A-3:1
Step-by-step explanation:
Simplify 6:2 by dividing by 2
Dwayne buys 1 loaf of bread and 6 eggs for $4.45. Sheila buys 1 loaf of bread and 1 dozen eggs for $5.65. Let x be the cost, in dollars, of a loaf of bread. Let y be the cost, in dollars, of an egg.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Let x = cost of a loaf of bread ; y = cost of an egg
Dwayne :
1 loaf of bread and 6 eggs :
X + 6y = 4.45 - - - (1)
Sheila :
X + 12y = 5.65 - - - (2)
From (1);
X = 4.45 - 6y
In (2):
(4.45 - 6y) + 12y = 5.65
4.45 + 6y = 5.65
6y = 5.65 - 4.45
6y = 1.2
y = 0.2
From X = 4.45 - 6y:
X = 4.45 - 6(0.2)
X = 4.45 - 1.2
X = 3.25
Cost of a loaf of bread = $3.25
Coat of an egg = $0.2
If there is 22400 rupee expense of 14 men for 8 days then how many expense of 7 men for 13 days? please explain thanks
Answer:
The expense of 7 men for 13 days is 18,200 Rs.
Step-by-step explanation:
The expense of 14 men for 8 days = 22400
The expense of 14 men per day = 22400/8 = 2800
The expense of 1 man per day = 2800/14 = 200
The expense of 7 men per day = 200*7 = 1400
The expense of 7 men for 13 days = 1400*13 = 18200
Hope that helps :)
Identify the intersection of line l line m
sorry for the messy laptop but can someone help me qwq
I believe the correct answer is H. 1,-5
A 17-inch board is cut into three pieces. The
first piece is three inches more than the
second. The third piece is twice the first.
What is the length of the longest board.
Answer:
The third piece is the longest (10inches)
Step-by-step explanation:
The second piece is 2in
The first is 5in ( 2+3in)
f(x)=-6x-8, what if f(-3)
Answer:
f(-3) = 10
Step-by-step explanation:
Simply plug in x as -3 to find f(-3):
f(-3) = -6(-3) - 8
f(-3) = 18 - 8
f(-3) = 10
What is 200 ÷ 6.24 How do you work this out
Find Cos N 73 48 E 55
Answer:
1. cos73 is 0.29
2. cos48 is 0.67
3. cos55 is 0.57
These are the answers for cos. Hope this helps!
How many ounces (oz) are 1 pound (lb)
Which is equivalent to 2x(+7)18x+4/5
Answer:
-16x +[tex]14 4/5
Step-by-step explanation:
Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Answer:
Step-by-step explanation:
y - 4 = -(x - 2)
y - 4 =-x + 2
y = -x + 6
can you help me with this queistion
Answer:
B
Step-by-step explanation:
please help meeeee asappp
1. 81
2. 2 4/25
3. 2⁵×3
4. 2,040
Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm
Answer:
The perimeter of the shape below is 44.48cm
Step-by-step explanation:
To calculate the perimeter of this figure we have to add
7cm + 12cm + 7cm + ( perimeter of semicircle)
To calculate the perimeter of the semicircle we have to use the following equation
d = 12cm
r = d/2 = 12cm/2 = 6cm
c = perimeter of semicircle
r = radius = 6cm
π = 3.14
c = π * r
we replace with the known values
c = * 3.14 * 6cm
c = 18.84cm
The perimeter of the semicircle is 18.84cm
Now that we have this value we can calculate the perimeter of the figure
7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm
The perimeter of the figure is 56.84 cm
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .
Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle
∴ 3.14×6+2(12+7)=56.84 cm
Hence, The perimeter of the figure is 56.84 cm
Learn more about area here:
https://brainly.com/question/20693059
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