Answer:
The area of the rectangle is increased in 76 percent.
Step-by-step explanation:
The area of a rectangle ([tex]A[/tex]) is represented by the following formula:
[tex]A = w\cdot l[/tex]
Where:
[tex]w[/tex] - Width.
[tex]l[/tex] - Length.
If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])
[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]
[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]
[tex]A = 1.76\cdot A_{o}[/tex]
The area of the rectangle is increased in 76 percent.
X(4)-20=72 what is the missing number
Answer:
23
Step-by-step explanation:
(4 x 23) -20 = 72
Chocolate ganache is made from chocolate and cream in a3:2 ratio, respectively. If one batch of ganache requires 240 grams of chocolate, how many grams of cream is required?
Answer:
160 grams
Step-by-step explanation:
Since one batch of ganache needs 240 grams of chocolate, you divide 240 by 3, since the ratio is 3:2.
240÷3x= 80.
Now that you have x, multiply x by 2.
80*2= 160
What’s the sum of 45 and ^
Answer:
45+π ≈ 48.1415926536
Step-by-step explanation:
Maybe you want the sum of 45 and pi:
45+π ≈ 48.1415926536
The sum is irrational, so cannot be expressed exactly, except in the form 45+π.
Rachel has 24 red candies and Maya has 18 green candies. They want to arrange the candies in such a way that each row contains equal number of candies and also each row should have only red candies or green candies. What is the greatest number of candies that can be arranged in each row?
Answer: 6 candies per row.
Step-by-step explanation:
The restrictions that we have are:
Each row has the same number of candies.
Each row has only one color of candy.
We want to find the largest possible rows.
We have 18 green candies and 24 red candies.
Now, to arrange them in rows of equal numbers, we should find a common factor between 18 and 24. (particularly, we want to find the largest common factor between 18 and 24).
Now, to find common factors we first take the smaller number, and we divide it by different numbers, starting by 2 (we want to divide by small numbers, so the result will be the largest factor)
18/2 = 9.
Now to see if 9 is also a factor of 24, we see if the quotient between 24 and 9 is a whole number.
24/9 = 2.66
This is not a whole number, so 9 is not a common factor.
Now we divide by the next number, 3.
18/3 = 6.
24/6 = 4.
So 6 is a common factor of 18 and 24.
Then each row will have 6 candy.
And we will have:
18/6 = 3 rows of green candy.
24/ = 4 rows of red candy.
What is the value of a if (2a+3)−(4a−8)=7?
Answer:
Step-by-step explanation:
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]
When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression
[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]
Add the numbers: 3 and 8
[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]
Move 11 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]
Subtract 11 from 7
[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]
Divide both sides by -2
[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{a = 2}}[/tex]
Hope I helped!
Best regards! :D
Luke hiked 6 1/4 miles . Joana hiked 2 1/5 times as far .How far did Joana hiked
Answer:
[tex]6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\[/tex]
[tex]\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}[/tex] (Amount Jona hiked)
Answer:
13 3/4
Step-by-step explanation:
Tammy is recording the percentages she earned on each quiz in her math class. Here are her results for the last quizzes. 91, 86, 85, 74, 90, 87,86 Find the range of the data set. PLZ HELP
Answer:
The range is 17
Step-by-step explanation:
91-74 = 17
The range is the highest number subtracted by the lowest number
Answer:
17
Step-by-step explanation:
a surveyor is surveying a street. The surveyor is standing at point P looking down the street a No parking sign at Point P given PA=3x-4, PR=21 meters, AR=7 meters and point A is between point R and point p
Answer:
6
Step-by-step explanation:
Pa = 3x-4. Pr = pa+ar
Ar = 7
3x-4+7= 21
Combine light terms
Then order of operations
3x-3=21
3x-18
X=6
The required value of x is 6
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.
Now it is given that,
PA = 3x-4
PR = 21 meters
AR=7 meters
Since point A is between point R and point P.
Thus we can write,
PR = PA + AR
Put the values of PA,PR and AR we get,
21 = 3x - 4 + 7
Subtracting 7 both the side we get,
3x - 4 = 14
Adding 4 both the side we get,
3x = 18
Dividing both side by 3 we get,
x = 6
which is the required value of x.
Thus, the required value of x is 6.
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The length of a rectangle is four times its width. If the perimeter of the rectangle is 60 yd, find its area.
Answer:
23
Step-by-step explanation:
thgric7cuf j u gif dude jfcrcifcru u fug tu
PLEASE HELP I HAVE UNTIL TOMORROW
Answer:
The answer is A. 10b = c
Step-by-step explanation:
Well if it's $10 per book and the total cost is C. Then you would multiply the amount of books with the cost per book and have it equal the the total C.
The graph of a quadratic function F has zeros of -8 and four and a maximum at -2, 18 what is the value of “a” in the function equation?
Consider a triangle with vertices at S(-2, -3), A(2, 3), and N(5, -4). Find the length of each side rounding your answer to the nearest tenth and then determine which is the shortest.
The length of side SA is: type your answer...
The length of side AN is: type your answer...
and the length of side NS is: type your answer...
Therefore the shortest side is: type your answer...
CLASS ENDS IN ONE HOUR HELP
We can use the distance formula to solve: √(x2-x1)²+(y2-y1)²
Side SA:
√(2-(-2))²+(3-(-3))²
√4² + 6²
√16 + 36
√52
≈ 7.21
Side AN:
√(5-2)²+(-4-3)²
√3² + -7²
√9 + 49
√58
≈ 7.62
Side NS:
√(-2-5)²+(-3-(-4))²
√-7² + 1²
√49 + 1
√50
≈ 7.07
Therefore, the shortest side is "NS"
Best of Luck!
The point M,0 and p all lie on the same line segment, in that order, such that the ratio of MN : N0 : OP is equal to 1 : 3:1 if MP=40 find NP
Answer:
32
Step-by-step explanation:
Hope this will help:)
An airport offers 2 shuttles that run on different schedules. If both shuttles leave the airport at 4.00 pm at what time will they leave the airport together
Answer:
4:18 pm
Step-by-step explanation:
An airport offers 2 shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave theairport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Solution
To solve for when next both shuttles will leave the airport together, find the least common multiples of 6 minutes and 9 minutes
Shuttle A (every 6 minutes) = 6, 12, 18, 24
Shuttle B (every 9 minutes) = 9, 18, 27, 36
The least common multiples of 6 minutes and 9 minutes is 18 minutes
4:00 pm + 18 minutes
= 4:18 pm
The next time both shuttles will leave theairport together is 4:18 pm of the same day
Rafiq compares the
expressions 4 X 8 and 8 X 12. He says that 8 is twice
as much as 4, so 4 X 8 must be twice as much as 8 X 12.
Correct his statement, and explain his error.
HELLLPPPPP
Answer:
Hey there!
Rafiq's error was that the other number is also changing. He had 4 x 8 and if he had 8 x 8, that would be twice as much, but he used 8 x 12 instead, and 12 is not 8.
Let me know if this helps :)
The other number that was also changing was Rafiq's mistake if Rafiq compares the expressions 4x8 and 8x12.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
It is given that:
Rafiq compares the expressions 4x8 and 8x12
The correct statement is for Rafiq compare the expressions 4 X 8 and 8 X 12
The fact that the other number was also changing was Rafiq's mistake.
Rafiq had 4 × 8, therefore 8 x 8 would have been twice as much; however, he utilized 8 x 12, even though 12 is not equal to 8.
Thus, the other number was also changing was Rafiq's mistake if Rafiq compares the expressions 4x8 and 8x12.
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Diagnostic Test
3
What is the value of the expression below when x equals 6?
15 + 12x
A.
72
B.
33
21
D.
87
Answer:
87
Step-by-step explanation:
x=6
15+12(6)
15+72
87
The value of a car is $22,000. It loses 13.9% of its value every year. Find the approximate monthly decrease in value. Round your answer to the nearest tenth.
Answer:
.200 because 22,000 % by 7 is 1540 which you divide by 10,000
Step-by-step explanation:
hope this helps
The approximate monthly decrease in value is $255.2
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
Given,
Value of the car = $22000
Loss percentage of value per year = 13.9%
Loss percentage of value per month =[tex]\frac{13.9}{12}[/tex] =1.16%
Decrease in value per month = [tex]22000(\frac{1.16}{100})[/tex]= $255.2
Hence, the approximate monthly decrease in value is $255.2
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Si para una receta de flan para 3 porciones se nesecita un cuarto de litro de leche . ¿ cuanta leche se nesitaria para preparar la receta para 9 personas ?
Answer:
Para preparar la receta de flan para 9 personas se necesita [tex]\frac{3}{4}[/tex] L de leche
Step-by-step explanation:
La regla de tres simple directa se utiliza cuando el problema trata de dos magnitudes directamente proporcionales, es decir, magnitudes que si al multiplicar o dividir una de ellas por un número, la otra queda multiplicada o dividida por ese número. Es decir, cuando una magnitud aumenta la otra también lo hace en la misma proporción, y si la magnitud disminuye la otra disminuirá de igual forma.
Conociendo 3 valores “a”, “b” y “c” y teniendo un valor incógnita que deseamos conocer, la regla de tres simple directa se aplica de la siguiente forma:
a ⇒ b
c ⇒ x
Entonces : [tex]x=\frac{c*b}{a}[/tex]
En este caso se aplica de la siguiente manera: considerando que cada persona recibe una porción, si para preparar la receta para 3 personas se necesita [tex]\frac{1}{4}[/tex] de litros de leche, para preparar la receta para 9 personas cuánta leche se necesita?
3 personas ⇒ [tex]\frac{1}{4}[/tex] L
9 personas ⇒ x
[tex]x=\frac{9 personas*\frac{1}{4} L}{3 personas}[/tex]
x= [tex]\frac{3}{4}[/tex] L
Para preparar la receta de flan para 9 personas se necesita [tex]\frac{3}{4}[/tex] L de leche
What is the solution of this equation -4z = 24
Answer:
z = -6
Step-by-step explanation:
[tex]-4z=24\\\\\frac{-4z=24}{-4}\\\\ \boxed{z=-6}[/tex]
Hope this helps.
Andrés tiene una cuerda de 120 metros y otra de 96 metros. Desea cortarlas de modo que todos los trozos sean iguales pero lo más largos posible. ¿Cuántos trozos de cuerda obtendrá?
Answer:
Se obtendrá 9 trozos de cuerda.
Step-by-step explanation:
Para que sea cada trozo de igual extensión, pero lo más posible, se tiene que encontrar el máximo común divisor de 96 y 120 para determinar la longitud máxima del trozo. Se realiza el siguiente procedimiento para determinar el máximo común divisor:
1) Se determina cada número como producto de números primos:
[tex]96 = 2^{5}\times 3[/tex]
[tex]120 = 2^{3}\times 3 \times 5[/tex]
2) Se determina los números primos comunes de cada número y se multiplican entre sí:
[tex]x = 2^{3}\times 3[/tex]
[tex]x = 8\times 3[/tex]
[tex]x = 24\,m[/tex]
Cada trozo debe ser de 24 metros de longitud.
Ahora se determina el número de trozos al dividir la longitud total por el resultado anterior:
[tex]n = \frac{120\,m+96\,m}{24\,m}[/tex]
[tex]n = 9[/tex]
Se obtendrá 9 trozos de cuerda.
what is the answer to this 6+z/10 = -2 solve for z
The cost for boat rental for 3 days is $254 what would the rental cost be for a week?
Answer:
it would be about $592.67.
Step-by-step explanation:
1) 254/3 = 84.666666667
2) 84.666666667 * 7 = 592.666667
3) 592.666667 ≈ 592.67
Answer:
5.92.67
Step-by-step explanation:
Does anyone know the answer
Answer:
Both angles B and C are equal to 40°
Step-by-step explanation:
The diagram tells you that the triangle is an isosceles triangle. From this we know that angles B and C will be equal to each other. To find what the angle measures are, we are going to set the two given expressions equal to each other, solve for x, and the plug x back in to get the two angle measures.
[tex]2x+10=3x-5\\10=x-5\\15=x[/tex]
Now we are going to plug x back into each expression to solve for angles B and C.
Angle B
[tex]2x+10[/tex] ⇒ [tex]2(15)+10=40[/tex]
Angle C
[tex]3x-5[/tex] ⇒ [tex]3(15)-5=40[/tex]
Both angles B and C are equal to 40°
The formula D =3/2 (100 – C) relates D,
the temperature measured on the Delisle
scale, in degrees, and C, the temperature
measured on the Celsius scale, also in
degrees. What is the temperature in
degrees Celsius when the temperature in
degrees Delisle is 78°?
BO
Answer:33
Step-by-step explanation:
3/2 —> 1.5
1.5(100-C) C is 78°
1.5(100-78)
1.5(22)
33
The temperature in degrees Celsius, if the function of the relationship is given as 78 = 3/2(100 - C), is calculated as: C = 48
What is Function?A function is a form of equation that relates one quantity that changes with another.
Given the formula for the function representing the relationship between D and C as, D = 3/2(100 - C), to find the temperature in degrees Celsius when the D = 78, substitute D = 78 into D = 3/2(100 - C).
78 = 3/2(100 - C)
(2)(78) = 3(100 - C)
156 = 3(100 - C)
156/3 = 100 - C
52 = 100 - C
52 - 100 = -C
-48 = -C
C = 48
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which is not a rational
Answer:B
Step-by-step explanation:
In the diagram JL = 120, What are JK and KL? Explain how you found your answer.
Answer:
JK = 42
KL = 78
Step-by-step explanation:
To find the lengths of JK and KL, we need to first find the value of x. We know that the length of the entire line is 120. That means we need to add the lengths of JK and JL and set it equal to 120.
4x+6+7x+15 = 120
Combine like terms.
11x+21 =120
Subtract 21 from each side.
11x= 99
Divide both sides by 11.
x=9
Now that we know the value of x, we simply plug it into the equations to find out the lengths of each line segment.
JK = 4x+6
4(9)+6 (x is plugged in)
36+6 = 42
JK=42
Now lets do KL.
7x+15
7(9)+15
63+15 = 78
KL = 78
The values of JK = 42 and KL= 78.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment JL , where the length of line segment JL refers to the distance between its endpoints, J and L.
Given that JL = 120,
And JK = 4x + 6 and KL= 7x + 15
J_________K______________L
⇒ JL = JK + KL
⇒ 120 = 4x + 6 + 7x + 15
⇒ 120 = 11x + 21
⇒ 11x = 99
⇒ x = 9
Substitute the values of x = 9 in the JK = 4x + 6 and KL= 7x + 15,
JK = 4(9) + 6 = 42
KL= 7(9) + 15 = 78
Hence, the values of JK = 42 and KL= 78 .
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I
Is x= -2 a solution to:
a.
7X = -1
b. X* 14 = -28
Answer:
Step-by-step explanation:
-2 x 14 = -28
b is the answer
You do not have to solve. Just please draw a triangle with the numbers on it. I am not completely sure where each angle goes. Right now my measurements are a=62 degrees c=63m, solve for c Pleas let me know if I am wrong!
Answer:
55.6 m
Step-by-step explanation:
sin(62)=x/63
63sin(62)=x
63*0.8829=x
x=55.6 m
[tex]5(m - 1) = - 25[/tex]
can u help me solve it?
Answer:
-4.
Step-by-step explanation:
5(m - 1) = -25
m - 1 = -5
m = -4.
Answer:
m = -4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
m = -4
A rectangular garden is 15 ft longer than it is wide. Its area is 6750 ft 2 . What are its dimensions
Answer:
450 x 15 = 6750 ft 2
Step-by-step explanation: