Number of girls: 14 Number of boys: 12 Number of students in the class: 26 What is the ratio in simplest form of the number of boys to the number of students in this math class?

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.

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.

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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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!

Answer:

450 x 15 = 6750 ft 2

Step-by-step explanation:

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

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°

Answer:

23

Step-by-step explanation:

(4 x 23) -20 = 72

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

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.

Answer:

23

Step-by-step explanation:

thgric7cuf j u gif dude jfcrcifcru u fug tu

Answer:

z = -6

Step-by-step explanation:

[tex]-4z=24\\\\\frac{-4z=24}{-4}\\\\ \boxed{z=-6}[/tex]

Hope this helps.

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:

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

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:

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

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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Answer:

87

Step-by-step explanation:

x=6

15+12(6)

15+72

87

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

Answer:

55.6 m

Step-by-step explanation:

sin(62)=x/63

63sin(62)=x

63*0.8829=x

x=55.6 m

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

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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Answer:

32

Step-by-step explanation:

Hope this will help:)

Answer:Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

range is The zero doesn't matter. You still subtract the lowest number from the highest. If zero is the lowest number, then the highest number is the range. If the set consists of negative numbers, and zero is the highest number, then the lowest number (without its negative sign) is the range.

0

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.

Answer:

1/2

Step-by-step explanation:

Step 1:

4/6x + 3/6 + 5/6

Step 2:

4/6x = 2/6

Step 3:

2/6 times 6/4

Answer:

1/2

Hope This Helps :)

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:

Answer: The answer is (-∞, ∞)

Step-by-step explanation:I hope this helps!

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

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.

Answer:B

Step-by-step explanation: