A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

Answers

Answer 1

Answer:

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382 (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0 (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52 (3)

Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

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Answer 2

Answer:

Final answer:

To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.

Explanation:

To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.

From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.

From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.

From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.

We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.

Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.

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A firm starts work with 110 employees for the 1st week. The number of employees rises by 6% per week. How many weeks will it take for 250 persons to be employed?

Answers

1 % of 110 = 1.1
x 6 = 6.6
round up because you can't have 0.6 of a person.
7 people a week.
250 - 110 = 140
140 divided by 7 = 20
20 weeks

110 x 1.06 = 116.6
Now if 116.6 is x repeat this step till you get 250 people
X x 1.06
, so it will take roughly 14-15 times to get 250 employees but 14 times is the closer one

Solve and Check
-N/5=5

Can someone explain this to me?

Answers

Hi! First, we multiply both sides by 5, -n/5*5=5*5=-n=25. Second, we divide both sides by -1, -n/-1=25/-1. Therefore, our answer is n=-25

Solve the equation for the variable. Make sure your answer is in simplest form. $30x + 18 = 35 - 4x$
$x = (?)/(?)$
Enter the numbers that belong.

Answers

Answer:

$x = (1)/(2)$

Step-by-step explanation:

$30x+18=35−4x$

First of all using the addition property add 4x to both sides

That's

$30x + 4x + 18 = 35 + 4x - 4x \n 34x + 18 = 35$

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

$34x + 18 - 18 = 35 - 18 \n 34x = 17$

Divide both sides by 34

That's

$(34x)/(34) = (17)/(34)$

We have the final answer as

$x = (1)/(2)$

Hope this helps you

After distributing the terms (2x + 3) (4x – 5), you get a new expression of the formax+ bx + c
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer:

Value of a = 8

Value of b = 2

Value of c = - 10

Step-by-step explanation:

$(2x + 3)(4x - 5)$

$= > 2x(4x - 5) + 3(4x - 5)$

$= > 8 {x}^(2) - 10x + 12x - 15$

$= > 8 {x}^(2) + 2x - 10$

As per the general form of a quadratic eqn. $a {x}^(2) + bx + c$

Value of a = 8

Value of b = 2

Value of c = - 10

Geometry:
Find the measure of angle B. 120, 22x+4, 15x+5

Answers

Final answer:

To find the measure of angle B, set up an equation using the information given, solve for x, and substitute it back into the expression for angle B. The measure of angle B is 33.3256 degrees.

Explanation:

To find the measure of angle B, we need to set up an equation using the information given. The sum of the angles in a triangle is always 180 degrees. So, we can write the equation: 120 + (22x+4) + (15x+5) = 180. Now let's solve for x:

Combine like terms: 120 + 22x + 4 + 15x + 5 = 180
Combine constants: 129 + 37x = 180
Subtract 129 from both sides: 37x = 51
Divide both sides by 37: x = 1.3784 (rounded to four decimal places)

Now that we have the value of x, we can substitute it back into the expressions for angle B:

Angle B = 22x + 4 = 22(1.3784) + 4 = 29.3256 + 4 = 33.3256 degrees

Learn more about Finding the measure of angle B

Plz help need to find both answers

Answers

Answer:

I hope it helped u.

Step-by-step explanation:

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