A quarterly telephone bill consist of N$79.15 rental plus 4.7 cents for each dialled unit. Sales tax is added at 15%. What is the total bill for Mrs. Jones who used 915 dialled units?

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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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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In the last partially filled box the number of popped kernels is 36.

What is an expression?

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the popped corn is put into small popcorn boxes that each hold 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. All the boxes are filled except for the last box,

The number of the popped Kernels will be calculated as below:-

Divide 1600 Kernels by 120 propped Kernels:-

1600 / 120 = 13.3

Multiply 120 by 30 percent.

120 x 0.3 = 36

Therefore, in the last partially filled box the number of popped kernels is 36.

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Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.

Step-by-step explanation:

Answer:

y = 8x + 67

Step-by-step explanation:

The equation of a line in slop- intercept form is

y = mx + c

Given

y - 3 = 8(x + 8) ← distribute parenthesis

y - 3 = 8x + 64 ( add 3 to both sides )

y = 8x + 67 ← in slope- intercept form