MATHEMATICS COLLEGE

there are 650 students in a school if the number of girls is 106 more than the boys how many boys are in the school

Answers

Answer 1

Answer: There are 272 boys in the school

Answer 2

Answer:

Answer:

boys = 272

Step-by-step explanation:

b = boys

g = girls

1) write two equations with the given informations:

g + b = 650

g = b + 106

2) substitute the value of g in the first equation:

b + 106 + b = 650

3) solve the equation for b

2b = 544

b = 272

4) substitute the value in the second equation

g = 272 + 106

g = 378

girls = 378

boys = 272

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Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.Rectangle JKLM is drawn on the grid with vertices J at negative 8, negative 8, K at negative 4, negative 8, L at negative 4, ne

What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)

(12, 6)
(12, 7)
(16, 7)
(16, 6)

Answers

Answer:

(16, 7)

Step-by-step explanation:

Given rectangle JKLM

As per graph, the rectangle J'K'L'M' is the transformation of JKLM

Based on one of the points we can calculate the transformation rule:

Let's use points K and K'

K((-4, -8) → K'(6, -5)
6 - (-4) = 10
-5 - (-8) = 3

So the rule is

(x', y') → (x + 10, y +3)

Trapezoid STUV:

Using point T(6, 4)

Applying same rule:

T' = (6 + 10, 4 +3) = (16, 7)

Answer: its c (16, 7)

i just took the test and got it right

Divide and simplify to the form a+bi. 5+6i 5+6i 6+ i (Simplify your answer. Type an integer or a fraction. Type your answer in the form a+bi.)

Answers

Answer:

$-(6)/(37) + (371)/(37)i$

Step-by-step explanation:

We need to evaluate $((5+6i)(5+6i))/(6+i)$

(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i

= $(-11+60i)/(6+i)$

Now we rationalize the denominator.

Now, multiplying both the numerator and denominator by (6-i)

$(-66 + 11i + 360i - 60i^2)/(36 - i^2) = (-66 + 60 + 371i)/(37) = (-6 + 371i)/(37)$

= $-(6)/(37) + (371)/(37)i$

Formula used:

(a+b)² = a² + b² + 2ab

i² = -1

Does Anyone Know This?

Answers

Answer:

Pretty sure its B

Step-by-step explanation:

Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0

Answers

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

$\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]$

Hence,

The property shown in matrix addition given is "Additive Inverse Property"

During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a rate of 3 inches per hour for the next 5 hours, and at a rate of 0.75 inch per hour for the final hour.How many inches of snow accumulated from the storm?

Answers

Answer:

use f(x)=y=mx+b

let snow = S, time = t instead of y and x

S(t)=mt+b

The rate of inches per hour represents the slope of the graph, m.

The y-variable would be the amount of snow, S.

The x-variable would be the time, t, in hours.

The function has three pieces:

i) S(t)= 2t (slope = 2)

ii) S(t) = 3t (slope = 3)

iii) S(t) = 0.75t (slope = 0.75)

For the first piece, i), t=3, so the amount of snow is 6 inches.

For the second piece, ii) t=5, so the amount of snow is 15 inches.

For the third piece, iii) t=1, so the amount of snow is 0.75 inch.

In total, it snowed 21.75 inches.

total snow

Final answer:

To find the total accumulation of snow during the nine-hour snowstorm, we calculate the snow accumulation for each hour and then sum them up. The total accumulation of snow from the storm is 21.75 inches.

Explanation:

To find the total accumulation of snow during the nine-hour snowstorm, we need to calculate the amount of snow that fell during each hour and then sum them up. First, we calculate the snow accumulation for each hour:

For the first 3 hours, it snowed at a rate of 2 inches per hour, so the accumulation is 3 * 2 = 6 inches.
For the next 5 hours, it snowed at a rate of 3 inches per hour, so the accumulation is 5 * 3 = 15 inches.
For the final hour, it snowed at a rate of 0.75 inch per hour, so the accumulation is 1 * 0.75 = 0.75 inches.

Finally, we sum up the accumulations for each hour: 6 + 15 + 0.75 = 21.75 inches. Therefore, the total accumulation of snow from the storm is 21.75 inches.