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Natali5045456 [20]

2 years ago

5

the county requires 2 teachers for every 45 students. Write a proportion that gives the number t of teachers needed for 315 stud

ents.

2 answers:

notka56 [123]2 years ago

7 0

Answer:

14

Step-by-step explanation:

if it's 2 teachers for every 45 students, I assume you would divide 315 by 45 which would give you 7 groups of 45. now for every group you would require 2 teachers. and 2 times 7 is 14.

diamong [38]2 years ago

3 0

Approximately you would need 14 teachers

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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

Pls solve question 4b. Verrry urgent . Ok tyy

kodGreya [7K]

Answer:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

Step-by-step explanation:

Given equation:

$y = 3x^2 - 9x + 17$

Factor out 3 from the first 2 terms:

$y = 3(x^2 - 3x) + 17$

Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4

Add this inside the parentheses and subtract the distributed value of it outside the parentheses:

$y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}$

Factor the parentheses and combine the constants:

$y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}$

8 0

1 year ago

alukav5142 [94]

Answer:

the median is 80.5

Step-by-step explanation:

first we put them in order

75,76,77,79,80,81,85,86,90,91

the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.

So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.

(80 + 81) / 2 = 161/2 = 80.5 <== the median

8 0

3 years ago

What is the area of the shape below

Bad White [126]

Answer:

The area of the shape is $A=886 \:cm^2$ .

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is $A=34\cdot 16=544\:cm^2$

The area of the second rectangle is $A=11\cdot19=209\: cm^2$

The area of a triangle is given by the formula $A=\frac{1}{2} bh$ where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is $A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2$

Finally, add the areas of the simpler figures together to find the total area of the composite figure.

$A_{composite\:shape}=544+209+133=886 \:cm^2$

3 0

3 years ago

A gardener combines x fluid ounces of 20% liquid fertilizer and 80% water mix with y fluid ounces of 5% liquid fertilizer and 95

ELEN [110]

X = 10 fluid ounces
y = 20 fluid ounces

5 0

2 years ago