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3 years ago

8

Brooke has to set up 70 chairs in equal rows for the class talent show. But there is not room for more than 20 rows. What are th

e possible number of rows that Brooke could set up?

1 answer:

earnstyle [38]3 years ago

3 0

14 rows
10 rows
7 rows
5 rows

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If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total

Deffense [45]

Answer:

Cost function = 40a + 500

Cost of 90 articles = $4,100

Step-by-step explanation:

The fixed cost is $500 and it will.not change regardless of production level.

The Variable cost is $40 and increases by every additional unit produced.

Assume the number of articles produced is a.

Cost function would be:

Total cost = Variable cost * Number of articles + Fixed cost

TC = 40a + 500

Using this, the cost of 90 articles is:

= 40 * 90 + 500

= $4,100

6 0

3 years ago

**hint** Find the hypotenuse and then subtract that from the distance he actually traveled.

icang [17]

Answer:

10 miles

Step-by-step explanation:

5 0

2 years ago

10 m<br> 8 m<br> 6.2 m<br> 8 m<br> What’s the area

hjlf

Answer:

what's the shape? that's important to

8 0

3 years ago

Express answer in exact form.

Kruka [31]

We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²

area of a circle=pi*r²

in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²

the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of the circle minus the area of 1 equilateral triangle
</span>so
[ (3/2)*pi in²-(9/4)*√3 in²]

the answer is
[ (3/2)*pi in²-(9/4)*√3 in²]

6 0

3 years ago

What is the equation of the line that passes through the point (-2,5) and has a<br> slope of -4?

adoni [48]

Answer:

$\boxed {\boxed {\sf y= -4x -3}}$

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

m= -4
x₁= -2
y₁ = 5

Substitute the values into the formula.

$y-5 = -4 (x--2)$

$y-5 = -4 (x+2)$

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

$y-5=( -4 *x ) + (-4* 2 )$

$y-5 =(-4x)+ (-8)\\y-5= -4x -8$

5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.

$y-5 =-4x -8 + 5$

$y= -4x -3$

The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.

6 0

3 years ago