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2 years ago

On a school trip, 4 adults are required to supervise a

Mathematics

2 answers:

lara31 [8.8K]2 years ago

8 0

Answer:

5 adults

Step-by-step explanation:

So 4 adults are taken for 32 children. We can use 32 divided by 4 to see how many children it takes to assign an adult. the answer to this would be 8. if 8 more children are added ( which would make 32+8 which is 40) than another adult would be needed.

Lilit [14]2 years ago

4 0

5 adults would be needed for 40 children

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The length, with, and height of a rectangular prism can be represented by the expressions (x+3),(x+7),and(x-1). Write an express

joja [24]

Answer: 6x² + 36x + 22

Step-by-step explanation:2 faces (x + 3) by (x + 7), area of both these faces 2(x+3)*(x + 7)

2 faces (x + 3) by (x - 1), area of both these faces 2(x+3)*(x - 1)

2 faces (x -1 ) by (x + 7), area of both these faces 2(x-1)*(x + 7)

Whole surface area is

2(x+3)*(x + 7) + 2(x+3)*(x - 1) + 2(x-1)*(x + 7) =

=2(x² + 3x +7x +21) + 2(x² +3x -x - 3) + 2(x² - x +7x -7)=

=2x² + 20x +42 + 2x² + 4x - 6 + 2x² + 12x -14 =

= 6x² + 36x + 22

5 0

1 year ago

Read 2 more answers

What is the solution set to 8(2x - 3) s 20 - 4X?

Zolol [24]

Answer:

Step-by-step explanation:

8 0

2 years ago

15% off the original price of $350, plus 6% sales tax

jonny [76]

Step 1. 100-15=85
Step 2. $350 *.85=$297.50
Step 3. $297.50 * .06= $17.85
Step 4. $297.50+17.85=$315.35

Answer: $315.35

7 0

2 years ago

A student earns $11.75 per hour for gardening. if she worked 21 hours this month, then how much did she earn? show work

ankoles [38]

Answer:

$246.75

Step-by-step explanation:

A student earns $11.75 for 1 hour

If she works for 21 hours this month then the total amount earned can be calculated as follows

= 11.75 × 21

= 246.75

Hence the total amount earned this month is $246.75

4 0

2 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

2 years ago