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2 years ago

11

Hallie is helping put away dishes in the school cafeteria . She is stacking bowls to put into the cupboard. If she has 62 bowls

and can put a maximum of 4 bowls in each stack , what is the minimum number of stacks hallie will have ?

2 answers:

poizon [28]2 years ago

7 0

15 and a half stack but I would round to 16

aliina [53]2 years ago

3 0

The minimum number of Halle will have 15 stacks.

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Questions are in the screenshot.

White raven [17]

For question 4, $x = 18$ units,

For question 5, $x = 8.333$ units.

Step-by-step explanation:

Step 1:

Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.

We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.

Step 2:

For question 4, the first rectangle has a length of 9 units while the width is 3 units.

For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.

The ratio of the first rectangle to the second is;

$\frac{3}{6} : \frac{9}{x} , x = (9)(\frac{6}{3} ) = 18.$ So $x = 18$ units.

Step 3:

The shapes in question 5 are made of a square and a triangle.

For the first shape, the side length is 6 units while the side of the triangle is 10 units.

For the second shape, the side length is 5 units while the side of the triangle is x units.

The ratio of the first shape to the second is;

$\frac{6}{5} : \frac{10}{x} , x = (10)(\frac{5}{6} ) = 8.333.$ So $x = 8.333$ units.

6 0

3 years ago

Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t

Bezzdna [24]

Given a polynomial $p(x)$ and a point $x_0$ , we have that

$p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)$

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

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

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

$f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}$

To fix the correct value for a, we impose $f(4)=96$ :

$f(4) = 4a(4+4)(4-5) = -32a = 96$

And so we must impose

$-32a=96 \iff a = -\dfrac{96}{32} = -3$

So, the function we're looking for is

$f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x$

4 0

2 years ago

10 points !! <br> Which expression is equivalent to this polynomial x^2+12

Ilia_Sergeevich [38]

Answer:

x2+12 (except the 2 in small)

Step-by-step explanation:

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3 0

2 years ago

Find the first derivative of f'(a) using first principle, for the given value of

patriot [66]

Answer:

12.4

Step-by-step explanation:

5 0

2 years ago

What is 18123÷20 can you please write it our

-BARSIC- [3]

906.15 that’s your answer

7 0

2 years ago

Read 2 more answers