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Tania has 56 liters of milk. She uses the milk to make muffins and cakes. Each batch of muffin requires 7 liters of milk and eac

Sophie [7]

Equally divide 56 into 2 halves. 28 liters. 28 liters for muffins and 28 liters for cakes.

(muffins require 7 liters) 28÷7= 4
(cakes require 4 liters) 28÷4=7
x= 4 batches of muffins
y= 7 batches of cakes.

4 0

4 years ago

What is 9/16 x 12/13 and 7/10 x 5/28

lilavasa [31]

Answer:

1. 9/16 * 12/13 = 27/52

2. 7/10 * 5/28 = 1/8

Step-by-step explanation:

1.

9 / 16 * 12/13

9 * 12 = 108

16 * 13 = 208

108 / 208

Simplify:

27/52

2.

7 / 10 * 5 / 28

7 * 5 = 35

10 * 28 = 280

Simplify:

1/8

8 0

3 years ago

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3912 divided by 48!!!!!!!!! Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee

iogann1982 [59]

Answer:

81.5

Step-by-step explanation:

7 0

3 years ago

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A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle

Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is $\frac{b\times h}{2}$ , where b is the base and h is the height.

As we previously found, for this question, the

base = height = width of the paper = 5cm

Now, we just have to calculate it with the formula

$Area = \frac{base \times height}{2} \\\\
\\
Area = \frac{5 \times 5}{2} \\
\\
Area = \frac{25}{2}\\
 \\
Area = 12.5 cm^{2}$

learn more about the area of the triangle here: brainly.com/question/15442893

3 0

2 years ago

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

$(x-2)\\ (x-3)\\ (x-5)$

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

$x=2\\ x=3\\ x=5$

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

$(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0$

therefore

the answer Part b) is

the cubic polynomial function is equal to

$x^{3}-10x^{2} +31x-30=0$

7 0

3 years ago

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