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belka [17]
2 years ago
13

Please help, this makes no sense to me.

Mathematics
2 answers:
tamaranim1 [39]2 years ago
7 0

Answer:

Step-by-step explanation:

Keep in mind

-the fractions have to be EQUAL if they are equivalent fractions

-we multiply the numerator and denominator by the SAME number

-when comparing fractions think (how many slices / the size of the slice ) = (15 slices / size 20) is more than (12 slices / size 20)

Nat2105 [25]2 years ago
6 0

Answer:

\textsf{left} \ \ \dfrac{3 \times 5}{4 \times 5}=\dfrac{15}{20}\\\\\\\ \textsf{right} \ \ \dfrac{3 \times 4}{5 \times 4}=\dfrac{12}{20}\\\\\\\dfrac{15}{20}>\dfrac{12}{20} \ ,\textsf{so} \ \dfrac34>\dfrac35

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Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each
Furkat [3]

Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

8 0
3 years ago
Use the drop-down menus to complete each equation so the statement about its solution is true.
tino4ka555 [31]

Answer:

No solutions: 7−5+3x−1= 3x + 7

One solution: 7−5+3x−1= 2x + 4

Infinitely Many Solutions  7−5+3x−1= 3x + 1

Step-by-step explanation:

No solutions means it results in no x and a false statement like 3 = 0.

One solution means it results in x = a number.

Infinite solutions means its results in no x and in a true statement like 3=3.

  • So to get No solutions: 7−5+3x−1= 3x + 7

This will eliminate the x and result in 1 = 7 which is false.

  • One solution: 7−5+3x−1= 2x + 4

This will result in x= 3

  • Infinitely Many Solutions  7−5+3x−1= 3x + 1

This will eliminate the x and result in 1 = 1 which is true.

7 0
4 years ago
There are 6 people in a room. Each person shakes hands once. How many handshakes will there be?
Yuliya22 [10]

Answer:

B

Step-by-step explanation:

You have already asked this type of question. so now you know how to do this.

6 persons means he shook his hand with 5 people.

like wise add all handshakes

5+4+3+2+1= 15 handshakes

8 0
3 years ago
Hey yall so im taking a test and imm very confused on hwo to find the letter n for the equation
kotegsom [21]

Answer:

n = -7,6

Step-by-step explanation:

n(n+1)+3=45

distributive property: a(b+c) = ab+ac

n²+n+3 = 45

n²+n -42 = 0

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(n+7)(n-6) = 0

n = -7,6

8 0
4 years ago
Is the function even or odd?
sweet [91]

Answer:

f(\theta)=\cos(\theta) is an even function.

Step-by-step explanation:

Recall when it means when a function is even or odd. An even function has the following property:

f(-x)=f(x)

And an odd function has the following property:

f(-x)=-f(x)

So, let's test some values for cos(x).

Let's use π/3:

f(\pi/3)=\cos(\pi/3)

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).

Now, let's find -π/3. This is the same as 5π/3. Thus:

f(-\pi/3)=\cos(-\pi/3)

And again from the unit circle, we can see that this is 1/2.

Therefore, despite the negative, the function outputs the same value.

Cosine is an even function.

Notes:

Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!

6 0
3 years ago
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