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4 years ago

What is 19/20 minus 11/20??????

Mathematics

2 answers:

USPshnik [31]4 years ago

8 0

$\frac{19}{20}-\frac{11}{20}=\frac{19-11}{20}=\boxed{\frac{8}{20}=\frac{8:4}{20:4}=\frac{2}{5}}$

Anna [14]4 years ago

8 0

Answer:

19/20-11/20 is 8/20, or 2/5 in simplest form.

Step-by-step Explanation:

These are both like terms already, so you can just subtract: 19-11=8

Then, since they both have the same denominator, you will just take 8 and put it over 20, like so: 8/20

However, this fraction can be simplified.

The GCF of these two numbers is 4. So, 8÷4=2 and 20÷4=5

So, 2 is the numerator and 5 is the denominator, meaning that you would have 2/5 as your answer.

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A dog cased a cat up a tree. The cat is 14 feet up the tree. if the dog is standing 3 feet from the tree what is the distance fr

olga2289 [7]

Answer:

11 feet

Step-by-step explanation:

14 (cat)

3 (dog)

14 - 3 = 11

3 0

3 years ago

Read 2 more answers

Find a.b. a=3i+2j-k, b=4i+5k

Tomtit [17]

Answer: $a\cdot b= 7$

Step-by-step explanation:

We are given

$a=3\hat{i}+2\hat{j}-\hat{k}$

$b=4\hat{i}+5\hat{k}$

They can be written as

$a=3\hat{i}+2\hat{j}+(-1)\hat{k}$

$b=4\hat{i}+0.\hat{j}+5\hat{k}$

Now , the dot product of and b is given by :-

$\Rightarrow\ a\cdot b= (3\hat{i}+2\hat{j}+(-1)\hat{k})\cdot(4\hat{i}+0.\hat{j}+5\hat{k})$

$\Rightarrow\ a\cdot b=3\cdot 4 \cdot\hat{i}\cdot\hat{i}+2\cdot0\cdot\hat{j} \cdot\hat{j}+ (-1)\cdot 5 \cdot \hat{k}\cdot \hat{k}$

$\Rightarrow\ a\cdot b=12 \cdot\hat{i}^2+0-5 \cdot \hat{k}^2$

$\Rightarrow\ a\cdot b=12 \cdot(1)+0-5 \cdot (1)$ [Since $\hat{i}^2=\hat{k}^2=1$ ]

$\Rightarrow\ a\cdot b=12 -5=7$

Therefore , the value of the dot product $a\cdot b= 7$

5 0

3 years ago

How would I solve for h?

alexandr1967 [171]

You have to get h by itself first

7 0

3 years ago

2/5 kg of soul fills 1/3 of a container so 1 kg of sulfate in the container? Explain or show your reasoning

Softa [21]

Answer:

Yes, we can put 1 kg of the soul in the container.

Step-by-step explanation:

Consider the provided information.

2/5 kg of soul fills 1/3 of a container.

It means if we put 2/5 kg of the soul 3 times in the container then the container will be full.

$\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=\frac{6}{5}$

It means $\frac{6}{5}$ kgs of soul fill the container.

$\frac{6}{5}$ is greater than 1 so it means we can put 1 kg of the soul in the container.

6 0

3 years ago

Part 4: Use the information provided to write the vertex formula of each parabola.

sergey [27]

Answer: 1. x = (y - 2)² + 8

$\bold{2.\quad x=-\dfrac{1}{2}(y-10)^2}+1$

3. y = 2(x +9)² + 7

<u>Step-by-step explanation:</u>

Notes: Vertex form is: y =a(x - h)² + k or x =a(y - k)² + h

(h, k) is the vertex
point of vertex is midpoint of focus and directrix: $\dfrac{focus+directrix}{2}$

$\bullet\quad a=\dfrac{1}{4p}$

p is the distance from the vertex to the focus

$focus = \bigg(\dfrac{-31}{4},2\bigg)\qquad directrix: x=\dfrac{-33}{4}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{-31}{4}+\frac{-33}{4}}{2}=\dfrac{\frac{-64}{4}}{2}=\dfrac{-16}{2}=-8\\\\\text{The y-value of the vertex is given by the focus as: 2}\\\\\text{vertex (h, k)}=(-8,2)$

Now let's find the a-value:

$p=focus-vertex\\\\p=\dfrac{-31}{4}-\dfrac{-32}{4}=\dfrac{1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{4})}=\dfrac{1}{1}=1$

Now, plug in a = 1 and (h, k) = (-8, 2) into the equation x =a(y - k)² + h

x = (y - 2)² + 8

***************************************************************************************

$focus = \bigg(\dfrac{1}{2},10\bigg)\qquad directrix: x=\dfrac{3}{2}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{1}{2}+\frac{3}{2}}{2}=\dfrac{\frac{4}{2}}{2}=\dfrac{2}{2}=1\\\\\text{The y-value of the vertex is given by the focus as: 10}\\\\\text{vertex (h, k)}=(1,10)$

Now let's find the a-value:

$p=focus-vertex\\\\p=\dfrac{1}{2}-\dfrac{2}{2}=\dfrac{-1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}$

Now, plug in a = -1/2 and (h, k) = (1, 10) into the equation x =a(y - k)² + h

$\bold{x=-\dfrac{1}{2}(y-10)^2}+1$

***************************************************************************************

$focus = \bigg(-9,\dfrac{57}{8}\bigg)\qquad directrix: y=\dfrac{55}{8}\\\\\text{Since directrix is y, then the y-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{57}{8}+\frac{55}{8}}{2}=\dfrac{\frac{112}{8}}{2}=\dfrac{14}{2}=7\\\\\text{The x-value of the vertex is given by the focus as: -9}\\\\\text{vertex (h, k)}=(-9,7)$

Now let's find the a-value:

$p=focus-vertex\\\\p=\dfrac{57}{8}-\dfrac{56}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2$

Now, plug in a = 2 and (h, k) = (-9, 7) into the equation y =a(x - h)² + k

y = 2(x +9)² + 7

4 0

3 years ago