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3 years ago

10*(80+5)6-1

1 answer:

6 0

Parenthesis
Exponent
Multiply
Divide
Add
Subtract
First Parenthesis
So we have 80+5=85.
Now let's rewrite the problem. 10*85*6-1.
I put the * sign because when you have a number like this: (10+5)1 It means you will subtract it by the number outside of the parenthesis. Now we need to move onto multiplication because there are no exponents so we skip that.
Lets multiply from left to right.
So we have 10*85*6-1 so lets start with 10*85=850
Now we have
850*6-1 So let's do 850*6=5100
Now 5100-1=5099
So your answer is 5099

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The number of words carla can type varies directly with the number of minutes she types. carla can type 114 words in 3 minutes.

Orlov [11]

114 words /3 minutes = 38 words/minute

The amount of words she can type per minute is directly related to the number of minutes she types. So it is a linear equation.

y = 38 * x

In three minutes (x = 3), y = 114 words.

7 0

4 years ago

Three different non-zero digits can be arranged in six different ways to

alex41 [277]

Answer:

1134

Step-by-step explanation:

We have 3 digits:

a, b, c

a 3 digit number can be written as:

a*100 + b*10 + c*1

Such that these numbers can be:

{1, 2, 3, 4, 5, 6, 7, 8, 9}

Let's assume that:

a < b < c

Then the 3 smaller numbers are:

a*100 + b*10 + c

a*100 + c*10 + b

b*100 + a*10 + c

The 3 larger numbers are:

b*100 + c*10 + a

c*100 + a*10 + b

c*100 + b*10 + a

We know that the sum of the 3 smaller numbers is equal to 540, then:

(a*100 + b*10 + c) + (a*100 + c*10 + b) + (b*100 + a*10 + c) = 540

Let's simplify this:

(a + a + b)*100 + (b + c + a)*10 + (c + b + c) = 540

(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540

The sum of the 3 larger numbers is equal to X, we want to find the value of X:

(b*100 + c*10 + a) + (c*100 + a*10 + b) + (c*100 + b*10 + a) = X

Now let's simplify the left side:

(b + c + c)*100 + (c + a + b)*10 + (a + b + a)*1 = X

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

Then we have two equations:

(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

Notice that the terms are inverted.

By looking at the first equation, we can see that:

(2c + b) = 10 (because the units digit of 540 is 0)

Then, we can see that:

(b + c + a + 1 ) = 14 (the one comes from the previous 10)

finally:

(2a + b + 1) = 5 (the one comes from the previous 14)

Then we can rewrite:

(2*c + b) = 10

(b + c + a) = 14 -1 = 13

(2a + b) = 5 - 1 = 4

Now we can replace these 3 in the equation:

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

(10)*100 + (13)*10 + 4 = X

1000 + 130 + 4 = X

1134 = X

The sum of the 3 largest numbers is 1134.

6 0

3 years ago

The fence is 68 feet long and 1/2 feet thick. 7 feet of space is between each post. How many posts are used for the fence. I thi

kolezko [41]

Answer:

We could say 10

Step-by-step explanation:

1) Remove unneeded info

2) Divide the length by the distance between posts

68/7

3) Will give you a decimal but ro7nd up to 10

8 0

3 years ago

Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply. The le

vazorg [7]

<h2>Answer </h2>

You should check the following:

The length of AB is 2

The length of A'B' is 3

The scale factor is $\frac{3}{2}$

<h2>Explanation</h2>

- To find the length of AB, we will use the distance formula:

$d(A,B)=|x_{1}-x_{2}|$

From the picture we can infer that $x_{1}=2$ and $x_{2}=4$ , so let's replace the values.

$d(A,B)=|2-4|$

$d(A,B)=|-2|$

$d(A,B)=2$

The length of AB is 2, so you should check the first answer

- To find the length of A'B', we will use the distance formula one more time:

From the picture we can infer that $x_{1}=3$ and $x_{2}=6$ , so let's replace the values.

$d(A',B')=|3-6|$

$d(A',B')=|-3|$

$d(A',B')=3$

Since the length of A'B' is 3, you should also check the second answer as well.

- In a transformation (in this case a dilation) the pre-image is the original shape and the image is the shape after the transformation.

Since the image is bigger than the pre-image, the third answer is false.

- Let $k$ be the scale factor

We know that the length of AB is 2 and we need to multiply that length by the scale factor to get length of A'B' i.e 3, so:

$2k=3$

$k=\frac{3}{2}$

Since the scale factor is $\frac{3}{2}$ , you should check the fourth answer as well.

- We already prove that the scale factor is $\frac{3}{2}$ , so the fifth answer is false.

5 0

4 years ago

Read 2 more answers

It’s my first time here I need help on this question

OverLord2011 [107]

Answer:

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Step-by-step explanation:

3 0

3 years ago