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Viktor [21]
2 years ago
8

Please answer all three of the questions <3

Mathematics
1 answer:
Olenka [21]2 years ago
4 0

Answer:

1) D because the answer to 8.42*10^3=8420

and 8420 lies between 8400 and 8500

2) C because when you take the absolute value of -2.3 and -3.2, they become positive numbers => 2.3 < 3.2

3)D because 6 < 6.3 < 6.6

Hope it helps!

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Can someone please help me?
Ulleksa [173]

Part (a)

We have some unknown number x which is a placeholder for a positive whole number (eg: x = 4).

What's happening to x are these two things, in this exact order

  1. Multiply by 85
  2. Add 60

We multiply first, then add. The order is important. We're following the order of operations PEMDAS here. If we knew what x was, then we'd go forward in the PEMDAS chain; however, we don't know what x is. So we go backwards in the chain to isolate x. This will undo every operation applied to x.

So,

C = 85x+60

C-60 = 85x

85x = C-60

x = (C-60)/85

In the second step, I subtracted 60 from both sides to undo the "plus 60" operation. Then in the last step, I divided both sides by 85 to undo the multiplication.

<h3>Answer:   x = (C-60)/85</h3>

===============================================================

Part (b)

How many ski trips can we take if we spend $315? We simply plug in C = 315 into that equation we just found at the end of part (a).

Doing so gets us...

x = (C-60)/85

x = (315-60)/85

x = 255/85

x = 3

We can take 3 ski trips if we spent a total of $315

Repeat the same steps for C = 485

x = (C-60)/85

x = (485-60)/85

x = 425/85

x = 5

We can take 5 ski trips if we spent a total of $485

Note how plugging something like x = 5 into the original equation yields:

C = 85x+60

C = 85*5+60

C = 425+60

C = 485

Showing that x = 5 leads to C = 485. This helps confirm the second answer. I'll let you check the first answer.

<h3>Answers: 3 trips and 5 trips respectively</h3>
6 0
3 years ago
I am thinking of n consecutive positive integers, the smallest of which is m. What formula represents the largest of these integ
weqwewe [10]

Answer:

m+n-1

Step-by-step explanation:

I am thinking of n consecutive positive integers. The smallest of these numbers is m.

So,

  • a_1=m - the first number,
  • a_2=m+1 - the second number,
  • a_3=m+2 - the third number,
  • ...
  • a_n=m+(n-1)=m+n-1 - the nth number.

The list of n consecutive positive integers is

m, \ m+1,\ m+2,\ m+3, \ ... ,\ m+n-1

The largest integer is m+n-1

3 0
3 years ago
Read 2 more answers
A and B are two points on square ABCD with coordinates A(1,3) and B(5,3). What are the lengths of the diagonals AC and BD? Round
lilavasa [31]

Answer:

AC = BD = 5.7

Step-by-step explanation:

Given

A = (1,3)

B = (5,3)

Required

The length of the diagonals

First, calculate the length of AB using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

AB = \sqrt{(1 - 5)^2 + (3 - 3)^2}

AB = \sqrt{(-4)^2 + 0^2}

AB = \sqrt{16}

AB = 4

The diagonal of a square is calculated using:

Diagonal = x\sqrt{2

Where x is the length of each side.

So:

AC = BD = AB\sqrt{2}

AC = BD = 4\sqrt{2}

AC = BD = 5.7 -- approximated

7 0
3 years ago
Which is an objects mass? A-it’s color B-it’s shape C-how much matter it has D-how much space it takes up
Nookie1986 [14]

Answer: The answer is C.


Step-by-step explanation:


5 0
3 years ago
I need help on this question pls!
wlad13 [49]

Answer:103

Step-by-step explanation: find the av and then add till u git a nuber u like and submit it

5 0
2 years ago
Read 2 more answers
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