30 POINTS!

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer:

The correct answare would be 3.54 x 10^22 N

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Use the rule for order of operations to simplify the expression as much as possible 67−4(3⋅8−10)=

PilotLPTM [1.2K]

$67-4\cdot(3\cdot8-10)=67-4\cdot(24-10)=\\\\=67-4\cdot14=67-56=\boxed{11}$

6 0

3 years ago

Solve the inequality for x. 75+15x is greater than or equal to 140

Gre4nikov [31]

75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

The final answer is x ≥ 4 1/3~

8 0

3 years ago

Bob and Tom each have a bag of 100 chocolate candies. Bob has 53 left and Tom has

arlik [135]

Answer:

He has 47

Step-by-step explanation:

if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47

5 0

3 years ago

Show that for any real number x ≥ 0 the set (x,x + 1]∩N is a singleton set

inessss [21]

Answer: First, a singleton set is the set with only one element, for example, the set {∅} or set "null" is a singleton.

now, X ≥ 0, and X ∈ R.

(x,x + 1]∩N is the intersection between the set x and x+1 with the set of natural numbers, so the result of this operation is the set of all the natural numbers between x and x+1.

if x is a rational (or irrational) number, such as 1.5, then x +1 = 2.5

in (1.5, 2.5] there is only one natural element, the 2, then (x,x + 1]∩N is the singleton {2}

if x is a positive integer number, such as 1, then x + 1 = 2

the set is (1,2] is important to notice that 1 ∉ (1,2] because the set is open in the lower limit. so this set only contains one natural number, the 2; so again; the intersection with the natural set is a singleton

So this is proven for x rational, irrational and integers.

This happens because each element in the natural set is separated by the next one by 1, and in the set (x,x + 1] although the distance between the lower and upper limits is 1, the set is open in the lower limit, so the distance is < 1. then you never can have two natural numbers on this set.

8 0

3 years ago

Need help now please help

siniylev [52]

I give numbers to the box, box 1 to 9 so you can understand my explanation well. See image attached.

Fill in Box 4
box 4 multiplied by box 2 is equal to box 5
box 4 × 0.3 = 1.5
box 4 = $\dfrac{1.5}{0.3}$
box 4 = 5
The number on the box 4 is 5

Fill in Box 8
box 2 multiplied by box 7 is equal to box 8
0.3 × 15 = box 8
box 8 = 0.3 × 15
box 8 = 4.5
The numbers on the box 8 is 4.5

Fill in Box 3
box 3 multiplied by box 7 is equal to box 9
box 3 × 15 = 6
box 3 = $\dfrac{6}{15}$
box 3 = 0.4
The numbers on the box 3 is 0.4

Fill in Box 6
box 3 multiplied by box 4 is equal to box 6
0.4 × 5 = box 6
box 6 = 0.4 × 5
box 6 = 2
The number on the box 6 is 2

5 0

4 years ago