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Leokris [45]
3 years ago
10

What's -128+138r=718 equal

Mathematics
1 answer:
german3 years ago
5 0

Answer:

r = 6 3/23

Step-by-step explanation:

-128+138r=718

add 128 to each side

-128+128+138r=718+128

138r = 846

divide each side by 138

138r/138 = 846/138

r = 846/138

divide top and bottom by 2

r = 423/69

divide top and bottom by 3

r = 141/23

change this to a mixed number

r = 6 3/23

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definition of implication: why does P(x) v Q(x) become ~Q(x) -> P(x) rather than ~P(x) -> Q(x)?
insens350 [35]
The easiest way to prove equivalence is to draw out a truth table and then compare the values. I'm going to show a truth table using proposition logic, it's the same result as using predicate logic. 
P(x) v Q(x)

P |Q || PvQ  || ~Q->P  <----Notice how this column matches the PvQ but if you were to 
---|---||--------||----------  <----continue the truth table with ~P->Q it would not be equivalent
T   T      T           T   
T   F      T           T
F   T      T           T
F   F      F           F

Let me know if you would like an example, if the truth table doesn't help. 
6 0
3 years ago
According to Chef Robert Sevaly, pressure cookers "really are a timesaver, cutting your cooking time by three-fourths." If a per
solniwko [45]

Answer:

1. Cooking time saved in a month = 42.86 * 3/4 = 32 hours

2. Cooking time saved in a year = 520 * 3/4 = 390 hours

3. Since the household saves 390 hours in a year using pressure cooker, it will then save 390 * $2 = $780

Step-by-step explanation:

Hours spent cooking on average per week = 10 hours

Hours spend cooking on average per day = 1.43 (10/7), assuming 7 days in a week

Total hours spent on average per month = 42.86 (30 * 10/7), assuming 30 days in a month

Total hours spent on average per year = 520 (52 * 10) hours, assuming 52 weeks in a year.

Savings in time = 3/4

Therefore, the cooking time saved in a month = 42.86 * 3/4 = 32 hours

And the cooking time saved in a year = 520 * 3/4 = 390 hours

If on the average, a household spends $20 in natural gas for cooking per month, the money it would save by using a pressure cooker in a year will be equal to:

Cost of each hour of cooking without pressure cooker = $20/10 = $2 per hour

Since the household saves 390 hours in a year using pressure cooker, it will then save

= Hours saved multiplied by hourly cost of gas

= 390 * $2

= $780

6 0
3 years ago
Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle o
xz_007 [3.2K]
Answer:41.81 degrees

Step by step solution: see photo

8 0
3 years ago
Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0
3 years ago
What is the mesure of
lara [203]
What are we measuring
4 0
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