Jonah had 4 books Stacy had 7 books how many books did they not have

Answers

Answer 1
Answer:
The number of books that they did not have
is 11 less than all the books in the world.



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What is an area of a unfolded box bottom?

Answers

It's the product of the length and width of the box.

The bottom has a height of 5, and a length of 30, so multiply and you get 150. Easier if I posted the answer.

if (ax+2)(bx+7) = 15xsquared + cx +14 for all values of x, and a+b =8, what are the two possible values for c?

Answers

The two possible values for c are 31 and 41

Step-by-step explanation:

Given Expression:

(a x+2)(b x+7)=15 x^(2)+c x+14

a + b = 8

To expand,

Multiply a x with (b x + 7) =  a b x^(2)+7 a x

Multiply 2 with (b x + 7) = 2 b x +14

Now, combining the above, we get

         a b x^(2)+7 a x+2 b x+14=15 x^(2)+c x+14

         a b x^(2)+x(7 a+2 b)+14=a b x^(2)

When comparing both sides, we get

a b = 15, 7 a + 2 b = c

          a=(15)/(b) \text { or } b=(a)/(15)

Now, substitute above value in a + b = 8. So,

         (15)/(b)+b=8

         15+b^(2)=8 b

        b^(2)-8 b+15=0

Factorising above, we get the equation as

       b^(2)-3 b-5 b+15=0

       (b - 3) (b - 5) = 0

b = 3 and 5

If b = 3, then

       a=(15)/(b)=(15)/(3)=5

If b = 5, then

       a=(15)/(5)=3

If a = 3, b = 5

c =7 a + 2 b = 7 (3) + 2 (5) = 21 + 10 = 31

If a = 5, b = 3

c =7 (5) +2 (3) = 35 + 6 = 41

Therefore, the values of ‘c’ are 31 and 41.

40x8=. Tens x 8 =. Tens =

Answers

40x8=320

That’s all I can answer I’m not really sure I understand the rest of the question

When you add the same number to both sides of an inequality , does the inequality remain true

Answers

Yes, The Reason Why, Is If You Add The Same To Both Sides, It Still Remains True. For Example:
10*5+2 < 10*6
But, If You Add 6 To Both Sides:
10*5+8< 10*6+6.
It Is The Same As
50+8<60+6.
In Conclusion, This Means That As Long As You Add The Same Number To Both Sides, Not Just One, But Both Sides, Your Inequality Will Always Stay The Same! (Unless You Change Something That You Aren't Supposed To Like Making Is (10+6)*5+2 < 6*10+6)
It would be the same, because the number is the same, so an example:
4*3 and 5*3, it would be 12 and 15, but if you add 5 to each side, then it would be, 4*3+5 and 5*3+5, then you would get 17 and 20. So to answer the question, yes the inequality would remain true because the number that you are adding to each side is the same. It is the same with dividing and multiplying and subtracting.

The probability of a particular event is 3/8. What is the probability that the event will not happen? Explain

Answers

(Probability of it Happening) + (Probability of it not Happening) = 1 (or 100%)

this makes since because it is for sure either going to happen or not happen.
x = probability not happening
3/8 + x = 1
x = 1- 3/8
x = 5/8 (or 62.5%)

Answer:

5/8 or 62.5%

Step-by-step explanation:

It is simple. Use 8/8 and subtract it by the probability of an event happening and you will get 5/8

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?A.$9.72
B.$21.87
C.$97.20
D.$218.70

Answers

Answer:

C. $97.20

Step-by-step explanation:

Let the dinner bill be $x.

The tip given to the waiter is $14.58.

Also, it is given that the tip is 15% of the tip.

Thus we get the relation 15% of x = 14.58

i.e. 0.15x = 14.58

i.e. x=(14.58)/(0.15)

i.e. x = 97.20

Hence, the amount of dinner bill before the tip is added is given by $97.20

the answer is :

the amount of the bill before the tip = 14.58 *100 /15 =  97.20 $