MATHEMATICS COLLEGE

The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. 56x

Answers

Answer 1

Answer:

Given

a cuboid with length, width, height dimensions 5, 6, x

Find

the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume

Solution

The volume is given by

... V = L·W·H = 5·6·x = 30x

The area is given by

... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x

When these are equal, we have

... 30x = 60 +22x

... 8x = 60

... x = 7.5

The desired value of x is 7.5.

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Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.

How do you solve this math problem 6x-5y=712x-10y=1

Answers

Combine like terms then either leave it where you get it or out in standard form

I found it easier to break them up and find the values of x and y singularly.. thats what I did in part 1.

Then plugging them in to find the values of the x and y foe the equation.. thats part 2

I wont lie these answer just look weird and could be wrong... but in math thats kinda normal so im not 100% but hopefully I was able to help in some way

out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at random. what is the probability that the favorite drink of the student is (a) Coke (b) fanta (c) neither Coke nor fanta (d) either Coke or fanta

Answers

Answer:

a) 0.7

b) 0.3

c) 0

d) 1

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Coke

Out of 10, 7. So

$p = (7)/(10) = 0.7$

(b) fanta

3 out of 10. So

$p = (3)/(10) = 0.3$

(c) neither Coke nor fanta

7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:

$p = (0)/(10) = 0$

(d) either Coke or fanta

All 10. Thus:

$p = (10)/(10) = 1$

Tobias is lifting weights and records the total number of reps he does every day. Suppose A represents the number of reps and B represents the day. Which of the following accuratelydescribe this situation?
A. A is a function of B and B is a function of A
B. A is a function of B
C B is a function of A
D. Neither is a function of the other

Answers

Final answer:

The number of reps Tobias does depends on the day, thus 'A' is a function of 'B'. The number of reps in itself does not determine the day, so 'B' cannot be a function of 'A'. The correct answer is 'A is a function of B'

Explanation:

In this situation, each day Tobias lifts weights, he carries out a certain number of reps. So, the number of reps (A) he does is dependent on the day (B), hence, A is a function of B. It simply means that for every day (input), there's a corresponding number of reps (output). It is not necessarily true that for each specific number of reps, there is a specific day. Hence, B cannot be said to be a function of A. Therefore, the correct answer is 'A is a function of B'.

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MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO

Answers

Answer:

fwe

Step-by-step explanation:

Find two consecutive positive integers such that the square of the first decreased by 67 is equal to three times the second

Answers

Answer:

The numbers are 10 and 11.

Step-by-step explanation:

Let $x$ and $x+1$ be consecutive positive integers.

When the problem says that the square of the first decreased by 67 this means $x^2-67$ and this is equal to three times the second $3(x+1)$ .

So $x^2-67=3(x+1)$ will be our equation.

Next, we solve the equation:

$x^2-67=3x+3\n\nx^2-70=3x\n\nx^2-3x-70=0$

Solve by factoring

$x^2-3x-70= \left(x^2+7x\right)+\left(-10x-70\right)\n\nx^2-3x-70=x\left(x+7\right)-10\left(x+7\right)\n\nx^2-3x-70=\left(x+7\right)\left(x-10\right)=0$