MATHEMATICS HIGH SCHOOL

The quotient of a number and 4 decreased by 8 is 5. What is the number?

Answers

Answer 1

Answer:

Answer: 52

Step-by-step explanation:

Let's solve this equation step by step. The quotient of a number and 4 decreased by 8 is 5.

Step 1: Let's represent the unknown number as "x".

Step 2: The quotient of a number and 4 can be written as x/4.

Step 3: Decreased by 8 means subtracting 8 from the quotient, so we have (x/4) - 8.

Step 4: According to the equation, (x/4) - 8 = 5.

Step 5: Now, let's solve for x. Add 8 to both sides of the equation to isolate the x term.

(x/4) - 8 + 8 = 5 + 8

(x/4) = 13

Step 6: Multiply both sides of the equation by 4 to get rid of the fraction.

4 * (x/4) = 4 * 13

x = 52

Therefore, the number is 52.

Answer 2

Answer:

Answer: 52

Step-by-step explanation:

First, we will write a mathematical equation to represent this situation. Let n be "a number."

$\displaystyle (n)/(4) -8=5$

Add 8 to both sides of the equation:

$\displaystyle (n)/(4)=13$

Multiply both sides of the equation by 4:

$\displaystyle n=52$

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What is the solution set for x in log4(x+5)+log4x=log4 14

Answers

$log_ {4} (x+5) + log_4(x) = log_4(14)$

For logs with same base :

$log_b(f(x)) + log_b(g(x)) = log_b(f(x)*g(x))$

$Log_4(x+5) + log_4(x) =log_4((x+5)x)$

$log_4((x+5) = log_4(14)$

When the logs have the same base :

$log_b(f(x)) = log_b(g(x))$

$F(x) = g(x)$

For $log_4((x+5)x) = log_4(14)$

Solve $(x+5)x = 14$

expand

$(x+5)x = x^2 + 5x$

$x^2+5x+14$

$(x-2)(x+7) = 0$

$x = 2 , x = - 7$

Therefore, the final solution : $x = 2$

hope this helps!

And explain why is that is the answer

Answers

3. With Inverse functions you just swap the x and the y values

3 function because it has purenteses

PLEASE HELPA hot air balloon is at a height of h feet.
Which expressions represent a change in height of 5 ft?
Choose exactly two answers that are correct.
A. h/5
B. 5*h
C. h+5
D. h-5
I have more questions do if you are willing to help with more than this than let me know.

Answers

Since the balloon is at h height and has a change of 5 ft that means it could go up (+5) or down (-5) ft. So the answer would be c and D

h+5 and h-5

A = bh; solve for h
h =

Answers

Answer:

The value of h is

h = A/b.

(03.06)A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.

f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80

Answers

Given:
Week 5 = 60 dumpster load
Week 10 = 40 dumpster load

60 - 40 = 20
5 - 10 = 5

20/5 = 4 dumpster load per week.

Week 0 to Week 5 = 20 ⇒ 20+60 = 80

f(x) = -4(x) + 80
f(5) = -4(5) + 80
f(5) = -20 + 80
f(5) = 60

f(10) = -4(10) + 80
f(10) = -40 + 80
f(10) = 40

Answer:

Step-by-step explanation:

I dont have proof but I promise you its right. :)

Find perimeter of a square if its diagonal is 10 cm

Answers

Answer:

20√2 cm

Step-by-step explanation:

The diagonal of a square forms a right triangle with it's 2 sides.

Going step by step, lets refer to the side of a square as x.

Our triangle will have 2 legs of x and a diagonal of 10. We can either use the 45:45:90 method or use Pythagorean. The 45:45:90 method is more simpler so I will show the step by step method through Pythagorean, which the 45:45:90 method is derived from anyways.

x^2 + x^2 = 10^2

2x^2 = 100

x^2 = 50

x = √50 = 5√2

The perimeter is equal to the sum of all the square's sides, which modeled by x would equal 4x.

so the perimeter would be 4 * 5√2 which is 20√2

Hope this helps :)

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An odd number on a spinner with equal sized sections labeled 1-8A. a number less than 4 B. a number greater than 4 C. a multiple of 3 D. an even number