How do i simplify fractions?

Enter an integer to represent the situation.<br><br><br> an elevator ride down 35 stories

Novosadov [1.4K]

Answer:

-35

Step-by-step explanation:

this is a simple but confusing question

however,

since they said down the elevator, and the negative integers reduces, therefore we have our answer as

-35

4 0

3 years ago

If measure of angle abd=48 and measure of angle dbc=78 find the measure of angle abc

slega [8]

Answer:

Step-by-step explanation:

given <abd = 48 and <dbc = 78, hence the addition rule is true<abc = <abd + < dbc

Substituting the given values inti the formula;

< abc = 48+78

< abc = 126°

The measure of angle abc is therefore 126°

7 0

3 years ago

· The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox has a height of 3 inches, and its length is 2 in

miskamm [114]

The volume of a cuboid is = length × width × height.

Let the width of Olivia's lunch box be 'x'.

Hence the length of Olivia's lunch box shall be 'x + 2'

Also the height of the box is given as 3 inches.

The volume of the box is 240 in³

Substituting in the formula we get

$x(x+2)(3) =240$

Dividing by 3 on both sides

$x(x+2)=80$

Exapnding we get

$x^2+2x=80$

Subtracting 80 from both sides

$x^2+2x-80=0$

Factoring

$(x+10)(x-8)=0$

We get

x= -10 or x = 8

But x cannot be negative

So x = 8

Hence the width of the box is 8 inches.

7 0

4 years ago

Read 2 more answers

Match the isometric drawing below with the correct orthographic? Is the answer I selected correct?

baherus [9]

Answer: Your answer is correct.

Explanation:
Use the marker gradations to identify the projected geometric shapes from the top, front and right side view as shown in the figure below.

All the gradation markings agree with your choice.

.

3 0

3 years ago

Read 2 more answers

a. Show that the following statement forms are all logically equivalent. p → q ∨ r, p ∧ ∼q → r, and p ∧ ∼r → q b. Use the logica

slava [35]

Answer:

(a) if n is prime, then n is odd or n is 2

(b) if n is prime and n is not odd, then n is 2

(c) if n is prime and n is not 2, then n is odd

Step-by-step explanation:

a) p → q ∨ r

b) p ∧ ∼q → r

c) p ∧ ∼r → q

Lets show that (a) implies (b) and (c). (a) says that if property p is true, then either q or r is true, thus, if p is true we have:

If the condition of (b) applies (thus q is not true), we need r to be true because either q or r were true because we are assuming (a) and p. Hence (b) is true
If the condition of (c) applies (r is not true), since either r or q were true due to what (a) says, then q neccesarily is true, hence (c) is also true.

Now, lets prove that (b) implies (a)

If p is true and property (b) is true, then if q is true, then either q or r are true thus (a) is correct. If q is not true, then property (b) claims that, since p is true and q not, r has to be true, therefore (a) is valid in this case as well, hence (a) is also true.

(c) implies (a) can be proven with similar argument, changing (b) for (c), q for r and r for q.

With this we prove that the 3 properties are equivalent.

For the rest of the exercise, we have

property p: n is prime
property q: n is odd
property r: n is 2

Translating this, we obtain (a), (b) and (c)

(a) if n is prime, then n is odd or n is 2

(b) if n is prime and n is not odd, then n is 2

(c) if n is prime and n is not 2, then n is odd

7 0

4 years ago