Which expression is equivalent to

I have a homework about subtracting Integers and i don't get what -9 - 5, 31 - 48, ang -6 - 7 is

Alexxandr [17]

Well remember this:
When the signs are the same it is positive
When the signs are different make it negative

When you are subtracting a negative and positive, it is going to be like adding
for example:
-9 - 5 = -14
You just add 9 and 5 to get 14, the signs are different so it is going to be negative. ONLY WHEN YOU ARE SUBTRACTING NEGATIVES

5 0

3 years ago

Determine if the three numbers form a

IgorLugansk [536]

Answer:

A acute

Step-by-step explanation:

cause an acute it between 0-90 degrees

7 0

3 years ago

How do you determine whether you are finding a percent of increase or a percent of decrease between two values? Explain.

Slav-nsk [51]

Answer:

Increase:

It will have increase when y>x

so, percentage of increase is

$=\frac{y-x}{x}\times 100$

Decrease:

It will have decrease when x>y

so, percentage of decrease is

$=\frac{x-y}{x}\times 100$

Step-by-step explanation:

Let's assume initial value as x

assume final value as y

Increase:

It will have increase when y>x

so, percentage of increase is

$=\frac{y-x}{x}\times 100$

For example:

Initial value is 40

So, x=40

Final value is 50

so, y=50

now, we can find percentage in increase

$=\frac{50-40}{40}\times 100$

$=25$

Decrease:

It will have decrease when x>y

so, percentage of decrease is

$=\frac{x-y}{x}\times 100$

For example:

Initial value is 50

So, x=50

Final value is 40

so, y=40

now, we can find percentage in decrease

$=\frac{50-40}{40}\times 100$

$=25$

3 0

4 years ago

The sum of one third of a number and five is equal to six less than the number

abruzzese [7]

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

4 0

2 years ago

A bank loaned out $20,000, part of it at the rate of 11% annual interest, and the rest at 10% annual interest. The total interes

dmitriy555 [2]

Answer:

$8,000 was loaned at a 9% interest rate

Step-by-step explanation:

Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:

.04(x) + .09(17500 - x) = 1100

Multiply the .09 times the inside of the parentheses:

.04x + 1575 - .09x = 1100

Simplify:

-.05x + 1575 = 1100

-.05x = -475

x = 9500

Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.

To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.

6 0

3 years ago