When creating a similar figure, the original angle measures will be enlarged by a scale factor to create the new shape

Here is an equation 2x + 9 = -15. What are three different equations that have the same solution as that equation? Show or expla

Sliva [168]

To find those equations we can do any multiplication or division of both sides of the equation:

Examples:

2x + 9 = -15 | · 2

4x + 18 = -30

2x + 9 = -15 | · (-1)

-2x - 9 = 15

2x + 9 = -15 | ÷ 2

x + 4.5 = -7.5

There is the same solution: x = -12.

6 0

3 years ago

Calculate (a) the number of milligrams of metoclopramide HCl in each milliliter of the prescription:

nalin [4]

Answer:

There are 100 milligrams of metoclopramide HCl in each milliliter of the prescription

Step-by-step explanation:

When the prescription says Purified water qs ad 100 mL means that if we were to make this, we should add the quantities given and then, fill it up with water until we have 100 mL of solution, being the key words qs ad, meaning sufficient quantity to get the amount of mixture given.

Then, knowing there is 10 grams of metoclopramide HCl per 100 mL of prescription, that means there is (1 gram = 1000 milligrams) 10000 milligrams of metoclopramide HCl per 100 mL of prescription. That is a concentration given in a mass/volume way.

Knowing the concentration, we can calculate it per mL instead of per 100 mL

$Concentration_{metoclopramide HCL}= \frac{10000mg}{100mL} =100 \frac{mg}{mL}$

7 0

3 years ago

765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible

tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.