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4 years ago

Evaluate the expression (4p - m) = -4 and p=2.

Mathematics

2 answers:

Semenov [28]4 years ago

6 0

Answer:

m = 12

Step-by-step explanation:

4(2)=8

8 - m = -4

-8 -8

-m = -12

/-1 /-1

m = 12

antiseptic1488 [7]4 years ago

3 0

Answer:

m = 12

Step-by-step explanation:

(4p - m)= -4

1. Take off parenthesis

4p -m = -4

2. Replace p

4(2) - m = -4

8 - m = -4

m = 12

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Simplify the following equation completely. Write your answer in only positive exponents.

kotegsom [21]

Answer:

Appears to be A with a typo.

Should be $\frac{3a^{12}*b^{3}}{4}$

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

$\frac{12a^8b^{-7}}{(4a^{-2}b^{-5})^2}\\\\\frac{12a^8b^{-7}}{4^2a^{-4}b^{-10}} \\\\\frac{12}{16}*\frac{a^8}{a^{-4}}*\frac{b^{-7}}{b^{-10}}\\\\\frac{3}{4}*a^{8--4}*b^{-7--10}\\\\ \frac{3}{4}*a^{12}*b^{3}$

7 0

3 years ago

A wire of length 240 inches is cut into 2 equals pieces. Each piece of wire is then bent into forming an equilateral triangle an

Tamiku [17]

240 inches cut into 2 equal pieces is just taking half of the wire.
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to $40*30sin(60)$
which can be simply written as 1200sin(60).
So the sum of both areas is $(1200sin(60)+900)$

7 0

4 years ago

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Natalka [10]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

5 0

4 years ago

Simplify 3^2/3.3^1/5

san4es73 [151]

ANSWER:

$\frac{1}{5} \\$