Answer:
Step-by-step explanation:
Write the number in exponential form with the base of 2:
Since the bases are the same, set the exponents equals.
Cancel equal terms on both sides of the equation:
Answer:
<em>Martin saved $75 on the television because of the sale</em>
Step-by-step explanation:
<u>Equations</u>
Let's call x=the original price of the television (before discount).
The television had been on sale for 25% off, this means the discount was:
25% of x = = 0.25x
The sale price was the original price minus the discount:
x - 0.25x = 0.75x
This is what Martin paid, thus:
0.75x = 225
Dividing by 0.75:
x = 225 / 0.75
x = $300
The original price of the television was $300, and the discount was:
0.25*$300 = $75
Martin saved $75 on the television because of the sale
Answer:
66.4°
Step-by-step explanation:
→ Find the side which is not given
Hypotenuse = 15 cm
Opposite = ?
Adjacent = 6 cm
→ Utilise the formula triangle with out opposite in it
Cos⁻¹ = Adjacent ÷ Hypotenuse
→ Substitute in the terms
Cos⁻¹ = 6 ÷ 15 ⇔ 66.4°
Answer:
No and Yes.
Step-by-step explanation:
The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:
-1≥ -(-1)+7
-1 ≥ 1+7
-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.
On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:
3>(3/4)(5)-5
3>(15/4)-5
3> -5/4 and this is true, so (5,3) is a solution of y>(3/4)x-5.
Start by converting to like terms, so convert 1/2 to 2/4.
Next, look at the problem. You are adding a negative, which is the same as subtracting, so your new problem looks like this: 2/4 - 3/4.
If you take 3/4 from 2/4, you are left with -1/4. This is your final answer!