Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
Answer:
Step-by-step explanation:
Answer:
32.10
Step-by-step explanation:
7% = 0.07
30 x 0.07=2.10
30+ 2.10=32.10
Price before Taxes: $ 30.00
+ Sales Tax (7%): $ 2.10
Total Price with Tax: $ 32.10
1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...
Simplify. Write in Scientific Notation
2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.
3. The distributive property is useful for this.
(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)
... = 15x² +12x – 5x –4
... = 15x² +7x -4
4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.
-24 = -1×24 = -2×12 = -3×8 = -4×6
The last pair of factors adds to give 2. Now we can write
... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives
... (2x -1)(4x +3) . . . . . the factorization you require
Answer:
Amount of cake mix baking pan can hold is 99 ounces
Step-by-step explanation:
Here we have the size of the baking pan is given by the following relation
Volume of baking pan = Length × Width × Height
Volume of baking pan = 12 in. × 6 in. × 2.5 in. = 180 in.³
Mass of 1 cubic inch of cake mix = 0.55 ounces, therefore, the mass of cake mix that the 180 in.³ baking pan can hold is found as follows;
Amount of cake mix baking pan can hold = Volume of baking pan × Mass per cubic inch of cake mix
Amount of cake mix baking pan can hold = 180 in.³ × 0.55 ounce/in.³ = 99 ounces.
