Answer:
Part A: chosen method is by factoring
Part B: First rewrite the equation by writing -24 as a difference so you get x² -9x - 15x + 135 = 0. Then factor out the x and the -15 from the equation so you get x(x-9) - 15(x-9) = 0. Then factor out x-9 from the equation so you have (x-9)(x-15) = 0. Finally, set each expression to 0: x-9=0 and x-15=0 and then solve: x=9 and x=15
Part C: x=9, x=15
Answer:
Hey again! Just remember about the number lines. If it's easier, you can use a calculator to divide the fractions to make them easier to visualize in decimal form.
The answer to this one is:
-2.4
-2.25
-11/5 (which is -2.2)
-15/10 (1.5)
-1.6
Hello there! If you know basic division, then you know that 8/2 is 4. With 75 calories being in 2 ounces of yogurt, all we have to do is multiply by 4 to get the amount of calories in 8 ounces of yogurt, because 2 * 4 is 8. Plus for this scenario, whatever we do to one part, we must do to the other. Let's solve. 75 * 4 is 300. There. There are 300 calories in 8 ounces of yogurt.
Answer:
a. 37
b. 25
c. 226
Step-by-step explanation:
Place value has the same meaning in any other number base that it has in base 10. Using expanded form is one way to do the required base conversion.
a. 122₅ = 1×5² +2×5¹ +2×5⁰
= 25 +10 +2 = 37
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b. 11001₂ = 1×2⁴ +1×2³ +0×2² +0×2¹ +1×2⁰
= 16 +8 + 1 = 25
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c. 16T₁₂ = 1×12² +6×12¹ +10×12⁰
= 144 +72 +10 = 226
