It’s easy!
Since you’re increasing 1.6% to $1252 you write the expression as:
=1252+1.6% of 1252
=1252+(1.6/100)*1252
=1252+0.016*1252
=1252+20.032
=1272.032
That’s your final answer
Answer:
B. - 1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
−5(w+4)+8<−42
Step 1: Simplify both sides of the inequality.
−5w−12<−42
Step 2: Add 12 to both sides.
−5w−12+12<−42+12
−5w<−30
Step 3: Divide both sides by -5.
<u>Answer: </u>
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Thanks!
- Eddie
Answer: 14 red, 7 green, 44 blue
Step-by-step explanation:
First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.
Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).
To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.
To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.
In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.
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