Step-by-step explanation:
-x/3 < -4
-x < -12
x > 12
5x +11 ≤ -4
5x ≤ -4-11
5x ≤ -15
x ≤ -3
therefore, the solution is
x ≤ -3 or x > 12
The answer would be 234. You will multiply 28 by 9 and minus 18.
So the recipe calls for 96 grams of sugar, and one cup is 128 grams of sugar.
She added a half of a cup, and as they said before one cup was 128 grams of sugar. So half of 128 is 64. So she added 64 grams of sugar. The recipe needs 96 grams so 64 grams is not enough sugar.
So 96 grams minus 64 equals 32 grams. So she still needs 32 grams of sugar.
So since the answers are all in cups, we must convert our answer from grams to cups.
So we have 32 grams of sugar left and to convert it we must put the 32 grams out of one cup. Once again one cup is 128 grams of sugar. So the amount of cups we need is 32/128 (fraction).
Also we need to simplify our fraction to completely answer the question. So we divide the numerator and denominator by 32.
So the final answer is 1/4. So the answer is D or the last answer out of the multiple choice.
The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is 
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
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As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
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All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)
Well to find this answer, I assume that you want me to help with finding the area. Let's start with the area of the stage. Off of the info you gave me, I assume that the stage and pit are rectangles. So to find the area of the rectangles, we need to use the area formula A=l×w. Plug in the numbers into the formula and we get A=10×5. So the area of the stage is 50 yards. Now do the same thing for the pit, and we get A=4×2. So the pit's area is 8 yards. Add 50 and 8 to get the total area and we get 58. So the stage and the orchestra pit take up 58 yards of floor space. Hope I helped!
