The value of x should be greater than or equal to -2. The number line from -2 to the entire right till ∞ of the number line will satisfy this condition.
<h3>What is a number line?</h3>
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The value of x that will satisfy this condition can be found by simplifying the given inequality. Therefore, The given inequality can be simplified as,
4x + 1 - 1 ≥ -8
4x ≥ -8
x ≥ -2
Hence, the value of x should be greater than or equal to -2. The number line from -2 to the entire right till ∞ of the number line will satisfy this condition.
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The number of square feet of carpet you need to buy is; 203 ft²
Total Cost of Carpet = $281.51
<h3>How to solve algebra word problems?</h3>
We are given;
Measurement dimensions = 11.75 ft by 17.25 ft
A) The number of square feet would be needed is the area of the carpet. Thus;
Number of Square foot = 11.75 * 17.25
Number of Square foot = 202.6875 ft² ≈ 203 ft²
b) From conversions, we know that;
1 sq. feet = 1/9 sq. yards
Thus;
203 sq.ft = 203 * 1/9 sq.yards = 22.56 sq. yards
Now, the cost of carpet is $11.49/sq yd and the sales tax is
do 8.6%. Thus;
Total Cost of Carpet = (11.49 * 22.56) + 8.6%(11.49 * 22.56)
Total Cost of Carpet = $281.51
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So 10/360
360 degrees in a circle
so if each spoke turn is 10/360, that means that each turn is 10 degrees out of 360 degrees=10 degrees
answer is 10 degrees
Little tip ** if u r going from a larger shape to a smaller shape, the scale factor is going to be a proper fraction....a number less then 1 but greater then 0
BC = 66......EF = 11.......66 times what is 11
66x = 11
x = 11/66 reduces to 1/6
so 66 * 1/6 = 11
now compare the other sides...
42 * 1/6 = 7.......looks like AC and DF
72 * 1/6 = 12...looks like Ab and DE
so ur multiplying every number in the big triangle by 1/6 , and getting the measures of the little triangle....so ur scale factor is 1/6 <==