Answer:
x = 5
Step-by-step explanation:
We have the algebraic expression and are asked to solve for x.
To solve, we need to isolate x.
2x + 22 = 4(x + 3)
Distribute :
2x + 22 = (4(x) + 4(3))
2x + 22 = 4x + 12
Subtract 12 from both sides :
2x + 10 = 4x
4x = 2x + 10
Subtract 2x from both sides :
2x = 10
Divide 2 from both sides to get x alone :
x = 5
The area of the small poster is 160 inches square
<h3>How to determine the area</h3>
From the information given, we have the poster to take the form of a rectangle
The formula for area of a rectangle is;
Area = length × width
For the smaller poster created using a scale of factor 2/3
Length = 2/ 3 × 24
Length = 16 inches
Width = 2/ 3 × 15
Width = 10 inches
Substitute into the formula
Area = 16 × 10
Area = 160 inches square
Thus, the area of the small poster is 160 inches square
Learn more about area here:
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Answer:
Yes, Kristin will have 2 jelly beans left
Step-by-step explanation:
Total jelly beans = 1,856
Total jars = 3
Kristin is filling 3 jars with jellybeans
She wants to split them evenly between the jars, will Kristin have any jellybeans left over?
Jellybeans in a jar = total jellybeans / total jar
= 1,856 / 3
= 618 remainder 2
Yes, Kristin will have jelly beans left
Kristin will have 2 jellybeans left
Check:
618 × 3 = 1,854
Remaining jellybeans = 1,856 - 1,854
= 2 jellybeans
29.99 * 3 =89.97 89.97 with 30% off = 62.98 and 5% of 62.98 =3.15 so 62.98 + 3.15 = 66.13$
180.00 + 14.95 + 8.95 = 203.09 - 15% = 173.44 + 4% = 180.38
5.65 + 5% of 5.65 = 5.93
i think this is all right you might want to check my work!
<span>The answer is -12 + 20x ≥ –6x 9. The inequality is –4(3 – 5x)≥ –6x 9. The first step is to multiply factors on the left side. The intermediary steps are: (-4)*(3) - (-4)*(5x) ≥ –6x 9. -12 - (-20x) ≥ –6x 9. So, the first step will be: -12 + 20x ≥ –6x 9.</span>
