Answer:
4
Step-by-step explanation:
The ratio of green : pink = 32 : 56 = 4 : 7
After 7 pink are given away, then
ratio = ? : 49 = 4 : 7 ← ratio has to be the same
Using proportion
= 
( cross- multiply )
7? = 196 ( divide both sides by 7 )
? = 28
Thus the ratio = 28 : 49 = 4 : 7
Thus 32 - 28 = 4 green should be given
Answer:
-6.
Step-by-step explanation:
y = x - 6
y = 6x - 19
To eliminate x the first equation should be multiplied by -6 giving:
-6y = -6x + 36
Adding this to the second equation will eliminate x.
The 40 feet of fencing which covers at least 182 square feet gives the possible lengths of x as x ≥ 13 or x ≤ 7
<h3>How can the area be expressed as an inequality?</h3>
Length of the fencing = 40 feet
Number of sides covered = Three sides
Area of the fencing ≥ 182 square feet
Length of the shorter side of the pen = x
The area is therefore;
2•x² - 40•x + 182 ≥ 0
2•(x² - 20•x + 91) ≥ 0
2•(x² - 13•x - 7•x + 91) ≥ 0
2•(x•(x - 13) - 7•(x - 13) ≥ 0
Which gives;
The solution to the inequality and the possible lengths of <em>x </em>are;<em> </em>x ≥ 13 or x ≤ 7
Learn more about quadratic inequalities here;
brainly.com/question/10441997
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Answer:
The measure of <u>Angle G is 41</u>
Step-by-step explanation:
We know that in a parallelogram, opposite angles are congruent, therefore let's solve for x-value first;
3x + 11 = 5x - 9
11 = 5x - 3x - 9
11 = 2x - 9
11 + 9 = 2x
20 = 2x
20/2 = x
10 = x
Now that we have x-value, we can substitute it in the equation for Angle G to find it's angle measure;
5(10) - 9 = ∠G
50 - 9 = ∠G
41 = ∠G
So the final answer = <u>The measure of Angle G is 41</u>
Hope this helps!
