Answer: x= -4
Step-by-step explanation:
Combine like terms
-4x -7 -3x + 4 = 25
-7x -3 =25
Add 3 on both sides
-7x=28
Divide by -7 on both sides
x= -4
Hope this helps! :)
42 if you multiply 6 and 7 it's 42 and multiply 21 and 2 and it will be 42 so that's the common denominator
You need to divide.
We are dividing the mixed numeral 33 1/21 by the mixed numeral 5 1/4.
(33 1/2 ) / (5 1/4) =
The first step is to change the two mixed numerals into improper fractions.
33 1/2 = 67/2, and 5 1/4 = 21/4
= (67/2) / (21/4)
Now we are dividing the fraction 67/2 by the fraction 21/4.
To divide a fraction by a fraction, rewrite the first fraction, change division intro multiplication, and flip the second fraction. To divide 67/2 by 21/4, we multiply 67/2 by 4/21.
= 67/2 * 4/21
To multiply fractions, multiply together the numerators, and multiply together the denominators. 67 * 4 = 268; 2 * 21 = 42
= 268/42
Using a calculator, 268/42 = 6.38095...
You can fill 6 full glasses.
Answer:
B: 4/5x -2y ≥ 3
Step-by-step explanation:
The first thing I always look for is the y-intercept which in this case is around -1.5 (-
). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around 
. So now, your equation is y = x -1 
. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ x -1 .
Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ 
x -3. The last step is to rearrange the inequality so that it matches the answers on the question.
3 ≤ x - 2y
x - 2y ≥ 3
9514 1404 393
Answer:
9 ft, 22 ft, 23 ft
Step-by-step explanation:
Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:
54 = s +(2s +4) +(3s -4)
54 = 6s . . . . . . . . . . . . . . collect terms
9 = s . . . . . . . . . . divide by 6
2s+4 = 2·9 +4 = 22
3s -4 = 3·9 -4 = 23
The lengths of the three sides are 9 feet, 22 feet, and 23 feet.
