Answer:
a. x>
23
/3
b: x<
13/5
Step-by-step explanation:
A: Step 1: Subtract x from both sides.
4x−15−x>x+8−x
3x−15>8
Step 2: Add 15 to both sides.
3x−15+15>8+15
3x>23
Step 3: Divide both sides by 3.
<u>x>
23/3</u>
B: Step 1: Subtract 7x from both sides.
2x+13−7x>7x−7x
−5x+13>0
Step 2: Subtract 13 from both sides.
−5x+13−13>0−13
−5x>−13
Step 3: Divide both sides by -5.
Answer: x<
13/5
Answer:
2.86 hours = £26.57
Step-by-step explanation:
5 builders = 3.5 hours
<u>Express it in ratio form:</u>
5 : 3.5 (B1:H1)
<u><em>However, on Tuesday 2 builders(B2) are available. We can set up a proportion to find the number of hours.</em></u>
<u><em>Since This is an inverse proportion, it will be written like:</em></u>
=> B1:H1 = H2:B2
Where H2 = x(no. of hours)
=> 5 : 3.5 = x : 2
<u><em>Product of means = Product of Extremes</em></u>
=> 5*2 = 3.5x
=> 10 = 3.5 x
Dividing both sides by 3.5
=> x = 2.86 hours
<u><em>Now, On Tuesday:</em></u>
1 hour = £9.3
<u><em>For 2.86 hours,</em></u>
2.86 hours = £9.3 × 2.86
2.86 hours = £26.57
Answer:
11610
Step-by-step explanation:
First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.
Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.
Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.
Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.
Answer: 8 cups each
explanation: 1 quart= 4 cups
8 quarts=32 cups
32 cups/ 4 people= 8 cups each
Answer: Student tickets sold= 1,035 Adult tickets sold= 400
Step-by-step explanation: S=1035 Number of student tickets
A+S=1435
A+1035=1435
A=1435-1035
A=400 Number of adult tickets
PROOF:
5*400+1035*1.50=3552.50
2000+1552.50= 3552.50
3552.50= 3552.50
