Answer:
Step-by-step explanation:
<h2>
1) </h2>
scale is 1 inch=9 feet
4 inches*9= 36 feet
10 inches*9=90feet
<em><u>it is 36 feet by 90 feet</u></em>
<h2><em><u>
2)</u></em></h2>
scale is 1 inch=5 feet
4 inches*5=20 feet
<em><u>it is 20 feet</u></em>
<h2>
3)</h2>
scale is 1:12
14 inches*12=168
it is 168
Step-by-step explanation:
The domain is simply all of the x values of the relation. In this case, that is -1, 1, 3, and 6. The range is all of the y values. In this case, it is 2. Hope this helps!
Answer:
5.33 hours
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Time Ashley takes to prepare one bag = 2/3 min
Time it takes each friend of Ashley to prepare one bag = 75% more than it takes Ashley
= (75% of 2/3 min) + 2/3 min
= (0.75 × 2/3) + 2/3
= (3/4 × 2/3) + 2/3
= 6/12 + 2/3
= 1/2 + 2/3
= (3+4)/6
= 7/6 min
Rate of Ashley and 4 friends preparing 1 bag
Rate Ashley works = 1 bag / (2/3) min
= 3/2 bag/min
Rate each friend of Ashley works = 1 bag / (7/6) min
= 6/7 bag/min
Rate 4 friends of Ashley works
= 4 × 6/7 bag/min
= 24/7 bag/min
Rate of Ashley and 4 friends preparing 1 bag = 3/2 bag/min + 24/7 bag/min
= 3/2 + 24/7
= (21+48)/14
= 69/14 bag/min
Time taken to prepare 1575 bags
= number of bags / number of bags per min
= 1,575 bags / (69/14) bags/min
= 1575 × 14/69
= (1575×14)/69
= 22,050 / 69
= 319.57 min
319.57 min to hours
= 319.57 min / 60 min
= 5.33 hours
Answer:
k=(5x+6)/(3x+6) and k<3/5
Step-by-step explanation:
- 3k(x+2)+2 = 5x+8
- 3k(x+2)=5x+6
- 3k=(5x+6)/(x+2)
- k=(5x+6)/(3x+6)
it is solved for k
and considering the condition for x<3:
- 3k(x+2)+2 = 5x+8
- 3kx+6k=5x+6
- (5-3k)x=6k-6
- x= (6k-6)/(5-3k)
- x<3 ⇒ (6k-6)/(5-3k)<3 ⇒ 6k-6<15-9k ⇒ 15k<9 ⇒ k<9/15 ⇒ k<3/5
So,
k=(5x+6)/(3x+6) and k<3/5
Answer:
37
Step-by-step explanation:
all angles on a straight line add up to 180.
180-144=36.
180-73=106
106+36=142.
180-142 is 37
hope this helps!