7.D is the correct answer. I simplified 12/27 to 4/9 then i try to see if 4/9 is equivalent to 20/45 and it is you multiply 4 and 9 by 5= 20/45
8. 1.4*2.1=2.94 then 2.94/1.5= 1.96 so c=1.96
9. Explanation You multiply- 5/8 * 3/5 then divide = answer divided by 2/3
Solving: 5/8*3/5= 3/8 then 3/8 divided by 2/3, flip second number and then switch the division sign to multiplication sign so it should be like this : 3/8 * 3/2= 9/16
answer= 9/16
Answer:
A) Lifetime: 200+15x
Health Bridge: 50+30x
B.1) Yes, they are both the same price after 10 Months at an amount of $350
B.2) Lifetime gym would be cheaper by $30
C) Health Bridge Gym because it is $60 less
D) Lifetime Gym
Step-by-step explanation:
A) 200=Initial Fee___15=Monthly Cost___x=Months
50=Initial Fee___30=Monthly Cost___x=Months
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B.1) 200+15(10)=350
50+30(10)=350
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B.2) 200+15(12)=$380
50+30(12)=$410
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C) 200+15(6)=290
50+30(6)=230
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Lifetime Gym's initial fee is greater than Health Bridge's fee but without exceeding $500, you are able to go to the gym for 20 months rather than 15 months using Health Bridge's plan.
D)200+15(20)=$500
50+30(15)=$500
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I hope this is enough work shown, if you need a better understanding let me know and I will revise the equations for you.
158 hot dogs will be prepared if 105 people show up
Step-by-step explanation:
14 people show up to make 21 hot dogs
We need to find how many hot dogs will be prepared if 105 people show up?
We will solve this problem using Unitary method
Solving:
14 people make hot dogs=21
1 person makes hot dogs = 21/14
105 people make hot dogs = 21/14*105
= 157.5 ≈ 158 hot dogs
So, 158 hot dogs will be prepared if 105 people show up
Keywords: Word Problems
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Convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
Answer:
a)4x ≤30 where x is the quantity of muffins b) The greatest amount of muffins you can purchase is 7. c) 2dollars
Step-by-step explanation:
a) 4x ≤30 where x is the quantity of muffins
b) 4x≤30
x≤7.5
It means that you can buy only 7.5 muffins or less. But you can buy only whole muffin, so you can buy 7 muffins or less. The greatest amount of muffins you can purchase is 7.
c) If you purchase 7 muffins you spend 7*4= 28 dollars
And then you will have 30-28=2dollars