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love history [14]
3 years ago
10

Elvira is comparing prices between two different suppliers of fresh lettuce. Val’s Veggies charges $250 for delivery plus $1.50

per bag of lettuce. Sally’s Salads charges $100 for delivery plus $4.00 per bag of lettuce. How many bags of lettuce must be purchased for Val’s Veggies to be the cheaper option?
Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

61 bags of lettuce

Step-by-step explanation:

Let's create two equations representing the cost of bags of lettuce:

Val's Veggies: 250 + 1.50x = V

Sally's Salads: 100 + 4.00x = S

If you buy 60 bags of lettuce from either store, the answers will be equivalent:

If x = 60

250 + 1.50x = V

250 + 90 = V

340 = V

100 + 4.00x = S

100 + 240 = S

340 = S

Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:

x = 61

250 + 1.50x = V

250 + 91.50 = V

341.50 = V

100 + 4.00x = S

100 + 244 = S

344 = S

Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.

Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
Chose the equivelent expression for the scenario. phillip mows lawns fro $15 each. if he moves 6 lawn every week for 8 weeks. ho
Ipatiy [6.2K]

Answer:

15 x 6 x 8

Step-by-step explanation:

total money is cost per lawn times number of lawns per week times number of weeks

cost per lawn is $15

number of lawns per week is 6

number of weeks is 8

so cost total money is 15 x 6 x 8 which is none of them

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Answer:

10 cm!

I think...it's really basic math so...maybe?

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To find the mid point you must

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y = (y1 + y2) / 2

(3,2.5)
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3 years ago
What is the missing number in the series?<br><br> 1, 16, 81, __, 625, 1296
Alinara [238K]

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

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x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

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2 years ago
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