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mihalych1998 [28]
2 years ago
6

3. Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks d

ogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
Mathematics
1 answer:
kvv77 [185]2 years ago
5 0
1. The total must be at least $1975:    25x+15y \geq \$1975

2. Dog walks is no more than 4 times lawns: y \leq 4x

3. At least 50 dog walks:  y \geq 50
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French Co. marks up its goods 45% on cost. What is French's equivalent markup on selling price? Round to the nearest hundredth p
Fiesta28 [93]
<span>Let
CP ------> cost price
SP ------> Selling price

we know that
SP= CP + 0.45CP
Mark up = 0.45CP
Ratio of Mark up to Selling price------->  0.45CP/(CP + 0.45CP) 
= 0.45/(1+0.45)-------> </span><span>0.45/1.45=0.3103
</span><span>0.3103 multiplied by 100 = 31.03%
</span>
the answer is 
31.03%

7 0
2 years ago
Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?
EleoNora [17]

Answer:

Option A

Step-by-step explanation:

  • f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

<em>See attached graph for reference</em>

3 0
2 years ago
Rasheed wants to buy two new video games that cost $28.50 each. He earns money for them by mowing lawns in his neighborhood, and
myrzilka [38]

Answer:

$15.25

Step-by-step explanation:

$7.50+$4.85+$12.25 +$9.00 +$8.15 = $41.75

$28.50*2 = $57.00

So, he needs $57.00- $41.75 = $15.25 more

4 0
2 years ago
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Given log Subscript 4 Baseline 3 almost-equals 0.792 and log Subscript 4 Baseline 21 almost-equals 2.196, what is log Subscript
defon

Answer:

Step-by-step explanation:

The following is the logarithm quotient rule:

log_{c}{a / b} = log_{c}{a} - log_{c}{b}

Plugging in the values we have above gives us the following:

log_{4}{21 / 3} = log_{4}{21} - log_{4}{3}

log_{4}{7} = 2.196 - 0.792

log_{4}{7} = 1.404

6 0
2 years ago
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James knows that when h walks, he takes about 120 steps per minute and that each step is 2.75 feet long. Which calculation is mo
Luba_88 [7]

Answer:

120*2.75*60/5280

= 3.75

Step-by-step explanation:

So James is walking at 120 steps a minute, there are 60 minutes in one hour, and 5,280 feet in a mile. So, to find how quickly James is walking, we multiply how many steps he is taking a minute by how much distance each step is (120 * 2.75) that gives us how much distance in one minute, so we then multiply by 60 because there are 60 minutes in one hour. Then divide the entire equation by how many feet are in one mile (5,280) giving us the answer 3.75 miles per hour. And the equation 120*2.75*60/5280

4 0
2 years ago
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