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Annette [7]
1 year ago
14

ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least

number of deliveries he must make to reach his goal? how work
Mathematics
2 answers:
Anika [276]1 year ago
8 0

Answer:  The least number of deliveries that Ben must make is 14.

Step-by-step explanation:  Given that Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday.

We are to find the least number of deliveries he must make to reach his goal.

Let x be the least number of deliveries that Ben must make to reach his goal.

Then, according to the given information, we have

9\times 8+6\times x\geq 155\\\\\Rightarrow 72+6x\geq 155\\\\\Rightarrow 6x\geq 155-72\\\\\Rightarrow 6x\geq 83\\\\\Rightarrow x\geq\dfrac{83}{6}\\\\\Rightarrow x\geq 13.83.

Thus, the least number of deliveries that Ben must make is 14.

Evgen [1.6K]1 year ago
5 0
The answer would be 13
9x8=72
155-72=83
83 / 6= 13
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You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man
Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.  

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials =\frac{3}{7}

and probability of my friend's winning is  =1-\frac{3}{7}=\frac{4}{7}  

Let there be n numbers of trials.

Therefore, my score after n trials =\frac{3n}{7}

and my friend's score after n trials   =\frac{4n}{7}

Now, the number of trials my friend won more than me is

\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

\frac{n}{7}=5\\n=7\times5=35

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win \frac{3\times 35}{7}=15 trials

and my friend will win \frac{4\times 35}{7}=20  trials.

Hence, my friend won 5 more trials than me.

3 0
2 years ago
A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a
bearhunter [10]

The mass of the toddler is 12.5 kg.

Step-by-step explanation:

The equation for gravitational potential energy is Ep=mgh where;

Ep=gravitational potential energy

m=mass of an object

g=gravitational field strength

h=height in meters

Given that ; h= 1.5m, Ep=187.5J , g=10 N/kg then finding m;

Ep=mgh

187.5=m*10*1.5

187.5=15m

187.5/15 =15m/15

12.5 kg=m

Learn More

  • Gravitation potential energy : brainly.com/question/939365

Keyword : Mass, gravitational potential energy

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2 years ago
Coach De Leon purchases sports equipment. Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $1
zepelin [54]

Answer:

18s+20b<_150

Step-by-step explanation:

He can buy 5 basketballs and 2 soccer balls. This equation is correct because 18x2 is 36 and 20x5 is 100. So that will be a total of $100. This makes the equation 100<_150. You can infer that this equation is true.

8 0
1 year ago
According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo
aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

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This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0
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Read 2 more answers
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Natasha_Volkova [10]

Answer:

9

Step-by-step explanation:

So the greatest 2 digit number is 99 and the greatest 3 digit number is 999

So find the hcf ( highest common factor ) of 99 and 999.

Factors of 99      : 1, 3, 9, 11, 33, 99

Factors of 999    : 1, 3, 9, 27, 37, 111, 333, 999

Common factors : 1, 3, 9

Hcf                       : 9

HOPE IT HELPED

7 0
1 year ago
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