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Kobotan [32]
3 years ago
6

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

180

Step-by-step explanation:

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Giovanni and Jean started a 120-mile bicycle race at the same time. Giovanni cycled at 23.9 miles per hour while Jean cycled at
ehidna [41]

Answer:

Giovanni was 0.5 miles from the finish line

Step-by-step explanation:

This is a problem of movement with constant velocity.

For this kind of problems, generally it is enough to remember the definition of average velocity v:

v=\frac{x}{t}

Where x is the change in position that took place in an interval t.

First, find the time that Jean, who cycled at 24 miles per hour, spent on the race:

Isolating t from the last equation,

t=\frac{x}{v}, and replacing the data for Jean movement:

t=\frac{120}{24}=5h

Second, find what was the distance that Giovanni had cycled when Jean crossed the line:

x=v*t\\ x=23.9*5=119.5

When Jean crossed the line he had cycled 120 miles, and Giovanni 119.5; so Giovanni was 0.5 miles from the finish line.

4 0
2 years ago
each year francesca earns a salary of 2% higher than her previous years salary. In her first 5 years at this job, she earned a t
Luda [366]

Answer:

$36,027.9

Step-by-step explanation:

Lets say her salary in the first year is s1. So, in the second year her salary will be 2% higher than x, this is, s1 + s1*0.02, so:

s2 = s1 + 0.02s1 = 1.02s1

Then in year 3 it will be s2 plus a 0.02 increase:

s3 = s2 + 0.02s2 = 1.02(s2) = 1.02 (1.02 s1) = 1.02^2(s1)

Then the same for s4: s3 salary plus the increase.

s4 = s3 + 0.02s3 = 1.02(s3) = 1.02 (1.02 s2) = 1.02(1.02*1.02 s1) =1.02^3(s1)

Finally for the 5th monts:

s5 = 1.02(s4) = 1.02^4(s1)

We know that s1+s2+s3+s4+s5 = 187,345

Lets replace all the salaries by its value depending on s1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

We can add to the first term a s1^0 as it is eqaul to 1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

Lets get 1s1 out as common factor:

s1 (1 + 1.02^1 + 1.02^2 + 1.02^3 + 1.02^4) = 187,345

s1 *5.20 = 187,345

Divide both sides by 5.20

s1 = 36,027.9

So, her salary in the 1st month was approximately $36,027.9

4 0
2 years ago
Read 2 more answers
Plz answer with work
V125BC [204]

Answer:

Calculate 93% of 29.96.

Your final answer is approximately 27.86

6 0
2 years ago
A test has 20 questions worth 100 points. The test consists of true/false questionsworth 3 points each and multiple choice quest
Artist 52 [7]
X for number of true/false questions and y for number of multiple choice questions:

3x+11y=100
x+y=20
Solve the system and the answer is 5 multiple choice questions.
7 0
3 years ago
Can anyone help me with this expression<br> -1(7 + 10r) + 3
mezya [45]

Answer:

-2(2+5r)

Step-by-step explanation:

-(7+10r)+3

then you remove the parentheses

-7-10r+3

calculate the sum

-4-10r

factor the expression

-2(2+5r)

6 0
2 years ago
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