MATHEMATICS HIGH SCHOOL

Sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as far as Sara. In total, all 4 travel a total of 888 miles to camp. How far do each of them travel?

Answers

Answer 1

Answer:

Eli travels 74 miles

Sara travels 148 miles

Ashley travels 222 miles

Hazel travels 444 miles

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method

Substitution Method

Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Sara's Distance = s

Eli's Distance = e

Ashely's Distance = a

Hazel's Distance = h

Sara travels twice as far as Eli when going to camp.

$s = 2e$

Ashley travels as far as Sara and Eli together.

$a = s + e = 2e + e = 3e$

Hazel travels 3 times as far as Sara.

$h = 3s = 3(2e) = 6e$

In total, all 4 travel a total of 888 miles to camp.

$s + a + h + e = 888$

$2e + 3e + 6e + e = 888$

$(2 + 3 + 6 + 1)e = 888$

$12e = 888$

$e = 888 / 12$

$e = \boxed {74 ~ \texttt{miles}}$

$s = 2e = 2(74) = \boxed {148 ~ \texttt{miles}}$

$a = 3e = 3(74) = \boxed {222 ~ \texttt{miles}}$

$h = 6e = 6(74) = \boxed {444 ~ \texttt{miles}}$

Learn more

Perimeter of Rectangle : brainly.com/question/12826246

Elimination Method : brainly.com/question/11233927

Sum of The Ages : brainly.com/question/11240586

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

Answer 2

Answer: Eli travels the shortest distance, so she'll be the main letter for algebra. She can be 'e'.
Sara travels twice as far, so her distance is 2e.
Ashley travels Sara and Eli, so 2e + e, or 3e
Hazel travels 3 times Sara, so 2e * 3, or 6e. Together they all travel 888 miles.
So e + 2e + 3e + 6e = 888
Simply, 12e = 888
Therefore, e = 888/12, or 74
So Eli travels 1*74 (74) miles
Sara travels 2*74 (148) miles
Ashley travels 3*74 (222) miles
Hazel travels 6*74 (444) miles

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Answers

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I'm going to round it off so its going to be 650 mi/h

How can I solve for y 13=1/6y+2x

Answers

The value of y will be y = 78 - 12 x.

An expression , 13 = 1/6y + 2x is given.

We have to solve the expression to find out the value of y.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

The expression given is ;

13 = 1/6y + 2x

Let's solve it to get the value of y ;

So ,

13 = 1/6y + 2x

1/6y = 13 - 2x

multiplying both RHS and LHS by 6 , we get ;

y = 78 - 12 x

Thus , the value of y will be y = 78 - 12 x.

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13 = 1/6y + 2x

multiply everything by 6 to get rid of the fraction... fractions are bad
78= y + 12x

now you can solve for y by subtracting 12x from both sides
78 - 12x = y

A certain test is worth 155 points. How many points (rounded to the nearest point) are needed to obtain a score of 65%?

Answers

$65\%=(65)/(100)=0.65\n\n65\%\ of\ 155\to0.65*155=100.75\approx101$

A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000 until 2016. Which of the following is the most reasonable domain for the function?

Answers

The domain of a function is the set of input values the function can take.

The reasonable domain of the function is [0,16]

From the question, we understand that x represents the number of years after 2000 until 2016.

In 2000, the value of x is 0
In 2016, the value of x is 16

Hence, the reasonable domain of the function is [0,16]

Answers

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

$C =2\pi r$

where r is the radius of the circle.

Putting values, we get,

$75.36 = 2* 3.14* r\n\nr = (75.36)/(2* 3.14)\n\nr=12$

Diameter of circle =

$d=2r\nd=2* 12=24\text{ cm}$

Thus, the diameter of circle is 24 cm.

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan?

Answers

The amount of the loan was $4,875.24

Given:
interest = 255.94
rate = 5.25%
term = 1 year

simple annual interest = principal * interest rate * term

principal = simple annual interest / (interest rate * term)
principal = 255.95 / (5.25% * 1yr)
principal = 255.95 / 0.0525
principal = 4,875.24

S.I. = 4,875.24 * 5.25% * 1yr
S.I. = 255.95

Answer:

$4,875.05 is your answer

$4,875.05 ;^)

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