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matrenka [14]
3 years ago
15

last month maria hiked a 5 mile trail several times and a 10 mile trail several times let x represent the number of times she hi

ked the 5 mile trail and let y represent the number of times she hiked the 10 mile trail , if she hiked a total of 90 miles what would the equation look like ?
Mathematics
1 answer:
Vlada [557]3 years ago
7 0

Answer:

5x + 10y = 90

Step-by-step explanation:

X is the number of times she takes the 5 mile, so the total distance would be 5x. Y is the number of times she takes the 10 mile, so the total distance would be 10y. And together they equal 90 miles, so 5x + 10y =90. Hope this helps.

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The diagram shows a triangle.
Basile [38]

Answer:

s=13

Step-by-step explanation:

As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13

5 0
3 years ago
John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age. How old is each person if their ages add up to 167?
kogti [31]

Solution:

we are given that

John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.

Let the age of Jim be x years then we can say

Age of John=x+3

If diana Age is D then

x=D/2-4

It can be re-wriiten as

Diana age D=2x+8

Given that  their ages add up to 167

x+x+3+2x+8=167\\
\\
4x+11=167\\
\\
4x=167-11\\
\\
4x=156\\
\\
x=39\\

Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.

3 0
3 years ago
Write an equation for each line that contains the given pair of points. (-6,1) (2,3)
Travka [436]

Answer:

y = .25x + 2.5

Step-by-step explanation:

First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.

m = (y₂-y₁)/(x₂-x₁)

m = (3-1)/(2+6)

m = 2/8

m = 1/4

Plug that in.

y = 1/4x + b

To find b plug in one of the two points and solve.

3 = 1/4(2) + b

3 = 1/2 + b

3 - 1/2 = 1/2 - 1/2 + b

2.5 = b

4 0
3 years ago
Please help with this?
frez [133]

7p3 = 210
8 0
3 years ago
To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest
soldier1979 [14.2K]

Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%

7 0
3 years ago
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