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3 years ago

Math help please! Thanks so much!

Mathematics

1 answer:

suter [353]3 years ago

6 0

According do what i came up with. after 3 hours train (A) should be 150 miles out towards Smithville, while Train (B) will be 180 miles out towards Westtown. Its best to graph this out to better understand. so 330/2 = 165, so thats your half way point. use this to determine how far train (A) is from SV compared to train (B)s distance to WT. After 3 hours you can see at 180 miles out Train (B) will be crossing paths with Train (A) at 150 miles. So the answer would be 3 hours

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What is the solution of the system of equations shown in the graph below?

Mademuasel [1]

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

3 0

2 years ago

Read 2 more answers

Solve by using proper methods.

oksano4ka [1.4K]

Answer:

Approximately after 66.15 years, there will be 100 coyotes left

Step-by-step explanation:

We can use the formula $F=P(1+r)^t$ to solve this.

Where

F is the future amount (F=100 coyotes)

P is the initial amount (P=750 coyotes)

r is the rate of decrease per year (which is -3% per year or -0.03)

t is the time in years (which we need to find)

Putting all the information into the formula we solve.

Note: The logarithm formula we will use over here is $ln(a^b)=bln(a)$

So, we have:

$F=P(1+r)^t\\100=750(1-0.03)^t\\100=750(0.97)^t\\\frac{100}{750}=0.97^t\\\frac{2}{15}=0.97^t\\ln(\frac{2}{15})=ln(0.97^t)\\ln(\frac{2}{15})=tln(0.97)\\t=\frac{ln(\frac{2}{15})}{ln(0.97)}\\t=66.15$

Hence, after approximately 66.15 years, there will be 100 coyotes left.

Rounding, we will have 66 years

4 0

2 years ago

The first term of an Ap are x, 2x +1, and 5x+1 Find x and the sum of the l0 terms first

bazaltina [42]

Answer:

145/2

Step-by-step explanation:

d=[2x+1-x] = [5x+1 -(2x+1)]

x+1=3x

x-3x=-1

-2x=-1

x=1/2

therefore first term is 1/2

second term is 2(1/2)+1= 2

common difference d is 2-1/2=3/2

sum of first n terms is n/2 [2a+(n-1)d] where n=10

sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]

=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2

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2 years ago

2x - 3y = 8 // Find y

konstantin123 [22]

Answer:

$y = -\frac{2}{3} x - \frac{8}{3}$

Step-by-step explanation:

$2x - 3y = 8\\$

Isolate y

$-3y = 8-2x\\-3y = -2x+8$

Divide both sides of the equation by -3

$\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}$

7 0

2 years ago

Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan's car get per gallon? Write an equation that would solv

lisabon 2012 [21]

Answer:

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Step-by-step explanation:

Step one:

given data

total distance covered= 480miles

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Step two:

hence the equation that we used in solving the problem is stated as

miles per gallon= total distance/total gallon sused

3 0

2 years ago