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Margarita [4]
3 years ago
9

A train leaves the station traveling west at a constant rate of 45 mph. An express train leaves the same station 1 hour later he

ading west on the same route, traveling at a constant rate of 60 mph. How many hours will the first train have been traveling when the express train catches up to it?
Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0
The train will have been traveling for 4 hours 


train A=45,90,135, 180
train B=0,60,120,180

NNADVOKAT [17]3 years ago
7 0

Answer:

I believe it would be 4 hours : )

Step-by-step explanation:

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skelet666 [1.2K]
A= l*w
168= 14*w

Divide both sides by 14
168/14= 14w/14
12=w

Final answer: 12 ft (I'm not sure if you meant to switch the order of b and c).
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3 years ago
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Jonathan goes to the store and purchases 3 pencils for 0.28 each, and y number of erasers for 0.38 each. Write an expression tha
laiz [17]

Keywords


linear equation, variables


Step 1


Define the variables


Let


x-----> number of erasers


y-----> total cost


we know that




 ------> this is the linear equation that represent the situation


therefore


the answer is y = 0.84 + (0.38)x



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3 years ago
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Prove that the median to the hypotenuse of a right triangle is half the hypotenuse,
REY [17]

Answer:

D. 2

Step-by-step explanation:

M(0,2b)

N(2a,0)

Then the midpoint P coordinates are

P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)

Use distance formula to find OP and MN:

OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}

So,

MN=2OP

or

OP=1/2 MN

Click to let others know, how helpful is it

7 0
2 years ago
A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl
LUCKY_DIMON [66]

Answer:

A=5.29\pi

Step-by-step explanation:

<u>Formula for circumference of a circle is</u>:

Circumference = 2\pi r


<em>Given circumference of the ring is 4.6\pi</em>

<em>Now solving for the radius gives us:</em>

2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3


We know that area of a circle is \pi  r^2, substituting the value of r we found, we get the area as:

area (A) = \pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi


Hence the Area (A), in terms of \pi is 5.29\pi

5 0
3 years ago
Read 2 more answers
Rogue Industries reported the following items for the current​ year: Sales​ = $3,000,000; Cost of Goods Sold​ = $1,500,000; Depr
Nataly_w [17]

Answer:

Rogue's operating income is $770000

Step-by-step explanation:

Given data

Sales​ = $3,000,000

Cost of Goods Sold​ = $1,500,000

Depreciation Expense​ = $170,000

Administrative Expenses​ = $150,000

Interest Expense​ = $30,000

Marketing Expenses​ = $80,000

Taxes​ = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense -  Marketing Expenses - Taxes

so put now all these value to get the income      

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

hence            

so  Rogue's operating income is $770000

7 0
3 years ago
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