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Tasya [4]
3 years ago
14

Two friends, 7 miles apart, start walking toward each other, and they meet in an hour. If one boy walks 1 mile farther in an hou

r than the other boy, how fast does each walk?
Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0

Answer:

The answer is 3 miles and 4 miles.

Xelga [282]3 years ago
3 0
So lets say the distance one boy travels is 'x', you can set up an equation like this:
x + x + 1 = 7
2x +1 = 7
2x = 6
x = 3
So one boy walks 3 miles in one hour, and the other walks 4 miles in one hour.
Therefore, their speeds are 3 miles per hour and 4 miles per hour respectively.

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Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a
densk [106]
To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

m= d {e}^{tc}

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

ln( \frac{m}{d} ) = tc

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

ln( \frac{4331.16}{4132.79} ) = (0.25)c

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

ln( \frac{8000}{4132.79} ) = t(0.1875)

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!
5 0
3 years ago
Read 2 more answers
Why is 7/12 greater than 1/3 but less than 2/3
Leno4ka [110]
Because 1/3 = 4/12 so 7/12 is greater and 2/3 = 8/12 so it is greater than 7/12
8 0
2 years ago
The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Writ
luda_lava [24]

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50

4 0
3 years ago
Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?
madam [21]
The answer is a point
5 0
3 years ago
Read 2 more answers
Please help I need to know the answer
Kazeer [188]
Answer:

Original price: 51$
Discount percentage: 40%

-----------

Details
Discount = Original Price x Discount %/100
Discount = 51 × 40/100
Discount = 51 x 0.4
You save = $20.40

Final Price = Original Price - Discount
Final Price = 51 - 20.4
Final Price = $30.60

there you go, coupon A is 20.40$ Dollars less than the price of coupon B, your welcome :)) i wish u best of luck in the exam:)

also, please mark me as brainliest, it would really help me out, thanks :))
4 0
2 years ago
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