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aleksklad [387]
3 years ago
10

Michael and Bill are 238 miles apart, traveling towards each other. If Bill travels 20 mph and Michael travels 14 mph how long u

ntil they meet?
Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

They will meet in 7 hours.

Step-by-step explanation:

They are traveling toward each other, which means that their relative speed is the sum of their speeds.

Bill travels 20 mph and Michael travels 14 mph

This means that their relative speed is of 20 + 14 = 34 mph, that is, they get 34 miles closer each hour.

Michael and Bill are 238 miles apart, how long until they meet?

Each hour, they will be 34 miles closer. How many hours for 238 miles?

1h - 34 miles

x h - 238 miles

By rule of three

34x = 238

x = \frac{238}{34} = 7

They will meet in 7 hours.

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7. Marco is making beaded bracelets. Each
stiks02 [169]

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

4 0
3 years ago
What ordered pair is a solution of 5x-2y=18
vodka [1.7K]
(0,-9) could be a solution
4 0
3 years ago
PLEASE PLEASE HELP
marta [7]

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

f(t)=a(r)^t

In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.

Our initial amount <em>a </em>is 185 grams.

So, by substitution, we have:

\displaystyle f(t)=185\big(\frac{1}{2}\big)^t

Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.

We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:

\displaystyle f(6)=185\big(\frac{1}{2}\big)^6

Evaluate:

\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3

So, after six half-lives, there will be approximately 3 grams left.

3 0
3 years ago
at a grocery store, an uncooked beef roast is on sale for $5.99/lb. At the same grocery store, prepared roast beef is available
-Dominant- [34]

Answer:

$7.58/lb

Step-by-step explanation:

raw roast: $5.99 per lb

deli roast: $2.99 for 100g

We know the price per lb of the raw roast.

Let's find the price per lb of the deli roast.

1 lb = 454 grams

454 grams / 100 grams = 4.54

1 lb is 4.54 times 100 g

If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.

$2.99/lb * 4.54 = $13.57/lb

raw roast: $5.99/lb

deli roast: $13.57/lb

difference in price of 1 lb: $13.57 - $5.99 = $7.58

Answer: $7.58/lb

3 0
3 years ago
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If <br>4x+(y+x)=180<br>what is x? what is y?​
uysha [10]

Step-by-step explanation:

4x+(y+x)=180\\\\\text{Solve for}\ x:\\\\4x+y+x=180\qquad\text{combine like terms}\\\\(4x+x)+y=180\qquad\text{subtract}\ y\ \text{from both sides}\\\\5x=180-y\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{180-y}{5}\\\\\boxed{x=\dfrac{180-y}{5}}\\\\\text{Solve for}\ y:\\\\5x+y=180\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\\boxed{y=180-5x}

7 0
3 years ago
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