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enot [183]
2 years ago
12

It took 30 minutes to drive 45 miles.

Mathematics
1 answer:
Lelechka [254]2 years ago
7 0

Answer:0.43 hours

Step-by-step explanation:

15

miles

35

miles

hour

=

5

⋅

3

5

⋅

7

hours

=

3

7

hours

=

0.43

hours

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Josiah went to the local barber to get his haircut. It cost $18 for the haircut. Josiah tipped the barber 15%. What was the tota
salantis [7]

Answer:

2.70

Step-by-step explanation:

5 0
2 years ago
What’s the domain and range of:<br> log(√(2x-1) + 3 )<br> Please explain how you got it too!!
Radda [10]

Two main facts are needed here:

1. The logarithm \log x, regardless of the base of the logarithm, exists for x>0.

2. The square root \sqrt x exists for x\ge0.

(in both cases we're assuming real-valued functions only)

By (2) we know that \sqrt{2x-1} exists if 2x-1\ge0, or x\ge\dfrac12.

By (1), we know that \log(\sqrt{2x-1}+3) exists if \sqrt{2x-1}+3>0, or \sqrt{2x-1}>-3. But as long as the square root exists, it will always be positive, so this condition will always be met.

Ultimately, then, we only require x\ge\dfrac12, so the function has domain \left[\dfrac12,\infty).

To determine the range, we need to know that, in their respective domains, \sqrt x and \log x increase monotonically without bound. We also know that x=\dfrac12 at minimum, at which point the square root term vanishes, so the least value the function takes on is \log3. Then its range would be [\log3,\infty).

3 0
3 years ago
The Big Falcon Rocket (BFR or Starship) from Space X can carry approximately 220,000 pounds. If they only carried $100 bills, ho
kifflom [539]

Answer:

$9,979,032,100 or $9.979 billion

Step-by-step explanation:

The approximate weight of a $100 bill is 1 gram.

All of the calculations bellow assume that the volume of the bills would not be an issue and only concerns weight.

1 pound is equivalent to approximately 453.59237 grams.

The weight in grams that the Big Falcon Rocket can carry is:

W= 220,000*453.59237=99,790,321.4\ g

Since each bill weighs 1 gram, the number of bills it could carry, rounded to nearest whole bill is 99,790,321. The total amount it could carry is:

A=99,790,321*\$100=\$9,979,032,100

4 0
3 years ago
At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
Zepler [3.9K]

The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup

Hence, we have that the fraction of the orange juice will be 2/3cup.

Have a nice day!

8 0
3 years ago
Gregory drinks 6 liters of water over 2 days. And how many days would he consume another 12 liters?
Mashutka [201]
4 days because he drinks 6 in two and 12 in 4 days.
5 0
3 years ago
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