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slega [8]
3 years ago
7

The ratio of the number of cars to the number of motorcycles in a parking lot is 10 : 3. The ratio of the number of motorcycles

to the number of vans is 2 : 5. There are 30 vans in a parking lot. How many more cars than vans are there?
Mathematics
1 answer:
Harman [31]3 years ago
3 0
5 because 20:6 is the car to motorcycle. 6:15 is the motorcycle to van. 20÷15=5 ~JZ
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Guys please help me
poizon [28]
<h3>Answer:   -4</h3>

==========================================================

Explanation:

We can pick any two rows from the table to get the (x,y) points needed to find the slope.

Let's say we pick the second and third rows

Subtract the y values: 14-6 = 8

Subtract the x values in the same order: 1-3 = -2

Divide the differences: 8/(-2) = -4

The slope is -4

--------------------------------------------------

You can use the slope formula

Let's say the points are (x1,y1) = (1,14) and (3,6)

m = (y2-y1)/(x2-x1)

m = (6-14)/(3-1)

m = -8/2

m = -4

It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.

3 0
3 years ago
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes. If each machine makes p
melamori03 [73]

Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
​write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)
Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

log_{4 }6ab

This can be written as

log_{4 }6 \times a \times b

From one of the rules of logarithm, we have that

log_{x }yz= log_{x }y + log_{x }z

Thus,

log_{4 }6 \times a \times b  becomes

log_{4 }6 + log_{4 }a + log_{4 }b

This can be further simplified into

log_{4 }3 \times 2 + log_{4 }a + log_{4 }b

log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b

If desired, this can be further simplified into

log_{4 }3 + log_{2^{2}  }2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b

\frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0
1 year ago
5x + 1 = 56<br><br> Solving 2 step equations?
frutty [35]

Answer:

the x would equal to 11 ,so x=11

4 0
3 years ago
How 2 do?<br><br> (n)(n+7)(n+8)
madreJ [45]

Answer:

n^{3} + 15n^{2} + 56n

Step-by-step explanation:

First FOIL  (n + 7)(n + 8) and then distribute n

(n + 7)(n + 8) = n^{2} +15n + 56

 n (n^{2} +15n + 56)

= n^{3} + 15n^{2} + 56n

6 0
2 years ago
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