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2 years ago

Is this proportional

Mathematics

1 answer:

emmasim [6.3K]2 years ago

6 0

Answer:

Yes

Step-by-step explanation:

For every 1/2 mile, it takes 1/4 hour. For the 1 mile, this is double the 1/2 mile, so the hours should be double the 1/4 hour. This is true because 1/2=2/4 and 2 times 1/4, or 1/4• 2 equals 2/4. It is the same idea for the 3rd row.

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Given the arithmetic sequence where a_{1} = - 5 and d = 6 , what is a_{5} ?

dexar [7]

A_{5} = a_{1} + 4d = -5 + 4 x 6 = 19

3 0

1 year ago

The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

6 0

3 years ago

Is what I have correct answer right away 100 points!!!!!

Semmy [17]

That's correct, because I learned it in math already

7 0

2 years ago

Read 2 more answers

hold a maximum of 125 ice cream treat he usually sells at least 45 cookie sandwiches no fewer than 40 fudge pops each day

harkovskaia [24]

Answer:

Step-by-step explanation:

Reduce the expression,if possible, by cancelling the common factors.

7 0

3 years ago

1/5 plus -4/5 what is your total?

Furkat [3]

Answer:

-0.6

Step-by-step explanation:

I saw it on google.

5 0

3 years ago

Is this proportional​

Is this proportional