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3 years ago

A train whose speed is 1.5 miles per minute travels y miles in x minutes. Express y in terms of x.

Mathematics

2 answers:

AnnZ [28]3 years ago

5 0

Y = 1.5 * x :))))))))

Ahat [919]3 years ago

5 0

Speed = y/x

1.5 = y / x

y = 1.5x

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VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

4 0

1 year ago

Please show your work I will mark you Brainiest

Talja [164]

Answer:

1. 7

2. 5/8

3. 5

4. 20

Step-by-step explanation:

There is one burger that weighs 3/8 pounds, four that weigh 1/2 pound, and two that weigh 3/4 pounds. The difference between the heaviest and the lightest is 3/4-1/8=5/8. The total combined weight is 5 pounds. 5/ 1/4= 5*4=20. Hope this helps!

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3 years ago

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The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate

ella [17]

Interest paid after 30 years is $494,546.99.

Solution:

Principal (P) = $195,000

Interest rate (r) = 4.3%

Time (t) = 30 years

n = number of times interest calculated per year

n = 1

Compound interest formula:

$$A=P\left(1+\frac{r}{n}\right)^{n t}$

where A is the final amount

$$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}$

$$A=195000\left(1+\frac{4.3}{100}\right)^{30}$

$$A=195000\left(\frac{100+4.3}{100}\right)^{30}$

$$A=195000\left(\frac{104.3}{100}\right)^{30}$

A = 689546.99

Interest = Amount - Principal

= 689546.99 - 195000

= 494546.99

Interest paid after 30 years is $494,546.99.

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Arturiano [62]

1 1/2 pounds is how much her puppy gained altogether

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kirza4 [7]

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