A submarine submerged at a depth of −40 feet dives 57 feet more. What is the new depth of the submarine?

Answers

Answer 1
Answer:

Answer:

-97 feet

Step-by-step explanation:

-40+-57=-97


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Angela pays $393 in advance on her account at the athletic club. Each time she uses the club, $5 is deducted from the account. Write and equation in her account after x visits to the club. Find the value remaining in the account after 18 visits.

Answers

In this question, we're trying to find how much money she'll have after 18 visits.

We know that she already paid $393 dollars

We also know that there is a $5 deduction from the account for every time she uses the club

x = visits to the club

y = value remaining in the account

Our equation would be:

y = -5x +393

Since we know that she visited the club 18 times, plug 18 into x and solve:

y = -5(18)

y = -90 + 393

y = 303

This means that after 18 visits, there will be a remaining balance of $303

Answer:

$303

Answer:

y= 393- 5(x)    after 18 visits value remaining in her account is 303$

Step-by-step explanation:

let the amount in her account be y $

y= 393- 5(x)  where x is the number of visits.

after 18 visits y= 393- 5(18)= 393-90= $303

Is the inequality sometimes,always, or never true ? A. 3(x +3) >- 3 (2 +x)
B. 9-x-5<-x+4

Answers

A. 3(x + 3) > -3(2 + x)  SOMETIMES TRUE

3(x + 3) > -3(2 + x)      |use distributive property a(b + c) = ab + ac

3x + 9 > -6 - 3x      |add 3x to both sides

6x + 9 > -6     |subtract 9 from both sides

6x > -15    |divide both sides by 6

x > -15/6

x > -2.5

B. 9 - x - 5 < - x + 4      NEVER TRUE

9 - x - 5 < - x + 4

4 - x < - x + 4    |add x to both sides

4 < 4 FALSE

at trace state park in mississippi, there is a 40 mile mountain bike trail. tommy rode 1/2 of the trail on saturday and 1/5 of the trail on sunday. he estimates that he rode more than 22 miles over the two days. is tommy's estimate reasonable?

Answers

Yes it is reasonable because he rode half of the trail on Saturday which was 20 miles, then 1/5 of the trail on Sunday which was 8 miles for a total of 28 miles. Thus he rode more then 22 miles over the two days and making his estimate plausible. 

Theo used to drive 60 miles to work each day. His new home is now 20 miles awayfrom his job. What is the percent of
decrease in the distance Theo travels to
work? Round to the nearest tenth if
necessary.

Answers

The percentage of decrease in the distance Theo travels to work is 66.7%.

Used concept of percentage;

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that;

Theo used to drive 60 miles to work each day.

And, His new home is now 20 miles away from his job.

Hence the percentage of decrease in the distance Theo travels to work is,

P = (60 - 20)/60 x 100

P = 40/60 x 100

P = 66.7%

So, The percentage of decrease in the distance Theo travels to work is 66.7%.

Learn more about the percentage visit:

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Answer:

66.6% decrease in distance

Rounded 67%

He is traveling 1/3 of what he used to travel

Step-by-step explanation:

Which counterexample disproves this statement?
for all integers x, 1/x less than or equal to x

Answers

One counter example would be -2. -1/2 is more than -2.

If it takes 3 days for 10 workers to finish building one house, how many days will it take 15 workers to finish four houses?

Answers

-- It takes 10 workers 3 days to build 1 house.
so
-- It takes 10 workers 1 day to build  1/3  of a house.
so
-- It takes 1 worker 1 day to build  1/30  of a house.

You got 15 workers and you need 4 houses ?

Well, as we just calculated . . .

-- It takes 1 worker 1 day to build  1/30  of a house.
so
-- It takes 15 workers 1 day to build  15/30 = 1/2  of a house.
so
-- It takes 15 workers 2 days to build 1 whole house.
so
-- It takes 15 workers  8 days  to build 4 houses.