At 10a.m. Juan leaves the city traveling north at 60 mi/hr. One hour later mel leaves the city traveling south at 50 mi/hr. At what time will they be 830 miles apart?

Answers

Answer 1

Answer: -- At 11 AM, when Mel starts out, Juan has already covered 60 miles.

-- After that, since they're traveling in opposite directions, the distance
between them increases (60 + 50) = 110 miles every hour.

Let's call 'H' the number of hours after 11 AM.
Then the distance between them is

D = 110H + 60

When is this distance 830 miles ? Wouldn't you like to know !

830 = 110H + 60

Subtract 60 from each side:

770 = 110H

Divide each side by 110 :

H = 770 / 110 = 7 .

It happens 7 hours after 11 AM.
That would be 6:00 PM .

Answer 2

Answer:

$(60)/(1) = (830)/(x)$
$60x = 830$
$x = 13.83$
$10 + 13.83 = 23.83$
23.83 hours is around 11:50pm

$(50)/(1) = (830)/(x)$
$50x = 830$
$x = 16.6$
$11 + 16.6 = 27.6$
$27.6 - 24 = 3.6$
3.6 is around 1:36am

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While exercising julie found that her heart was beating 12 times every 5 seconds.how many times was it beating per minute

Answers

Julie needs to stop counting her heart rate and start actually exercising. Her heart is currently beating at 144 times a minute.

would you choose to use a hundred chart to solve 90- 80? why or why. not ? if not. which strategy would work better?

Answers

It is not necessary to use a hundred chart to solve 90 - 80, the strategies are counting up and number bonds.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

To solve 90-80

Now,

Counting up: Starting from 80, count how many numbers you need to add to get to 90. This can be done by counting by ones or by using skip counting, such as counting by tens and then adjusting for the remaining ones. For example, counting by tens would give 80, 90, so the answer is 2.

Using number bonds: Recognize that 90 is a "friendly" number that can be decomposed into 80 and 10. Then, subtract 80 from 80 to get 0, and subtract 10 from 10 to get 0, so the answer is 0 - 0 = 0.

Using mental math: Recognize that 90 - 80 is the same as 9 - 8, which is 1. This can be done by subtracting the ones digits first, and then the tens digits if necessary.

In summary, while a hundred chart can be a useful tool for some math problems, it may not be the most efficient or necessary strategy for solving 90 - 80.

Therefore, by algebra the answer will be counting up and number bonds.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ3

i would use a tens chart because both numbers are multiples of 10, and there both under 100, so it would work out better if u use a tens chart, since the numbers are in the tens place and would give u a product of 10.

i hope this helps u

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.

Answers

Answer: The prove is mentioned below.

Step-by-step explanation:

Here the given functions are,

$f(x)=(x-7)/(x+3)$

$g(x)=(-3x-7)/(x-1)$

We have to prove that: f(g(x)) = x and g(f(x)) = x.

Since $f(g(x))= ((-3x-7)/(x-1) -1)/((-3x-7)/(x-1) +3)$

⇒ $f(g(x))= (-3x-7-7x+7)/(-3x-7+3x-3)$

⇒ $f(g(x))= (-4x)/(-4)$

⇒ $f(g(x))= x$

Now, $g(f(x))= (-3(x-7)/(x+3) -7)/((x-7)/(x+3) -1)$

⇒ $g(f(x))= (-3x+21-7x-21)/(x-7-x-3)$

⇒ $g(f(x))= (-10x)/(-10)$

⇒ $g(f(x))= x$

Answer with Step-by-step explanation:

We are given that

$f(x)=(x-7)/(x+3)$

$g(x)=(-3x-7)/(x-1)$

We have to confirm that f and g are inverses by showing that f(g(x))=x=g(f(x))

$f(g(x))=f((-3x-7)/(x-1))$

$f(g(x))=((-3x-7)/(x-1)-7)/((-3x-7)/(x-1)+3)$

$f(g(x))=((-3x-7-7x+7)/(x-1))/((-3x-7+3x-3)/(x-1))$

$f(g(x))=(-10x)/(x-1)* (x-1)/(-10)$

$f(g(x))=x$

$g(f(x))=g((x-7)/(x+3))$

$g(f(x))=(-3((x-7)/(x+3))-7)/((x-7)/(x+3)-1)$

$g(f(x))=((-3x+21-7x-21)/(x+3))/((x-7-x-3)/(x+3))$

$g(f(x))=((-10x)/(x+3))/((-10)/(x+3))$

$g(f(x))=(-10x)/(x+3)* (x+3)/(-10)=x$

Hence, f(g(x))=g(f(x))=x

Therefore, f and g are inverses.

2. You spin a spinner that has eight equal-sized sections numbered one to eight. Which event isleast likely to occur?
The number is even.
The number is less than three.
The number is greater than three.
The number is a multiple of five.

Answers

Answer:

Getting a multiple of 5 is the least likely outcome.

Step-by-step explanation:

We spin a spinner that has 8 equal-sized sections numbered 1 - 8.

We have to find which is the least likely to occur.

The number is even when outcomes are 2,4,6 or 8.

Number of outcomes = 4

If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.

If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.

If the number is a multiple of 5, only 1 outcome is there which is 5 itself.

Hence getting a multiple of 5 is the least likely outcome.

What is a fraction of a circle of 120 degree

Answers

Since the fraction of 120 at a circle is 120/360 which is 1/3

Each week Suresh saves 312 of his allowance. Lisa saves 812 of her allowance each week. The children get the same amount of money for their allowances. How much less of his allowance does Suresh save than Lisa saves each week?

Answers

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