how do I figure out the weight loss of tina? she lost 3 pounds on the first week of her diet. she gained a pound on the second week, and then lost 2 pounds a week during every week afterwards. she has been dieting for a total of 13 weeks. how many pounds has tina lost in all?

Answers

Answer 1

Answer: 1st week - Lost 3 pounds = +3
2nd week - Gained 1 pound = -1
3+13 = + 22

So 22+3 = 25 25-1 = 24

So Tina lost 24 pounds in 13 weeks.

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Mr.Harrison borrows $600 to pay for a new phone. The simple interest on the loan is 9% for one year. What is the total amount Mrs.Harrison will pay back. PLEASE HURRY, thank uuuuu :)

Answers

Answer:

$ 654

Step-by-step explanation:

Mr Harrison borrows money to buy a new phone = $ 600

Simple interest on amount to be paid for 1 year =9%

Time amount to be paid= 1 year

Simple Interest= $(PRT)/(100)$

Simple Interest=600× $(9)/(100)$ ×1

Simple Interest= $54

Total Amount to be paid= 600 + 54

Total Amount = $655

Hence $ 654 is correct answer

Answer: the total amount Mrs. Harrison pay back will be, $654

Step-by-step explanation:

A helicopter hovers at an altitude that is 1000 feet above a mountain of altitude 5210 feet. A second, taller peak is viewed from both the mountaintop and the helicopter. from the helicopter, the angle of depression is 43, and the mountaintop, the angle of depression is 18 degree. how far apart are the mountain peaks? what is the altitude of the taller peak?

Answers

x - horizontal distance from peak to peak
y – difference between the altitudes of two peaks

Equations:
y/x = tan(17°)
(1100 – y)/x = tan(46°)

Solution:
y = (1100 tan(17°)) / (tan(17°) + tan(46°)) = 250.74 ft
x = y / tan(17°) = 820.12 ft

Horizontal distance from peak to peak is 820 ft.
Altitude of the taller peak is 5300 + 250 = 5550 ft.

The direct distance from peak to peak is √(x²+y²) = 857.6 ft.

Answer:

the altitude of the taller peak is equal to 5468.4 ft

Step-by-step explanation:

given,

altitude of the helicopter = 1000 ft

height of the mountain = 5210 ft

Angle of depression from helicopter = 43°

Angle of depression from mountain = 18°

$tan 18 = (h)/(s)$

$tan 43 = (1000-h)/(s)$

$(h)/(tan 18) = (1000-h)/(tan 43 )$

2.87 h = 1000 - h

3.87 h = 1000

h = 258.4 ft

Taller peak =

= 5210+258.4

= 5468.4 ft

the altitude of the taller peak is equal to 5468.4 ft

How to combine fraction

Answers

$\Large \frac { x }{ y }$ $\begin{matrix} \rightarrow numerator \n \rightarrow denominator \end{matrix}$

If two (or more) fractions have the same number as their denominator, you can just go ahead and add their numerators, without changing the denominator. For example:

$\frac { 1 }{ 2 }$ and $\frac { 4 }{ 2 }$ has the same number (2) as their denominator. So we will add their numerators, without changing the denominator.

$\frac { 1 }{ 2 } +\frac { 4 }{ 2 } \quad =\quad \frac { 1+4 }{ 2 } \quad =\quad \frac { 5 }{ 2 }$

So we added the numerators (1 + 4 = 5) and kept the denominator same (2) and we got ( $(5)/(2)$

This was the case where the fractions' denominator was same. What if it's not ?

If their denominator isn't equal, we're gonna have to equalize them ourself. How to do that ?

Let's show it with an example :

$\frac { 1 }{ 2 }$ and $\frac { 3 }{ 4 }$ do no have the same number as their denominator. To be able to add them, we have to equalize their denominators.

$\frac { 1 }{ 2 }$ 's denominator is 2 and $\frac { 3 }{ 4 }$ 's is 4

What can we do to equalize them ? Well, 4 is two times 2 ( $4 = 2\cdot 2$ ) So we cane multiply the denominator of $\frac { 1 }{ 2 }$ (which is 2) with 2 , to equal it to $\frac { 3 }{ 4 }$ 's denominator (which is 4).

But, there is a catch here. When multiplying a fraction's denominator before adding it to another, you should make sure that you're preserving its ratio. What does that mean ?

Let's take the number $\frac { 4 }{ 6 }$

(1) if we multiply only its numerator with a number (let it be 3)

$\frac { 3\cdot 4 }{ 6 } \quad =\quad \frac { 12 }{ 6 } \quad =\quad 2$

You got a new fraction with a different ratio than $(4)/(6)$ . And it is also equal to 2, but $(4)/(6)$ isn't equal to 2.

(2) if we multiply only its denominator with a number (let it be 3 again)

$\frac { 4 }{ 3\cdot 6 } \quad =\quad \frac { 4 }{ 18 }$

You got a new fraction again, with a different ration than $(4)/(6)$ .

How can we know that ? Well, if you simplify these two numbers to the simplest number, you'll get a different fraction or integer. Let's do so.

$\frac { 4 }{ 6 } \quad =\quad \frac { 2\cdot 2 }{ 2\cdot 3 } \quad =\quad \frac { 2 }{ 2 } \cdot \frac { 2 }{ 3 } \quad =\quad 1\cdot \frac { 2 }{ 3 } \quad =\quad \frac { 2 }{ 3 }$

So the simplified form of $(4)/(6)$ in the fraction form is $(2)/(3)$

$\frac { 4 }{ 18 } \quad =\quad \frac { 2\cdot 2 }{ 2\cdot 9 } \quad =\quad \frac { 2 }{ 2 } \cdot \frac { 2 }{ 9 } \quad =\quad 1\cdot \frac { 2 }{ 9 } \quad =\quad \frac { 2 }{ 9 }$

And the simplest form of $(4)/(18)$ as a fraction is $(2)/(9)$ , which is not equal to $(2)/(3)$

$\frac { 2 }{ 3 } \quad \neq \quad \frac { 2 }{ 9 }$

So what to do, to preserve the ratio ? Simle. We'll multiply also the numerator with the same number we're going to multiply the denominator with.

Let's get back to our example.

Adding $\frac { 1 }{ 2 }$ and $\frac { 3 }{ 4 }$

We were going to multiply $(1)/(2)$ 's denominator with 2. Now that we know, the ratio must not change, we'll also multiply the numerator with 2.

$\frac { 2\cdot 1 }{ 2\cdot 2 } \quad =\quad \frac { 2 }{ 4 }$

Now we've got a number which has the same denominator as $\frac { 3 }{ 4 }$

We can add them now,

$\frac { 2 }{ 4 } \quad +\quad \frac { 3 }{ 4 } \quad =\quad \frac { 2+3 }{ 4 } \quad =\quad \frac { 5 }{ 4 }$

$\boxed { \frac { 1 }{ 2 } \quad +\quad \frac { 3 }{ 4 } \quad =\quad \frac { 5 }{ 4 } }$

I hope this was clear, if not please ask and I'll try to explain.

You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value that you can get if you draw another card?

Answers

To problem wants to compute the probability of the expected value that could be earn if you would draw again another card. So base on the fact that if draw a face card of K,Q,J from a standard deck correctly you will earn 10 point in just one draw, but loose 2 points if you another card, the probability that you would draw correct card in just one draw is 30.77%, so the possible value earn you have 2 points only

Answer:

A: 0.77

Step-by-step explanation:

Edg

5. If you earn $8 per hour after taxes are taken out of your paycheck and your insurance is $200 a month, how many hours will you have to work to pay for insurance?

Answers

so 8 times x hours=200
8x=200
divide both sides by 8
x=200/8
x=100/4
x=25
you have to work 25 hours

200÷8= 25
If you earn $8 per hour after taxes are taken out of your paycheck and your insurance is $200 a month, you would have to work 25 hours would have to be worked to pay for insurance.

What two numbers add to 17 and multiply to -60?

Answers

-1 and 18
hope i could help:))

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Solve for x: 1/2(4x-6) - 1/4(12x+16)= -(2x-3)+9