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Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1/15 of his suitcase. If he has two suitcases, how much r

Gala2k [10]

Answer:

Thomas still has 1 3/5 suitcases available for his own belongings.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of souvenirs bought by Thomas = 6

Space that each souvenir takes of Thomas suitcase = 1/15

Number of Thomas suitcases = 2

2. How much room is left for his own belongings in his suitcases?

Let's find out how much space the souvenirs take:

Number of souvenirs * Space that each souvenir takes

6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)

The souvenirs take 2/5 of one suitcase.

Now, we can calculate the room that is left for Thomas' belongings.

2 Suitcases - 2/5 for the souvenirs

2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5

Thomas still has 1 3/5 suitcases available for his own belongings.

6 0

2 years ago

At the end of a recent WNBA regular season, the Phoenix murmur had 12 more victories than losses. The number of victories they h

Hoochie [10]

Answer:

34 games

Step-by-step explanation:

let the number of losses be $l$

let the number of victories be $v$

the Phoenix murmur had 12 more victories than losses:

$v=l+12$

The number of victories they had was one more than two times the number of losses:

$v=2l+1$

We have 2 expressions for $v$ , equating these 2, we can solve for $l$ :

$l+12=2l+1\\12-1=2l-l\\11=l$

So 11 games, they lost.

Using this value, we can plug into the 1st equation to solve for v:

$v=l+12\\v=11+12\\v=23$

So 23 games, they won.

Given that no draws, they played a total of 23 + 11 = 34 games this season

6 0

3 years ago

Use the law of sines to find what Angle R is:

stich3 [128]

Answer:

Step-by-step explanation:

So, according to the law of Sines, we have

$\frac{Sin(A)}{a} = \frac{Sin(b)}{b}$

In our case, we have S and R, so...

$\frac{Sin(S)}{s} = \frac{Sin(R)}{r}$

And we want to isolate R...

$r = sin^{-1} (\frac{Sin(S) * r}{s} ) = sin^{-1} (\frac{Sin(52) * 32}{26} ) = 75.90$

the angle of R is then 75.90 degrees.

5 0

3 years ago

The formula for the future value VV (in dollars) of an investment earning simple interest is V=p+prtV=p+prt, where pp (in dollar

wlad13 [49]

The future value of the investment in dollars s
V = p + prt
where
p = principal, dollars
r = annual interest rate (in decimal form)
t = time, years

To determine p, write the formula as follows:
Factorize p out on the right side.
V = p(1 + rt)
Divide each side b (1 + rt).
$\frac{V}{1+rt}=p$

Answer:
$p= \frac{V}{1+rt}$

5 0

2 years ago

N-10+9n-3 combine the like terms

Shkiper50 [21]

Answer:

10n-13

Step-by-step explanation:

n is positive and 9n is positive so you add 9n and n

9n+n=10n

10 is negative and so is 3 so you do negative 10 minus 3

-10-3=-13

10n-13

3 0

2 years ago