All categories

1 year ago

Evaluate w+ -x+ 2/3 when w=-5/9 and x=4/3

Mathematics

1 answer:

Kruka [31]1 year ago

7 0

Step-by-step explanation:

$w = - \frac{5}{9}$

$x = \frac{4}{3}$

$\:$

$= w + ( - x) + \frac{2}{3}$

$= - \frac{5}{9} + ( - \frac{4}{3} ) + \frac{2}{3}$

$= - \frac{5}{9} - \frac{4}{3} + \frac{2}{3}$

$= - \frac{5}{9} - \frac{2}{3}$

$= - \frac{5}{9} - \frac{6}{9}$

$= - \frac{11}{9}$

You might be interested in

Can I get help with this

Marta_Voda [28]

Answer:

X = 60

Y = 50

Step-by-step explanation:

The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.

On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.

3 0

2 years ago

My car gets 27 miles per gallon, and gasoline costs $2.50 per gallon. If we consider only the cost of gasoline, how much does it

Andrew [12]

Answer:

$71.50

Step-by-step explanation:
27 times 2.50 equals 71.50

5 0

2 years ago

12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely

AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is $6 a b^{2}(a+2)(2 a-1)$

<u>Solution:</u>

Given, expression is $12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

We have to factorize the given expression completely.

Now, take the expression

$12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

Taking $b^2$ as common term,

$b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)$

Taking "a" as common term,

$b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)$

Taking "6" as common term,

$b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)$

Splitting "3a" as "4a - a" we get,

$b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)$

$\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}$

Hence, the factored form of given expression is $6 a b^{2}(a+2)(2 a-1)$

4 0

2 years ago

Plz helppppp!!!! Thanks

solong [7]

Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

3 0

2 years ago

A large brine tank containing a solution of salt and water is being diluted with fresh water.

kirza4 [7]

Answer:

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S(t) = 500*e^(-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)

Replacing with t = 10

S(t) = 500*e^(-0.25*10)

S(t) = 41.04 g/L

6 0

2 years ago