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murzikaleks [220]
1 year ago
13

Simplify (2/5÷3/8)÷(-3/5)

Mathematics
1 answer:
liberstina [14]1 year ago
3 0

Answer:

\pink{ - 1 \frac{7}{9} }

Step-by-step explanation:

( \frac{2}{5}  \div  \frac{3}{8} ) \div ( -  \frac{3}{5} ) \\ (\frac{2}{5}  \times  \frac{8}{3} ) \times ( -  \frac{5}{3} ) \\  \frac{16}{15}  \times  -  \frac{5}{3}  \\ -   \frac{80}{45}

As the answer can be more simplified, divide both numerator and denominator by 5.

-  \frac{16}{9}  =   - 1 \frac{7}{9}

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Show solutions please
slega [8]

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

3 0
3 years ago
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
uranmaximum [27]

Answer: y= 3x -  6\frac{1}{2}

Step-by-step explanation:

Since we know the slope and a set of coordinates we can insert them into the formula y=mx+b and find what b is.

y=mx+b

-1/2=3(2)+b

-1/2=6+b

-1/2-6=6-6+b

-6 1/2=b

Therefore the equation is y=3x -  6\frac{1}{2}

8 0
3 years ago
PLEASE HELP, IM ALMOST OUT OF TIME. 50 POINTS
AVprozaik [17]

Step-by-step explanation:

Answer is this hope it helps to you

7 0
3 years ago
Elena is baking her famous pumpkin pie. She wants to know how much flour she needs
taurus [48]
For one pie , she will use 2.3 cups of flour .
5 0
3 years ago
WILL GIVE 30 points a scatter plot and a possible line of best fit is shown is the line of best fit accurate for the data shown
melisa1 [442]
I would say 2. As the line of best fit is supposed to represent the average of all the data points. It's not nessecarily needed to go through every point.
4 0
3 years ago
Read 2 more answers
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