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2 years ago

What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5

Mathematics

2 answers:

DochEvi [55]2 years ago

8 0

The correct answer is b

anyanavicka [17]2 years ago

5 0

Answer:

<h3> </h3><h3> $\boxed{ - \frac{2}{5} }$ </h3>

Option B is the correct option.

Step-by-step explanation:

$\mathrm{ - \frac{4}{5} \div 2}$

$\mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}$

$\mathrm{ - \frac{4}{5} \div 2}$

$\mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}$

$\mathrm{ - \frac{4}{5} \times \frac{1}{2} }$

$\mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}$

$\mathrm{ - \frac{2}{5} }$

Hope I helped!

Best regards!

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Easy math, but not sure what I did wrong.

Ierofanga [76]

Answer:

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year. So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3. However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6. Same problem as before.

If a₁ = 3, then a₅ = 9. This is a possible solution.

If a₁ = 4, then a₅ = 12. If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year. So he took 19 exams total in his second, third, and fourth years.

3 < a₂ < a₃ < a₄ < 9

If a₂ = 4, then a₃ = 7 and a₄ = 8.

If a₂ = 5, then a₃ = 6 and a₄ = 8.

If a₂ = 6, then there's no solution.

So Alex must have taken 8 exams in his fourth year.

4 0

2 years ago

If K is the midpoint of HJ, HK equals x+6, and HJ equals 5x-6, then KJ equals?

Natasha2012 [34]

X + 6 = 5x - 6
12 = 4x
x = 3
KJ = 2 ( x+ 6 ) = 2 * 9 = 18

7 0

3 years ago

The price for gasoline is represented by the equation y = 2.72x, where y r represents the total price for x gallons of gasoline

Kipish [7]

Answer:

Statement A is TRUE.

Given an x value of 15, y would be ;

= 2.72 * 15

= 40.8

Coordinates would therefore be (15, 40.8)

Statement B is FALSE.

The coordinates of Y given are impossible given the coordinates of X. In this scenario, Y must always be greater than X as a result of the equation.

Statement C is TRUE.

The slope in the equation takes the form of the $2.72 price being charged per gallon of gasoline such that the total price of x gallons can be calculated by multiplying the number of gallons by $2.72

Statement D is FALSE.

If the price of gasoline were to decrease by $0.03, the slope would become 2.69 not 2.75. 2.75 would be the new slope if the price had increased by $0.03 instead of decreased.