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2 years ago

Alexander's dividing oranges into eighths he has 5 oranges.how many eights will be have

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

7 0

Ther will be 40 eights. Hope this helps!

nordsb [41]2 years ago

5 0

5/8(five eighths) because 5 divided by 8 equals five eighths.

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2. Tennis rackets can be packaged in cartons holding 2 rackets cach or in

Liula [17]

Answer:

There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets

Step-by-step explanation:

Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y

∵ There are x cartons of 2 rackets

∵ There are y cartons of 3 rackets

∵ They used 38 cartons

∴ x + y = 38 ⇒ (1)

∵ They packed a total of 100 rackets

∴ 2x + 3y = 100 ⇒ (2)

Let us solve the system of equations

→ Multiply equation (1) by -2 to make the coefficients of x in

the equations equal in values and different is signs

∵ -2(x) + -2(y) = -2(38)

∴ -2x - 2y = -76 ⇒ (3)

→ Add equations (2) and (3)

∴ y = 24

→ Substitute the value of y in equation (1) or (2) to find x

∵ x + 24 = 38

→ Subtract 24 from both sides

∴ x + 24 - 24 = 38 - 24

∴ x = 14

There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets

7 0

2 years ago

What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?

IRINA_888 [86]

Answer:

$3\sqrt{2}$

Step-by-step explanation:

For the complex number $a+bi,$ the absolute value is $\sqrt{a^2+b^2}$

Given the complex number $-4-\sqrt{2}i.$ For this complex number,

$a=-4\\ \\b=-\sqrt{2},$

then the absolute value is

$\sqrt{(-4)^2+(-\sqrt{2})^2}=\sqrt{16+2}=\sqrt{18}=3\sqrt{2}$

6 0

2 years ago

Read 2 more answers

A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on

Ksivusya [100]

Answer: zero

Step-by-step explanation:

Since, in the military clock 24 is the greatest number which has been made up of the first two digits on the clock.

So, there is no number greater than 24 which has been made up of the first two digits on the clock.

The total number made up of the first two digits on the clock.=24

Therefore, the probability that the number made up of the first two digits on the clock is greater than 24 = $\frac{\text{number greater than 24}}{\text{total numbers }}=\frac{0}{24}=0$

Hence, probability that the number made up of the first two digits on the clock is greater than 24 is zero.

7 0

2 years ago

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

$y-y_1=m(x-x_1)$

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and

nikdorinn [45]

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) is given by $[\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ]$ .

So, in our case ( $x_{1},y_{1}$ ) ≡ (-5,-10) and ( $x_{2},y_{2}$ ) ≡ (-1,5).

Therefore, the slope of the line is $\frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75$ (Answer)

7 0

2 years ago