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2 years ago

10

Janice wanted to calculate 3/5 of the sale price of new jeans on her calculator which decimal should she type into her calculato

r that has the same value as 3/5

2 answers:

Veronika [31]2 years ago

8 0

Answer: 0.6
Explain: Because 3 divided by 5 is 0.6

QveST [7]2 years ago

7 0

Answer: 0.6

Step-by-step explanation:

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What is the product of this binomial (2x + 4y)(x + 2y)

Anon25 [30]

2x^2+8xy+8y^2
2(x^2+4xy+4y^2)

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2 years ago

a rectangle is 4 times as long as it wide. if the length is increased by 4 inches and the width is decreased by 1 inch, the area

Mekhanik [1.2K]

$x-\ width\\
y-\ length\\
4x=y\\
(y+4)(x-1)=60\\
(4x+4)(x-1)=60\\
4x^2-4x+4x+4=60\ \ | subtract\ 4\\
4x^2=56\ \ | divide\ by\ 4\\
x^2=14\\
x=\sqrt{14}\\
y=4\sqrt{14}\\\\
Dimensions:\ width=\sqrt{14}in,\ length=4\sqrt{14}in.$

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3 years ago

Consider the line x+5y=6

Tems11 [23]

Answer:

$x + 5y = 6$ is perpendicular to $y = 5x + \frac{6}{5}$ and parallel to $y = -\frac{1}{5}x + 2\\$

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> $y = -\frac{1}{5}x + \frac{6}{5}$

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

$-\frac{1}{5}$ is perpendicular to $-(\frac{-5}{1} )$ which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

$y = -\frac{1}{5}x + \frac{6}{5}\\$ is parallel to $y = -\frac{1}{5}x + 2\\$ just like $y = -\frac{1}{5}x - \frac{100}{23}$ .

6 0

2 years ago

A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil

Tatiana [17]

Answer:

I think you would add the numbers then divide by 2

Step-by-step explanation:

8 0

2 years ago

a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same

Lostsunrise [7]

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

$Time=\dfrac{Distance}{Speed}$

Time taken by the train initially to cover 288 km is $\dfrac{288}{x}$ hours.

New time taken by the train to cover 288 km is $\dfrac{288}{x+4}$ hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

$\dfrac{288}{x}-\dfrac{288}{x+4}=1$

$\dfrac{288(x+4)-288x}{x(x+4)}=1$

$288x+1152-288x=x^2+4x$

$1152=x^2+4x$

$0=x^2+4x-1152$

Splitting the middle term, we get

$x^2+36x-32x-1152=0$

$x(x+36)-32(x+36)=0$

$(x+36)(x-32)=0$

$x=-36,32$

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

3 0

2 years ago