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4 years ago

Help please I’m stuck on this problem

Mathematics

2 answers:

slavikrds [6]4 years ago

6 0

120 km / 2km = 60

60*0.5 = 30 cm

Alenkinab [10]4 years ago

3 0

The answer is 1cm because 0.5 x 2 is 1

Hope this helps :)

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A man made reservoir is filled in 15 days by 4 piples,if 4 pipes are used ,how long will it take to fill the reservoir

Delicious77 [7]

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3 years ago

What is 20=8,it will be a real help.

Andrews [41]

Answer:

it is a invalid equation

Step-by-step explanation:

20 is not equal to 8

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4 years ago

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Why are 1995 pennies worth less than 2018 pennies?

Gekata [30.6K]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

(PLEASE HELP) Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $24

MariettaO [177]

Let x represent amount of money that Tony needs to deposit to avoid a fee.

We have been given that Tony has $727.29 in his checking account. He wrote a check for $248.50 today.

Let us find amount of money left in Tony's account after writing a check of $248.50 as:

$\$727.29-\$248.50$

After depositing x dollars in account, total amount of money in Tony's account would be $727.29-248.50+x$ .

Since Tony must maintain a $500 balance to avoid a fee, so amount of money is his account should be greater than or equal to 500.

We can represent this information in an inequality as:

$727.29-248.50+x\geq 500$

Therefore, our required inequality would be $727.29-248.50+x\geq 500$ and option C is the correct choice.

Let us solve for x.

$478.79+x\geq 500$

$478.79-478.79+x\geq 500-478.79$

$x\geq 21.21$

Therefore, Tony must deposit at-least $21.21 to avoid a fee.

8 0

3 years ago

4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

Dimas [21]

Answer:

4) The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8 ⇒ (2)

5) The equation of the image of the line is y = $\frac{3}{2}$ x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = $\frac{3}{4}$ x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m = $\frac{3}{4}$ , so the

equation after dilation has the same slope

∵ The slope of the line before dilation is $\frac{3}{4}$

∴ The slope of the line after dilation is $\frac{3}{4}$

∵ The equation that has the slope $\frac{3}{4}$ is y =

∴ The equation of the image of the line is y = $\frac{3}{4}$ x + 8

The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8

∵ The equation of the line is y = $\frac{3}{2}$ x - 4

∵ The scale factor of dilation is $\frac{3}{4}$

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is $\frac{3}{2}$

- Dilation changes the y-intercept, to find it multiply the scale

factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by $\frac{3}{4}$

∵ $\frac{3}{4}$ × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = $\frac{3}{2}$ x - 3

3 0

3 years ago