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3 years ago

Put a positive factor back into the square root: -5*sqrt(0.6)

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Answer:

$-\sqrt{15}$

Step-by-step explanation:

we know that

To put factor back into the square root, we have to put squared value

we have

$-5\sqrt{0.6}$

Remember that

$5=\sqrt{5^2}$

substitute in the expression above

$-5\sqrt{0.6}=-\sqrt{(5^2)(0.6)}=-\sqrt{25*0.6}=-\sqrt{15}$

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0.65 is 10 times as much as

leonid [27]

0.65 x 10 = 6.5
0.65 is 10 times as much as 6.5

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3 years ago

Paul owes Paula 3535 cents and has a pocket full of 55-cent coins, 1010-cent coins, and 2525-cent coins that he can use to pay h

Ray Of Light [21]

Paul owes paula 35 cents...she has a pocket full of nickels,dimes,and quarters.

largest number of coins would be : 7 nickels (7 coins)
smallest number of coins would be : 1 quarter and 1 dime (2 coins)

the difference is : 7 - 2 = 5 coins <=

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3 years ago

Is y=3x+4 parallel or perpendicular

Sauron [17]

Answer: $y=3x+4$ is parallel to $y=3x+7$

Step-by-step explanation:

<h3> The complete exercise is: "Is $y=3x+4$ parallel, perpendicular or neither to $y=3x+7$ ?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

$y=3x+4$

You can identify that "m" and "b" are:

$m=3\\b=4$

And the other line provided in the exercise is this one:

$y=3x+7$

So, you can identify that:

$m=3\\b=7$

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0

3 years ago

9/8 divided by 3/8<br><br> 3/5 divided by 2/3

suter [353]

9/8 divided by 3/8 is 3 (because of the same denominator look at the first number)

3/5 divided by 2/3 is 0.9 hope this helps

8 0

2 years ago

A supermarket increases the prices of some grocery items by 10%.

Juli2301 [7.4K]

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

6 0

1 year ago