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SCORPION-xisa [38]
3 years ago
13

Simplify.

Mathematics
2 answers:
elena55 [62]3 years ago
7 0

\dfrac{4}{10}-\dfrac{2}{15}=\dfrac{4\cdot 15-10\cdot 2}{10\cdot 15}\\\\=\dfrac{40}{150}=\dfrac{4}{15}

The correct choice appears to be ...

... A) 4/15

hjlf3 years ago
6 0

Answer:

A 4/15

Step-by-step explanation:

sudtract

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Sylvia worked 3 hours and 45 minutes, while Paul worked 4 hours and 35 minutes. What’s the ratio of Sylvia’s work time to Paul’s
alexira [117]
Answer: 9 / 11

That is approximately 0.82


Explanation:

The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.

So, the ratio of Sylia's work time to Paul's work time is:

Sylvia's work time
---------------------------
Paul's work time

Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.

If you choose to work with hours, this is the work:

1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours

2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours

3) Ratio:

Sylvia's work time             3.75 hours            3.75*12         45          9
------------------------- =      --------------------- = ---------------- =  -------- =   -----
Paul's work time               (55/12) hours            55              55         11

≈ 0.82

You can calculate the ratio using minutes and shall obtain the same result. Look:

1) 3 hours + 45 minutes = 3 * 60  minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes

2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes

3)

225 minutes          9
----------------- =     ------, which is the same result obtained above.
275 minutes         11
3 0
3 years ago
Read 2 more answers
Find the equation of a line perpendicular to x=5 that contains the point (-2,2). White the equation in slope intercept from
Aleksandr [31]

The line which represents the equation x = 5 is a vertical line that passes through any point hax x-coordinate of 5

Then the perpendicular line to this line must be a horizontal line

The equation of any horizontal line is y = b, where

b is the y-coordinate of any point that lies on the line

Since the line passes through the point (-2, 2), then

b = 2

Then the equation of the line is

y = 2

8 0
1 year ago
A ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550-foot ride up a mountain. Charlotte nee
Nesterboy [21]

Answer:

sin 35* x/6550

hypotenuse is 6550

35* left to the right angle

x above right angle

Step-by-step explanation:

Got lucky

4 0
2 years ago
If PQR measures 75° , what is the measure of SQR
ss7ja [257]

Answer:

PQR+SQR=180°(angles in a triangle)

75°+SQR=180°

SQR=180°-75°

SQR=105°

4 0
2 years ago
-x + 3y − z = -9<br> x − 2y + 2z = 8<br> 2x − y + z = 7
evablogger [386]

Answer:

(x,y,z)=(2,-2,1)

Step-by-step explanation:

3 0
3 years ago
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