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SCORPION-xisa [38]
3 years ago
6

which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4​

Mathematics
1 answer:
wolverine [178]3 years ago
6 0

Good morning

______

Answer:

2/3 < 3/4​

___________________

Step-by-step explanation:

2/3 = (2*4)/(3*4)=8/12

3/4 = (3*3)/(4*3)=9/12

Since 9/12>8/12 then 3/4>2/3

:)

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the area of a rectangle is 90 in2^. the ratio of the length to the width is 5:2. find the length and the width
-BARSIC- [3]

Length and width of rectangle is 15 inches and 6 inches respectively

<h3><u>Solution:</u></h3>

Given that area of a rectangle is 90 square inch

Ratio of length to the width = 5: 2.

Need to determine length and width of rectangle.  

As ratio of length to the width is 5 : 2

Lets assume length of rectangle = 5x inches and width of rectangle = 2x inches.

<em><u>The formula for area of rectangle is given as:</u></em>

\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle}

Substituting the given value of area of rectangle and assumed value of length and width of rectangle we get:

\begin{array}{l}{90=5 x \times 2 x} \\\\ {=>90=10 x^{2}}\end{array}

On solving the above expression for x we get

\begin{array}{l}{=>\frac{90}{10}=x^{2}} \\\\ {=>x^{2}=9} \\\\ {=>x=\sqrt{9}=3}\end{array}

\begin{array}{l}{\text { Length of rectangle }=5 \times x=5 \times 3=15 \text { inches }} \\\\ {\text { Width of rectangle }=2 \times} x=2 \times} 3=6 \text { inches }}\end{array}

Hence length and width of rectangle is 15 inches and 6 inches.

4 0
4 years ago
If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment on the other hand if she has lunch
Stolb23 [73]

Answer:

165km

Step-by-step explanation:

If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment

Now:

Distance=Speed X Time

D=66 X t=66t.....(I)

If she leaves in 40 minutes,and she must get there at the same time, her new drive time will be:

t hours - 40 minutes

=(t-40/60)hours=( t-2/3) hours

Her Distance this time

D=90(t-2/3)=90t-60.....(ii)

Since the distance to Alton does not change, we equate (I) and (ii)

66t=90t-60

60=90t-66t

60=24t

t=2.5 hours

From equation (I)

Distance=66t=66X2.5=165km

Distance to Alton is 165km.

3 0
3 years ago
Fill in the blank. increasing the side length of a cube by a factor of 3 increases the volume by a factor of ___________.
german
We have that
scale factor=3

we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]

the answer is
 <span>the volume increases  by a factor of 27</span>
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3 years ago
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3 years ago
An employee earns $200 for 14 hours work. Assuming he is paid by the hour, how much will this employee earn in 35 hours?
bezimeni [28]
If an employee earns 200 dollars for 14 hours work, that means this person gets approximately 14 dollars and 29 cents per every hour.

Thus, in 35 hours, you can multiply 14.29 by 35 to get about 500 dollars.

In 35 hours, the employee will earn 500 dollars.
3 0
3 years ago
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