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astra-53 [7]
2 years ago
6

5x 2 +5x x 2 −1 ​ What is an equivalent expression in lowest terms?

Mathematics
1 answer:
arsen [322]2 years ago
5 0

Answer:

Step-by-step explanation:

Explanation:

Start by writing out your starting expression

x

2

−

5

x

2

+

5

x

−

14

−

x

+

3

x

+

7

Next, factor the denominator of the first fraction

x

2

+

5

x

−

14

x

2

+

7

x

−

2

x

−

14

x

(

x

−

2

)

+

7

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

Your expression is thus equivalent to

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

x

+

3

x

+

7

Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by  

x

−

2

x

−

2

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

(

x

+

3

)

⋅

(

x

−

2

)

(

x

−

2

)

⋅

(

x

+

7

)

This will get you

x

2

−

5

−

(

x

+

3

)

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

x

2

−

5

−

x

2

−

x

+

6

(

x

−

2

)

(

x

+

7

)

=

1

−

x

(

x

−

2

)

(

x

+

7

)

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Suzanna walked two over seven of a mile in two over five of an hour. What is her unit rate in miles per hour?
Kruka [31]

Two sevenths over two fifths = five over seven mile per hour

The unit rate is 5 over 7 miles per hour

<em><u>Solution:</u></em>

Given that, Suzanna walked two over seven of a mile in two over five of an hour

We have to find the unit rate in miles per hour

Unit rate means number of miles covered in 1 hour

From given information,

Two over seven of a mile in two over five of an hour

Which means,

\frac{2}{7} \text{ miles } = \frac{2}{5} \text{ hour }

\text{ So she covered } \frac{2}{7} \text{ miles in } \frac{2}{5} \text{ hour }

To find for number of miles covered in 1 hour, divide the \frac{2}{7} \text{ by } \frac{2}{5}

\text{Unit rate in miles per hour } = \frac{\frac{2}{7}}{\frac{2}{5}}\\\\\text{Unit rate in miles per hour } = \frac{2}{7} \times \frac{5}{2} = \frac{5}{7}

Two sevenths over two fifths = five over seven mile per hour

Thus unit rate is 5 over 7 miles per hour

3 0
3 years ago
900 students attend Ridge wood Junior High School. 25% of students bring their lunch to school everyday. How many students broug
Mila [183]

Answer:

225 students

Step-by-step explanation:

Total number of students = 900 students

percent that bring lunch to school everyday = 25%

Number of student that bring lunch to school = 25% of 900

Number of student that bring lunch to school = 0.25 * 900

Number of student that bring lunch to school = 225

Hence 225 students bring lunch to school everyday

5 0
3 years ago
Given that €1 =£0.72 a) how much is €410
alexira [117]

Answer: £569.40p

Step-by-step explanation:

410÷£0.72=£569.40p

3 0
4 years ago
Read 2 more answers
Fill in the blank with the correct rule
nlexa [21]

Based on the given original and dilated points, you can notice that the dilation is:

(x,y) => (1/3 x , 1/3 y)

This can be verified with any point of the figure, for example:

C(6,-3) => C'(1/3 (6) , 1/3 (-3)) = C'(2 , -1)

Hence, the answer is:

(1/3 x , 1/3 y)

8 0
1 year ago
Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the son
BigorU [14]

In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.

<h3>What are fractions?</h3>

That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).

When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).

We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top and bottom × bottom

4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.

= (4 × 3)/(5 × 4)

= 12 / 20

= 3 / 5

Therefore, the correct answer is 3/5.

To learn more about fractions refer to:

brainly.com/question/571030

#SPJ4

4 0
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