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3 years ago

I really need this answer

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

A) -2 1/2 x

Step-by-step explanation:

= -6(3/12 x - 8/12 x + 10/12 x)

= -6(5/12 x)

= - 5/2 x

= - 2 1/2 x

HACTEHA [7]3 years ago

4 0

Answer:

A is the answer.

Step-by-step explanation:

What you do is you multiply -6 into each of the fractions and then add or minus the fractions together.

-6(1/4x)=-3/2x

-6(-2/3x)=4x

-6(5/6x)=-5x

-3/4x+4x-5x=-2.5 or A.

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tyler read 15 pages of a book. Ann read 9 pages of the same book. Did Tyler read 4 more pages than Ann? Explain

Slav-nsk [51]

No because fifteen minus nine is six, so Tyler read six more pages than Ann.

5 0

3 years ago

Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 62

mario62 [17]

Answer:481

Step-by-step explanation:

35% of 740

35/100 × 740 = 259

35% less than = 740 - 259

=481

Therefore 481 gallons was served this year.

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2 years ago

A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

Solution:

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

The formula for rectangle is given as:

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

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3 years ago