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Fittoniya [83]
3 years ago
9

Which is a correct first step in solving 5 - 2x < 8x- 3?

Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

5 < 10x - 3

Step-by-step explanation:

Given:

The given inequality is:

5 - 2x < 8x- 3

The given inequality has variable 'x' on both sides of the inequality.

In order to solve such inequalities, we bring the variables on the same side as the first step in solving for 'x'.

Therefore, we could either add 2x on both sides or add -8x both sides to bring the variable terms on same side.

If we add 2x both sides, we get:

5 - 2x +2x< 8x+2x - 3\\5

So, among all the given options, third option matches the above inequality.

Therefore, the first step in solving the given inequality is 5 < 10x - 3

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A motel rents double rooms at $34 per day and single rooms at $26 per day. If 26 rooms were rented one day for a total of $804,
lubasha [3.4K]

Answer: 16 double rooms and 10 single rooms were rented.

Step-by-step explanation:

Let x represent the number of double rooms that were rented.

Let y represent the number of single rooms that were rented.

The total number of rooms rented in a day is 26. It means that

x + y = 26

A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that

34x + 26y = 804 - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

34(26 - y) + 26y = 804

884 - 34y + 26y = 804

- 34y + 26y = 804 - 884

- 8y = - 80

y = - 80/ - 8 = 10

x = 26 - y = 26 - 10

x = 16

5 0
3 years ago
Work out the surface area of the solid cuboid<br> H=2cm<br> W=4cm<br> L=5cm
Nitella [24]

Answer:

total surface area = 76 sq.cm

Step-by-step explanation:

total surface area of cuboid = 2 ( lb + lh + bh )

( where l is length , b is width and h is height )

so, surface area :

= 2[ (5×4) + (5×2) + (2×4) ]

= 2 [ 20 + 10 + 8 ]

= 2 × 38

= 76 sq.cm

6 0
3 years ago
YOU GUYS ARE MEAN! AND AREN’T HELPING ME AND IM WILLING TO GIVE 40POINTS! LOOK AT THE PICTURE ATTACHED!
fomenos

Answer:

x = 5

Step-by-step explanation:

{2}^{2x - 3}   + 52 = 180

{2}^{2x - 3 }  = 128

{2}^{2x - 3}  =  {2}^{7}

2x - 3 = 7

2x = 10

x = 5

6 0
2 years ago
I need help. tomorrow i have my state test.
iren [92.7K]

just count how many there and and eliminate one by one

6 0
3 years ago
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day. According to a
Degger [83]

Answer:

The equation that models this scenario b(x)=(3+0.5x)(38-4x)

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent =\frac{1}{100} dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,

b(x)=(3+0.5x)(38-4x)

8 0
3 years ago
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