All categories

2 years ago

Solve the inequality for x. 17 < x - 10 Simplify your answer as much as possible.

Mathematics

2 answers:

Sonbull [250]2 years ago

8 0

Step-by-step explanation:

x = 27

Can i have brainly please

natali 33 [55]2 years ago

3 0

Answer:

27<x

Step-by-step explanation:

you would add 10 to both sides to isolate the x

You might be interested in

A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all

rodikova [14]

Answer:

3 feet

Step-by-step explanation:

Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...

A = (20 +2x)(50 +2x) = 1000 +140x +4x^2

The area of the pool alone is

A = (20)(50) = 1000

So, the area of the deck is the difference:

456 = (4x^2 +140x +1000) -(1000)

Dividing by 4 and subtracting 114, we have ...

x^2 +35x -114 = 0

(x -3)(x +38) = 0

Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.

The deck is 3 feet wide.

4 0

2 years ago

Which equation represents a line which is perpendicular to the line 2x + y = -5?

Gnesinka [82]

Step-by-step explanation:

Given expression;

2x + y = -5;

The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

2x + y = -5

Equation of a straight line is generally written as;

y = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

2x + y = -5

y = -2x -5

The slope of the perpendicular = $\frac{1}{2}$

So,

the new line;

y = $\frac{1}{2}$ x -5

Any line with slope of $\frac{1}{2}$ will be perpendicular

7 0

2 years ago

Use the following information for questions 1 through 6. The dietitian at a camp is planning breakfast for the first day of camp

Dima020 [189]

Answer:

Let x and y be the pieces of toast and sausage required.

Then the objective function is

Min Z=0.04x+0.08y

Constraints:

Vitamin A, 2x+4y≥20

Vitamin B, 3x+1.5y≥15

Iron, 2x+2y≥16

Sausage, y≤4

The non-negative constraints are x≥0, y≥0

Thus, the linear programming model is

Min Z=0.04x+0.08y

Subject to,

2x+4y≥20

3x+1.5y≥15

2x+2y≥16

y≤4

x≥0, y≥0

1) There are two variables in the LP model. So, option (B) is correct.

2) The LP model contains four constraints (excluding the non negative constraints). So, option (D) is correct.

3) Solving the LP model using a software, we get the solution as

z=0.4, at x=6 and y=2

So, The cost of the breakfast is $ 0.4. Option (B) is correct.

4) The breakfast should contains 6 toasts.

5) The amount of Vitamin B in the breakfast = 3(6)+1.5(2)=18+3=21 milligrams. So, option (C) is correct.

6) The amount of Iron in the breakfast= 2(6)+2(2)=12+4=16 milligrams. So, option (B) is correct.

Step-by-step explanation:

4 0

3 years ago

The length of the hypotenuse of a right triangle is 13 m. the length of one leg is 5 cm. find the length of the other leg

eimsori [14]

A^2 + B^2=C^2 so there for the hypotenuse (13^2) - (5^2) will give you the last side

7 0

2 years ago

How can I make these a single fraction?

Serga [27]

in the like term you can add directly and make it single fraction and in unlike term you have to take LCM of denominator .

6 0

2 years ago