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3 years ago

What do you have to add to -2 1/2 to have a result of 2 1/2

Mathematics

1 answer:

Andre45 [30]3 years ago

7 0

Answer:

The number to add is 5

Step-by-step explanation:

Let

x ----> the number to add

we have that

$-2\frac{1}{2} +x=2\frac{1}{2}$

Convert mixed number to an improper fraction

$2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$

substitute

$-\frac{5}{2} +x=\frac{5}{2}$

Solve for x

Adds 5/2 both sides

$x=\frac{5}{2}+\frac{5}{2}$

$x=\frac{10}{2}$

$x=5$

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A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th

My name is Ann [436]

Answer:

C. $x\geq 55000$

Step-by-step explanation:

Let x be the total monthly sales.

We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.

This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:

$700+(\frac{2}{100})x\geq 1800$

$700+0.02x\geq 1800$

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

$700-700+0.02x\geq 1800-700$

$0.02x\geq 1100$

Divide both sides of inequality by 0.02.

$\frac{0.02x}{0.02}\geq \frac{1100}{0.02}$

$x\geq \frac{1100}{0.02}$

$x\geq 55000$

Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.

5 0

3 years ago

I NEED HELP WITH THIS ASAP PLEASE!

sdas [7]

(x+1)(x+2)
this is what i got hope it helps

5 0

3 years ago

The interior angle of a regular polygon is five times its corresponding exterior angle. Find the

tiny-mole [99]

Answer:

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the interior angles of polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each interior angles of the polygon = (2n-4)*90/n (A)

Sum of all the exterior angles of any polygon = 360.

value of each exterior angles of the polygon = 360/n (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the number of sides of the polygon is 12

6 0

3 years ago

One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has

Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = $2x-6$

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

$108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0$

Now we will find the roots of x by factorizing the equation we get;

$x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0$

Now we will solve for 2 values of x we get;

$x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft$

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = $2x-6=2\times12-6 =24-6 =18\ ft$

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0

4 years ago

A garden table and a bench cost $689 combined. The garden table costs $39 more than the bench. What is the cost of the bench?

Wittaler [7]

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3 years ago