Solve this X/-6<12 .

Answer:

22cm by 6cm

Step-by-step explanation:

Width = x

Length = 3x + 4

x + x + 3x + 3x + 4 + 4 = 8x + 8

Perimeter = (8x + 8) cm

56 - 8 = 48cm

48/8 = 6

6 = x

Width = 6cm

Length = 22cm

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The required possible dimensions are the length of a rectangle is 22 cm and the width is 6 cm.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

Let the width of the rectangle is x

So the length of the rectangle= 3x + 4

The perimeter of a rectangle = x + x + 3x + 3x + 4 + 4

The perimeter of a rectangle = 8x + 8

The perimeter of a rectangle = (8x + 8) cm

56 - 8 = 48cm

48/8 = 6

6 = x

So the width of the rectangle = 6 cm

So the length of the rectangle = 22cm

Thus, the required possible dimensions are the length of a rectangle is 22 cm and the width is 6 cm.

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Answer:179 /20

(Decimal: 8.95)

Step-by-step explanation:

2+3+4− 5 /100

=5+4− 5 /100

=9− 5 /100

=9− 1 /20

= 179 /20

Answer:

.6 or 3/5

Step-by-step explanation:

x = 3/5

Hi there !

4 - 2(x - 7) = 3(x + 5)

removing parentheses

(-)(-) = +

4 - 2x + 14 = 3x + 15

isolate the variable terms

4 + 14 - 15 = 3x + 2x

solve

3 = 5x

x = 3/5

Good luck !

Answer:

8/15 in fraction form

0.53 repeating in decimal form

Step-by-step explanation:

1/3 divided by 5/8 =

1/3 *8/5 =

1*8 over 3*5 = 8/15

Answer:  8/15

0.5333 continued

Step-by-step explanation:

1/3=0.333 continued

5/8=0.625

0.333 continued/0.625=0.5333 continued

or 0.5333 continued

Answer: −2 1/8

Step-by-step explanation:

−45/8+3 1/2

=−45/8+3 1/2

=−45/8+7/2

=−17/8

=−2 1/8

Answer:

The correct answer is B

x=4

Given problem;

   Inequality equation;

               [tex]\frac{x}{16}[/tex]   <   6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

      16  x ([tex]\frac{x}{16}[/tex])   <  6 x 16

 On the left hand side, 16 will cancel out;

                   x <  96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

                       [tex]\frac{95}{16}[/tex]  = 5.93

This value is less than 6

Answer:

6x+5

Step-by-step explanation:

2x+4x =6x

10-5=5

6x+5

Answer:

x=3102.5/8.5 is your answer

Step-by-step explanation:

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

If you would like me to explain let me know in the comments.

Answer:

B. 13.5 in^2

Step-by-step explanation:

Use the formula [tex]\frac{a+b}{2} h[/tex].

Step 1- Substitute into the formula.

[tex]\frac{a+b}{2} h[/tex]  =  [tex]\frac{4+5}{2} 3[/tex]

Step 2- Add to simplify

[tex]\frac{4+5}{2} 3[/tex] = [tex]\frac{9}{2}3[/tex]

Step 3- Divide

9/2= 4.5

Step 4- Multiply

4.5× 3= 13.5

B. 13.5 in^2

Answer:

5/2 hope this helps

Step-by-step explanation:

took it on apex :)

Answer:

X > 21000

Step-by-step explanation:

Given the following :

Payment plans :

PLAN A:

salary = $1000 per month

Commision = 10% of sales

PLAN B:

salary = $1300 per month

Commision = 15% of sales in excess of $9,000

Hence, for plan B; 15% is paid after deducting $9000 from total sales

For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?

That is ;

Plan B > plan A

Let total sales = x

Plan A:

$1,000 + 0.1x

Plan B:

$1,300 + 0.15(x - 9000)

1300 + 0.15(x - 9000) > 1000 + 0.1x

1300 + 0.15x - 1350 > 1000 + 0.1x

0.15x - 50 > 1000 + 0.1x

0.15x - 0.1x > 1000 + 50

0.05x > 1050

x > 1050/0.05

x > 21000

Answer:

a is 18    b is -90     c is 31      for the opposite

a is -18   b is 90      c is -31     for the opposite of the opposite

If the number is, say, N, then “10 less than twice the number” is 2N - 10.

Pretty simple. take the number given, multiply it by 2, then subtract 10 from the answer.

If N is 7, then “10 less than twice the number” is 2*7 - 10 = 14 - 10 = 4.

Answer:

t= 3 sec

Step-by-step explanation:

v= 25 m/s

d= 75 m

t= ?

d=v t

75= 25 t

t= 3

See my other articles for quiz and assignment in my site.

Just copy and paste "learningandassignments diy4pro" to google search engine.

Hope it helps.

Answer:

Reflexive property of equality and Definition of congruence

Step-by-step explanation:

The reflexive property states x=x, so PQ=PQ. By the definition of congruence if PQ=PQ then PQ=PQ must also be true.

Answer:

The water level drops each hour by 0.1472 inches/hour.

Step-by-step explanation:

We are given that Between 9 AM and 6:10 AM the water level in a swimming pool decreased by 5/12 inches assuming that the water level decreased at a constant rate.

Firstly, we will find the number of hours between 6:10 AM and 9 AM, that is;

Number of hours = From 6:10 AM and 9 AM, there are 2 hours and 50 minutes

So, Number of hours = [tex]2 + \frac{50}{60}[/tex] = 2.833 hours

Also, the water level in a swimming pool decreased by = [tex]\frac{5}{12}[/tex] = 0.417 inches

Now, to find how much did the water level drop each hour, we will divide the amount of water level in a swimming pool decreased by the time interval given, that is;

= [tex]\frac{0.417}{2.833}[/tex]

= 0.1472 inches/hour.

This means that the water level drops each hour by 0.1472 inches/hour.

Answer:

The answer is

Step-by-step explanation:

[tex]28 > 4 – 2p[/tex]

Subtract 4 from both sides of the equation

That's

[tex]28 - 4 > 4 - 4 - 2p \\ 24 > - 2p[/tex]

Divide both sides by - 2

[tex] \frac{24}{ - 2} > \frac{ - 2p}{ - 2} \\ p < - 12[/tex]

Since the denominator was negative the sign will change

We have the final answer as

Hope this helps you

Answer:

A

Step-by-step explanation:

Write the times for each hour from start time:

10:25 am

11:25 am

12:25 pm

1:25 pm

2:25 pm

3:25 pm

4:25 pm

5:25 pm

6:25 pm

There are 8 hours between 10:25 am and 6:25 pm.

they finished at 6:15 which is 10 minutes before 6:25 ( 25-15 = 10)

10 minutes less than a full hour is 50 minutes ( 60 - 10 = 50)

8 hours - 1 hour = 7 hours

7 hours + 50 minutes = 7 hours 50 minutes total time.

Answer:

seven hours and 50 minutes

Step-by-step explanation:

Answer:

14 blocks

Step-by-step explanation:

110g of cheese per 62 people amounts to 6820g of cheese. so we divide that by the 500g blocks to get 13.64 and round up to 14.

Answer:

since 4 is 132,then 8 is also 132( corresponding angle)

so,8+7=180( adjacent angle)

so,132+7=180

7=180-132

7=48

Answer:

B

Step-by-step explanation:

I did the quiz on Edg

Answer:

41

Step-by-step explanation:

You're going to make x = 9. you're equation is h(9) = 4(9) + 5. This will give you your answer of 41.

Answer:

seriously, what's it called?

B. The correct answer is b.  I just took it

Answer:

B.

Step-by-step explanation:

Answer:

Basically, all the wide (obtuse) angles are 112. the smaller(acute) ones are 52.

Step-by-step explanation:

Reasoning: 180-52=128.  After that, just lots of reflection across angles.

From the figure, the measures of all the angles are:

A = 128

B = 52

C = 52

D = 52

E =  128

F = 52

G = 128

H = 52

I = 128

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Vertical angles are angles that are opposite of each other when two lines cross.

We have,

A pair of vertically opposite angles are always equal to each other.

Corresponding angles are equal.

Alternate angles are equal.

B and C are vertically opposite angles.

So,

C = 52

B = 52

We know that from the figure,

1 + B = 180

1  + 52 = 180

1 = 180 - 52 = 128

1 and A are alternate angles so,

A = 128

Now,

D and C are corresponding angles.

D = C = 52

D + E = 180

E = 180 - D

E = 180 - 52

E = 128

E and I are interior alternate angles.

E = I = 128

I and G are vertical angles.

I = G = 128

F + I = 180

F = 180 - 128 = 52

F and H are vertical angles.

F = H = 52

Thus,

From the figure, the measures of the angles are:

A = 128

B = 52

C = 52

D = 52

E =  128

F = 52

G = 128

H = 52

I = 128

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Answer:

$3.7625

Step-by-step explanation: I may be wrong but...

If you find 75% of $2.15 it is equal to $1.6125.

Since in "increases" we are going to add $1.6125 to $2.15.

You get the answer of $3.7625.

Answer:

7 meters

Step-by-step explanation:

Notice that the figure has already been labeled. The variable x is used to represent the unknown width of the path

It is given that the area of the pool and the path combined is  1144 square meters.

Notice that the length of the combined area is 30 +2x and the width of the combined area is 12+2x

Recall that the formula for the area of a rectangle is A = L* W

Use the figure and the information given to write an equation for the area of the pool and path combined.

(12+2x)(30+2x) = 1144

Thus, solve the equation (12+2x)(30+2x) = 1144. The solutions to this equation are the values of x that satisfy the condition given in the problem.

Begin by rewriting the equation in the standard form

ax^2 + bx + c=0 First, multiply the binomials on the left side of the equation using the FOIL method.

(12+2x)(30+2x) = 1144

4x^2 + 84x +360 = 1144

Then move all terms to the left side of the​ equation, obtaining zero on the right side.

4x^2 + 84x +360 = 1144

4x^2 + 84x -784 = 0

Now that the quadratic equation is in standard​ form, factor the quadratic completely.​ First, factor out the greatest common factor​ (GCF). Then factor the trinomial.

4x^2 + 84x -784 = 0

4(x^2 + 21x -196 = 0

4(x - 7) (x + 18) = 0

​Next, apply the​ zero-product principle and set each factor equal to 0. Solve each equation for x.

x - 7 = 0        or      x + 28 = 0

x = 7             or      x = -28

Remember that x represents the width of the path.​ Therefore, the proposed solution -28  does not make sense. The width of a path cannot be negative. Eliminate this proposed solution.

Check the solution -28 by substituting it into the original​ equation, (12+2x)(30+2x) = 1144 ​, and verifying that a true statement results.

The solution checks.​ Therefore, the width of the path is  7 meters.