All categories

4 years ago

5 1/6 + (7 1/3)l <60

Mathematics

1 answer:

agasfer [191]4 years ago

7 0

Answer:

$l$

Step-by-step explanation:

Given the inequality

$5\dfrac{1}{6}+7\dfrac{1}{3}l$

First, convert mixed numbers to improper fractions:

$5\dfrac{1}{6}=\dfrac{5\cdot 6+1}{6}=\dfrac{31}{6}\\ \\7\dfrac{1}{3}=\dfrac{7\cdot 3+1}{3}=\dfrac{22}{3}$

Now the inequality looks like

$\dfrac{31}{6}+\dfrac{22}{3}l$

Multiply it by 6:

$\dfrac{31}{6}\cdot 6+\dfrac{22}{3}l\cdot 6$

You might be interested in

Need help on number 9

inysia [295]

You need to find what 11% of 4 2/5 is.

You can convert 4 2/5 to 4.4 and 11% to .11

Then just multiply them together
4.4 * .11 = your answer

7 0

4 years ago

Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the

Tamiku [17]

Given:

The inequality is

$-10+8x$

To find:

The missing step in solving the given inequality.

Solution:

Step 1: The given equation.

$-10+8x$

Step 2: Subtract 8x from both sides.

$-10+8x-8x$

$-10$

Step 3: Add 4 on both sides.

$-10+4$

$-6$

Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.

$\dfrac{-6}{-2}>\dfrac{-2x}{-2}$

$3>x$

Therefore, the missing step is $3>x$ .

8 0

3 years ago

Read 2 more answers

Find the complete factored form of the polynomial -8a^4b^5+4a^2b^4

Zigmanuir [339]

Answer:

The completely factored polynomial is:

⇒ $-4a^2b^4(2a^2b-1)$

Step-by-step explanation:

Given polynomial:

$-8a^4b^5+4a^2b^4$

To factor the given polynomial completely.

Solution:

In order to factor the given polynomial, we will find the greatest common factor of the terms and then factor them out by dividing the term by its G.C.F.

The factors can be listed as:

$-8a^4b^5=-1\times 2\times 2\times 2\times a\times a\times a\times a\times b\times b \times b\times b \times b$

$4a^2b^4=2\times 2\times a\times a\times b\times b \times b\times b$

From the factors listed the GCF can be given as = $2\times 2 \times a\times a \times b \times b\times b \times b$

GCF = $4a^2b^4$

Factoring out the GCF.

$4a^2b^4(-2a^2b+1)$

The above expression can be simplified by factoring out -1.

$-4a^2b^4(2a^2b-1)$ (Answer)

5 0

3 years ago

Read 2 more answers

Convert the following liquid measures.

Naddik [55]

Answer:

a) 40 pints b) 64 ounces c) 46.5 quarts d) 52 cups e) 23 tablespoons f) 7 gallons g) 108 teaspoons h) 384 fluid ounces

Step-by-step explanation:

a. 5 gallons to pints

1 pint = 0.125 gallons

x pint = 5 gallons

Cross multiply

0.125x = 5

x = 40 pints

b. 128 tablespoons to fluid ounces

1 ounce = 2 tablespoon

x ounce = 128 tablespoons

Cross multiply

2x = 128

x = 64 ounces

c. 93 pints to quarts

1 quart = 2 pint

x quart = 93 pints

Cross multiply

2x = 93

x = 46.5 quarts

d. 13 quarts to cups

1 cup = 0.25 quart

x cup = 13 quarts

Cross multiply

0.25x = 13

x = 52 cups

e. 69 teaspoons to tablespoons

1 tablespoon = 3 teaspoons

x tablespoons = 69 teaspoons

Cross multiply

3x = 69

x = 23 tablespoons

f. 112 cups to gallons

1 cup = 0.0625 gallons

112 cups = x gallons

Cross multiply

x = 112 x 0.0625

x = 7 gallons

g. 18 fluid ounces to teaspoons

1 teaspoon = 0.166667 ounces

x teaspoon = 18 fluid ounces

Cross multiply

0.166667x = 18

x = 108 teaspoons

h. 3 gallons to fluid ounces

1 gallon = 128 fluid ounces

3 gallons = x fluid ounces

Cross multiply

x = 128 x 3

x = 384 fluid ounces

5 0

3 years ago

Read 2 more answers

CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!

lana66690 [7]

The answers to the blanks are

1. 600,

2. 120,

3. 120,

4. 180.

Explanation:

The fence means perimeter around the court. So a tennis court's perimeter is 600 feet fence. The perimeter of a rectangle is 2 times the sum of the rectangle's length and the rectangle's width.
It is given that length equals 60 more than width i.e. l = w + 60, where l is the length of the court and w is the width of the court.
The perimeter of a court = 600 = 2 (l + w) = 2l + 2w = 2 (w +60) + 2w, this becomes, 2w + 120 + 2w = 600; 4w = 480, w = 120.
Since l = w + 60, l = 120 + 60 = 180. So length of a court is 180 feet and the width of a court is 120 feet.

6 0

3 years ago