All categories

3 years ago

12x+7<−11 AND5x−8≥4012

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

8 0

Answer:

No solution

Step-by-step explanation:

Given: $12x+7$ and $5x-8\geq 40$

Solve both inequality separately.

$12x+7$ Subtraction property of inequality

$12x$

$x$

and

$5x-8\geq 40$ Addition property of inequality

$5x\geq 40+8$

$5x\geq 48$

$x\geq \dfrac{48}{5}$

Hence, the solution of the compound inequality intersection of both solutions.

Please find attachment for number line solution.

No solution

Law Incorporation [45]3 years ago

6 0

Answer:

No Solution

Step-by-step explanation:

You might be interested in

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10

kipiarov [429]

step 1

find the coordinates of the factory

the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)

coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport

let

A coordinates of warehouse-------> A( 39,-52)

B coordinates of airport---------> B(-39,52)

C coordinates of factory-------> C(39,52)

distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3

find the distance airport to factory

B(-39,52)

C(39,52)

distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

the total number of miles=distance AB+distance BC---> 130+39

the total number of miles=169 miles

<em>Thus</em> the answer is 169

4 0

3 years ago

Read 2 more answers

15000(0.068÷12)(1+0.068÷12)^12×4(1+0.068÷12)^12×4 -1

zhuklara [117]

Answer: 1556.52935024

Step-by-step explanation: Pemdas

According to Khan Academy, "The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)."

7 0

2 years ago

An aquarium tank holds 475 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.

Mrrafil [7]

$\bf \begin{array}{ccll}
liters&gallons\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
3.8&1\\
475&g
\end{array}\implies \cfrac{3.8}{475}=\cfrac{1}{g}\implies g=\cfrac{475\cdot 1}{3.8}$

3 0

3 years ago

What is the perimeter of the figure in the diagram (round to three decimal places if necessary)? A) 54.5 B) 42.634 C) 39.5 D) 27

beks73 [17]

Answer:

Step-by-step explanation:

First add all the simple line up so;

$8 + 7 + 3 + 2 = 20$

Then use Pythagoras to work out the lengths of the remaining lines

$\sqrt{ {2}^{2} + {4}^{2} } = 2 \sqrt{5} \\ \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ 20 + \sqrt{10} + 2 \sqrt{5} = 27.63441362$

So to three decimal places it would be;

$27.634$

7 0

3 years ago

Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter

nalin [4]

<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17

To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.

Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)

Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17

Again, the dimensions should be a square. 17 X 17.</span>

4 0

3 years ago