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polet [3.4K]
2 years ago
12

Solve the compound inequality for x and identify the graph of its solution.

Mathematics
1 answer:
ladessa [460]2 years ago
8 0

Answer:

x<-4 or x≤4

Step-by-step explanation:

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Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 f
arsen [322]

Answer:

1. Area of rectangular rug is 110 ft^{2}

2. Area of triangular room is 330ft^{2}

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

Area=Length * Width

substituting our given data we have

Area= 11*10\\Area= 110 ft^{2}

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

Area= \frac{1}{2} *base* height\\

substituting our given data we have

Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}

8 0
3 years ago
What is the solution to this system of equations? {5x+4y=22 3x+4y=10
zlopas [31]
Multiply 2nd equqation by -1 and add to first

5x+4y=22
<u>-3x-4y=-10 +</u>
2x+0y=12

2x=12
divide by 2
x=6

sub back


3x+4y=10
3(6)+4y=10
18+4y=10
minus 18 both sides
4y=-8
divide by 4
y=-2

(x,y)
(6,-2) is solution
6 0
3 years ago
Read 2 more answers
Q. 3. On a recent math test, Aubrey was asked to find the LCD of and and then to write equivalent fractions using this LCD. Aubr
Darina [25.2K]

The Lowest Common Denominator of 3 and 4 is the denominator that will

simplify mathematical operations such as addition of the fractions.

  • The mistake is the LCD of 3 and 4 is 12 rather than 24

Reasons:

The given fractions are;

\displaystyle \frac{1}{3}  \ and \ \mathbf{\frac{2}{4}}

The Lowest Common Denominator, is given by the Least Common Multiple of the denominators, which is 3 × 4 = 12

Therefore;

The LCD = 12

The equivalent fractions are therefore;

\displaystyle \frac{1}{3 } = \frac{4 \times 1}{4 \times 3} = \mathbf{\frac{4}{12}}

\displaystyle \frac{2}{4} =\frac{3 \times 2}{3 \times 4} = \mathbf{ \frac{6}{12}}

\displaystyle The \ equivalent \ fractions \ are \  \frac{4}{12} \ and \ \frac{6}{12}

Therefore, the mistake is using a LCD of 24 rather than 12, given that 12 is lower than 24 and therefore is the LCD of 3 and 4.

By having an LCD of 12, we have;

The equivalent fractions with the LCD will be; \displaystyle  \frac{4}{12} \ and \ \frac{6}{12}

Learn more about Lowest  Common Denominator, LCD here:

brainly.com/question/255303

5 0
3 years ago
A student use the sieve of Eratosthenes to find all prime numbers less than 100 create a step by step set of directions to show
nydimaria [60]
How come back home from walmart and it's called I have
5 0
4 years ago
What is the value of the expression 45 – 24 ÷ 8 + 4(7)
Mice21 [21]

Answer:4

Step-by-step explanation:

3 0
4 years ago
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