To solve a two-step inequality, you can follow these steps:
Isolate the variable on one side of the inequality by performing the same operation on both sides of the inequality.
If the inequality is a "greater than" or "less than" inequality, you will need to reverse the inequality if you multiply or divide by a negative number.
Solve the inequality by isolating the variable.
Check your solution by plugging it back into the inequality and making sure it is true.
Graph the solution in number line
Example:
x + 2 > 6
x > 4
(x+2) > 6
x > 4 (by isolating x)
It is important to remember that if we multiply or divide by a negative number, we have to reverse the inequality sign.
It is also important to remember that after solving the inequality, it is necessary to check the solution by substituting it back into the original inequality to make sure it works.
el area de un rectangulo es 84 cm cuadrados si la base mide 9 cm cuanto mide la altura y cual es su perimetro?
If 3x−y=12, what is the value of
8x
2y
Answer:
[tex]8x=32\\2y=-24[/tex]
Step-by-step explanation:
When solving for 1 variable, set the other to 0 and solve.
[tex]3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24[/tex]
Can anyone help me with this problem # 9
Answer:
72 apples will be used and 4 will not
Answer:
She will use 72 apples and 4 apples will not be used.
Step-by-step explanation:
If she requires 9 apples for one pie... the she can make only 8 pies out of 76 apples.
hence she uses 72 apples...
Write an recursive formula for an, the nth term of the sequence 7, 10, 13,
Answer:
What's the nth term for 7,10,13,16? The nth term = 3n + 4. The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d. Therefore in your sequence, the difference d = 3, and the first term a(1) = 7.
Step-by-step explanation:
Find the unknown side length x. Write your answer in simplest radical form
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40 → B
Can someone help me with number 3 please there is 3 answers!!
Answer:
m<J = 83
m<L = 97
m<M = 97
Step-by-step explanation:
The corners across (left to right/right to left) from each other of a trapezoid are always equal.
So, it would be like this:
Angle J is equal to angle K
Angle M is equal to angle L
See how they are across from each other?
Therefore, Angle J will be 83 degrees.
To find the other 2 angles subtract 83 from 180
180 - 83 = 97
So, Angle L and M are 97 degrees.
To check your answer you can add up all the corners and they should equal 360 degrees:
83 + 83 + 97 + 97 = 360
360 = 360
Hope this helps!!
- Kay :)
Here is a polygon. Use the scale factor of 1/2 determine the new side length for A *
Answer:
i need to see the polygon my guy
Step-by-step explanation:
Please help am stuck thanks
Answer:
12.4 did this before
Step-by-step explanation:
Answer:
sɪʀ ʏᴏᴜʀ ᴀɴsᴡᴇʀ ɪs 12.4
ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴍɪᴅ ᴘᴏɪɴᴛ ᴛʜᴇʀᴏᴇᴍ
Convert equation from slope intercept form to standard form y=-7/3x+1
Answer:
7x + 3y = 3
7x + 3y = 3
7x + 3y = 3
someone write down the answers please i need it!!
solve for x or find x
Answer:
63+ 2x- 17 = 180 degree
or, 2x+46=180degree
or, 2x=180-46=134degree
or, x = 134÷2=67 degree ans.
what is the percent of change from 85 to 64
Answer:
-24.71%
Step-by-step explanation:
PLEASE HELP IM BEING TIMED I WILL MARK BRAINLY
Which inference is reasonable based on the data in the scatter plot?
A If Person A goes to school for 16 years and Person B goes to school for 12 years, Person B can expect to make
more money than Person A.
* If Person B does not go to college and Person A goes to college, Person B will earn more money than Person A.
© If Person A goes to school twice as long as Person B, Person A can expect to make twice as much as Person B.
D
If Person B goes to college and Person A does not go to college, Person B is likely to earn more money than
Person A.
We don't have the scatter plot
4x - (-6) what’s the answer
Answer:
4x + 6
Step-by-step explanation:
If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!
Anits takes 8 hours to build 5 birdhouses. How many birdhouses could she Build in 24 hours?
what are the answers to the variables? and how do i find them?
Answer:
Step-by-step explanation:
Mr. Villa bought 91.25 inches of plastic
labeling tape. He will make labels 1.25 inches long
each. How many labels can he make?
1. What is asked in the problem?
A. the measurement of the tape
B. the labels can he make to the tape
C. inches of plastic labeling tape
D. Mr. Villas tape
2. What is the answer?
A. he can make 69 labels
B. he can make 70 labels
C. he can make 72 labels
D. he can make 73 labels
Answer:
1) B. the labels can he make to the tape
2) D. he can make 73 labels
Step-by-step explanation:
1) We are told that He will make labels 1.25 inches long each. We are asked the number of labels he can make.
Thus, correct answer is option B.
2) He wants to make labels 1.25 inches long out of 91.25 inches of plastic.
Thus, number of labels he can make = 91.25/1.25 = 73 labels
The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answer:
the answer will be x^3 + 2x^2 + 9x
Step-by-step explanation:
as :
volume = l* w* h
= X * (X + 2) * (X + 3)
= X ^ 2 + 2 X (X + 3)
= x ^2 (X + 3) + 2x (X + 3)
= x^3 + 3x +2x ^2 + 6x
= x^3 + 2x^2 + 9x
Do the following dogs appear to be SIMILAR? Please answer Yes or No and explain using math terminology!
Answer:
yes but no
Step-by-step explanation:
one is bigger than the other by prolly 1 foot
Answer:
1 is bigger by abt a foot or so
Step-by-step explanation:
pleaseee help me asap
1.What is the unit rate of the graph?
2.What is the slope of the graph?
Compare your answers to #1 and #2
Answer:
The unit rate[tex]\frac{4}{1}[/tex] of the graph is 4, the slope of the graph is 4, and the comparison between answers is that they are equal.
Step-by-step explanation:
For every increase of 1 in the X value of the graph, the Y value increases by 4, so the slope would be [tex]\frac{4}{1}[/tex] or 4.
someone plz help!!!!
Answer:
7/8 > 3/4
Step-by-step explanation:
Find a common denominator first and here it is 8. To get 3/4 to 8ths, you multiply the numerator and denominator by 2 to get 6/8 and 7/8 is greater
A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and the smallest share
Answer:
60000
Step-by-step explanation:
You should treat the first son with the 1 ratio as x. Because of this, the second son would be 3x and the third would be 6x. All of them need to equal 120000 so 10x=120000. Next you isolate the and x= 12000. Fill in 1200 for x and the first son gets 12000, the second gets 36000, and the third gets 72000. Lastly you subtract and you get 60000.
What is the value of y when the value of x is 1
Kailey is thinking of two numbers. The larger number is equal to twice the smaller increased by 12. Two times the smaller number plus three times the larger is equal to 100. Let x = smaller number and y = larger number. What is the first equation in the system? Do not put spaces in your answer.
Answer:
y=2x+12
Step-by-step explanation:
We first double the smaller number (2x) and then increased it by 12 (+12), this makes the larger number y.
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SİZE GÜVENİYORUM:)
What is an equation of the line that passes through the point (- 7, 0) and is parallel to the line x + y = 1
Answer:
y = -x - 7
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + y = 1.
First, let's put this into standard form.
x + y = 1
y = -x + 1
Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.
Plug this value (-1) into your standard point-slope equation of y = mx + b.
y = -x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.
0 = -1(-7) + b
To find b, multiply the slope and the input of x (-7)
0 = 7 + b
Now, subtract 7 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -x - 7
This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)
Hope this helps!
I need help ASAP !!
Find the length of a
Step-by-step explanation:
Please refer to the attachment
Find the surface area of the pyramid. The side lengths of the base are equal.
there are 3 sides and a bottom
the base is 12 and the height is 17
How many terms are in this expression?
s+3u+10=
factorise 49x²-y² class 8
Answer:
(7x-y)(7x+y)
Step-by-step explanation:
Answer:
(7x-y)×(7x+y)
Step-by-step explanation:
49x²-y²
7²x²-y²
(7x²)-y²
(7x-y)×(7x+y)