Answers
Answer:
The inequality describes all possible value of x is 14 < x < 32 ⇒ D
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesIn the given figure
∵ ABC is a triangle
∵ AC = 9 and BC = 21
∵ AB is the third side of the triangle
→ By using the rules above
∴ BC - AC < AB < BC + AC
∵ AB = x - 2
→ Substitute their values in the inequality above
∵ 21 - 9 < x - 2 < 21 + 9
∴ 12 < x - 2 < 30
→ Add 2 to the 3 terms
∴ 12 + 2 < x - 2 + 2 < 30 + 2
∴ 14 < x < 32
∴ The inequality describes all possible value of x is 14 < x < 32
Related Questions
How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?
Answers
Answer:
Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.
Step-by-step explanation:
A 6-сm long toy car is 4% of the length of the official scale model of the Batmobile. How long is the official scale model? Show your work (you may use a linear model if you'd like)
Answers
Answer:
[tex]150\:\mathrm{cm}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] represent the length of the official scale model. We can set up the following proportion:
[tex]x\cdot 0.04=6[/tex].
Solving, we get:
[tex]x=\frac{6}{0.04}=\fbox{$150\:\mathrm{cm}$}[/tex].
find each unit price to decide which is the best buy
Answers
Answer:
do you have more info so I can help
Divide £320 in the ratio 3:5
Answers
Answer:
£120 : £200
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part
£320 ÷ 8 = £40 , then
3 parts = 3 × £40 = £120
5 parts = 5 × £40 = £200
Then £320 in the ratio 3 : 5 is £120 : £200
The division of £320 in the ratio of 3: 5 is £120: £200.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the amount of £320
Now,
The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.
So,
320/8 = 40
Now,
Multiply by 3 ⇒ 3 × 40 = 120
Multiply by 5 ⇒ 5 × 40 = 200
So ratio 120/200 = £120: £200.
Hence "The division of £320 in the ratio of 3: 5 is £120: £200".
To learn more about the arithmetic operators,
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Which of the following points does not lie on the graph of y = 1/2x+3?
1) (10,8)
2) (0,3)
3) (-2,2)
4) (-6,-3)
Answers
Answer:
number 1 doesn't lie on the graph
Step-by-step explanation:
and I don't really have an explanation
(:
can you solve for x and y pls hurry ...
Answers
Answer:
x=50 y=25
Step-by-step explanation:
brainliest pls
This is something I have been trying forever !!!
Answers
Answer:45 degrees
Step-by-step explanation: The opposite angles theorem
Answer:
45
.................. . ...
The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.
A.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27
B.
n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27
C.
n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14
D.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15
Answers
Answer:
D. n+n+2+n+4+6= -72; n= -21; n+2= -19; n+4= -17; n+6= -15
There are 2 below and 2 above it.
-15, -17, -19, -21
Step-by-step explanation:
the sum of four consecutive odd integers is -72. write an equation to model this situation, and find the values of the four integers .
n + n+2 + n+4 + n+6 = -72
4n + 12 = -72
or
-72/4 = -18, the center
Consider the expressions given below. For each expression below, select the letter that corresponds to the equivalent expression from that given list.
Answers
Answer:
(4x³ - 4 + 7x) - (2x³ - x - 8) ----> B.
(-3x² + x⁴ + x) + (2x⁴ - 7 + 4x) ----> D.
(x² - 2x)(2x + 3) ----> A.
Step-by-step explanation:
.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answers
Answer:
its
Step-by-step explanation:
i cant explane
Please Help Me T_T
I really need help I don't understand this
Answers
Answer:
coordinates of point f are 2,1 coordinates of point g are 5,6
Step-by-step explanation:
Jacy paid $15.48 to download 12 songs last month. She paid the same amount for each song and also had to spend $5.04 to enroll in the music purchasing program.
Part A
Let s represent the amount that Jacy paid for each song she downloaded.
Which equation could you use to find the value of s?
12s = 15.48
15.48 + s = 12 + 5.04
12 + s = 15.48 + 5.04
12s + 5.04 = 15.48
Answers
Hope this helps!
Have a nice day :)
The solution is, 12s + 5.04 = 15.48, is the equation which could you use to find the value of s.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
Jacy paid $15.48 to download 12 songs last month.
She paid the same amount for each song and also had to spend $5.04 to enroll in the music purchasing program.
now, we have,
Let s represent the amount that Jacy paid for each song she downloaded.
so, we get,
She paid the same amount for each song and also had to spend $5.04 to enroll in the music purchasing program.
i.e. 12s + 5.04
and, Jacy paid $15.48
i.e. the equation which could you use to find the value of s is,
12s + 5.04 = 15.48
Hence, The solution is, 12s + 5.04 = 15.48, is the equation which could you use to find the value of s.
To learn more on equation click:
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75 points! Will mark brainliest! Only answer if you know it! Random answers will be reports because I’m trying to get the true real answer :)
Answers
Answer:
y=1/2x
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to y=1/2x−8
I know this isn't much but please don't report me. I got this answer ):
Answer:
y = [tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
Since lines that are parallel to each other must have the same gradient,
m = [tex]\frac{1}{2}[/tex]
Between afternoon and evening, the temperature dropped by 8 degrees. The weather forecast predicted that the evening temperature would be lower than -12 degrees F.
Write an inequality for this situation where t represents the temperature. *
Answers
Answer: t-8 < -12
Step-by-step explanation:
Point M is on line segment LN. Given MN = 3x, LN = 4x + 9, and
LM 2x + 7, determine the numerical length of LM.
Answers
Answer:
LM = 11 units
Step-by-step explanation:
Given M is on LN , then
LM + MN = LN , substitute values
2x + 7 + 3x = 4x + 9
5x + 7 = 4x + 9 ( subtract 4x from both sides )
x + 7 = 9 ( subtract 7 from both sides )
x = 2
Thus
LM = 2x + 7 = 2(2) + 7 = 4 + 7 = 11
Someone please help me with thiss
Answers
Answer:
The total trip will be 4 hours long.
Step-by-step explanation:
The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.
Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned. a. How many peanut butter cookies does Fred have left to sell?
Answers
Answer: 12 peanut butter cookies
Step-by-step explanation:
Fred had made 10 dozen cookies which means he made:
= 10 * 12
= 120 cookies
Out of those, 1/4 were peanut butter:
= 120 * 1/4
= 30 peanut butter cookies
He burned 3/5 of the peanut butter cookies:
= 30 * 3/5
= 18 cookies were burnt
The amount let is therefore:
= 30 - 18
= 12 peanut butter cookies
Jayden drew a scale drawing of an arcade. He used the scale 1 inch = 3 feet. If an air hockey table is 3 inches long in the drawing, how long is the actual air hockey table?
Answers
Answer:
9 Feet
Step-by-step explanation:
Lets start with a ratio:
1:3
Now lets look at the other ratio:
3:?
If the 1 turned into a three in the second ratio, then what will the 3 in the first ratio turn into?
9!
Because 1x=3 should be equivalent to 3x=9
Lets check our work:
x=3
3x=9
Simplify by dividing by 3 on both sides:
x=3
x=3
It worked!
The answer is 9 feet. If the air hockey table is 3 inches long and 1 inch = 3 feet, 3 x 3 = 9.
PLEASE
What is the solution to the equation 4 ( b − 2 ) − 10 = 2b + 6 ?
Answers
Step by step explanation:
First simplify both sides of the equation
( 4 )( b ) + ( 4 ) ( - 2 ) + -10 = 2b + 6 (distribute)
4b + -8 + -10 = 2b + 6
(4b) + (-8 + -10 ) = 2b + 6 (combine like terms)
4b + -18 = 2b + 6
4b - 18 = 2b + 6
Then subtract 2b from both sides
4b - 18 - 2b = 2b + 6 - 2b
2b - 18 = 6
After that you add 18 to both sides
2b - 18 + 18 = 6 + 18
2b = 24
2b/2 = 24/2
b = 12
What expression -5+(-5r)+10
Answers
The y-intercept of the line whose equation is x - y = 7 is
7
1
-7
Answers
Answer:
-7
Step-by-step explanation:
x-y=7
-y=-x+7
y=x-7
hope it helps
Can you help meh answer for brianliest
Answers
Answer:
1st One- 1 13/30
2nd One- 1 13/20
3rd One- 1/6
Step-by-step explanation:
Because yes
Answer:
1 13/30 1 13/20 1/6
Step-by-step explanation:
because i am smart
Write the equation for the line with the given points (0,-3) and (2,9) in point slope form
Answers
First of all, we will solve for our M which is our slope.
M = Yb - Ya / Xb - Xa
M = 9 - (-3) / 2 - 0
M = 9 + 3 / 2 - 0
M = 12 / 2
M = 6
Now that we have our slope, we will be finding our y-intercept.
Y = mx + b
9 = (6)(2) + b
9 = 12 + b
= 9-12 = 12-12 + b (12 cancels out)
= -3 = b
So, therefore, the equation is: Y = 6x - 3
The graph of 3x − 2y = -1 is shown on the grid.
Answers
Answer:
slope: 3/2, y-intercept: (0,1/2)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
solve for x. round to the nearest tenth
Answers
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Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain
Answers
Answer: This is not a function
======================================================
Explanation:
If x = 1, then,
x = |y|
1 = |y|
|y| = 1
y = plus/minus 1
y = 1 or y = -1
The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.
Similar situations occur with x = 2 and x = 3.
This means we do not have a function. A function can only be possible if each input leads to exactly one output.
42 slices from 3 cakes = 84 slices from____ cakes
Answers
6 Cakes man 6 cakes 42*2 3*2
Answer:
42 slices from 3 cakes = 84 slices from 6 cakesStep-by-step explanation:
Let the unknown value be x
[tex]42 = 3\\84 =x\\\\[/tex]
Cross Multiply
[tex]42\times x = 84\times 3\\\\42x = 252[/tex]
Divide both sides of the equation by 42
[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]
Write the equation of the line that passes through the point (1,4) and is parallel to y=5
Answers
Answer:
The equation of the desired line is thus y = 4
Step-by-step explanation:
A line parallel to y = 5 is a horizontal line. The x-coordinate of every point on this line can take on any x-value; the y-coordinate is always 5.
The line that passes through the point (1, 4) has the constant y-coordinate 4, whereas x can take on any value.
The equation of the desired line is thus y = 4; this line passes through (1, 4) as required and is parallel to y = 5.
Solve the area formula for a circle, A = πr2, for r2.
r2 = Aπ
r2 = A – π
Answers
Answer:
The solution of r² is r² = [tex]\frac{A}{\pi }[/tex]
Step-by-step explanation:
To solve an equation for one of its variables, do that
Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)Let us solve the question
∵ The formula of the area of the circle is A = π r²
∵ The subject is r² ⇒ The variable which we need to solve for it
→ By using the 1st step up divide both sides by π to move it from the right
side to the left side
∵ [tex]\frac{A}{\pi }[/tex] = [tex]\frac{\pi r^{2}}{\pi }[/tex]
∴ [tex]\frac{A}{\pi }[/tex] = r²
→ Switch the two sides
∴ r² = [tex]\frac{A}{\pi }[/tex]
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
2•(7) -7
14-7
7
The answer is 7!