Answer:
[tex]2x + 5 < 19 \\ 2x < 19 - 5 \\ 2x < 14 \\ x < 7[/tex]
Answer:
The result can be shown in multiple forms.
Inequality Form:
−12< x < 7
Interval Notation:
(−12,7)
Step-by-step explanation:
first write |2x+5|<19 as a piece wise
2x+5≥0
To find the interval for the first piece, find where the inside of the absolute value is non-negative.
[tex]\frac{2x}{2}[/tex] ≥[tex]\frac{5}{2}[/tex] divide
x ≥−[tex]\frac{5}{2}[/tex] cancel common factor of 2
x ≥ −5/2.
To find the interval for the second piece, find where the inside of the absolute value is negative.
2x+5 < 0
substract by 5
2x < −5
divide by 2x
2x/2< −5/2
simplify to left side
x < −5 / 2
Simplify the right side.
x < −5/2
In the piece where 2x+5 is negative, remove the absolute value and multiply by −1
− (2x+5) < 19
Write as a piecewise.
{2x+5 <19 x ≥ − 5/2
− (2x+5) < 19 x <− 5/2
Simplify −(2x+5)<19.
{2x+5<19 x≥−5/2
−2x−5<19 x<−5/2
Solve 2x+5 < 19 when x ≥ −5/2.
2x+5<19 for x.
Move all terms not containing x to the right side of the inequality.
2x < 14
divide by 2
x < 7
Find the intersection of x < 7 and x ≥−5/2.
−5/2 ≤x <7
Solve −2x−5 <19 when x <−5/2.
Move all terms not containing x to the right side of the inequality.
−2x<24
divide by -2
x>−12
Find the intersection of x > −12 and x <−5/2.
Find the union of the solutions.
−12 < x < 7
What is the answer to 0.2x10=
0.2 × 10 = 2
u can check a calculator
If 1/4 of a gallon is enough for 1/3 of a room, how much paint would you need to paint four rooms?
Answer:
you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons
a line parallel to the graph of 3x+2y=6 and contains the point (6,-3)
Paige bought 1.06 pounds of what is 42.05 what does the lettuce cost per pound pounder to the nearest cent help please
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
1.6 pounds of lettuce costs :
$ 42.051 pound of lettuce costs :
$ 42.05 ÷ 1.06$ 39.66 per poundPLEASEEEEEEE HELLPPPPP
Answer:
a) 3.5metres
b) 34metres
You have a bag filled with different colored poker chips. In the bag, there are 5 red chips, 16 grey
chips, 4, black chips, 7 blue chips, and 13 green chips. What is the ratio of the number of total chips to
the number of red AND blue chips
Answer:
45:12
Step-by-step explanation:
5 + 16 + 4 + 7 + 13 = 45
5 (red) + 7 (blue) = 12
3. The ratio of milk water in 55 liters of Adultered milk is 7:4. How much water must be added to make the mixture Ratio of 7:6? a)5 liters b)10 liters c)15 liters
Answer:
The answer is B 10 L
Step-by-step explanation:
let milk and water in the mixture be 7x and 4x equal 55L
[tex]7x + 4x = 55 \\ 11x = 55 \\ x = 5[/tex]
[tex]7(5) = 35l \: milk \\ 4(5) = 20l \: water[/tex]
let x Liters of water he added so that the ratio is 7:6
[tex] \frac{35l \: milk}{20l \: water + x} = \frac{7}{6} [/tex]
cross multiply
[tex]35l \: milk \times 6 = (20l \: water + x)7 \\ 210l \: m= 140l \: w + 7x \\ 210l \: m - 140l \: w = 7x \\ 70l = 7x \\ \frac{70}{7} = \frac{7x}{7 } \\ x = 10 l \: water[/tex]
if a(12)= x/3+2 and b(x)=12x, what is a(12)+b(1)?
Answer:
[tex]a(12) = 12 \div 3 + 2 \\ + b(1) = 12 \times 1 \\ = 4 + 2 + 12 = 18[/tex]
Is 2 pi 9 inches rational or irrational
see budy your answer is very simple and that's 2 pi 9 inches is a rational number
John's phone bills for the last five months are $24.71, $22.13, $19.87, $27.33, and $26.76.
Find John's mean phone bill over this period.
Answer:
$24.16
Step-by-step explanation:
Suppose 96% of students chose to study Spanish their freshman year, and that meant that there were 504 such students. How many students chose not to take Spanish their freshman year?
Answer: pls mark brainliest
20.24 students
96 percent of 506 is 485.76
506 - 485.76 = 20.24
look at the photo.
Which expression is equivalent to the given expression? 10q +5
due at 5:30 pls help asap
Write an equation in point-slope form for the line that passes through the given points.
(4,−6), (6,−4)
Answer:
y=x-10
Step-by-step explanation:
slope equal to
[tex]m = \frac{ - 4 - ( - 6)}{6 - 4} = \frac{2}{2} = 1[/tex]
y=mx+c(constant)
-6=1×4+c, then c=-10
NO LINKS PLEASE HURRY I REALLY NED HELP!!!
Answer:
The answer is D
Step-by-step explanation:
-7.6+4.17= -3.43x
3.54-1.32= 2.22
5) Find the numbers:
a. 0.75 of what number is 9?
b. 0.8 of what number is 8?
Answer:
12
10
Step-by-step explanation:
A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.
Here's the solution :
Side of the equilateral triangle = x Side of square = x + 10perimeter of equilateral triangle = 3 × x = 3x
perimeter of square = 4 × (x + 10)
now, according to above statement :
permission (square) = 3 × perimeter (triangle)
that is :
[tex]4(x + 10) = 3 \times 3x[/tex][tex]4x + 40 = 9x[/tex][tex]9x - 4x = 40[/tex][tex]5x = 40[/tex][tex]x = 8[/tex]therefore, side of triangle = 8 cm
perimeter (triangle) = 8 × 3 = 24 cmside of square = 8 + 10 = 18 cmperimeter of square= 18 × 4 = 72 xmAnswer:
Let the side of the equilateral triangle = x
so the side of the square = x+10
The perimeter of the triangle = 3x
and the perimeter of the square = 4(x+10)
condition : the perimeter of the square is 3 times the perimeter of the triangle.
so, 4(x+10) = 3*(3x)
Step-by-step explanation:
A water hose had filled up of 1/2 a pool after 1/2 of an hour. At this rate, how
many hours would it take to fill the pool?
Answer:
1 hour
Step-by-step explanation:
1/2 hour:1/2 pool
1/2x2 hour:1/2x2 pool
1 hour: 1pool
What is the inequality shown?
The Inequality shown here is :
[tex] - 3 \leqslant x < 2[/tex]a child has a collection of football cards. they are to be kept in a folder with 9 cards on each page.the child has 28 complete sets of 12 cards. how manypages will be needed to store the cardss?
Answer:
37.7
Step-by-step explanation:
Help plssssssssssssssss
Answer:
both
Step-by-step explanation:
The mean and the median give the same information, so it doesn't matter which one she chooses.
Which of the following fractions is a proper fraction?
Answer:
A
Step-by-step explanation:
because the numerator is less than denometer
Answer:
The answer is A
Explaination
for a fractions to be proper the denominator must be greater than the numerator
5=numerator
8= denominator
Evaluate.
−|a+b|/2−c when a=178 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
a=1-7/8=15/8
b=-1
c=-4
[tex]\\ \sf\longmapsto \dfrac{-|a+b|}{2-c}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{15}{8}-1|}{2-(-4)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{7}{8}|}{2+4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{-7}{8}}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7}{8(6)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-7}{48}[/tex]
Answer:
-7/48
Step-by-step explanation: I took the test
What is the measure of the angle formed by the minute hand and hour
hand of a clock in each case?
at 6 o'clock
at 4 o'clock
at 3 o'clock
PLEASE HELP ASAP PLEASE
Answer:
180 degrees, 120 degrees, 90 degrees
Step-by-step explanation:
each hour is 30 degrees.
at 6 o'clock the hands are straight, at 4 o'clock they make a 120 degree angle, and at 3 o'clock they make a right angle
2x=16−2 Value of x ?
Answer:
x = 7
Step-by-step explanation:
2x = 16 - 2
2x = 14
x = 14 / 2
x = 7
Answer:
[tex]\sf\longmapsto \: x = 7[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 16 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 14[/tex]
[tex]\sf\longmapsto \: x = \frac{14}{2} [/tex]
[tex]\sf\longmapsto \: x = 7[/tex]
A little confused here!
Hey guys. I just need someone's help to clarify things with me.
As I was doing the equations, I got to:
x^-1
-----
x^13
I moved the x^-1 down to x^13 so they'd subtract. But when I did, x^-1 became positive.
So it became x^13 times x^1
Radical Rule: a^n x a^m is pretty much a^n+m
So my answer was 14.
How did x^-1 become positive in this case?
Step-by-step explanation:
Given [tex]\frac{x*x^{-2} }{x^{13}}[/tex]
= [tex]\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}[/tex]
According to the Negative Exponent Rule, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Therefore, [tex]\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}[/tex]
In other words, [tex]x^{-1}[/tex] became positive because of the Negative Exponent Rule. Once you bring [tex]x^{-1}[/tex] down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, [tex]a^{m}a^{n} = a^{m+n}[/tex].
Please mark my answers as the Brainliest if you find my explanations helpful :)
Suppose that the value of a stock varies each day from $12.82 to $33.17 with
a uniform distribution.
Find the third quartile; 75% of all days the stock is below what value?
Answer:
$28.08
Step-by-step explanation:
$33.17 - $12.82 = $20.35
75% of $20.35 = $15.26
$15.26 + $12.82 = $28.08
Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the function?
Answer:
6 is the constant :
because it is never going to change
f(x), and others that contain x will change based on the value x
Since 6 doesn’t have the c with it it will be constant
What is the length of the line?
Answer:
its A 6.5................
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13+7.9n and 10+8.2n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box? The larger box of cereal has as much cereal as nothing smaller boxes.
Answer: 10.5 small boxes
Step-by-step explanation:
Find the indicated side measure.
Help pls!!!!!!!
Answer:
t=8
DE=8
KL=33
AB=[tex]\frac{127}{13}[/tex]
Step-by-step explanation:
40=5t ÷ t=8
5x-12=3x-4 combine like terms 2x=8 x=4
10x+3=3x+24 combine like terms 7x=21 x=3
[tex]\frac{3}{2}x+4=\frac{1}{5}x+9[/tex] combine like terms 13x=50 [tex]x=\frac{50}{13}[/tex]