Answer:1/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
3/2*(x-1/3)-(-5*x)>0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
3 1
(— • (x - —)) - -5x > 0
2 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 - (1) 3x - 1
——————————— = ——————
3 3
Equation at the end of step
2
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
3
:
3
Simplify —
2
Equation at the end of step
3
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
4
:
Equation at the end of step
4
:
(3x - 1)
———————— - -5x > 0
2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
-5x -5x • 2
-5x = ——— = ———————
1 2
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(3x-1) - (-5x • 2) 13x - 1
—————————————————— = ———————
2 2
The equation at the end of step
5
:
13x - 1
——————— > 0
2
STEP
6
:
6.1 Multiply both sides by 2
6.2 Divide both sides by 13
x-(1/13) > 0
Solve Basic Inequality :
6.3 Add 1/13 to both sides
x > 1/13
A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 per chick. Find profit or loss percentage.
Answer: 6.25%
Step-by-step explanation:
50 chicks were purchased at Rs. 60. The total cost of the chicks is:
= 50 * 60
= Rs. 3,000
10 of the chicks died which means the farmer was left with 40 chicks.
These chicks are sold at Rs. 80. Total revenue from the sales are:
= 40 chicks * 80
= Rs. 3,200
The profit is:
= 3,200 - 3,000
= Rs. 200
The percentage is:
= Profit / Revenue
= 200 / 3,200
= 6.25%
Can someone help me pla
Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair
7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4
Answer: 11k + 16 and 7k + 4k + 16
Step-by-step explanation: if we distribute the 4 first we get
7k+4k+16
we can aslo combine the k's to get
11k+16
hope this is helpful (^_^)
Which of the following represents an equation? *
a. 3x + 13 - 5
b. 3 + 11 = 14
c. x + 14
d. x/5 - 2
The bearing of ships A and B from a port are 225degree and 116 degree respectively ship A is 3.9km from ship B on a bearing of 258 degree calculate the distance of ship A from Port p
Answer:
Distance of A from P = 2.55 Kilometers
Step-by-step explanation:
Find the attached solution
Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each container?
Answer:
3 3/4 lb
Step-by-step explanation:
11 ¼ lb ÷ 3
11 ¼ lb x [tex]\frac{1}{3}[/tex]
convert 11 ¼ lb to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb
What is the length of the missing leg?
If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
round the answer to the nearest whole number.
O 490 m3
791 m3
923 m3
1,583 m3
Answer:
Step-by-step explanation:
if a dog weighs 55 pounds how many kilograms would it weigh
Answer:
24.9475803
Step-by-step explanation:
which Is the correct answer? ( links = report )
Answer: B
Step-by-step explanation: Hope this help :D
100 POINTS!!!!!!
which concept best identifies american attitudes about world war 1 when the war began in europe
A isolation
B imperialism
C militarism
D nationalism
Isolationism is what identified America in that moment.
Hope this helps!
Have a fabulous day!
Distribute 10 (1 + 8x2).
Answer:
170
Step-by-step explanation:
8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS
Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x
The student should have added 6 to both sides instead of subtracting it.
The student divided 25/–5 incorrectly.
The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answer:
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
Step-by-step explanation:
When multiplying or dividing an inequality by a negative "flip" the inequality sign
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
---------------
Note:
For a more conventional appearance the entire inequality can be flipped to
–5 < x
A line passes through the points (0, 7) and (2, 3). Given this information, complete the equation below (y= mx+b) by determine the slope and y-intercept.
Answer:
y = -2x + 7
Step-by-step explanation:
Given: (0, 7) and (2, 3)
Using the slope-intercept formula: y2-y1/x2-x1
3-7/2-0 = -4/2 = -2
Y-intercept:
Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.
3 = -2(2) + b
3 = -4 + b
7 = b
Form the equation together:
y = -2x + 7
Jada saw a music video that her favorite artist recently posted online. The equation v(t)=320⋅4t represents the number of views v of the video, t days since Jada saw the video.
Part A: Find v(−2).
Answer:
v(-2) = 20
Step-by-step explanation:
The number of viewers, in t days after Jada saw the video, is given by:
[tex]v(t) = 320*(4)^{t}[/tex]
Find v(−2).
This is v when [tex]t = -2[/tex]. So
[tex]v(-2) = 320*(4)^{-2} = \frac{320}{4^2} = \frac{320}{16} = 20[/tex]
So
v(-2) = 20
5. Determine whether the sequence is arithmetic. If so, find the common difference.
1/9, 5/9, 25/9, 125/9, 625/9,...
A. 25/9
B. 625/9
C. 5/9
D. 4/9
E. The sequence is not arithmetic.
Answer:
d mgdyhdsyii3uhf4t3h.
Right triangle ABC is shown. Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Question:
Obtian the equation that can be used to solve for c
Answer:
Sin50 = 3/c
Step-by-step explanation:
A triangle showing the information given has been attached below for clarity :
Using trigonometry :
AC = 3 = opposite side of angle 50°
AB = c = hypotenus
Using the sine relation of a right angled triangle :
Sin θ = opposite / hypotenus
θ = 50°
Sin 50° = 3 / c
Sin50 = 3/c
Here is a list of ages (years) of children in a room:
3, 3, 4, 4, 7, 5, 9
State the median.
Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.
Answer:
1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]
Step-by-step explanation:
The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:
[tex]a + b = 7[/tex] (1)
[tex]a\cdot b = k[/tex] (2)
By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:
1) [tex]a = 1[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 6[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (6)\cdot (1)[/tex]
[tex]k = 6[/tex]
2) [tex]a = 3[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 4[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (3)\cdot (4)[/tex]
[tex]k = 12[/tex]
graph a
graph b
graph c
Answer:
c the graph c is the answer
in the adjoining figure ABC is right angled and triangle and B C D E is a rectangle .if ed= 24 cm then a triangle ∆ABC= 45 cm and BC = 7 cm find the length of ad
Answer:
Step-by-step explanation:
2
1. Round 9.39 to the nearest whole number
2. what is the value of the expression 4^3+9 times 6
Answer:
Step-by-step explanation:
1. The digits 39 are less than 50. Round 9.39 to 9 (nearest whole number).
2. 4^3+9 times 6 This is an order-of-operations problem. We must do exponentiation before multiplication and division, and addition and subtraction must follow multiplication and division.
4^3 = 64, so we have 64 + 9(6).
Must do multiplication before addition: 64 + 54 = 118
15 x b = 60 explanation
Answer:
x = 4
( if you need a better explanation ask me and i'll give you a different one) :)
Step-by-step explanation:
15 x b = 60
15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other
x=4
Which inequality is equivalent to −<7 - y < 7 ?
Answer: you didn't provide anything for us to answer
Step-by-step explanation:
Hexagon
apothem = 15
side = 17.3
Find the area of this regular polygon. (Round to one decimal spot if necessary)
Answer:
778.5
Step-by-step explanation:
Area of any regular polygon = ( apothem * side length * number of sides ) divided by 2
Given information:
Apothem = 15
Side length = 17.3
Polygon Type = Hexagon ( its important to note that a hexagon has 6 sides )
* Plug in the given values into the formula *
Area = [tex]\frac{15*17.3*6}{2}[/tex]
15 * 17 = 259.5
259.5*6=1557
[tex]\frac{1557}{2} =778.5[/tex]
Hence, area = 778.5 square units
Answer:
778.5
Step-by-step explanation:
Solve for x in the diagram below.
Answer:
x = 9
Step-by-step explanation:
The parallel lines divide the sides of the triangle in proportion, that is
[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]
[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
A polygon's measurement(s) include which of the following?
Check all that apply.
A. Height
B. None of these
C. Length
D. Width
Answer:
Length and Width
Step-by-step explanation:
I took the A P E X quiz
A polygon's measurement includes Length and Width, That is option c and d.
What is Polygon?
A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle.
Polygon has a plain 2D shape which has minimum 3 sides.
polygon not has curve lines.
Polygon is not 3D shape figure, so height is not a measurement of polygon.
Hence, Length and Width is the measurement of polygon
Learn more about Polygon:
https://brainly.com/question/10441863
#SPJ2
PLEASE HELP!!!!!!! NO LINKS I will report links
Answer:
Not sure but I think
Surface area = 46
Volume = 4 2/3
A coin is tossed 116 times. Heads appears 29 times. What is the experimental probability of getting heads?
Btw 40 pts for this :NOT A SCAM
Answer: 29/116
Step-by-step explanation:
Uh plz help ;-;
Plzzzzz
Answer:
B)
the (8+7) x (10 + 7) x (6 + 4)
Step-by-step explanation:
Answer:
D- (8×10×6) + (7×7×4)
Step-by-step explanation:
The formula for volume is Length×Width×Height.
So you have to find the volume for each one individually then add them up together.
(You can give the other person brainliest if u want.)
Hope it Helps!:)