Which number line shows the solutions of 13x−8≥x+6?
Answer:
the one that shows -21 in the line
Step-by-step explanation:
The value of the variable x is greater than or equal to 7/6 on the number line.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
13x - 8 ≥ x + 6
Simplify the equation, then the value of x will be
13x - 8 ≥ x + 6
13x - x ≥ 8 + 6
12x ≥ 14
x ≥ 14 / 12
x ≥ 7/6
The value of the variable x is greater than or equal to 7/6 on the number line.
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Look at the picture, I’ll give 40 points. If it’s correct
Answer:
8
Step-by-step explanation:
I don't know how to explain
What is the area of a rectangle with the length 14 1/2 inches and a width of 5 2/3 inches
Answer:
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Step-by-step explanation:
A = l*w
A = (14 1/2)(5 2/3)
A = (29/2)(17/3)
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
A truck has 475 apples on it. It makes a delivery of 215 apples to the farmer's market. The rest of the apples on the truck are delivered to the grocery store. How many more apples were delivered to the grocery store than to the farmer's market?
Answer:
45 more apples
Step-by-step explanation:
Well the total is 475
215 is already gone and the remaining goes to the store
475-215= 260
Groccery gets 260
Farmer gets 215
So to find how much more yuou jsut subtract the 2
260-215 which is 45
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
look at pic 10 pts will mark brainilest
Answer:
D
Step-by-step explanation:
It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.
jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?
Answer:
$5
Step-by-step explanation:
The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?
Answer:
Solution in photo
a storm blew down many trees. several neighbors rented a chain saw for $232.85 and helped each other cut up and stack wood. the rental company charges $73.95 per day plus a $11 sharpening fee. how many days was the saw rented?
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Answer:
3 days
Step-by-step explanation:
You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.
The equation for the number of days (d) is ...
73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee
73.95d = 221.85 . . . . . . subtract 11
d = 221.85/73.95 = 3 . . . . divide by the coefficient of d
The saw was rented for 3 days.
Answer:
3 days
Step-by-step explanation:
Find the range of the data in the box plot below.
cookies
Number of cookies eaten
by each contestant
HHHHHHHHHHHHHHHHHHHHHHHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
16
Step-by-step explanation:
22-6=16 ;0
can you get this answer
Answer:
1/128
Step-by-step explanation:
use formula: an = a1 × r ^ n-1
a1 = 4
r = 0.5
n = 10
a10 = 1/128
It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.
Answer:
Step-by-step explanation:
You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?
What units are used? (Feet, yards, meters, etc.)
area of yard = 75×55 = 4125 units²
amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.
The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
The width of the rectangular yard W = 55 feet
The length of the rectangular yard L = 75 feet
Let the perimeter of the rectangular yard be = P
And , the required fencing = Perimeter of rectangular yard
Perimeter of rectangular yard P = 2 ( L + W )
Substituting the values in the equation , we get;
Perimeter of rectangular yard P = 2 ( 55 + 75 )
Perimeter of rectangular yard P = 2 ( 130 )
Perimeter of rectangular yard P = 260 feet
Therefore , the value of P is 260 feet
Hence , the perimeter of yard is 260 feet
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Complete question;Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller
6x+2+11x+8=180 what's the value of x?
Answer:
x=10
Step-by-step explanation:
|-3|>2 true or false
Answer:
True
Step-by-step explanation:
l-3l>2
3>2= True
Sean arrives at quater to 7 dinner starts at 6:30 is sean early or late for dinner
Answer:
Sean is late for dinner.
Step-by-step explanation:
A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.
If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.
What is time estimation?When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.
If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.
In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.
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Multiply.
(5v+6w-7)(-3)
Simplify your answer.
Answer:
if my calculator is not wrong Is 21
Which equation would you use to find the value of y?
360−152 because you subtract the arc measure from 360°.
2(152) because the angle on the circle is twice the intercepted arc.
y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.
1/2 (152) because the inscribed angle is half the intercepted arc.
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Answer:
(c) y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.
Step-by-step explanation:
The inscribed angle y is half the measure of the intercepted arc. That arc is the difference between 360° and 152°. So, y is ...
y = 1/2(360° -152°)
3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
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Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?
Answer:
50
Step-by-step explanation:
p=2(l+w)
2(10+15)
50
Will you explain it
Answer:
there is literally nothing in the picture
Answer:
it's a black screen sized 200x200
What can you say about
Pls help! This test determines if I take math 1 or 2 for 8th grade!!
Answer:
My best guess is D she can make 4 dozen cokies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is B because for number A 1+1 =2 2>1.75. B= 1.5<175, c= 0.5 <1, d. 2>1.75
Two interior angles of triangle FGH measure 25° and 50°. What is the measure of ∠HFG?
Answer: 105
Step-by-step explanation:
This is an interesting question. I would rewrite it as
In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?
In the original question, the answer could technically be 25 or 50 is angle HFG.
Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)
Professor Ivy has given the following weights to her grades: Weight of Area Homework 5% Projects 25% Quiz 25% Exams 45% Your friend has the following averages: Homework: 95 Projects: 89 Quizzes: 80 Exams: 86
Answer:
The said friend's grade in Professor Ivy's class is 85.7.
Step-by-step explanation:
Assuming the question asks for your friend's grade in Professor Ivy's class.
0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7
Please help, I need to solve for m. a=f/m
Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Please I need help fast can’t figure this out
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answer:
91in by 100in
Step-by-step explanation:
Josie recorded the average monthly temperatures for two cities in the state where she lives. For City 1,
what is the mean of the average monthly temperatures? What is the mean absolute deviation of the
average monthly temperatures? Round your answers to the nearest tenth.
Average Monthly Temperatures for City 1 (°F)
45, 37, 64, 50, 44, 49, 73, 76, 27, 23, 49, 45
Average Monthly Temperatures for City 2 (°F)
30, 22, 49, 35, 29, 34,58,61, 12, 8, 34, 30
The mean average monthly temperature in City 1 is
OF.
The mean absolute deviation for the average monthly temperature in City 1 is
OF.
Answer:
The mean average monthly temperature in City 1 is 48.75°F.
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
Step-by-step explanation:
For this case we have the following dataset given:
Average Monthly Temperatures for City 1 (° F)
30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37
Average Monthly Temperatures for City 2 (° F)
15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22
For this case the sample mean can be calculated with the following formula:
[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]
And replacing we got:
[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]
The mean average monthly temperature in City 1 is 48.75°F.
And now we can calculate the following values:
[tex]$|38-48.75|=10.75$[/tex]
[tex]$|66-48.75|=17.25$[/tex]
[tex]$|78-48.75|=29.25$[/tex]
[tex]$|47-48.75|=1.75$[/tex]
[tex]$|75-48.75|=26.25$[/tex]
[tex]$|35-48.75|=13.75$[/tex]
[tex]$|45-48.75|=3.75$[/tex]
[tex]$|56-48.75|=7.25$[/tex]
[tex]$|29-48.75|=19.75$[/tex]
[tex]$|49-48.75|=0.25$[/tex]
[tex]$|37-48.75|=11.75$[/tex]
And the mean absolute deviation is given by:
[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
Please help me hurry
Answer:
m<P = 48°
m<Q = 132°
Step-by-step explanation:
Given:
m<S = (14x + 6)°
m<R = (5x + 3)°
Required:
m<P, m<Q
Solution:
✔️First, find the value of x
m<S + m<R = 180° (consecutive angles are supplementary)
14x + 6 + 5x + 3 = 180 (substitution)
Collect like terms
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
x = 9
✔️m<P = m<R (opposite angles are congruent)
m<P = (5x + 3)° (substitution)
Plug in the value of x
m<P = 5*9 + 3
m<P = 48°
✔️m<Q = m<S (opposite angels are congruent)
m<Q = (14x + 6)°
Plug in the value of x
m<Q = 14*9 + 6
m<Q = 132°