Answer:
x ≥ -11/2
Step-by-step explanation:
Step 1: Write inequality
1/2(8x - 2) - 2/3(9x + 3) ≤ 8
Step 2: Solve for x
Distribute: 4x - 1 - 6x - 2 ≤ 8Combine like terms: -2x - 3 ≤ 8Add 3 to both sides: -2x ≤ 11Divide both sides by -2: x ≥ -11/2Eight cars are to be parked in a row for viewing at a fair. Three of the cars are the same colour and are to be kept together in the viewing row. Determine the number of possible arrangements of the cars, given that the three cars of the same colour are kept together.
Answer:
720 possible arrangements.
Step-by-step explanation:
The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.
What is combination?The combination is a way of selecting items from a collection where the order of selection does not matter.
We have,
Number of cars = 8
Number of cars that are the same in color = 3
Cars that are the same in color can be arranged = 3!
There are 8 cars such that,
1 2 3 4 5 6 7 8
Three cars of the same color are taken out and we have,
1 2 3 4 5
We see that there are six spaces = 6!
where we can put the same color cars together so,
The possible arrangement of the cars, given that the three cars of the same color are kept together:
= 3! x 6!
= 3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1
= 4320
Thus,
The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.
Learn more about combination here:
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a rectangle is 25 feet long its area 375 square feet.
What is the perimeter of the rectangle
Area = length x width.
Divide the area by the length of find the width.
Width = 375/25 = 15 feet.
The perimeter is the sum
Of the 4 sides.
Perimeter = 25 + 25 + 15 + 15 = 80 feet.
The perimeter of a rectangle is 80 feet.
Given that, the length of a rectangle=25 feet and area of the rectangle=375 square feet.
We need to find the perimeter of a rectangle.
What is the formula to find the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
We know that, the area of a rectangle=length×width
Now, the area of a rectangle=25×width
⇒375=25×width
⇒Width=15 feet
So, perimeter = 2(25+15).
=80 feet
Therefore, the perimeter of a rectangle is 80 feet.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/15287805.
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which expression is equivalent to 1/27
A. 3^1 x 3^-10
B. 3^-1 x 3^10
C. 3^-4 x 3^7
D. 3^4 x 3^-7
Answer:
D
Step-by-step explanation:
Mr. Bauer deposits $600 in an account that earns simple interest at an annual rate of 2%.
Answer:
The answer to this is:
600 ( 1 + 3 x 0.02)
What is 29202 - 1873
Answer:
27,329
Step-by-step explanation:
Answer:
27329
Step-by-step explanation:
I substracted :D
What is the difference in the steps you take to evaluate (-7)2 and -72 ? What is the
difference in the values?
Answer:
58
Step-by-step explanation:
because it is
Answer:
Sample Response:
To find (–7)2, the base –7 is multiplied by itself: (–7)(–7) = 49. To find –72, the base 7 is multiplied by itself: 7 • 7 = 49. The negative sign is then applied to get –49.
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point that divides MN such that MP: PN is equal to 2: 1?
Given:
The endpoints of MN are located at M (-4, 4) and N (2,-2).
Point P divides the line segment MN such that MP: PN = 2: 1
To find:
The coordinates of point P.
Solution:
Section formula: If a point divides a line segment in m:n, then coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment MN in 2:1. So,
[tex]P=\left(\dfrac{2(2)+1(-4)}{2+1},\dfrac{2(-2)+1(4)}{2+1}\right)[/tex]
[tex]P=\left(\dfrac{4-4}{3},\dfrac{-4+4}{3}\right)[/tex]
[tex]P=\left(\dfrac{0}{3},\dfrac{0}{3}\right)[/tex]
[tex]P=(0,0)[/tex]
Therefore, the coordinates of the point P are (0,0).
help please hurry I need to graph
Answer:
Brainiest would be appreciated
High Hopes^^
Barry-
Answer:
The answer is shown below.
Hope this helps!
Can someone help me wit da question listed in da picture?
Answer:
Add 8 to both sides
Step-by-step explanation:
Normally after adding 8 to both sides you'd solve for x by then dividing by -5, but they just want u to explain what to do lol.
Help me ASAP please I don't understand it please help It is dued by TONIGHT
So, the first blank is for what kind of angle it is: acute, obtuse, reflex, straight, or right. The second blank is for what the measure of the angle is. You can find that out by looking at the protractor. It should tell you what the measure of the angle is. You can read the protractor by looking at the numbers. The numbers are the degrees of incline the angle measures, which is what you're looking for.
Which of the following show the Associative Property?
A. 3 + 8 + 9 = 9 + 3 + 8
B. (3-8) - 9 = 3 - (8 - 9)
C. None of these
D. (3 + 8) - 9 = 3 + (8 + 9)
Can you answer which ones are impossible , unlikely , as likely as not , likely , or certain ?
Use the diagram above. Is AB congruent to DE? To find AC in problem 3, suppose you subtract -2 from 5. do you get the same result? Why?
Answer:
(a) Segments AB and De are not congruent since their lengths are not equal.
(b) Yes, you get the same result. In both cases you must take the absolute value of the difference of the coordinates giving you the same result no matter in which order you subtract the coordinates of the points.
Step-by-step explanation:
(a)
To find the distance between any two points on the number line, take the absolute value of the difference of the coordinates of the points.
The coordinate of point P is p. The coordinate of point Q is q. PQ or QP, the distance between points P and Q, is:
PQ = QP = |p - q| = |q - p|
It does not make a difference in which order you find the diffeence of the coordinates.
Look at points A and B.
Point A has coordinate -2.
Point B has coordinate 3.
AB = |-2 - 3| = |-5| = 5
Now look at points D and E.
Point D has coordinate 10.
Point E has coordinate 14.
DE = |10 - 14| = |-4| = 4
AB = 5; DE = 4
Answer: The lengths of segments AB and DE are not equal, so the segments are not congruent.
(b)
The coordinate of point A is -2.
The coordinate of point C is 5.
AC = |-2 - 5| = |-7| = 7
If you subtract -2 from 5, and then take the absolute value, you get:
AC = |5 - (-2)| = |5 + 2| = |7| = 7
Again you get 7. The order in which you subtract the coordinates of the points does not affect the result since you take the absolute value of the difference in both cases.
AC =
-2(x + 4) + 5x = 4
It's easier than it looks, but I still have problems.
[tex] \huge\boxed{Answer:} [/tex]
[tex] \sf -2(x + 4) + 5x = 4 \\\\\sf
=-2x-8+5x=4 \\\\\sf
=5x-2x-8-4=0 \\\\\sf
=3x-12=0 \\\\\sf
=3x=12 \\\\\sf
x=\frac{12}{3}\\\\\sf
x=\frac{ \cancel{12}}{ \cancel{3}}\\\\\sf
x=4
[/tex]
Hi, I am from India......
Happy to help you..
The Quotient of x and 5 is greater than 22
Answer:
[tex]\frac{x}{5}[/tex] > 22
x = > 110
Step-by-step explanation:
This is the answer because:
1) The quotient of x and 5 means the answer to a division problem. Therefore, it's [tex]\frac{x}{5}[/tex]
2) Greater than 22 means the quotient has to be anything greater than 22. Therefore it is > 22
3) Finally, x is equal to anything greater than 110 because 22 x 5 is 110. Therefore, x has to equal anything greater than 110
The final answer is:
[tex]\frac{x}{5}[/tex] > 22
x = > 110
Hope this helps!
Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Which equation models his distance from home y, in terms of minutes, x?
A)y=−0.2x+ 5
B)y=11/7x-27/7
C)y = 11 7 x − 27 7
D) y= 5x− 0.2 y=0.2x
Answer:
y=-0.2x+5. Correct choice: A)
Step-by-step explanation:
Modeling With Equations
Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:
After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)
After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)
A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct
Testing the second point (15,2): y=-0.2*15+5=2. Correct
This is the correct choice.
B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct
Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect
Incorrect choice.
C) This equation is equal to the choice B), thus this one is incorrect.
D) y=5x-0.2. The first point (5,4) yields to:
4=5*5-0.2=24.8 Incorrect.
The what? of 2 is -2. A. OPPOSITE B.SIGN
The set of whole numbers is closed under addition. True or False?
Answer:
it's true
Step-by-step explanation:
the answer is true check the pic above for explanation
Q. Which of these graphs matches the equation y = -3x?
Answer: C
.......................
Answer: A
Step-by-step explanation:
Solve this linear equation for p: 2.6(5.5p – 12.4) = 127.92 1. Distributive property: 2. Addition property of equality: 3. Division property of equality: 4. Solution: 14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction. p =
Answer:
p = 11.2
Step-by-step explanation:
Given equation is :
2.6(5.5p – 12.4) = 127.92
Using the distributive property :
14.3p - 32.24 = 127.92
Using addition property :
14.3p - 32.24 + 32.24= 127.92 + 32.24 (adding 32.24 to the both sides)
14.3p = 160.16
Using division property :
[tex]p=\dfrac{160.16}{14.3}\\\\p=11.2[/tex]
So, the value of p is 11.2
Answer:
11.2
Step-by-step explanation:
Did it on edge.
I need help asap well mark you brain list
Answer: a's answer is 4096 and for the last question it is 243
Step-by-step explanation:
Answer:
4096243Step-by-step explanation:
Solving exponents
a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243the Tampa Bay Buccaneers completed 18 passes out of 40 attempts. the Chicago Bears completed 14 out of 29. Which team had the greatest fractional part of attempted passes completed
Answer:
Bears (sadly go bucks whoo)
Step-by-step explanation
Buck 0.45
Bears 0.487759
Solve using the Quadratic Formula. 3x2 - 7x - 3 = 0
Answer:
[tex]\displaystyle x_1=\frac{7+ \sqrt{85}}{6}\approx 2.70\\\displaystyle x_2=\frac{7- \sqrt{85}}{6}\approx -0.37[/tex]
Step-by-step explanation:
Quadratic Formula
Given the second-degree equation:
[tex]ax^2+bx+c=0[/tex]
The solutions of the equation can be obtained by applying the formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The equation to solve is:
[tex]3x^2-7x-3=0[/tex]
Which means the values of the coefficients are: a=3, b=-7, c=-3. Substituting the values in the formula:
[tex]\displaystyle x=\frac{-(-7)\pm \sqrt{(-7)^2-4(3)(-3)}}{2(3)}[/tex]
[tex]\displaystyle x=\frac{7\pm \sqrt{49+36}}{6}[/tex]
[tex]\displaystyle x=\frac{7\pm \sqrt{85}}{6}[/tex]
There are two real solutions for this equation:
[tex]\displaystyle x_1=\frac{7+ \sqrt{85}}{6}[/tex]
[tex]\displaystyle x_2=\frac{7- \sqrt{85}}{6}[/tex]
The approximate values of both roots are:
[tex]x_1\approx 2.70[/tex]
[tex]x_2\approx -0.37[/tex]
cual es coeficiente en la expresion 5+9y
Answer:
The Coefficient to 5 + 9y is 9
Step-by-step explanation:
The leading term in a polynomial is the term with the highest degree.
9y
The leading coefficient in a polynomial is the coefficient of the leading term.
9
espero que esto ayude, y que tengas una buena noche
HELP ME ANSWER THIS PLEASE 15 points
Answer:
The answers are:
B), C), & E)
Write the decimal as a fraction.
0.017
Answer:
The answer would be 17/1000
Step-by-step explanation:
Answer:0.017 as a fraction would be 17/1000
Step-by-step explanation:
Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. The table shows the amount of each solution used
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
give me brainliest
F(x)=20x Calculate how high he will be at 5, 25, and 60 minutes.
F(5)=
F(25)=
F(60)=
Answer:
f(5) = 100
f(25) = 500
f(60) = 1200
Step-by-step explanation:
All you had to do was pulug in the f(x) into the x.
F(5) = 20 (5) = 100
f(25) = 20(25) = 500
f(60) = 20(60) = 1200
PLZ MARK ME BRAINLIEST!!!!
The is the missing side of this triangle
Answer: 24.59 or 24.6
Step-by-step explanation: You do the formula A squared+ B squared= C squared. You substitute A and B because you already know them which will make it 11 squared+22 squared=24.6(rounded)
C is larger than both A and B remember that
2(t-3)² - 72 = 0. extracting square roots. with solution please
Answer:
t = 9
Step-by-step explanation:
Here, we want to find the value of t
2(t-3)^2 -72 = 0
2(t-3)^2 = 72
divide both sides by 2
(t-3)^2 = 72/2
(t-3)^2 = 36
(t-3)^2 = 6^2
Since powers are equal, we equate base
t-3 = 6
t = 6 + 3
t = 9