Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?
Answer:
YeS, it is a solution
Step-by-step explanation:
Here, we want to check if -6 is a solution to the question
What we have to do is to replace x by -6
If what we have on the left equals that on the right, then -6 is a solution
Thus, we have it that;
3(2(-6) -8)
= 3(-12-8)
= 3(-20) = -60
for the right hand side
-4 (15) = -60
This means both sides are equal and that -6 is a solution
A number cube is labeled 1 through 6. What is the probability of NOT
rolling a 2?
Answer:
Step-by-step explanation:
each of the 6 number has a 1/6 chance of being rolled
1 2 3 4 5 6
1/6 1/6 1/6 1/6 1/6 1/6
Every time the cube is rolled there is a 6/6 chance of any number comes up
1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1
What is the probability of NOT rolling a 2? Any other number
1 2 3 4 5 6
1/6 + 0 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6 or 0.8333
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality. –10.5 < 3a b6 ≤ 7 –4.5c > 9 –215 ≤ –52d
Answer:
1). No, symbol won't be reversed
2.) No, symbol won't be reversed
3.) yes, symbol will be reversed
4.) No, symbol won't be reversed
Step-by-step explanation:
1.)
-10.5 < 3a
-10.5 /3 < 3a /3
-3.5 < 3 (No)
2.)
b/6 ≤ 7
Multiply both sides by 6
b/6 * 6 ≤ 7 * 6
b ≤ 42 (No)
3.)
-4.5c > 9
Dibide both sides by - 4.5
-4.5c / - 4.5 > 9/-4.5
c < 2 (yes)
4.)
–21/5 ≤ –5/2d
Multiply both sides by 2/5
-21/5 * 2/5 ≤ - 5/2d * 2/5
-21/2 ≤ - d
21/2 ≤ d (No)
Plz I need help ASAP
Answer:
22
Step-by-step explanation:
5.50p=5.50x4=22
I hope this is the answer you're looking for! :)
I just edited it.
the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
Which statement is not true about the data shown by the box plot below?
a.
The median of the upper half of the data is 66.
b. The data point 30 is the smallest element of the data.
C.The median of the data is 58.
d. The interquartile range is 26.
Answer:
a
Step-by-step explanation:
Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?
❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘
Answer:
❘-40 - 140❘
Step-by-step explanation:
Given that,
Franky’s SAT score was 140 points above the average score.
Francesca’s SAT score was 40 points below the average score.
We need to find the expression that represents the difference in their scores. It can be calculated as follows :
d = ❘-40 - 140❘
= -180
Hence, the correct option is (A) "❘-40 - 140❘".
What is the area of rectangle CDEF?ILL GIVE BRAINLIEST
Answer:
180 is the answer
Step-by-step explanation:
To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)
Then multiply 12 times 15 to find out the area
15 x 12= 180
what do you mean CDEF
and can I get brainliest?
If the sum of two numbers is 67, and there difference is 33. The largest number is what?
Which of the following is an irrational number?
A. Vo
B. 73
C. 1.36
D. -0.19
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
root three is irrational
Can someone please help me
Answer:
a) y = 1.6x .
b) 197.8 .
Step-by-step explanation:
a) y ( Weight lbs. ), x ( Week ), Constant rate ( 1.6 ) .
b) 1.6 x 16 = 25.6 .
Hope this helps !
Answer:
215.4
Step-by-step explanation:
first u do 223.4 - 221.8 to find how much we losses a week which is 1.6 then u do 218.6 - 1.6 = 217 (week 5) then 217 - 1.6 = 215.4 (week 6)
help me please..........
Answer:
oof thats hard
Step-by-step explanation:
A refrigerator has a marked price of $5000. Mr. Jones bought it on hire purchase for $7500. What is the extra cost Mr. Jones paid as a percentage of the cash price? *
A) 66.6%
B) 33.3%
C) 50%
D) 75%
work out: 0.03 x 0.6
0.03 x 0.6
= (3 x 6) / 1000
= 18 / 1000
0.018
you and 2 friends go out to dinner. The food bill comes to $35.20, and you are charged an aditional 6% sales tax. You then want to leave an 18% tip just in the price of food. If you split the amount evenly how much should each person pay?
Answer:
31.94
Step-by-step explanation:
Answer:
13.85.
Step-by-step explanation:
need help again... asap
Answer:
9/41
Step-by-step explanation:
cos=adjacent/hypotenuse
adjacent=9
hypotenuse=41
Help ASAP. This is vital to my math grade. I will award 100 points and Brainly to whoever can give me the correct slope. I need this question correct in order to pass my math class. This is for a dual enrollment class. This is timed
Answer:
-2/2
Step-by-step explanation:
I think the slope is -2/2 I hope I got this right, sorry if I got it wrong. Anyway, you solve this by plotting your two points, then doing rise over run (down 2 and over to the right).
Your welcome :D.
Answer:
Slope: -1
Step-by-step explanation:
( 3, -6) and (5, -8)
m= (y2-y1)/(x2-x1)
m = ( -8 + 6)/ (5-3)
m = (-2)/2
m = -1
Can some tell me which one is correct and how to answer the “ how do you know” part
Answer:
Student B
Step-by-step explanation:
You know because:
The common factor between 3 and 6 is 3.
You can factor 2 x's from both parts and 2 y's.
Therefore, it would be
3x^2y^2.
Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.
Answer:
The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Step-by-step explanation:
Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.
Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.
Substituting L into P, we have
P = 2(L + W)
= 2(2W + 5 + W)
= 2(3W + 5)
= 6W + 5
Since P = 45 feet,
6W + 5 = 45
6W = 45 - 5
6W = 40
W = 40/6
W = 20/3 feet
W = 6²/₃ feet
Since L = 2W + 5, substituting W = 20/3 into L, we have
L = 2W + 5
= 2(20/3) + 5
= 40/3 + 5
taking the L.C.M, we have
= (40 + 15)/3
= 55/3 feet
= 18¹/₃ feet
So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
write the product form of 3 a² b ³
Answer:
a³-b³= (a-b)(a²+ab+ b²)
Step-by-step explanation:
Hi I need help with this hope someone has the answer.A triangular window is above the door to a café. The length of the base of the window is 12 feet, and the height is 10 feet
What is the area of the window?
Answer:
the answer is 60
Step-by-step explanation:
12×10=120
120÷2=60
Step-by-step explanation:
Sample Response: The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.
help with this question please
Which is the following functions is graphed below?
Answer:
A.y=|x|+7
Step-by-step explanation:
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
2 of 6
Brian and Colin are marking exam papers.
Each set takes Brian 43 minutes and Colin
1 hour. Express the times Brian and Colin
take as a ratio in its simplest form.
Step-by-step explanation:
Brian takes = 43 minutes
Colin takes = 1 hour = 60 minutes
In ratio,
43/60
Solving Logarithmic Equations
不
Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)
Answer:
Step-by-step explanation:
3ln(4) = 2ln(x)
ln(4³) = ln(x²)
4³ = x²
(2²)³ = x²
2⁶ = x²
x = ±√2⁶ = ±2³ = ±8
However, the argument of a logarithm must be positive, so x=8.
The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.
To solve the equation, we can use the logarithmic identity that states:
n * log(a) = log(aⁿ)
Using this identity, we can rewrite the equation as:
In(4³) = In(x²)
Simplifying both sides using the natural logarithm properties, we get:
In(64) = In(x²)
Taking the exponential of both sides, we have:
[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]
Taking the square root of both sides, we get:
x = ±8
However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.
Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.
Learn more about logarithmic function here:
https://brainly.com/question/3181916
#SPJ7
Solve for X and round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
cosx = adj/hyp
cos61° = x/7
x= cos61° * 7
*degree mode
3.39
12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x.
Answer:
x = 8
Step-by-step explanation:
Base angles of isoceles triangle are equal
5x + 10 = 50
5x = 40
x = 8
50 points
Help if you know.
Thanks.
Answer:
RhombusStep-by-step explanation:
Refer to attached
You can easily calculate that each of the sides have the length:
AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]Parallel sides have equal slopes:
m = - 4 for AB and CDm = - 1/4 for AD and BCDiagonals are perpendicular as their slopes are negative reciprocal:
m = 1 for ACm = -1 for BDSo we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.
This is the definition of the rhombus.
roup of softball players are training on a square-shaped sports ground with sides measuring 100 yards each. The players run around for 10 minutes to warm up. How many laps around the sports ground do they run given their average speed is 5 yards per second? Please add an explanation. I will mark the brainliest to whoever's answer is best and YOU GET 50 Points.
Answer:
7.5 laps
Step-by-step explanation:
First, you wanna figure out how many yards is in one lap
to do this, you would multiply 100 and 4 (four because there's four equal sides in one lap)
100 x 4 = 400
You know their speed is 5 yards per second, so you wanna find out how many seconds they will be running
to do this, you multiply 60 (sixty because there's sixty seconds in one minute) and 10 (ten because that's the given amount of minutes)
60 x 10 = 600 seconds
now to found out how much they will run in 10 minutes you will multiply 600 by 5
600 x 5 = 3000 yards
now to find how many laps this is, you can divide 3000 yards by 400 yards
3000 ÷ 400 = 7.5 laps