Answer:
24623.5 cubic cm
Step-by-step explanation:
A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.
This is calculated as:
Let the volume of the dilated prism = x
Hence:
x/148 = (5.5)³
Cross Multiply
x = 148 cm³ × 5.5³
x = 24623.5 cm³
The volume of the dilated prism is 24623.5 cubic cm.
HELP
Find the distance from point P (-2, 8) to the line y = -1.
Step-by-step explanation:
Distance= ✓(-2-0)²+(8+1)²
=✓(4+81)
=✓85
Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores
Answer:
The mean absolute deviation is: 7.44
Step-by-step explanation:
Given
[tex]Scores: 98, 78, 84, 75, 91[/tex]
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]
[tex]\bar x = \frac{426}{5}[/tex]
[tex]\bar x = 85.2[/tex]
The mean absolute deviation (M) is:
[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]
So, we have:
[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]
[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]
Remove absolute brackets
[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]
[tex]M = \frac{1}{5}*37.2[/tex]
[tex]M = 7.44[/tex]
WRITE an equation of the line that passes through the given point and is PARALLEL to the given line.
(10, -12), 3x + 4y = 1
Answer:
[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]3x + 4y = 1[/tex]
Rearrange the given equation into slope-intercept form (this will help us determine m)
Subtract 3x from both sides to isolate 4y
[tex]3x + 4y-3x = -3x+1\\4y= -3x+1[/tex]
Divide both sides by 4 to isolate y
[tex]y= -\frac{3}{4} x+\frac{1}{4}[/tex]
Now, we can identify that [tex]-\frac{3}{4}[/tex] is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{3}{4}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{3}{4}x+b[/tex]
Plug in the given point (10,-12) and solve for b
[tex]-12=-\frac{3}{4}(10)+b\\-12=-\frac{3}{2}(5)+b\\-12=-\frac{15}{2}+b[/tex]
Add [tex]\frac{15}{2}[/tex] to both sides to isolate b
[tex]-12+\frac{15}{2}=-\frac{15}{2}+b+\frac{15}{2}\\-12+\frac{15}{2}=b\\-\frac{9}{2} =b[/tex]
Therefore, the y-intercept is [tex]-\frac{9}{2}[/tex]. Plug this back into [tex]y=-\frac{3}{4}x+b[/tex]:
[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]
I hope this helps!
Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.
Answer:
27/18= 1.5
18/6 = 3
3•1.5= 4.5
Step-by-step explanation:
$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.
how many solutions are there to the system of equations graphed below if the lines are parallel ?
A. Zero
They're parallel so they will never intersect therefore: no solutions :]
please give answer I will mark as brainliest if you give the right answer
a) 8.68 x 10^25
b) 1.439 x 10^12
Answer:
(8.6810±0.0013)×10^26 kg
1.439 time 10^12
Step-by-step explanation:
standard for is the whole numer with thousandth's place times 10^n or the number of zeroes
Find the value of x
Answer:
X+6+2x=180
6+3x=180
3x=172
x=57 1/3
For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.
help me solve for x.
does anyone know the answer for his ?
calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest
Answer:
4760
Step-by-step explanation:
Simple interest= principal× time ×rate/100
=3500×4×9/100
= 1260
Amount that will be in the bank after 4years= 3500+1260
=4760
I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(
Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
Hi please help I have no idea how to even start my work, someone help!!!.
Answer:
x is greater than -3 and it is also less than or equal to 2
-3 < x ≤ 2
Step-by-step explanation:
Please telll me answerPlease tell me answer
Answer:
x = 1 . Hopefully im reading this correct
Step-by-step explanation:
8x - 5 = 3
8x = 5 + 3
8x = 8
x = 8/8
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x is 1
Step-by-step explanation:
AC =PR
AB =PQ
8x - 5 =3
8x =3+5
8x =8
x=8/8
x=1
Maggie timed how long it took
her to finish a jigsaw puzzle.
The first time she finished in
12 minutes. She was able to
finish the puzzle twice as fast
the second time and three times
as fast the third time. How
long did it take her to finish
the puzzle the second and third
times?
What is the answer
The first time she finished in 12 minutes.
The second time she finished in 12/2=6 minutes
The third time she finished in 12/3=4 minutes
Please help I’ll give brainliest
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
When completely factored, 2x3 - 200x
equals-
Answer:
Step-by-step explanation:
The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:
[tex]2x(x^2-100)[/tex]
BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to
(x - 10)(x + 10). So the complete factorization is
2x(x - 10)(x + 10)
a b and c of a right angled are in the ratio 7:18:11
the smallest angle is 35
work out angles a b and c
Answer:
a=35° b=90° c=55°
Step-by-step explanation:
7:18:11
total ratio=7+18+11
=36
The smallest angle(a)
7/36 x s=35
7s/36=35
7s=35x36
7s=1260
7s/7=1260/7
s=180°
second angle (b)
18/36x180
=90°
third angle (c)
11/36x180
=55°
which point is a solution to the inequality shown in this graph
(0, 5)
(3, 2)
(-3, -6)
(5, 0)
Answer:
(0,5)
Step-by-step explanation:
if the point is graphed in the blue area then it is a solution to the inequality
Note: because the line is dashed points graphed on the line are not solutions
(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.
even though we may have found the answer let's check the rest just to be safe
(3,2) and (-3,-6) are graphed on the line
remember because the line is dashed points that fall on it are not solutions
therefore (3,2) and (-3,-6) are not Solutions
(5,0) when graphed is not in the shaded area and is therefore not a solution
we can conclude that a is the answer
What is the exponent for the expression 6 x 6 x 6 x 6 x 6?
Answer:
6^5
Step-by-step explanation:
Answer: 6^5
Step-by-step explanation:
This is my hw. heelp
Answer:
1/14
Step-by-step explanation:
given m||n, find the value of x
Answer:
170º
Step-by-step explanation:
The angles are supplementary
x = 180 - 10
x = 170
the triangles are similar, what is the value of x?
Two triangles that intersect at a single vertex. The smaller triangle has an upper angle measuring 126 degrees and the angle where the vertices intersect measuring 16 degrees. The larger triangle has an upper angle measuring 126 degrees. The exterior angle made where the triangles intersect above the point of intersection measures 3 x degrees.
x = 16
x = 38
x = 42
x = 54
Answer:
I think it would be 42. If its wrong I'm sorry
The sum of two consecutive integers is at least 36. What does the equation look like and what is the least possible pair of integers?
A.x+x+1≤36
18 and 17
B.x+x+1≥36
17 and 19
C.x+x+1≥36
18 and 19
D.x+x+1≤36
18 and 18
Answer:
The answer is B
Step-by-step explanation:
the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer
the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive if you estrange 21 rand.
Brian decided to start a dog-walking service. He's going to charge each dog owner $4.50 to walk one dog and $6.75 to walk two dogs. Approximately how much will he earn if he walks 13 single dogs and 9 sets of two dogs?
Answer:
$119.25
Step-by-step explanation:
13 × 4.50 = 58.5
9 × 6.75 = 60,75
58.5 + 60.75 = 119.35
Answer:
$119.25
Step-by-step explanation:
you have to multiply 4.50 x 13 than you multiply 6.75 x 9, which is 60.75 and 58.50. next you add 60.75 and 58.50 and get your answer of $119.25.
Please help me I would really appreciate it, If you can't that is okay but please try!
Answer:
Either A or B
Step-by-step explanation:
Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?
write equivalent fractions for 2 3/4+1 2/3 using a common denominator.
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
Given y= -5x^2 +30x -9, find the axis of symmetry.
x= -30
x= 6
x= 3
x= -3
Answer:
8
Step-by-step explanation:
pls mark me brainliest
-5(x²-6x+9)+45-9
-5(x-3)²+36
Standard form
y= a(x-p)²+q
a=-5,p= 3 and q=36
axis of symmetry :x= p
=>x= 3
Hope it helps you...
which ordered pair is a solution to the system of inequalities graphed?
Answer:
(2,2)
Step-by-step explanation:
fits the requirements