The simplified expression is 66x - 11y + 3z To simplify the given expression, we can combine like terms:
6(3x) − 2y + 3z + 12(4x) − 9y
Simplifying each term:
18x − 2y + 3z + 48x − 9y
Combining the like terms:
(18x + 48x) + (-2y - 9y) + 3z
Simplifying further:
66x - 11y + 3z
Therefore, the simplified expression is 66x - 11y + 3z.
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please help. 5 points!
Josh and Greg leave from the same place
and travel the same route. Josh travels 2
hours and stops. Greg travels 5 hours at
double Josh's rate. After five hours, they
are 256 miles apart. Find the rate and
distance of each.
9514 1404 393
Answer:
Josh: 32 mph, 64 miGreg: 64 mph, 320 miStep-by-step explanation:
Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...
distance = speed · time
distance = x · 2 = 2x
Then 2x is Greg's rate of travel After 5 hours, his distance is ...
distance = speed · time
distance = (2x) · 5 = 10x
The distance they are apart is ...
10x -2x = 256
8x = 256
x = 32
__
Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.
Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.
__
Check: 320 miles - 64 miles = 256 miles . . . . correct separation
Es el máximo común divisor de 48 y 36 es
Answer:
12
Step-by-step explanation:
48: 1, 48, 2, 24, 3, 16, 4, 12, 6, 8
36: 1, 36, 2, 18, 3, 12, 4, 9, 6
GCF, aka maximo comun divisor = 12
Answer:
12 (lo siento si está mal)
Step-by-step explanation:
in a circular garden the distance from the center of the circle to the edge is 15ft . If a gardner wants to plant roses in a 60 degrees sector of the circle , what is the area of the rose garden
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²
Find mZRPQ.
11
80°
B
S
[P
Q
R
150°
go to (-5, 1)
go to (-4, 2)
a) 115°
b) 350
c) 80°
d) 1500
e) 75°
go to (-2, 1)
go to (6,0)
go to (8,2)
Answer:
A
Step-by-step explanation:
Angle P is intercepted by two arcs.
SB and RQ.
We can use this theorem,
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
So in other words,
[tex] \frac{80 + 150}{2} = rpq[/tex]
[tex]rpq = 115[/tex]
Find the deference between
simple etablerst and compoun
interest on 24000 at 10% for
2 years.
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520
ASAP I NEED YOU HELP 10 POINTS MARK YOU BRANLIEST JUST HELP ME!!!!
Choose the Algebraic equation that matches the table
A) y = x - 3
B) y = x + 2
C) y = x - 2
D) y = -x - 2
Answer:
C) y = x-2
Step-by-step explanation:
0-2= -2
2-2= 0
3-2= 1
4-2= 2
And all of that checks out because the values I just got for y are the same as the table
hope this helps chu <3
log x=4 a.10^x=4 b. e^4=x c. 10^x=x d.e^x=4
Answer:
Answer: ∫ (x +1 + 1 x. )dx = 1. 2 x2 + x + ln|x| + C. 3. Evaluate the following integrals. (a) ∫. 2. 0 √4 − y2 dy.
Greta has 45 minutes before her job interview. She is 15 miles away from the interview. How fast must she drive to be on time for the interview?
Rational Functions
Create a Model to represent the scenario.
Shrek, Donkey, and Fiona are riding in a carriage to Far Far Away. The horses, Prescott and Thaddeus, are pulling the carriage all the way. Prescott alone could pull the carriage all the way to Far Far Away and back to The Swamp in 21 days, but together they are able to pull the carriage to Far Far Away in 9 days.
Answer:
Step-by-step explanation:
Remark
I suppose the question is what is Thaddeus' time to make the trip. This is a fairly common question but not everyone knows how to solve it.
Derivation of the Formula
Prescott + Thaddeus = 1 trip
So the logic of the equation is this.
distance = 1 trip
time = number of dates
rate = ?
rate = distance / time
To find out what the contribution of Thaddeus is set up a distance time formula.
1/21 days is the rate for Prescott
1/x days is the rate for Thaddeus
Together the rate is 1/9
Solution
1/21 + 1/x = 1/9
Subtract 1/21 from both sides
1/x = 1/9 - 1/21
It's not obvious what the LCM is.
9 = 3 * 3
21 = 3 * 7
LCM: 7 * 3 *3 = 63
1/x = 7/63 - 3/63 = 4/63
1/x = 4/63 Cross Multiply
4x = 63 Divide by 4
x = 63/4
Answer
x = 15 3/4
x = 15.75
Help me with this please
Answer: (13 , 6)
9 + 17 / 2 = 13
4 + 8 / 2 = 6
Gary randomly chose an item from the following to
Answer:
Ice Cream= 2/7
Soccer: 3/14
Book= 5/14
Coin= 1/7
Solve for x and round to the nearest tenth
Answer:
x = 6.0
Step-by-step explanation:
Given:
Line AB is the hypotenuse
50.1 degrees is an angle
90 degrees is a right angle
Line CB is x and is opposite to the 50.1 degree angle
Line AC is 5 and is adjacent to the 50.1 degree angle
We know we have angles of 50.1 degrees and 90 degrees
We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees
Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj
We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj
tan(50.1) = x/5
x = 5.9979
or
tan(angle) = opp/adj
tan(39.9) = 5/x
x = 5.9979
Round to the nearest tenth:
x = 6.0
The area of a rectangle is 12 square inches and the width is 3 inches what is the length
Answer:
4 inches
Step-by-step explanation:
W×L=A
3×L=12
L=4
Answer: 4
Step-by-step explanation
Area of square = width ×lenght
12 = 3 × lenght
Lenght = 12÷3
Lenght = 4
Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?
Answer:
32
Step-by-step explanation:
Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:
Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.Centroid (i.e. O) is a point of concurrency of the triangle.By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)
Also, note that:
Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:
Thus:
G = centroid (given)
AB = 6 units (given)
FA = 5 units (given)
EA = EC (equal sides of isosceles triangle)
Therefore:EF = FA = 5 units
EA = EF + FA
SubstituteEA = 5 + 5
EA = 10 units
EC = EA (equal sides of isosceles)
EC = 10 units
AB = CB = 6 units
AC = AB + CB
SubstituteAC = 6 + 6
AC = 12 units
Perimeter of triangle AEC = AC + EA + EC
SubstitutePerimeter of triangle AEC = 12 + 10 + 10 = 32 units
Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
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Help plz been working on this for 2 days due TODAY. MARKING BRAINLIEST FOR CORRECT ANSWER!!!!!! No links and only answer if you are 100% sure about the answer.
Answer:
only 1 unique triangle is possible sorry if i'm wrong
Step-by-step explanation:
Answer: 1.C 2. C 3.B
Step-by-step explanation:
A container of disinfectant wipes is in the shape of a cylinder. The cylinder has a DIAMETER of 3 inches and a height of 8 inches.
Calculate the volume of the container.
V = π r 2 h
HEY JUST LETTING EVERYONE KNOW DO NOT CLICK ON LINKS THEY ARE NOT AN ANSWER TO YOUR QUESTION STAY SAFE
Answer:thanks :)
Step-by-step explanation:
Answer:
Thx or the notice and free points
THIS IS TRUE NOT FAKE
WARNING!!!
Step-by-step explanation:
What is the mean medium and mad of 0,2,2,3,4,4,4,5,5,6
Answer:
mean = 2
median = 2
mode = no mode
Step-by-step explanation:
If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?
Answer: X = -9
Step-by-step explanation:
You can set up a ratio to solve this.
208/13 = -144/x
208x=-1872
x = -9
[tex]\mathbb{ANSWER:}[/tex]
Step 1: Write the equation of variation
[tex]\sf y \propto x[/tex][tex]\sf y = kx[/tex]Step 2: Solve for k or the constant of proportionality
[tex]\sf 208 = k(13)[/tex][tex]\sf \frac{208}{13} = \frac{k(13)}{13}[/tex][tex]\sf k = 16[/tex]Step 3: Solve for x
[tex]\sf -144 = 16x[/tex][tex]\sf \frac{-144}{16} = \frac{16x}{16}[/tex][tex]\sf x = \boxed{\sf -9}[/tex]A submarine 58 feet below see level. An a airplane is 264 feet above sea level. How far above is the submarine in the plane?
Answer:
322
Step-by-step explanation:
58+264=322
Answer:
322 feet
Step-by-step explanation:
if the question was two positive heights, you would subtract, and you still do. we find how many inches my father is taller than me by subtracting my height from his, and the same applies to this, though the submarine, being below sea level is at a negative height. when you subtract a negative, it's the same as adding a positive.
264 - (-58)
264 + 58 = 322
NEED HELP ASAP
HELP HELP
Answer:
C) 5/13
Step-by-step explanation:
The probability is #red car / total # of cars = 25 / (25 + 40) = 5/13.
If it is helpful, plz give me Brainliest.
1. A store sells bananas according to the table shown below.
AR
ents of
Reading
Pounds of
Bananas, b
Cost ($), c
2
1.60
b
5
4.00
8
6.40
Which statement is best supported by the information in the table?
Answer:
That each pound of bananas is .80¢
Determine whether each given expression is equivalent to 6 x 4 1/2 or is not equivalent by checking the appeopriate box in the table below
А 6 x 4 + 2
B 6x5-1/2
C 6x4+6x1/2
D 6 x 5-6x1/2
At an ice cream shop, 4 of the last 10 cones sold had cookies and cream ice cream. Considering this data, how many of the next 15 cones sold would you expect to have cookies and cream ice cream?
Answer:
6 cones
Step-by-step explanation:
4/10=2/5
2/5x3x3=6/15
6 cones
Emily has 13 candies and wants to give an even amount to each of her 3 friends. How many candies do each of Emily's friends get, and how many candies are left over?
Answer:
4 with 1 left over
Step-by-step explanation:
Find the missing side. Round your answer to the nearest tenth.
Please help me!!!!
Answer:7.8
Step-by-step explanation:
23 + b = 30. Substitute 10 for b.
write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
45 : 5
Answer:
9/1
Step-by-step explanation:
45/5 = 9
a shoe store stocks 3 pairs if boots for every 5 pairs of athletic shoes
Answer:
whats the question
Step-by-step explanation: