Answer:
9, 12, 15A multiple of 3 can be written 3n where n is a positive integer.
So 3 consecutive multiples of 3 can be written
3n,3n+3,3n+6
The sum of these is 36
3n+3n+3+3n+6=36
9n+9=36
Divide through by 9
n+1=4
n=3
If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36
Step-by-step explanation:
Hope it is helpful....
Help with this question please.
Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?
I had this question asked before lol
Answer:
X=[1 5 8 -1]
Step-by-step explanation:
B or Option 2
Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat
Answer:
She can get 10 pounds of steak and 10 pounds of chicken.
Step-by-step explanation:
As Jacie wants to have at least 20 pounds of meat, you can write the following equation:
x+y=20, where
x refers to the pounds of steak
y refers to the pounds of chicken
Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:
8x+4y=120
So, you have the following equations:
x+y=20 (1)
8x+4y=120 (2)
Now, you can solve for x in (1):
x=20-y (3)
Then, you can replace (3) in (2) and solve for y:
8(20-y)+4y=120
160-8y+4y=120
160-120=8y-4y
40=4y
y=40/4
y=10
Finally, you can relace the value of y in (3) to find x:
x=20-y
x=20-10
x=10
According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.
Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show your work!
The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].
What is volume?Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.
How to calculate volume?We have been given two cones. First is having radius of 7 mi and
height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.
Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]
=(49*3.14*14)/3
=708.86
Approximately 709 [tex]mi^{3}[/tex]
Volume of second cone =1/3π[tex]5^{2} *10[/tex]
=(25*3.14*10)/3
=261.67
Approximately 262 [tex]cm^{3}[/tex].
Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].
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What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
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Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?
I need help fast!
Answer:
x = 4
Step-by-step explanation:
x + 6 +2x = 2x + 6 + 4
combine like terms:
3x + 6 = 2x + 6 + 4
add numbers:
3x + 6 = 2x + 10
subtract 6 on both sides:
3x + 6 - 6 = 2x + 10 - 6
3x = 2x + 4
subtract 2x from both sides:
3x - 2x = 2x - 2x + 4
x = 4
short explanation:
if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4
If P is the incenter of triangle JKL, find PJ.
Answer:
PJ = 41.34
Step-by-step explanation:
P is incenter, three angles bisector meet
∠MJP ≅ ∠OJP
PM = PN = PO = 22 (radius: property of incenter)
∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO
ΔJPM ≅ ΔJPO (ASA) or (SAS)
LM = JO
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
PJ = √35²+22² = √1709 = 41.34
The value of PJ in triangle KJL is 41.32 units.
What is incenter?The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Given that, P is incenter of the triangle KJL,
Considering the triangles ΔMJP and ΔOJP
PM = PO (property of incenter)
∠ JMP ≅ ∠ JOP
JP is common segment.
ΔJPM ≅ ΔJPO (by SAS rule)
JM = JO (CPCTC)
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
Using the Pythagoras theorem,
PJ² = PM²+JM²
PJ = √35²+22² = √1709 = 41.34
Hence, The value of PJ in triangle KJL is 41.32 units.
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PLEASE HELP
Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.
T/2π = √L/32
3.7 / 2 π = 0.588873289
0.588873289² = L / 32
0.34677175 = L/32
0.34677175 x 32 = L
L = 11.096696 ft
11.0971
help me pleaseeeeeeeeeeeeeeeee
$48 was sold at a loss of 10%. The loss was
I need help fast!!!!!!
Answer:
28 Pi
Step-by-step explanation:
circumference = 24(2)(π) = 48π
arc ABC = 360° - 150° = 210°
210/360(48π) = 28 Pi
simplify 3a x 2b x 2
Answer:
[tex]12ab[/tex]
Step-by-step explanation:
3a × 2b = 6ab
6ab × 2 = 12ab
Therefor, the answer is 12ab.
3a × 2b × 2 = 12ab
The expression expects us to find the product . Therefore,
3a × 2b × 2Let's do it step by step
3a × 2b = 6ab
Then,
6ab × 2 = 12ab
Therefore,
3a × 2b × 2 = 12ab
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Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them
Answer: 17/21
Step-by-step explanation:
Number of cities = 42
Fraction of cities that has lake = 5/42
Fraction of cities that have rivers = 29/42
The fraction of these 42 cities that have a lake or river running through them will then be:
= 5/42 + 29/42
= 34/42
= 17/21
will give brainliest if right
SAKHDSKGgsgdyasygudayf
CAN SOMEONE PLS ANSWER THIS COMPLETE AND CORRECT.
Step-by-step explanation:
9. 9x+1 + 9x+1 +88 =180
18x = 90
x = 5
What fraction of people vacationed in another state?
Answer:
3/10 of people vacationed in another state.
Step-by-step explanation:
Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.
18+10+5+15+12=60, and 18 people vacationed in another state, we get
[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]
which statement is incorrect?
Where exactly are the alleged statements?
Help me with this!!!!
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
please help i’ll give brainless
Answer:
1. 12
2. 31
3. 37
4. 87
-8x+2<114
Make sure to type “x” and the the inequality symbol “<,>,<_,_>”
Divide 45 pens between devika bhoomika in the ratio 4:5
Answer:
20:25
Step-by-step explanation:
add how many parts (4+5=9)
45/9=5
4*5=20, 5*5=25
therefore, 20:25
Please help. Find the area of the composite figure
Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!
Step-by-step explanation:
here's your solution
=> Firstly divide above picture in two parts
=> 1st = traingle
=> 2nd = trapezium
=> area of traingle = 1/2*base*height
=> height = 8
=> we need to find out base by using Pythagoras formula
=> base^2 = 17^2 - 8^2
=> base^2 = 289 - 64 = 225
=> base = √225
=> base of traingle = 15
=> now, area of traingle = 1/2*15*8
=>60sq.units
=> area of trapezium = 1/2(sum of p. sides ) *
distance between them
=> area = 1/2*(33 + 15)*16
=> area = 1/2*16*48
=> area = 384sq.units
=> area of whole figure = 384 + 60
= 444 sq.units
5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *
Answer:
$1483.52
Step-by-step explanation:
P=principle
Fn=total at the end of a given year(=n) (subscript)
I= interest in decimal
F=P(1+I)
at end of first year F1=P(1+I)
at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2
or in general Fn=P(1+I)^n
Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.
Answer:
y+4=-2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-2(x-(-1))
y+4=-2(x+1)
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
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ill mark brainlist plss help
Answer:
345,512
Step-by-step explanation:
one liter is a thousand ml, so u just have to multiply
Alexa wants to purchase some new supplies for making jewelry
Answer:
B A A
Step-by-step explanation:
Plz plz plz helpppppplllpl
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
please mark as brainliest
Name two types of angles that are formed when a transversal cuts through parallel lines. HELP!!!
Answer:
In explanation below l
v
Step-by-step explanation:
When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent. For example, ∠1, ∠4, ∠5, and ∠7 are all acute angles.