Answer:
Large Box weighs
13.25 kg and Small box weighs 6.25 kg
Step-by-step explanation:
Let the large box be L and small box be S
According to question,
6L + 2S = 92 kg .... (i)
and 3L + 5S = 71 kg ....(ii)
Subtracting we get,
3L - 3S = 21 kg
or L - S = 7 kg
or L = 7 + S kg ... (iii)
Now, putting the value of L in eqn (i) we get
6 (7+S) + 2S = 92 kg
or 42 + 6S + 2S = 92
or 8S = 50
or S = 50/8
or S = 6.25 Kg
Then, 6L + (2×6.25) = 92 kg
or, 6L = 92 - 12.5
or, L = 79.5/6
or, L = 13.25 kg
are these two line parallel to each other??
Answer:
No
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 1 ← is in slope- intercept form
with slope m = 3
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2,4) and (x₂, y₂ ) = (4, 12) ← 2 ordered pairs from the table
m = [tex]\frac{12-4}{4-2}[/tex] = [tex]\frac{8}{2}[/tex] = 4
Parallel lines have equal slopes
The slope of these 2 lines are not equal , thus not parallel
Solve for x: (1/3)x = 81
Answer:
243
Step-by-step explanation:
1 /3 x=81
Step 1: Multiply both sides by 3.
3*( 1 /3 x)=(3)*(81)
x=243
The value of x for the expression (1/3)x = 81 is 243.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations.
The given expression is,
(1/3)x = 81
To find the value of x,
Solve the expression,
(1/3)x = 81
x = 81 x 3
x = 243
The required value of x is 243.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
Here’s the whole thing only posted half
Answer:
48 49 51 53 58
Step-by-step explanation:
48×2= 96 so 49 51 53 and 58 are greater hope this helps:)
(6x-5y+4)dy+(y-2x-1)dx=0
(6x - 5y + 4) dy + (y - 2x - 1) dx = 0
(6x - 5y + 4) dy = (2x - y + 1) dx
dy/dx = (2x - y + 1) / (6x - 5y + 4)
Let X = x - a and Y = y - b. We want to find constants a and b such that
dY/dX = (a rational function)
where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have
dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)
dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)
Then we solve for a and b in the system,
2a - b + 1 = 0
6a - 5b + 4 = 0
==> a = -1/4 and b = 1/2
With these constants, the equation reduces to
dY/dX = (2X - Y) / (6X - 5Y)
Now substitute Y = VX and dY/dX = X dV/dX + V :
X dV/dX + V = (2X - VX) / (6X - 5VX)
The equation becomes separable after some simplification:
X dV/dX + V = (2 - V) / (6 - 5V)
X dV/dX = (2 - V) / (6 - 5V) - V
X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)
X dV/dX = (4V - 4) / (6 - 5V)
- (5V - 6) / (4V - 4) dV = 1/X dX
Integrate both sides:
-5/4 V + 1/4 ln|4V - 4| = ln|X| + C
Extract a constant from the logarithm on the left:
-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C
-5/4 V + 1/4 ln|V - 1| = ln|X| + C
-5V + ln|V - 1| = 4 ln|X| + C
Get this back in terms of Y :
-5Y/X + ln|Y/X - 1| = 4 ln|X| + C
Now get the solution in terms of y and x :
-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C
With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C
Can someone help me with this question?
Answer:
1. Y
2. YX , YZ
3. X
4. XZ
A scuba diver is 30 feet below sea level. She then rises 30 feet. What is the scuba
diver's new position?
Answer:
The scuba diver is at sea level.
Step-by-step explanation:
Hi there!
We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.
This means she would be at sea level, not above or below.
You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.
I hope this helps!
HELP PLS! ;P
Find n.
A. 5√3
B. 5
C. 10√3/3
D. 10
Answer:
B
Step-by-step explanation:
tan(30)=n/(5*sqrt(3))
=> n=5
the speed of a bus is 40km per hour how much distance it cover in 2 hour 30minutes
plz
Answer:
100 km
Step-by-step explanation:
Speed = distance/time
=> Speed × time = distance
=> Distance = speed × time
=> Distance = (40 km/h) × 2.5 hours
=> Distance = 100 km.h/h
=> Distance = 100 km
help find the surface area of a cylinder with the height of 9 inches and base radius of 4
9514 1404 393
Answer:
104π in² ≈ 326.7 in²
Step-by-step explanation:
Put the given numbers in the surface area formula for a cylinder.
SA = 2πr(r +h)
SA = 2π(4 in)(4 in +9 in) = 104π in² ≈ 326.7 in²
Answer:
326.73
Step-by-step explanation:
You just have to plug this into the cylinder surface area formula, which is [tex]A=2\pi rh+2\pi r^{2}[/tex]. So solving this would be [tex]A=2\pi (4) (9) +2\pi (4)^{2}[/tex]. You can simply put that into your calculator, and you'll get 326.72564, which rounds to 326.73. Make sure to read your problem carefully in case it specifies what number to round to though.
A copy machine makes 168 copies in 5 minutes and 15 seconds.how many copies does it make per minute
4/5th
part of a concrete pillar was inside the water of a river if 2 m of the player was outside the water find the full height of the Pillar
Answer:
height =10
[tex] \frac{4}{5} h + 2 = h \\ h - \frac{4}{5} h = 2 \\ \frac{1}{5} h = 2 \\ h = 2 \times 5 = 10[/tex]
Does anyone know this and can help please
Answer:
[tex]\frac{y^7z^3}{x}[/tex]
Step-by-step explanation:
When variables have negative exponents, switch their positions.
[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]
simplify 5 - (3 a + 1) + 2 a
Step-by-step explanation:
5-3a-1+2a
5-1-3a+2a
4-1a
Simplify the expression
A. -5.1
B. - 4.21
C. 3.42
D. 5.1
Answer:
D. [tex] 5.1[/tex]
Step-by-step explanation:
[tex] \frac{ - 44.288 - 31.6}{ - 3.1(6 - 1.2)} [/tex]
➡️ [tex] \frac{ - 75.888}{ - 3.1 \times 4.8} [/tex]
➡️ [tex] \frac{24.48}{4.8} [/tex]
➡️ [tex] = 5.1[/tex]
can u tell ans of this 2pls
Answer:
hope it helps you........
Which of the expressions below have a value of 12? Select all that apply.
A) -4 X-3
B) 6 x 2
C) -6 X-2
D) 3 X-4
E) 12 x 1
Answer:
A, B, C, and E
Step-by-step explanation:
A) -4 X-3 = 12
B) 6 x 2 = 12
C) -6 X-2 = 12
D) 3 X-4 = -12
E) 12 x 1 = 12
the expressions that have a value of 12 are :
A, B, C, and E
Answer:
Lets find
[tex]\\ \rm\longmapsto -4(-3)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 6(2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto -6(-2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 3(-4)=-12\checkmark[/tex]
[tex]\\ \rm\longmapsto 12(1)=12\checkmark[/tex]
write down the next three terms of these number patterns 5;11;17;23
Answer:
29, 35, 41
Step-by-step explanation:
sequence is in the difference of 6
a football field is 120 yards long and 160feet wide. what is the area in square yards?
Answer:
6,400
Step-by-step explanation:
One yard equals 3 feet.
160/3=53.3333
120X53.3333=6400
If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with the prelim age
Answer: 30 degrees
This is the minimum amount of rotation.
Why this value? Well because 360/12 = 30
Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.
For a square, we can rotate it 90 degrees and we can say 360/4 = 90
So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).
So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.
I need help with this question!!!! Given directed line segment QS, find the coordinates of R such that the ratio of QR to RS is 3:5. Plot point R.
Answer:
R(2, -2)Step-by-step explanation:
Coordinates of Q and S are:
Q(8, -5), S(-8, 3)We need to find the coordinates of R such that:
QR : RS = 3 : 5Let R has coordinates (x, y):
x = 8 + 3/8(-8 - 8) = 8 - 6 = 2y = -5 + 3/8(3 + 5) = -5 + 3 = -2The point is R(2, -2)
Answer:
2,-2
Step-by-step explanation:
mathematics geniuses where are you ? help me answer this question please.
Step-by-step explanation:
There is 7 blocks that measure is 12.0-12.2
11 blocks that measure 12.2 to 12.4
18 blocks that measure 12.4 to 12.6
10 blocks that measure 12.6-12.8
4 blocks that measure 12.8 to 13.0
We can't find a mean by with Intervals so let find the midpoint of each interval,
12.1, 12.3, 12.5, 12.7, 12.9.
12.1 occurs 7 times so that equal 12.1 x 7=84.712.3 occurs 11 times so that equal 12.3 x 11=135.312.5 occurs 18 times so that equal 12.5x18=22512.7 occurs 10 times so that equal 12.7x10=12712.9 occurs 4 times 12.9×4=51.6Add up the products and divide them by 50
[tex]\frac{623.6}{50} = 12.472[/tex]
Standard Deviation is
0.23( it is alot of steps so I use a calculator to save time).
The interqualtie range is 0.4
162×(-92)-(-162)×(-5)-162×3
Answer:
-16200
Step-by-step explanation:
162×(-92)+(162)×(-810)×3
Step-by-step explanation:
[tex](162 \times ( - 92) + 162 \times ( - 5 \times - 162) \times 3 = (-14904 + 162 )\times( 810 \times 3) = (-14904+ 162) \times (2430) = - 14742\times 2430 = 378,756
please solve
if the breadth of rectangle in three fourth of it's length and perimeter is 140cm,find the length and breadth of rectangle
Let lebgth be x
Breadth=3x/4[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \rm\Rrightarrow 2(x+\dfrac{3x}{4})=140[/tex]
[tex]\\ \rm\Rrightarrow 2\left(\dfrac{4x+3x}{4}\right)=140[/tex]
[tex]\\ \rm\Rrightarrow 2\left(\dfrac{7x}{4}\right)=140[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14x}{4}=140[/tex]
[tex]\\ \rm\Rrightarrow 14x=140(4)[/tex]
[tex]\\ \rm\Rrightarrow 14x=560[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{560}{14}[/tex]
[tex]\\ \rm\Rrightarrow x=40[/tex]
Length=40cmBreadth=3(40)/4=120/4=30[linear equation 3+X=-2
Answer:
x = -5
Step-by-step explanation:
3+X=-2
Subtract 3 from each side
3-3+X=-2-3
x = -5
Answer:
-5
Step-by-step explanation:
1 Subtract 3 from both sides.
x=-2-3
2 Simplify -2 -3 to -5
x=-5
Luc has to read 3 novels and 12 short stories for his literature class. The professor will
choose one reading at random for the final exam. Find the probability that the professor
will choose a novel for the final exam. Express your answer as a) a fraction, and b) as a
decimal.
Show your work.
Help! :)
Answer:
Fraction: 1/5
Decimal: 0.2
Step-by-step explanation:
como escreve por extenso o número 380.210?
Answer: trescientos ochenta mil doscientos diez es,pero te ayude
Do the mathematics please. I will give a reward.
9514 1404 393
Answer:
p = -3/4b -3/4
Step-by-step explanation:
Vectors are perpendicular when their dot product is zero.
A·B = p(4) +b(3) -3(-1) = 4p +3b +3
We want this to be zero, so ...
4p +3b +3 = 0
4p = -3b -3
p = -3/4b -3/4 . . . . the value of p that makes A⊥B
4×..., biar jadi 100...
tolong ya kak...
Answer:
25
Step-by-step explanation:
4×25 =100
____________
Answer:
25
Step-by-step explanation:
4 × 25 = 100
100 ÷ 4 = 25
Hope this help :)
#Semangat_Belajar
2x-8=6 do addition or subtraction first. then rewrite the new equation and solve.
Answer:
x = 7
Step-by-step explanation:
2x - 8 = 6 (Given)
2x - 8 + 8 = 6 + 8 (Add 8 on both sides)
2x = 14 (Simplify)
2x/2 = 14/2 (Divide 2 on both sides)
x = 7 (Simplify)
A triangle has side lengths of (8s + 8) centimeters, (s +9) centimeters, and
(8t - 1) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answer:
Step-by-step explanation:
(16.2t+3.4u+2.9)cm
Step-by-step explanation:
A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm