Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
Pure mathematicsssss
Answer:
(i) a = 2
b = -1
c = -1
(ii) x= 1
Step-by-step explanation:
Step 1: Factorise
[tex]f(x) = 2(x^{2} -2x+\frac{1}{2})[/tex]
Step 2: Use the complete square method.
[tex]f(x)=2(x^{2} -2x+(\frac{-2}{2})^{2} + \frac{1}{2} - (\frac{-2}{2})^{2} )[/tex]
Step 3: Have it to [tex]a(x+b)^{2} +c[/tex]
[tex]f(x)=2((x-1)^{2} -\frac{1}{2} )\\ = 2(x-1)^{2} -1[/tex]
Line of symmetry:
To find line of symmetry, we use -b/2a formula.
Based from [tex]2x^{2} -4x+1[/tex]:
a=2, b=-4
-b/2a = -(-4)/2(2) = 1
Answer ASAP Please!
cos(13°) correct to four decimal places is:
A:0.2311
B:0.2312
C:0.9734
D:0.9735
E:0.9744
Answer:
E:0.9744
Step-by-step explanation:
Answer: E) 0.9744
Explanation:
This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5
find the surface area
Answer:
160π in²
Step-by-step explanation:
The formula for the surface area of a cylinder is: A = 2πrh + 2πr²
From here we can plug in what we know (r = 4, h = 16):
A = 2π(4)(16) + 2π(4²)
A = 128π + 32π
A = 160π in²
The surface area of a cylinder is 160π in².
What is the surface area of a cylinder?The surface area of a cylinder is also called the total surface area of the cylinder.
Suppose that:
Radius of the considered cylinder = 'r' units
Height of the considered cylinder = 'h' units
The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
From here we can plug in what we know that,
(r = 4, h = 16):
A = 2π(4)(16) + 2π(4²)
A = 128π + 32π
A = 160π in²
Hence, the surface area of a cylinder is 160π in².
Learn more about lateral surface area of a cylinder here:
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#SPJ5
the product of a number and four, increased by one, is at least 7.
Answer:
4/6
Step-by-step explanation:
a number which means "x" or u can name any variable u want
so the product of a number and four means
X×4
the increased by one or plus one
X×4+1
is at least 7
X(4)+1=7
4x+1=7
4x=7-1
4x=6
x=4/6
i guess so
lemme know if I'm right
Answer:
x≥3/2
Step-by-step explanation:
since we know that there is an unknown number being multiply with four, we're going to represent it as x:
(x*4)
It then multiply it with one:
(x*4)+1
And we know that it has to be 7 or greater than that:
(x*4)+1≥7
Now, we're going to do the math:
4 multiply with x is 4x
(x*4)+1≥7= 4x+1≥7
then, we're going to toss one to another side and minus it with seven
4x+≥7-1 = 4x+≥6
afterward, we divide everything by four to find what x is:
(4x+≥6)/4 = x≥3/2
Find the slope of the line that passes through the points (10,-19) and (12,-20).
Answer:
slope = -1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-20 - (-19) / 12 - 10
-1/2
If x/y = 2/3 what is the value of 6x/y
If x/y = 2/3, then all we have to do is multiply x/y by 6. Another way to look at this (the same thing) would be to see 6 as 6/1, so 6 is multiplied by x, and y is multiplied by 1.
But, all the same, you multiply 6 by x/y and you get (2·6)/3 = 12/3 = 4
On circle C, points A and B are separated by an arc whose length is 18 centimeters. If the radius of circle Ciss
centimeters, what is the measure of central angle, e, to the nearest degree?
Answer:
130
Step-by-step explanation:
Arc length = 2*pi*r*(central angle)/360
18=2*pi*8*(central angle)/360
Central angle=130
please help with me
Answer:
217
Step-by-step explanation:
53 + 44 + 46 = 143
360 - 143 = 217
A boat travels 12 km upstream and 40 km downstream in 8 hours. It can go 16 km upstream and 32 km downstream in the same time. Find the speed of the boat in still water and the speed of the stream.
the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h
Let's define the variables:
B = speed of the boat in still water.
S = speed of the stream.
When the boat travels downstream, the total speed of the boat will be equal to the sum of the speed of the stream and the speed of the boat in still water:
speed = B + S
When the boat goes downstream, the speed will be:
speed = B - S
Now, also remember the relation:
speed*time = distance.
The given information is:
In 8 hours the boat can:
go 12 km upstream and 40km downstream.
We now need to define another variable, T, as the time that the boat travels upstream.
Then we can write this as:
12km = (B - S)*T
If the boat travels T hours upstream, and travels for a total of 8 hours, then the amount of time that travels downstream is 8h - T, then we can write:
40km = (S + B)*(8h - T)
Similarly, when we have:
"it can go 16 km upstream and 32 km downstream in the same time."
we can define a new variable T', and write:
16km = (B - S)*T'
32km = (S + B)*(8h - T')
Then we have a system of 4 equations:
16km = (B - S)*T'
32km = (S + B)*(8h - T')
40km = (S + B)*(8h - T)
12km = (B - S)*T
And we need to solve this for S and B.
To do it, we need to isolate one of the variables in one of the equations.
Let's isolate T in the last equation:
T = 12km/(B - S)
now we can replace that in the third equation to get:
40km = (S + B)*(8h - 12km/(B - S))
So now we have 3 equations:
16km = (B - S)*T'
32km = (S + B)*(8h - T')
40km = (S + B)*(8h - 12km/(S - B))
Now we need to do the same thing, this time let's isolate T' in the first equation and replace it in the second one:
T' = 16km/(B - S)
Replacing it in the second equation we get:
32km = (S + B)*(8h - T')
32km = (S + B)*(8h - 16km/(B - S))
So now we have two equations:
40km = (S + B)*(8h - 12km/(B - S))
32km = (S + B)*(8h - 16km/(B - S))
Let's simplify these:
40km = 8h*(S + B) - 12km*(S + B)/(B - S)
32km = 8h*(S + B) - 16km*(S+ B)/(B - S)
Now we can multiply both equations by (B - S) to get:
40km*(S - B) = 8h*(S + B)*(B - S) - 12km*(S + B)
32km*(S - B) = 8h*(S + B)*(B - S) - 16km*(S+ B)
Let's keep simplifying this:
40km*(B - S) + 12km*(S + B) = 8h*(S + B)*(B - S)
32km*(B - S) + 16km*(S+ B) = 8h*(S + B)*(B - S)
Now we get:
52km*B - 28km*S = 8h*(S^2 + B^2)
48km*B - 16km*S = 8h*(S^2 + B^2)
Notice that the right side of these equations is the same thing, then we can write:
52km*B - 28km*S = 48km*B - 16km*S
(52km - 48km)*B = (28km - 18km)*S
4km*B = 10km*S
B = (10/4)*S
B = (5/2)*S
Now we can replace this in one of our two equations, let's use the first one:
48km*B - 16km*S = 8h*(S^2 + B^2)
48km*(5/2)*S - 16km*S = 8h*( S^2 + ( (5/2)*S)^2)
Now we can solve this for S
104km*S = 8h*( S^2 + 25/4*S^2)
104km*S = 8h*(29/4*S^2) = 48h*S^2
104km*S = 48h*S^2
dividing at both sides by S we get:
104km = 48h*S
104km/48h = S = 2.167 km/h
And using B = (5/2)*S
We can find the speed of the boat:
B = (5/2)*2.167 km/h = 5.418 km/h
Then:
the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h
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The total number of cupcakes soldduring 5 days was 2087. The number of cupcakes sold by the shop on Thursday was 3 times the cupcakes sold on Monday. How many cupcakes were sold on Thursday?
Answer:
1252
Step-by-step explanation:
We're assuming that the same amount of cupcakes were sold each day.
2087/5 = 417.4
417.4 x 3 = 1252.2
Since we can't sell fractions of a cupcake, 1252 were sold on Thursday.
i need B.
EMERGENCY THANK YOU VERY MUCH!!!
Answer:
A. Mean = 9.7 (take all the numbers and divide by 10)
Mode = 12
Range = 5
B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined
[tex] \frac{5}{5 \sqrt{6 + 2 \sqrt{3} } } \times ( \frac{1}{5 \sqrt{3} } + \frac{3 \sqrt{2} }{2 \sqrt{3} } - \frac{2 \sqrt{3} }{3 \sqrt{2} } ) = [/tex] ....................
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 (x+4) 2 x+4 x=−16 =48 =±12 or x=8 Step 1 Step 2 Step 3 Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 (x+4) 2 x+4 x=−16 =48 =±12 or x=8 Step 1 Step 2 Step 3
From the calculation above, Dave may have jumped the expression
[tex](x+4)^2= 144[/tex]
Given the expression solved by Dave from step 1 as;
[tex]\dfrac{1}{3}(x+4)^2&=48[/tex]
In order to determine what Dave would have written, we will solve the expression above as shown
[tex]\dfrac{1}{3}(x+4)^2&=48\\(x+4)^2 = 3*48\\(x+4)^2 = 144 ..............eqn \ 2\\[/tex]
Take the square root of both sides
[tex]\sqrt{(x+4)^2} =\pm\sqrt{144}\\x+4=\pm12[/tex]
Hence from the calculation above, Dave may have jumped the expression in equation 2 as shown below;
[tex](x+4)^2= 144[/tex]
Learn more on radical equations here: https://brainly.com/question/20931859
Answer:
previous answer is correct
Step-by-step explanation:
please help me its hard
Answer:
1
Step-by-step explanation:
16-9=5t+2t
7=7t
1=t
Answer:
t = 1
Step-by-step explanation:
16 - 2t = 5t + 9
=> 16 - 2t - 9 = 5t
=> 16 - 9 = 5t + 2t
=> 7 = 7t
=> 7/7 = t
=> 1/1 = t
=> 1 = t
Geometry, please answer question ASAP
Answer:
Option A
Step-by-step explanation:
first calculate side b
which is 35.8
Using 2 lengths, calculate Angle G
OPTION A :)find X. please I need help asap
Answer:
5.5
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
11*2 = x*4
22 = 4x
Divide each side by 4
22/4 = 4x/4
11/2 =x
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
Answer:
please see the steps in the picture
Last oneeeee!!!! :)
Answer:
(0, 3)
Step-by-step explanation:
(-4+4)/2 , (7-1)/2
0/2 , 6/2
0, 3
Answer:
(0,3)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
( -4+4)/2 = 0/2 =0
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
( 7+-1)/2 = 6/2 =3
(0,3)
The difference of two numbers is 12. If the greater number is three times the smaller one, find the numbers.
Answer:
Let the two numbers be X
The great number is X and the smaller number is 3X
X=3X
X-3X=12
-2X=12
X=12/-2
X=-6
The other number =3*6=18
2 numbers to find are a and b
We have: a - b = 12; a = 3b
=> a = 18; b = 6
what are irrational numbers?
Step-by-step explanation:
Any real number that cannot be expressed as the quotient of integers
I HOPE THE DAY GOES GREAT.
Could someone plz help
Answer:
The Answer would be 166
Step-by-step explanation:
From 115 to 132 is + 17
From 132 to 149 is + 17
So 149 + 17 = 166
Therefor your answer is 166
8. What is the solution to 4(1/2x+7)=12?
Answer:
x=-8
Step-by-step explanation:
4(1/2x+7)=12
Divide each side by 4
4/4(1/2x+7)=12/4
(1/2x+7)=3
Subtract 7 from each side
1/2x+7-7=3-7
1/2x = -4
Multiply each side by 2
1/2x*2 = -4*2
x = -8
Answer:
-8
Step-by-step explanation:
Divide both sides by 4 which will give you 1/2x+7=3
Then multipy both sides by 2 which will then give you x+14=16
Then move the constant = x=6-14
6-14 is -8 which will give you x=-8
given m||n, find the value of x
Step-by-step explanation:
3x+5+x-25=180°
4x=180°+20
x=50
Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.
Knowing this, we can add the two angles together and they should equal 180:
(3x + 5) + (x - 25) = 180
4x - 20 = 160
4x = 160
x = 40
If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.
What is the solution for z?
24=z/0.6?
Answer:
[tex]z=14.4[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]24=\frac{z}{0.6}[/tex]
Use inverse operations to solve this equation. Multiply both sides of the equation by (0.6) to undo the division of (0.6).
[tex]24=\frac{z}{0.6}[/tex]
[tex](0.6)(24)=z[/tex]
Simplify,
[tex](0.6)(24)=z[/tex]
[tex]z=14.4[/tex]
sinplify by using properties (-2/9) × 1/7 - 3/14 × 1/9 + (-2/9) × 1/14
Answer:
should be -1/14
Step-by-step explanation:
18-3×5+32÷4
USE BODMAS RULE
the answer should come 11
Answer:
B-bracket
O-of
D-division
M-multiplication
A-addition
S-subtraction
Step-by-step explanation:
18-3×5+32÷4
18-3×5+8 (by dividing 32 by 4 = 8)
18-15+8(by multiplying 3×5=15)
18-7( by -15 +8= 7 )
11
hence proved
11 is the answer by BODMAS rule .
hope this helps you
mrk me braniliest
Express 250g as a ratio of 2 kilograms
PLEAE help with this
Answer:
x = 67°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for x , that is
x = 180° - (38 + 75)° = 180° - 113° = 67°
20° + 2pº
70°
p =
degrees
[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
Graph the line that passes through the points (-1,-6) and (-8,8) and determine the equation of the line.
Answer:
y = -2x-8 ------> the equation of the line
Step-by-step explanation:
y = mx + b
8 = -2(-8)+b
= 16 + b
-16 -16
-----------
-8 = b
y^2 - y^1 / x^2 - x^1
= 8-(-6) / -8-(-1)
= -14/7
= m = -2
Final answer: y = -2x-8
Answer: 2x - 7y - 40 = 0
Step by step explanation:
(-1,-6) (-8,-8)
Slope (m) = y-y/x-x
m = (-8- -6)/(-8 - -1)
m = 2/7
y-y=m(x-x). Use one of the points: (-1,-6)
y - - 6 = 2/7 (x - - 1)
y+6=2/7(x+1)
y+6=2/7x+2/7
Multiply both sides by 7
7y+42=2x+2
2x—7y-40=0
Standard form =
