Answer:
Slope = 12.000/2.000 = 6.000
x-intercept = 1/6 = 0.16667
y-intercept = -1/1 = -1.00000
Step-by-step explanation:
3. The diameter of a cylindrical column is 60cm and
its height is 4.2m
The cost of making it is £67.50 per cubic metre.
What is the cost of making it?
Answer:
£80.33
Step-by-step explanation:
The formula for the Volume of a cylinder = πr²h
The diameter of a cylindrical column is 60cm and its height is 4.2m
Converting the diameter to meter
100 cm = 1 m
60 cm = x
Cross Multiply
100 × x = 60 × 1
x = 60/100
x = 0.6m
The diameter of the cylinder = 0.6m
Radius = Diameter/2
Radius = 0.6m/2
Radius = 0.3m
Volume of a cylinder = πr²h
= π × 0.3² × 4.2
= 1.18752 m²
Approximately = 1.19 m²
The cost of making it is £67.50 per cubic metre. What is the cost of making it?
The volume of the cylindrical column = 1.19 m²
Hence:
1m² = £67.50
1.19m² = x
Cross Multiply
x × 1m² = 1.19 m² × £67.50
x = 1.19 m² × £67.50/1 m²
x = £ 80.325
Approximately = £80.33
Therefore, the cost of making the cylindrical column = £80.33
A pet store has 8 dogs, 12 cats, and 3 rabbits. The ratio 8:23 compares
Answer:
Step-by-step explanation:
the number of dogs to the number of total numbers.
8 dogs: 23 total animals.
means 8 of the 23 animals are dogs.
The ratio 8:23 represents 8 dogs out of total 23 animals.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Here, Total number of animals = 8 + 12 + 3
= 23 animals
Ratio given = 8 : 23
in which 8 represents the number of dogs and 23 represents total number of animals.
Thus, The ratio 8:23 represents 8 dogs out of total 23 animals.
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The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).
Answer:
Its reflected over the y axis
what is m
picture below!!Answer:
Please check the explanation.
Step-by-step explanation:
We know that a pentagon is a polygon with 5 sides and 5 angles.
Given the polygon with 5 angles.
A pentagon is a polygon with 5 sides and 5 angles.
The angles of the given pentagon are:
∠P = (4x + 2)°
∠Q = 132°
∠R = (4x - 10)°
∠S = (5x - 11)°
∠T = 128°
We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.
Therefore,
∠P + ∠Q + ∠R + ∠S + ∠T = 540°
(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°
group similar elements
4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
simplify
13x + 241 = 540
subtract 241 from both sides
13x + 241 - 241 = 540 - 241
13x = 299
divide both sides by 13
13x/13 = 299/13
x = 23
Thus, the value of x = 23
Therefore, the measure of angle ∠S is:
m∠S = (5x - 11)°
= (5(23) - 11)°
= (115 - 11)°
= 104°
Thus,
m∠S = 104°
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
[tex]-4 ( x + 1/16 )[/tex]
Answer:
-4x - 1/4
Step-by-step explanation:
-4(x + 1/16)
-4x - 1/4
6358 was rounded to the nearest one.
What is the lower bound?
Complete each statement with a number that makes the statement true.
_____ < 7°C
Do not include units (°C) in your answer.
copied for free from openupresources.org
Select one:
15
8
4
10
Answer:
4
Step-by-step explanation:
the answer is: 4
cause 4 is less than 7
A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.
It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
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PLEASE HELP ME ASAP!!! I REALLY NEED HELP :(
Answer:
See below
Step-by-step explanation:
GivenR is the midpoint of SQ and PTTo proveΔPQR ≅ ΔTSRSolutionR is the midpoint of SQ
SR = 1/2SQ and RQ = 1/2SQ ⇒ SR ≅ RQR is the midpoint of PT
PR = 1/2PT and RT = 1/2PT ⇒ PR ≅ RTSQ and PT intersect at point R ⇒
∠PRQ ≅ ∠TRS as vertical anglesTriangles PQR and TSR have two sides and the included angle congruent, therefore:
ΔPQR ≅ ΔTSR,as per SAS congruence postulate
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent1,092 inches to yards
Answer:
Step-by-step explanation:
It would be 30.33 repeating.
Answer:
30.33 yards
Step-by-step explanation:
36 inches to a yard, so divide the length value in yards by 36.
1092 / 36 = 30.33 yds
If someone could please help me I really need help me with geometry
Answer:
VU = 8
KL = 19
ΔS = 120°
ΔF = 130°
HOPE IT HELP
PLZ FOLLOW ME
200 people buy plane tickets.
92 males buy tickets
30 of the males buy Business tickets
62 females buy Economy tickets
A total of 44 people buy Business tickets.
A total of 60 people buy Premium tickets.
How many males buy Premium tickets?
You must show all your working.
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
3x+2y=5
What is the y and x intercept and can i get a step by step explanation
Answer:
the slope is -3/2, and the y-intercept is 5/2.
Step-by-step explanation:
3x + 2y = 5
putting it into a y = mx+b form,
2y = -3x + 5
y = -3/2x + 5/2
the slope is -3/2, and the y-intercept is 5/2.
Answer:
y-intercept= 2.5
x- intercept= 1.666666666..... or 5/3
Step-by-step explanation:
1. Move variable to other side.
3x+2y= 5
-3x -3x
2y= -3x+5
2. Divide each side by 2.
-3/ 2 = -1.5
5/2 = 2.5
y= 1.5x+2.5
y= mx+b
b= y-intercept
b=2.5
3. Replace y with 0 to solve for x intercept.
3x+ 2 x 0 = 5
3x= 5
5/3 = x
PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!
When the original price and discounted prices are known, how can we find the percent markdown?
Step-by-step explanation:
The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.
Evaluate mn when m=8 and n= 1/2
Answer:
4
Step-by-step explanation:
you just multiply 8(m) by 1/2(n)
Plz help I don’t understand how to do this problem
Answer:
a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2Step-by-step explanation:
Given function:
g(t) = 3t² - 5t + 4a) g(2)
g(2) = 3*2² - 5*2 + 4 = 3*4 - 10 + 4 = 12 - 6 = 6b) g(t - 2)
g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 = 3(t² - 4t + 4) - 5t + 10 + 4 = 3t² - 12t + 12 - 5t + 16 = 3t² - 17t + 28c) g(t) - g(2)
g(t) - g(2) = 3t² - 5t + 4 - 6 = 3t² - 5t - 2What is the measure of x in the diagram below?
1.) 14
2.) 118
3.) 13
Answer:
8x+14=118
-14 -14
8x=104
/8 /8
x=13
answer: 13 your welcome
Answer:
13
Step-by-step explanation: 118=8x+14 bc opposite angles are equal to one another. solve for x and you get 13. hope this helps
20% of____ is 15 ????
Answer:
The Correct Answer is 3
Step-by-step explanation:
The graph represents the amount of money Sal earns for babysitting.
Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)
Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x
Answer: d, a, and c
Step-by-step explanation:
Part(A)
The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.
Part(B),
Yes. the line passes through the origin. The correct option is A.
Part(C),
The linear equation represented by the graph is y = 8x. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).
Part(A),
The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.
Part(B),
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 8 - 4 ) / ( 1 - 0.5 )
Slope = 4 / 0.5
Slope = 40 / 5
Slope = 8 hours
The y-intercept is calculated as,
y = mx + c
16 = ( 2 x 8 ) + c
c = 16 - 16
c = 0
Hence, the line passes through the origin.
Part(C),
The equation of the line will be written as,
y = mx + c
y = 8x + 0
y = 8x
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Brianna bought snacks for her team's practice. She bought a bag of
oranges for $2.63 and a 8-pack of juice bottles. The total cost before
tax was $16.07. Write and solve an equation which can be used to
determine x, how much each bottle of juice costs?
Answer:
$1.68
Step-by-step explanation:
The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68
Hope this help :)
Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.
Answer: .10d+.25q<_ 4
Step-by-step explanation:
d= dimes and q = quarters
dimes are worth .10 and quarters are worth .25
The inequality for the given situation is
0.1d + 0.251 ≤ 4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
10 dimes = 1 dollar
1 dime = 0.1 dollar
4 quarters = 1 dollar
1 quarter = 0.25 dollar
Now,
The maximum amount is $4.
So,
0.1d + 0.251 ≤ 4
Thus,
The inequality is 0.1d + 0.251 ≤ 4.
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Identify the y-intercept of the graph of the equation.
Answer:
3
Step-by-step explanation:
the y intercept is were x=0
Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *
Answer:
V≈565.5cm³ is the answer
solve for x (pls help :,,))
Answer:
id say 4
Step-by-step explanation:
A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:
Answer:
£407.20Step-by-step explanation:
Deposit = £2337Interest = 5.5% pa compound Time = 3 yearsSavings:
2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.20Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.
Answer:
it hard too
Step-by-step explanation:
it's hard also so
Answer: 180
an = a1 + (n - 1)d
a1 = 6 [1st term]
d = 4 [common difference]
n = 30 [30th term]
a30 = 6 + (30 - 1)*6 = 180
Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
