Answer:
a. External radius is 0.5 m.
b. Internal radius is 0.45 m.
c. Volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
Step-by-step explanation:
a. It can be observed that the diameter of the pipe is 1 m.
External radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
External radius = 0.5 m
b. Internal radius of the pipe can be determined by;
Internal radius = [tex]\frac{internal diameter}{2}[/tex]
But,
Internal diameter = 1 m - (2 x 0.05 m)
= 1 m - 0.10 m
= 0.9 m
Internal diameter = 0.9 m
So that,
Internal radius = [tex]\frac{0.9}{2}[/tex]
= 0.45
Internal radius = 0.45 m
c. Volume of concrete required = [tex]\pi[/tex][tex]r_{e} ^{2}[/tex]h - [tex]\pi[/tex][tex]r_{i} ^{2}[/tex]h
where [tex]r_{e}[/tex] is the external radius, and [tex]r_{i}[/tex] is the internal radius.
Volume of concrete required = [[tex]\frac{22}{7}[/tex] x [tex](0.5)^{2}[/tex] x 2.5] - [[tex]\frac{22}{7}[/tex] x [tex](0.45)^{2}[/tex] x 2.5]
= 1.9643 - 1.5911
= 0.3732
The volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
(4a^15b)^3 there is a photo to go with it
Answer:
I believe it's option 3
explanation: you times inside by 3
Answer:
option 1.
Step-by-step explanation:
(4a⁵b)³ = 4³ * (a⁵)³ * b³
[tex]= 64 *a^{5*3} * b^{3}\\\\= 64a^{15}b^{3}[/tex]
2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are there in the class?
Answer:
There are 8 males in the class and 42 females.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of females.
y is the number of males.
Class of 50 students
This means that [tex]x + y = 50[/tex]
The number of females is 2 more than 5 times the number of males.
This means that [tex]x = 5y + 2[/tex]
So, finding y, the number of males:
[tex]x + y = 50[/tex]
[tex]5y + 2 + y = 50[/tex]
[tex]6y = 48[/tex]
[tex]y = \frac{48}{6}[/tex]
[tex]y = 8[/tex]
Females:
[tex]x = 5y + 2 = 5*8 + 2 = 42[/tex]
There are 8 males in the class and 42 females.
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
it would be the second answer
Step-by-step explanation:
What is the slope of the line through (-4, 2) and (3,-3)?
Choose 1 answer:
A: -5/7
B: 7/5
C: 5/7
D: -7/5
Answer:
A
Step-by-step explanation:
PLEASE HELP, QUICK
10 POINTS
Answer:
x = 1
y = 10
(1,10)
hope that helps :)
What is the slope of the line below?
Answer:
37
Step-by-step explanation:
I saw it there in the picture
Answer:
m=2
Step-by-step explanation:
use the slope formula m=y2-y1/x2-x1
Points: (0,4) (-2,0)
m=0-4/ -2-0
m=-4/-2
m=2
Bob drove 65 miles per hour for 3 hours, how far did he drive
Answer:
195 miles
Step-by-step explanation:
Answer:
195 miles.
Step-by-step explanation:
In 1 hour Bob drove = 65 miles
In 3 hours, Bob drove = 3 * 65 = 195 miles.
Hope it will help :)
If 45% of a number, n, is 225, what is 74% of n?
Answer: 375
hope this helps :D
Step-by-step explanation:
225/45=5
5=1%
5 times 74 equals 375
Solve: –3x – 7 < 11
Α) α
X > -2
B
2 <
2
С
x < -2
D
2 > -6
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x-7<11 Equation/Question
Step 2
-3x-7<11 Simplify
-3x-7<11
Step 3
-3x-7<11 Add
-3x<18
Step 4
-3x<18 Divide by 3
answer
x>-6
Hope this helps
The aquarium has 198 guppies, angelfish and catfish altogether.
There are 4 times as many guppies as angelfish. There are 6 more
angelfish than catfish.
How many catfish are there?
Answer:
Number of catfish = 28
Step-by-step explanation:
Let the number of catfish = c
Number of angle fish = c + 6
Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24
Total fishes = 198
c + c + 6 + 4c + 24 = 198 {Combine like terms}
c + c +4c + 6 + 24 = 198
6c + 30 = 198 {Subtract 30 from both sides}
6c = 198 - 30
6c = 168
c = 168/6 {Divide both sides by 6}
c = 28
Please help me answer this
Answer:
Brand A
Step-by-step explanation: Brand A because y=50x+100 and that equals 150x. For brand B y=25x+200 and that equals 225x. So Brand A is lower.
△GFH is similar to △CDE. Identify the corresponding congruent angles.
Answer:
∠G ≅ ∠C
∠F ≅ ∠D
∠H ≅ ∠E
Step-by-step explanation:
.
If the cells continue to double every 5 minutes, how
long will it take to fill 3 additional bottles of the same
Size?
I minutes
Done
Intro
Answer:
10 min.
Step-by-step explanation:
if you have 4 B's and 2 A's then what is your GPA
Answer:
3.33
Step-by-step explanation:
Solve for X
X/3-X/4=X/6
[tex] \huge \blue{solution}[/tex]
[tex] \bold \red{ \frac{x}{3} - \frac{x}{4} = \frac{x}{6} }[/tex]
[tex] \bold \red{ \frac{4x + 3( - x)}{3 {2}^{2} } = \frac{x}{6} }[/tex]
[tex] \bold \red{ \frac{4x - 3x}{3 {2}^{2} } = \frac{x}{6} }[/tex]
[tex] \bold \red{\frac{x}{3 {2}^{2} } = \frac{x}{6} }[/tex]
[tex] \bold \red{ - x = 0}[/tex]
[tex] \bold \red{x = 0}[/tex]
if i ate 1/4 of a pizza. what fraction of the pizza is left?
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 1:8
Surface area: 6
volume: 18
Surface area: ?
volume: ?
Answer:
SA:48 V:144
Step-by-step explanation:
What is 150% of 625? Solve using an equation.
Answer:
937.5
Step-by-step explanation:
150%=150/100
Equation:150/100 x 625
937.5
Easy math Can someone please help me
Answer:
4.2 cm
Step-by-step explanation:
Given
Area of parallelogram (A) = 4.2 cm²
base (b) = 1.75 cm
Height (h) = ?
We know
A = b * h
4.2 = 1.75 * h
h = 4.2 / 1.75
H = 2.4 cm
Hope it will help
To the nearest unit, what is the perimeter of this pentagon?
5
3
2
1
2
4
-6 -5 -4 -3 -2 -1 0
-1
2
-3
-4
-5
sh
27 units
0 29 units
0 30 units
0 34 units
Answer: 27 units
Step-by-step explanation: I just did the test and Got it right
10.
(02.01 LC)
Simplify 8 over negative 4 ÷ negative 3 over 9 . (5 points)
6
-6
12
-12
Answer:
The answer is 6
Step-by-step explanation:
First nothing us negative, so multiply 8/4 times 9/3,which is 72/12=6, 6×12 is 72.The reason why it is 9/3 instead of 3/9 is because you are dividing so KCF, keep change flip.
Answer:
Positive 6
Step-by-step explanation:
What you do is:
8 x 9 = 72
-4 x (-3) = 12
72 / 12 = 6
Hope this helps!
- 28allemm
Solve for h. 6+h+8=24
Answer:
the answer to your question is h = 10
Answer:
h<-20We think you wrote:
-24>6/7(h-8)
This deals with linear inequalities.
Overview
Steps
Topics
Links
1 solution(s) found
See steps
Step by Step Solution
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-24-(6/7*(h-8))>0
Step by step solution :
STEP
1
:
6
Simplify —
7
Equation at the end of step
1
:
6
-24 - (— • (h - 8)) > 0
7
STEP
2
:
Equation at the end of step 2
6 • (h - 8)
-24 - ——————————— > 0
7
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 7 as the denominator :
-24 -24 • 7
-24 = ——— = ———————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-24 • 7 - (6 • (h-8)) -6h - 120
————————————————————— = —————————
7 7
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
-6h - 120 = -6 • (h + 20)
Equation at the end of step
4
:
-6 • (h + 20)
————————————— > 0
7
STEP
5
:
5.1 Multiply both sides by 7
5.2 Divide both sides by -6
Remember to flip the inequality sign:
Solve Basic Inequality :
5.3 Subtract 20 from both sides
h < -20
Inequality Plot :
5.4 Inequality plot for
-0.857 X - 17.143 < 0
One solution was found :
h < -20Taylor will order one t-shirt for each person who attends her family's reunion. The cost is
$8 per t-shirt plus a one-time printing fee of $40.00. This can be represented by the
equation c = 8n + 40, where c represents the total cost of the shirts and n represents
the number of shirts ordered. If the family can spend no more than $600.00 on t-shirts,
what is the maximum number they can order?
B) 75
C) 70
A) 80
D) 15
Answer:
C) 70
Step-by-step explanation:
Since they can only spend a maximum of $600, we can fill that in for c. Now, we can solve the equation for n.
600 = 8n + 40
~Subtract 40 to both sides
560 = 8n
~Divide 8 to both sides
70 = n
Best of Luck!
I really need help on this please and thank you in advance
Answer:
Step-by-step explanation:
first, your answer will be negative,
x^12*(2y)^3=x^12(8y^3)
denominator= -x^2*y^12
after we divide them=- 8 x^10/y^9
choice E
5 divided by 4 in fractions one with a whole and one without
Plsss help I don’t want an f
Answer:
5/4 or 1 1/4
Step-by-step explanation:
w+6=2(w-6) what is the answer?
Answer:
w = 18
Step-by-step explanation:
w+6 = 2(w-6)
w+6 = 2w-12
2w-w = 6+12
w = 18
hope it helps
Answer:
[tex] \huge \boxed {w = 18}[/tex]
Step-by-step explanation:
Distribute 2 in the bracket.
[tex]w + 6 = 2w - 12[/tex]
A constant and variable cannot add up or subtract each others. Therefore, move the same term to the same side.
[tex]12 + 6 = 2w - w \\ 18 = w[/tex]
Answer Check
Substitute w = 18 in the equation.
[tex]18 + 6 = 2(18) - 12 \\ 24 = 36 - 12 \\ 24 = 24[/tex]
Therefore w = 18 is the correct answer.
Select all the correct answers.
Which values of x are solutions to this equation?
-1/2+ 5x = 8
11.5
-1.5
-2
-8
8
3
Answer:
x = 1.7
Step-by-step explanation:
Given
-½ + 5x = 8
Required
Find x
-½ + 5x = 8
Multiply both sides by 2
-1 + 10x = 16
Collect like terms
10x = 16 + 1
10x = 17
Divide both sides by 10
x = 1.7
Answer:
8, and 2
Step-by-step explanation:
(btw the three in the question is suppose to be a 2)
but those two are the only ones that you can add and the equation still equal 8.
<3
12. What is the value of the y-coordinate of the solution to the system of equations x - 2y = 1 and x + 4y = 7?
(1) 1
(2) -1
(3) 3
(4) 4
Answer:
(3,1)
value x is 3
value y is 1
PLEASE HELP MEEE ASAP THIS IS DUR SOON
Answer:
I am pretty sure it is A because it is -5 and then +2
Step-by-step explanation:
I hope this is right
I hope this helps you...
Answer:
option A
Step-by-step explanation:
the arrow goes from 0-5 then another from 5-3
You and your family went out to eat at The Cheesecake Factory. The bill is $120, you want to leave an 18% tip and have to pay a 6% tax. What is the total you have to pay for the everything?
Find the tip:
$120 * 18% =
$120 * 0.18 =
$21.60
Find the tax:
$120 * 6% =
$120 * 0.06 =
$7.20
Find the answer:
$120 + $21.60 + $7.20 =
$148.80