Answer:
24 m³
Step-by-step explanation:
We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .
Volume of one unit :-
[tex]\rm\implies Volume_{one\ unit } = 1m^3 [/tex]
By Unitary Method :-
Volume of two cubes , will be :-
[tex]\rm\implies Volume_{two\ unit } = 2m^3 [/tex]
Volume of one layer :-
[tex]\rm\implies Volume_{one\ layer } = 4m^3 [/tex]
Volume of six layers :-
[tex]\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3} [/tex]
x+3/2 + (x-1) = 4/5
Answer:
x = [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Given
x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
10x + 15 + 10(x - 1) = 8
10x + 15 + 10x - 10 = 8
20x + 5 = 8 ( subtract 5 from both sides )
20x = 3 ( divide both sides by 20 )
x = [tex]\frac{3}{20}[/tex]
x + 3/2 + x - 1 = 4/5
Collect the same terms
x + x + 3/2 - 1 = 4/5
2x + 3/2 - 2/2 = 4/5
2x + (3 - 2)/2 = 4/5
2x + 1/2 = 4/5
2x + 0.5 = 0.8
Subtract both sides 0.5
2x + 0.5 - 0.5 = 0.8 - 0.5
2x + 0 = 0.3
2x = 3/10
Divide both sides by 2
2x ÷ 2 = ( 3/10 ) ÷ 2
x = 3/10 × 1/2
x = 3/20
_________________________________
Check :3/20 + 3/2 + ( 3/20 - 1 ) = 4/5
3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5
(3 + 30)/20 + (3 - 20)/20 = 4/5
33/20 - 17/20 = 4/5
(33 - 17)/20 = 4/5
16/20 = 4/5
4 × 4 / 4 × 5 = 4/5
4/5 = 4/5
Thus we found the correct value of x .
And we're done...
Il y a 5ans Thomas avait 5 fois l'âge de benoit aujourd'hui Thomas a 3 fois l âge de Benoît quel est l'âge de benoit
Répondre:
Benoit a 10 ans
Explication étape par étape :
Laisser :
Âge de Thomas = x
Benoit age = y
il y a 5 ans :
x - 5 = 5 (y - 5)
x - 5 = 5y - 25 - - (1)
Aujourd'hui :
x = 3y - - (2)
Mettez x = 3y dans (1)
3 ans - 5 = 5 ans - 25
Recueillir des termes similaires
3 ans - 5 ans = - 25 + 5
-2a = - 20
Diviser les deux côtés par - 2
y = 10
Need help with these 3 problems!
Answer:
1. 25
2. 44
3. 9
Step-by-step explanation:
Answer:
25 students44 cents9 eggsStep-by-step explanation:
If there are 3 cookies for each student and 75 cookies in total, then the equation would be 75 ÷ 3. that equals 2588 total for 2 cans. Divide 88 by 2 for the unit price. That makes 44 cents. 45 eggs total, 5 layers. Divide 45 by 5. That makes 9 eggs per layer.You bought 4 boxes of facial tissue for $3.79. which is the better buy than the one you made?
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
For f(x) = 6x + 20, what is the value of x for which f(x)= -4 ?
Answer:
x = -4
Step-by-step explanation:
Plug in -4 into the function and solve for x:
f(x) = 6x + 20
-4 = 6x + 20
-24 = 6x
-4 = x
So, the answer is x = -4
how many 20p coins in £4
Answer two 20p coins make 40p
Step-by-step explanation:
Answer:
20 number of 20p makes £4.
Step-by-step explanation:
Let the number of 20p be x
Therefore,
[tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]
HELPPP
A. X=20, y=10
B. X=15, y=8
C. X=20, y=12
D. X=15, y=12
Answer:
Step-by-step explanation:
If this is a parallelogram, then opposite sides are congruent and opposite angles are congruent. That means that
2y + 8 = 3y - 4 and
3x + 25 = 5x - 5
We'll solve that first equation for y:
-y = -12 so
y = 12 Now onto x:
-2x = -30 so
x = 15
Choice d is the one you want.
WILL GIVE BRAINLIEST AND 30 POINTS!
PLEASE SHOW WORK!
f(x)=x2+10 and g(x)=|x|
Find (f+g)(2).
Answer:
14
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 10 \\ \therefore \: f(2) = {2}^{2} + 10 \\ \therefore \: f(2) = 4 + 10 \\ \therefore \: f(2) = 14 \\ \\ g(x) = |x| \\ \therefore \:g(2) = |2| \\ \therefore \:g(2) = 2 \\ \\ f(2) + g(2) = 14 + 2 \\ \red{ \bold{(f + g)(2) = 14}}[/tex]
Step by step Explanation:
[tex]f(x) = x2 + 10g(x) = 1[/tex]
[tex](f + g)(2).[/tex]
Step 1
The equation is in standard form.
[tex]xf = 10gx + x2[/tex]Step 2
Divide both sides by x.
[tex] \frac{xf}{x} = \frac{10gx + x2}{x} [/tex]Step 3
Dividing by x undoes the multiplication by x.
[tex]f = \frac{10gx + x2}{x} [/tex]Step 4
Divide x 2 + 10 g x by x.
[tex]f = 10g + \frac{x2}{x} [/tex]My Answer is.
[tex]\color{green}f \ = \frac{10g + \frac{x2}{x} }{f€g} x2 = {14}^{x} [/tex]Can you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
Hello Freinds
Pls answer
1 micron is equal to ?
the right answer will be marked as brainlist! ✌
Answer:
Step-by-step explanation:
1 micron = 1 * [tex]10^{-3} \ milli meter = \frac{1}{1000} \ millemeter[/tex]
1 micron = 0.00003937 inches
Answer:
hello good morning ✌☺
I hope you are fine ❗
its may help you !!!!¡¡¡¡¡¡¿¿¿¿¿¿♤♤♤
llxXKHaNZaDaXxll 《《~_^)⌐╦╦═─
Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than Lana. When the four sisters' ages are added together, the result is $45$. If the youngest sister is $n$ years old, what is $n$?
Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
as x increases, y increases
Step-by-step explanation:
Answer:
B. as x increases, y increases
Step-by-step explanation:
Need help on this question asap pleasee
Answer:
option c is correct ,,,,,,An angel is formed by A: Parallel lines B: any ray and any line C: Two rays that shares the same end point D: any two rays
plz help me
Answer:
c
Step-by-step explanation:
Which expression is equivalent to this polynomial?
16x2 + 4
A.
(4x + 2i)(4x − 2i)
B.
(4x + 2)(4x − 2)
C.
(4x + 2)2
D.
(4x − 2i)2
Answer:
A.
Step-by-step explanation:
C and D do not create any x² terms when doing the multiplications. so, they are out.
B stands for (a+b)×(a-b) = a² - b².
so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.
that leaves us with A.
let's verify :
(4x+2i)(4x-2i)
it follows the same rule as B :
(a+b)(a-b) = a² - b²
a = 4x
b = 2i
you remember, i = sqrt(-1).
so, we get
(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4
bingo !
Answer:
Step-by-step explanation:
the answer is A
Find the measure of the indicated angle
Answer:
[tex]given\Longrightarrow AB=AC[/tex]
[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]
[tex]\angle~A+\angle~B+\angle~C=180[/tex]
[tex]x+60+60=180[/tex]
[tex]x+120=180[/tex]
[tex]x=180-120[/tex]
[tex]x=60[/tex]
-------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
How many subsets can be formed from the set F?
Answer:
32
Step-by-step explanation:
I'm very confirm with my answer mark me as brainliest plsssss
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, What will her account balance be then?\
answer pls
Answer: $15
Step-by-step explanation:
-$50 + $75 = $15
plz tell the answers in the correct order
Answer:
a) 120°
Step-by-step explanation:
i think this is the right answer
anyone know the answer
Hello,
Answer D
[tex]\begin{array}{|c|c|}x&y\\--&-------------\\-1&-3*\sqrt{-1+1} =-3*0=0\\0&-3*\sqrt{0+1} =-3*1=-3\\3&-3*\sqrt{3+1} =-3*2=-6\\8&-3*\sqrt{8+1} =-3*3=-9\\15&-3*\sqrt{15+1} =-3*4=-12\\--&-------------\\\end{array}[/tex]
What is the product?
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
1) Give 5 examples of a difference of two perfect squares
2) Give the factors of your examples
3) What do you call the factors of a difference of two perfect squares?
please help me
ᴀɴsᴡᴇʀ:
1.Example, x²-25 can be factored as (x+5)(x-5).
2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!
☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎
A rectangular living room has a perimeter of 30 meters. Its area is 50 square meters. What are the dimensions of the living room?
Answer:
The one of (L,b)= (5m, 10m) is the only correct answer.
Step-by-step explanation:
P= 2(L+b)
A= L×b
make b subject of formula in area we have;
b= A/L
in perimeter; p= 2(L +(A/L))
p= (L²+A)/L
pL= L²+A
L²-pL+A= 0
L²-30L+50=0
L²-25L-5L+50=0
L(L-25)-5(L-25)=0
(L-5)(L-25)= 0
L= 5 or 25m
substitute in A
50= 5b or 50= 25b
b= 10 or 2m
PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
A rectangular price tag has a perimeter of 10 centimeters and an area of 6 square centimeters. What are the dimensions of the price tag?
Answer:
3 by 2
Step-by-step explanation:
3+2+3+2=10
3*2=6
Hope this Helps!!!
Four pounds of tea and 5 pounds of coffee cost $88.30, while 9 pounds of tea and
six pounds of coffee cost $144.60. What is the cost of each per pound?
Cost of 1 pound of tea = $4.78 and cost of 1 pound of coffee = $12.88
Cost of 1 pound of tea = $9.20 and cost of 1 pound of coffee = $10.30
O Cost of 1 pound of tea = $8.20 and cost of 1 pound of coffee = $10.30
O Cost of 1 pound of tea = $9.20 and cost of 1 pound of coffee = $9.30
Answer:
Cost of 1 pound tea is $ 9.2.
Cost of 1 pound coffee is $ 10.3.
Step-by-step explanation:
Let the cost of tea is $ per pound and cost of coffee is $ q per pound.
4 p + 5 q = 88.30 .... (1)
9 p + 6 q = 144.60 ....(2)
Solving (1) and (2) we get
p = $ 9.2
q = $ 10.3
Diego deposited \$ 10,000$10,000 for 44 years at a rate of 6\%6% simple interest. Find the amount of interest Diego earned after four years.
Answer:
$2,400
Step-by-step explanation:
Note: The correct years is 4 not 44
The Principal = $10,000
Time period = 4 years
Rate = 6 % p.a.
Simple Interest = Principal * Rate * Time
Simple Interest = $10,000 * 6% * 44
Simple Interest = $2,400
So, the amount of interest Diego earned after four years is $2,400
what is the answer to this?
