Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
[tex]Volume = a^{3}[/tex] where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]
Thus the length of an edge of the cube is 10 centimeters
PLS SIMPLIFY b3·b^−5·b^11
A) b^9
B) b^15
C) b^19
D) b^-165
Answer:
a) b⁹
Step-by-step explanation:
b³ • b⁻⁵ • b¹¹
add the exponents
b³ ⁺ ⁽⁻⁵⁾ ⁺ ¹¹
b⁹
Answer:
b^9
Step-by-step explanation:
b^3·b^−5·b^11
Since the bases are the same, and we are multiplying, we can add the exponents
b^(3+-5+11)
b^9
reduce 63/72 to its lowest terms
Answer:
7/8
Step-by-step explanation:
63 ÷ 9/72 ÷ 9
= 7/8
Answer:
7/8
Step-by-step explanation:
63/9 = 7
72/9 = 8
then:
63/72 = 7/8
Rule: Multiply x by 0. Then add 7 to the result to get y
Answer:
Let's simplify step-by-step.
x(0)+7
=0+7
Combine Like Terms:
=0+7
=(0+7)
=7
Step-by-step explanation:
Answer:
y = 7
Step-by-step explanation:
x · 0 = 0
0 + 7 = 7
y = 7
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
The answer is shown below:
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
1+5.2 + (1+3)²
=1+10 + 16
=27
0.25*4³-1
=0.25*64-1
=16-1
=15
4+8(1/4+2)
=4+8(9/4)
=4+2*9
=4+18
=22
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When dividing exponents with the same base, what operation do we use
with the exponents? (the quotient rule)
Answer:
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.
Step-by-step explanation:
Hope it helps please mark me as the brainliest
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Answer:
5/6 pounds
Step-by-step explanation:
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Given the following :
Amount of corn meal purchased = 5 pounds
Number of people to share = 6 families
Assume, it is divided equally among them;
Then; each family gets ;
(Pounds of corn meal purchased/number of families) ;
5 / 6 pounds of corn meal will be distributed to each family.
-19+[27-{14+(5-2)×4÷2
EXAMPLE QUESTION+ANSWER;-
16 - [5 - 2 { 14 of 2 - (8/4 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (2 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (4 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (3 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - 6} ]
= 16 - [5 - 2 { 28 - 6} ]
= 16 - [5 - 2 {22} ]
= 16 - [5 - 44]
= 16 + 30
= 55
Answer: 55
Based on the cladogram, which characteristics are common to amphibians, lemurs, and humans? vertebrae, tetrapod, hair amniotic egg, hair, biped tetrapod, vertebrae tetrapod, hair
Answer:
C. did the assignment
Step-by-step explanation:
edge 2021
Answer:
C. Tetrapod, vertebrae
Step-by-step explanation:
A tank contains 15,000 L of brine with 24 kg of dissolved salt. Pure water enters the tank at a rate of 150 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate.How much salt is in the tank after t minutes
Answer:
Step-by-step explanation:
Let y(t) be the amount of salt in the tank after time t.
(A) Incoming rate = 0 (due to Pure water having no salt)
(B) Mixed solution comes out at 150 L/min. Initially the tank has 15,000 L of brine with 24 kg of salt.
concentration of salt at time t = y(t) / 15000 kg/L
Outgoing rate = y(t)/15000 * 150 = y(t) / 100
(C) we know that,
[tex]\frac{dy}{dx} =(incoming\ rate) - (outgoing\ rate)[/tex]
[tex]\frac{dy}{dx} =0-\frac{y(t)}{100} = \frac{-y(t)}{100}[/tex]
Separate variable and integrate
[tex]\int {\frac{dy}{y} } = - \int {\frac{1}{100} } \, dt[/tex]
[tex]ln|y|=-\frac{1}{100}t + D[/tex]
[tex]y=e^{D} e^{\frac{-t}{100} }[/tex]
[tex]y= Ce^{\frac{-t}{100} }\ [C=e^{D} ][/tex]
At t= 0 , y(0) = 24 kg
[tex]24=C\ e^{0}[/tex]
C= 24
(D) Therefore, the amount of salt in the tank after time t :
[tex]y(t)=24e^{\frac{-t}{100} }\ kg[/tex]
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)
Answer:
Step-by-step explanation:
(-8+2)/(9-4)= -6/5
y + 2 = -6/5(x - 4)
y + 10/5 = -6/5x + 24/5
y = -6/5x + 14/5
Probability ~
The probability of selecting a white chocolate from a box is 1/5 and the probability of selecting a dark chocolate from the same box is 1/3. The other chocolates are milk chocolates.
A. Find the probability of selecting a milk chocolate.
B. How many chocolates in total could be in the box? Give reasons. Is there more than one answer?
A.
A - selecting a milk chocolate
[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]
B.
The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.
Five less than the product of a number and 6
A. 5-6n
B. 6(n-5)
C. 6n-5
D. 6(5-n)
Answer:
C. 6n - 5
Step-by-step explanation:
Hello!
A product of a number and 6 means we have to multiply a number by 6.
This can be shown by 6n.
Then 5 less means we subtract by 5.
We get the answer: 6n - 5
Hope this Helps!
Answer:
B) 6(n-5)
Step-by-step explanation:
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1/2x+1/3y=2
1/3x+1/2y=13/6 (x is not equal to 0, y is not equal to 0)
by substitution method,
step by step
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
3x+2y=12
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
2x+3y=13
so the system is now
3x+2y=12
2x+3y=13
from the first equation 2y=12-3x, y=6 - 3x/2
then put y in the second equation
2x+3*(6-3x/2)=13
2x+18-9x/2=13
2x-9x/2=13-18
4x/2-9x/2=-5
-5x/2=-5
*(-1/5) *(-1/5)
x/2=1
*2 *2
x=2
so y=6-3*2/2=6-3
y=3
Step-by-step explanation:
Given that:
(1/2x)+(1/3y) = 2 --------(1)
(1/3x)+(1/2y) = 13/6-----(2)
Put 1/x = a and 1/y = b then
(1) becomes
(a/2 )+( b/3) = 2
⇛ (3a+2b)/6 = 2
⇛ 3a+2b = 2×6
⇛ 3a+2b = 12 --------(3)
(2) becomes
(a/3)+(b/2)=13/6
⇛ (2a+3b)/6 = 13/6
⇛ 2a+3b=13----------(4)
On adding (3)&(4) then
3a+2b=12
2a+3b=13
(+)
_________
5a+5b = 25
_________
⇛ 5a+5b = 25
⇛ 5(a+b)=25
⇛ a+b=25/5
⇛ a+b=5 -------------(5)
On subtracting (3) from (4)
2a+3b=13
3a+2b=12
(-)
_________
-a+b = 1
_________
⇛ -a+b = 1
⇛ b = 1+a --------(6)
On Substituting the value of b in (5) then
a+1+a = 5
⇛2a+1 = 5
⇛ 2a = 5-1
⇛ 2a = 4
⇛ a = 4/2
⇛ a = 2
On Substituting the value of a in (6) then
b = 1+2
b = 3
Now,
a = 2
⇛ 1/x=2
⇛ “x” = 1/2
and
b= 3
⇛ 1/y = 3
⇛“y” = 1/3
Answer:- Hence, the value of x and y with be 1/2 and 1/3 respectively.
The solution for the given problem is (1/2,1/3)
Check:-
If x = 1/2 and y = 1/3 then
LHS = (1/2x)+(1/3y)
= 1/2(1/2)+1/3(1/3)
= 1/(2/2)+1/(3/3)
= (1/1)+(1/1)
= 1+1
=2
= RHS
LHS=RHS is true
and
LHS=(1/3x)+(1/2y)
⇛ 1/3(1/2)+ 1/2(1/3)
⇛ 1/(3/2)+1/(2/3)
⇛ (2/3)+(3/2)
⇛ (4+9)/6
⇛ 13/6
⇛ RHS
LHS = RHS is true
also read similar questions: Simultaneous equations: 1. 2x+2y=10 X+2y=6 2. 3x+y=18 2x+y=13 3. X+y=1 X-y=5 4. 3x+4y=29 X-4y=-17 5. 4c+3y=11 2x+y=7
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NEEDDD HELPPPP ASAPPPPPPPPPP !!
Answer:
42 = 8x + 13x
42 = 21x
x = 2
8 = 8c -4(c + 8)
8 = 8c - 4c - 32
8 = 4c - 32
40 = 4c
c = 10
Answer:
42 = 8x + 13x42 = 21x
42/21 = x
x = 2
check:
42 = 8*2 + 13*2
42 = 16 + 26
8 = 8c - 4(c+8)8 = 8c -4*c -4*8
8 = 8c - 4c - 32
8 + 32 = 4c
40 = 4c
40/4 = c
c = 10
Check:
8 = 8*10 - 4(10+8)
8 = 80 - 4*18
8 = 80 - 72
Which expression is equivalent to the product of p+7/3 and6/p , where p0? PLZZZZ HELPPPPPPP
Answer: [tex]6+\dfrac{14}{p}[/tex] .
Step-by-step explanation:
To find : The expression is equivalent to the product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex], where p ≠0.
Product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex] = [tex](p+\dfrac73)\times\dfrac6p[/tex]
Using distributive property: [tex](b+c)a= ba+ca[/tex]
[tex](p+\dfrac73)\times\dfrac6p=p\times\dfrac6p+\dfrac73\times\dfrac6p\\\\= 6+\dfrac{7}{1}\times\dfrac2p\\\\=6+\dfrac{14}{p}[/tex]
Hence, the required expression is [tex]6+\dfrac{14}{p}[/tex] .
Answer:
B!!!
Step-by-step explanation:
Multiply then divide every number by 2 to simplify.
A right cylinder has a radius of 2 units and a height of 5 units.
A right cylinder has a radius of 2 units and a height of 5 units.
What is the volume of the cylinder? Round to the nearest tenth.
31.4 cubic units.
62.8 cubic units
157.1 cubic units
314.2 cubic units.
Answer:
62.8 cubic units
Step-by-step explanation:
Because, The formula of volume of cylinder is Volume = square of radius multiply by its height
The volume of the cylinder round to the nearest tenth is 62.8 cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
where
r is the radius of the cylinder
h is the height of the cylinder
Given
radius = 2 units
height = 5 units
Substitute
V = (3.14)* 2² * 5
V = 3.14 * 20
V = 62.8 cubic inches
Hence the volume of the cylinder round to the nearest tenth is 62.8 cubic inches
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The diagram below is divided into equal parts. Which ratio correctly compares the number of shaded sections to the total number of sections? A diagram is divided into 4 shaded parts and 4 white parts. One-half 4 to 4 2:1 StartFraction 8 Over 4 EndFraction
Answer: 1/2 is correct.
Step-by-step explanation:
There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.
Hope this helps!
Answer:
The answer is A
Step-by-step explanation:
because there are 4 shaded parts and 8 parts in total.
4/8=1/2
It's A
Evaluate the expression 52 + 2x when x = 5. Choose the phrase below that describes the resulting number.
Answer:
62
Step-by-step explanation:
hope that helps! if it is an answer
The Phrase is: "The resulting number is 62."
We have the expression as
52 + 2x
Now, To evaluate the expression 52 + 2x when x = 5,
we substitute the value of x into the expression and simplify:
=52 + 2(5)
= 52 + 10
= 62.
Thus, The resulting number is 62.
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Mummy shade has three children one is Ade, the one second is sumbo. WHAT IS THE NAME OF THE THIRD ONE
just to think wisely about it.
Answer:
Shade
Step-by-step explanation:
she's called Mummy shade, so I think her other child's name is shade
Answer:
Shade
Step-by-step explanation:Her name is Mummy shade
Which graph shows a linear function?
Answer:
the bottom
Step-by-step explanation:
Answer: the second one
Step-by-step explanation:
Need help how to find this slope
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-2}{3-0}[/tex] = - [tex]\frac{1}{3}[/tex]
If v=5 and w=24, what is 5v+w?
Answer:
49
Step-by-step explanation
5v + w
5(5) + 24
25 + 24
49
First you have to substitute the variables with numbers given (v=5 ; w=24)
Start with multiplying 5*5 which equals 25, then finish off with adding the two numbers.
Answer:
5v+w = 5(5)+24 = 49
Step-by-step explanation:
As you can see we have two variables
v & w
And we have no coefficient to w but we do to v which is...
5
So... we must replace the variables (v & w) replacing them with the numbers you gave us, 5 for v and 24 for w.
The sentence is
5v+w= ?
If you replace v with 5 it becomes...
5(5)+w
When seeing a number & a variable or numerous variables that placed right next to each other, it means that the number and the variable(s) are to be multiplied together.
So now we have 5(5)+w meaning 5 times 5 plus the variable w
The second value you gave us is 24 which is supposed to be subbed in for w.
So... when we replace w with 24 we get...
5(5)+24
Now we evaluate the expression.
According to PEMDAS... since we have no parenthesis or exponents we do m, multiplication first. 5*5=25
We are now left with...
25+24
25 + 24 = 49.
So...
5v+w is now 5(5)+24 which is equal to...
49
Hopefully this helped you!
Have a good day!
A business tenant has a percentage lease stating rent payment is greater of 2% of the business's total gross sales volume or a minimum base rental of $1,000.00 per month. In the past year, sales totaled $435,000. How much rent did the business pay?
Answer:
The answer is $12,000. 12 months × $1,000 per month = $12,000 minimum annual base rent; $435,000 gross sales × 2% = $8,700. The tenant paid $12,000 because the minimum base rent was more than the percentage of gross sales.
Step-by-step explanation:
solve for x and y plz 12x - 5y = -20 x + 4 = y
Answer:
(0,4)
Step-by-step explanation:
System of Equations:
[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]
x= y-4 .... Change format so you can substitute to first equation
12(y-4)-5y=-20 .... Plug in x= y-4 to first equation
12y - 48 -5y = -20 ..... Distributed
7y -48 =-20 .... Added like terms
7y=28 .... Added 48 to both sides
y=4
.... Plug y into the second equation to find x
x + 4=y
x +4 = 4 .... Plugged in y
x = 4-4 .... Subtracted 4 from both sides
x=0
Your answer is (0,4)
Hope this helps:)
This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes could I have in the bag, if I know I have over 10 lollies total?
Answer:
40.
Step-by-step explanation:
Let J represent jelly snake.
Let L represent lollipops
Let S represent sample space
Let y represent the number of jelly snake in the bag. I.e
Number of J = y
Number of L = 10
Number of S = 10 + y
From the question given, we were told that the probability of jelly snake P(J) is 4/5.
But probability of jelly snake, P(J) is given by:
P(J) = nJ/nS
nJ = y
nS = 10 + y
P(J) = 4/5
Thu, we can obtain the number jelly snake, y, in the bag as follow:
P(J) = nJ/nS
4/5 = y/(10 + y)
Cross multiply
5y = 4(10 + y)
Clear bracket
5y = 40 + 4y
Collect like terms
5y – 4y = 40
y = 40
Therefore, the number of jelly snake in the bag is 40
Will Give Brainliest, answer ASAP x=
y=
z=
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
In the Diagram, DEC is a ____ of ABC across line k.
rotation
glide reflection
reflection
translation
Answer:
Reflection
Step-by-step explanation:
A reflection is a mirrored image of a shape. Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.
Cheers.
Please answer this question now
Answer:
373.66 cm².
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Radius (r) = 7 cm
Slant height (l) = 10 cm
Surface Area (SA) =?
The surface area of the cone can be obtained by using the following formula:
SA = πr² + πrl
SA = (3.14 × 7²) + (3.14 × 7 × 10)
SA = (3.14 × 49) + 219.8
SA = 153.86 + 219.8
SA = 373.66 cm²
Therefore, the surface area of the cone is 373.66 cm².
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
==========================================================
Explanation:
Let point A be the center of the circle.
Arc DCF is 316 degrees. Arc FG is 20 degrees. Subtracting the arc measures gives 316-20 = 296 which is the measure of arc DCG, and by extension, it is the measure of reflex angle DAG. The acute angle DAG is 360-296 = 64 degrees
Triangle DAG is isosceles with AD = AG, so the base angles are ADG and AGD. Let's call each of these angles x for now. The sum of the three angles add to 180
x+x+64 = 180
2x+64 = 180
2x = 180-64
2x = 116
x = 116/2
x = 58
Therefore angle ADG is 58 degrees. It adds to angle ADB = 90 to get 90+58 = 148, which is the measure of angle BDG.
Note: angle ADB is 90 because tangent BD forms a right angle with the radius AD.
Another note: angle ADG is half that of the arc it cuts off, so in a sense it's similar to an inscribed angle
How many hours are there in ten quarters of an hour?
Answer:
2 1/2 hours
Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half
