The larger cube's volume is 5.08 cm³.
As per the given information, expressing the relation between the mass of iron cubes -
Mass of large iron cube = 2×mass of small cube
Mass of large iron cube = 2×20
Performing multiplication to find the mass
Mass of large iron cube = 40 grams
Now calculating the volume of large iron -
Density = mass ÷ volume
Keep the values in formula to find the volume of cube -
Volume = mass ÷ density
Volume = 40 ÷ 7.87
Performing division to find the volume of cube -
Volume = 5.08 cm³
Hence, the volume of larger iron cube is 5.08 cm³.
Learn more about density -
https://brainly.com/question/406690
#SPJ4
4m-4=4m
a) many solutions
b) no solutions
Answer: The input is a contradiction: it has no solutions
1st step
4m - 4 = 4m
4m - 4 + 4 = 4m + 4
2nd step -
4m = 4m + 4
3rd step -
4m = 4m +4
4m - 4m = 4m + 4 - 4m
4th step -
Combine like terms
0 = 4
Has No Solutions.
help please.
-1/3 - (-3/5)
Answer:
Step-by-step explanation:
93959453
An investor puts $1760.25 into
an insurance policy that pays
6.5% simple annual interest.
If no additional investment is made
into the policy, how much interest
should the investor expect at the end
of 15 years?
(Round to the nearest cent.)
The investor should expect $1716.24375 at the end of 15 years .
Formula for calculation of Simple Interest :
Simple Interest = ( Rate * Principal * no . of years ) / 100 , when no additional investment is made .
Here , principal = $1760.25 , rate = 6.5 , no . of years = 15 .
Substituting values in formula above ,
SI = ( 6.5 * 1760.25 * 15 ) / 100
= 1716.24375
Hence , the investor should expect $1716.24375 at the end
of 15 years .
To learn more on simple interest follow link :
https://brainly.com/question/25793394
#SPJ9
In a game of cards, 43 cards are used, including one joker. Four players are each, dealt 10 cards and the rest are put in a pile. If Greg doesn't have the joker, what is the probability that either his partner or the pile have the joker?
Probability that either his partner or the pile have the joker from the deck of 43 cards including one joker ,four players each have 10 cards and 3 cards in a pile is 13/33.
As given,
Total number of cards=43
Number of cards with each players =10
Number of cards in a pile =3
Greg doesn't have joker
Total cards left = 43-10
= 33
Probability either his or the pile have the joker = (10 +3)/33
= 13/33
Therefore, probability that either his partner or the pile have the joker is 13/33.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
The lunch cost 32.00 and sales taxes was 4.45. If you plan to tip 20% find the total amount you need to pay for lunch
The total amount that you need to pay for the lunch after the sales tax and the tip will be $ 42.85.
We are given that:
The cost of lunch = $ 32
Sales tax = $ 4.45
Tip = 20 %
So, the tip will be calculated by finding the percentage of cost that you are planning to pay has a tip.
Tip = 20 % of $ 32
Tip = 20 / 100 × $ 32
Tip = 0.2 × $ 32
Tip = $ 6.4
Total amount needed to be paid for the lunch = $ 32.00 + $ 4.45 + $ 6.40
Total amount = $ 42.85
Therefore, we get that, the total amount that you need to pay for the lunch after the sales tax and the tip will be $ 42.85.
Learn more about percentage here:
https://brainly.com/question/843074
#SPJ9
pls answer these two questions ASAP
Answer:
Step-by-step explanation:
[tex]\displaystyle\\\frac{10px^2}{3c^2d} \div\frac{5px}{6c^2d^2} =\\\\\frac{10px^2}{3c^2d}*\frac{6c^2d^2}{5px} =\\\\\frac{60c^2d^2px^2}{15c^2dpx^2} =\\\\4d\\\\\\\frac{3}{x+7} \div\frac{8x^2-8x}{x^2+6x-7} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{x^2-x+7x-7} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{x(x-1)+7(x-1)} =\\\\\frac{3}{x+7} \div\frac{8x(x-1)}{(x-1)(x+7)} =\\\\\frac{3}{x+7} \div\frac{8x}{x+7} =\\\\\frac{3}{x+7} *\frac{x+7}{8x} \\\\\frac{3(x+7)}{8x(x+7)}=\\\\\frac{3}{8x}[/tex]
Classify each variable according to the set of numbers that best describes its values.
the number of times n a ball bounces; the height h from which the ball is dropped
The categorization of each variable according to the group of numbers that best captures its values is shown below:
Any integer from 0 to n.
Any number from 0 to h.
What is a variable?Any mathematical object can be represented by a variable in mathematics as a symbol and placeholder. A variable can, for example, represent a number, a vector, a matrix, a function, the argument of a function, a set, or a set's component.Numerous issues are resolved in a single computation by using variables in algebraic calculations as if they were explicit integers.For instance, by exchanging the variables that represent them in the quadratic formula with the numerical values of the coefficients in any given quadratic equation, the quadratic formula may solve any quadratic equation.In mathematical logic, a variable is either a sign for an undefined word of the theory (a "meta-variable") or a fundamental item of the theory that is changed without considering any potential intuitive meaning.To know more about variable, refer to the following link:
https://brainly.com/question/2264120
#SPJ4
A theater director buys props-for
$116.20 and costumes for $494.85. He
has $194.27 left. How much money did
he have to start?
Answer:
$805.32
Step-by-step explanation:
$116.20 + $494.85 + $194.27 = $805.32
He had $805.32 to start.
(18, -7) and (18, 2) m =
Answer:
m = undefined
Step-by-step explanation:
I'm assuming it's "m" as in y=mx+b
(18, -7), (18, 2)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 2 - (-7) 9
m = ----------- = ------------ = ---------- = undefined
x₂ - x₁ 18 - 18 0
I hope this helps!
is (36^7 + 6^13) divisible by 7?
Answer:
(36^7+6^13) is divisible by 7.
Step-by-step explanation:
(36^7+6^13)
First, solve the parentheses and exponents within it.
36^7=36*36*36*36*36*36*36=78364164096
6^13=6*6*6*6*6*6*6*6*6*6*6*6*6=13060694016
Add 78364164096 and 13060694016.
It equals 91424858112.
Divide 91424858112 by 7.
It results in 13060694016.
Hence, yes.
Hope this helps.
If g+9=4 and h-8--3, what is the
value of g + h?
Answer:
g + h = 6
Step-by-step explanation:
We are told that:
• [tex]g + 9 = 4[/tex]
• [tex]h- 8=3[/tex].
To calculate the value of g + h, we have to rearrange the above equations to make g and h their respective subjects:
• [tex]g + 9 = 4[/tex]
⇒ [tex]g + 9 - 9 = 4 - 9[/tex] [Subtracting 9 from both sides]
⇒ [tex]g = \bf -5[/tex]
• [tex]h- 8=3[/tex]
⇒ [tex]h - 8 + 8 = 3 + 8[/tex] [Adding 8 to both sides]
⇒ [tex]h = \bf 11[/tex]
Now that we know the values of g and h, we can find the value of g + h:
[tex]g + h[/tex]
[tex]= -5 + 11[/tex]
[tex]= \bf 6[/tex]
Therefore the value of g + h is 6.
A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $07.93, that she would like to purchase for her family. However, her family only consists of 5 people. If she wants to purchase 5 -
shirts for her family members at that special rate, what would be the cost of these t-shirts in her currency of Krona? (Currency conversion rate is 1 U.S. Dollar 8.6064 Krona)
O 121.663 Krona
O 13.99 Krona
O 608.313 Krona
O69.95 Krona
The total cost of the shirts that the foreign student buy will be 48.71 Krona.
How to illustrate the information?From the information, the person finds a special deal, 7 t-shirts for $07.93, that she would like to purchase for her family.
Therefore, the total cost will be:
= $7.93 / 7 × 5
= $5.66
Therefore, the amount when converted to Krona will be:
= $5.66 × 8.6064
= $48.7
Learn more about currency on:
brainly.com/question/24373500
#SPJ1
Answer:
The answer is C "608.313 Krona"
Step-by-step explanation:
Got it right on my quiz.
Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
10
6
2
13
The temperature of an object goes up by 1k. how much did it go up in degrees fahrenheit and how much in degrees celsius?
Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.
What is the value of 1 Kelvin in in degrees Fahrenheit and Celsius?The formula used in converting temperature from Kelvin to Fahrenheit is expressed as;
(( x - 273.15 ) × 9/5 + 32)°F
Also, to convert temperature form Kelvin to Celsius, we use;
( x - 273.15)°C
Given that;
Temperature goes up by 1 Kelvin1 Kelvin in degrees Fahrenheit = ?1 Kelvin in degrees Celsius = ?Convert 1 Kelvin to degrees Fahrenheit.
(( x - 273.15 ) × 9/5 + 32)°F
(( 1 - 273.15 ) × 9/5 + 32)°F
( 272.15 × 9/5 + 32)°F
( -489.87 + 32)°F
-457.87°F
Convert 1 Kelvin to degrees Celsius.
( x - 273.15)°C
( 1 - 273.15)°C
272.15°C
Given that the temperature of an object goes up by 1.0 Kelvin, the rise in degrees Fahrenheit and Celsius are -457.87°F and 272.15°C respectively.
Learn more temperature conversion units here: https://brainly.com/question/13421795
#SPJ1
i need help solving this problem
Step-by-step explanation:
or, 55° = (4x - 1)° [ vertically opposite angle ]
or, 55° + 1° = (4x)°
or, 56° = (4x)°
or, 56°/4° = x
or, x = 14°
Therefore the value of x is 14° .
Write an equation of a parabola with the given information.
vertex (0,0) , focus (0, 1/2)
The equation that defines the parabola with vertex at the point and focus at (0, 1/2) is
y = 2x²
What is a parabola?The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
In this case we have the vertex of the parabola at the point (0,0) and the focus at the point (0, 1/2) this is displaced on the y-axis upward, so the parabola is of the form.
y = x²
Canonical equation
(y - yo) = 4p(x - xo)
Vertex (0, 0)xo, yo = (0 , 0)
Focus:
f = (0, 0 + p)
(y- 0) = 4*0.5(x - 0)²
y = 2x²
Learn more about parabolas in:
https://brainly.com/question/11780596
#SPJ4
how much was the original price of the ticket? Pls help answer with detailed explanation
Answer: the original price of the ticket was $42
Step-by-step explanation:
[tex]Let's\ make\ a\ proportion:[/tex]
$44.92 - 107%
$x - 100%
[tex]\displaystyle\\x=\frac{44.92*100}{107} \\\\x=\frac{4492}{107} \\\\x=42[/tex]
1. How would you write 2 × 2 × 2 using exponents?
(1 point)
02×3
023
032
2. Rewrite the following expression using exponents.
3×3 × 3× 3 × 3 x3
(1 point)
036
035
O
63
3. What is the value of 4”4? (1 point)
016
064
0256
4. What is the value of 9”2? (1 point)
018
081
0729
5. What is the value of 8”3
024
064
0512
Answer:
[tex]1) \: {2}^{3} \\ 2) \: {3}^{6} \\ 3) \: {4}^{4} = 4 \times 4 \times 4 \times 4 = 256[/tex]
diego compro 12 cuadernos que le costaron 96. 000 ¿cuanto le costo cada uno ?
I need this answered answered please
One is a constant, as it has no variable besides it.
Find the midpoint of the line segment joining points A and B
A(8,- 7); B(2,3)
(5 , -2)
Step-by-step explanation:
mid point = ( (X1 + X2)/2 , (Y1 + Y2)/2 )
= ( (8 + 2)/2 , (-7 + 3)/2 )
= (5 , -2)
Copy trapezoid CDEF and point P . Then use a protractor and ruler to draw a 50° rotation of CDEF about point P .
Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .
Describe the trapezoid shape.
A quadrilateral with one set of parallel opposite sides is referred to as a trapezoid. It can have congruent sides (isosceles) and right angles (a right trapezoid), but neither is necessary.
Step 1 - Draw line DP.
Step 2 - Use a protractor to create a 50° angle with DP'.
Step 3 - Use a ruler to draw D such that DP' = DP
Step 4 - Repeat steps 1-3 for vertices C,E and F to finish the trapezoid .
Learn more about trapezoid
brainly.com/question/8643562
#SPJ4
solve 2x + 5y = -1for y. Then find the value of y when x=-2
solve 2xy - x = 3for y. Then find the value for y when x=2
In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4
In the given statement is
Solve 2x + 5y = -1 for y.
To find the value of y when x= -2
Now, Equation is 2x + 5y = -1 …..(1)
Put the value of x = -2 in eq. 1
2 (-2) + 5y = -1
-4 + 5y = -1
5y = -1 + 4
y = 3/5
Again, Solve 2xy - x = 3 for y
To find the value of y when x = 2
Now, Equation is : 2xy - x = 3 ….(2)
Put the value of x = 2 in eq. (2)
2(2)y - 2 = 3
4y - 2 = 3
4y = 5
y = 5/4
Hence, In equation (1) the value of y = 3/5 and In equation (2) the value of y = 5/4
Learn more about Value of y at :
https://brainly.com/question/21486464
#SPJ1
Malik walks 5 blocks per minute. How many blocks will he walk in 6 minutes?
5 blocks
evaluate the expression 13 divided by (2.5 - |-3 1/8|) times 3 to the third power
Answer: -561.6
Step-by-step explanation:
First, recall PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)
In the equation, we need to work through (2.5 - |-3 1/8|) first.
The absolute value of |-3 1/8| is 3 1/8
We change 3 1/8 to a decimal
3 1/8 = 3.125
Now Subtract (2.5 - 3.125)
This equals -0.625
Next, divide 13 by -0.625
13 ÷ -0.625 = -20.8
Then, multiply -20.8 by 3³
3³ = 27
So -20.8 × 27 = -561.6
identify all the numbered angles that are congruent to the given angle. Justify your answers.
julia ordered 2 hamburgers and steve ordered 3 hamburgers. If their total bill was $7.50, how much did each hamburger cost?
Answer:
$1.50
Step-by-step explanation:
there are 5 burgers since 2+3 is five. Divide 7.50 by five. The answer is 1.50.
$1.50
Because 2+3=5 and once you 7.5÷5 it equals 1.5.
URGENT DUE TODAY PLEASE HELP
Lines k and p are parallel. If m<1 = 5x + 1 and m<2 = 8x - 20, find
the measure of angle 2.
Simplify it.
Show steps please
√16x^2
Answer:
4[tex]x^{2}[/tex]
Step-by-step explanation:
1st seperate the equation
[tex]\sqrt{16}[/tex] and [tex]x^{2}[/tex]
square root of 16 is 4, and x squared stays the same, so the equation becomes
4[tex]x^{2}[/tex]
A 12-pack of juice boxes costs $5.40. How much would an 18-pack of juice boxes cost if it is proportionate in price?
Answer: 8 dollars and 10 cents
Step-by-step explanation:
5.40 divided by 12 = .45
This means that each juice costs 45 cents
.45x18=8.10
Answer:
$8.10
Step-by-step explanation:
$5.40/12=$0.45 $0.45*18=$8.10