Answer:
9216
Step-by-step explanation:
number of small cubes that would fill the prism = volume of prism / volume of small cubes
volume of a prism = length x width x height
3 x 6 x 8 = 144
volume of cube = length³
(1/4)³ = 1/64
144 ÷ 1/64
144 x 64 = 9216
Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464
Answer:
[tex]L=3.999 \: dm[/tex]
[tex]A=183.4581\:dm^{2}[/tex]
Step-by-step explanation:
La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:
[tex]a_{p}=L\frac{2+\sqrt{3}}{2}[/tex]
Sabiendo que la apotema es 7.464 el lado sera:
[tex]L=\frac{2*a_{p}}{2+\sqrt{3}}[/tex]
[tex]L=\frac{2*7.464}{2+\sqrt{3}}[/tex]
[tex]L=3.999 \: dm[/tex]
Por otro lado el area de un dodecágono regular esta dada por:
[tex]A=6a_{p}L[/tex]
[tex]A=6*7.646*3.999[/tex]
[tex]A=183.4581\:dm^{2}[/tex]
Espero te haya sido de ayuda!
Moana sold
packets of seeds to help raise funds for a sports trip. Each packet earned
her $0.65. Afa sold calendars, which earned him $1.50 each. Altogether they earned
$84.70. If they sold a total of 95 items between them, how many did each student
sell?
9514 1404 393
Answer:
Moana: 68 seed packetsAfa: 27 calendarsStep-by-step explanation:
Let c represent the number of calendars sold. Then 95-c is the number of seed packets sold. The total revenue is ...
0.65(95-c) +1.50c = 84.70
0.85c = 22.95 . . . . . . . . . . . . subtract 61.75
c = 27
95 -c = 68
Moana sold 68 seed packets; Afa sold 27 calendars.
A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Approximately what will the customer pay for the purchase before sales tax?
A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Therefore, the customer pay for the purchase before sales tax is $22.
Sales tax:
A sales tax is a tax paid to a governing body on the sale of certain goods and services. Laws generally allow sellers to collect taxes from consumers at the time of purchase. When a tax on goods or services is paid by consumers directly to the governing body, it is usually called a use tax. Laws often provide excise and use tax exemptions for certain goods or services, such as: food, education, medicine, etc. Value Added Tax (VAT) charged on goods and services is related to sales tax.
For Example:
I am shopping at The Clothing Boutique and would like to estimate the total after tax before checking out. After counting the total price of the items in the cart, the total is $100. Sales tax in this county is 9.5%, so you charge 9.5% (100 x 0.095) of $100.
According to the question:
The purchase before sales tax:
= 1/4 × $5.99 + 1 1/2 × $4.99 + 1 × $6.99 + 3/4 ×2.99
= $1.5 + $7.5 + $6.99 + $5.24
= $21.23 ≈ $22
Therefore, the customer pay for the purchase before sales tax is $22.
Learn more about Sales Tax:
https://brainly.com/question/29442509
#SPJ4
I need help on these questions. They confuse me.
The graphic solution for each system of equations is given as follows:
20. (5/3, 28/3).
21. (0.205, 3.846).
22. (-1/2, -5/2).
23. (-4.615, 7.462).
How to solve a system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of all the equation that compose the system.
For this problem, the systems are composed by functions of the first degree, hence they are linear functions.
For each system, the graph is traced, and then the point of intersection is identified on the graph given at the end of the answer.
Each system is traced on a different color, as follows:
System 20: red.System 21: black.System 22: green.System 23: blue.More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
the probability that a twelve-year-old has a brother or sister is 25%. supposed you survey 300 twelve-year-olds. about how many do you think will have a brother or sister?
set up a solve a proportion for this as well.
Answer:
n(B U S) = 75
Step-by-step explanation:
P(E) =
Let 'B' be the event of having twelve year old brother
Let 'S' be the event of having twelve year old sister
given data P(BUS) = 0.25
given total survey n(survey) = 300
we have to find the value is n(BUS) =?
we will use probability definition we get, P( BUS) =
substitute given values, we will get solution
after cross multiplication , we get
n(BUS) = 0.25 X 300
n(BUS) = 75
Answer:
75 twelve-year-olds will have a brother or sister
25% of 300 = 75
Step-by-step explanation:
Step 1: Our output value is 300.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 300=100%.
Step 4: Similarly, x=25%
Step 5: This results in a pair of simple equations:
300=100% (1).
x=25% (2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
300/x 100%/25%
Step 7: Again, the reciprocal of both sides gives
x/300 25/100
x=75
Therefore, $25% of 300 is 75
150% ×_____ = $6.75 find the unknown
Answer:
The answer is $4.50.
Step-by-step explanation:
To solve this problem, divide the result ($6.75) by the percentage (150%). This gives you the original number which was multiplied by the percentage. So,
$6.75 / 150% = $4.50.
Answer:
$4.50
Step-by-step explanation:
150% × □ = $6.75
First, we can rewrite 150% as the fraction 3/2.
[tex]\dfrac{3}{2} \times \square = \$ 6.75[/tex]
Then, we can also rewrite 6.75 as the fraction 27/4.
[tex]\dfrac{3}{2} \times \square = \$ \, \dfrac{27}{4}[/tex]
Next, we can isolate the unknown by multiplying both sides by 2/3 (the reciprocal of 3/2).
[tex]\left(\dfrac{2}{3} \right)\left(\dfrac{3}{2} \times \square \right) = \left(\$ \, \dfrac{27}{4}\right)\left(\dfrac{2}{3} \right)[/tex]
After that, simplify by multiplying out the numerators and denominators on the right side of the equation.
[tex]\square = \$ \, \dfrac{27 \times 2}{4 \times 3}[/tex]
[tex]\square = \$ \, \dfrac{54}{12}[/tex]
Finally, simplify the expression on the right side to a decimal form.
[tex]\square = \$ \, \dfrac{54 \div 2}{12 \div 2}[/tex]
[tex]\square = \$ \, \dfrac{27 \div 3}{6 \div 3}[/tex]
[tex]\square = \$ \, \dfrac{9}{2}[/tex]
[tex]\square = \$ 4.50[/tex]
S(5-4-2) and y (1 7)
Answer:
i do not not the answer of this question
store a charges $8 per movie plus a $10 shipping fee for each order (no matter how many movies are in the order). An order of movies from store z always costs the same as ordering the same number of movies from store A. How much does store Z charge per movie
Store Z charges $8 per movie.
What is an expression?
An expression is the mathematical statement that is formed by numerical and variable terms along with operators. It represents the method of a mathematical operation in a symbolic form.
How much does store Z charge per movie?
given, store A charges $8 per movie.
for each order shipping fee = $10
if store A is ordered x movie at a time than the total cost for one order
represented by the expression, $8 x + $10.
As per question, store Z cost always the same as store A for one order.
so, cost for one order in case of store Z = $8x + $10
if x denotes the number of movies that is ordered at a time, then the Z store charges $ 8 per movie.
To know more about expression visit:
https://brainly.com/question/29696241
#SPJ4
Find the missing value to the nearest hundredth.
tan ___ = 73
A. 81.61°
B. 64.61°
C. 60.61°
D. 89.22°
Answer:
The answer is 89.22
Step-by-step explanation:
What is the quotient of 3.201 x 10^9 and 4.85 10^3 expressed in scientific
notation?
Answer:
3.201 x 10^9 and 4.85 10^3 = 3 201 004 850 = 3.20100485 × 10^9
Step-by-step explanation:
= 3.20100485 × 10^9
(scientific notation)
= 3.20100485e9
(scientific e notation)
= 3.20100485 × 10^9
(engineering notation)
(billion; prefix giga- (G))
= 3201004850
(real number)
What does it mean if the question asks "translate triangle ABC with the vector of <-5, 2>
To translate a triangle with vector (-5/2), you need to subtract 5/2 from the x-coordinate and add 2 to the y-coordinate of each vertex of the triangle. This will move the triangle 5 units to the right and 2 units up.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
To translate a triangle with a vector, you can use the vector to adjust the coordinates of the triangle's vertices.
For example, if the triangle has vertices at (x1, y1), (x2, y2), and (x3, y3), you can translate it by the vector (-5/2) by subtracting 5/2 to the x-coordinates of the vertices. The new coordinates of the translated triangle would be (x1-5/2, y1), (x2-5/2, y2), and (x3-5/2, y3).
This will move the triangle 5/2 units to the left along the x-axis.
It is important to note that the translation vector you provided only has one component, which is -5/2. Since the vector only has x component, the translation will only occur along the x-axis and the y-coordinate of the vertices will not change.
To know more about triangle visit:
brainly.com/question/2773823
#SPJ4
..Solve multi step problems
Help me.....
Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards
What is MultiplicationMultiplication is a mathematical operation that involves multiplying two or more numbers together. It is one of the four basic operations in mathematics, along with addition, subtraction, and division.
In this problem, we may require the use of some mathematical operators to find the solution to the problem.
1.
He currently has 216 cards, but he needs 15 sets of cards.
1 set of card = 72 cards
Let's calculate the number of sets he currently has.
1 set of card = 72 cards
x set = 216 cards
cross multiply both sides and solve for x.
x * 72 = 216 * 1
x = 216 / 72
x = 3 sets
He currently has 3 sets of cards.
Since he wants 15 sets of cards, we will need 12 more set of cards.
The number of cards can be calculated by multiplying 12 by 72
Number of cards = 12 * 72 = 864
He needs 864 more cards.
2.
1 set of card = $27
1 set = 72 cards
But she's bringing $9 to join, we can calculate the ratio of cards she will get.
1 / 27 = x / 9
x = 9 / 27
x = 1/3
She will get 1/3 of the cards bought which will be
72 * 1/3 = 24 cards
She will get 24 cards
Learn more on multiplication here;
https://brainly.com/question/4721701
#SPJ1
If you need $10000 in 4 years and have an investment that will pay you 18% interest , how much do you need to invest to make that happen
Answer: the answer is 1800
Step-by-step explanation:
18 percent of 10000 is 1800
A survey found the following number of pets in different households.
What is the mean absolute deviation for the number of pets?
Answer:
absolute deviation means distance between each data value and the mean of the data set.
Step-by-step explanation:
(MAD)
or
(Average)
How do you find the third side of a right triangle with two sides?
The Third side of the right triangle with two sides can be found by Pythagoras Theorem that means by adding the square of other two sides .
What is Pythagoras Theorem ?
The Pythagoras Theorem states that the , in a Right Triangle, the square of the hypotenuse side (longest side) is equal to the sum of squares of the other two sides“.
The sides of this triangle are named as Perpendicular, Base and Hypotenuse. where , the hypotenuse is longest side of the triangle , because , it is opposite to the angle 90°.
Therefore , the third side (longest side) of a right triangle with two sides can be found by adding the square of the other two sides .
Learn more about Triangles here
https://brainly.com/question/30106737
#SPJ4
40 points!!!! What’s the answer???Please help!!!!! Please Tell me how you got it!!!
Please answer I’ll give brainliest!!! Fake answers such as links will get reported.
Answer:
1 : 64Step-by-step explanation:
Without calculation, we should get:
(1/8)² = 1/64Lets confirm
Area of the drawing:
4.875 * 14 = 68.25 in²Area of the wing:
39*112 = 4368 ft²Divide the area of the wing by the area of the drawing:
4368/68.25 = 64As we see the ratio is same, drawing to wing:
1 : 64If y varies directly as x, and y = 15 when x = 10, then what
is y when x = 6
Answer:
y = 9.
Step-by-step explanation:
y = kx where k is a constant.
Substituting the given values:
15 = k*10
k = 15/10 = 1.5 so
y = 1.5x is the relation.
When x = 6
y = 1.5 * 6
= 9..
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y = kx
k = 1.5 and x = 6
The value of y when x = 6 is 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
3x = 5 is an equation.
We have,
If y varies directly as x.
This means,
y ∝ x
y = kx
where k is the constant of proportionality.
Now,
y = 15 when x = 10
This means,
15 = 10k
k = 15/10
k = 1.5
Now,
y = kx
k = 1.5
x = 6
y = 1.5 x 6
y = 9
Thus,
y = kx
k = 1.5 and x = 6
The value of y when x = 6 is 9.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Which of the following equations describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2
A. an = 1/3 (3/5)n-1
B. an = 1/3 (3/5)n
C. an = 3/5 (1/3)n-1
D. an = 3/5 (1/3)n
The equation which describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2 is an = 3/5 (1/3)n-1 , which is option C.
We use the formula an=a1+(n−1)d an = a1 + (n−1)d , to calculate the nth term of a given sequence. The 'n' here represents a number.
Using the nth term we can any number on the sequence which allows us to locate any term in a series.
By substituting different values for the term number, we can create a series utilizing the nth term (n).
To find the tenth term we use the sequence formula and substitute a random number in place of n.
Example if we need to find the first 50 term then we will substitute n as 50.
To learn more about sequence
brainly.com/question/12709427
#SPJ4
(-3/4)x + 25 = (1/8)x - 3
Find x and show your steps.
hELP before my mom gets mad at me for bad grades
All must add up to 360°
100+44=144°
360-144
= 216°
Answer:
144°
Step-by-step explanation:
Every possible triangle's 3 angles add up to 180.
So when you are given 2 angles of a triangle (100° and 44°), you can find the 3rd one by subtracting the given angles from 180°.
100°+44°=144°
180°-144°=36°
That's the missing angle inside the triangle.
We need that to find angle 1 because 2 angles that make up a straight line add up to 180°. So 180-36°=144°.
A circle has a circumference of 1,133.54 units. What is the diameter of the circle?
Answer:
360.82
Step-by-step explanation:
Answer: A circle has a circumference C=1133.54 units. Substitute the value, Therefore, the diameter of the circle is 361 units.
Step-by-step explanation:
Caleb bought groceries for $68.48, including sales tax. If sales tax was 7%, how much was the groceries before tax?
pls help me
Answer:
$64.00
Step-by-step explanation:
Let the amount for the groceries before tax be Y
If the cost inclusive of tax at 7% is $68.48, then
Y + 7% * Y = $68.48
100%Y + 7%Y = $68.48
107%Y = $68.48
Recall that 107% = 1.07
1.07Y = $68.48,
Divide both sides by 1.07
Y = $68.48/1.07
Y = $64.00
Hence the cost of the groceries before tax is $64
96743 divided by 25 im at school in person so uh ya lol
Answer:
3,869.72
Step-by-step explanation:
Z is a standard normal random variable. The P(Z > 2.11) equals
0.4821
0.9821
0.5000
0.0174
Would this equal 0 (zero): (put yes/no as your answer)
Sandy's rose bush grew 8 inches in the spring. Then, she pruned it back 8 inches in the fall.
I need help ASAP!!!!!!!!! Plz & thx. I will give the correct answer a crown.
Also, have a great day/night
Answer:
Yes, that would be 0
As simple as 8-8=0
You have a great day/night too :)
2. If tan theta = 2 , find cot theta
Answer:
1/2
Step-by-step explanation:
cot∅ = 1/tan∅
cot∅ = 1/2
helpppppp
math math math math
Answer: 35
Step-by-step explanation:
So first you plug 5 into the equation which is:
10(5)-15
which is 50-15
50-15 is 35
Answer:
35
Step-by-step explanation:
plug 5 in for x and u will get 35
PLEASE ANSWER!! I WILL GIVE BRAINLIEST AND 50 PTS!!
Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on segment GF, and points E and H are connected with a segment.
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?
segment EH and segment E prime H prime both pass through the center of dilation.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment E prime G prime will overlap segment EG.
segment EH ≅ segment E prime H prime.
Answer:
See below and the attachedStep-by-step explanation:
Given triangle EFG:
E(0, 5), F(1, 1), G(-2, 1)Center of dilation is H(0, 1)Scale factor is k = 3The rule for this dilation is:
(x, y) → (k(x - a) + a, k(y - b) + b) (x, y) → (3x, 3(y - 1) + 1) = (3x, 3y - 2)The coordinates of E'F'G' are:
E → E' = (0, 5) → (0, 13)F → F' = (1, 1) → (3, 1)G → G' = (-2, 1) → (-6, 1)Points H and H' overlap as center of dilation at (0, 1)Options (verified with the graph):
Segment EH and segment E prime H prime both pass through the center of dilation.
TrueThe slope of segment EF is the same as the slope of segment E prime H prime.
FalseSegment E prime G prime will overlap segment EG.
FalseSegment EH ≅ segment E prime H prime.
Falseanswer is A gl on ur test
Lily purchases 3 gallons and two quarts of ice cream. How much ice cream did she purchase, in QUARTS
Answer:
14 Quarts
Step-by-step explanation:
1 Gallon = 4 Quarts.
3x4 = 12 + 2 = 14 Quarts.
A rescue boat just picked up some sailors in a lifeboat. Now the rescue boat is heading north at 14 miles per hour. The lifeboat, which they abandoned, is drifting south at a speed of 3 miles per hour. How long will it be before the rescued sailors are 57 miles from their lifeboat?
The time it will take for the rescued sailors to be 57 miles from their life boat is given as follows:
3.35 hours.
What is relative velocity?Relative velocity is obtained considering the direction in which the objects are traveling, as follows:
Opposite direction: the relative velocity is given by the sum of the velocities of each object.Same direction: the relative velocity is given by the subtraction of the velocities of each object.For this problem, the sailors and the lifeboat are traveling in opposite directions, hence the relative velocity, considering each of their velocities is given as follows:
v = 14 + 3 = 17 miles.
(meaning that they get 17 miles farther each hour).
Velocity is distance divided by time, hence the time it will take for them to be 57 miles apart is given as follows:
17 = 57/t
17t = 57
t = 57/17
t = 3.35 hours.
More can be learned about relative velocity at https://brainly.com/question/13363067
#SPJ1