Answers
Answer:
No 1 inch cubes will fit
28 one-half inch cubes will fit
Step-by-step explanation:
No cubes with a side length of 1 inch will fit because one dimension of the prism is only 1/2 inches, so we can't fit a 1 inch cube in anywhere.
Since one dimension is 1/2 inch, we can line up 1/2 inch cubes along the other 2 dimensions. Let's say that the 1/2 inch dimension is the base, the 2 inch dimension is the height, and the 7/2 inch dimension is the length.
We can stack the cubes 4 high, (2 inches of height with 1/2 inch being the cube height, there are 4 halves in 2).
We can place 7 cubes along the length (7/2 inches = 3.5 inches. There are 7 halves in 3.5).
So we can have 4(7) = 28 one half inch cubes can fit in to the prism
Related Questions
which of the statements using operations on rational or irrational numbers always results in a rational number?
a) irrarional + irrational
b) irrational ÷ irrational
c) rational + irrational
d) rational ÷ rational
Answers
[tex]1.999999\inf[/tex]
So adding a rational number, like 2, it would be irrational still:
[tex]2+1.999999\inf=3.999999\inf[/tex]
That being said, answer C is wrong
Now, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.
[tex]2\ /\ 2=1\\\\4\ / 1=\ 4[/tex]
Thus the answer appears to be D
Now lets use the process of elimination to double check the answer:
The wording of your question is what will help us out here:
Which of the statements using operations on rational or irrational numbers always results in a rational number?
Because of that, any of the choices that involve a irrational number can result with another irrational number like so:
[tex]a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf[/tex]
And there you go, the only answer that hasn't been proven wrong is answer D.
Now, if you like this answer and would like to see more please make sure to Like, Comment, and Rate this answer! Also, be sure to send me a friend request, I'm always up for a Challenge!Thanks!The statement using operations on rational or irrational numbers always results in a rational number is d) rational ÷ rational.
What are rational and irrational numbers?We know all the real can be subdivided into two parts one is rational numbers and the other is an irrational number.
Rational numbers are those numbers that have repeating or terminating digit patterns after the decimal place and irrational numbers are those numbers that do not have this property.
a) irrational + irrational is an irrational number, √3 + √3.
b) irrational ÷ irrational is sometimes rational and sometimes irrational,
√3 ÷ √3 = 1 but √6 ÷ √3 = √2.
c) rational + irrational is always an irrational number.
d) rational ÷ rational is always a rational number.
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Nadia makes the sign for her bedroom door she wants to put a ribbon border around the edges of the side she has 12 inches of ribbon is that enough
Answers
Answer - No because a door is around 5 feet
Any number raised to the power of zero is zero true or false
Answers
Answer: Any number times zero is zero, it can never equal something else.
Step-by-step explanation: My teacher taught me this before so i know :)
The statement is false.
Statement given,
Any number raised to the power of zero is zero.
The following statement is false, as, any number raised to the power of zero is one always. Thus,
[tex]\bold{x^0 =1}[/tex],
where x is any real number, except zero.
So, x is defined for any number except 0.
Hence, the statement is false.
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what is the distance from point N to LM in the figure below? APEX!
Answers
Answer:
Step-by-step explanation:
7.8 is the distance from n to lm
Answer:
E. 7.8
Step-by-step explanation:
We have been given an image of a triangle and we are asked to find the distance from point N to line LM.
We can see that NO is the altitude for our given triangle, so the distance from point N to line LM will be equal to length of segment NO.
We can see from our given attachment that length of segment NO is 7.8 units, therefore, option E is the correct choice.
-3x-9+15x
Please help asap
Answers
Answer:
= 0.75
Step-by-step explanation:
-3x-9+15x = 0
12x = 9
x = 3
4
= 0.75
Hey there!
The answer is 12x - 9
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each side, if the triangle has a perimeter of 28 inches?
Answers
➷ 1st side = x - 3
2nd side = x
3rd side = x - 1
Form an equation:
x - 3 + x + x - 5 = 28
Simplify:
3x - 8 = 28
Add 8 to both sides:
3x = 36
Divide both sides by 3:
x = 12
first length = 12 - 3 = 9 inches
second length = 12 inches
third length = 12 - 5 = 7 inches
✽➶ Hope This Helps You!
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Please help 10 points <3
Answers
Write the expression in complete factored form. 4u(y+6)+a(y+6)
Answers
Answer:
(y + 6)(4u + a)
Step-by-step explanation:
Given
4u(y + 6) + a(y + 6) ← factor out (y + 6) from each term
= (y + 6)(4u + a) ← in factored form
Find the perimeter of the larger Octagon.
Answers
The scale factor is obviously 7, because the 28 divided by 4 equals 7.
This means that the larger octagon's perimeter will be 7 times the smaller octagon's perimeter.
So 34 * 7 = 238.
To find the perimeter of a larger octagon, add up the lengths of all its sides. The formula for finding the perimeter of any regular polygon is P = ns, where P is the perimeter, n is the number of sides, and s is the length of one side.
Explanation:An octagon is a polygon with 8 sides. To find the perimeter of an octagon, you need to add up the lengths of all its sides. If you know the length of one side of the octagon, you can multiply it by 8 to get the perimeter. For example, if the length of one side is 5 cm, the perimeter of the octagon would be 5 cm x 8 = 40 cm.
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The length of an average cat's body is 45 centimeters. How many millimeters are equivalent to 45 centimeters?
Answers
Answer:
450
Step-by-step explanation:
1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;
45*10 = 450 millimeters
Answer:
450 mm
Step-by-step explanation:
Given in the question,
the length of an average cat's body = 45 cm
To find,
number of mm which are equivalent to 45 cm
We know that
1 cm = 10 mm
45 cm = 45 x 10 mm
= 450 mm
Hence, there are 450 mm in 45 cm.
Solve: 92x + 1 = 93x – 2
x =
Answers
Answer:
x=3
Step-by-step explanation:
93x-92x=2+1
x=3
Answer:
x=3
Step-by-step explanation:
i did in edge right now
Plz help me with this!!!!!!!!
Answers
Answer: √y
Step-by-step explanation:
[tex]\sqrt[6]{y^3}=y^{\frac{3}{6}}=y^{\frac{1}{2}}=\boxed{\sqrt y}[/tex]
several ordered pairs from a continuous exponential function are shown in the table. what are the domain and range of function?
A. the domain is the set of integers, and the range is y = 4.
B. the domain is the set of integers, and the range is y = 0.
C. the domain is the set of real numbers, and the range is y = 0.
D. the domain is the set of real numbers, and the range is y = 4.
Answers
Answer:the answer is b
Step-by-step explanation:
What expression represents five times the quotient of some number and ten
Answers
Answer:
since we dont know the variable it isnt very easy to anser..
Step-by-step explanation:
Lets assume the variable is V okay?
5 time we know times means multiplication so
5 x
The quotients is division so
5 x V divided 10
X+3
——=8 what’s the value for
2. X
Answers
What is the area of this figure
Answers
Answer:
58.6
Step-by-step explanation:
To find the area of the figure by splitting it into two shapes - a trapezoid and a rectangle.
The area of a rectangle is A = b*h where b = 8 and h = 4.
So the area is A = 8*4 = 32
The area of a trapezoid is A = 1/2 (a+b)h where a = 8 and b = 5.3 and h = 4.
So the area is A = 1/2(8+5.3)*4 = 1/2(13.3)(4) = 26.6.
The area of the whole figure is these two areas added together.
32 + 26.6 = 58.6
A triangular prism has bases that are equilateral triangles. Which statements are true about the surface area of the triangular prism? Choose all that apply. A all three rectangular faces have the same surface area
B the surface area of each rectangular face is 66cm2
C the combined surface area of both bases is greater than the surface area of one rectangular face
D the surface area of one base is 15.6cm2
Answers
Answer:
A. all three rectangular faces have the same surface area
B. the surface area of each rectangular face is [tex]66\ cm^{2}[/tex]
D. the surface area of one base is [tex]15.6\ cm^{2}[/tex]
Step-by-step explanation:
Verify each statement
case A) all three rectangular faces have the same surface area
The statement is true
Because, the equilateral triangle has the three equal sides and the three equal internal angles.
case B) the surface area of each rectangular face is [tex]66\ cm^{2}[/tex]
The statement is true
Because, the area of each rectangular face is equal to
[tex]6(11)=66\ cm^{2}[/tex]
case C) the combined surface area of both bases is greater than the surface area of one rectangular face
The statement is False
Because
The combined surface area of both bases is [tex]2[\frac{1}{2}(6)(5.2)]=31.2\ cm^{2}[/tex]
The surface area of one rectangular face is [tex]66\ cm^{2}[/tex]
therefore
[tex]31.2\ cm^{2}< 66\ cm^{2}[/tex]
case D) the surface area of one base is [tex]15.6\ cm^{2}[/tex]
The statement is True
Because
The surface area of one base is [tex]\frac{1}{2}(6)(5.2)=15.6\ cm^{2}[/tex]
C.
D.
B.
C.
A.
D.
C.
C.
B.
A. B. and D.
This is the whole practice! 100% percent!
Have an amazing day! :):)
how do you put .36÷4 into a model
Answers
Answer:
Step-by-step explanation:
you have to make 4 rows and 36 column then solve 36 divided by 4=9
which expression is equivalent to 8x - 12y +32
Answers
The expression equivalent to 8x - 12y + 32 is 4(2x - 3y + 8) after factorization by the greatest common factor.
Explanation:To find an expression equivalent to 8x - 12y + 32, we can primarily factor by finding common factors in this expression. One of the significant aspects in factorizing expressions is searching for the greatest common factor which is 4 in this case. We divide each term in the expression by the greatest common factor to obtain the equivalent expression.
So, "4(2x - 3y + 8) is an equivalent expression to 8x - 12y + 32".
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Select the correct answer. If a six-sided die is rolled 30 times, how many times can you expect to get a 6? A. 3 B. 5 C. 6 D. 10
Answers
There are 6 numbers on a die.
The probability of rolling a 6 would be 1/6 for each time you roll the die.
Multiply the number of rolls by 1/6.
30 rolls x 1/6 probability = 5 times.
The answer is B. 5
Find the mean of the set of numbers {-9,-8,4,-1}
Answers
Answer:
-3.5
Step-by-step explanation:
Remember that mean is the average.
Add all 4 numbers together and divide them by 4.
-9 + -8 + 4 + -1 = -14
-14/4 = -3.5
What is the slant height x of this square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 4 meters. The lateral edge makes a 60 degree angle with the base edge.
Answers
Answer:
= 2√3 m or 3.464
Step-by-step explanation:
Using the sine,
sin(60”) = x / 4 multiply both sides by 4
4 sin (60°) = x
4 * √3 / 2 = x
x = 2√3 m
slant height =2√3 m
Answer: The slant height is 2√3 meters.
Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.
You want to put a 2 inch thick layer of topsoil for a new 27 ft by 34 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answers
Answer:
3.78 cubic yards or just 4 to make things simple.
20 x 30 = 600 sqft x .17 or (2/12) = 102 cubic feet / 27 (cubic feet in a yard) = 3.78 cubic yards
Step-by-step explanation:
To cover a 27 ft by 34 ft garden with a 2 inch thick layer of topsoil, we would need approximately 5.75 cubic yards of topsoil from the store.
Explanation:This question involves understanding dimensions and volume. In this case, the dimensions of the garden are given in feet (27 ft by 34 ft), and the desired thickness of the topsoil is 2 inches, which is approximately 0.167 feet. To calculate the volume in cubic feet, we multiply the length, width, and height.
The formula to calculate volume is: Volume = Length * Width * Height.
So, Volume = 27 ft * 34 ft * 0.167 ft = 153.234 cubic feet
Now, to convert this volume into cubic yards (since the store sells soil in cubic yards), we use the fact that 1 cubic yard = 27 cubic feet.
So, Volume = 153.234 cubic feet / 27 = approximately 5.676 cubic yards.
Given that the store only sells in increments of 1/4 cubic yards, we will need to round 5.676 up to the nearest quarter yard. This gives us 5.75 cubic yards.
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find the area of the parallelagram
Answers
Answer:
The area of the parallelogram is 117.
Step-by-step explanation:
You do 9x13= area
9x13= 117
veta is buying a new video game for $45. she has $150 in her checking account and $5 in her wallet. which is the most reasonable way for veta to pay for the game?
Answers
Answer:
Debit card
Step-by-step explanation:
Got it right on TTM
Answer:
Debit card
Step-by-step explanation:
Hope this helps :)
if the first 15 sandwiches sold at a restaurant one day, 9 were club sandwiches. at the same rate, how many sandwiches would have to be sold for 90 of the total number of sandwiches to be club sandwiches?
Answers
Answer:
54 I think
Step-by-step explanation:
I just did 15 divided by 9 and got 5/3 and then did 90 divided by 5/3 and got 54
Final answer:
To find out how many sandwiches would have to be sold for 90 of the total number of sandwiches to be club sandwiches, set up a proportion using the given information: 9 club sandwiches out of 15 total sandwiches is equal to 90 club sandwiches out of x total sandwiches. Solve for x to find that 150 sandwiches would need to be sold in total for 90 of them to be club sandwiches.
Explanation:
To find out how many sandwiches would have to be sold for 90 of the total number of sandwiches to be club sandwiches, we can set up a proportion using the information given.
First, we know that out of the first 15 sandwiches sold, 9 were club sandwiches. This can be written as a ratio:
9 club sandwiches / 15 total sandwiches = 90 club sandwiches / x total sandwiches
Cross-multiplying, we get 9x = 90 * 15
Dividing both sides by 9, we find that x = 150
Therefore, if 150 sandwiches are sold, 90 of them would be club sandwiches.
17x -8x -9 = 76 - 40
Answers
Answer:
5
Step-by-step explanation:
17x -8x -9 = 76 - 40
17x -8x = 76 - 40 + 9
9x = 45
x = 45/9
x=5
Answer:
x = 5
Step-by-step explanation:
17x - 8x - 9 = 76 - 40
9x - 9 = 36
+9 +9
9x = 45
/9 /9
x = 5
11, 7, 3, -1,...
If 11 is defined as the first term in the sequence given above which of the following functions describes this sequence?
(Answer choices in photo)
Answers
The mathematical formula to solve this is :
f(n)= f1 + (n-1)d
We have:f(n)= 11 + (n-1)-4
f(n)= 11 -4n +4
f(n)=15 -4n
The right answer is D.
The table below shows the price for different numbers of notebook:
Number of Notebooks Price (in $)
2 12
3 18
4
5 30
What price should 4 notebooks cost if the relationship represented is proportional?
Please HELPPP!! I WILL GIVE BRANLIEST!!!!
Answers
12/2 =6 $ each
So to check if its true the 3notebooksx $6 dollars each should =$18 for 3 notebooks
5 notebooks at $6 each = $30 for 5 notebooks
so What is 4notebooks x$6 each ? =4x6 = $24 for 4 notebooks
The cost of 4 notebooks should be 24.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
Price of 2 notebooks = $12
Price of 3 notebooks = $18
And the price of 5 notebooks = $30
To determine the price of 4 notebooks,
First find the price of 1 notebook = 12 / 2 = 6
The price of 4 notebooks = 6 x 4 = 24
The required price of 4 notebooks is $24.
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Pythagorean theorem
Answers
Answer:
use pythagorean theroem lol a²+b²=c²
Answer:
I think the answer would be 4.5 miles
Step-by-step explanation: