Given:
A right rectangular prism is packed with cubes of side length [tex]\dfrac{1}{5}[/tex] inch.
Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.
To find:
The volume of the prism
Solution:
Side length of each cube [tex]=\dfrac{1}{5}[/tex] inch.
15 cubes along the length, so length of prism is
[tex]l=15\times \dfrac{1}{5}=3\text{ inches}[/tex]
6 cubes along the width, so width of prism is
[tex]b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}[/tex]
5 cubes along the height, so height of prism is
[tex]h=5\times \dfrac{1}{5}=1\text{ inch}[/tex]
Now,
Volume of rectangular prism is
[tex]V=l\times b\times h[/tex]
[tex]V=3\times \dfrac{6}{5}\times 1[/tex]
[tex]V=\dfrac{18}{5}[/tex]
[tex]V=\dfrac{3\times 5+3}{5}[/tex]
[tex]V=3\dfrac{3}{5}\text{ cubic inches}[/tex]
Therefore, the correct option is B.
What is the slope of the line that contains the points (1,-19) and (-2,-7)? Write in simplest form
Answer:
-4
Step-by-step explanation:
Expand: log 4(x/ y^5z)
Answer:
log4+logx-5zlogy
Select the coordinates of two points that are on the line x = 5.
Answer:
anything as long is 5 is in the x spot, ex: (5, 1) or (5, 2)
Step-by-step explanation:
x=5 is a straight line up from the x axis where 5 is, meaning it has an undefined slope
what is the slope or the line going through (0,0) (6,8) A: -6/8 B: -3/4 C: 3/4 D: 8/6
Start at (0,0). To get to the other point, you must move up 8 units and move to the right 6 units.
slope = rise/run = (change in y)/(change in x) = 8/6
Or you could use the slope formula
m = (y2-y1)/(x2-x1)
m = (8-0)/(6-0)
m = 8/6
Normally I would reduce, but your teacher has decided not to.
8/6 reduces to 4/3 when you divide both parts by 2.
is 2.125 a rational number
Answer: Yas
Step-by-step explanation:
PLZZZZZZZ HELP ASAP!!!!!!!!! In a negative feedback loop, the initial signal is:
Question 15 options:
remains unchanged
canceled out
amplified to a climax
Answer:
Remains unchanged
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a negative feedback loop, the product of the loop inhibits whatever initiated the loop, preventing more product from being formed.
This is in contrast to a positive feedback loop, where the product of the loop further stimulates whatever initiated the loop, resulting in even more product being formed.
evaluate (101.5)²-(100.5)²
You can exploit the difference-of-squares identity,
a² - b² = (a - b) (a + b)
Then
101.5² - 100.5² = (101.5 - 100.5) * (101.5 + 100.5)
101.5² - 100.5² = 1 * 202
101.5² - 100.5² = 202
Can anyone help meee?
Answer:
d.140
Step-by-step explanation:
Richard earns $25 allowance each week how can she mentally compute her total earnings after seven weeks
she would have to multiply 25 × 7 to get $175
Rewrite the equation below so that it does not have fractions.
4 - 2/3x = 5/6
Answer:
I think it's 19/4 because I looked it up and that's what it said
Use mental math to find the sum of 25.65, 13.23, and 6.35.
A. $45.23
B. $45.35
C. $46.00
D. $46.23
I NEED HALP PLEASEEEEE
Answer:
d
Step-by-step explanation:
Answer:
A. 45.23
Step-by-step explanation:
25.65 + 13.23 + 6.35 equals 45.23.
Which is the solution set of a for-3(-x + a) + 7 < 5 when x = -1?
Pls help ASAPPPPPP!!!!!!! 95 pointssss pleaseeee
Answer:
C.
Step-by-step explanation:
3-3a+7<5
3a+7<2
3a>-5
a > [tex]\frac {5}{3}[/tex]
HELP PLZ!!!!!!!!!!!! 30POINTS!!!!!!!!
Answer:
A
Step-by-step explanation:
just watch and go with the flow
How many minutes did the largest number of deliveries take in Week 2?
help pls
Answer:
30. Have a nice day! :)
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
look at the green line and see where it stop
20 - 9x = x + 10x
What is X?
if a translation take triangle CAT to C’A’T’, what is A’T’?
Answer:
Option (1)
Step-by-step explanation:
If a translation takes the triangle CAT to triangle C'A'T', transformation will be the rigid transformation or Isometry.
By the definition of rigid transformation, shape and size of the image and preimage remains the same.
Therefore, length of the sides of ΔC'A'T' will remain same as ΔCAT after the translation.
Option (1) √10 will be the answer.
Answer:
√10 (option 1) is the answer. (FLVS)
Step-by-step explanation:
Hope this helps
Plz help.. I asked this question on English, but no one answered.
Thoreau uses the following words to present his theories about simple, principled living. To practice using these words, write the letter of the word that is closest in meaning next to each numbered term.
WORD LIST:
A. abject D. impetuous G. pervade
B. congenial E. misgiving H. transgress
C. deliberately F. perturbation
1. err-- 2. wretched-- 3. impulsive-- 4. doubt--
5. disturbance-- 6. friendly-- 7. thoughtfully-- 8. permeate--
Answer:
Step-by-step explanation:
A. abject - 2. wretched
B. congenial - 6. friendly
C. deliberately - 7. thoughtfully
D. impetuous - 3. impulsive
E. misgiving - 4. doubt
F. perturbation - 5. disturbance
G. pervade - 8. permeate
H. transgress - 1. err
Hope this helps :)
Answer:
Step-by-step explanation:
A. abject - 2. wretched
B. congenial - 6. friendly
C. deliberately - 7. thoughtfully
D. impetuous - 3. impulsive
E. misgiving - 4. doubt
F. perturbation - 5. disturbance
G. pervade - 8. permeate
H. transgress - 1. err
Hope this helps :)
A car used 1 2/5 gallons of gasoline to travel 50 3/4 miles. How far can the car travel on 1 gallon of gasoline?
Answer:
36 1/4
Step-by-step explanation:
you had to divide the miles into gallons
A car can travel [tex]36\frac{1}{4}[/tex] Miles on 1 gallon of gasoline.
What is an improper fraction?A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.
Given, a car used [tex]1\frac{2}{5}[/tex] gallons of gasoline to travel [tex]50\frac{3}{4}[/tex] Miles.
In order to solve the problem:
First, we solve covert the mixed fraction to improper fraction.
That means,
[tex]1\frac{2}{5}[/tex] = 7/5
[tex]50\frac{3}{4}[/tex] = 203/4
That means, a car used 7/5 gallons of gasoline to travel 203/4 miles.
To find the distance of car can travel on 1 gallon of gasoline:
203/4 ÷ 7/5
= 203/4 x 5/7
= [tex]36\frac{1}{4}[/tex] Miles.
Therefore, car can travel [tex]36\frac{1}{4}[/tex] Miles on 1 gallon of gasoline.
To learn more about the improper fraction;
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HELPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEE ITS DUEEEEEEEEEEEEEEEEEEE
Answer:
Look below.
Step-by-step explanation:
13.)
The lines are neither because the slopes are reciprocals.
14.)
The lines are perpendicular because the slopes are opposite reciprocals.
MULTIPLY MIXED NUMBERS
Andy's phone plan charges $0.45 per text message plus a $20 monthly fee. Jeff's plan charges $0.20 a text plus an additional $35 monthly fee. Which equation can be used to determine when the phone plans will cost the same based on the number of texts?
Answer:
20+0.45x=35+0.20x
Step-by-step explanation:
From the information given, you can say that Andy's plan cost would be equal to Jeff's plan cost and then solve for the number of text to find when the phone plans will cost the same:
20+0.45x=35+0.20x, where x is the number of texts
Now, you can solve for x:
0.45x-0.20x=35-20
0.25x=15
x=15/0.25
x=60
According to this, the equation that can be used to determine when the phone plans will cost the same based on the number of texts is 20+0.45x=35+0.20x.
HELP!!!!!!!!!!! Please like fast please and thank you
Answer:
C
Step-by-step explanation:
39-7=32
40-7=33
41-7=34
42-7=35
The number of items on two grocery lists differs by 7. The total number of 1
items is 33. How many items are on each list? Use n as your variable.
Answer:
n=26
n=33
Step-by-step explanation:
HELP :(((
a. 168
b. 62
c. 625
d.25
Answer:
A.
Step-by-step explanation:
24 x 7 = 168
Answer:
The answer is 25 units for the DF measurement
Step-by-step explanation:
can you help me answer the question?
Step-by-step explanation:
Uh, uh, uh, uh
Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through
'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
PLEASE HELP ME! I WILL MARK YOU BRAINLIEST 36 POINTS AWARDED TO THE PERSON THAT ANSWERS
Answer:
Step-by-step explanation:
I got 900000
Answer:
900000
Step-by-step explanation:
10^5 is 100000
100000*5 is 900000
HELP QUICK!!!!! PICTURE
Answer:
The answer will be A
Answer: a. 2.3 x 10³
Step-by-step explanation:
You first divide 6.9 by 3 which is 2.3
When dividing numbers with exponents you subtract them, so you subtract th exponent 8 by the exponent 5 which is 3 (10³)
Half the product of two numbers x and y minus five times a third number z
Answer:
(1/2)x =y-5+3z
Step-by-step explanation:
The expression for Half the product of two numbers x and y minus five times a third number z, [tex]\frac{xy}{2} - 5z[/tex]
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
A statement, Half the product of two numbers x and y minus five times a third number z
The expression for the given statement = ?
First line- Half the product of two numbers x and y
⇒ [tex]\frac{xy}{2}[/tex]
Second line- five times a third number z
⇒ 5z
Third operation-
Minus both the expressions
⇒ [tex]\frac{xy}{2} - 5z[/tex]
Hence, the expression is [tex]\frac{xy}{2} - 5z[/tex]
To know more about Expressions check:
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Can someone please help me!!!
Answer:
The base angles for 1 are L and J
Vertex angle is H
The legs are the lines on each side of the triangle
Step-by-step explanation:
Select all equations that are equivalent to (5x+6)2=3−(4x+12) .
a. 5x+6=3−(4x+12)
b. (5x+6)2=−4x−9
c. 52x+3=3−(4x+12)
d. (5x+6)2=−4x+15
e. 5x+6=−8x−18
Answer:
B
Step-by-step explanation:
ita only b .............
The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.
Option B is correct.
The very first thing to do is to solve the expression in the given question.
SO,
(5x + 6)2 = 3-(4x +12)
Open brackets
10x + 12 = 3 - 4x - 1210x + 12 = -4x - 9Collect like terms
10x + 4x = -9 - 1214x = -21x = -21/14
Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.
Starting with Option (a)
5x + 6 = 3 - (4x + 12)
Open brackets
5x + 6 = 3 - 4x - 125x + 6 = -4x - 95x + 4x = -9 - 69x = -15x = -15/9Option (a) is incorrect
b.
(5x + 6 )2 = -4x - 9
Open brackets
10x + 12 = -4x -9Collect like terms10x + 4x = -12 -914x = -21x = -21/14Option (b) is correct
(c.)
52x + 3 = 3 - (4x + 12)
Open brackets
52x + 3 = 3 - 4x - 1252x + 3 = -4x - 952x + 4x = -9 - 356x = - 12x = -12/56x = -3/14Option (c) is incorrect
(d)
(5x + 6)2 = -4x + 15
Open brackets
10x + 12 = -4x + 1510x + 4x = -12 + 1514x = 3x = 3/14Option (d) is incorrect
(e)
5x + 6 = -8x - 18
Collect like terms
5x + 8x = -18 - 613x = - 24x = -24/13Option (e) is incorrect
Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.
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