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.
If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
OA) 2 + y = 13
B) x= 13- y
OC) x+ 2 = 13
OD) y = 13 - x
Answer:
b
Step-by-step explanation:
Which of the following are equivalent to
- 5/10?
A)- 1/2.
B)-5/-10.
C)- (4/8).
D)-0.5.
E)5/-10.
Select all that apply.
a,b and e Read the paragraph from The Evolution of Useful Things.
In 1916 the company's sales manager insisted that a laboratory be formed to carry out experiments and tests to ensure quality control so that salesmen would not be embarrassed by faulty products. The laboratory in time made possible the research and development necessary to produce new and improved items in response to problems experienced by sandpaper users.
Which words from the excerpt indicate an order of the events in this paragraph?
In 1916, to carry out
to carry out, ensure
so that, in time
In 1916, in time
simplify.show work
9(20-3·8)-4²
thank you gggggggggggg
Answer:
9(20−(3)(8))−42
=9(20−24)−42
=(9)(−4)−42
=−36−42
=−36−16
=−52
F(x)=2x+8 g(x)=x+4 find f+g,f-g,fg,f over g
Gianna, Jada, and Brittney and a bunch of other friends had a horseshoe competition. Jada and Brittney were eliminated after two rounds because they were too busy texting but Gianna went onto round eight to win 47 pieces of gum. Later, she gave two to each of her friends. She only has 1 remaining. How many friends does she have?
Answer:
23 friends
Step-by-step explanation:
Let the number of friends she has = x
Total number of gum = 47 pieces
She gave 2 each to her friends, hence:
2x + 1 = 47
2x = 47 - 1
2x = 46
x = 46/2
x = 23
Therefore, the number of friends she has is 23
solve 8 + 7x = 14
solve y + (-12) = 10
Answer:First one is x=1
second is y=22
Step-by-step explanation:
Answer:
[tex]x = \frac{6}{7}[/tex] y = 22Step-by-step explanation:
For first equation:
Subtract 8 from each side, so it now looks like this: 7x = 6Divide each side by 7 to cancel out the 7 next to x. It should now look like this: [tex]x = \frac{6}{7}[/tex]For second equation:
Simplify: y - 12 = 10Add 12 to each side, so it now looks like this: y = 22I hope this helps!
Simplify:
3(8) ° . (3) -2
Will give brainliest!
30 POINTS + BRAINLIEST TO FIRST CORRECT ANSWER!
The ratio table below shows the relationship between the number of bricks in a wall and the length of the wall.
Brick Wall
Number of bricks Length (ft)
6 3
8 4
12 6
18 9
When the number of bricks is multiplied by 2, the length is multiplied by
1.
2.
3.
6.
Answer:
The length will be multiplied by 2.
Step-by-step explanation:
By looking at the first and third ratio, we know that the no. of birck have been multiplied by 2 and the length has also been multiplied by 2 .
So when the number of bricks is multiplied by 2, the length is multiplied by 2
Answer:
2Step-by-step explanation:
Using the table we observe the points
(6, 3) and (12, 6)The number of bricks doubled
6*2 = 12, andThe length is doubled accordingly
3*2 = 6So the answer is 2
worth 20 points! need help badly
Answer:
Step-by-step explanation:
FIRST ONE GOES WITH 5TH ONE 2 ONE GOES WITH 1 ONE AND LAST ONE GOES WITH 4 TH ONE
A shirt cost $18.99 with a 6.5% sales tax. What is the final cost?
Answer:
$20.22
Step-by-step explanation:
You multiply 18.99 with 0.065 to see how much extra money you have to pay. Then you add it back to 18.99 for the final cost.
What is the mean of the following data values?
53, 71, 89, 10, 62
Answer:
Ok so I kind of want you to learn how to do this because its really easy. You add up all of the numbers then you count how many numbers there are and you divide of all of the numbers that you added up and the sum of how many numbers there are for example if I had 34,65, 75, 85, 14, and 23 It would be 34+65+75+85+14+23= 269. There are 6 numbers so 269 divided by 6 and you get 44.8 IF THIS HELPS!!
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
select all input values for which f(x)=3
Answer:
Step-by-step explanation:
x=-3
Answer:
x=3
Step-by-step explanation:
-1/2y=1/2+5 what is the solution?
Answer:
-11
Step-by-step explanation:
-1/2y=1/2+5
- 1/2 y = 1+10 (by taking lcm)
2
[tex]\frac{-1}{2}[/tex] x 2y = 11
y = -11
[tex] \frac{ - 1}{ \: \: \: 2} y = \frac{1}{2} + 5[/tex]
[tex] \frac{ - 1}{ \: \: \:2} \times y = \frac{1}{2} + 5[/tex]
[tex] \frac{ - 1}{ \: \: \:2} \times y = \frac{11}{2} [/tex]
[tex]y = \frac{11}{2} \div \frac{ - 1}{ \: \: \:2} [/tex]
[tex]y = \frac{11}{2} \times \frac{ \: \: \: 2}{ - 1} [/tex]
[tex]y = \frac{ \: \: 22}{ - 2} [/tex]
[tex]y = - 11[/tex]
The value of y = -11
Therefore :-
[tex] \frac{ - 1}{ \: \: \:2} \times - 11 = \frac{1}{2} + 5[/tex]
Find the slope of the line given two points:
(8, 10) and (-7, 14)
A
m = -15/4
B
m = -24/1
с
m = -4/15
D
m = 4/15
Answer:
The answer is option CStep-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8, 10) and (-7, 14)
The slope is
[tex]m = \frac{14 - 10}{ - 7 - 8} = \frac{4}{ - 15} = - \frac{4}{15} \\ [/tex]
We have the final answer as
[tex] - \frac{4}{15} \\ [/tex]
Hope this helps you
Line L is Parallel to Line M. Find the value of x and y (pls help asap)
The value of the variables 'x' and 'y' will be 9 and 13, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Line L is Parallel to Line M.
The vertical opposite angles (10x - 17) and (8x + 1) are equal. Then the equation is given as,
10x - 17 = 8x + 1
Simplify the equation, then the value of 'x' will be given as,
10x - 8x = 17 + 1
2x = 18
x = 9
The angle (6y + 29) and (8x + 1) are the supplementary angles. Then equation is given as,
6y + 29 + 8x + 1 = 180
6y + 29 + 8(9) + 1 = 180
6y + 102 = 180
6y = 76
y = 13
The value of the variables 'x' and 'y' will be 9 and 13, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Please answer 5-8 ASAP I will give brainliest
Answer:
5. m∠A = 26
6. m∠D = 118
7. m∠E = 43
8. m∠H = 85
Step-by-step explanation: complementary= 90 supplementary = 180
5. (2x - 8) + (4x +4) = 90
6x - 12 = 90
6x = 102
x = 17
m∠A = 2x - 8
m∠A = 2(17) - 8 = 26
6. (2x + 18) + (5x + 8) = 180
7x + 26 = 180
7x = 154
x = 22
m∠D = 5x + 8
m∠D = 5(22) + 8 = 118
7. (2x + 15) + (3x + 5) = 90
5x + 20 = 90
5x = 70
x = 14
m∠E = 2x + 15
m∠E = 2(14) + 15 = 43
8. (5x - 20) + (4x + 7 ) = 180
9x - 27 = 180
9x = 207
x = 23
m∠H = 4x -7
m∠H = 4(23) - 7 = 85
how is the translation of a figure on a grid different from a reflection of a figure?
Answer:
This means that on the coordinate plane, the coordinates for the vertices of the figure will change. To graph a translation, perform the same change for each point. ... In a reflection, the figure flips across a line to make a mirror image of itself.
Step-by-step explanation:
PLEASE HELP ME ASAP !!!!!!!!!!!!!!!!!
Answer:
rational numbers
Step-by-step explanation:
all numbers are rational, but not all numbers are integers or whole numbers.
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?
Answer:
$4.7Step-by-step explanation:
step one:
Let the cost be y
to solve for the cost of a movie ticket, we need to solve the expression
y=2.75+0.10x
step two:
given that x is the number of years between 1980-2000
the number of years is 20years
put x= 20 in the expression for the cost we have
y=2.75+0.10(20)
y=2.7+2
y=$4.7
1+9+8f2–4+9f2
simplify please and thank u im in the middle of a very anoying ixl and it keeps droping then rising and im stuck at a 60
Answer:
Changes made to your input should not affect the solution:
(1): "f2" was replaced by "f^2". 5 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((((f2)+(9•(f2)))-(5•(f2)))+(4•(f2)))+(3•(f2)))+7f2
STEP
2
:
Equation at the end of step
2
:
(((((f2)+(9•(f2)))-(5•(f2)))+(4•(f2)))+3f2)+7f2
STEP
3
:
Equation at the end of step
3
:
(((((f2)+(9•(f2)))-(5•(f2)))+22f2)+3f2)+7f2
STEP
4
:
Equation at the end of step
4
:
(((((f2)+(9•(f2)))-5f2)+22f2)+3f2)+7f2
STEP
5
:
Equation at the end of step
5
:
(((((f2)+32f2)-5f2)+22f2)+3f2)+7f2
STEP
6
:
Final result :
19f2
Step-by-step explanation:
make me as brain liest
Answer:
17f^2-6
Step-by-step explanation:
all you have to do is combine all the like terms
3.2666 rounded to the nearest hundredth
Answer:
3.27
Step-by-step explanation:
Hope it helps!!!
what is 1372678590643754873564132`4526786957586534315267489557654356478392837465647389485767483994587675483993847654378299485764738293847643728237464732823456789087654321234567890-098765432234567890876543212345678909876543223456789087654321234567899876543212345678909876147687628750-2598765246468759809-50897`86574894`702`427`0849`624`0-02`7968139750805831356139856585965.1*564738291092837465748392983745657483922376447382837465473823476547832938475647838476547882376547382983746546372819127635672819928375463728192736453627189237454637281927364563728127364564738292837456473829=
ANSWER AND YOUR TE BRAINLIEST by the way round this to the nearest quadrillion.
Answer:
HAHAHAHAHA!!!!!!!! Yeah right! LOL
Step-by-step explanation:
Answer:
69420 :)
Step-by-step explanation:
1372678590643754873564132`4526786957586534315267489557654356478392837465647389485767483994587675483993847654378299485764738293847643728237464732823456789087654321234567890-098765432234567890876543212345678909876543223456789087654321234567899876543212345678909876147687628750-2598765246468759809-50897`86574894`702`427`0849`624`0-02`7968139750805831356139856585965.1*564738291092837465748392983745657483922376447382837465473823476547832938475647838476547882376547382983746546372819127635672819928375463728192736453627189237454637281927364563728127364564738292837456473829 is 69420 rounded to nearest quadrillion is juan
What is: 8x + 7 - 3x
Answer: 5x + 7
Step-by-step explanation:
Combine like terms
Simplify using the distributive property:
6(y-8)
IM GIVING BRAINLIEST
Answer:
6y - 48
Step-by-step explanation:
6 times y its 6y
6 times -8 is -48
You cannot solve further without knowing the variable
Answer; 6y−48
Step-by-step explanation:
It’s two parts help meeee please
Answer:
m∠RMS = 20°
Step-by-step explanation:
Find ∠RMS and look at the two values it crosses.
∠RMS crosses through 180 and 160.
Find the difference between the two values to get the measure:
180 - 160 = 20°
So, m∠RMS = 20°
(Its also an acute angle.)
Answer:
20
Step-by-step explanation:
The mistake is in using 160 as the answer. It isn't.
The angle is very small well under 90. It is acute.
The horizontal part of the angle is on 180 degrees of the protractor.
Therefore the angle size is 180 - 160 = 20 degrees.
2. Camilla adds 2 cucumbers for every 5 tomatoes in a veggie mix. What
is the ratio comparing cucumbers to tomatoes? *
The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock’s percent increase during this time? Round your answer to the nearest percent.
Answer:
12%
Step-by-step explanation:
amount of change/original value×100%
note: any thanks would be appreciated. thank you!
how many abtuse angles are there in a right angle?
Answer:
None
Step-by-step explanation:
In a right triangle there is one 90-degree angle and the other two have to be acute because the angles have to sum to be 180 degrees.
Solve for m.
5 + 2m = 9
Answer:
m = 2
Explanation: