The mass of brick is 2478 gram.
What is a rectangular prism?A rectangular prism has a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it has three dimensions- the base width, the height, and the length. The top and base of the rectangular prism are rectangular in shape. The pairs of opposite faces of a rectangular prism are identical or congruent.
A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches.
The volume of rectangular prism = length×width×height
= 8×3.5×2
= 56
Thus volume of brick is 56 cubic inches.
Convert inches to centimeter
1 inch = 2.54 centimeter
Therefore,
56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter
56 cubic inches = 917.676 cubic centimeter
Thus, we get,
volume of a rectangular prism = 917.676 cubic centimeter
The brick has a density of 2.7 grams per cubic centimeter
Density = 2.7 grams
The mass of brick is given by formula = density × volume
[tex]\Rightarrow[/tex] = 2.7 × 917.676
[tex]\Rightarrow[/tex] = 2477.72
[tex]\Rightarrow[/tex] ≅ 2478
Thus mass of brick is 2478 gram.
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Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string Kayla string
Answer:
10/7 feet
Step-by-step explanation:
Let e = Ethan
k = Kayla
The following equations can de derived from the equation :
1/2 e = 2/3k
multiply both sides of the equation by 2
e = 4/3k --- 1
e + k = 10 --- 2
Substitute for e in equation 2
4/3k + k = 10
7/3k = 10
multiply both sides of the equation by 3/7
k = 30/7
Substitute for k in equation 1
e = (4/3) x 30/7 = 40/7
difference in length = 40/7 - 30/7 = 10/7
Paki answer po fi d the value of k mentally
Answer:
We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.
1) 30 = k*(15/4)
To solve this, we can just multiply by (4/15) in both sides, so we get:
30*(4/15) = k*(15/4)*(4/15)
(30/15)*4 = k
2*4 = k
8 = k
2) 360 = k*√36
Here you need to remember that:
6*6 = 36
then √36 = 6
We could just replace that in the equation:
360 = k*6
now let's divide both sides by 6.
360/6 = k*6/6
60 = k
3) 64 = k*(4²)*(2²)
Here we need to remember that:
4² = 16
2² = 4
We can replace these in the equation to get:
64 = k*16*4
and 4*16 = 64
then:
64 = k*64
Now let's divide both sides by 64.
64/64 = k*64/64
1 = k
4) 100 = k*(25)*(4)
Here we know that 4*25 = 100
So replacing that in the equation we get a similar expression to the above one.
100 = k*100
Now let's divide both sides by 100
100/100 = k*100/100
1 = k
5) 6 = k*3
Here just divide both sides by 3.
6/3 = k*3/3
2 = k
how many times can 1/4 go into 6
Answer:
24 times
Step-by-step explanation:
Answer:24
Step-by-step explanation:
Please please help I will give brainliest
Answer:
67
4*4*4=64
64+3=
67
What is the change in temperature from -8°F to 14°F?
-6°F
6°F
0
-22°F
22°F
graph x<2/9 on a number line
Answer:
The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole number.)
Then the line should go left because it says x is less than 2/9. (which is right)
The line segment you should choose is the one with the open circle with an arrow going to the left.
<---O (looks like this lol.)
In an arithmetic sequence, a17 = -40 anda28 = -73. Explain how to use this information to write a recursive formula for this sequence.
Answer:
–73 – (–40) = –33.
Step-by-step explanation:
I really need someone's help please!
Answer:
Felipe subtracted 3x from both sides of the equation.
Answer:
-2
Step-by-step explanation:
first, you will subtract the 2x from 3x then take 6 away from - 8 so it would be 8 and subtract it from 6 because of where the = is and get your answer
Could someone please tell me what this means? Like is it a/6 - 1/6?
Answer:
Yes, this is similar to [tex]\frac{a}{6} - \frac{1}{6}[/tex]
Answer:
yes
Step-by-step explanation:
Given
[tex]\frac{a-1}{6}[/tex]
Then each term on the numerator is divided by 6, that is
= [tex]\frac{a}{6}[/tex] - [tex]\frac{1}{6}[/tex]
The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches
The volume of a cube with a side length of 7 inches is 343 cubic inches.
To find the volume of a cube with a side length of 7 inches, we can use the formula [tex]V = s^3[/tex], where V represents the volume and s represents the side length.
Substituting the given side length into the formula, we have:
[tex]V = 7^3[/tex]
To simplify the expression, we raise 7 to the power of 3, which means multiplying 7 by itself three times:
V = 7 * 7 * 7
V = 343 cubic inches
Therefore, the volume of a cube with a side length of 7 inches is 343 cubic inches.
The complete question is
The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches is equal to ____.
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PLEASE PLEASE HELP HELP PLEASE
Answer:
1. product 2. difference 3. quotient 4. sum 5. dividend
simplify (8x^3 + 7x^2 - 3x + 6) + ( -2x^2 - 5x + 4 )
Answer:
hello! :) have a good day!
8x³ + 5x² − 8x + 10
How many liters of 70% acid solution must be mixed with a 15% acid solution to get 550L of a 60% acid solution
9514 1404 393
Answer:
450 L
Step-by-step explanation:
Let x represent the number of liters of 70% solution needed. Then the amount of 15% solution needed is (550-x), and the total amount of acid in the mixture is ...
0.70x + 0.15(550-x) = 0.60(550)
0.55x + 82.5 = 330 . . . . simplify
0.55x = 247.5 . . . . . . . . . subtract 82.5
x = 450 . . . . . . . . . . . divide by 0.55
450 liters of 70% acid solution must be used.
The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value
Answer:
Median
Step-by-step explanation:
74,83,87,90,92,93,94
Add them together then divide by how many are there to get the median. Then check the data.
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64
Answer:
C. 32
Explanation:
The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Please give Brainliest
Works Cited:
https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.
The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
The square-cube law states that "When an object undergoes a proportional increase in size,
its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.
" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
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(sat prep) find the value of x
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
Omar rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 74 cents for each mile driven. Omar had to pay
$166.95 when he returned the truck. For how many miles did he drive the truck?
[tex]15.99 + 0.74(m)[/tex]
[tex]15.99 + 0.74(m) = 166.95[/tex]
[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]
[tex]0.74m = 150.96[/tex]
[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]
[tex]m = 204[/tex]
He drove 204 miles.
The relationship between the postage rate and the weight of a letter can be defined by a piecewise function. The graph shows the 2018 postage rates for using regular service to mail a letter. Kiran and Mai wrote some rules to represent the postage function, but each of them made some errors
Kiran equation is incorrect because there are two rates when the weight is 1,2, and 3 ounces, also, the first symbol is incorrect; on the other hand, Mai is incorrect because the prices for 1, 2, and 3 ounces are not correctly expressed.
What is a function?A function is an expression that shows how two factors, in this case, rate and weight are related. These functions are usually created based on specific data and they should relate the data correctly.
What was Kiran's mistake?1. There are two rates for 1, 2, and 3 ounces: The use of symbols Kiran used to explain the rate for 1, 2, and 3 ounces is incorrect. Let's examine an example:
0.71 1 ≤ w ≤ 20.92 2 ≤ w ≤ 3It seems the rate for 2 pounds can be both 0.71 and 0.92 because in the first line if the weight is less or equal to 2, the rate is 0,71 and this also happens in the second line.
2. The first symbol he used is incorrect because it seems like there is a charge even if the weight is 0, which is impossible.
0.50 0 ≤ w ≤ 1 (The rate if the weight is less or equal to 0 is 0.50)What is Mai's mistake?1. Similarly to Kiran she did not express the rate and the pounds correctly. Let's look at one example:
0.71 1 < w < 2 (if the weight is less than 2 the rate is 0.71, which is incorrect because the rate is 0.71 if the weight is less or equal to 2)Note: This question is incomplete; here is the missing section:
Identify the error in each person's work:
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Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks in a week?
There are 16 cups in a gallon.
Answer:
Katie drinks 56 cups (3.5 gallons) of water in one week.
Step-by-step explanation:
16 - 0.5 (1/2) = 0.5 (1/2)
16 - 1/2 = 8
8 x 7 days (1 week)
= 56 cups
Katie drinks 56 cups (3.5 gallons) of water in one week.
New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1 in: 50 miles?
Answer: 4.1 inches
Step-by-step explanation:
From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.
The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.
Therefore, x:205 = 1:50
Cross multiply
x/205 = 1/50
50x = 205
x = 205/50
x = 4.1 inches
The answer is 4.1 inches
Enter the correct answer in the box.
What is the standard form of function f?
[tex]f(x)=4(x+6)^2+5[/tex]
Substitute numerical values into the equation for a, b, and c.
[tex]f(x)=ax^{2} +bx+c[/tex]
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
7.1 added to a number equals 10.3?
The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.
I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
The answer are
CX=10/3
ML=76
Step-by-step explanation:
NUMBER 4
We know that the averages are divided 1 to 2 by the base
[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]
NUMBER 5
[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]
011
Question Help
in a race, 16 out of the 25 bicyclists finished in less than 30 minutes. What percent of bicyclists
finished the race in less than 30 minuten Write an equivalent fraction to find the percent
Answer:
[tex]\frac{16}{25}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{64}{100}[/tex] = 64%
Step-by-step explanation:
what is m
A.
B.
C.
D.
Answer: .B.
Step-by-step explanation
2 A town park has two biking trails. Marsh Trail is 5 miles long. Woodland Trail is
2 miles long. How much longer is Marsh Trail than Woodland Trail?
Show your work.
How do I show my work and what is the answer
Answer:
25/10
Step-by-step explanation:
Make the fractions improper by multiplying the whole number by the denominator and then adding the numerator (if this makes sense).
This makes 5x10=50+3=53/10
Do the same for the second fraction. 2x5=10+4=14/5
Then make the denominators the same, and in this case all you need to do is multiply both sides of 14/5 by 2, so that makes 28/10.
Now, just take it away.
53/10-28/10=25/10, which can be then simplified into 2 1/2 or 5/2.
~!¡! Attributes !¡!~
~I'm new to this~
Which expression has a value closest to 1? (Use 3.14 as the value of 1.)
A.
77
V10
B. 75-V74
O C.
V37-V26
3V5 – V20
D.
Answer:
C: √37 - √26
Step-by-step explanation:
√37 = 6.083
√26 = 5.1
6.083 - 5.1 = 0.983
Answer:
C
Step-by-step explanation:
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2
Answer:
(-2.5, 7.5)
Step-by-step explanation:
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2
Using the formula for calculating the mid point segment expressed as;
X = ax1+bx2/a+b
Y = ay1+by2/a+b
Given
x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2
Substitute
X = 3(-9)+2(11)/2
X = -27+22/2
X = -5/2
X = -2.5
Similarly
Y = 3(-1)+2(9)/2
Y = -3+18/2
Y = 15/2
Y = 7.5
Hence the required coordinate point is (-2.5, 7.5)