Explanation:
First we need to find the volume of the cube
volume = length*width*height = 4*4*4 = 64 cubic cm
Then we'll divide the mass over this volume to get the density
density = mass/volume
density = (12 grams)/(64 cm^3)
density = (12/64) grams per cm^3
density = 0.1875 grams per cm^3
The notation cm^3 is another way of saying "cubic centimeter" as shorthand.
if f(x) = 3x+7 find f(x+1)
Answer:
-3
Step-by-step explanation:
3x +7 =f(x+1)
3x +7=x+1
3x-x=-7+1
2x=-6
-3
Help is due today!!!!!! Which property is used in the following? 2 x (5 + 9) = 2 x 5 + 2 x 9
A. Distributive Property
C. Associative Property
B. Commutative Property
D. None of the above
Answer:
A. Distributive Property
Step-by-step explanation:
The 2 is being distributed to the 5 and the 9.
Answer:
Distributive Property
Step-by-step explanation:
You are distributing 2➡️(5+9)
Solve for y: 3x - y^2 = 25
Answer:
Square root ( 3x - 25)
Step-by-step explanation:
3x - y^2 = 25
- y^2 = 25 - 3x
y ^2 = 3x - 25
y = Square root ( 3x - 25)
Insert the indicated number of arithmetic means between the given first and last
terms of an arithmetic sequence.
1. 2 and 32 [1]
2. 6 and 54 [3]
3. 68 and 3 [4]
4. 10and 40 [5]
5. 1⁄2 and 2 [2]
The complete Arithmetic Sequence for each of the sequences are;
1) 2, 17, 32
2) 6, 18, 30, 42, 54
3) 68, 55, 42, 29, 16, 3
4) 10, 15, 20, 25, 30, 35, 40
5) ½, 1, 3/2, 2
How to solve arithmetic sequence?
1. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 2 n = 3
a_n = a₁ + (n – 1)d
32 = 2 + (3 – 1)d
32 = 2 + (2)d
32 = 2 + 2d
32 – 2 = 2d
30 = 2d
30/2 = 2d/2
15 = d
Using d = 15, find a₂.
a₂ = a₁ + (2 – 1)15
a₂ = 2 + (1)15
a₂ = 2 + 15
a₂ = 17
2. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 6 n = 5 a_n = 54
a_n = a₁ + (n – 1)d
54 = 6 + (5 - 1)d
54 = 6 + (4)d
54 = 6 + 4d
54 - 6 = 4d
48 = 4d
48/4 = 4d/4
12 = d
Using d = 12, find a₂, a₃, and a₄.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d a₄ = a₁ + (n - 1)d
a₂ = 6 + (2 - 1)12 a₃ = 6 + (3 - 1)12 a₄ = 6 + (4 - 1)12
a₂ = 6 + (1)12 a₃ = 6 + (2)12 a₄ = 6 + (3)12
a₂ = 6 + 12 a₃ = 6 + 24 a₄ = 6 + 36
a₂ = 18 a₃ = 30 a₄ = 42
3. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 68 n = 6 a_n = 3
a_n = a₁ + (n – 1)d
3 = 68 + (6 - 1)d
3 = 68 + (5)d
3 = 68 + 5d
3 - 68 = 5d
-65 = 5d
-65/5 = 5d/5
-13 = d
Using d = -13, find a₂, a₃, a₄ and a₅.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d a₄ = a₁ + (n - 1)d
a₂ = 68 + (2 - 1)-13 a₃ = 68 + (3 - 1)-13 a₄ = 68 + (4 - 1)-13
a₂ = 68 + (1)-13 a₃ = 68 + (2)-13 a₄ = 68 + (3)-13
a₂ = 68 - 13 a₃ = 68 - 26 a₄ = 68 - 39
a₂ = 55 a₃ = 42 a₄ = 29
a₅ = a₁ + (n - 1)d
a₅ = 68 + (5 - 1)-13
a₅ = 68 + (4)-13
a₅ = 68 - 52
a₅ = 16
4. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 10 n = 7 a_n = 40
a_n = a₁ + (n – 1)d
40 = 10+ (7 - 1)d
40 = 10 + (6)d
40 = 10 + 6d
40 - 10 = 6d
30 = 6d
30/6 = 6d/6
5 = d
Using d = 6, find a₂, a₃, a₄ a₅ and a₆.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d a₄ = a₁ + (n - 1)d
a₂ = 10 + (2 - 1)5 a₃ = 10 + (3 - 1)5 a₄ = 10 + (4 - 1)5
a₂ = 10 + (1)5 a₃ = 10 + (2)5 a₄ = 10 + (3)5
a₂ = 10 + 5 a₃ = 10 + 10 a₄ = 10 + 15
a₂ = 15 a₃ = 20 a₄ = 25
a₅ = a₁ + (n - 1)d a₆ = a₁ + (n - 1)d
a₅ = 10 + (5 - 1)5 a₆ = 10 + (6 - 1)5
a₅ = 10 + (4)5 a₆ = 10 + (5)5
a₅ = 10 + 20 a₆ = 10 + 25
a₅ = 30 a₆ = 35
5. Using the formula for the nth term of an arithmetic sequence:
a_n = a₁ + (n - 1)d , find d.
a₁ = 1/2 n = 4 a_n = 2
a_n = a₁ + (n – 1)d
2 = 1/2+ (4 - 1)d
2 = 1/2 + (3)d
2 = 1/2 + 3d
2 - 1/2 = 3d
3/2 = 3d
3/2/3 = 3d/3
1/2 = d
Using d = 1/2, find a₂, and a₃.
a₂ = a₁ + (n - 1)d a₃ = a₁ + (n - 1)d
a₂ = 1/2 + (2 - 1)1/2 a₃ = 1/2 + (3 - 1)1/2
a₂ = 1/2 + (1)1/2 a₃ = 1/2 + (2)1/2
a₂ = 1/2 + 1/2 a₃ = 1/2 + 1
a₂ = 1 a₃ = 3/2
Read more about Arithmetic Sequence at; https://brainly.com/question/6561461
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if each side of a square classroom is 25 feet then what is the perimeter of the room? what is the area of the floor of the room?
Answer:
P = 100
Area = 625
Step-by-step explanation:
Area = s^2
sqrt(area) = sqrt(s^2)
area = 25*25
sqrt(25*25) = sqrt(s^2)
s = 25
P = 4*s
P = 4 * 25
P = 100
Area = s^2
s = 25
Area = 25^2
Area = 625
Write
3
6
in lowest terms.
Answer:
1/2
Step-by-step explanation:
3 is half of 6 so the answer would be 1/2.
the ratio of zoes money to yolansa's is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives (1)/(4) to zoe what is the new ratio of zoes money to yolanda
New Ratio = 19:21
This deals with ratios, fractions and basic arithmetics'.
The ratio of money of zoe to yolansa's own is 3:7.Thus, the total part for each of them will be;
Zoe; 3/10
Yolansa; 7/10
If the total money they both have is x, then they will have;Zoe; 3x/10
Yolansa; 7x/10
Now,Yolanda has $64 more than Zoe. Thus;[tex]\frac{7x}{10}[/tex] - [tex]\frac{3x}{10}[/tex] = 64
Simplifying this gives;
[tex]\frac{4x}{10}[/tex] = 64
Rearranging gives;
4x = 640
x = 640/4
x = $160
Thus, originally;
Yolanda has [tex]\frac{7}{10}[/tex] × 160 = $112
Zoe has [tex]\frac{3}{10}[/tex] × 160 = $48
Yolanda now gives [tex]\frac{1}{4}[/tex] of her money to Zoe.
Thus, she gives out [tex]\frac{1}{4}[/tex] × 112 = $28
Thus,
Zoe now has; 48 + 28 = $76
Yolanda now has; 112 - 28 = $84
New ratio of zoes money to yolandas money is;76:84
Simplifying this ratio gives;
19:21
Read more here; brainly.in/question/8398239
We are required to find the new ratio of zoes money to yolanda
the new ratio of zoes money to yolanda is 19:21
Ratio of zoes money to Yolanda's = 3:7.
Zoes = 3
Yolanda = 7
Total ratio = 3 + 7 = 10
let
x = Total money
Zoes = 3/10
Thus, the total part for each of them will be;
Zoe= 3/10x
Yolanda = 7/10x
Yolanda has $64 more than Zoe.
Therefore,
7/10x - 3/10x = 64
(7x - 3x) / 10 = 64
4x/10 = 64
cross product
4x = 64 × 10
4x = 640
divide both sides by 4
x = 640/4
x = $160
Original share:
Zoe = 3/10x
= 3/10 × 160
= 0.3 × 160
= $48
Yolanda = 7/10x
= 7/10 × 160
= 0.7 × 160
= $112
If Yolanda gives 1/4 to zoe
= 1/4 of 112
= 1/4 × 112
= 0.25 × 112
= $28
New Zoe's share = $48 + $28
= $76
New Yolanda's share = $112 - $28
= $84
Their new ratio = 76 : 84
divide by 4
= 19 : 21
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https://brainly.com/question/3796978
The vertex form of the equation of a parabola is y = 2(x+ 4)2 - 7.
What is the standard form of the equation?
Answer:
100%
Step-by-step explanation:
your answer is 4x + 9
What is 2+2
akjsdkljjjaaaaanswerjadklss
4. Tabatha is dining out at Mandee's and decides to get an order of curly fries.
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does ber
total bill come to?
Answer:
$22.33
Step-by-step explanation:
A 20% tip would be 0.20. Multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total amount including tip.
subtotal --> $18.61
tip --> $3.72
18.61 x 0.20 = 3.72
total --> $22.33
Horse races are often measured in furlongs. Oakland Park is 6 furlongs. How long is that in miles? (1 furlong = 1/8 mile)
A. 48 Miles
B. 1.33333 Miles
C. 0.75 Miles
D. 2 Miles
the length of a new rectangular playing field is 9 yards longer than double the width. if the perimeter of the rectangular playing field is 288 yards, what are it's dimensions?
Answer:
Step-by-step explanation:
Width = w
Length =2w + 9
Perimeter = 288 yards
2*(length + width) = 288
2*(2w + 9 + w) = 288
2*(2w + w +9) = 288 {Combine like terms}
2*(3w + 9 ) = 288
2*3w + 2*9 = 288 {Use distributive property}
6w + 18 = 288 {Subtract 18 from both sides]
6w = 288 - 18
6w = 270 {Divide both sides by 6}
w = 270/6
w = 45 yards
Length = 2*45 + 9 = 90 +9 = 99 yards
Length = 99 yards
Width = 45 yards
Joan got fast food for lunch. Joan paid $2.41 on a salad and $2.15 on a sandwich
with a $10 bill. Joan got a combo deal. What was the change from the purchase?
Hello :D
To do this you need to add up the cost of the sandwich and salad.
$2.41 + $2.15 = $4.56
$10.00 - $4.56 = $5.44
The answer is $5.44. I hope this helps :)
Please help if you can solve this puzzle I don’t know how to do it
Answer:
January 28 Dalton Math Skateboard
February 17 Sierra Woodshop Segway
May 9 Anastasia Art Mountain bike
May 19 Kylie History Scooter
[tex]\frac{3a-1}{8} = \frac{a+9}{4}[/tex]
Answer:
a = 19
Step-by-step explanation:
[tex] \frac{3a - 1}{8} = \frac{a + 9}{4} [/tex]
[tex]4(3a - 1) = 8(a + 9)[/tex]
[tex]12a - 4 = 8a + 72[/tex]
[tex]12a - 8a = 72 + 4[/tex]
[tex]4a = 76[/tex]
[tex]a = 76 \div 4[/tex]
[tex]a = 19[/tex]
hi can you help me ? what is 0.07 ?
Answer:
I think it's zero point zero seven.
Step-by-step explanation:
Can someone plz help me plz ??
Answer:
-5/2, -2.3, sqrt2, sqrt5, 2 1/4, 2.3, 4
The Buffalo bills are offering autographs signings they charge a supply fee of 8.00 and a player fee of 13.25 per autograph you have 50.75 to spend on autographs how many autographs can you buy
(8 ^ 4 * 9 ^ 5)/(16 ^ 2 * 27 ^ 3)
help needed plzzzzzz helppppp
Answer:
answer is 48
Step-by-step explanation:
simplified after exponents.
4,096 x 59,049/ 256 x 19,683
simplified after multipled
241,864,704/5,038,848
= 48
1.2p - 2q for p = 3.5 and q = 1.2 = ??
Answer:
1.8
Step-by-step explanation:
1.2p - 2q
Let p = 3.5 and q = 1.2
1.2 ( 3.5) - 2(1.2)
Multiply
4.2 - 2.4
Subtract
1.8
The two triangular prisms shown are similar
What is the volume of the larger prism
Answer:
D
Step-by-step explanation:
(50 Points) ∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.
Solution:The sum of supplementary angle is 180°
First, solve for the value of y.
∠1 + ∠2 = 180°(4y + 7) + (9y + 4) = 180°13y + 11 = 180°13y = 180° - 1113y = 169/13y = 13°Then, plug and substitute the value y = 13 to find the m∠2.
m∠29y + 49(13) + 4117 + 4121Answer:The angle of m∠2 is 121The measure of angle 2 is 121 degrees.
Given:
[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]
Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]
To solve this problem, create an equation to find the value of x:
Thus:
[tex]m\angle1 +m\angle2=180[/tex]
Therefore:
[tex](4y+7)+(9y+4) = 180\\[/tex]
Solve for y:
[tex]4y+7+9y+4 = 180\\\\[/tex]
Add like terms:
[tex]13y+11 = 180\\\\[/tex]
Subtract 11 from both sides
[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]
Divide both sides by 13
[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]
Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]
[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]
Therefore, m∠2 = 121 degrees.
Learn more about supplementary angles here:
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what is the answer 2(5c + 8)?
Answer:
How to solve your problem
2 ( 5 + 8 )
Simplify
Step-by-step explanation:
Distribute
2 ( 5 + 8 )
1 0 + 1 6
solution:
1 0 + 1 6
there you go
hope this helps9. A circle has a circumference of 34 meters. Which is the closest to its
radius?
Answer:
5.414
Step-by-step explanation:
Formula to find circumference is 3.14 x 2r
So we can create a algebraic expression.
3.14 x 2r = 34 / 3.14 = 10.828 / 2 = 5.414
What is the location of point A on the number line?
Group of answer choices
A. -1 1/4
B. -1 1/2
C. -2 1/4
D. -2 3/4
8 x 6 = (4 6) + (
x6)
= 24 +
Answer:
4,24,48
Step-by-step explanation:
For the first equation, they are splitting 8 in half. So 8/2 would be 4. The 4 would go in the first box.
Then 4x6 is 24 in the second box.
Then just add 24 and 24. 24+24=48
And your last answer is 48.
A box of candy was divided into three bottles P, Q and R in the ratio 9:4:11. If, instead, the candy had been divided equally between them, there would be 21 fewer pieces of candy in bottle R. How many pieces of candy were there in the box?
There are a total of 44 candies in the box.
How many pieces of candy were there in the box?The total ratio is 24
Let;
the total number of candies be xthe number of candies in R be11/22 * x = y ---- (1)
If the candies were shared equally
The ratio of candies in R will be 6
6/24 * x = y - 11 --- (2)
substitute y = 11/22 * x in (2)
6x/24 = 11x/22 - 11
x/4 = x/2 - 11
multiply through with 4
x = 2x - 44
x = 44
Therefore, there are a total of 44 candies.
Learn more about ratios at: https://brainly.com/question/2914376
Determine if 0.34375 is rational or irrational and give a reason for your answer.
Answer:
Rational
Step-by-step explanation:
The key detail in this problem is that the decimal is terminating so it's not infinitely continuous. A irrational number is a value that when in decimal form, it is infinitely continuous and never ends. Since the decimal we are working with terminates, it is rational.
Best of Luck!
Jimmy had 1000 doughnuts he gave his mum 500 how much doughnuts does he have left
Step-by-step explanation:
500 lolzzzz ...........
Answer:
500
Step-by-step explanation:
1000-500=500 Half of 1000 is 500
You have invited friends over
to watch movies. You have rented 4 movies:
one action, one science fiction, one comedy,
and one animated. In how many different
orders can you watch the movies?
Answer:
16
Step-by-step explanation:
Each could be watched in the places of 1,2,3 or 4. So each movie has 4 places it could be. Since you rented 4 movies you would do 4x4 which equals 16.
