Answer:
Density is usually expressed as grams per cubic centimeter.
Volume = 55 * 25 * 20 = 27,500 cc
Density = Mass / Volume = 4,000 grams / 27,500 cc
= 0.1454545455 grams/cc
which is an extremely low density
Step-by-step explanation:
The density of the box is found by dividing its mass (4000 grams) by its volume (27500 cubic centimeters), resulting in a density of approximately 0.1455 grams per cubic centimeter.
Explanation:To calculate the density of the box, you must find the mass per unit volume. The mass given is 4 kg, which is equivalent to 4000 grams since 1 kg = 1000 grams. To find the volume, multiply the length by the width by the height of the box:
Volume = Length × Width × Height = 55 cm × 25 cm × 20 cm = 27500 cm³
Now, divide the mass of the box by the volume to get the density:
Density = Mass / Volume = 4000 g / 27500 cm³ ≈ 0.1455 g/cm³
Therefore, the density of the box is approximately 0.1455 grams per cubic centimeter (g/cm³).
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2x-y=3
SHOW WORKKKKKK
Answer:
Well, y = 2x - 3.
Step 1:
Subtract 2x from both sides.
-y = -2x + 3.
Step 2:
Divide it all by negative 1.
y = 2x - 3.
IF YOU WANT TO SOLVE FOR X:
Well, x = .5y + 3/2
Which equals to:
(y + 3)/2.
Step 1:
Add y to both sides.
2x = y + 3.
Step 2:
Divide it all by 2:
x = .5y + 3/2
Which equals to:
(y + 3)/2.
They are the same.
HW 7.4/7.5 backside
Answer:
9. x=10
10. x=8
11. x=9/4=2.25
12. x=28
13. x=14
14. x=35
15. x=66
16. x=77/6
Step-by-step explanation:
9. x/20=18/36
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 18:
x/20=(18/18) / (36/18)
x/20=1/2
Solving for x: Multiplying both sides of the equation by 20:
20(x/20)=20(1/2)
x=10
10. x/12=6/9
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 3:
x/12=(6/3) / (9/3)
x/12=2/3
Solving for x: Multiplying both sides of the equation by 12:
12(x/12)=12(2/3)
x=4(2)
x=8
11. x/3=3/4
Solving for x: Multiplying both sides of the equation by 3:
3(x/3)=3(3/4)
x=9/4=2.25
12. x/42=30/45
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 15:
x/42=(30/15) / (45/15)
x/42=2/3
Solving for x: Multiplying both sides of the equation by 42:
42(x/42)=42(2/3)
x=14(2)
x=28
13. x/12=14/12
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 2:
x/12=(14/2) / (12/2)
x/12=7/6
Solving for x: Multiplying both sides of the equation by 12:
12(x/12)=12(7/6)
x=2(7)
x=14
14. x/25=28/20
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 4:
x/25=(28/4) / (20/4)
x/25=7/5
Solving for x: Multiplying both sides of the equation by 25:
25(x/25)=25(7/5)
x=5(7)
x=35
15. x/110=(160-100)/100
x/110=60/100
Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 20:
x/110=(60/20) / (100/20)
x/110=3/5
Solving for x: Multiplying both sides of the equation by 110:
110(x/110)=110(3/5)
x=22(3)
x=66
16. x/11=(x+7)/17
Solving for x: Cross Multiplication:
17x=11(x+7)
Eliminating the parentheses on the right side of the equation:
17x=11(x)+11(7)
Multiplying:
17x=11x+77
Grouping the x's on the left side of the equation: Subtracting 11x both sides of the equation:
17x-11x=11x+77-11x
Subtracting:
6x=77
Dividing both sides of the equation by 6:
6x/6=77/6
Dividing:
x=77/6
Which of the following choices is the correct translation of the statement: “the length of a rectangle if the length is twice the size of the width increased by one”?
The statement 'the length of a rectangle if the length is twice the size of the width increased by one' translates into the equation l = 2w + 1 in mathematical terms. This equation represents a relationship between the rectangle's length (l) and width (w), with the length being twice the width, increased by one.
Explanation:The correct translation of the statement 'the length of a rectangle if the length is twice the size of the width increased by one' is mathematical in nature. This sentence is describing a relationship between the length and width of a rectangle.
To put it into an equation, start by denoting the width of the rectangle as 'w'. The statement says that the length is twice this width (2w) plus one. So, the length 'l' can be represented as:
l = 2w + 1
This equation shows the relationship between the length and width of a rectangle according to given statement. For practical purposes, you can insert a numerical value for width 'w' and perform the calculation on the right side to find the length 'l'.
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The mathematical expression translating the phrase is 'L = 2W + 1', where 'L' represents length of the rectangle and 'W' represents the width. It indicates that the length is twice the width, and further increased by one.
Explanation:The correct translation of the statement 'the length of a rectangle if the length is twice the size of the width increased by one' would result in a mathematical expression for the length of the rectangle (L). If we denote the width of the rectangle as W, then we could represent the length of the rectangle as follows:
L = 2W + 1
This expression indicates that the length is twice the size of the width, and then increased by one. Depending on the value of W, we plug it into the equation to determine the length of the rectangle.
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What is the equation of the line with a slope of -2 that passes through the
point (4, -3)?
y + 3 = 4(x - (-2))
y + 4 = -2(x - 3)
y + 3 = -2(x - 4)
y + 4 = 3(x - (-2))
The point-slope form of the line:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = -2 and the point (4, -3). Substitute:
[tex]y-(-3)=-2(x-4)\\\\\boxed{y+3=-2(x-4)}[/tex]
Please help me answer both questions if they are correct I’ll give brainliest
Answer:
see explanation
Step-by-step explanation:
(4)
Under a counterclockwise rotation about the origin of 90°
a point (x, y) → (- y, x), hence
C(- 3, 4) → C'(- 4, - 3)
(5)
Under a clockwise rotation about the origin of 180°
a point (x , y) → (-x, - y), hence
A(- 3, 2) → A'(3, - 2)
what is the inverse of the function x + 2y + 3 = 0
The inverse of the function x + 2y + 3 = 0 is found by first expressing the function explicitly as y = -½x - 1½ and then swapping x and y to solve for the new y, yielding the inverse function y = -2x - 3.
Explanation:To find the inverse of a function, we typically swap the roles of x and y, and then solve for y. Given the function x + 2y + 3 = 0, we first write the function explicitly as y in terms of x:
y = -½x - ³2
Now let's find the inverse:
Swap x and y to get x = -½y - ³2.Solve for y. Multiply every term by 2 to get rid of the fraction: 2x = -y - 3.Rearrange the equation to solve for y: y = -2x - 3.This new function y = -2x - 3 is the inverse of the original function.
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What is the total number of unique triangles with side lengths of 4 centimeters. 5 centimeters, and 10 centimeters that can be drawn
There are 0 unique triangles that can be drawn with the side lengths 4 cm, 5 cm, and 10 cm
How to determine the total number of unique triangles that can be drawn
From the question, we have the following parameters that can be used in our computation:
Side lengths = 4 cm, 5 cm, and 10 cm
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, we have
4 + 5 > 10 --- false
4 + 10 > 5 --- true
5 + 10 > 4 --- true
Since one of the conditions is false, no triangles can be formed using the side lengths
an ordinary Fair die is a cube with the number 1 through 6 on the sides (represented by painted spots). imagine that such a die is rolled twice in succession and the face values of the two dice rolls are added together. this sum is recorded as the outcome of a single trial of random experiment.
compute the probability of each of the following events. event A: the sum is greater than 7. B: the sum is an even number
Event A Answer: [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:
8 = 26, 35, 44, 51, 62 (5 possibilities)
9 = 36, 45, 54, 63 (4 possibilities)
10 = 46, 55, 64 (3 possibilities)
11 = 56, 65 (2 possibilities)
12 = 66 (1 possibility)
This is a total of 15 possibilities out of 36 total: [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]
***********************************************************************************
Event B Answer: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sum is an even number means both dice are odd or both dice are even. That results in the following combinations:
11 13 15
22 24 26
31 33 35
42 44 46
51 53 55
62 64 66
This is a total of 18 possibilities out of 36 total: [tex]\frac{18}{36}[/tex] = [tex]\frac{1}{2}[/tex]
This is the section 2 test yourself test if u know the whole thing then plz tell me
Answer: D
Step-by-step explanation:
To create a perpendicular bisector:
open the compass more than half-way between points A and Buse that width and place the compass on point A and draw an arc above and below line AB use the same width and place the compass on point B and draw an arc above and below line ABDraw a line from the intersection of the arcs above and the intersection of the arcs below line ABCongrats! You just constructed a perpendicular bisector!
the regular price of a item is $150 the item was on sale at a discount rate of 30% what is the sales price of the item
y−3=2(x+1) Complete the missing value in the solution to the equation. ( -1, _ )
Answer:
The missing value for y is 3
Step-by-step explanation:
y−3=2(x+1)
We know that x=-1 and we want to solve for y
Put in x=-1
y-3 = 2(-1+1)
y-3 = 2(0)
y-3=0
Add 3 to each side
y-3+3 = 0+3
y =3
Amanda is riding her bicycle. She takes 5 hours to ride 62.5 kilometers. What is her speed?
Answer:
12.5 per kilometers
Step-by-step explanation:
to find speed is going to be distance divided by time so 62.5/5
so her speed is going to be 12.5
Amanda's average speed while riding her bicycle is found by dividing the total distance of 62.5 kilometers by the total time of 5 hours, resulting in an average speed of 12.5 kilometers per hour.
To calculate her speed, we use the formula for speed, which is speed = distance ÷ time. Applying the given values, we have speed = 62.5 kilometers ÷ 5 hours.
Therefore, Amanda's average speed is 12.5 kilometers per hour. This calculation involves dividing the total distance traveled by the total time taken, resulting in the average speed over the journey.
For two-week. John and Amanda had the following transaction occurred to their checking account a deposit of 1644 and 50 Cent Shake written for 190 45 $7.50 and a debit card transaction for $30 14514 59 another one for $7.20 and $21.30 what is the ending balance for this time frame
Answer:
$1,337.91
Step-by-step explanation:
Hello, my dear friend, I am sure the question you are intending should be corrected as follows:
For two weeks, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; checks written for $190, $45, and $7.50; and debit card transactions for $30, $5.59, $7.20, and $21.30. What is the ending balance for this time frame?
If this is the case, then see the operation for the transactions below:
1,644.5−190-45-7.5-30-5.59-7.2-21.3=1,337.91
Please note that Deposits are positive in your account while written checks and debit card charges are negative.
Solve using elimination
5x-4y=-21
-2x+4y=18
Answer:
x=-1, y=4
Step-by-step explanation:
When we solve by elimination, we are getting rid of one variable, in this case y. We will add the two equations together.
5x-4y=-21
-2x+4y=18
---------------
3x = -3
Divide each side by 3
3x/3 =-3/3
x =-1
Now we need to calculate y
-2x +4y = 18
Substitute x=-1
-2(-1)+4y = 18
2+4y =18
Subtract 2 from each side
4y = 18-2
4y=16
Divide each side by 4
4y=16/4
y =4
Please answer this correctly
Answer:
$13.66
Step-by-step explanation:
Multiply the amount of Dijon mustard and mustard by its price, then add them together.
3 * 3.69 = 11.07
.5 * 5.18 = 2.59
Add these sums together.
11.07 + 2.59 = 13.66
Landen spent LL hours at the beach last weekend. Matéo spent 15\%15% fewer hours at the beach than Landen did. Which of the following expressions could represent how many hours Matéo spent at the beach last weekend? Choose 2 answers: Choose 2 answers:
Answer: 0.85 L or [tex]\frac{85L}{100}[/tex] or [tex]\frac{17L}{20}[/tex]
Step-by-step explanation:
Since, According to the question,
Landen spent time at the beach last weekend = L hours
And, Matéo spent 15% fewer hours at the beach than Landen did.
Therefore, Number of hours spent by Matéo = (Time spent by Landen last week - 15 % of the Time spent by Landen last week ) hours
= 85% of the Time spent by Landen last week
= [tex]\frac{85\times L}{100}[/tex]
= [tex]\frac{85L}{100}[/tex] Hours
= [tex]\frac{17L}{20}[/tex] Hours
= 0.85 L Hours
Answer:
Its L(1-0.15) and L-3/20L
Step-by-step explanation:
Trust me. i got it from Khan Academy. for mine it was B and E. :3
What is the axis of symmetry for f(x) = 2x − 8x + 8? (1 point) Select one: a. x = −2 b. x = −3 c. x = 3 d. x = 2
Answer:
x=2
Step-by-step explanation:
F(x) = 2x^2 - 8x +8
Axis of symmetry lies at the x coordinate of vertex
To find x coordinate of vertex use formula
[tex]x=\frac{-b}{2a}[/tex]
from the given f(x) , a= 2 and b = -8
Plug in all the values
[tex]x=\frac{-(-8)}{2(2)}[/tex]
[tex]x=\frac{8}{4}=2[/tex]
x=2
So the axis of symmetry at x=2
x times x^n
Simplify it please and thank you!
Answer:
[tex]x^{n+1}[/tex]
Step-by-step explanation:
using the rule of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
note that x = [tex]x^{1}[/tex], hence
x × [tex]x^{n}[/tex] = [tex]x^{n+1}[/tex]
What is the greatest common factor of the terms in the expression 21x - 18x + 28xy?
Answer:
The terms are already in lowest form. The factors of 21 are 21 and 1, and 3 and 7. The factors of 18 are 1 and 18, 2 and 9, and 3 and 6. The factors of 28 are 1 and 28, 2 and 14, and 7 and 4. None of them match up so it is as low as it can be.
Step-by-step explanation:
the greatest common factor is x. because
21, -18, and 28 do not have any shared factors
Seclet the locations on the number line to plot the points -5 2/3 and 5 1/3
Step-by-step explanation:
5 1/3 means 5 and 1/3 more.
So first we count 5 unit on right side of 0. Then for 1/3 we will divide the length between 5 and 6 into three equal parts and select only 1 part
That location will be exact location of the point 5 1/3.
Repeat same process for -5 2/3 on left side of 0 because -5 2/3 is a negative number.
Check the attached graph for correct locations.
Answer:
nagetive-number
negative 3
Step-by-step explanation:
the total cost of four boxes of pasta is $14 There are 16 oz of pasta in each box of the same amount what is the maximum number of boxes that can be purchased with $65
Answer:
18.5 but rounded to 19 because you cant have half of a box
Step-by-step explanation:
because each box costs 3.5 dollars because i did 1 4 divided by 4.then you want to get to 65 so i did 3.5 divided by 65 then got 18.5 which was rounded because the decimal was big This was the real decimal 18.5714286. THIS MIGHT BE WRONG
help please having trouble SUPER EASY!
Answer:
48
because 4 * 12 is 48
Answer:
48
Step-by-step explanation:
12 x 0.25 = 48
A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.
Answer:
173.15 ft.
Step-by-step explanation:
Please find the attachment.
Let L be the length of kite.
We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.
We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.
[tex]sin(12)=\frac{36}{L}[/tex]
[tex]L=\frac{36}{sin(12)}[/tex]
[tex]L=\frac{36}{0.207911690818}[/tex]
[tex]L=173.1504364105882792\approx 173.15[/tex]
Therefore, the length of kite is 173.15 ft.
Which is true about an equilateral triangle?
Answer: all angle measures are equal
does 1/6, -3, √7, -6/5, or 4.5 comes first when the numbers are listed from least to greatest
The arrangement is as follows:
-3<-1.2<1/6<√7<4.5
What is ascending and descending order?Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A.
Given:
1/6= 0.16667
√7= 2.645
-6/5= -1.2
So, the least number is -3 and greatest number is 4.5.
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Please help me out and answer!!!!!
Really struggling
Answer:
D
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y) → (- y, x)
A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence
(x, y) → (- y, x) → (- y, x+ 3) → D
what is a mathematical statement consisting of a hypothesis and conclusion that has to be proven true
X+3y=5
-X+6y=3
solve the system of equation
A.X=1,Y=2
B.X=2,Y=1
C.X=1, Y=1
D.X=0, Y=2
Answer:
That all the answer hope i helped
Answer:
The answer will be B
Step-by-step explanation:
At a restaurant, four people ordered fried crab cakes and four people ordered a cup of gumbo, with a total of $31. If only two people had ordered the crab cakes and one person ordered the gumbo, the bill would have been $12.25. How much are each order of fried crab cakes and each cup of gumbo? (Can you please show the steps?) Thank you.
Answer:
Fried crab cakes = $4.50
Cup of gumbo = $3.25
Step-by-step explanation:
Let's make the price of fried crab cakes = x and the price of a cup of gumbo = y. Set up two equations for x and y and solve for each variable.
Setting up the equations:4 people ordered x and 4 people ordered y for a total of 31 dollars, so this equation would look like: 4x + 4y = 31
2 people ordered x and 1 person ordered y for a total of $12.25, so this equation would look like: 2x + y = 12.25
Substitution method:Now you have your two equations-- solve for a variable in one of the equations and substitute that value into the other equation.
The easiest way to start would be to solve for y in the second equation by subtracting 2x from both sides.
y = 12.25 - 2x
Substitute this value into the first equation.
4x + 4(12.25 - 2x) = 31
Now solve for x-- start by distributing 4 inside the parentheses.
4x + (49 - 8x) = 31
Combine like terms.
-4x + 49 = 31
Subtract 49 from both sides.
-4x = -18
Divide both sides by -4.
x = 4.5
Substitute this value of x into our starting equation for which we solved for y.
2(4.5) + y = 12.25
Multiply 2 and 4.5 together.
9 + y = 12.25
Subtract 9 from both sides.
y = 3.25
Each order of fried crab cakes is worth the x-value [$4.50] and each cup of gumbo is worth the y-value [$3.25].
In this system of linear equations, by denoting the cost of the fried crab cakes as x dollars, and the cost of a cup of gumbo as y dollars, we find that each order of fried crab cakes is $4.50 and each cup of gumbo is $3.25.
Explanation:The subject of this problem is linear algebra, and it can be solved using a system of linear equations. Let's denote the cost of the fried crab cakes as x dollars, and the cost of a cup of gumbo as y dollars.
From the information given in the problem, we can create the following two equations:
4x + 4y = 31 (This is from the information that four people ordered fried crab cakes and four people ordered a cup of gumbo, with a total of $31.)2x + y = 12.25 (This is from the information that if only two people had ordered the crab cakes and one person ordered the gumbo, the bill would have been $12.25.)Now, we can solve this system of equations. Divide the first equation by 2, which will give us:
2x + 2y = 15.5
Then subtract the second equation from the result, which will give us:
y = 3.25
Substitute y = 3.25 into the second equation:
2x + 3.25 = 12.25
Finally, solve for x:
x = 4.5
So, each order of fried crab cakes is $4.50 and each cup of gumbo is $3.25.
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Explain how to determine if the two expressions are equivalent using x = 6 and x = 10.
8x + 40 8(x + 5)
The expressions 8x + 40 and 8(x + 5) are equivalent because both expressions have the same value at x = 6 and x = 10
How to determine the two equivalent expressions?The expressions are given as:
8x + 40 and 8(x + 5)
When x = 6, we have:
8x + 40 = 8 * 6 + 40
8x + 40 = 88
8(x + 5) = 8(6 + 5)
8(x + 5) = 88
When x = 10, we have:
8x + 40 = 8 * 10 + 40
8x + 40 = 120
8(x + 5) = 8(10 + 5)
8(x + 5) = 120
Notice that both expressions have the same value at x = 6 and x = 10
Hence, the expressions 8x + 40 and 8(x + 5) are equivalent
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Answer:
Sample Response: If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.
Step-by-step explanation: trust