a 38.6 kg is a marble slab is shown above. what is the density
Answers
The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.
Solution :
Given
The mass of the marble slab, m = 38.6 kg
= 38600 g
Length, l = 23 cm
breadth , w = 17 cm
Thickness, h = 4 cm
Therefore, volume of the slab is V = 23 x 17 x 4
= \($1564 \ cm^3$\)
We know,
\($\text{density}= \frac{\text{mass}}{\text{volume}}$\)
= \($\frac{38600}{1564}$\)
= \($24.7 \ g/cm^3$\)
Related Questions
Write an algebraic expression to represent the given phrase. Use x as the variable to
represent the unknown quantity.
8. The sum of a number and 20
9. The product of a number and 20
10. The quotient of 20 and a number
11. The difference of a number and 20
Choices for 8-11:
A) 20-x
D) x + 20
B) 20x
20
X
E)
C) X-20
X
20
AB)
Answers
Answer:
8) x + 20
9) 20x
10) 20/x
11) x-20
Step-by-step explanation:
8) x + 20
9) 20x
10) 20/x
11) x-20
7th- Grade question
8. A bottle contained 3 7/12 cups of juice. Then Mark drank 1 1/6 cups of the
juice. How much juice was left in the bottle?
A. 2 1/12 cups
B. 2 1/6 cups
C. 2 5/12 cups
D. 2 5/6 cups
Answers
Answer:
C
Step-by-step explanation:
3 7/12 - 1 1/6
1. Change 1 1/6 into the same denominator as 3 7/12.
3 7/12 - 1 2/12
2. Subtract whole numbers.
3 - 1 = 2
3. Subtract the fractions.
7/12 - 2/12 = 5/12
4. Answer is 2 5/12 (C).
hope this helps :)
Show your work please help me it’s due tomorrow!!!!
Answers
Answer: Consider me the brainiest. The answer is... Decimal form =4.083
Exact form= 49/12
The mixed number form=4 1/12
How do we solve fractions step by step?
Conversion a mixed number 2 1/3 to a improper fraction: 2 1/3 = 2 1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3
To find a new numerator
A; Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one-third are seven-thirds.
Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4
b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.
Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It
is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling. In other words - seven thirds plus seven quarters is forty-nine twelfths.
100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answers
A. The distributions of the periods is that using the five number summary is that
The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher medianB. The box and whisker plot of the periods is attached
A. Comparing the distributions of the periodsFrom the question, we have the following parameters that can be used in our computation:
7th Period
66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96
3rd Period
52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97
The distributions of the periods will be compared using the five-number summaries
Using a graphing tool, the five-number summaries are:
7th Period
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 963rd Period
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. Creating a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
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Solve for x and length of c
Answers
Answer:
Step-by-step explanation:
This is a SAS (side, angle, side) Triangle.
\(a^2=b^2+c^2-2bc*cosA\)
\(a^2=61^2+63^2-2(61)(63)*cos(142)\)
\(a^2=3721+6969-2(61)(63)*cos(142)\)
\(a^2=3721+6969-2(3843)*cos(142)\)
\(a^2=3721+6969-7686*cos(142)\)
We know that cos145=-0.8 so let's just assume that cos142 also is -0.8 hehehehe
\(a^2=3721+6969-7686*-0.8\)'
\(a^2=3721+6969+6148.8\)
16838.8
Square root that too (very roughly), 130.
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38
MARK
Answers
The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.
What are mixed numbers?Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).
The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.
2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.
The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.
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Question :
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38/47
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.
Based on the 99% confidence interval (0.297, 0.503), is there convincing evidence of a difference in the proportion of “big” bank customers who bank with more than one bank as compared with the “small” customers who bank with more than one bank?
Because
contained in the interval, there is
to believe there
a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with more than one bank.
Answers
Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.
To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.
Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.
Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
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Helpppppppppppppppppppppp Me pick two
Answers
Answer:
options C and E
Step-by-step explanation:
\(y=\frac{1}{3} x+\frac{8}{3} \\\\y=\frac{1}{3} x+6\)
have a nice day!!
Darren is on a super efficient diet. He started with 210 pounds 2 months ago and he now weighs 150 pounds . Find his percent of decrease.
Answers
Answer:
29%
Step-by-step explanation:
210-150/210 = 60/210 or 6/21
Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21
then we have to multiply the 6 by 4 16/21 which is about 29%
Determine the value of x in the figure below:
x = 3
x = 1.7
x = 5
x = 4
Answers
Hello!
x = the intersection
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
Answer: X=4
Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Answers
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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WILL GIVE BRAINLIEST .
Answers
Answer:
the answer is c . hope it helps
Given that DE is a midsegment for ABC and the length of DE is 8 units. What is the length of BC?
Answers
Answer:
BC = 16 units
Step-by-step explanation:
Since DE is the midsegment of the triangle, based on the midsegment theorem, thus:
DE = ½(BC)
DE = 8 units
Plug in the value
8 = ½(BC)
Multiply both sides by 2
2*8 = BC
BC = 16 units
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answers
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
Mary, Margaret, Ron, and Nick are to share a scholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000.
Find each person's share in the scholarship as well as the original scholarship amount
Answers
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
Let's denote the original scholarship amount as "P."
According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.
Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).
Now, we can sum up all the shares to equal the original scholarship amount:
Ron's share + Nick's share + Mary's share + Margaret's share = P
(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P
To simplify the equation, we can combine like terms:
(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P
Combining the fractions and constants:
(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P
16P/12 - $48,000 = P
Multiplying both sides of the equation by 12 to eliminate the denominator:
16P - $576,000 = 12P
Subtracting 12P from both sides of the equation:
4P = $576,000
Dividing both sides of the equation by 4:
P = $144,000
Therefore, the original scholarship amount is $144,000.
Ron's share: (1/3)($144,000 - $72,000) = $24,000
Nick's share: (1/4)($144,000 - $72,000) = $18,000
Mary's share: (1/4)($144,000 - $72,000) = $18,000
Margaret's share: $72,000
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
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y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answers
Here's how to do it:
Substitute y with zero:
0 = (1/3)x - 1
Add 1 to both sides:
1 = (1/3)x
Multiply both sides by 3:
3 = x
So the x-intercept of the line y = (1/3)x - 1 is (3,0). This means that the line crosses the x-axis at the point (3,0).
In conclusion, the x-intercept of the line y = (1/3)x - 1 is (3,0), which means that the line crosses the x-axis at the point (3,0).
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
Plz help I need help plz
Answers
Answer:
associative! property! of! addition!
Step-by-step explanation:
we change the order of the addends but the sum doesn't change
Answer:
The answer is A) - The associate property of addition.
Step-by-step explanation:
The sum does not change even though we changed the order of the addends!
4. The scale drawing of a baby blanket has the dimensions of 6 inches by 10 inches. The dimensions of the actual baby blanket are 30 inches by 50
inches.
What is the scale of the drawing?
Answers
The scale factor of the given drawing is expressed as: 1:5
How to find the scale factor?We are given the dimensions of the scale drawing of the blanket as:
Length = 10 inches
Width = 6 inches
We are given that the actual dimensions of the baby blanket are:
Length = 50 inches
Width = 30 inches
The size by which a shape is enlarged or reduced is called as its scale factor. It is used when we need to increase the size of a 2D shape, such as circle, triangle, square, rectangle, etc. If y = Kx is an equation, then K is the scale factor for x.
The scale factor is:
50/10 = 30/6 = 5
Thus, we have 1:5
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20x 10 <= (less then or equal to) 90
Answers
Answer:
x(less than or equal to)5
Step-by-step explanation:
add 10 to both sides
20x-10(less than or equal to) 90
+10 +10
20x (less than or equal to) 100
divide by 20 to isolate the variable
20x(less than or equal to) 100
/20 /20
x (less than or equal to) 5
Find the 13th term of the geometric sequence 4, −8, 16, ...
Answers
Answer:
Step-by-step explanation:
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answers
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
given a pair of similar triangles find the missing length x and the missing angles a,b,c
Answers
Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75
Find the missing length?Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.
find the ratio between the two triangles:
40 on the left corresponds to 50 on the right = 40/50 = 43/x
to find x:
40x = 43 × 50
40x = 215
x = 215/40
x = 53.75
"angles of similar triangles are always congruent."
a: 63
b: 88
c: 29
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Full question:
Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.
What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=5x−y=5?
Answers
Answer:
y = x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - y = 5 ( subtract x from both sides )
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 ← in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes , then
y = x + c ← is the partial equation
to find c substitute (- 7, - 6 ) into the partial equation
- 6 = - 7 + c ( add 7 to both sides )
1 = c
y = x + 1 ← equation of parallel line
find the solution -b2+2b=0
Answers
The solutions to the equation -b² + 2b = 0 are b = 0 and b = 2.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), which are connected by an equals sign (=). The expressions on each side of the equals sign can be made up of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. An equation can be solved to find the value of the variable(s) that makes both sides of the equation equal.
To find the solution of -b²+ 2b = 0, we can use algebraic manipulation as follows:
-b² + 2b = 0
Factor out -b:
-b(b - 2) = 0
From this equation, we see that either -b = 0 or b - 2 = 0:
-b = 0 or b - 2 = 0
Solving for b in each case, we get:
-b = 0 --> b = 0
b - 2 = 0 --> b = 2
Therefore, the solutions to the equation -b² + 2b = 0 are b = 0 and b = 2.
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The population of River City in the year 2000 was 400. Assume the
population increase at a rate of 6.75% per year. What's the populati
2020?
Answers
The population of the River City expanded by 10% between 2000 and 2010, and it is anticipated to grow by 8% between 2010 and 2020.
what is percentage ?A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.
given
population increase at a rate of 6.75% per year
then divide that number by the initial population and multiply by 100.
The population of the River City expanded by 10% between 2000 and 2010, and it is anticipated to grow by 8% between 2010 and 2020.
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what is the perimeter of a rhombus when the diagonals are 42cm and 40cm
Answers
Answer:
Step-by-step explanation:
P = 4 a
a = √p^2 + q^2 / 2
P = 2√p^2 + q^2 = 2 x √42^2 + 40^2 = 116cm
∴ the perimeter of a rhombus when the diagonals are 42cm and 40cm is 116cm
283838383838382828 + 8383838388828299383838383838288888 =
A
B
C
D
Answers
Answer:
8.3838384e+33
Step-by-step explanation:
283838383838382828 + 8383838388828299383838383838288888 = 8.3838384e+33
Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answers
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
A baseball team consistently wins six out of every seven games. Sabrina is a fan of the team and wants to calculate how many games they must play in order to win 42 games. She sets up the following ratio where x is the number of games they must play.
6/7=x/42
What if anything did she do wrong?
A. This ratio equation was set up correctly.
B. The 42 in the second ratio should be 49.
C. The first ratio should 642.
D. The second ratio should be flipped.
Please be fast! I will mark brainliest!
Answers
Step-by-step explanation:
No of games played = 6
Total games = 7
Sabrine wants to calculate how many games they must play in order to win 42 games. Let x is the number of games they must play.
7 G = 6 W
\(1\ G=\dfrac{6}{7}\ W\)
x games = \(\dfrac{6}{7}x\)
In order to win 42 games,
\(x=\dfrac{6}{7}\times 42\\\\\text{or}\\\\\dfrac{6}{7}=\dfrac{x}{42}\)
This ratio equation was set up correctly.
Three identical circles are inscribed in a rectangle as shown below. If the length of the rectangle is 90 cm, find the distance between the centres of the two end circles.
[Hint: answer is 60 cm. Show me the steps]
Answers
The distance between the centers of the two ends circles would be = 60cm.
How to calculate the distance between the two end circles?To calculate the distance between the two end circles that is being enclosed by a rectangle, the following is carried out as follows:
The length of the rectangle = 90cm.
The diameter of the 3 circles = 90/3 = 30cm
The distance would be calculated as the radius of circle 1+diameter of circle 2 + radius of circle 3.
That is;
= 30/2+30+30/2
= 15+30+15
= 60cm
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