The density of the brick, calculated by dividing its mass of 100g by its volume of 25cm3, is 4 g/cm³.
Explanation:The density of a substance can be calculated using the formula density = mass/volume. In this case, the brick has a mass of 100g and a volume of 25cm3. Therefore, its density would be 100g / 25cm3 = 4 g/cm³. This means that the density of the brick is 4 grams per cubic centimeter.
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Add or subtract.write each sum or difference in simplest form.
11. 3/8 + 5/24
12. 1/20 + 5/12
13. 9/20 - 1/4
14. 9/10 - 3/14
15. 3 3/8 + 5/12
16. 5 7/10 - 5/18
What information is missing? A parking structure has 3 levels. there are 47 cars on the first level and 61 cars on the third how many cars are on the second level
what is 11.4 divided by 19
Solve the question m/5= 5 what’s M
rx + sx/t = 1
solve for x
An equation is formed of two equal expressions. The value of the x in the two equation is x=t/(r+s) and x=15m/(ab-cd).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.)
(rx + sx) / t = 1
Multiply both sides of the equating by t,
[(rx + sx)/ t] × t = 1 × t
rx + sx = t
Take x as the common factor from the left side of the equation,
x(r + s) = t
Divide both sides the sides of the equation by (r + s)
(r+s)x/(r+s) = t/ (r + s)
x = t/ (r + s)
B.)
abx - cdx = 15m
Take x as the common factor from left side of the equation,
x(ab - cd) = 15m
Divide both sides of the equation by (ab - cd)
(ab - cd)x / (ab - cd) = (15m)/(ab - cd)
x = 15m/(ab - cd)
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Use the Greatest Common Factor and the Distributive property to express the sum as a product 20+35 18 + 27 64 + 40
To express sums as products, find the Greatest Common Factor (GCF) of each sum and factor it out, then use the Distributive Property to write the expression as a product.
Explanation:To express the sums 20+35, 18+27, and 64+40 as products using the Greatest Common Factor (GCF) and the Distributive Property, we need to find the GCF of each pair of numbers and factor it out.
For 20+35, the GCF is 5, so we can write it as 5(4+7).For 18+27, the GCF is 9, so we can write it as 9(2+3).For 64+40, the GCF is 8, so we can write it as 8(8+5).By applying the Distributive Property, we are effectively grouping the common factor outside of the parentheses and leaving the sum of the divided terms inside.
Find the H.C.F of the following expression 39x^7y^3z and 91 x^5y^6z^z7
13x⁵y³z is the HCF of two given expressions.
What is the highest common factor?The HCF (Highest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The HCF or GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
The given expressions are 39x⁷y³z and 91x⁵y⁶z⁷.
Here, the numbers 39 and 91 divisible by 13.
The factor x⁵y³z can divide both the expressions
So, HCF of two given expressions is 13x⁵y³z
Therefore, the HCF is 13x⁵y³z.
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Suppose that you have a data set containing 1000 tests scores. How many scores would you expect to find matching each description?
Is 500 an underestimate or overestimate for the product of 12 and 53
The number 500 is underestimate for the product of 12 and 53.
We need check whether 500 an underestimate or overestimate for the product of 12 and 53.
What is product of numbers?The product of two numbers is the result you get when you multiply them together.
Now, the product of 12 and 53 is 12 × 53 = 636
An underestimate is an estimate that is less than the actual answer to a problem.
So, the number is underestimated.
Therefore, the number 500 is underestimate for the product of 12 and 53.
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can -60 be a fraction?
Diane and Nancy split a bill of 58.40 plus a 15% tip how much did each person pay
Is 16.6 a whole number, lnteger number, or a rational number
16.6 is a rational number
A rational number is a number that can be expressed as a ratio or a fraction of two integers
Examples of rational numbers are [tex]\frac{3}{7}[/tex], [tex]\frac{1}{2}[/tex]
16.6 can be expressed as [tex]16\frac{6}{10}[/tex] 0r [tex]16\frac{3}{5}[/tex]
An integer is a number without fractions or decimals
For example, integers are 2, 3, 0 - 1000
A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.
Examples are 1, 2, 10
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How many pieces of cake have you and your 3 friends eaten out of1/2 of an eaten cake?
What is the mode of the following data set
Hello There!
Mode: Number that occurs most often in a set of numbers
-The mode would be 3-
The number 3 is the only number that occurs 5 times in the set of data. No other numbers appear more than that so our mode is 3.
When 12 is subtracted from 3 times a number, the result is 24. Find the number
Tom has a can of paint that covers 37 1/2 square meters. Each board on the fence has an area of 3/16 square meters. How many boards can he paint?
A segment measures 10 units. One end of the segment has an endpoint at three, -6. What is another possible in point to this segment
how much more is 3/8 gallon than 1/4 gallon?
Julia is a measuring a table for her room. The area of the tables 46 7/8 square feet. The length of the table is 7 1/2 feet. Julia does not want to purchase a table that is greater than 6 feet wide. Should she purchase the table? why or why not
A fossil is 254 millimeters long. How many meters long is the fossil? Enter your answer, as a decimal, in the box.
1mm = 0.001 meter
254 x 0.001 = 0.254 meters long
Which is a correct classification for the triangle?
Which value of c would make the following expression completely factored?
8x + cy
a. 2
b. 7
c. 12
d. 16
For c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
What is an expression?"It is a mathematical statement with a minimum two numbers or variables and at least one mathematical operation. "
For given example,
We have been given an expression 8x + cy
We need to find the value of c that would make the given expression completely factored.
For c = 2,
⇒ 8x + cy
= 8x + 2y
= 2(4x + y) ..............(Factor out common term)
This means c = 2 is not the required value.
For c = 12,
⇒ 8x + cy
= 8x + 12y
= 4(2x + 3y) ..............(Factor out common term)
This means c = 12 is not the required value.
For c = 16,
⇒ 8x + cy
= 8x + 16y
= 8(x + 2y) ..............(Factor out common term)
This means c = 16 is not the required value.
For c = 7,
⇒ 8x + cy
= 8x + 7y, which is completely factored
This means c = 7 is the required value of c.
Therefore, for c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
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x^3 = 125 over 27 CAN I PLEASE GET HELP
Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
Juana drove 25 miles east and then drove 25 miles west.
An elevator goes up 10 stories and then goes down 10 stories.
A chlorine ion has 17 positively charged protons and 18 negatively charged electrons.
Daniela opens a bank account and then deposits $200.
A & B for sure! Hope this helps!!
jose needs at least $95 to go on the class trip, he has saved $15 , he makes $20 for each lawn he mows . write an solved inequality to determine how many lawns jose needs to mow together .
If a bath measures 42 inches by 48 inches, what is the square footage of the bath?
Dylan is using the Distributive Property to simplify 6 x (9 + 4). Find his mistake and correct it.
What is the surface area of 3x3x1?
The surface area of a 3x3x1 rectangular prism is calculated using the formula Surface Area (SA) = 2(lw + lh + wh), resulting in a total surface area of 30 cm².
Explanation:The surface area of a rectangular prism with dimensions 3x3x1 can be calculated using the formula for surface area of a cube, which is slightly modified for a rectangular prism. The formula is Surface Area (SA) = 2(lw + lh + wh), where 'l' is the length, 'w' is the width, and 'h' is the height of the prism. In this case, the length (l), width (w), and height (h) are 3 cm, 3 cm, and 1 cm respectively.
To calculate the SA:
Multiply the length and width: 3 cm × 3 cm = 9 cm².Multiply the length and height: 3 cm × 1 cm = 3 cm².Multiply the width and height: 3 cm × 1 cm = 3 cm².Sum these areas and multiply by 2: (9 cm² + 3 cm² + 3 cm²) × 2 = 30 cm².The surface area of the 3x3x1 rectangular prism is thus 30 cm².
The surface area of a 3x3x1 cube is 54 square units.
Explanation:To find the surface area of a 3x3x1 cube, we need to calculate the total area of all its faces.
Since the cube has six faces that are all identical squares, we can find the surface area by multiplying the length of one side of the square by itself, and then multiplying that result by 6.
Surface Area = 6 x (3 x 3)
= 6 x 9
= 54
Therefore, the surface area of a 3x3x1 cube is 54 square units.
Number c is really difficult
From Mason's house, it takes 10 1⁄2 hours to drive to Los Angeles. If Mason has already driven for 7 1⁄4 hours, how many hours remain until he reaches Los Angeles?
Mason has 3 1/4 hours of driving remaining to reach Los Angeles.
To calculate the remaining time Mason needs to drive to reach Los Angeles, we subtract the time he has already driven from the total travel time. Mason's total drive time to Los Angeles is 10 1/2 hours, and he has driven for 7 1/4 hours already.
Firstly, we convert the mixed fractions to improper fractions for easy subtraction:
Total drive time: 10 1/2 hours = (10 * 2 + 1) / 2 = 21/2 hours
Time driven: 7 1/4 hours = (7 * 4 + 1) / 4 = 29/4 hours
Now, let's subtract the time driven from the total drive time:
(21/2) - (29/4) hours = (42/4) - (29/4) hours = 13/4 hours
Converting the improper fraction back to a mixed number, we get:
13/4 hours = 3 1/4 hours
Therefore, Mason has 3 1/4 hours remaining until he reaches Los Angeles.