The number of more pages that he wrote on Sunday will be 14 ³⁷/₄₀ pages.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Sebastian wrote 24 ¹/₅ of his novel on Saturday and 39 ¹/₈ pages of his novel on Sunday.
Convert the mixed fraction number into a fraction number. Then we have
24 ¹/₅ = 24 + 1/5 = 121 / 5
39 ¹/₈ = 39 + 1/8 = 313 / 8
The number of more pages that he wrote on Sunday will be given as,
⇒ 313/8 - 121/5
⇒ (1,565 - 968) / 40
⇒ 597 / 40
⇒ 14 ³⁷/₄₀
The number of more pages that he wrote on Sunday will be 14 ³⁷/₄₀ pages.
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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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9. what is the solution to
(4 x 10^3) x (6 x 10^6)
written in scientific notation?
A. 24 x 10^9
B. 2.4 x 10^9
C. 24 x 10^18
D. 2.4 x 10^10
Please I'm struggling please help
Answer:
D. 2.4 x 10^10
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Dea
How many pieces of cake have you and your 3 friends eaten out of1/2 of an eaten cake?
Solve the question m/5= 5 what’s M
what is 11.4 divided by 19
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 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
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 .
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.
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
When 12 is subtracted from 3 times a number, the result is 24. Find the number
A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.
Dylan is using the Distributive Property to simplify 6 x (9 + 4). Find his mistake and correct it.
If a bath measures 42 inches by 48 inches, what is the square footage of the bath?
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
Which is a correct classification for the triangle?
Number c is really difficult
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!!
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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Math help plz!!!
There is an average of 3.5×10^−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximately 9.88×10^18 liters of seawater.
About how many kilograms of dissolved salt are in the South China Sea?
Enter your answer, in scientific notation, in the boxes.
__ x 10^__ kg
Please help and thank you!
Answer:
3.458 × 10¹⁷
Explanation:
We multiply the amount of salt per liter, 3.5×10⁻², by the amount of sea water in the South China Sea, 9.88×10¹⁸:
(3.5×10⁻²)(9.88×10¹⁸)
Multiplication is commutative; this means we can switch around the numbers we are multiplying:
(3.5×9.88)(10⁻²×10¹⁸)
Multiplying the numbers in the first set of parentheses, we have 34.58.
To multiply the powers of 10, we use the product property; it states that if we multiply powers that have the same base, we add their exponents:
10⁻²×10¹⁸ = 10⁻²⁺¹⁸ = 10¹⁶
This gives us 34.58 × 10¹⁶. In scientific notation, the decimal must be behind the first non-zero digit; this gives us 3.458. When we move the decimal again, we add 1 to the exponent; this gives us 3.458 × 10¹⁷
The kilograms of salt in the South China Sea is required.
The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]
The amount of salt in 1 liter of seawater is [tex]3.5\times 10^{-2}\ \text{kg}[/tex]
[tex]1\ \text{liter of seawater}=3.5\times 10^{-2}\ \text{kg of salt}[/tex]
The volume of seawater in the South China Sea is [tex]9.88\times 10^{18}\ \text{L}[/tex]
[tex]9.88\times 10^{18}\ \text{liters of seawater}=9.88\times 10^{18}\times 3.5\times 10^{-2}=3.458\times 10^{17}\ \text{kg}[/tex]
The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]
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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.
Diane and Nancy split a bill of 58.40 plus a 15% tip how much did each person pay
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
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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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.
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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Suppose that you have a data set containing 1000 tests scores. How many scores would you expect to find matching each description?
x^3 = 125 over 27 CAN I PLEASE GET HELP
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 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.