To divide 2 and 5/14 by (2 and 5/8 times 1 and 3/7), convert the mixed numbers to improper fractions, multiply the fractions in the denominator and numerator separately, and then divide by multiplying by the reciprocal of the second fraction. The final answer is 44/5.
Explanation:To divide 2 and 5/14 by (2 and 5/8 times 1 and 3/7), we first need to convert the mixed numbers into improper fractions. 2 and 5/14 can be written as 33/14, 2 and 5/8 can be written as 21/8, and 1 and 3/7 can be written as 10/7. Next, we can multiply the fractions in the denominator and the fractions in the numerator separately. So (2 and 5/8 times 1 and 3/7) becomes (21/8 times 10/7). This can be simplified to (105/8 times 10/7). We then multiply the numerators (105 * 10) and the denominators (8 * 7) resulting in 1050/56.
Now we can divide 33/14 by 1050/56. Division is the same as multiplying by the reciprocal of the second fraction. So 33/14 divided by 1050/56 is the same as 33/14 times 56/1050. We can simplify this by canceling common factors. After canceling, we are left with (33 * 8) / (2 * 15), which becomes 264/30. Finally, we can reduce this fraction to its simplest form by dividing the numerator and denominator by their greatest common factor, which is 6. So the final answer is 44/5.
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Two less than the product of a number and -5 is -42
The value of that number such that two less than the product of a number and -5 is -42 will be 8.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
If and only if the number being multiplied is more than one, multiplication produces a resultant number that is significantly larger than the original number.
Let's say that number is x
Given condition
Product of x and -5 = -5x
Two is less than = -5x -2
Equal to -42
So,
-5x - 2 = - 42
x = 8
Hence the correct answer is 8.
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Could someone pls help
What is the LCM of two numbers that have no common factors greater than 1?
Write the subtraction fact 10-3 two ways
The Subtraction [tex]10-3[/tex] is equal to [tex]\boxed7[/tex].
Further Explanation:
Given:
The expression is [tex]10-3[/tex].
Calculation:
Suppose John has [tex]10[/tex] chocolates in his pocket. He eats [tex]3[/tex] chocolates and then he wants to know how many chocolates he has.
The number of chocolates left can be obtained as,
[tex]10 - 3 = 7[/tex]
John left with [tex]7[/tex] chocolates.
The second way to subtract two numbers is number line.
A straight line that has all real numbers is known as number line.
Steps involve in subtraction of two numbers are as follows.
Step 1
Jump forward the number of times the first number is.
Step 2
Jump backward the number of times the second number is.
Here, we have to subtract 3 from 10.
Steps are as follows,
1. Jump 10 times forward on the number line.
2. Jump 3 times backward on the number line.
The final position is the answer that is 7.
Kindly refer to the image attached to the question.
Learn more:
1. Learn more about multiplication of two numbers https://brainly.com/question/573729
2. Learn more about subtraction of two numbers https://brainly.com/question/5723059
3. Learn more about division https://brainly.com/question/545132
Answer details:
Grade: junior School
Subject: Mathematics
Chapter: Subtraction
Keywords: subtraction, two ways of subtraction, fact of subtraction, expression, number line, jump, ten, three, seven, real numbers.
Atticus wants to buy of a square yard of wrapping paper. The paper costs $2.40 per square yard. How much will Atticus spend on the wrapping paper?
a.$1.60
b.$4.80
c. $7.20
d. $9.20
Final answer:
Atticus will spend $1.80 on the wrapping paper when purchasing ¾ of a square yard at a cost of $2.40 per square yard, multiplying 0.75 by 2.40. However, this is not an option provided, indicating a possible typo. The closest choice to the correct answer given the options would be $1.60. (Option a)
Explanation:
The question asks how much Atticus will spend if he wants to buy ¾ of a square yard of wrapping paper, and the cost of one square yard of wrapping paper is $2.40. To find the cost of ¾ of a yard, we multiply ¾ by the cost per square yard. Here is the calculation:
Cost of ¾ yard = ¾ * $2.40
First, we convert ¾ into a decimal to make multiplication easier:
¾ = 0.75
Now, multiply:
0.75 * $2.40 = $1.80
Therefore, Atticus will spend $1.80 on the wrapping paper. However, this amount is not listed in the answer choices provided. If this is simply an error in the choices given, Atticus would spend $1.80, but based on the options presented, the closest correct choice would be (a) $1.60, suggesting there may be a typo in the question.
Convert the fraction to a decimal. Round to the nearest hundredths. 24/76
WhAt is the answer to -12 - 3=-51
8x-2y=12 solve for y and slope
The required solution is y = 4x - 6 and slope is 4.
What is the equation of line?The general equation of straight line is
y = mx + c
where, m is the slope
and c is the intercept where the line cuts the y-axis.
Now the given equation is,
8x - 2y = 12
Dividing whole equation by 2 we get
4x - y = 6
Substacting 4x to the both side,
4x - y -4x = 6 -4x
Solving,
- y = 6 -4x
Multiplying whole equation by -1 we get,
y = 4x - 6
Comparing the above equation with the general equation of line
y = mx + c
Hence we get,
m= 4 which the slope,
and c = -6
Hence,the required solution is y = 4x - 6 and slope is 4.
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What is the length of line segment AB?
Answer:
10 units
Step-by-step explanation:
math question down below
in part a and in part b, use each of the digits 2, 3, and 4 exactly once.
B: Write a mixed number that has a repeating decimal, and write the decimal.
I already have the answer to A. Plz help me. thx ;)
Step-by-step explanation:
you need yo add and multiply the munbers
what is the cube root of 8/25
what is the definition of perfect cube and can you give an example
Final answer:
A perfect cube is a number that results from an integer being multiplied by itself two additional times. The number 27 is an example of a perfect cube, which is the result of 3 × 3 × 3. While the concept of a cube is also significant in chemistry, the mathematical perfect cube is different from geometric or chemical descriptions of cubes.
Explanation:
A perfect cube is a number that can be expressed as the product of an integer multiplied by itself three times. It is the cube of an integer. For instance, when you multiply 3 × 3 × 3, you get 27, which is a perfect cube because it is the result of an integer (3) multiplied by itself two more times.
The number 27 is an example of a perfect cube in mathematics.A Rubik's cube, such as the one described with a volume of 185.2 cm³, is a real-world example of a cubic shape, although not related to the mathematical concept of a perfect cube.The properties of geometric shapes, like a cube, are significant in various fields, including chemistry, where the concepts of face-centered cubic unit cell become important in studying crystal structures.
6.8+4.3+5.6 estimate a range for each sum
Formula for Area of this one. Which one is the base x height. Show your work.
what number is 5% of 60?
Answer: 3
Step-by-step explanation: To find 5% of 60, first rewrite 5% as a decimal by moving the decimal point two places to the left to get .05.
Next the word "of" tells us we need to multiply so we multiply .05 by 60.
(.05) (60) = 3.00
Therefore, 5% of 60 is 3.
Image provided.
Hideki is collecting pennies . Each month in may, june, and july he put 200 pennies in a jug . He put 300 pennies in th jug in August and 300 in September. How many pennies did Hideki put in the jug between May and September ?
What is the value of g? 25(g−7)=3 Enter your answer in the box
Answer: The value of g is 7.12.
Explanation:
The given equation is,
[tex]25(g-7)=3[/tex]
Use distributive property to solve the equation.
[tex]25g-175=3[/tex]
Using addition property of equality add 175 both sides.
[tex]25g-175+175=3+175[/tex]
[tex]25g=178[/tex]
Using division property of equality, divide both sides by 25.
[tex]\frac{25g}{25} =\frac{178}{25}[/tex]
[tex]g=\frac{178}{25}[/tex]
[tex]g=7.12[/tex]
Therefore the value of g is 7.12.
To check the answer put the value of g in given equation.
[tex]25(7.12-7)=3[/tex]
[tex]25(0.12)=3[/tex]
[tex]3=3[/tex]
LHS is equal to RHS, therefore the value g=7.12 is correct.
There is an average of 3.5 x 10^−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximately 6.6 × 10^20 liters of seawater. About how many kilograms of dissolved salt are in the Pacific Ocean? Enter your answer, in scientific notation, in the boxes. __×__10 kg
To find how many kilograms of dissolved salt are in the Pacific Ocean, multiply the amount of salt per liter by the total volume of water, giving a total of 2.31 x 10^19 kg.
The Pacific Ocean contains approximately 6.6 × 1020 liters of seawater, with an average of 3.5 x 10-2 kilograms of dissolved salt per liter.
To calculate the total amount of salt in the Pacific Ocean, you multiply the amount of salt per liter by the total volume of water.
So, the total amount of salt in the Pacific Ocean is 2.31 x 1019 kg.
A photograph is 5 1/3 inches wide. It is being enlarged to 3 times its original size. What is the width of the enlarged photograph?
Select all that apply.
Which of the following statements are true of the greatest common factor of two numbers?
A. Each number must share the factor.
B. The number must be large.
C. The greatest common factor could be 1.
D. The number must be the largest factor both numbers share.
and why cant it be the others
PLEASE HELP!!
Answer:
A,C,D is the answer
Step-by-step explanation:
The graph of the function f(x) = –(x + 1)2 is shown.
Answer:
Use the drop-down menus to complete the statements.
In order for f–1(x) to be a function, the domain of f(x) can be restricted to
✔ x ≥ 1
.
Under this restriction, the domain of f–1(x) would be
✔ x ≥ 2
, having the same minimum value as the
✔ range of f
.
Step-by-step explanation:
Alex has 175 baseball cards.Rodney has 3 times as many baseball cards as Alex.How many fewer cards does Alex have than Rodney?
Courtney takes 2.4 x 10 to the 4th power steps during her long distance run each step covers an average of 810 mm what's the distance and then it is that going to cover during her run and scientific notation then convert the distance to the appropriate unit kilometers write answer in standard form
what answer i need fast
2/3 cup pineapple for every 1/3 cup OJ
there are three 1/3 cups in 1 cup
so multiply 2/3 by 3
2/3 * 3 = 6/3 = 2
2 cups of pineapple juice is needed
Shaniqua starts a bank account with a $120 deposit. By the end of 12 months, she hopes to have saved $900. She knows that she can save $30 per month from her paycheck, but can earn some extra money by tutoring on the weekend. How much extra per month does Shaniqua need to save in order to meet her goal? Select the equation that best represents this situation and solution.
you finished 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?
i just need to know what the fraction is , i can figure out the decimal part , but does anyone know the answer?
Answer:
Fraction is 7/26 and decimal is 0.269
Mr. Collins is constructing a fence around his property. He already has 25 sections up and plans to add 8 sections each Saturday until he is finished. Find the total number of fence sections standing after 15 Saturdays.
The total number of fence sections standing after 15 Saturdays will be 145.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Mr. Collins has 25 sections up.
And, He plans to add 8 sections each Saturday until he is finished.
Now,
By the given condition we formulate;
The total number of fence sections standing after 15 Saturdays is calculated as;
= 25 + 8 x 15
= 25 + 120
= 145
Thus, The total number of fence sections standing after 15 Saturdays will be 145.
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A plumber charges $30 per hour and $42 for each hour of overtime. For a job, the plumber works 3 regular hours, h overtime hours,and charges $195 for new parts. The total amount of the bill for the job is $390. Write and solve an equation to find the number of overtime hours the plumber worked.