To solve 1/7 x 2/3, you multiply the numerators together and the denominators to get 2/21. However, you can simplify the fraction to get your final answer, which is 1/10.
Explanation:In mathematics, when you are multiplying fractions, you multiply the numerators together and the denominators together. So, in the case of the problem 1/7 x 2/3, you would multiply 1 (the numerator of the first fraction) by 2 (the numerator of the second fraction), and 7 (the denominator of the first fraction) by 3 (the denominator of the second fraction).
This results in 2/21. However, both 2 and 21 are divisible by 2, so we simplify this fraction to get the answer 1/10.
Learn more about Multiplying Fractions here:https://brainly.com/question/11820359
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Find unit rate. The tub fills with 12 gallons of water in 5 minutes?
Vivian draws three right triangles in each figure she measures a pair of angles shown which conjecture is reasonable for Vivian to make
complementary angles
90/ [10(3squared - 4)
if you know 8×10=80, what other related multiplication fact do you know?
what are algebraic expressions?
Which is the best definition of a quadrilateral?
A.
a 4-sided polygon with no equal sides
B.
a parallelogram with no equal sides
C.
a 4-sided polygon
D.
a parallelogram with 2 pairs of equal angles
Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?
Answer:
y=-15x+40
Step-by-step explanation:
30 in 2 hours
-15 per 1 hour=15-40
takes away 15 each hour until he covers 40 miles
Solve the equation 3/7k=12/35
my book is 52 pages. I have already read 18 pages. I plan to read 10 pages each day until I finish the book.
Estimate about how many days it will take to finish reading the book.
A. 3
B. 7
C. 12
D. 30
Jumps has $55 in her savings account. This is $21 more than David. Write and solve an equation to find the amount David has in his savings account.
Final answer:
David has $34 in his savings account. This was found by setting up an equation where the amount Jumps has is $21 more than David's amount and then solving for David's savings.
Explanation:
The task is to find out the amount of money David has in his savings account. Let's denote the amount David has as D. According to the information provided, Jumps has $21 more than David, and she has a total of $55 in her savings account. We can set up an equation to model this situation:
D + $21 = $55
To solve for D, we need to subtract $21 from both sides of the equation:
D + $21 - $21 = $55 - $21
D = $34
Therefore, David has $34 in his savings account.
David has $34 in his savings account, which we found by setting up and solving the equation 55 = X + 21, where X represents David's savings.
Explanation:To find the amount David has in his savings account, we need to set up an equation based on the information provided:
Jumps has $55 in her savings account, which is $21 more than David has. Let's define the amount David has as X. According to the problem, we can write the equation as:
55 = X + 21
To solve for X, we subtract 21 from both sides of the equation:
55 - 21 = X
Which simplifies to:
34 = X
Therefore, David has $34 in his savings account.
-2(u+3)-5u
use distributive property to simplify
How does alternate freezing and thawing of water cause weathering to occur?
How does alternate freezing and thawing of water cause weathering to occur? Freezing chemically alters the rock surfaces Water expands when it freezes and cracks rocks open Thawing causes rock particles to move from place to place. User is waiting for your help.
What integer represents a gain of 8 yd
A fruit basket contains oranges and grapefruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket?
Please help!
Quick help: 7th grade hw question
"You are buying flowers to hand out at a school dance. Roses cost 30$ for a dozen but cost more if bought individually. With the money you have, you can buy 7 dozen and four single roses (64). How much is one rose? How much money do you have?
(12x-32) factored using GCF
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve 24 - 3 x = -27.
Answer:
17
Step-by-step explanation:
Given,
24 - 3 x = -27.
24+27 = 3[tex]x[/tex]
3[tex]x[/tex] = 51
[tex]x[/tex] = [tex]\frac{51}{3}[/tex]
[tex]x[/tex] = 17
Simplify 26/5(5/13b+10/26) .
The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are there? a. 549 b.390 c. 280 d. 56
Relationship A has a greater rate than Relationship B. This table represents Relationship B.
Hours worked (2 ) (4 ) (5 ) (8 )
Amount paid (30.40) (60.80) (76) (121.60)
Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x
The correct equation that could represent Relationship A, which has a greater rate than Relationship B, is A. y = 16.4x as it is the only rate per hour greater than that of Relationship B's $15.20 per hour.
The student's question concerns comparing rates of pay in two different linear relationships. Given the table for Relationship B, we can calculate the rate per hour for Relationship B and then compare this to the rates provided in the equations for Relationship A. By looking at the data provided for Relationship B, we can see that the rate is constant. For example, for 2 hours worked, the amount paid is $30.40, which results in a rate of $30.40 / 2 hours = $15.20 per hour.
Because Relationship A has a greater rate than Relationship B, we are looking for an equation where the rate (slope) is greater than $15.20 per hour. Therefore, we eliminate any option where the rate is less than or equal to $15.20. Looking at the provided options:
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x
Since options B ($14.9 per hour), C ($15.4 per hour), and D ($15.2 per hour) have rates that are either less than or equal to the rate of Relationship B, they cannot represent Relationship A which has a greater rate. Therefore, the only possible option is A. y = 16.4x, which represents a rate that is greater than the rate we determined for Relationship B.
How do you use the distributive property to solve 24 + 36 using a(b+c) form
Kyle wants to find the equation of the line that passes through the points (1, –7) and (–1, 1) . Which set of calculations will help Kyle find the equation of the line?
Ana runs 3/4 miles in 6 minutes or 1/10 hour. What is her spores in miles per hour?
Is the graph of a function that relates a squares side length to its perimeter continuous or discrete
PLZ HELP NOWWWWWW!!!!!!(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
Answer: 5 units.
Step-by-step explanation:
Given : Line segment EF has a length of 5 units. (1)
It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.
Thus, The length of E'F'=EF [∵E'F' is the image produced after translation of EF]
⇒ Length of E'F'= 5 units. [From (1)]
The sum of three numbers is 87. The third number is 2 times the second. The first number is 7 more that the second. What are the numbers?
how many kilometers could 217 km red car travel in 12 hours write an equation to show your work
Answer:
The required equation is: [tex]217\times 12=2,604[/tex]
The red car can travel 2,604 Km in 12 hours.
Step-by-step explanation:
Consider the provided information.
It is given that the speed of red car is 217 km\hr
We need to write an equation and find how many kilometers could red car travel in 12 hours.
The required equation is: [tex]217\times 12=2,604[/tex]
Hence, the red car can travel 2,604 Km in 12 hours.
What is the value of m? 12+(7+m)=30 Drag and drop the correct answer in the box.
Answer:
11
Step-by-step explanation:
12+(7+m)=30
12+7=19
30-19=11
m=11
Evaluate. 53−(648)+102 Enter your answer in the box.
The final result is 803.
To evaluate the given expression 53 − (−648) + 102, we need to follow the rules of arithmetic operations, particularly the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we look inside the parentheses. Since we have a negative sign before the parentheses, we understand that we are subtracting a negative value which is the same as adding its positive equivalent. So our expression will become 53 + 648 + 102.
Next, we perform the addition operation: 53 + 648 = 701 Adding 102 to 701: 701 + 102 = 803
The final result of evaluating the expression is 803.
A section of a boardwalk is made using 15 boards. Each board is 9 1/4 inches wide. The total width of the section is 144 inches. The spacing between each board is equal. What is the width of the spacing between each board? Write your answer in simplest form.