12. Consider the general rational equation a/b=c/d
(a) What equation results if you multiply both sides of this equation by bd/1?
(b) What does the expression bd represent in the equation above?
Answers
Part (a)
Answer: ad = bc
-------------------------
Explanation:
In the equation a/b = c/d, we have b and d in the denominator.
If we multiply both sides by bd, then the denominators will cancel. The expression bd is the same as bd/1.
As a similar example, consider the equation
a/b = 12
if we multiply both sides by b, then we clear out the denominator to end up with a = 12b
As another example, let's consider
a/b = c
Multiplying both sides by b leads to
a = bc
The same idea applies with the denominator d as well.
When going from a/b = c/d to ad = bc, your textbook may refer to this process as "cross multiplication".
=================================================
Part (b)
Answer: bd is the product of the denominators
-------------------------
Explanation:
Often in math, writing two variables next to each other represents multiplication.
bd is the same as b*d which means "b times d". The term "product" is the result of multiplying two or more values.
b and d are both in the denominator of each fraction, so bd represents the product of the denominators.
Related Questions
What is the length of BG and LB need help will mark Brainliest
Answers
we get x by setting up a proportion.
[tex]\frac{12}{2x+2}[/tex] = [tex]\frac{21}{5x-1}[/tex]
then we cross multiply.
12(5x−1) = 21(2x+2)
60x − 12 = 42x + 42
18x − 12 = 42
18x = 54
x = 3.
plug in 3 for x for LB, which is 2x + 2.
LB = 2(3) + 2 = 8
plug in 3 for x for BG, which is 5x - 1.
BG = 5(3) - 1 = 14
Answers:LB = 8BG = 14what is the mean number of hours volunteered by students in the survey
Answers
Answer: Where is the survey
Step-by-step explanation:
Answer:
I don't see the survey but I'll tell you how to find the mean.
Step-by-step explanation:
You add up all of your numbers and then divide that sum by the number of numbers you have. That's how you find the mean. Hope this helps.
Select two ratios equivalent to the ratio of white socks to brown socks. pls help
Answers
Answer:
Step-by-step explanation:
You have to do total ratio
that will give you 20/15
Solve for the roots in simplest form using the quadratic formula:
3x2 + 36 =
24x
Answers
Answer:
x=6,2
Step-by-step explanation:
PLEASE HELP ASAP
Find the volume of Epcot Center in cubic ft. The diameter of the sphere is 165 ft. Use 3.14 to approximate pi and do not round your answer.
Answers
Answer:
28495.5 ft
Step-by-step explanation:
V=(4 /3)π(r^2)
r=radius=diameter/2
165/2=82.5
(4/3)3.14(82.5^2)
(4/3) x3.14x6806.25=28495.5ft
3. What is the domain of the function graphed?
Answers
Answer:
where is the picture
Step-by-step explanation:
or the graph
Consider the following equations:
y = 2x-3
y = 2x
y = 2x + 2
y= 2x + 5
a. Discuss the similarities and differences of the graphs of these equations. (Use
a graphing calculator if you have one.)
a. Same slopes; same y-intercepts
b. Same slopes; different y-intercepts
c. Different slopes; different y-intercepts
d. Different slopes; same y-intercepts
Please select the best answer from the choices provided
Answers
Answer:
It's B
Step-by-step explanation:
Ms. Owens has some butterflies, 7 of them fly away. Now she has 12 butterflies left. How many butterflies did she start with?
Answers
Answer:
19
Step-by-step explanation:
Since she had 12 butterflies left you just add 7 to it
A = 1/2f(s + z) for s
Solve the following formula for the specified variable
Answers
Step-by-step explanation:
[tex]\huge{\mathtt{\red{\underbrace{\overbrace{\pink{\boxed{\boxed{\blue{answer}}}}}}}}}[/tex]
It is a little unclear when you state the problem what exactly is going on with that fraction. This is a common issue when you try to type up equations. On the right side, you have a fraction bar and then a bunch of stuff after it. We need to clear up what is supposed to be in the numerator and what is supposed to stay in the denominator. This is important not just for typing up questions on the internet to get help but in using your calculator as well. If what the equation means is that both "f" and "q+z" are in the denominator, but then on your calculator you type something 1 / 2 * f * ( q + z ), most calculators (e.g. TI 83/84 and almost any basic or scientific model) will interpret that as meaning only the 2 is on the bottom and the rest is on top.
If you meant the f and the q+z are on top, then Steve's answer is good.
If you meant the f and the q+z are supposed to be on the bottom, then we have a little bit different process.
First, write down the operations that are happening to q, and in what order they happen from inside out, that is, according to the regular PEMDAS rule:
1. z is added
2. 2f is multiplied
3. The result is divided into 1 (as opposed to being divided by 1).
So, to solve for q, we "invert" the order of operations and do the inverse operation of our 3 steps, and also in reverse order.
1. To get the big thing out of the denominator (Step 3), we will multiply both sides by 2f(q+z). Now we have:
C*2f(q+z) = 1, or as we normally write it,
2Cf(q+z) = 1
2. Now we have to adjust our steps just a little bit because we have the *C part too. So we will change Step 2 above to "2Cf is multiplied." We invert that by dividing, so we have:
q+z = 1/[2Cf]. Notice how I put brackets around the entire denominator so it's clear!
3. Finally to invert Step 1 we subtract z:
q = 1/[2Cf] - z
Pleaseeee helpp
Which statement describes an advantage to using diagrams or graphs?
A. They make it!possible to do complicated calculations.
B. They can give you a visual sense of unknown quantities.
C. They make difficult problems easy to solve.
Answers
Answer:
b
Step-by-step explanation:
One of the advantages of graphs is they can give you a visual sense of unknown quantities.
What is graphical representation?Graphical Representation is a way of analysing numerical data. It exhibits the relation between data, ideas, information and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain.
Advantages of graphs :-
It allows us to relate and compare data for different time periods. It is used in statistics to determine the mean, mode, and median of different data. It saves a lot of time as it covers most of the information in facts and figures. This in turn compacts the information.
Hence, the advantages can be they can give you a visual sense of unknown quantities.
Learn more about graphs, click;
https://brainly.com/question/17267403
#SPJ2
you deposit 200 into an account that pays 7% interest compounded quarterly. how much will you have in 5 years
Answers
r = R/100
r = 7%/100
r = 0.07 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 200.00(1 + 0.005833333/12)(12)(5)
A = $ 283.53
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 200.00 at a rate of 7% per year
compounded 12 times per year
over 5 years is $ 283.53.
Factor
-10x + 2
please answer!
Answers
Answer:
Step-by-step explanation:
you just give 2 a common factor
2(-5x+1)
So, 44.5 x 11 is about 450.
22 2
Practice
Estimate each product.
1. $27.64 x 3
Answers
I estimated around 70-80
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y-intercept represent? How much money will she make if she baby-sits 5 hours?
Answers
WILL GIVE BRAINLIEST!!!
Find the point that lies on the line described by the equation below.
y - 3 = 4(x - 10)
A. (3,10)
B. (3,-10)
C. (40,3)
D. (10,3)
Answers
Which of the following numbers is farthest from 0 on the number line?
Group of answer choices
A) -3
B) -2
C) 2
D) 4
Answers
Answer:
D) 4
Step-by-step explanation:
.
Answer:
-3
Step-by-step explanation:
Because -3 is going in a backwards way so the number is decreasing away
.
Which inequality is true when x = 4?
Answers
One inequality could be x>3. So when x = 4 this is true because 4 is greater than 3.
Answer:Since x=4 is parallal to y axis , it has no y intercept.
Step-by-step explanation:
Please help!
Stay safe and take care!
Answers
Please answer this correctly without making mistakes
Answers
Answer:
(0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
If you move 5 units right and end at (5,3) you do the opposite to find out where you started. So from (5,3) move 5 units left to be at (0,3)
WHAT IS THE EQUATION OF THE LINE IN SLOPE - INTERCEPT FORM
Answers
Answer:
The answer is [tex]y = x + 6[/tex]
Need help don’t know what to do I’m confused
Answers
Answer:B
Step-by-step explanation:
Not sure but the math came out like that.
Answer: Second one
Step-by-step explanation:
a(b-c)=d
Solving for c
ab-ac=d
ab=d+ac
ab-d=ac
ab-d/a=c
Use the distributive property to find the value of x.
-1.2(3 – x) = -1.8
-3.6 + 1.2x = -1.8
1.2x = 1.8
Answers
Answer:
-1.2(3 – x) = -1.8
x= 3/2
-3.6 + 1.2x = -1.8
x= 3/2
1.2x = 1.8
x= 3/2
if you need the steps just say so
QUESTION : find the measure of angle A
Hint : solve for x then replace in angle A
please help !
Answers
Angle A should be 40 since x=10
Answer:
X=10°
Step-by-step explanation:
on the picture
if it's helpful ❤❤❤❤
THANK YOU.
A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost,
in dollars, for renting each kind of boat for x number of hours.
Cost of a rowboat rental: 8.50x +3
Cost of a motorboat rental: 17.50x +25
Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours?
*8x +22
*9x + 22
*9x + 28
*26x + 28
Answers
Answer:
B. 9x + 22Step-by-step explanation:
You need to find the difference:
17.50x + 25 - (8.50x + 3) =17.50x - 8.50x + 25 - 3 =9x + 22Correct one is B
Answer:
B. 9X+22
Step-by-step explanation:
Nothing
Which statement is true?
a.
All quadrilaterals are rectangles.
b.
All quadrilaterals are squares.
C.
All rectangles are quadrilaterals.
d.
All quadrilaterals are parallelograms.
Answers
Answer:
C. All rectangles are quadrilaterals.
Step-by-step explanation:
A quadrilateral is defined as a closed shape with four sides and angles. Therefore, a rectangle is a quadrilateral. A quadrilateral is the largest group of organization out of everything listed, so C must be correct because it is the only answer to sort a smaller group into a larger one.
Can anyone do this without seeing the whole thing?
Answers
Answer:
It is the first graph that is shown on the screen
4 + 7W - 2k
(w = 3 and k = 5
Answers
Answer:
15
Step-by-step explanation:
4+7(3) -2(5)
Which choice is equivalent to the expression below?
V-12
A. -2/3
B. 2193
C. 121
D. -127
E. 23
Answers
Answer:
B
Step-by-step explanation:
[tex]-\sqrt{12} = i\sqrt{12}[/tex]
[tex]i\sqrt{12} = i\sqrt{4*3}= 2i\sqrt{3}[/tex]
PLZZZ HELP WILL GIVE 10 POINTS!!!!!
Answers
Answer:
125
Step-by-step explanation:
Answer:
125 degrees
Step-by-step explanation:
You accidentally read the protractor 10 degrees more than the actual value
hope this helps :)
Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of $4.10. Assume that D and L are independent random variables. What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
Answers
Answer:
0.034
Step-by-step explanation:
cuz i missed it
