Answer:
p : q : r = 3 : 18 : 2
Step-by-step explanation:
Given:
p : q = (1/3) : 2
p : r = (3/4) : (1/2)
Find:
p : q : r
Solution:
We want to rewrite these ratios so they use the same number for p. We can do that by using the least common multiple of (1/3) and (3/4) for p. That value is 3.
p : q = (9)(1/3) : (9)(2) = 3 : 18
p : r = (4)(3/4) : (4)(1/2) = 3 : 2
Then the ratio of interest is ...
p : q : r = 3 : 18 : 2
_____
Additional comment
We are not often asked to find the least common multiple of fractions or mixed numbers. One way to do it is to write the numbers using a common denominator, then find the LCM of the numerators, and reduce any resulting fraction.
LCM(1/3, 3/4) = LCM(4/12, 9/12) = (1/12)·LCM(4, 9) = 36/12 = 3
__
As with integers, you also have ...
LCM(1/3, 3/4) = product/GCD = (1/3)(3/4)/GCD(1/3, 3/4)
The greatest common divisor (GCD) will be the unit fraction with the least common denominator: 1/12, so this is ...
LCM(1/3, 3/4) = (1/3)(3/4)/(1/12) = (3/12)/(1/12) = 3
Please help! What is 2250/7 as a mixed number?
Answer:
321.
Step-by-step explanation:
First, divide 2250 by 7 to see how many times 7 can go in. You should get 321 and 3 as your remainder. To put it into mixed number format, it would put 321 as your whole number and your remainder divided by 7. It would be 321 3/7. Hope this helps :)
Answer:
321 3/7
Step-by-step explanation:
4 of the students in a Biology class passed a Biology test. If these students are 25% of all the students in the class, how many students are in this Biology class? Round your answer to the nearest whole number if necessary.
Answer:
625=63 to the nearest whole number
Step-by-step explanation:
= 4/100×25%
= 625
= 63 to the nearest whole number
Answer:
16
Explanation:
Reasoning:
You know that 4 students = 25% of the class,
and that ? students = 100% of the class,
So you would want to plan it out like this:
4 ----- 25%
? ----- 100%
This is how you would solve it:
4 x 100
25
Multiply 100 x 4 = 400
Divide 400/ 25 = 16
Hope this helped ya!
What is.
12.12 x (−2.9)
Answer:
-35.148
I don't know if you need to round the answer or not
Step-by-step explanation:
Hello there!
Question:-[tex]\sf \longmapsto 1.12 \: \times ( - 2.9)[/tex]
This is a arithmetic expression.We need to find the result of it.
Solution:-[tex]\sf \longmapsto12.12 \times ( - 2.9)[/tex]
As (-) * (+) equals to (+),
The new Arithmetic expression will be :-
[tex]\sf \longmapsto - (12.12 \: \times 2 . 9)[/tex]
Then, Simply multiply :-
[tex]\sf \longmapsto - (35 .148)[/tex]
Remove the parenthesis:-
[tex]\sf \longmapsto - 35.148[/tex]
On Converting -35.148 to fraction :-
[tex]\sf \longmapsto \: - \dfrac{8787}{250} [/tex]
On Mixed fraction:-
[tex]\sf \longmapsto \: - 35\dfrac{37}{250} [/tex]
______________________________________
Henceforth the answer of the arithmetic expression is :-
[tex] \boxed{\bf \: - 35.148 \: (approx.)}[/tex]
In Alternate Form:-
[tex]\boxed{\bigg\{\bf \: - \dfrac{8787}{250} , - 35\dfrac{37}{250}\bigg\}} [/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
pls help solve this
Answer:
RS < SQ < RQ
Step-by-step explanation:
The smallest angle is opposite the smallest side and the largest angle is opposite the largest side.
Angles is order of it angle measures : 36° , 69° , 75°
The name of the opposite side: RS SQ RQ
Answer: RS < SQ < RQ
graph the solution set for the inequality x-2/-3 ≤ -5/6
Answer:
x [tex]\leq[/tex] - 3/2 (The graph is the image I attached)
Explanation:
1) Determine the sign of the fraction next to the variable, in this case, it's positive, which turns the equation into : x + 2/3 [tex]\leq[/tex] - 5/6
2) Move the constant to the right so that x is only on one side, this then turns the equation into: x [tex]\leq[/tex] - 5/6 - 2/3
3) Subtract the fractions, and the answer is x [tex]\leq[/tex] -3/2
The height of a tree sapling was 3.15 inches last year. This year, the height is 5.38 inches. How much did the height of the tree sapling increase? Find the difference.
Answer:
2.23 inches
Step-by-step explanation:
Difference means subtraction and you subtract the smaller number from the bigger number. 5.38 - 3.15 = 2.23 in.
Answer:
2.23 inches
Step-by-step explanation:
We will subtract 3.15 from 5.38 because the problem is asking for the increase. We will take the new height and subtract the old height to see the difference.
5.38 - 3.15 = 2.23 inches
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Are the two triangles similar?
A) there is not enough information to determine if they are simiar.
B) yes
C) no
Answer:
I am thinking c, but I do not know
Step-by-step explanation:
I am sure but if not c then b
3 trigonometric ratio
Answer:
B
Step-by-step explanation:
[tex]Tan \ A = \dfrac{Opposit \ side \ A}{Adjacent \ side \ of \ A}\\\\Tan \ A = \dfrac{16}{12}=\dfrac{4}{3}[/tex]
If A = {1,20,30..} and B = {4,6} find n(A-B)?
Explanation:-
Given sets are A = { 1,20,30}
B = { 4,6}
Now,
A-B = { 1,20,30} -{ 4,6}
⇛ A-B = { }
Since there are no common elements in both A and B sets
⇛Number of elements in A-B = 0
⇛n(A-B) = 0
Therefore, n(A-B) = 0
ADDITIONAL COMMENT:
Points to know:-
Empty set :-
A set having no element is called an empty set or void set or null set .It is denoted by phi or { } The cardinal number of the Null set = 0Difference of two sets :-
A and B are two sets ,The set of elements which belongs to A and does not belong to B is called The difference between the two sets A and B and it is denoted by A-B.Cardinal number of a set :-
The number of all distinct elements in a set is called its Cardinal number .It is denoted by n(A).LaToyas mother uses 5.84 pounds of apples to make applesauce.She got them from a bag that weighs 16.3 pounds. How many pounds of apples are there
Answer: There are 10.46 pounds of apples left
Step-by-step explanation:
16.3 - 5.84 = 10.46
Evaluate the expression.
17−{2+2[−1(7−10)]2}
What is the value of the expression?
Enter your answer in the box.
Gets 30 PTS!!!
AND BRAINLEST
An equation is a way of writing a statement with two or more expressions with operations such as addition, subtraction, multiplication, and division.
The value of the expression 17 − {2 + 2 [−1 (7 − 10) ] 2} is 3.
What is an expression?An equation is a way of writing a statement with two or more expressions with operations such as addition, subtraction, multiplication, and division.
Example: 2x + 3 x 4 - 3 is an expression.
We have,
= 17 − {2 + 2 [−1 (7 − 10) ] 2}
We will first solve,
(7 - 10) = 7 - 10 = -3
Now,
= 17 - {2 + 2[-1 x -3] 2}
We will solve [-1 x -3],
[-1 x -3] = 3
Now,
= 17 - {2 + 2 x 3 x 2 }
We will solve { 2 + 2 x 3 x 2 }
{ 2 + 2 x 3 x 2 } = 2 + 12 = 14
Now,
= 17 - 14
Subtracting we get,
= 3
Thus,
The value of the expression 17 − {2 + 2 [−1 (7 − 10) ] 2} is 3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
5u-8>32 simplify your answer
Step-by-step explanation:
5u - 8 > 32
5u > 32 + 8
5u > 40
u > 40/5
u > 8
the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years?
Answer:
0.40
Step-by-step explanation:
0.04 divided by 0.10 = 0.4
Using conditional probability, it is found that there is a 0.4 = 40% probability that it stops working in less than 2 years.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Damaged during delivery.Event B: Stops working in less than 2 years.0.1 probability of being damaged during delivery, hence [tex]P(A) = 0.1[/tex].
0.04 probability of being damaged during delivery and stop working, hence [tex]P(A \cap B) = 0.04[/tex]
The conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.1} = 0.4[/tex]
0.4 = 40% probability that it stops working in less than 2 years.
A similar problem is given at https://brainly.com/question/14398287
Read the statement.
In The Princess and the Goblin, Chapter 9, Curdie feels his way out after getting disoriented in the dark goblin tunnel.
What do the actions described in this statement reveal about Curdie?
He is comfortable with failure.
He stays calm in tense situations.
He enjoys a challenge.
He is ignorant about goblins.
Answer:
He stays calm in tense situations.
Step-by-step explanation:
The actions described in the statement reveal that:
He stays calm in tense situations. Option B
The Princess and the Goblin
Curdie doesn't panic or get paralyzed by terror when he becomes lost in the shadowy goblin tunnel. Instead, he maintains his composure and uses his intuition to find a way out of the difficult and stressful situation.
This character attribute is a sign of someone who can bear pressure and go through challenging situations with clarity and control as seen in this chapter here.
Learn more about Curdie:https://brainly.com/question/33066779
#SPJ3
1 question~Which inequality is true? Use the number line to help.
-2.5 -2 -1.5 -1 -0.5 0
0.5
1
1.5
2.5
N
-1.5 > 0.5
-0.5 > 0
-1.5 -0.5
o
120.5
2 question~(in the pic)
അത് പോലും അറിയില്ല
എനിക്കും അറിയില്ല
just for a രസം
Could i get some help with these math questions?
I really need help with this please!!
HELPP PLEASE
read the picture
Answer:
12 is the answer 12 I think but I'm not sure
4. Rosa Washington spends an average of 20 minutes assembling 1 unit. She works 7 hours per
day. How many units can she assemble in one day?
22.50
65.50
45.75
36.50
a.
b
C.
d.
Are the two terms on each tile like terms?
Answer:
1 like
2 unlike
3 like
4 like
5 unlike
6 unlike
Step-by-step explanation:
For terms to be like terms, they must have exactly the same variables and the same exponents.
1 like
2 unlike
3 like
4 like
5 unlike
6 unlike
On the last 5 quizzes, Marco has earned a total of 21 out of 25 possible points. If he has a perfect score on the next several quizzes, exactly how many points will he need to bring his average up to 90%?
(a)Write a rational equation to represent this situation
(b) Solve the equation and show how how you got your answer.
A) The rational equation that represents the given situation in the question is; (21 + x) = 0.9(25 + x)
B) Solving the equation gives the number of points needed to bring his average to 90% as; 15 points
We are told that he earned a total of 21 out of 25 possible points.
A) Now, if he has a perfect score on the next several quizzes, it means the number of points which we will call x that he needs to bring his average up to 90% is calculated from the rational equation;
(21 + x)/(25 + x) = 90%
⇒ (21 + x)/(25 + x) = 0.9
⇒ (21 + x) = 0.9(25 + x)
B) To find the number of points, let us solve the equation in A above to get;
(21 + x) = 0.9(25 + x)
Using distributive property on the right hand side, we have;
21 + x = 0.9(25) + 0.9x
21 + x = 22.5 + 0.9x
Using subtraction property of equality;
x - 0.9x = 22.5 - 21
0.1x = 1.5
x = 1.5/0.1
x = 15 points
Read more at; https://brainly.com/question/12223525
For f(x) = x + 1 and g(x) = 2x^2 - x - 3, find (f/g)(x).
Answer:
[tex]\frac{1}{2x-3}[/tex]
Step-by-step explanation:
([tex]\frac{f}{g}[/tex] )(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{x+1}{2x^2-x-3}[/tex] ( factorise the denominator )
= [tex]\frac{x+1}{(2x-3)(x+1)}[/tex] ← cancel the common factor (x + 1) on numerator/ denominator
= [tex]\frac{1}{2x-3}[/tex]
I need helppp pls ASAP
Answer:
a=6
Step-by-step explanation:
50 points and brainliest to first correct answer :/
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal.
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.
Which statement best describes a flaw in the student's proof?
Question 11 options:
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
Answer: Where is the figure??
"The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:"Answer:
I think it this one but picture would help...
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
HELP me please!!!!!
What is the slope of the graph.
Answer:
Slope = ¼
Step-by-step explanation:
Given the following points from the graph, (0, 1) and (8, 3):
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (8, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(8 - 0) = 2/8 = ¼
m = ¼
Therefore, the slope of the given graph is ¼.
HURRY, I NEED AN ANSWER
(-0.3)(-0.27)
Answer:
what do I need to answer? are those dots on a graph?
Step-by-step explanation:
Answer:
0.081
i did the quiz on mine and it was right
9c+27=27 how many solutions
Answer:
c = 0
Step-by-step explanation:
There can only be one possibility to make this equation make sense. If we were to do any number greater than 0, the equation wouldn't work.
If c = 0
9(0) + 27 = 27
0 + 27 = 27
27 = 27 :)
If c = 1
9(1) + 27 = 27
9 + 27 = 27
36 ≠ 27 :(
50 Points
Step 3: Making predictions using data
You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.
Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91
a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
b) Find the equation of the trend line (line of best fit). Show your work. (2 points)
c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)
d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)
Answer:
a) I am sorry, but I don't know this one.
b) y = mx + b
=> b = y-intercept = 0
=> m = slope = Rise/Run
=> Rise/Run = 120/65
=> Rise/Run = 24/13
=> Slope = 24/13
=> Our Equation: y = 24x/13
c) After drawing the trend line, we can conclude that if 100 costumers were served, the amount of tips would be about $185
d) To use a regression calculator, we must be given a table with x and y values. Then we insert the values in the calculator so that it can give us the whereabouts of a point and it can give us the trend line. After the trend line is given, we can make a prediction.
Hoped this helped. Sorry that I didn't answer the first part.
50 ptsss and brainiest.
What's 1+2
Answer:
3
THX
Step-by-step explanation:
24 points! Please solve the percent writing problem!
(I think the following is correct haha. I know what to do, but the exact wording they used confused me slightly. Have a nice day!)
The { percent } should be written as a { fraction } before dividing.
5 ÷ 20% = { 5 ÷ [tex]\frac{1}{5}[/tex]} = { 25 }
Answer:
The percent should be written as a fraction before dividing.
5 ÷ 20% = 5 ÷ [tex]\frac{1}{5}[/tex] = 25
