Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
the ratio: 6:1
Step-by-step explanation:
to make it as a ratio :
We will make 4 years as months
So 4x12 =48
then the ratio: 48:8
6:1
hope this helps
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12
Picture of the right answers
Hence, the quotient of the rational expression given below is x-3.
How to solve?
To solve the division we will use basic properties of rational numbers here.
The first step is to factor numerator/denominator if possible.
To divide the expressions follow the following steps
1.leave the first fraction as it is
2. Convert division to multiplication
3.Turn the second fraction upside down
([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12
=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)
=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9
By splitting the quadratic equation into factors we get,
[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)
and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)
=2(x+3)(x+2)/(x+3)(x-3)
=2(x+2)/(x-3)
hence, the quotient of the given ration expression is x-3.
Learn more about solving rational expressions
https://brainly.com/question/11924590
#SPJ2
Given the following list of data, find the median.
1,3, 1.23, 2, 4, 22, 13, 26. 8
Answer:
solution
or, (N+1) th item
_
2
or ,8+1 th item
_
2
or,9
_
2
or,4.5 th item hence the median is4
The median of the given numbers will be 8.5.
What is the median?The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The given data is:-
1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8
The total numbers of the data are 8 so the median will be calculated as:-
Median = ( 4 + 13 ) / 2
Median = 17 / 2
Median = 8.5
Therefore the median of the given numbers will be 8.5.
To know more about median follow
https://brainly.com/question/26151333
#SPJ2
PLEASE HELP ASAP WILL GIVE BRAINLEIST
y=9
x=12
hope its right pls do mark me the brainleist
1
Which expression is NOT equivalent
to 1.24 X 0.9?
(124 x 90) x (160 x 100)
(124 X 9) * (100 x 10)
(0.124 X 9) X (10 x
(10 x 10)
(124 x 9) * (10 x 10)
The expression (124 × 9) × (1/10 × 1/10) is NOT equivalent to 1.24 × 0.9. which is the correct answer would be an option (D).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
A. (124 × 90) × (1/100 × 1/100) simplifies to 1.24 × 0.9 because 124 × 90 = 11160 and 1/100 × 1/100 = 1/10000, so the expression is equivalent to (11160/10000) × 0.9 = 1.24 × 0.9.
Similarly, expressions B and C can be rearranged as (9 × 1/10) × (0.124 × 10), which is also equivalent to 1.24 × 0.9.
B. (124 × 9) × (1/100 × 1/10) simplifies to 1.24 × 0.9 because 124 × 9 = 1116 and 1/100 × 1/10 = 1/1000, so the expression is equivalent to (1116/1000) × 0.9 = 1.24 × 0.9.
C. (0.124 × 9) × (10 × 1/10) also simplifies to 1.24 × 0.9 because 0.124 × 9 = 1.116 and 10 × 1/10 = 1, so the expression is equivalent to (1.116/1) × 0.9 = 1.24 × 0.9.
However, expression D cannot be rearranged to the form 1.24 × 0.9 because it contains the factors 124 and 90, which are not equivalent to 1.24 and 0.9, respectively.
Therefore, expression D is not equivalent to 1.24 × 0.9.
Learn more about the expression here :
brainly.com/question/21751419
#SPJ2
Diana creates a graph of money she earns y for working x hours the graph contains the points 34,408 40,489 46 588
Answer:D and E I think
Step-by-step explanation:
13 PTS!! The main idea of this story is that _____.
1. George Washington was general
2. the men were lifting logs
3. George Washington was kind
4. kindness knows no rank
Answer:
George Washington was general
Step-by-step explanation:
i dont know what movie you are talkibg about but this seems more accurate to what he was
According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?
Solution :
According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.
Now this is considered as a joint event. This is because the above statement consists of two events.
1. Video games are sold in the United States.
2. Women purchased video games.
The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.
A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?
See attachment for your problem set up.
Answer:
This is a 25% decrease
Step-by-step explanation:
Find the difference between the two prices
24- 18 = 6
Take that over the original price
6 /24 = 1/4
Change to decimal form
.25
Change to percent form
25%
This is a 25% decrease
I have the answers i just need to know the solution on how you do 10 and 11.
There are 5 cat owners to 6
dog owners. If there are 30 dog owners how many cat owners are there?
Answer:
25 cat owners!!!
Step-by-step explanation:
It's a ratio word problem...
5:6
Multiply both Numerator and Denominator by 5.
25:30
May I please have Brainliest??!??
- ElizabethKate
Answer: 19
Step-by-step explanation: So 6+5=11 then 30-11=19
12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
Let 'x' be the degree measure of the first angle.Given that the degree measure of one of two complementary angles is twice that of the other.
Thus, the other angle = 2xComplementary angles
We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
Answer :A.) 30 degrees
Solution :Let one angle = x
According to statement,
Another angle = 2 × first angle
[tex] \sf : \implies Another \: angle = 2x[/tex]
Now, we know that sum of complementary angles is 90°
Hence,
[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]
[tex] \sf : \implies 3x = 90^{\circ}[/tex]
[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]
[tex] \sf : \implies x = 30^{\circ}[/tex]
[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]
Therefore, one of the angle is 30°.
Another angle = 2 × 30° = 60°
A total of 600 advertisements were sold for a certain magazine. If 20 percent of the first 200 sold were in color, 40 percent of the next 300 sold were in color, and 80 percent of the last 100 sold were in color, what percent of the 600 advertisements were in color?
Answer:
40%
Step-by-step explanation:
First, find how many of the first 200 were in color:
200(0.2)
= 40
Then, find how many of the next 300 were in color:
300(0.4)
= 120
Find how many of the last 100 were in color:
100(0.8)
= 80
Then, add these all together to find how many were in color:
40 + 120 + 80
= 240
Then, divide 240 by 600 to find the percent that were in color:
240/600
= 0.4
So, 40% of the 600 advertisements were in color
Devaughn's age is two times Sydney's age. The sum of their ages is 18. What is Sydney's age?
Answer:
Sydney's Age is 6
Step-by-step explanation:
6 x 2 = 12
12 + 6 = 18
Answer:
Sydney is 6
Step-by-step explanation:
You get this by dividing 18 by three, as one set of 6 is Sydney while tcice that is her brother.
Convert 0.001 kL to g
Answer:
1000 g
Step-by-step explanation:
That is the answer
Answer:
Step-by-step explanation:
1 gram.
Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²The ordered pair (2, 5) is a solution to the system of linear equations.
x + y = 7
2x - 3y = -11
True
False
Val is going to plant vegetable seeds in one garden and 5b+2 vegetable seeds in another. How many seeds is Val going to plant?
Answer:
6d+2
Step-by-step explanation:my teacher told me
choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)
Answer:
a d f g
Step-by-step explanation:
Answer:
its abfg
Step-by-step explanation:
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles
Answer:
te puedo responder pero debes hacer primero tu tarea
Step-by-step explanation:
If you have 54/4 how does it equal 13.5
Answer:
I don't like mathematics
PLEASE HELP ME !!!! I need help
Answer:
69300 is the total amount without being rounded but after being rounded the answer is 5600
Step-by-step explanation:
You put it in the other comment section for free points
A truck driver is able to move 48 kg in 20 weeks. Find the unit rate of how many kilograms the truck driver is able to move per week. Round to the nearest tenth.
Answer:
2.4 kg/week
Step-by-step explanation:
(48 kg)/(20 weeks) = 2.4 kg/week
Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL
Answer:
-4 degrees Celsius
Step-by-step explanation:
F = 25
Substitute into formula: 25 = 9/5C + 32
subtract 32 from each side: -7 = 9/5C
multiply each side by the reciprocal of 9/5, which is 5/9
-7(5/9) = C
C = -35/9 which is close to -36/9 which is -4 degrees Celsius
find the it out 12 divided by 3/5
Answer:
20
Step-by-step explanation:
hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe
Answer:
20 Hope this helps!
which of the following quadratic equation is written in standard form?
a.3x-2x ²=7
b.-2x ²-7=-3x
c.-2x-7+3x=0
d.-2x ²+3x-7=0
Answer:
d. -2x²+3x-7
Step-by-step explanation:
Standard form is: Ax²+Bx+C
Patti went to the bakery. she bought a loaf of bread for 3.49, 6 muffins that cost 1.25 each, and a bottle of juice for 1.75. she gave the cashier a 20$ bill
how much should Patti receive? write equations to show ur work
!HELLp NoW! Asap
Answer:
$ 7.26
Step-by-step explanation:
You're welcome :)