12 years ago, a mother was twice as old as her son. their present age are in the ratio of 14:9. find their present ages.
Answer:
The presents age of the mom is 42 years old, and of the son is 27 years old.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
The mothers age is x.
The son's age is y.
12 years ago, a mother was twice as old as her son.
This means that:
[tex]x - 12 = 2(y - 12)[/tex]
[tex]x = 2y - 24 + 12[/tex]
[tex]x = 2y - 12[/tex]
Their present age are in the ratio of 14:9.
This means that:
[tex]\frac{x}{y} = \frac{14}{9}[/tex]
[tex]14y = 9x[/tex]
Since [tex]x = 2y - 12[/tex]
[tex]14y = 9(2y - 12)[/tex]
[tex]18y - 108 = 14y[/tex]
[tex]4y = 108[/tex]
[tex]y = \frac{108}{4}[/tex]
[tex]y = 27[/tex]
[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]
The presents age of the mom is 42 years old, and of the son is 27 years old.
Explain Jasmine’s mistake.
3x + 2
35 + 2 =
37
Answer:
nothing times 3 is 35 so your sum cant equal 37
Step-by-step explanation:
hope this helps in some way
Put together, Edward and Jamie have 56 total rocks. Jamie's collection has 3 times as many rocks in it as Edward's collection. How many rocks are in Jamie's collection?
How many rocks does Edward have?
Select the person with more rocks: Jamie
Answer:
How many rocks does Edward have? 14
Select the person with more rocks: Jamie
(Edward: 14, Jamie: 42)
Bowler world charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 dollars for shoes and $1.50 per game
Answer:
6.10 for 1 and 4.50 . for 2
Step-by-step explanation:
A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, how
many more hours (h) can you rent the canoe? *
Help
Answer:
I would say 2 hours
Use the following bond listing for Pacific Bell to answer the following:
A 5-column table with 1 row. Column 1 is labeled Bonds with entry PacBell 6 and StartFraction 5 Over 8 EndFraction 34. Column 2 is labeled current yield with entry 6.55. Column 3 is labeled Volume with entry 5. Column 4 is labeled Close with entry 99 and one-fourth. Column 5 is labeled net change with entry + StartFraction 1 Over 8 EndFraction.
What was the closing price of the bond? What was the dollar amount?
a. 106 5/8; $966
b. 6 5/8; $6625
c. 99 1/4; $993.45
d. 99 1/4; $992.50
Answer:
b.
$66.25
Step-by-step explanation:
just did the test
How many calories are there in 2 1/2 cup of cereal
Answer:
330 calories if it is 2 1/2 cup of cheerios.
Step-by-step explanation:
140 is 1 cup of cheerios multiply it by 2
50 is half a cup
now add 280 (140 x2) plus 50 which equals = 330 calories for 2 1/2 cups of cheerios.
Simplify The expression
-5/8 (-3/8 - 1/4)
Answer:
25/64
Step-by-step explanation:
do what's inside parentheses first
-3/8 - 2/8 = -5/8
-5/8(-5/8) = 25/64
Which statement below is always true?
The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,
The product of two negative numbers is negative.The product of two negative numbers is negative. ,
The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,
The product of two positive numbers is positive.
Answer:
the product of two positive numbers is positive.
Step-by-step explanation:
the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option
Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.
Given right triangle MNO, which represents the value of cos(M)?
StartFraction O N Over M N EndFraction
StartFraction M N Over M O EndFraction
StartFraction O N Over M O EndFraction
StartFraction M N Over O N EndFraction
Given:
In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.
To find:
The value of cos(M).
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Draw a diagram using the given information.
In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,
[tex]\cos (M)=\dfrac{MN}{MO}[/tex]
Therefore, the correct option is B.
Answer:
it is b
Step-by-step explanation:
Write the following ratio using two other notations. to Use only the numbers above (not any others). Notation one: Notation two: 9 fration 8
Answer:
9:8 and 9 to 8
Step-by-step explanation:
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns to the factory in 3 minutes. Which graph best represents the distance in milies of the truck from the factory after a certain
amount of time. x. in minutes?
Answer:
x=16
Step-by-step explanation:
6y+8x-3x
I need help this is for homework
Answer:
6y + 5x
Step-by-step explanation:
6y + 8x - 3x
Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)
8x - 3x = 5x
6y + 5x
And you cannot simplify it anymore, since they are not like terms
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the form a b c , where abc
This question is incomplete, the complete question is;
Determine if the described set is a subspace. Assume a, b, and c are real numbers.
The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0
The set is a subspaceThe set is not a subspace
Answer:
Therefore; The set is not a subspace
Step-by-step explanation:
Given the data the question;
the subset R³;
S = { [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }
we know that a subset of R³ is a subspace if it stratifies the following properties;
it contains additive identityit is closed under additionit is closed under scales multiplicationLooking at the properties, we can say that it is not a subspace
As;
u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex] ∈ S
As 1×1×0=0 0×1×1=0
But u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex] ∉ S as 1×2×1 ≠ 0
Hence, it is not closed under addition.
Therefore; The set is not a subspace
Yesterday Ali caught 12 bugs. Today he caught 17 bugs. How many fewer bugs did Ali catch yesterday than today?
Answer:
5 bugs
Step-by-step explanation:
You would use subtraction to find the difference: 17 - 12 = 5
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
A teacher evenly distributes 7 packages of markers to 3 groups of students.
Which two of the following represents how many packages of marker each
group receives?
A. 7/3
B. 3/7
C. 2 ⅓
D. 2.1
E. 21
Answer:
Step-by-step explanation:
2 1/3
Which does not describe slope? I will mark Brainly plz help fast
Answer:
Initial value
Step-by-step explanation:
Initial value never changes, whatsoever.
Slope is either a constant increase or decrease.
Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.
Answer:
Initial value
Step-by-step explanation:
The initial value is the y-intercept.
Emergency!!! Please I need help!!!!!!!
Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he
makes. The equation P = 17.50x + 65 represents Ryan's total pay on a day on
which he sells x computers. What is the y-intercept of the equation and what is its
interpretation in the context of the problem?
What is the Y intercepts of the function?
Answer:
i cant really tell what the question is asking but:
Step-by-step explanation:
65 is the y intercept and i think it stands for the minimum pay that he recieves each day no matter how many computers he sells.
Tamanika received a raise in her hourly pay from 18.00 to $22.50 find the percent Change
Answer:
40.5
Step-by-step explanation:
Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?
Answer:
1/10
Step-by-step explanation:
First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!
The Career Placement department at a university wants to administer a survey to determine student awareness of the resources offered. The department expects that student awareness of the Career Placement resources will vary significantly depending on how many years a student has attended the university, so they plan to randomly select 30 freshmen, 30 sophomore, 30 juniors, and 30 seniors. This type of sample can be best described as a: *
Answer:
This type of sample can be best described as a stratified sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
The students are divided into groups, according to how many years they have attended the university. Then, from each group, some(30) students are surveyed. This is an example of Statrified Sampling
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ1
Solve the following problems.
1) Hardy's plant grows rapidly. It grows by 10 cm every 2
years. How much taller will Hardy's plant be in 5 years?
Answer:
it should be 25 cm
Step-by-step explanation:
c=cm, y=years
10/2= 5,
5x5=25
5c + 5c +5c +5c +5c = 25c
so yeah, that's about it. I hope i helped you
Answer:
yuh the answer 25 my G
Step-by-step explanation:
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
We have that theses Can affect the price if grape indirectly
Salaries WagesEnvironmentPeopleFrom the question we are told
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Independent variablesGenerally Independent variables are variables that are not dependent on the price of grape fruits directly
Therefore
We have that
Salaries WagesEnvironmentPeople Can affect the price if grape indirectly
For more information on Independent variables visit
https://brainly.com/question/787279?referrer=searchResults
Submit the worksheet with your constructions to your teacher to be graded. Click on the SAVE button to indicate that the assignment is complete.
Answer:
mom?
Step-by-step explanation:
Question 1 of 5
Table A
Table B
Х
у
х
y
1
3
3
1
2
6
6
2
3
9
9
3
Graph A
Graph B
10
12
11
10
9
5
4
8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
Which table and graph represent the equation y = 3X?
The table and graph that represents the equation y = 3x are:
Table A
Graph B.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
y = 3x
This means,
For x = 0, 1, 2, 3,
y = 0, 3, 6, 9
Now,
The coordinates on the graph of the equation y = 3x will have:
(0, 0), (1, 3), (2, 6), and (3, 9)
We see that,
Graph A has the coordinates:
(0,3).
This is not possible.
And,
Table B has y = 1 when x = 3.
This is not possible.
Thus,
The table and graph that represents the equation y = 3x are table A and graph B.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 8y +n + 9. Jake says that 8 is a coefficient and 9 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
What is 6 minus 3 and 2/5
Answer:
2.6
I am pretty sure this is right.