Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as [tex]\large\rm x[/tex]
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].
In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.[tex]\\\\[/tex]
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The graph shows the reciprocal parent function.
Which statement is true?
A. The function has no intercepts.
B. (1,1) is the x- and y-intercept of the function.
C. (0,0) is the x- and y-intercept of the function.
D. (0,1) is the x- and y-intercept of the function.
Answer:
A
Step-by-step explanation:
A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 11 2/3 yards and a double window requires 15 5/6
yards of fabric. If there are two single windows and one double window, how much fabric is required?
Answer:
[tex]2S + D = 34\frac{1}{6}\ yd[/tex]
Step-by-step explanation:
Represent single windows with S and double with D.
So, we have:
[tex]S = 11\frac{2}{3}\ yd[/tex]
[tex]D = 15\frac{5}{6}\ yd[/tex]
Required
Determine the amount of fabric for 2 singles and 1 double
The above statement implies:
[tex]2S + D[/tex]
Substitute values for S and D
[tex]2S + D = 2 * 11\frac{2}{3}\ yd + 15\frac{5}{6}\ yd[/tex]
Convert fractions
[tex]2S + D = 2 * \frac{35}{3}\ yd + \frac{65}{6}\ yd[/tex]
[tex]2S + D = \frac{70}{3}\ yd + \frac{65}{6}\ yd[/tex]
Tale LCM
[tex]2S + D = \frac{140+65}{6}\ yd[/tex]
[tex]2S + D = \frac{205}{6}\ yd[/tex]
[tex]2S + D = 34\frac{1}{6}\ yd[/tex]
Hence, [tex]34\frac{1}{6}\ yd[/tex] is needed
Farid bought x rulers for RM3.90 each and y pieces of sticker for
RM1.80 each with the price RM33.90. If the total of rulers and
stickers that he bought is 13, find the value of x and y.
Answer:
y+mx+b
Step-by-step explanation:
Which line has a slope equal to 1?
Answer:
Algebra and geometry...
Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....
Step-by-step explanation:
hope the answer was helpful ......
Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25
Answer:
1) Yes
2) No, this polynomial has complex roots
3) No, this polynomial has irrational roots
Step-by-step explanation:
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
What is Function?
A relation between a set of inputs having one output each is called a function.
Functions are given as;
f (x) = 4x² - 25
g (x) = 4x² + 25
h (x) = 3x² - 25
Now,
a. f (x) = 4x² - 25
To find the roots we can set up 0,
f (x) = 4x² - 25 = 0
4x² - 25 = 0
4x² = 25
Divide by 4,
x² = 25/4
Take square root both side,
x = √25/4
x = ±5/2
Thus, The function has rational roots.
So, Rational roots theorem provide a complete list of all roots.
b) g (x) = 4x² + 25
To find the roots we can set up 0,
4x² + 25 = 0
4x² = - 25
Divide by 4,
x² = - 25/4
Taking square root,
x = √-25/4
x = ±5i/2
Thus, The function has complex roots.
So, Rational roots theorem does not provide a complete list of all roots.
c) h (x) = 3x² - 25
To find the roots we can set up 0,
3x² - 25 = 0
3x² = 25
Divide by 3,
x² = 25/3
x² = 8.333
Take square root both sides,
x = √8.333
x = ±2.89
Thus, The function has irrational roots.
So, Rational roots theorem does not provide a complete list of all roots.
Therefore,
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
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When Diego's phone is fully charged, it will last 15 hours. How much time does he
have left when there is 30% charge remaining?
Line
Answer:
help
Step-by-step explanation:
Write an equation in slope-intercept form:
y-5= 3(x-4
Answer:
Y = 3x -7 is your answer hope I helped
Step-by-step explanation:
The formula shown can be used to find A the amount of money Raul has in his saving account Raul wants to find r the rate of interest his money earns which equation is correctly solved for r
Answer: r= A-P/ Pt
Step-by-step explanation: ur welcome
The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.
Here,
The formula shown can be used to find A the amount of money Raul has in his saving account.
Raul wants to find r the rate of interest his money earns.
We have to find the equation is correctly solved for r.
What is Rate of interest?
The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Now,
The formula which shown to find A is;
A = P + Prt
Hence, equation is correctly solved for r is;
[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]
So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.
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which expression has the least value when x = 100
A. 1/x
B. 10/x
C. 1-x
D. 10-x
Answer:
C. 1-x
Step-by-step explanation:
Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer
Find the measure if two complementary angles if the measure of the larger angle is 10 more than the measure of the smaller angle.
Answer: 50° and 40°
Step-by-step explanation:
Complementary angles add up to 90°
Smaller angle - x
Larger angle - 10 + x
10 + x + x = 90
10 + 2x = 90
Subtract 10 from both sides
2x = 80
Divide both sides by 2
x = 40
Larger angle - 10 + x
10 + 40 = 50
The measure of the smaller angle is 40° and the measure of the larger angle is 50°
Hope I helped!
I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.
Answer:
7 and 9
Step-by-step explanation:
Variables:
x = smaller number
y = larger number
We can set up two equations with the information given:
5x + 3y = 62
and
y = x + 2
We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.
Next, we need to replace our y in the first equation with the y in the second:
5x + 3y = 62
5x + 3 (x+2) = 62
5x + 3x + 6 = 62
8x = 56
x (smaller number) = 7
Finally, we solve for the larger number by placing it back into the second equation:
y = x + 2
y = 7 + 2
y (larger number) = 9
I hope this helps!
-TheBusinessMan
And this one please
if 14 inches on a map represent a distance of 74 miles,what distance does 8 inches represents?
Answer:
42 M
Step-by-step explanation:
14 =74
8/14 = ?/74
8/14= 0.57
So,
0.57*74 = 42
Answer:
x=42
Step-by-step explanation:
Please see the picture attached. I hope this helps!
Algebra 2 Please Help
Answer:
daaaaaaaaaa
Step-by-step explanation:
ssdddsss
WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?
Answer:
AOE
Step-by-step explanation:
A supplementary angle equals 180 which is also a straight line.
answer quick will give 20 points
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
The city of Port Angeles wants to estimate the percentage of likely voters within its city limits who favor a tax increase to build a new community center. A researcher for the city collects responses from 400 likely voters within the city limits. Match each description with a concept (individual, variable, population, sample, parameter, or statistic).
Description f. A likely voter within the city limits.
The set of responses of all likely voters within the city limits.
The percentage of all likely voters within the city limits favoring the tax increase.
The percentage of the 400 likely voters within the city limits favoring the tax increase.
The response of a likely voter within the city limits.
The set of responses of the 400 likely voters within the city limits.
Concept
a. individual
b. parameter
c. population
d. sample
e. variable
f. statistic
Answer:
a. individual - A likely voter within the city limits
b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.
c. population - The set of responses of all likely voters within the city limits.
d. Sample - The set of responses of the 400 likely voters within the city limits.
e. variable - The response of a likely voter within the city limits.
f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.
Step-by-step explanation:
Explaining the concepts :
An individual simply means each single data point in a dataset.
A set of individuals in a certain make up of interest is called a population.
A sample is defined as a random subset which is representative of the population.
Parameter is a statistical value derived from a population
Statistic is a statistical value derived from a sample
Variable - describes the attributes or characteristic of a sample or population.
a. individual - A likely voter within the city limits
b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.
c. population - The set of responses of all likely voters within the city limits.
d. Sample - The set of responses of the 400 likely voters within the city limits.
e. variable - The response of a likely voter within the city limits.
f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.
A group of students made tacos for their class lunch. The number of tacos each student made is shown in the table.
Student Number of Tacos
Jackie 6
Manny
6
Vinny 2
Paula 8
Marta 4
Evelyn 2
Which answer choices describe the ratio 6 : 4?
Select all that apply.
the ratio of the number of tacos Jackie made to the number of tacos Marta made
the ratio of the number of tacos Manny made to the number of tacos Evelyn and Vinny made
the ratio of the number of tacos Paula made to the number of tacos Jackie and Manny made
the ratio of the number of tacos Marta made to the number of tacos Manny made
the ratio of the number of tacos Manny made to the number of tacos Marta made
the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Answer:
-the ratio of the number of tacos Jackie made to the number of tacos Marta made
-the ratio of the number of tacos Marta made to the number of tacos Manny made
-the ratio of the number of tacos Manny made to the number of tacos Marta made
-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Step-by-step explanation:
There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
Explain Mistake and Find Correct Answer
angles opposite each other are equal as opposed to add up to 180
so
5x = 100
x = 20
what is the value of x in √x^3-1
9514 1404 393
Answer:
x ≥ 1
Step-by-step explanation:
The argument of the square root cannot be negative, so the expression is only defined for ...
x³ -1 ≥ 0
x³ ≥ 1 . . . . . add 1
x ≥ ∛1 . . . . cube root
x ≥ 1 . . . . the domain of the expression
_____
As you can see, the graph only exists for x ≥ 1.
What is the first step to solving this?
[tex]\sqrt{x-4}=7[/tex]
Answer:
First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²
Step by step:
x-4=7²
(because we changed side square root becomes exponent ²)
x=49+4
x=53
What is the simplest form of 4/3
Answer:
43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).
PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6
Answer:
ima say 200 but I'm not 110 percent sure
Question 5
Evaluate:
Five cubed.
Write the numerical answer only.
Answer:
125
Step-by-step explanation:
..................
Answer:
pretty sure it's 125
Step-by-step explanation:
hope this helps!
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answer:
part A: 17 weeks sorry if its wrong
part b: 120 hours sorry if its wrong
Step-by-step explanation:
Math
You have 8 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make?
Answer:
6 servings
Step-by-step explanation:
1,25x6=7.5
The number of servings can you make deep-fried chicken will be 6.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
You have 8 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
Let x be the number of the deep-fried chicken.
Then the inequality will be
1.25x ≤ 8
On solving, we have
x ≤ 6.4
Then the number of servings can you make deep-fried chicken will be 6.
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Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.
Answer: 87.92cm
Step-by-step explanation:
The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.
3.14x28 = 87.92
The circumference of the circle is 87.92 cm
The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
A. How many different lunches are possible.
B. What is the probability that the lunch special of the day is ham on rye with tea?
Please Help With Both Answers - I Will Give BRAINLIEST, and 50 points.
Total combinations are found by multiplying the quantities of each part by each other.
3 kinds of meat x 2 types of bread x 3 types of drinks
A) total combinations = 3 x 2 x 3 = 18
B) there are 18 different combinations, ham in rye with tea is 1 combination.
The probability would be 1/18
if cos x = 2 sin x, so the value of sin x cos x is ...
Answer:
1/2
Step-by-step explanation:
As cosx= 2sinx,
now,
so, sinxcosx = sinx(2sinx) = 2 sin²x
Again,
2sin²x =1
sin²x= 1/2
sinx = 1/ root 2
sinx = sin 30
x = 30