The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the youngest brother?
Answer:
28 years
Step-by-step explanation:
youngest brother's age = x
middle brother's age = x+2
oldest brother's age = x+4
3(x-2) = (x+2)+48
[simplify]
3x-6 = x+50
[add 6 to each side]
3x = x+56
[subtract x from each side]
2x = 56
[divide each side by 2]
x = 28
ONE EASY FRESHMEN MATH QUESTION!!
Suppose Thomas owns 30 movies. If the ratio of old movies to new movies is 4:1, how many new movies does Thomas have?
Select 1 answer
A- 1 new movie
B- 5 new movies
C- 24 new movies
D- 6 new movies
Please Hurry!
Endpoint: (1.-10), midpoint: (6, -6)
Answer:
Step-by-step explanation:
(x + 1)/2 = 6
x + 1 = 12
x = 11
(y -10)/2 = -6
y - 10 = -12
y = -2
(11, -2)
What is the End behavior on the right side?
Answer: Choice A) [tex]x \to \infty, \ \ y \to \infty[/tex]
As x gets larger in the positive direction, so does y.
Both x and y are going to infinity.
This is another way of saying "rises to the right".
Simplify 2x^7 times x^-4
Answer:
The answer is B
2x to the power of 3
Step-by-step explanation:
2x to the power of 7 minus 4 equals
2x to the power of 3
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Paula leaves home driving 40 miles per hour. One hour
later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula?
Find the value of x. Then find the missing angle measures of the polygon.
5x degree
110 degree
2x degree
Sum of angle measures: 180 degree
Answer:
10
Step-by-step explanation:
what is the equation of the line passing through the points (3,6) and (2,10)
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
3= x1
2= x2
6= y1
10=y2
m=[tex]\frac{10-6}{2-3}[/tex]= [tex]\frac{4}{1}[/tex]= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of
Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One
member of the population is selected at random for a survey involving cell
phone carriers
Express the cigar smoking data as conditional probabilities.
Find the
probability that the selected subject does not smoke cigars given that the
subject is male
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Proportion of males, P(M) = 77% = 0.77
Proportion of females = ( 1 - proportion of males) = (1 - 0.77) = 0.23
Percentage of males who smoke cigar = 11.3% = 0.113
Percentage of female who smoke cigar = 2.1% = 0.021
Expressing cigar smoking Data as conditional probability :
P(male and smoking) = P(M n C) = 0.113
P(Female and smoking) = P(F n C) = 0.021
Probability of smoking cigar Given the person is a male :
P(C | M) = P(M n C) / P(M)
Probability of smoking cigar Given person is a female :
P(C | F) = P(F n C) / P(F)
Find the probability that the selected subject does not smoke cigars given that the subject is male?
No smoking Given Male = 1 - P(C | M)
P(C | M) = P(M n C) / P(M)
P(C | M) = 0.113 / 0.77
P(C | M) = 0.1467
1 - P(C | M)
1 - 0.1467
= 0.8533
6. (01.01 MC)
Why is 1 + (-5) equal to -4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
O
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line
Step-by-step explanation:
Because it is 5 units to the left of 1 on a horizontal number line
Are these expressions equivalent? Explain why or why not 42+35 7(6+5)
Answer:
yes, they are equivalent
Step-by-step explanation:
solving each expression fully, you will find that both are equal to 77
Answer:
They are equivalent.
Step-by-step explanation:
7⋅11⋅13+13and7⋅6⋅5⋅4⋅3⋅2⋅1+5 are composite numbers.
Can someone help me please!!!!!
Answer:-4
Step-by-step explanation:
Answer:
forgive me if I'm wrong, but I believe that a is -2.25. someone, please comment if I'm incorrect.
Step-by-step explanation:
I subtracted 3.25a from both sides and got
0.75a+5=2
then I subtracted both sides from 5 and got
0.75a=-3
divided both sides by 0.75
and I got a= -2.25
Translate sentence into an equation.
Thirteen is 7 more than one-fifth of a number
Answer:
[tex]13=7+\frac{1}{5}x[/tex]
Step-by-step explanation:
The answer would be 30
Ava turtle is half as old as her parrot in 10 years her turtle will be 3/4 as old as her parrot .write the equation to represent this situation.How old is avas turtle
Answer:
13
Step-by-step explanation:
I think the turtle would be 13 and 1/3 because we know that the turtle is half as old as the parrot. So if we divide 10 by 3/4 we can get how old the turtle is now
The system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
Thus, the age of the ava's turtle is 5 years.
Given:
Ava's turtle is half as old as her parrot.
The turtle will be 3/4 as old as her parrot in 10 years.
Let us assume the age of the turtle is x years and the age of the parrot is y years.
According to the first statement, the variables can be related as:
[tex]{x}=\dfrac{y}{2}\\2x=y[/tex]
According to the second statement, the variables can be related as:
[tex]\begin{aligned}x+10&=\dfrac{3}{4}(y+10)\\4(x+10)&=3(y+10)\\4x+40&=3y+30\\4x-3y&=-10\\3y-4x&=10\end{aligned}[/tex]
Thus, the system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
By solving the above system of the equation, we get x=5 and y=10.
Thus, the age of the ava's turtle is 5 years.
To know more about the system of the equation, please refer to the link:
https://brainly.com/question/2146068
Help me ASAP plz !????
Answer:
a. 50
Step-by-step explanation:
130 and angle 6 have to add up to 180 which means you subtract 130 from 180 which gives you 50
Kayla worked 3x+6 hours this week. She earns x-2 dollars per hour.
Use the drop down below to create a polynomial that represents the amount Kayla earned this week.
the first drop answer choices are
A)2x
B)2x²
C)3x
D)3x²
E)4x
F)4x²
the second drop menu answer choice
A)+
B)-
the third drop menu answer choice
A)4
B)8
9)12
Answer:
3x²-12Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
3x²
-
12
Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
which of the following is an improper fraction?
Answer:
If the numerator of a fraction is greater than or equal to its denominator, then the fraction is an improper fractio. That is the fraction a/b is called improper if a ≥ b.
Example : 1/1, 2/1, 5/1, 4/3, 6/4, 9/5, 7/7, ...etc
enter the number of complex zeros for the polynomial function in the box
f(x)=x^3-96x^2+400
Answer: Your answer would be 3
Is the equation true or false when x = 4? (3−x28)⋅12=3x(3−x28)⋅12=3x true false
Answer:
It’s true
Step-by-step explanation:
estimate the value of 48 square root to the nearest tenth.
Answer:
Square Root of 48 to the nearest tenth, means to calculate the square root of 48 where the answer should only have one number after the decimal point. To check that the answer is correct, use your calculator to confirm that 6.92 is about 48.
Step-by-step explanation:
There ya gooooo :)
The value of the expression √48 will be given as 6.93.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ √48
The power of the number 48 is 1/2. Then the value of the expression will be
[tex]\rightarrow \left ( 48 \right )^{\frac{1}{2}}\\[/tex]
→ 6.93
The value of the expression √48 will be given as 6.93.
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ2
What is the scale factor of AABC to ADEF?
A. 6
B. 1/6
C. 2
D. 1/2
Answer:
1/6
Step-by-step explanation:
Side AB * scale factor = Side DE
72* scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Option B is correct, 1/6 is the scale factor of triangle ABC to triangle DEF
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Dilation is a transformation, which is used to resize the object
The size by which the shape is enlarged or reduced is called as its scale factor.
DEF is dilated graph of ABC
Let us take any side of ABC and its corresponding side to find the scale factor
Side AB × scale factor = Side DE
72×scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Hence, 1/6 is the scale factor of triangle ABC to triangle DEF
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
-2.5(-2-3x)+2.5(-4x-1)=-2x-4x
Answer:
x=−0.714286
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2.5(−2−3x)+2.5(−4x−1)=−2x−4x
(−2.5)(−2)+(−2.5)(−3x)+(2.5)(−4x)+(2.5)(−1)=−2x+−4x(Distribute)
(7.5x+−10x)+(5+−2.5)=(−2x+−4x)(Combine Like Terms)
Step 2: Add 6x to both sides.
Step 3: Subtract 2.5 from both sides.
Step 4: Divide both sides by 3.5.
x=−0.714286
simplify the expression:
-5 (z - 1) =
Answer:
maybe -5z-1?
Step-by-step explanation:
jennas dogs used 9 chew toys last year. The animal shelter used 2,277 chew toys. How many times as many chew toys did the animal shelter use?
Answer:
253 is the answer
Step-by-step explanation:
Divide 2,277 and 9.
If you are given a graph, an equation, and a table; each representing a different linear function how would you determine which one has the greatest rate of change
Answer:
you would simply calculate the slope for each, a graph it is easy because you simply get two points on the graph and solve for it (y2-y1/x2-x1), an equation if it is in slope intercept form, the coefficient of x is the slope, from a table you use a similar method to a graph except you grab two values/instances, let's say in a table the numbers are presented like this:
3 4
2 6
You would then simply do the same thing for solving for the slope (y2-y1/x2-x1). In this instance it would be 6-2/4-3=4/1
All of these would give you the rate of change as the slope is the rate of change.
Step-by-step explanation:
SOMEBODY HELP!
MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK
Label each of the parts: terms, like terms, coefficients, and constant
terms.
9 + 7y - 2 - 5y
Answer:
= 7 + 2y.
Step-by-step explanation:
Collect like terms.
(9 − 2 ) + (7y − 5y )
Simplify.
= 7 + 2y.
Hope this helps.
Have a good night ma'am/sir.
Be safe!
Do you know what the easiest question there is
Answer:ehm.. no
Step-by-step explanation:
Answer:
1 + 1 = 2
Step-by-step explanation:
This grid shows the location of four animals.
Where is Chewy located?
Answer:
We can't see the graph
Step-by-step explanation:
Uhh look at the # points like 123 ya know
Answer:
can't see graph
Step-by-step explanation:
Solve x^2 - 16x = -12 by completing the steps.
First, subtract ____ from each side of the equation.
Answer:
You would subtract -12 from both sides!
Explanation:
The eqaution will become like this:
[tex]x^{2}[/tex] - 16x + 12 = 0
Then you would solve it with the Quadratic Equation formula.
Answer:
First, subtract 60 from each side of the equation.
Next, add 64 to each side of the equation to complete the square.
Now, write x² - 16x + 64 = -8 as (x-8)^2=-8
Take the square root of both sides to get the solutions.
8+-2=[tex]\sqrt{2i}[/tex]
Step-by-step explanation: