Answer:
His son present age is 20 years
His present age is 40 years
Step-by-step explanation:
Assume that this son's age now is x years
∵ His son's age now = x years
∵ Ankit age is twice as old as his son
→ Twice means × 2
∴ Ankit age = 2 × x = 2x years
→ In for years means after 4 years (add)
∵ His age in four years = 2x + 4
→ 9 years ago means before 9 years (subtract)
∵ His son 9 years ago = x - 9
∵ In 4 years he will be four times as old as what his son was 9 years ago
→ That means 2x + 4 = 4 × (x - 9)
∴ 2x + 4 = 4(x - 9)
→ Let us solve the equation to find x
∴ 2x + 4 = 4(x) - 4(9)
∴ 2x + 4 = 4x - 36
→ Subtract 4 from both sides
∵ 2x + 4 - 4 = 4x - 36 - 4
∴ 2x = 4x - 40
→ Subtract 4x from both sides
∵ 2x - 4x = 4x - 4x - 40
∴ -2x = -40
→ Divide both sides by -2
∵ [tex]\frac{-2x}{-2}[/tex] = [tex]\frac{-40}{-2}[/tex]
∴ x = 20
∵ x represents the present age of his son
∴ His son present age is 20 years
∵ 2x represents his present age
∵ 2(20) = 40
∴ His present age is 40 years
In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.
Answer: 0.48 .
Step-by-step explanation:
The sample proportion is a ratio of number of successes in a sample to the sample size.Let p be the proportion of voters actually voted for the Republican presidential candidate.
Given: In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.
Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]
Hence, the sample proportion is 0.48 .
Use: Ck
n!
k! (n-k)!
to solve the combination.
During a lunch seminar chocolate,
caramel, and strawberry toppings
were available. How many two-topping
sundaes are possible?
Answer:
3
Step-by-step explanation:
Chocolate-caramel
Carmel- strawberry
Chocolate-strawberry
That’s 3 ways.
The term "jet stream" is often used by weather forecasters to describe
A: The cloud-like condensation trails that are sometimes seen behind jet aircraft.
B: Warm pacific winds associated with volcanic activity in the western pacific which carry heat to the north pole
C: Solar winds that bring high energy particles to the upper atmosphere, providing heat which sets off convection cycles disturbing weather in the tropical latitudes
D: The west to east winds that circle the globe, often just below the poles in latitude and just beneath the stratosphere in elevation
Answer:
daddy chill what does the man say?
Step-by-step explanation:
???
need help with it asap you need to show your work
Answer:
the correct answer is 21
Step-by-step explanation:
5+3×3(2)-2
5+18-2
=21
help!! math question!
-4[tex]\frac{2}{5}[/tex] ÷ ( -5)
Answer:
is 22 over 25 and in decimal will be 0.88
Hannah invested $820 in an account paying an interest rate of 1.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 16 years?
Answer:
$1,093.67 = $1,100 rounded to th next $100
Step-by-step explanation:
Final investment value
$1,093.67
Total interest earned
$273.67
Initial balance
$820.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
1.816%
The formula used in the compound interest calculator is A = P(1+r/n)^(nt)
A = the future value of the investment
P = the principal investment amount
r = the interest rate (decimal)
n = the number of times that interest is compounded per period
t = the number of periods the money is invested for
Answer:
1100
Step-by-step explanation:
Multiply -5/3 and -9/1
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Complete question is;
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Answer:
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Step-by-step explanation:
We are told that the deposits are;
$21.68, $42.09, and $65.44.
Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.
Thus;
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Is Oregon a swing or a safe state?
Answer:
Oregon is a safe state
Step-by-step explanation:
this election it is also democratic
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, .
ΟΟΟΟ
-6
-4
4
6
The ages of 8 different students in a college math class were used to make the box plot shown above. Which of the following
numbers below is the range of the ages?
A. 8
B. 5
C. 3
D. 18
Answer:
Range is 8
Step-by-step explanation:
To find range you need to subtract the largest number with the smallest. The largest is 28 and the smallest is 20.
28-20=8
Can someone factor f(x)= 2x^4 -12x^3 +6x +20x and please show steps thank you
Answer:
I dont think the way you wrote it was right.
Step-by-step explanation:
Answer:
f(x) = 2x(x - 5)(x -2)(x + 1)Step-by-step explanation:
Given
f(x)= 2x^4 -12x^3 +6x^2 +20xFactoring in steps
f(x)= 2x^4 -12x^3 +6x^2 +20x =2x(x^3 - 6x^2 + 3x + 10) =2x(x^3 - x^2 - 2x - 5x^2 + 5x + 10)2x(x - 5)( x^2 - x - 2) = 2x(x - 5)(x -2)(x + 1)Which interval for the graphed function has a local minimum of 0?
Answer: your answer would be [2, 4]
Step-by-step explanation:
tell me if im wrong please
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
5 twenty's 1 five
Step-by-step explanation:
20 x 5 = 100
100 = 5 = 105
What is the slope and the y-intercept of the following linear equation?
Answer:
wish i coul d help
Step-by-step explanation:
How do you write 1 2/3 as a decimal.
Answer:
1.7
Step-by-step explanation:
What is the answer here
Answer is B. 6a/b^7
If correct make brainliest?
which of the following statements is true?
A: 1.7 less than 1 1/2
B: 3/4 less than pr equal to 7/8
C: -1 1/2 less than -1.5
D:0.01 greater than 0.q
Answer:
the answer will be A 1.7 less than 1 1/2
Select all expressions that are equivalent to 6(b + 2) – b.
5b + 8
7b + 8
5b + 12
6b + 8 – b
6b + 12 – b
The given expression is equivalent to -
6b + 12 - b 5b + 12What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
6(b + 2) – b
We can write this expression as -
6(b + 2) – b = 6b + 12 - b = 5b + 12
Therefore, the given expression is equivalent to -
6b + 12 - b 5b + 12To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ2
The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches
Answer:
The actual relative abundance will be "7.59".
Step-by-step explanation:
The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.The predicted relative abundance for 3 inches rainfall will be:
= [tex]6.7 - (0.12\times 3)[/tex]
= [tex]6.34[/tex]
The residual will be:
= [tex]actual - predicted \ relative \ abundance[/tex]
= [tex]1.25[/tex]
Now,
The actual relative abundance will be:
= [tex]1.25 + predicted \ relative \ abundance[/tex]
= [tex]1.25 + 6.34[/tex]
= [tex]7.59[/tex]
Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.
Step 2: Evaluating trends of data
Because you want to prepare and serve the healthiest food possible, you monitor the fat
and calorie content of items on your menu. Some of the menu items are included in the
graph below.
Fat & Calorie Content
1000
800
1600
Calories
400
200
0
0
6
10
12
2
14
16
8
Fat
a) Your business partner describes this as a high positive correlation. Is your partner
correct? Why or why not? (2 points)
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2
points)
Answer: im actually doing this rn
Answer:
I know im late but here is the answer can i still get breainliest?
Step-by-step explanation:
a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not?
Yes, my partner is correct because as the fat increases the calories increase. And when the points are rising from the left to the right, this indicates a positive correlation.
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above.
it's basically a line that goes up to the right like this /
c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points?
This is a linear trend because it moves in a line going up at a predictable rate.
d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.
No, the trend line is not linear, because it squiggles at the end.
Please answer this question! as fast as possible please anyone help
the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be
y=3x+-3
HELP!!!!i will give BRAINLIEST
Answer:
2.9
Step-by-step explanation:
2 9/10 as an improper fraction is 29/10
29/10 as a decimal is 2.9
Answer:
2.9
Step-by-step explanation:
Math. Pls give brainliest:)!
Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How
much money has he left, if he had $88.76 to start with?
12x64, 7th grade math
Answer:
768
Step-by-step explanation:
Answer:768
Step-by-step explanation:
I WILL MARK BRAINLIST
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It translates 5 up and 3 left
the length of a rectangle is 7m more than twice the width, and the area of the rectangle is 99m to the second power. find the dimensions of the rectangle.
Answer:
The area of a rectangle is 99 m^2 , and the length of the rectangle is 7 m more than double the width
Step-by-step explanation:
Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?
A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Pythogorean Theorem:
a squared + b squared = c squared
9 squared or 81 + ? squared = 15 squared or 225
Inverse Pythagorean Theorem:
c squared - a squared = b squared
225 - 81 = 144
sqrt (144) = 12
12 = b
Hope this helps! Good luck!
1 pound of blueberries cost $2.75 yes or no
Answer:
no
Step-by-step explanation:
cause I don't really know