Dan is 30 years older than Jake. In 8 years Dan will be 4 times Jake's age. How old is Jake now?

Answers

Answer 1
Jake is 1 now!! If Dan is 30 years older than Jake and in 8 years Dan would be 38 And Jake would be 9( If Dan will be 4 times older than Jake)

Related Questions

Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,

Answers


a, b, c, d - măsurile unghiurilor ⇒ a+b+c+d= 360°

[tex]\it \{a,b, c, d\}\ d.p. \{2,3, 6, 7\} \Rightarrow \dfrac{a}{2}= \dfrac{b}{3}= \dfrac{c}{6} =\dfrac{d}{7}= \dfrac{a+b+c+d}{2+3+6+7} = \\ \\ \\ = \dfrac{360^0}{18} =20^0[/tex]

[tex]\it \dfrac{a}{2} =20^0 \Rightarrow a=20^0\cdot2 =40^0 \\ \\ \dfrac{b}{3} =20^0 \Rightarrow b=20^0\cdot3 =60^0 \\ \\ \dfrac{c}{6} =20^0 \Rightarrow c=20^0\cdot6 =120^0 \\ \\ \dfrac{d}{7} =20^0 \Rightarrow d=20^0\cdot7 =140^0[/tex]


What is the coefficient of 12a+5

Answers

The coefficient is 12a because it has a variable (a).
The coefficient of the expression 12a+5 is 12. The coefficient is always the number that has a variable (in this case it is the letter “a”)
I hope this helped! :-)

Find the value of y.

A.
18
B.
22
C.
24
D.
28

Answers

40^2 - 32^2=576
square root of 576 will be 24 so 24 is y

Answer:

C. 24

Step-by-step explanation:

ED2021

Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 years. What will his monthly payment be?
$156.47
$227.46
$230.79
$324.90

Answers

c) $230.79

Hope this helped!

Final answer:

Victor's monthly payment for the $6800 loan at 13.5% APR over 3 years is approximately $227.46.

Explanation:

To calculate Victor's monthly payment for a loan of $6800 at an APR of 13.5% over 3 years, we need to first convert the annual rate to a monthly interest rate. This is done by dividing the APR by 12 (months in a year). So, the monthly interest rate is 13.5% divided by 12, which is approximately 1.125% per month or 0.01125 in decimal form.

Next, we use the formula for an amortizing loan payment:

P = (Pv*r) / (1 - (1+r)⁻ⁿ)

Where P is the monthly payment, PV is the present value or the amount of the loan, r is the monthly interest rate in decimal form, and n is the total number of payments (months).

For Victor's loan, we have:

Present Value (PV) = $6800
Monthly Interest Rate (r) = 0.01125
Total Number of Payments (n) = 3 years * 12 months/year = 36 months

Substituting the given values into the formula yields:

P = ($6800 * 0.01125) / (1 - (1+0.01125)⁻³⁶)

Calculating the above expression, we find that Victor's monthly payment is approximately $227.46, which is one of the options given.

Working together 6 friends picked 14 2/5 lb of pecans at a pecan Farm. They divided the pecans equally among themselves. How many pounds does each friend get?

Answers

Each friend would receive 2 2/5 pounds of pecans. 
14 2/5 divided by 6 = 2 2/5

Rewrite the rational exponent as a radical exponent

Answers

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \\\\ -------------------------------\\\\ \sqrt[3]{2^7}\implies 2^{\frac{7}{3}}[/tex]

One number is equal to the square of another. find the numbers if both are positive and their sum is 18921892.

Answers

If n is the number, the sum is
.. n^2 +n = 1892
The solution to this quadratic is
.. n = 43

Your numbers are 1849 and 43.

_____
The product n^2 +n can be written as n(n+1). Since n is fairly large,
.. n + 1/2 ≈ √(n*(n +1))
.. √1892 ≈ 43.497 ≈ 43 1/2
so n = 43.
There are more formal ways to get this result exactly, but it is often convenient to use a square root like this to get you close to the number of interest.

The perimeter of the scalene triangle is 54.6 cm.



Which equation can be used to find the value of b if side a measures 8.7 cm?

A) 8.7 + b = 54.6
B) 17.4 + b = 54.6
C) 26.1 + b = 54.6
D) 34.8 + b = 54.6

Answers

A scalene triangle is one whose sides are all a different length. So there is no way you can find the length of b when you are only given the length of a and the perimeter.


Its not b but if I had to guess I would say c

!!!!!HELP PLEASE!!!
Which of the following statements is NOT true?
A. Every function can be represented by a graph in the Cartesian plane.
B. Another name for an x-intercept is a real zero.
C. A function can have several y-intercepts.
D. A function can have infinitely many x-intercepts.

Answers

Hey there!

The answer to your question is " A function can have several y-intercepts". This statement is not true.

The following are true:
-
Every function can be represented by a graph in the Cartesian plane.
-
Another name for an x-intercept is a real zero.
and
A function can have infinitely many x-intercepts.

Final answer:
Option "C."

Hope this helps you.
Have a great day!

Final answer:

The statement that is NOT true is that a function can have several y-intercepts.

Explanation:

NOT true statement: C. A function can have several y-intercepts.

In a Cartesian plane, a function typically has only one y-intercept, where it crosses the y-axis.

A y-intercept represents the point where the function intersects the y-axis, indicating the value of the function when the input is zero.

Which graph shows a proportional relationship?

Answer choices attached.

Answers

the first graph is the answer

Which of the following mixed numbers is equivalent to 12.1 6 ?

Answers

Well, you don't have any options.
But a mixed number for 12.16 would be 12 4/25. Hope it helps! :)

Would it still be the same if the 6 was terminated?

Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.
Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza?

Answers

Not being cheese = P(not cheese) = 100 - P(cheese)
Being cheese is 21/the total

Total = 21 + 14 + 23 + 14
Total = 72

P(cheese) = 21/72 x 100
About 29%
P(not cheese) =71%

Which monomial function has a maximum value?
(Can anyone explain how you can tell?)

y=-6x^3
y=-5x^4
y=5x^6
y=6x^5,

Answers

To determine which of the following monomial function has a maximum value, you have to assume the value of x. Let us say the value of x is 2. Substitute 2 for all x’s in the monomial function.

y=-6x^3 = -6(2)^3 = -48
y=-5x^4 = -5(2)^4 = -80
y=5x^6 = 5(2)^6 = 320
y=6x^5 = 6(2)^5 = 192 Therefore, the monomial function with the maximum value is y = 5x^6

 

Answer:

[tex]y=-5x^4[/tex]

Step-by-step explanation:

Remember that a maximum value (global) of a function is the bigest value that the function takes.

For see the values of the functions you can see its graphs.

I have uploaded the graphs of the functions in the question and you can see it, and then convince yourself why the answer is y=-5x^4.

Also you have the fact that the functions of the form [tex]y=kx^n [/tex] have a maximum value only if   [tex]n[/tex] is an even natural number and k is a negative real number.

Think about parallel and perpendicular lines. In what profession might a person rely upon this information? Describe how that person would apply these concepts? @malcolmmcswain,

Answers

An engineer relies heavily on the use of perpendicular and parallel lines. they use these lines to draw concepts, plot graphs, and find solutions to problems that arise.

Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?

a.)28
b.)26
c.)30
d.)32,

Answers

Hi there,

Let the age of the 4th person be F

Sum of the 1st four in line: 4(23), or 92

Sum of 1st 3: 92 - F (excludes the 4th person's age)

Sum of the last 3 in line: 3(34), or 102

Sum of last 2: 102 - F (excludes the 4th person's age)

Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)

We now get: F + 92 - F + 102- F = 162

- F + 194 = 162

- F = 162 - 194

- F = - 32

F =32.
Hence ans is op (D).
Hope it helps

The best answer for this question would be:

 

D. 32

 

In order to get this, you have to get the sum in the line, which is the first four people. So the solution would be: 4(23) = 92

 

For getting the sum of the people in the last 3 would be: 3(34) = 102

 

Next is the sum of everyone which the solution would be: 6(27) = 162

 

So the initial solution that we have now would be: F + 92 - F + 102- F = 162

 

- F + 194 = 162

 

- F = 162 - 194

 

- F = - 32

 

The (F) here or the fourth person’s age would be= -32 / - 1 or 32

Express the difference in the means as a multiple of their ranges.

Answers

Answer:

Hence, the difference in mean is represented as:

                         12=2.5×5

where 5 is the range and 12 is the difference in the mean.

Step-by-step explanation:

Shade plant Height (in.)

7    11     11      12      9      12      8     10

Minimum value=7

and Maximum value=12

Range=Maximum value-Minimum value

This means that Range is: 12-7=5

Also, the mean is calculated as follows:

[tex]Mean=\dfrac{7+11+11+12+9+12+8+10}{8}\\\\\\Mean=\dfrac{80}{8}\\\\\\Mean=10[/tex]

Sun Plant heights (in.)

21    24    19    19     22    23    24    24

Minimum value=19

and Maximum value=24

Range=Maximum value-Minimum value

This means that Range is: 24-19=5

Also, the mean is calculated as follows:

[tex]Mean=\dfrac{21+24+19+19+22+23+24+24}{8}\\\\\\Mean=\dfrac{176}{8}\\\\\\Mean=22[/tex]

Difference in mean is: 22-10=12

Also, the range of both the set is:  5

Hence, the difference in mean could be expressed as:

       12=5×n

Hence, n=2.5

The expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

For the first data:

The mean can be calculated as follows:

[tex]\rm Mean = \frac{\sum x}{n}[/tex]

[tex]\rm Mean = \frac{7 + 11+ 11+ 12 + 9+ 12+ 8+ 10}{8}[/tex]

Mean(1st data set) = 10

For range:

The minimum value in the data set = 7

The maximum value in the data set = 12

Range = 12 - 7 ⇒ 5

For the second data set:

The mean can be calculated as follows:

[tex]\rm Mean = \frac{\sum x}{n}[/tex]

[tex]\rm Mean = \frac{21 + 24 + 19 + 19 + 22 + 23 + 24 + 24}{8}[/tex]

Mean(2nd data set) = 22

For range:

The minimum value in the data set = 19

The maximum value in the data set = 24

Range = 24- 19 ⇒ 5

Difference in means = 22 - 10 ⇒  12

Since the range is the same for both the data set.

From the problem:

12 = 5×n

n = 2.4

Thus, the expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ3

Which of these options for saving money typically offers the most liquidity?

A. A savings bond
B. A money market account
C. A certificate of deposit
D. A basic savings account
@soccerman,

Answers

The correct answer is:
D) a basic savings account.

Explanation:
Liquidity means ability to withdraw your money quickly.

A savings bond takes time, often years, to mature.

A money market account is fairly liquid, although it can take up to 7 days to withdraw your money.

A certificate of deposit (CD) can be easily withdrawn, but you will lost interest if you do not fulfill the entire term of the CD.

With a basic savings account, you can withdraw money at any time; however you may experience fees for not having met the minimum balance requirements if you're not careful.

Answer:

this guy should not be certified, it's savings bond just had the question


A P E X


A cab driver told Bernice her fare came to a total of $7.75. She pays with a $10 bill. How much change should she get?

Answers

She would get $2.25 back from the driver.
2.25 back from the driver

An equilateral triangle has a length of 18 feet, determine the length of the triangle

Answers

Hello Delanew,

Do you mean the altitude of the triangle, since you are already given the length?

If you are looking for an altitude, you can start by drawing it in your triangle. You will see that it divides the triangle into two 30, 60, 90 triangles. The short leg of the triangle is 6, so using the rules for a 30, 60, 90 triangle the longer leg (your altitude) would be 6 square roots of 3. Or about 10.39.

If this isn't what you are looking for, let me know.
I can try and help.

Good luck!
The remaining lengths within an equilateral triangle are all the same. Each of the side lengths are also 18 feet, hence the name equal lateral sides.

If a circle has a radius of 20.5 cm, what is its circumference?

Answers

according to my math the answer is 128.81 cm.
2[tex] \pi [/tex]r 
2[tex] \pi [/tex]20.5
after calculating, you should get-
128.8 cm

In triangle ∆PQR, C is the centroid.



If PX = 25, find PQ



If CY = 9, find PC and PY



If QC = 12, find ZC and ZQ

not 100% sure how to figure this out

Answers

Given that P is the Centroid of the triangle PQR, it then follows that:
PZ = ZR          ... (Equation 1)
QY = YR         ... (Equation 2)
PX = XQ         ... (Equation 3)

QUESTION 1
If PX = 25, find PQ 
From the diagram, PQ = PX + XQ

Remember, PX = XQ         ... (Equation 3)
Therefore, PQ = PX + XQ = PX + PX
⇒ PQ = PX + PX
PQ = 2(PX)

Since PX = 25
PQ - 2(25)
PQ = 50


QUESTION 2
If CY = 9, find PC and PY 

We know that the centroid of a triangle divides each median into segments with a 2:1 ratio, therefore:

PC = 2(CY)
Since CY = 9,
PC = 2(9)
PC = 18

From the diagram, we see that,
PY = PC + CY
PC = 18, CY = 9
PY = 18 + 9
PY = 27


QUESTION 3
If QC = 12, find ZC and ZQ

Again, going by the fact that the centroid of a triangle divides each median into segments with a 2:1 ratio,

ZC = QC/2
Since QC = 12
ZC = 12/2
ZC = 6

From the diagram, we see that
ZQ = ZC + QC
ZC = 6, QC = 12
ZQ = 6 + 12
ZQ = 18

John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Hellpppppp,

Answers

If John reads three more pages, he has read a third of the book. Therefore (114+3) = 1/3 * p. 117 = 1/3p Multiply both sides by 3 to isolate p. 351 = p. 351 pages are in the novel.

Use the information given to determine Whether bd||ae

Answers

Answer: In problem 8, the lines are not parallel. In problem 10, the lines are parallel.

To determine if the lines are parallel. You need to check if the segments form on each side are proportion.

#8 check to see if: 2/1 = 3/1.2
If you cross multiply, you get 3 = 2.4 which is not true, so the lines are NOT parallel.

#10 check to see if: 6/5 = 9/7.5
If you cross multiply, you get 45 = 45 which is true, so the lines are parallel.

A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence. answer

Answers

Final answer:

The 12th term in the sequence is 61.

Explanation:

The given sequence is defined by the formula A(n) = -5 + 6(n-1), where n represents the term number. To find the 12th term, substitute n = 12 in the formula.

A(12) = -5 + 6(12-1) = -5 + 6(11) = -5 + 66 = 61

Therefore, the 12th term in the sequence is 61.

Learn more about Finding the nth term in a sequence here:

https://brainly.com/question/31162467

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The 12th term of the arithmetic sequence is calculated using the formula A(n) = -5 + 6(n-1) by substituting n with 12, resulting in the term being 61.

The 12th term of the sequence can be found using the arithmetic sequence formula provided. We will use the clarified formula A(n) = -5 + 6(n-1) to find the 12th term.

Firstly, plug in the value of n = 12 into the formula to compute the 12th term:

A(12) = -5 + 6(12-1)A(12) = -5 + 6(11)A(12) = -5 + 66A(12) = 61

Therefore, the 12th term in the sequence is 61.

Use a calculator to convert the angle to a decimal in degrees 61 59'20"

Answers

Answer: 61.99°

Explanation:

You can determine which the conversion through this calculation:

1) 1° = 60 ' => 59' = 59/60 ° = 0.98333°

2) 1' = 60'' => 20'' = 20/60 ' = 0.33333' = 0.33333 / 60 ° = 0.00555°

3)  Add 59/60 ° + 20/60/60° = 0.9889°

4) Add the decimal part to 61° => 61.9889 °≈ 61.99°

From 1980 to 1990, the consumer price index (CPI) increased from 82.4 to 130.7. If a gallon of apple juice cost $0.95 in 1980 and the price of apple juice increased at the same rate as the CPI from 1980 to 1990, approximately how much did a gallon of apple juice cost in 1990?

A. $0.56
B. $0.82
C. $1.51
D. $1.31

Answers

Answer: C $1.51

To solve this, start with a proportion. Put the CPI numbers on the left and the apple juice prices on the right.

You will have:

82.4/130.7 = 0.95/x

Cross multiply to solve and you will get the price of the juice is $1.51.

Answer:

The cost of the gallon of the apple juice is approximately $1.51 in 1990. (Option C)

Step-by-step explanation:

As it can be assumed that the increase of the gallon of apple juice is proportional to the increase of the CPI, we can state that the rate of the price of 1990 to the price of 1980 is the same than the rate of the CPI in 1990 to the CPI in 1980:

$130.7 / $82.4 = Pg (1990)/ $0.95

Where Pg (1990) is the apple juice gallon cost for 1990. By solving the equation above:

$130.7 / $82.4 * $0.95 = Pg (1990)

Pg (1990) = $1.5068 ---> Pg (1990) = $1.51

write the rule for the table as an algebraic expression.
the table shows
in : x | 2 | 3 | 4 | 5
out: y 5 | 7 | 9 | 11 | plz answer

Answers

For this case what you should do is write the table in a software that allows you to graph each ordered pair.
 You can use Excel, for example, to graph the ordered pairs in the table.
 We observe that when graphing the behavior of the ordered pairs is linear.
 The equation of the line is:
 y = 2x + 1
 Answer:
 The rule for the table as an algebraic expression is:
 y = 2x + 1

F left parenthesis x right parenthesis equals 9 x cubed plus 2 x squared minus 5 x plus 4 and g left parenthesis x right parenthesis equals 5 x cubed minus 7 x plus 4. what is f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis? show all of your steps and write your final answer in factored form.

Answers

The answer is 2x(2x²+x+1).

When we subtract polynomials we combine like terms:
(9x³+2x²-5x+4)-(5x³-7x+4)

9x³-5x³=4x³
2x²- 0 = 2x²
-5x--7x=-5x+7x=2x
4-4=0

This gives us 
4x³+2x²+2x

Each of these is divisible by 2, and each has an x, so we factor those out:
2x(                        )

4x³/2x = 2x²:
2x(2x²                   )

2x²/2x=x:
2x(2x²+x               )

2x/2x = 1:
2x(2x²+x+1)

Suppose you earn 15$ for each car you wash. Which function describes the relationship between your total earnings E and the number of cars you wash, c?
A) E(c) = c + 15
B) E(c) = 15c
C) c = 15E
D) E(c) = c - 15

Answers

E(c)=15c because 15 is the cost of each car washes and c is the number of car washes
the answer is B. by multiplying them you get the whole income. i think:)

△PQR is similar to △STU . In addition, m∠U=96° and m∠T=6(m∠P) . What is m∠P ? Enter your answer in the box. °

Answers

△PQR is similar to △STU

m∠R = m∠U = 96°

m∠Q = m∠T = 6

m∠P = 180 - ( 96 + 6)

m∠P = 180 - 102

m∠P = 78
 
answer 

m∠P = 78

Answer:

[tex]m\angle P=12^{\circ}[/tex]

Step-by-step explanation:

Two triangles are similar if their angles are equal one to one.

So:

[tex]m\angle P= m\angle S\\m\angle Q= m\angle T\\m\angle R= m\angle U[/tex]

Also, the problem provided this data:

[tex]m\angle T= 6(m\angle P)[/tex]

As you may know, the sum of the interior angles of a triangle is equal to 180, so:

[tex]m\angle S+m\angle T + m\angle U=180\\\\Where:\\\\m\angle T=6(m\angle P)\\\\So:\\\\m\angle S+6(m\angle P) + m\angle U=180[/tex]

and:

[tex]m\angle P=m\angle S\\\\Hence\\\\m\angle S+6(m\angle S) + m\angle U=180\\\\7(m\angle S) + m\angle U=180\\\\7(m\angle S) + 96=180[/tex]

Solving for [tex]m\angle S[/tex]

[tex]m\angle S =\frac{180-96}{7} =12^{\circ}[/tex]

Since:

[tex]m\angle P= m\angle S=12^{\circ}[/tex]

Therefore [tex]m\angle P=12^{\circ}[/tex]

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