Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?

Answers

Answer 1

Answer:

10

Step-by-step explanation:

This is because 10×4=40

10+5=15

40+5=45

45/15=3

Answer 2

Answer:

Step-by-step explanation:

Let E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  ["Eli is now one quarter of his father’s age"]

But in 5 years, that will be:

(E+5) = (1/3)(F+5)       ["In 5 years’ time his age will be one third of

his father’s age"]

-------------

We have two equations and two unknowns.  Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

====

In five years:  F is 45 and E is 15, which would make Eli  1/3 of his father's age in 5 years.


Related Questions

Tell whether the ordered pair is a solution to the equation.
x=9;(9,6)

Answers

Answer:

  yes, it is

Step-by-step explanation:

The value of x in the ordered pair (x, y) = (9, 6) is 9. That satisfies the equation ...

  x = 9

Substituting 9 for x, we get a true statement:

  9 = 9

Answer:

Step-by-step explanation:

If 21 and 35 are two members of a Pythagorean triple, what is the third member?.

Answers

The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.

Given :

21 and 35 are two members of a Pythagorean triple.

The following steps can be used in order to determine the third member of the Pythagorean triple:

Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.

[tex]H^2 = P^2+B^2[/tex]

where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.

Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.

[tex]35^2 = 21^2+B^2[/tex]

Step 3 - Simplify the above expression.

[tex]B^2= 784[/tex]

[tex]B = 28[/tex]

So, the third member of the Pythagorean triple is 28.

For more information, refer to the link given below:

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What is the contrapositive of the statement below?
If you are in Reykjavik, then you are in Iceland.

Answers

Answer:

If you are not in Iceland, then you are not in Reykjavik.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The contrapositive of a statement is as follows:

"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

So, for this one, we need to switch as well!

If you are in Reykjavik, then you are in Iceland.

If you are NOT in Iceland, then you are not in Reykjavik.

The answer would be D

Simplify the expression
x - (12 – 5x)

Answers

Answer:

6x - 12

Step-by-step explanation:

Simplify the expression

x - (12 – 5x) =

x - 12 + 5x =

6x - 12

can i get some help:

Answers

I believe your answer is B

pls help I don't understand ​

Answers

Answer:

1400

Step-by-step explanation:

two ways to do this

1, find the area of the shaded place.

2, find the area of the whole thing, subtract by the area of the corners.

          this way is easier so its what ill do

whole box is 60*30=1800

3 corners are 10*10=100    15*10=150    and   15*10=150

1800-150-150-100 = 1400

or you could do it the first way

bigger box is 20*45=900

long box is 10*35=350

small box is 15*10=150

900+350+150=1400

PLS HELP.

7) Find RQ

Answers

Answer:

are we doing ur homework

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

Bala Bala Bala Bala Bala

Step-by-step explanation:

what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah

(5j - 2q + 2/5) - (4 - 3j - 1/2q)

Answers

Answer:

8j - [tex]\frac{3q}{2}[/tex] - [tex]\frac{18}{5}[/tex]

Step-by-step explanation:

hope this helps! :D

M Y

(4x - 1)
(2x +5)
Р
W
M

Answers

Step-by-step explanation:

(4x-1) × (2x+5)

3x × 7x

21x

The answer is = 21x

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

C:   H > 60

Step-by-step explanation:

H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.

What does geometric progression mean?

Answers

Step-by-step explanation:

[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

Find (f/g)(5) for the functions
f(x) and g(x) given below.
f(x) = x2 +1 and g(x) = x - 4
=
=
(f/g)(5) = [?]
=

Answers

Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

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#SPJ2

Easy geometry question please help

Answers

Answer:

Y-8

Step-by-step explanation:

Any point on the upper triangle ABC, for example point B, is translated 8 units down the y axis, appearing on the lower triangle A'B'C'

Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.

Answers

The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

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K
The solution is k
K/6+5=17
The solution is k=

Answers

k=72

Explanation:

72/6=12

12+5=17

Answer:

  k = 72

Step-by-step explanation:

This is a 2-step linear equation. It is solved in the usual way.

Step 1: add the opposite of the constant that is on the side with the variable

  k/6 +5 -5 = 17 -5

  k/6 = 12

Step 2: multiply by the reciprocal of the coefficient of the variable.

  (k/6)(6) = (12)(6)

  k = 72

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30 percent of them are in the 10th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?.

Answers

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

[tex]0.55x[/tex].

The total number of members not wearing glasses, will be

[tex]x - 0.55 x = 0.45 x[/tex].

Now, the no. of members not wearing glasses and in 10th grade will be,

[tex]\frac{0.45x\times30}{100} =0.135x[/tex]

We know that the probability of an event E, P(E) will be,

[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]

So, the probability for no. of members not wearing glasses and in 10th grade will be,

[tex]P(E)=\dfrac{0.135x}{x}[/tex]

[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

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Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:please correct me if I’m wrong but I believe Part A for the slopes are…

1.3/1 or 3

2.-3

3.9/5

4.4/3

Step-by-step explanation:

It’s going up 3 and “running” 1 and it’s positive since the line is going up.

Y2-y1. -16-2

————= ————=-18/6=-3

X2-x1. 8-2

You’re just finding the slope

Solve for it. If further explanation is needed please tell me.

A.

1. 9/5

2. -1/5

3. ? (no question)

4. 4 or 4/1

B.

5. y = 1x + 4

6. -2x + 3

7. -1/5x + 2

8. -4x + 2

I'm not sure about 5-8 the wording of the questions are confusing.

please help me :(
NO LINKS PLEASE

Answers

Answer:

Option A

Step-by-step explanation:

Given equation is:

[tex]x^2+1=2x-3[/tex]

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

X-2y=2 in slope intercept form

Answers

Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

Plz help me thx
Simplify:

Answers

Answer:

4

Step-by-step explanation:

note that [tex]\sqrt{x^2}[/tex] = x , then

[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]

= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms

= 4

a coin is tossed 4 times. what is the probability of getting heads each time

Answers

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Simplify the complex number.
(8i) (5) (-4-6i)

Answers

Answer:

4th option

Step-by-step explanation:

noting that i² = - 1

(8i)(5i)(- 4 - 6i)

= 40i²(- 4 - 6i)

= 40(- 1)(- 4 - 6i)

= - 40(- 4 - 6i) ← distribute parenthesis by - 40

= 160 + 240i

[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]

Line q has a slope of 5 8 . Line r is perpendicular to q. What is the slope of line r ?

Answers

Answer:

35

Step-by-step explanation:

fFjfdisgsiditsykdkhxkgdkdjfzmuraltupsfstdyf and I have been thinking of going to for airport cinema a gia couple trip in September so I can do it at night when I'm back for a couple weeks for a couple more weeks to see what I have a pet for kids ages and I get a lot more of them and a gia tha and I get a lot more than I have to do for the rest I think so much better more I the and I get have on to pank I'm getting more points

The difference between three times a number and seven is twenty. What is the number?
20
7
13
3
O9
O 27

Answers

Answer:

the number is 9

Step-by-step explanation:

hope this helps

Can someone help me on this plzzz show work please

Answers

Answer:

That is the answer

The answer is

How was
Figure A transformed
to become Figure A"?
A"
}
1.[
?
]
2.[
1
Dilate
Reflect

Answers

Answer:

reflect

Step-by-step explanation:

dilate means bigger or smaller than the original.

Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.

Answers

The equation that can be used to determine the sales price of the bracelets is $22.5

Amount in her account = $150

Amount in her account after sales = $235

Change in account balance = $235 - $150

= $85

cost of necklace = $22.5

let

bracelet = x

necklace = y

The equation:

Total sales = 5x + y

85 = 5x + 22.5

85 - 22.5 = 5x

62.5 = 5x

x = 62.5/5

x = $12.5

Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5

Learn more about equation:

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A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?
A. 5 7/8 cups
B. 6 1/2 cups
C. 5 3/4 cups
D. 6 7/8 cups

Answers

Answer: D hope this helps

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

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