"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"

If J represents John's age, then which of the following equations could be used to solve the problem?

J + 15 = 3J - 1
3(J + 15) = J - 1
J + 15 = 3(J - 1)

Answers

Answer 1

J + 15 = 3(J - 1)

This is the answer.


Related Questions

What is the surface area of the pyramid

Answers

Answer:

The surface area is 31.85 in.

Step-by-step explanation:

Thomas observed that his friend blinked an average of three times every 15 seconds.
How many times should his friend blink in 65 second?

Answers

Answer:

13 blinks

Step-by-step explanation:

Step one:

given

number of blinks= 3

time taken to blink=15 seconds

the rate of blink is given as

rate= number of blinks/time taken

rate= 3/15

rate= 1/5 blinks per second, 0.2 blinks per second

Step two:

hence for a 65 second period, the number of blinks is

rate=number of blink/time

0.2=number of blink/9=65

cross multiply we have

number of blink=0.2*65

number of blink=13 blinks

2x+3y = 17
2y + z = 1
5x +10z = 25

Find x

Answers

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

5x +9–3(x-1)=(3x –13)+(4x -30)
Help please

Answers

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

Distribute 3:                              5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms:                 2x + 12 = 7x - 43Subtract 2x on both sides:      12 = 5x - 43Add 43 on both sides:             55 = 5xDivide 5 on both sides:            11 = xRewrite:                                     x = 11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply:                               55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract:                              55 + 9 - 3(10) = 20 + 14Multiply:                               55 + 9 - 30 = 20 + 14Add:                                     64 - 30 = 34Subtract:                              34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

Answer:

x=11

Step-by-step explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!

Renee used the values in the table to calculate simple interest.

Principal $750
Interest rate ?
Time 11 years
Interest $412.50

Which interest rate is missing from Renee’s table?

0.05%

0.5%

5%

50%

Answers

Answer:

5% hope its correct

Step-by-step explanation:

The rate of Interest is 55.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

Principal= $750

Time = 11 years

Interest= $412.50

Using Simple Interest

SI= (PRT)/100

412.5 = (750 x R x 11) 100

41250 = 8250R

R= 5%

Hence, the rate of Interest is 55.

Learn more about Simple Interest here:

https://brainly.com/question/22621039

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The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

This equation has one solution.
3(x-2) + 4x = 10(x + 1)
What is the solution?
O-5
O-2
-16
3
-16
7
Intro

Answers

This is what I got hope it helps

Anyone ever heard of Delta math?

Answers

Are you referring to a program? Then:

Delta Math is an RTL program that provides online readiness screening and standard based reporting, paper based progress monitoring and tiered instructional support for Kindergarten through Algebra 1. Algebra 2 readiness screeners and online practice are also now available!

Hope this helps and if you could mark me as brainliest. Thanks!

simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Answers

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

please help i will give brainliest

Answers

Answer:

n<-0.6

Step-by-step explanation:

7.2>0.9(n+8.6)

8>n+8.6

-0.6>n

n<-0.6

So there would be an open circle at the point -0.6 (because the "less than" sign shows that -0.6 is not included), and then an arrow pointing left to show solutions that are less than -0.6

I will assume you know what buttons to press.

Answer:

Step-by-step explanation:

7.2>0.9(n+8.6)

n< -0.6

(-∞,-0.6)

open circle on -0.6 and go to the left

7. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g

Answers

Answer:

Option B

Step-by-step explanation:

Subscribe to RANDOM TOPICS TRENDING on youtub. Thank you.

Find the slope of the line that contains (1, 6) and (10.-9).

Answers

Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative


1. The sum of a number and ten.

Answers

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum

this means that you are adding something, so you're going to use the
+
sign;

of a number

this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10

this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

Find two integers whose sum is 19 and product is 90​

Answers

Answer:

Step-by-step explanation:

The two integers are 10 and 9

10 + 9 = 19

10 x 9 = 90

The two numbers are 9 and 10.

What are integers?

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero

Let the two integers be x and y.

Given that, the sum of the integers is 19, therefore,

x + y = 19

x = 19 - y

Given that, the product of the integer is 90:

xy = 90

(19-y)y = 90

19y - y² = 90

y² -19y + 90 =0

y² -10y - 9y + 90 = 0

y(y - 10) -9(y - 10) = 0

(y -9)(y - 10) = 0

y = 9 and y = 10

Hence, the two numbers are 9 and 10.

Learn more about integers:

https://brainly.com/question/15276410

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Hey again.. Please answer!!

Answers

Answer:

I can't see the question

its too small can you type it out?

Step-by-step explanation:

Answer:

32 cups and 24 cups

Step-by-step explanation:

4x + 3x = 56

7x = 56

x = 8

4(8) = 32 cups of pretzels

3(8) = 24 cups of candy corn

Point E is the midpoint of ab and point F is the midpoint of cd

Answers

I hope it is helpful for you ....

Plz plz plz I need 546463+54543 times 64 it’s due in 4 min

Answers

Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.

x – 3.5 = 14.9, x = ?

Answers

Answer:

x = 18.4

Step-by-step explanation:

x - 3.5 = 14.9

Add 3.5 to both sides.

x = 14.9 + 3.5

x = 18.4

Answer:

x = 18.4

Step-by-step explanation:

x - 3.5 = 14.9

   + 3.5    +3.5

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

x = 18.4

solve an equation x/17= -4

Answers

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

have u ever seen 2 pretty besfrens??

Answers

Nope I have not!!!!!!!!!!!!!!!

yea once

they ain't friends no more

bc I stole one

and now there ain't 2 pretty best frens no more

TRUE OR FALSE? PLS HELP ME! ILL GIVE BRAINLIEST!!

Answers

Answer:

True!

From: Mr. Otero

Tony hit 9 out of 15 pitches at baseball practice yesterday. The following day at practice 45 pitches were made. How many pitches did Tony miss?

Answers

Answer:

18 pitches.

Step-by-step explanation:

I'm assuming the "9 out of 15" is the fraction of pitches Tony hit at baseball practice.

Hence, Tony missed 6 out of 15 pitches.

6/15 * 45

= 6 * 3

= 18 pitches.

Hope this helped!

Answer:

18

Step-by-step explanation:

You have to start with how many he hit.

Let the number of pitches he hit = x

9/15 = x / 45            Cross multiply

15x = 9 * 45             Combine the right side

15x = 405                Divide by 15

x = 405/15

x = 27

===================

The number he missed is 45 - 27 = 18

Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)

Answers

Answer:

y=1/4x

Step-by-step explanation: in image below

I think y=1/4x I’m not that good at this kind of thing

a 8th grade math question, was ignored 3 times already. please answer!

Answers

Answer:

1 and 2

Step-by-step explanation:

Help me please I will give you the brainliest please ;( :[​

Answers

Answer:

I'm not great with domain and range but for the 4th question the answer is b. and for the 5th part 1 the answer is a. and for part 2 the answer is d. i believe

⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️

THIS IS MY LAST ONE HELP

Answers

Answer:

15

Step-by-step explanation:

15 is half of 30, the output values are the input values divided by 2 :)

does the graph represent a function? yes or no lol pls help

Answers

yes
it represents the function y= ((-1/2)•x )+ 4
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