"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)

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.

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:

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Answer:

y=1/4x

Step-by-step explanation: in image below

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

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

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

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

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

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!

Answer:

True!

From: Mr. Otero

Answer:

The surface area is 31.85 in.

Step-by-step explanation:

Answer:

1 and 2

Step-by-step explanation:

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 :)

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

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

Step 2: Solve for x

Step 3: Check

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

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!!

yea once

they ain't friends no more

bc I stole one

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

Answer:

15

Step-by-step explanation:

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

Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

Answer:

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

Are you referring to a program? Then:

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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

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.  

Answer:

5% hope its correct

Step-by-step explanation:

The rate of Interest is 55.

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:

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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.

Answer:

Option B

Step-by-step explanation:

Subscribe to RANDOM TOPICS TRENDING on youtub. Thank you.

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

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

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

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