jack is thinking of two whole numbers
the sum of the number is 13
the difference between the numbers is 1
what is the product of the numbers

Answers

Answer 1

Answer:

Their product is 42

Step-by-step explanation:

Let the numbers be A and B

Such that:

[tex]A + B = 13[/tex]

[tex]A - B = 1[/tex]

Required

Determine A * B

Add both equations together:

[tex]A + A + B - B = 13 + 1[/tex]

[tex]2A = 14[/tex]

Solve for A

[tex]A = 7[/tex]

Substitute 7 for A in the second equation

[tex]7 - B = 1[/tex]

Make B the subject

[tex]B = 7 - 1[/tex]

[tex]B = 6[/tex]

Hence,

A = 7 and B = 6

So:

[tex]A * B = 7 * 6[/tex]

[tex]A * B = 42[/tex]

Answer 2

The product of the two numbers will be 42.

Let the two numbers be A and B

A + B = 13

A - B = 1

A = 1 + B.

Therefore, since A + B = 13, then (1 + B) + B = 13

1 + 2B = 13

2B = 13 - 1

2B = 12

B = 6

A = 6 + 1 = 7

Since the numbers are 6 and 7, then multiplying them is 42.

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Related Questions

Write an equation that passes through a pair of points


a. y= x+3

b. y= x-3

c. y= -x+2

d.y= -x-2

Answers

Answer:

C. [tex] y = -x + 2 [/tex]

Step-by-step explanation:

First, find the slope, m, of the line that passes through the two given points.

Slope = [tex] \frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1 [/tex]

Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in [tex] y = mx + b [/tex].

✅The equation would be:

[tex] y = -1x + 2 [/tex]

[tex] y = -x + 2 [/tex]

You have decided to pursue a career in nursing. You are willing to relocate based on salary differences. The states you are willing to relocate to have the following average hourly wages: NY = $33.55, MA = $33.37, CA = $31.54, and FL $24.57. What is the mean salary for these options?

Answers

Answer:

$30.76

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Salvatore purchased several magazines for $2 each and books for $3 each. If he spent $160 on a total of 60 books and magazines altogether, what would be the number magazines that Salvatore purchased?

Answers

Answer:

30

Step-by-step explanation:

If the magazines and books together add up to a total of 60 books, then he bought 30 magazines and 30 books.

A company buys a machine for $275,000 that depreciates at a rate of 10% per year. Find a formula for the value of the machine after n years. What is its value after 5 years?

Answers

Answer:

The formula is;

V = 275,000(0.9)^n

The value of the machine after 5 years is $162,384.75

Step-by-step explanation:

Here, we want to find the formula for the value of the machine after n years

Mathematically, we can use an exponential model for this

V = I ( 1 - r)^n

Where v is the value after n years

I is the value at which the machine was bought

r is the depreciation percentage ; 10% = 10/100 = 0.1

n is the number of years

Thus;

V = 275,000(1 - 0.1)^n

V = 275,000(0.9)^n

The value of the machine after 5 years will be;

V = 275,000(0.9)^5

V = 162,384.75

2
Solve the following: +3=19
y= 2

Answers

Answer: 128

Step-by-step explanation:

Please help me answer this questions

Answers

Answer:

1= 6

2= 1

3= 2

4= -0.6

5= 0>2

Step-by-step explanation:

i think i am correct. the value is 0 so don't be confuse in last one

86 rounded to the nearest whole number

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Please help me thank you I’ll mark Brainly

Answers

Answer:

C should be your answer if I'm not right then forgive me please.

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

How many 12s are in 2? 4

Answers

Answer: 2 times 6 is 12 4 times 3 is 12 so its 6

Answer:

l would think 6

Step-by-step explanation:

Because 12%2 is 6

Which of the following is nat a property of parallelogram

Answers

Answer:

The four angles add up to 180° is not a property of parallelogram

[tex]\frac{3}{9}[/tex] + (-[tex]\frac{6}{9\\})[/tex] explain pls

Answers

Answer:-3/9

Step-by-step explanation:

When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9

I need help with this plz bro. Plz

Answers

Answer:

I only got B

Step-by-step explanation:

Put the x-values into the equation and solve for each.

Last month, Mr. Littleton sold 70, 400 eggs. This month, he sold 5, 934 fewer eggs than last month. a. On paper, draw a tape diagram to represent the number of eggs sold in the two months combined. b. Use rounding to estimate the number of eggs sold in the two months combined. Enter your estimate below. c. Use the standard algorithm to find the exact number of eggs sold in the two months combined. Enter your answer below. About eggs were sold in the two months combined. Exactly eggs were sold in the two months combined.​

Answers

Hi I’m just a little bit ago and I’m going to be a little bit

If f(x)=-4x+6 fins f(-3)+8

Answers

Answer:

f(x) = 26

Step-by-step explanation:

Evaluate the Function

f (x) = −4x + 6  f (−3) + 8

Replace the variable x with −3 in the expression.

f (−3) = −4 ⋅ −3 + 6

Simplify (−4 ⋅ −3 + 6) + 8

Multiply −4 by −3.

12 + 6 + 8

Add 12 and 6.

18 + 8

Add 18 and 8.

26

hope this helps :)

Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
the town. The movie will cost the family $36, and parking costs $4 per hour.
How long will the family be able to spend in Millersville if they want to spend less than $60 and
they don't have any other expenses?
Follow the steps to answer this question.
1. Write an inequality that shows that Tyra's family spends less than their limit. Explain how you
wrote the inequality, and define any variables used.
2. Solve your inequality. Show your work. What does your solution mean?

Answers

Answer: 36+4h=60

36+4h-36=60-36

4h=24

4h÷4=24÷4

h=6

So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).

Step-by-step explanation:

can I have help I would deeply appreciate it

Answers

Answer:

its blurry add my sn$p kevinscoolrevi7 and I got u

What is the exact product of 1.5 3.24

Answers

1.5 times 3.24 is
4.86

Answer:

00000

Step-by-step explanation:

poop

Please help anything is appreciated

Answers

Answer:

q = -2

Step-by-step explanation:

Constant = whole number

If the two lines are parallel the slopes would be equal.

So if the first line is y = -2x + 5/3

The the second line would become y = -2x + 6.

If q becomes -2, it will be a constant and the two lines will also be parallel

On a map, 3/4 inch represents 14 miles. If two cities are 42 miles apart, how far apart are they on the map?

Answers

Answer:

9/4 inches

Step-by-step explanation:

42 is 3x more than 14. therefore, what is 3x more than 3/4 is 9/4

Answer:

9/4

Step-by-step explanation:

14 times 3 = 42

3/4 times 3 = 2.25

2.25 in fraction form is 9/4

A random sample of 16 ATM transactions at the Last National Bank of Flat Rock revealed a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is plus/minus (to three decimal places):

Answers

Answer:

The  width is  [tex]W = 1.2786[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  n = 16    

      The mean time is  [tex]\= x = 2.8 \ minute[/tex]    

     The standard deviation is  [tex]s = 1.2 \ minutes[/tex]

Generally the degree of freedom is mathematically represented as  

         [tex]df = n - 1[/tex]

=>      [tex]df = 16 - 1[/tex]

=>     [tex]df = 15[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  df = 15 is  

   [tex]t_{\frac{\alpha }{2} , 15 } =  2.131[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 15 } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.131  *  \frac{ 1.2 }{\sqrt{16} }[/tex]

=>    [tex]E = 0.6393 [/tex]

Generally the width the confidence 95% confidence interval  

       [tex]W = 2 * E[/tex]

=>    [tex]W = 2 * 0.6393[/tex]

=>    [tex]W = 1.2786[/tex]

     

Evaluate cot 45 degree

Answers

Answer:

21

Step-by-step explanation:

The answer is ..........21

A square-shaped warehouse has a floor area of 12,769 square feet. The length of one of the walls is ___ feet.

Select one:
a. 100
b. 23.37
c. 127.69
d. 113
e. none of these

Answers

Answer:

113 (d)

Step-by-step explanation:

Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer  is D.

What is the proportion

Answers


m = 16
8 6


Cross multiply:
m * 6 = 8 * 16

Simplifying
m * 6 = 8 * 16

Reorder the terms for easier multiplication:
6m = 8 * 16

Multiply 8 * 16
6m = 128

Solving
6m = 128

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Divide each side by '6'.
m = 21.33333333

Simplifying
m = 21.33333333

what is the square root of 20

Answers

Answer:

It is 4.472135955, which simplifies to 4.47

Step-by-step explanation:

Step-by-step explanation: The square root of 20 is not a perfect square.

In other words, it's impossible to find a whole number

times itself that gives us a product of 20.

However, we can simplify it.

20 breaks down into 2 x 10 and 10 breaks down into 2 x 5.

Since the 2's pair up as factors of 20, a 2 comes out of the radical.

Since the 5 doesn't pair up, it stays inside.

So our answer is 2√5.

Help me. Im actually so serious ​

Answers

Answer:

Answer in explanation

Step-by-step explanation:

Linear Modeling

It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned

Create a model in standard form

Let

x = number of lawns mowed

y = number of pools cleaned

He wants to make $750, thus:

25x + 15 y = 750

Dividing by 5, we have the model that represents the linear relationship:

5x  + 3y = 150

Identify the x-intercept

The x-intercept can be found by setting y=0:

5x  + 3(0) = 150

5x = 150

Dividing by 5:

x = 150/5 = 30

x = 30

This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.

Identify the y-intercept

The y-intercept can be found by setting x =0:

5(0)  + 3y = 150

3y = 150

y = 150/3 = 50

y = 50

This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.

Identify two combinations that are solutions to the equation

Starting from the basic equation

5x  + 3y = 150

We can give x some arbitrary value (less than 30) and find the value for y.

For example, for x=12

5*12 + 3y = 150

60 + 3y = 150

3y = 150 - 60 = 90

y = 90/3=30

This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.

For example, for x=21

5*21 + 3y = 150

105 + 3y = 150

3y = 150 - 105 = 45

y = 45/3=15

This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.

Find the value of X and Y

Answers

Answer:

x = 19 , y = 54

Step-by-step explanation:

3x+5 and 6x-14 are linear pair angles, they add up to 180[tex](3x+5)+(6x-14)=180\\3x+6x+5-14=180\\9x-9=180\\9x=171\\x=19[/tex] So angle 3x + 5 = 3 (19) + 5 = 62 degreesangle 62 and angle y+8 are corresponding angles, so they are equal[tex]y+8=62\\y=54[/tex]

1 1/8 = g - 4 2/5, what does g equal?

Answers

Answer:

Step-by-step explanation:

It might help to use decimals

1 1/8 = 1.125

4 2/5 = 4.4

Add these together

1.125 + 4.4 = 5.525 That's the correct answer, but likely not in the form you wanted.

1 1/8 = 9/8

4 2/5 = 22/5

9/8 + 22/5

multiply through by the Lowest Common Denominator

9*5/40 + 22*8/40 =

45/40 + 176/40

221/40

5.525

5 21/40

You get the fraction by multiplying 40 * 0.525 which is 21

So you can express 0.525 as 21 / 40

Janelle rounded the number 87,240 to 87,000. What nearest place value was the number rounded to?

Answers

The thousand placement

Hi guys im here for another question
Can you give me the answers?

Answers

Hi i'm here to help the answer is 78 please mark me brainliest

On Monday, a restaurant served 54 diet sodas. This was 75% of the total number of sodas served that day. How many sodas did the restaurant serve on Monday?​

Answers

I would help you my guy but I do not understand math I’m sorry
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