the sum of two numbers is 16. their difference is 1. what is the product of the two numbers

Answers

Answer 1

Answer:

The product of the numbers is 63.75

Step-by-step explanation:

Let the numbers be x and y

x + y = 16

x -y = 1

Adding both together

2x = 17

x = 17/2

x = 8.5

Recall

x -y = 1

8.5 - y = 1

y = 8.5 - 1 = 7.5

Their product is xy

so we have 7.5 * 8.5 = 63.75


Related Questions

11) Is the following biconditional true? Explain. Two people are brother and sister if-and-only-if they are siblings.​

Answers

Answer:

Well, not exactly.

Step-by-step explanation: You see, there's this thing called half siblings. They aren't exactly quite any different to normal siblings, except the fact that they either have the same mother and different father, or the same father and different mother. This usually results after a mother and a father divorce, or their respected love one dies, and they have children. The mother/father then can remarry, and when their wife/husband also has a child. The two or more children become half siblings. Also, if we're gonna talk not literal siblings. Close friends often like to think of each other as siblings, though they aren't biologically siblings. Half siblings and step sisters are two different things, half is where your sibling shares half your genes, and step siblings are where they don't have any of your genes and only their respected parent's genes. Now depending on if they mean biologically siblings, I would say true. But if they count all, then it would be false.

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

four ninths plus nine eighteenths :]

Answers

Answer:  17/18

In words, this is seventeen eighteenths

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

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

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

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

Answer: its 17/18

Step-by-step explanation:

hope it help's ヾ(•ω•`)o

Pythagorean theorem: Manuel purchases a rectangular picture
frame that has a diagonal measure of
17 inches and a height of 8 Inches. What is
the width of the picture frame?

Answers

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

If you understand similar figures you will get this because I don't

Answers

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

i'll mark you as brainliest​

Answers

Answer:

y = x - 2

Step-by-step explanation:

.

In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?

Answers

Answer:

420

Step-by-step explanation:

If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.

Answer:

Step-by-step explanation:

The answer is 420

What steps are used to solve this equation?


6f = 48


Complete each statement.


First, _____

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

.

Check the solution by substituting

for f and simplifying.

Answers

Answer:

What steps are used to solve this equation?

6f = 48

Complete each statement.

First,

✔ divide by 6

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

✔ f = 8

.

Check the solution by substituting

✔ 8

for f and simplifying.

Step-by-step explanation:

The solution of the given equation would be 8.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.

We are given the equation as;

6f = 48

We have to Complete each statement.

First, divide by 6 into both sides of the equation.

f = 48/6

Next, simplify the equation to determine that the solution of the equation is

f = 8

Check the solution by substituting for f and simplifying.

6  x8 = 48

Learn more about equations here;

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What function graph has the greatest slope?
A. G(x)
B. F(x)
C. J(x)
D. H(x)

Answers

Answer:

Its either C or A

I qould defenetly go with A though..

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

i need help on this please​

Answers

-6 answer to -4+(-2)

3 answer to 7+(-4)

describe the slope of the line passing through points A(-2,3) and B(4,-3)

Answers

Answer:

0/2 is ZERO is positive

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

slope = -3 - 3 / 4 - (-2)

slope = -6/6

slope = -1

hope this helped :)

Please Help me. Thanks​

Answers

y = 3/2x + 3

I hope this helps!

PLEASE HELP MEH NOW!! I WILL MARK BRAINLIEST 1/8 divided by 5

Answers

Answer:

1/40 or .025

Step-by-step explanation:

Just flip the 5 then multiply instead of dividing.

[tex]\frac{1}{8}*\frac{1}{5}[/tex]

You turn 5 into 1/5 by flipping it.

When you multiply them you get.

[tex]\frac{1}{40}[/tex]

or

.025

Hope this helps! Have a blessed day!

How do I get the fractional form for cos 4π/3?

Answers

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

cos

(

π

3

)

sin

π

sin

(

π

3

)

=

(

1

)

(

1

2

)

(

0

)

(

3

2

)

=

1

2

The answer is -1/2 !!!


Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4

Answers

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Step-by-step explanation:

The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.

To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:

y - (-3) = 4(x - 2)

Now, simplify:

y + 3 = 4x - 8

Next, bring all the terms to the left side of the equation to get the standard form:

4x - y = 8 - 3

Finally, simplify the constant term:

4x - y = 5.

To know more about standard form:

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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!

Select the missing property.
(9+3)v

Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property

Answers

Answer:

Associative property of addition

Step-by-step explanation:

yes

TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.

Answers

Answer:

4

Step-by-step explanation:

4444

i need the answer asap i’ll make you the brainliest

Answers

Answer

the second one

Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad

Answers

I believe you answer would be $4 + $0.85t =$9.95

Answer:

7

Step-by-step explanation:

c = $0.85t+$4

$9.95 = $0.85t+$4

$9.95-$4 = $0.85t

$5.95 = $0.85t

$5.95/$0.85 = t

7 = t

Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees. Write an integer to represent the change in temperature.

Answers

Answer:

c + 6 degrees= x

Step-by-step explanation:

Please help me! Im making the first correct answer brainliest!

Answers

Answer:

The answer is most likely c.)

Step-by-step explanation:

It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.

The answer is c it has to be

Does anyone know the answers this is Gina Wilson

Answers

Answer:yes

Step-by-step explanation:

After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
by the same amount each second. How much did Halley's height change each second?
18 cm
B
108 cm
-18 cm
D
-108 cm

Answers

Answer:

it would be -18

Step-by-step explanation:

because you would divide 108 by 6 and you will get -18 each second

Can somebody plz answer this question quick and correctly!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Please help

Show work if you can

Thank you!

Answers

Answer:

y= -1/2 + 2

Step-by-step explanation:

To find m or the slope you need to find 2 locations that the line intercepts a point on the graph. I used (0,2) and (2,1).

Then you find the difference of the x and y coordinates. (x,y)

X-coordinates: 0 and 2.    0 - 2 = -2

Y-coordinates: 2 and 1.      2 - 1 = 1

A slope fraction is the difference of y over the difference of x coordinates. It would be written as 1/-2 or -1/2. m= -1/2

To find the b value, just look at the y-intercept or where the line intercepts the y-axis. Which is at (0,2). So b=2

In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?

Answers

There were 30% in 2012 to 2013

Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12

Answers

Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
Here you go!! Hope this helps!

what does 9a-2=12+2a​

Answers

Answer:

a=2

Step-by-step explanation:

Subtract 2a from both sides.

9a−2−2a=12

Combine 9a and −2a to get 7a.

7a−2=12

Add 2 to both sides.

7a=12+2

Add 12 and 2 to get 14.

7a=14

Divide both sides by 7.

a=[tex]\frac{14}{7}[/tex]

Divide 14 by 7 to get 2.

a=2

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