The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.

Answers

Answer 1

Answer: [tex]-6,13[/tex]

Step-by-step explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]


Related Questions

Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)

Answers

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

Help is needed please..

Answers

Answr 2.(1.3)^x

Step-by-step explanation:

i’m probably wrong but i think it’s the 4th anwser

What is the slope of the line that passes through the points (-4,-4) and (-4,9)? Write answer in simplest form and explain how you got it.
(Answer as soon as you can please)

Answers

there is no slope, it’s undefined. you get this by doing 9-(-4)/-4-(-4). this comes out to 13/0, and anything over zero is undefined. hope this helped

Answer pleaseeeeee!!!

Answers

Answer:

The answer is option C

What congruent postulate is needed for these triangles

Answers

Answer:

i hope this helps you

Step-by-step explanation:

answer is c

Answer is c) AAS means Angle Angle Side.

Hope it helps!

please help with this problem !!

Answers

Answer:

a. x= 9

b. 70

c. 110

d. 70

e. 110

Step-by-step explanation:

a.

congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent

2(12x+2)+2(7x+7)=360

divide both sides by 2

12x+2+7x+7=180

combine like terms

2+7=9

12x+7x=19x

19x+9=180

subtract both sides by 9

19x=171

divide both sides by 19

x=9

7x+7,

7*9+7

63+7 = 70

1 is 70, 3 is 70

12x+2, x=9

108+2 = 110

2 and 4 is 110

Answer:

Step-by-step explanation:

Angles 1 and 2 are supplementary (their sum is 180 degrees)

7x + 7 + 12x + 2 = 180

19x= 171

x = 9

m 1 = 7 * 9 + 7 = 70 degrees

m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees

m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.

m 4 = angle 2 and angle 4 have the same measure: 110 degrees

find the measure of

Answers

Answer:

46°

Step-by-step explanation:

D = 90° - 44° = 46°

13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is

Answers

Answer:

Associative property of multiplication

Step-by-step explanation:

Associative property of multiplication is one of the properties used to solve mathematical questions

This is given by the formula

a × (b × c) = (a × b) × c

Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication

Hey guys, I need help with this question. Please show working out, thanks

Answers

Answer:

Step-by-step explanation:

In similar triangles corresponding triangles are in same ratio.

[tex]\frac{15}{5}=\frac{12}{y}[/tex]

Cross multiply,

15 * y = 12 * 5

     y = [tex]\frac{12*5}{15}[/tex]

      y = 4

Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2

Answers

Answer:

x=2

Step-by-step explanation:

REAL ASNWER ON THIS PLEASE

Answers

Answer:

240 degrees

Step-by-step explanation:

360 - 120 = 240

Answer:

240° i think

what is the correct answer​

Answers

Answer:

below

sin30 = x/8

x = 8 *sin30

x = 4

option A is Correct

A is the correct answer

line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B

Answers

Step-by-step explanation:

line a is perpendicular to B.

if the slope of line A is -3/4 what is the line of B

Canada has a population of about 32 million. The population of the United States is 10 times larger. How many people live in the United States? Explain the number of zeros in your answer.

Answers

Answer:

People live in the U.S. = 320000000

Step-by-step explanation:

Below is the calculation of a number of people who live in the United States.

Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.

Canada population = 32 million or 32000000

Thus the U.S. population = 32000000 x 10 = 320000000

State one obtuse angle and one acute angle

Answers

Answer:

obtuse angle is 2 and acute angle is 1

Step-by-step explanation:

Obtuse Angle: An angle between 90 and 180 so angle 2 is an obtuse angle

Acute Angle: An angle between 0 and 90 so angle 1 is an acute angle

Need help quick it's urgent!

Answers

I think It’s 213.2.

can someone please explain how to complete this thanks

Answers

For the first question:
-Put a dot (not shaded) on -6 on the number line.
-Draw a arrow from the -6 dot to the left of the number line.

Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.

Answers

Answer:

Exponential

Step-by-step explanation:

Linear is easy to remember because it goes in a straight LINE.

Only other option is a quadratic and this does not create a parabola

Please help thank you!

Answers

Answer:

10

Step-by-step explanation:

What do these terms represent? -8,-4, 0, 4, 8, 12

Answers

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

an arithmetic series

Help me ASAP please

Answers

Answer:

f(x) = x³ - 3

Step-by-step explanation:

Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < o then a shift down o c units

Here a shift down of 3 units, hence c = - 3, thus

f(x) = x³ - 3

A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.​

Answers

Answer:

Rs 12,500

Step-by-step explanation:

the price before VAT = 100/10 × Rs 5000 =

Rs 50,000

the price before discount = 50,000 / 80%

= 50,000/0.8 = 62,500

so the discount amount = 62,500-50,000

= Rs 12,500

just need number 5 !

Answers

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

Yani buys 4 dozen flyers for $7.80. What is the unit rate?

Answers

Answer:

The unit rate is, $1.95

Step-by-step explanation:

7.80 ÷ 4= 1.95

So , unit  rate is  [tex]\frac{1}{1.95\\}[/tex]

En un triangulo rectangulo,la hipotenusa mide 10 cm y un cateto mide 8 ¿Cual es el valor del otro cateto ?

Answers

Respuesta:

6 cm

Explicación paso a paso:

Paso 1: Información provista

Longitud de la hipotenusa (h): 10 cm

Longitud del cateto 1 (c₁): 8 cm

Paso 2: Calcular la longitud del cateto 2 (c₂)

Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.

h² = c₁² + c₂²

c₂² = h² - c₁²

c₂ = √(h² - c₁²)

c₂ = √((10 cm)² - (8 cm)²) = 6 cm

We are collecting bananas. Alf has 4 times as many as Jim, and Jim has three times as many as Sid. Altogether they have 192. How many does Sid exactly have?

Answers

Answer:

12 bananas

Step-by-step explanation:

We are collecting bananas.

Lets represent, the number of bananas collected by:

Alf = x

Jim = y

Sid = z

Jim has three times as many as Sid.

y = 3z

Alf has 4 times as many as Jim

x = 4y

x = 4 × 3z

x = 12z

Altogether they have 192.

x + y + z = 192..... Equation 1

We substitute

3z for y and 12z fox x in Equation 1

12z + 3z + z = 192

16z = 192

z = 192/16

z = 12

Therefore, since, the number of bananas Sid collected = z

Hence, Sid has 12 bananas exactly

Elsa uses exactly 60 cubes of ice to build a rectangular ice prism. Each cube has side lengths of 1 unit. Enter the dimensions of the rectangular ice prism below assuming that none of the sides can have a length of 10 units. Your answer should be typed like this with the numbers going from smallest to largest: 1, 2, 3 *

Answers

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

[tex]2\cdot 5\cdot 6=60[/tex]

Which term is a perfect square of the root 3x^4

Answers

9x^8

lmk if this helped :)

7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)

Answers

{4,5,6,8} is the correct answer.

This is because the domain is all of the possible x values in a set. The range is all of the possible y values. So for the first point (4,1) has an x value of 4, and a y value of 1. The second point (5,2) has an x value of 5, and a y value of 2. And so on.

Which relationship has a zero slope?

Answers

I think it would be the second graph, Let me know if i’m right!

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

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