The sum of two numbers is 24. The difference of
those numbers is 8. Write a system of equations to
represent the scenario.

Answers

Answer 1

Answer:  

Call x and y the 2 numbers. x + y = 32 x - y = 8 2x = 40 -> x = 20, and y = 32 - 20 = 12.

Step-by-step explanation:


Related Questions

Which of the following statements is true?

A blue star is hotter than the sun.
Both stars and planets are capable of generating their own light.
A star with a magnitude of 0.2 is brighter than a star with a magnitude of -0.2.
The Big Dipper is the largest constellation in the winter sky.

Answers

Answer:

B

Step-by-step explanation:

Please solve all with explanation

Answers

Answer:

1. [tex]\frac{x^2}{y^8}[/tex]

2 a) [tex]\frac{-49}{2}[/tex]

b) 0

3. x = 10

Step-by-step explanation:

1.

[tex](\frac{x^{-3}y^4}{x^{-2}})^{-2}\\({x^{-3+2}y^4})^{-2}\\({x^{-1}y^4})^{-2}({x^{-1*-2}y^{4*-2})= \frac{x^2}{y^8}[/tex]

2. a)

[tex]2 [(\frac{-1}{4}) -12 (-1)^2] - 5[24 +2 (-12)]^2\\2[(\frac{-1}{4}) -12] - 5[24 -24]^2\\2 * [(\frac{-1}{4}) -12] -0\\\frac{-49}{2}[/tex]

b)

[tex]-a^2b^2 - 3a^3b^2\\-\frac{1}{9}*1 - 3 * \frac{-1}{27} *1\\-\frac{1}{9} + \frac{1}{9}\\0[/tex]

3.

[tex]\frac{3}{4}x + \frac{5}{6} = 5x -\frac{125}{3} \\\frac{5}{6} + \frac{125}{3} = 5x - \frac{3}{4}x\\\frac{5+250}{6} = \frac{20x -3x}{4}\\\frac{255}{6} = \frac{17x}{4}\\x = 10[/tex]

Find the values of x and y. State which theorems you used

Answers

Answer:

Step-by-step explanation:

5/6.

use that alternate exterior angles are congruent

3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x

use that lines form 180°

y+ 5x-64= 180

y= 180 +64 -5*32; y= 84

7/8.

use that alternating exterior angles are congruent

x=86

use that same side exterior angles are supplementary

x+y = 180; y= 180 -86; y= 94

9/10.

use that vertical angles are congruent

2y=59; y= 59/2; y= 29.5

use that alternate exterior angles are congruent

3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21

These are 230 calories in 4 ounce of a type of ice cream how many calories are in 6 ounces of that ice cream

Answers

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

I NEED AN ANSWER ASAP PLEASE!!!

Answers

Answer:

40%  properties  are Semi-detached

Step-by-step explanation:

Given,

Percentage of Bungalow = 10%

Percentage of Detached properties = 30%

Percentage of Apartments = 20%

∴Total percentage of properties deducting the  semi-detached properties

= (10 + 30 + 20) %

= 60%

∴ Percentage of semi detached properties = (100 - 60) %

                                                                        = 40%

So, 40% properties are Semi-detached.

ASAPPPPPPPPPPPPPP HELPPPPPPPPP

Answers

Answer:

1) supplementary

2) complementary

Step-by-step explanation:

1) FGH= 109 JKL=71

109+72=180

2) AED=45 BEC=45

45+45=90

What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box

Answers

6/12

- 1/12

= 5/12

6 - 3 = 3

= 3 5/12

The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
ve
-5
-5
g(x) =
O A. g(x) = (x+3)2 - 2
O B. g(x) = (x - \3)2 - 2
xx
O c. g(x) = (x + 3)2 + 2
O D. g(x) = (x – 3)2 + 2

Answers

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

How to get the equation for the blue graph?

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

If you want to learn more about translations, you can read:

https://brainly.com/question/11468584

20 POINTS!!!!!
which phrase best describes the expression : 3x + 4y + 1/2z
a. product of three variables
b. value of three coefficients
c. the quotient of three terms
d. the sum of three terms

Answers

Maybe c not to sure hope this helps

Pls I need help ASAP❤️

Answers

Answer: third option 60t + 24t

Step-by-step explanation:

Answer: 60[tex]x^{3}[/tex]-24[tex]x^{2}[/tex]

Step-by-step explanation:

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3). How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of △LMN. The area of △RST is equal to the area of △LMN. The area of △RST is 2 square units greater than the area of △LMN. The area of △RST is 4 square units greater than the area of △LMN.

Answers

Answer:

The answer should be "B" (The area of △RST is equal to the area of △LMN.)

The area of ΔRST is equal to the area of ΔLMN.

How to find the area of a triangle from its vertices ?

We know that, if the vertices of a triangle are [tex](x_{1},y_{1}), (x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex],

then the area of the triangle is [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

What is the result of comparing area of two given triangles ?

In ΔRST, Vertices are R=(5,5), S=(2,1), T=(1,3)

In ΔLMN, Vertices are L=(0,-1), M=(2,-4), N=(-2,-3)

Area of ΔRST =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                      =  [tex]\frac{1}{2}[/tex] | 5(1-3)+2(3-5)+1(5-1) |

                      =  [tex]\frac{1}{2}[/tex] | 5×(-2)+2×(-2)+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10-4+4 |

                      =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔRST =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Again, Area of ΔLMN =  [tex]\frac{1}{2}[/tex] | [tex]x_{1} (y_{2} -y_{3} )+x_{2} (y_{3} -y_{1} )+x_{3} (y_{1} -y_{2} )[/tex] |

                                   =  [tex]\frac{1}{2}[/tex] | 0(-4+3)+2(-3+1)-2(-1+4) |

                                   =  [tex]\frac{1}{2}[/tex] | 0+2(-2)-2(3) |

                                   =  [tex]\frac{1}{2}[/tex] | -4-6 |

                                   =  [tex]\frac{1}{2}[/tex] | -10 |

Removing the absolute sign, we get,

Area of ΔLMN =  [tex]\frac{1}{2}[/tex] ×10 = 5 square unit

Hence, we can say that, the area of ΔRST = the area of ΔLMN

Learn more about area of a triangle from its vertices here :

https://brainly.com/question/17335144

#SPJ2

Drag the tiles to the correct boxes to complete the pairs. Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.

Answers

Answer:

Kindly check attached picture for detailed explanation

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer:

the other person has it correct

En una oficina hay 96 computadores en total. La razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3 : 5. ¿Cuántos computadores de la oficina deben ser reparados en total?

Answers

Answer:

36 computadores deben ser reparados.

Step-by-step explanation:

Dado que en una oficina hay 96 computadores en total, y la razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3:5, para determinar cuántos computadores de la oficina deben ser reparados en total se debe realizar el siguiente cálculo:

(96 / (3+5)) x 3 = computadores que deben ser reparados

(96 / 8) x 3 = computadores que deben ser reparados

12 x 3 = computadores que deben ser reparados

36 = X

Por lo tanto, 36 computadores deben ser reparados.

A lawn fertilizer company is working on different formulas for lawn fertilizer. They want to examine the difference between their "Original Formula" and their "Improved Formula".

Answers

Answer:

From below table compare growth rates for every lawn that required and made a decision based on function family.

Step-by-step explanation:

Following attached table contains each and every lawn details as per time with original, and improvised shown their heights in mm (millimeters).

How many 1/4 - pound packages of cheese can the deli make with 12 - pound of cheese? Please help !!!

Answers

Answer:

48 packages

Step-by-step explanation:

recipicate 1/4 which is 4 the multiply by 12

Hope this helps!!!

Answer:

48

Step-by-step explanation:

1/4 = 0.25

12 / 0.25 = 48

You can make 48 packages.

hELP!!!!!!!!!!!!!!!!!!

Answers

Answer:

the second one

Step-by-step explanation:

The second one g because 125B-100A= 25

Your house had a value of $480,000 and increased in value by 3.5%. How much is your house worth now?

Answers

Answer:

$496,800

Step-by-step explanation:

Present cost = $480,000

%increase = 3.5%

Present price of the house = 480,000 + 3.5% of 480,000

= 480,000 + 0.035 * 480,000

= 480,000 + 16,800

= $496,800

Present price of the house = $496,800

someone help as soon as possible pls

Answers

Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

Credit goes to: https://brainly.com/app/profile/13544493/answers

If a=2i+4j, b=2i-5j.What is the vector equation of line AB?.

Answers

Answer:

9j

Step-by-step explanation:

vector AB means going to B from A.

= pos. final - pos. initial

= pos.B - pos.A

= (2i + 4j) - (2i - 5j)

= 2i + 4j - 2i + 5j

= 9j

A = 3^5 x 5 x 7^3
B = 2^3 x 3 x 7^4
Find the Lowest Common Multiple (LCM) of A and B.

Answers

Answer: A) 416745x^2 |  B) 57624x^2

How to:  The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Have a great day and stay safe ! sorry if im wrong

Please help with this ASAP

Answers

Answer:

7w^3/5v

Step-by-step explanation:

42v^3w^4/30v^4w

42 = 6 * 7

30 = 6*5 , factor

6*7v^3w^4/6*5v^4w

6 is common, cancel

7v^3w^4/5v^4w

simplify w^4/w = w^3

v^3/v^4 = 1/v

therefore, 7w^3/5v is the answer

The ratio of cars to vans at “Mason’s Used Cars” is 7:5. The ratio of cars to vans at “Hyland Auto” is 4:3. There are 60 vans in each used car lot.
Which lot has more cars? How many more?
“Hyland Auto” added 2 vans (add to 60). Does this make the ratio the same in both cases? Explain.
Show all of your work.

Answers

Answer:

Mason's has 4 cars more.

no, it is still not the same ratio.

Step-by-step explanation:

each lot has 60 vans.

the ratio of cars/vans at Mason's is 7:5.

this means for every group of 5 vans there are 7 cars.

how many groups of 5 vans are there ? 60/5 = 12

so, for each of the 12 groups of 5 vans there are 7 cars.

=> 12×7=84

another way to get there (and faster) :

you can also say that a ratio is actually a division.

7:5 is 7/5

so, 60 × 7/5 = 12 × 7 = 84

in any case, Mason's has therefore 60 vans and 84 cars.

Hyland also has 60 vans, but a ratio of cars to vans of 4:3.

let's do the fast route :

60 × 4/3 = 20 × 4 = 80

Hyland has therefore 60 vans and 80 cars.

so, Mason's has more cars (4 more than Hyland).

now Hyland adds 2 vans, having then 62 vans and still 80 cars.

so, the ratio cars to vans is now 80:62. or 80/62

=> 80/62 = 40/31 which cannot be further simplified, as 31 is a prime number.

40/31 is not equal to 7/5. so, it is still not the same ratio.

WHAT IS THE PROBABLITY OF GETTING FACE CARD?​

Answers

The probability is 12/52

Answer:

3/13?

Step-by-step explanation:

It takes 70 pounds of seed to completely plant a 9 -acre field.
How many pounds of seed are needed per acre?

Answers

Answer:

7.8 to 1 decimal place

Step-by-step explanation:

70 pounds for 9 acre

for one acre it'll be 70/9

7.7 recurring or 7.8 to 1dp or 8 to the nearest whole number

Answer:

7/9 pounds

Step-by-step explanation:

I did 70/9 to get 7/9 pounds

The length of a rectangle is five centimeters less than four times the width. If the perimeter id 50cm, find the width and length.

Answers

Answer:

W is 6

L is 19

Step-by-step explanation:

L= 4W - 5

P= 2L + 2W

P= 2(4W-5) +2W

50=8W -10 +2W

60 = 10W

W= 6

L= 19

The figure below shows a triangular piece of cloth: What is the length of the portion BC of the cloth?

6 cos 32°, 6 sin 32°, cos32°/6, sin32°/6​

Answers

Answer:

the answer is simple

Step-by-step explanation:

hope you got mu explanation

Answer:

6 sin 32°

Step-by-step explanation:

Hope this helps :)

FOR MATH FINAL WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

180 cm³

Step-by-step explanation:

2 x 5 x 6 = 30 x 2 = 60

3 x 8 x 5 = 40 x 3 = 120

120 + 60 = 180

1,100,300 in written in words please!

Answers

Answer:

one million one hundred thousand three hundred

which structure is found in the cytoplasm of a typical plant cell?​

Answers

The answer is ribosomes.

Answer:

Lysosomes

Step-by-step explanation:

How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)

Answers

Answer:

With 3 dots, you can only draw 1 triangle.

Step-by-step explanation:

All Triangles must have 3 sides, and 3 angles.

Note:

Pls, brainliest.

Thank you!

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