The sum of two numbers is fifteen. One number is three less than the other. Determine the system of equations.

Answers

Answer 1

Answer:

let, one number be x

then, other number be x-3

X+X-3=15

or, 2X=15+3

or,2X=18

or,X=18÷2

or,X=9

one number =9

then another number=X-3=9-3=6

Answer 2

The system of equations with two numbers x ad y are,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

Given that,

The sum of two numbers is fifteen.

And, One number is three less than the other.

Let us assume that,

Two variables for the numbers in the system of equations are x and y.

Hence, we can write the system of equations as,

The sum of two numbers is fifteen.

⇒ [tex]x + y = 15[/tex]

And, One number is three less than the other.

⇒ [tex]x = y - 3[/tex]

So, the system of equations is,

⇒ [tex]x + y = 15[/tex]

⇒ [tex]x = y - 3[/tex]

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Related Questions

Which of the following are acceptable weights?
13.5oz
13.8oz
14.15oz
14.2oz
14.3oz

Answers

Answer:

13.8   14.15   14.2

Step-by-step explanation:

Edge 2020

~theLocoCoco

Answer: b, c & d !

Step-by-step explanation:

Complete the equation involving x. Order terms like the physical situation, and don't simplify. A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

The space on each side of the painting = 2 feet

Step-by-step explanation:

Attached this answer is a diagram to give you visuals on how the value of x is calculated

Given:

width of wall = 10 feet

width of painting = 6 feet

Since the painting is centred on a wall, there is meant to be an equal space on each side of the painting, from the diagram, the following eaquation can be gotten

x + 6 + x = 10

2x + 6 = 10

2x = 10 - 6

2x = 4

x = 4 ÷2

x = 2 feet

Therefore, the space on each side of the painting = 2 feet

Find the quotient for 12 ÷ (-4).

Answers

Answer: -3

Step-by-step explanation: To divide 12 by -4, remember that a

positive divide by a negative is a negative.

So (12) ÷ (-4) is -3.

Please help me with the question below

Answers

Answer:

The answer is A.

Step-by-step explanation:

This is because Tia's amount of money minus Dana's amount of money should be at least 5

What is the area of the parallelogram?

Answers

70 cm

a parrallogram is a square of sorts, so just take the base times the height divided by two for the triangle portion than multiple by 2 to get rhe same answer back because those two triangles make a square

Please choose one to answer. Thanks of finished all 3 questions BRILLIANT! I give you Braingood thing

Answers

Answer:

Step-by-step explanation:

11.a=6

b=3

Martin is buying 400 video games for his entertainment store it's video game cost $20 which of the following could be used to find the total amount he will pay for the video games .​

Answers

Answer:

What are the following??

Step-by-step explanation:

Imma try to help tho

soo like 20$ per game and like 400 games

thats 20$*400=8,000 dollars

Cellular phone service that charges per minute will charge $35 for 220 minutes. How much would 753 minutes cost?

Answers

Answer:

$119.795  (aprox)

Step-by-step explanation:

Proportions:

$35  ⇔ 220 minutes

$C  ⇔  753 minutes

C = 753*35/220

C = $119.795    aprox.

The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $2300. What are the domain and range of the cost function, C(x)? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Preview Range: Preview

Answers

Answer:

1. Fixed cost is $800

2.Cost of 25 bags is $1025

3. (170,2300)

Step-by-step explanation:

Given

[tex]c(x) = 10x + 800[/tex]

Solving (a): Fixed cost

From the question, fixed cost is when x = 0;

Substitute 0 for x in [tex]c(x) = 10x + 800[/tex]

[tex]c(0) = 10 * 0 + 800[/tex]

[tex]c(0) = 0 + 800[/tex]

[tex]c(0) = 800[/tex]

Hence, the fixed cost is $800

Solving (b): Cost of making 25 items

Here; x = 25

Substitute 25 for x in [tex]c(x) = 10x + 800[/tex]

[tex]c(25) = 10 * 25 + 800[/tex]

[tex]c(25) = 250 + 800[/tex]

[tex]c(25) = 1025[/tex]

Hence, the cost of 25 bags is $1025

Solving (c): Domain and Range where Maximum cost = $2300

Here; c(x) = 2500

Substitute 25 for c(x) in [tex]c(x) = 10x + 800[/tex]

[tex]2500 = 10x + 800[/tex]

Subtract 800 from both sides

[tex]10x = 2500 - 800[/tex]

[tex]10x = 1700[/tex]

Divide both sides by 10

[tex]x = 170[/tex]

The domain and range of a function is in form of (x,c(x))

Hence, the domain and range is (170,2300)

Lee spent $29 to purchase a combination of drinks, sandwiches, and chips for himself and his friends. A drink costs $1.50, a sandwich costs $5, and chips cost $1.25. Identify the linear equation that represents this situation.

Answers

Answer:

1.5d+5s+1.25c=29

Step-by-step explanation:

let d be the number of drinks, s be the number of sandwich, and c be the number of chips Lee purchased.

1.5×d and 5×s and 1.25×c must total 29, or

1.5d+5s+1.25c=29.

Please Help! The base of a triangular prism has a base rent of 7 feet and a height of 3 feet the prism is 4 feet tall a second larger prism has dimensions that are three times the dimensions of the small prism what is the difference between the volumes of the two prisms?

Answers

Answer: 1092

Step-by-step explanation:

Answer:

1092

Step-by-step explanation:

( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 ) A) 5n 4 + 11n 3 B) 5n 4 + 11n 3 + 2 C) 4n 4 + 11n 3 + 2 D) 4n 4 + 19n 3 + 2

Answers

Answer:

i got 53 n

Step-by-step explanation:

could be wrong but try lol


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Question 11 pts
Is the value of the 1 in 1,440,000 10 times as great as the value of the 4 in the hundred thousands place? Explain




Answers

Answer:

Yes

Step-by-step explanation:

The answer is yes because 1,000,000 ÷ 100,000 = 10.

Find each of the following functions and state their domains. (Enter the domains in interval notation.)
f(x) = x3 + 4x2, g(x) = 5x2 − 1
(a) f + g
f + g =
domain =
(b) f - g
f − g =
domain =
(c) fg
fg =
domain =
(d) f/g
f/g =
domain =

Answers

Answer:

Step-by-step explanation:

Given functions are,

f(x) = x³ + 4x²

g(x) = 5x² - 1

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

                   = x³ + 4x² + 5x² - 1

                   = x³ + 9x² - 1

   Since the composite function is defined for all values of x, domain of the function will be (-∞, ∞)

(b). (f - g)(x) = x³ + 4x² - (5x² - 1)

                 = x³ - x² + 1

  Domain of the function : (-∞, ∞)

(c). (f.g)(x) = f(x) × g(x)

               = (x³ + 4x²)(5x² - 1)

               = 5x⁵+ 20x⁴ - x³ - 4x²

Domain of the function will be (-∞, ∞).

(d). [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

               = [tex]\frac{x^3+4x^2}{5x^2-1}[/tex]

Since this function is not defined at [5x² - 1 = 0] Or x = ±[tex]\frac{1}{\sqrt{5}}[/tex]

Therefore, Domain of the composite function will be,

(-∞, -[tex]\frac{1}{\sqrt{5}}[/tex]) ∪ [tex](-\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}})[/tex] ∪ ([tex]\frac{1}{\sqrt{5}}[/tex], ∞)  

A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.

Answers

Where’s the question?

On 0.05 percentage of the spins did the spinner land on 2, according to the question.

How do you calculate the value?

For spins using the spinner geometry: Shape. Spinners are in the same category as dice. Spinners, in essence, give unpredictability to the creation of numbers, colors, or objects. It can be used in place of dice and vice versa to create numbers. IT may be used in a gaming scenario in the same manner that dice can be used to produce movements.

In 100 Spins it lands on 2 a total of 5 times

Therefore, it’s 5/100×100%

= 5%

So, the Answer is 5. So 5% .

To convert a percentage to a decimal, divide by 100. So 5% is 5/100, or 0.05. To convert a decimal to a percentage, multiply by 100 , move the decimal point 2 places to the right.

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...........................

Answers

Answer:

x= 88

Step-by-step explanation:

Each school day, Aidon wolks 11 blocks to school after school, he wolks 4 blocks to the library
and 12 blocks home. How many blocks does Aidon wolk in a week? *
e

Answers

Answer:

189

Step-by-step explanation:

Aidon walked 11 blocks to begin with than he walks 4 blocks to the library and 12 blocks home. This mean we add 11+4+12=27 and a week has 7 days which means we need to multiply that by 7 which gives us the product of 189.

Also, i double checked

Donte is planning on repairing bikes and skateboards to save up money for
college. He can repair up to 2 bikes per day and 4 skateboards per day. If b
represents the number of bikes and s represents the number of
skateboards, write the expression that represents the total number of
things Donte can repair in a single day. *​

Answers

Answer:

y=2b+4s

Step-by-step explanation:

I NEED HELP Are the two functions inverses? f ( x ) = − 8 x + 5 g ( x ) = − 1 8 x + 5 8 Group of answer choices Yes No

Answers

Answer: No

Step-by-step explanation:

To know if the functions are inverses of each other, it is easiest to just find the inverse of one of the functions. To find the inverse, you want to replace y with x and x with y and solve for y.

y=-8x+5                                  [switch x with y and y with x]

x=-8y+5                                  [subtract both sides by 5]

x-5=-8y                                   [divide both sides by -8]

y=(x-5)/-8

f⁻¹(x)=(x-5)/-8

Since we know that the inverse doesn't match g(x), we know that these functions are not inverses of each other.

Determine whether set B is a subset of A.
7. A = {2, 3, 5, 7, 11}
B = {3, 5, 7, 9, 11)

Answers

Answer:

Set  B is not a subset of A.

Step-by-step explanation:

If there are sets, A and B with some elements, then B can be called subset of A, if every element of B is present in set A.

Example.

Example

A is set of integers

B is set of natural numbers

we know set of integers is all the negative numbers, 0 and all the positive discrete numbers like

A = {......-3,-2,-1,0,1,2,3,4........}

B is set of positive discrete numbers from 1 to infinity)

B =  {1,2,3,4........}

Thus, we see every element of B is present in A . Hence B is subset of A

___________________________________________

Given

A = {2, 3, 5, 7, 11}

B = {3, 5, 7, 9, 11)

Here,

In set B . elements 3,5,7,11 are present in set A, but

Element 9 from set B is missing Set A.

Since, every element of Set B is not present in set A hence

Set  B is not a subset of A.

The two-way frequency table below shows data on type of vehicle driven and whether there was a speeding ticket in the last year for customers of All American Auto Insurance. Complete the following two-way table of row relative frequencies. (If necessary, round your answers to the nearest hundredth.) Sport utility vehicle (SUV) Sports car Speeding ticket within the last year 282828 353535 No speeding ticket within the last year 979797 104104104 Sport utility vehicle (SUV) Sports car Row total Speeding ticket within the last year 1.001.001, point, 00 No speeding ticket within the last year 1.001.001, point, 00

Answers

Answer:

Step-by-step explanation:

Given frequency table is,

                                                     Sport utility vehicle     Sports car    Row total

Speeding ticket within last year                 28                          35              63    

No Speeding ticket within last year           97                         104              201

Now relative frequency table will be,

                                                      Sport utility vehicle     Sports car    Row total

Speeding ticket within last year           [tex]\frac{28}{63}=0.44[/tex]                 [tex]\frac{35}{63}=0.56[/tex]         [tex]\frac{63}{63}=1[/tex]  

No Speeding ticket within last year     [tex]\frac{97}{201}=0.48[/tex]                [tex]\frac{104}{201}=0.52[/tex]        [tex]\frac{201}{201}=1[/tex]

Answer:

The answer above is wrong. This is the correct one(the picture)

Step-by-step explanation:

please help me with this *the answer i has typed (5^11) is incorrect

Answers

Answer:

[tex]-5^{11}[/tex]

Step-by-step explanation:

It would actually be [tex]-5^{11}[/tex] since it is a negative 5

Answer:

( -5) ^ 11

Step-by-step explanation:

( -5) ^5

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

( -5) ^ -6

Since we are dividing, we subtract the exponents

(-5) ^ ( 5 - -6)

(-5) ^ (5+6)

( -5) ^ 11

Determine the rate of change for 3/2x -5/4y = 15

Answers

Answer:

-6/5

Step-by-step explanation:

3/2x - 5/4y = 15

-5/4y = -3/2x + 15

multiply each side by (-4/5)

(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)

y = -6/5x - 12

rate of change: -6/5

Write 6.93 repeating a mixed number in simplest form.
6.93 =?

Answers

Answer:

[tex]6\frac{93}{100} = \frac{693}{100}[/tex]

Step-by-step explanation:

Turn 6.93 into a fraction: [tex]6\frac{93}{100}[/tex]  To turn into a mixed number, first multiply 6 and 100, then add 93. Put 693 over 100: [tex]\frac{693}{100}[/tex]  

I hope this helps!

Answer:  [tex]6 \frac{31}{33}[/tex]

This is a mixed number where the whole part is 6, and the fractional part is 31/33.

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

Explanation:

The 93 repeats forever, so we can say

x = 6.939393...

100x = 693.939393....

Subtracting the left hand sides leads to 100x-x = 99x

Subtracting the right hand sides leads to 693.939393.... - 6.939393... = 687

Notice how the decimal terms cancel out when we subtract.

We're left with 99x = 687 which solves to x = 687/99

This reduces to 229/33 when you divide both parts by 3.

The last step is to convert to a mixed number

The answer will be in the form [tex]6 \frac{x}{33}[/tex] where 6 is the whole part and x/33 is the fractional part. We know the whole part is 6 from the 6 in the original number given.

229/33 = 6.939393... helps confirm we're on the right track so far

this is another way of saying 229/33 = 6 remainder x, where x is the unknown remainder and the numerator we're after for the fraction x/33.

To get the remainder, we just compute 229-6*33 to get 31

This means 31/33 = 0.93939393...

and that [tex]6 \frac{31}{33} = 6.\overline{93} = 6.93939393...[/tex]

1/2(-2x - 12) > 7(3 - 4x)

The solution is____​

Answers

Answer:

x > 1

interval (1,∞)

Step-by-step explanation:

1/2(-2x - 12) > 7(3 - 4x)

-x - 6 > 21 - 28x

-x + 28x > 21 + 6

27 x > 27

x > 27 / 27

x > 1

interval (1,∞)

-x - 6 > 21 - 28x     if x = 2

-2 - 6 > 21 -28(2)

-8 > 21 - 56

- 8 > - 35

which function below is the Inverse of f(x)= 7x-1/2​

Answers

Answer:

[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore,[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]

Hope that helped,

-sirswagger21

PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall for $446.90 including tax. If the tax rate is 9%, find the price of the television set before taxes.

Answers

Answer:

The price of the tv before tax is 410

Step-by-step explanation:

Let x = price of tv before tax

tax = x*  9%

tax = .09x

The total cost is price of tv before tax plus tax

total cost = x + .09x

total cost = 1.09x

446.90 = 1.09x

Divide each side by 1.09

446.90/1.09 = 1.09x/1.09

410 = x

The price of the tv before tax is 410

Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.

Answers

The value of ST is 8.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Given:

ST=5x-7, RT=4x+9, RS=2x+7

So,

RS + ST = RT

2x +7  + 5x -7 = 4x+9

7x = 4x +9

3x= 9

x=3

So,

ST= 5x-7 = 5*3 -7= 15-7= 8

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When did the United States first start to consider adopting the metric system?

Answers

Answer:

1866

In 1866, the U.S. Congress authorized the use of the metric system and almost a decade later America became one of 17 original signatory nations to the Treaty of the Meter. A more modern system was approved in 1960 and is commonly known as SI or the International System of Units.

Answer:

1893

Step-by-step explanation:

In 1893, metric standards, developed through international cooperation under the auspices of BIPM   please mark brainliest :)

Write each statement as a decimal to two decimal places. $6.00 to 95 cents = 3 hours to 35 minutes = 42 inches to 2 feet = (Hint: there are 12 inches in 1 foot.)

Answers

Answer/Step-by-step Explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = [tex] \frac{6.00}{95} [/tex]

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

[tex] \frac{600}{95} = 6.32 [/tex] (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

[tex] 180mins : 35 mins = \frac{180}{35} = 5.14 [/tex] (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

[tex] 42 in:24 in = \frac{42}{24} = 1.75 [/tex]

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