Determine whether the given ordered pair is a solution of
the system of equations.
(8, 7); -x+y= - 1
6x + y = 41

Answers

Answer 1

Answer:THE ANSWER IS NO.

Step-by-step explanation:

As we have given that x=8 and y=7

put theses values in given equations :-

 -x + y= -1

-8+7= -1,true

But, for 6x+y=41

We get 6*8+7=41

55 ≠41

Hence the answer is NO.

Answer 2

Answer:

Step-by-step explanation: if the ordered pair (8,7) is a solution of a system of equations; the values x=8, y=7                                             substituted in the system must make both equations true.               -8+7=-1                                                                                                                         -1=-1 √                                                                                                        6×8+7=41                                                                                                                         48+7=41                                                                                                                         55=41  

(8,7)  is not a solution of the systems.


Related Questions

could I have some help on my patterns assignment​

Answers

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

Conjecture: Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

Conjecture: Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

Conjecture: Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Conjecture: Each term is the next consecutive prime number.

5. Correct as is

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Conjecture: Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

We add 5 to each number

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

Divide each number by 2

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

We have to cube n:

n³ = consecutive number cubed

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

We must add the two previous numbers to get the next term:

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

Determine the sum of (8x1 – x + 4) and (3x + 5)

Answers

Answer:

x = 1/9

Step-by-step explanation:

8x¹ - x +4 can be also written as 7x + 4 or 7x = -4

And 3x + 5 can be written as 3x = -5

So,

7x = -4

-(3x = -5)

4x = 1

x = 1/9

The Burger Joint expects to serve 250 hamburgers on Saturday evening. Each hamburger weighs 6
ounces before it is cooked. The chef orders ground beef in bulk by the pound from Outwest Meats,
ready to be formed into hamburger patties by the kitchen staff. How much ground beef will the chef
need to order to prepare for Saturday?

Answers

Answer:150 ounces

Step-by-step explanation:

MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 to rent shoes and $4.50 per game. a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B? Bowling alley A: ___ or more games. Bowling alley B: ___ or___ games .
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.

Answers

The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

How to solve inequality word problems?

Bowling alley A;

Their charges per game is $4 per game

Charges to rent shoes is $3.75

If number of games is x, then we have;

Total Cost = 3.75 + 4x

Bowling alley B;

Their charges per game is $4.50 per game

Charges to rent shoes is $2.50

If number of games is x, then we have;

Total Cost = 2.5 + 4.5x

Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;

2.5 + 4.5x > 3.75 + 4x

Rearrange to get like terms gives;

4.5x - 4x > 3.75 - 2.5

0.4x > 1.25

x > 1.25/0.4

x > 3.125

Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

B)  Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;

3.75 + 4.5x > 2.5 + 4.5x

This means that the total cost will now always be greater at Bowling alley A

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E 2

2 + 1 + 7

I GOT BORED AGAIN HELP ME

Answers

Answer:

10.

Step-by-step explanation:

Add them together.

Answer:

2 + 1 + 7 = 10

Step-by-step explanation:

This is actually easy.

If 15 sports jerseys cost $345 and 25 jerseys cost $495, write a linear equation that gives the cost C (in dollars) for j jerseys.

Answers

The linear equation that gives the cost C (in dollars) for j jerseys is [tex]C = 23j_{1} + 19.80j_{2}[/tex].

How do we derive a linear equation?

From the question, the linear equation that gives the cost C (in dollars) for j jerseys can be derived as follows:

[tex]C = 23j_{1} + 19.80j_{2} ............................. (1)[/tex]

Where:

C = total cost of the two jersey

Cost per unit of sports jerseys with $345 cost = $345 / 15 = $23

Cost per unit of jerseys with $495 cost = $495 / $19.80

[tex]j_{1}[/tex] = units of sports jerseys with $345 cost

[tex]j_{2}[/tex] = units of jerseys with $495 cost

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____________________________________________________________

Answers

______________________________

Determine whether the following argument is inductive or deductive:

"The last mayor was honest. The current mayor is honest. All mayors are honest."

Answers

Answer:

Inductive

Step-by-step explanation:

The given argument presented is an example of inductive reasoning.

What is inductive reasoning?

Inductive reasoning entails drawing broad generalizations based on a small number of observations, and the conclusion is not necessarily guaranteed to be correct, but simply likely based on the data.

The argument presented is an example of inductive reasoning, because it is based on a specific observation and a generalization that goes beyond the available evidence.

While the previous and current mayors may be honest, based on this limited evidence, it is not necessarily true that all mayors are honest.

The argument makes the assumption that the honesty of these two persons is indicative of all mayors, which is a conclusion based on little evidence.

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What is the perimeter of quadrilateral EFGH?

Answers

Answer:

54 units

Step-by-step explanation:

From G to H, use the Pythagorean Theorem:

[tex]3^2+4^2=\sqrt{25} =\fbox{5}[/tex]

From G to F, just count:

[tex]\fbox{11}[/tex]

From H to E, use the Pythagorean Theorem:

[tex]12^2+5^2=\sqrt{169}=\fbox{13}[/tex]

From F to E, use the Pythagorean Theorem:

[tex]15^2+20^2=\sqrt{625}=\fbox{25}[/tex]

Now, add up all the answers:

[tex]5+11+13+25=\fbox{54}[/tex]

I sent an attachment

Answers

the answer is c and explanation is in the photo:)

ng Task 4. Select appropriate numbers divisible by 2, our answer on your notebook. isible by 2 Divisible by 5 105 238 400 906 260 360 450 745 110 270 110 565 105 85 390 210 Divisible E 260 390 450 400 400 110 775 260 450 210 105 54 450 270 210 766 183 553 365 390 775 906 34 260 745 745 400 438 321 238 85 360 110 565 347​

Answers

Answer:

238, 400, 906, 360, 450, etc. and all numbers ending in 0, 2, 4, 6, 8.

Step-by-step explanation:

All even numbers are divisible by 2.

An even number is an integer whose ones digit is a 0, 2, 4, 6, o5 8.

I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS

Answers

Answer:

No

Step-by-step explanation:

The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.

What is the quotient of negative 210 over negative 15?

Answers

The quotient of A = - 210 and B = - 15 is 14.

What is Euclid's Division Lemma ?

The Euclid's Division Lemma says when a number 'a' is divided by a number 'b' gives the quotient to be 'q' and the remainder to be 'r' then the following relation -> a = bq + r exists, where 0 ≤ r < b.

Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]

Given two numbers A = - 210 and B = - 15

The resultant quotient when A is divided by B can be calculated using Euclid's division lemma. Initially, we will assume remainder [r] = 0.

If the quotient is in decimals, we will change the remainder according to it else if the quotient is a whole number, the remainder will remain 0.

Using Euclid's division lemma -

Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]

- 210 = - 15 x q + 0

- 210 = - 15 x q

q = - 210 / - 15 = 14

Since, the quotient is a whole number, the remainder will remain zero.

Therefore, the quotient of A = - 210 and B = - 15 is 14.

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Which expression is equivalent to , if y ≠ 0?
A.
B.
C.
D.

Answers

Answer:

is there more??? i don't have a enough info

Step-by-step explanation:

What are the coordinates of (-4,-2) rotating 90° counterclockwise?

Answers

Answer:

(2, -4)

Step-by-step explanation:

The rotation of an object turns the object around a fixed point called the center of rotation.  

A rotation of 90° counterclockwise means:

A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.

The rule for a counterclockwise rotation of 90° about the origin is:

(x, y) → (-y, x)

Therefore:

(-4, -2) → (2, -4)

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PLS HELP -8+13+(-13)!!!!

Answers

Answer:
-8

Step-by-step explanation:

Given the following question:

-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8

Hope this helps.

Hello..!

[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]

[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]

First, to solve the problem we take into account the Law of Signs:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]

Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]

Then we must subtract knowing that when there is a minus and a plus it is automatically minus

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]

Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]

¿Doubts? in the comments

what is the nth term of 1, 3, 9

Answers

Answer:

3ⁿ

Step-by-step explanation:

The nth term is:

3ⁿ

Find the quotient of 32×10-22 over 8×10-22

Answers

Answer:

5 4/29

Step-by-step explanation:

Rewrite as 298/58 and do the math

Question 2 of 10
Solve x + 4 = 6.
OA. x = -2 and x = 10
OB. x 2 and x = -10
OC. x = -2 and x = -10
OD. = 2 and x = -2

Answers

The solution for x in the equation is x  = 2

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the solution of the equation?

The equation is given as

x + 4 = 6

Subtract 4 from both sides of the equation

So, we have

x + 4 - 4 = 6 - 4

Evaluate the like terms

So, we have

x  = 2

Hence, the solution for x in the equation is x  = 2

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Write 0.641 as a fraction in simplest form

Answers

Write the number as a fraction of 1 (one):

0.641 = 0.641/1

Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):

Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,

0.641/1 = (0.641 x 1,000)/(1 x 1,000) = 641/1,000.

Note that multiplying by 10 is the same as moving the decimal point one place to the right.

Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.

Skandar

Parcels contain 6 magazines and 4 books. How many parcels can be made from 290 magazines and books?

Answers

29 parcels can be made from 290 magazines and books

How many parcels can be made from 290 magazines and books?

The given parameters are

1 parcel = 6 magazines and 4 books

This can be rewritten as:

1 parcel = 10 magazines and books

For 290 magazines and books, we  have

x = 290 magazines and books

This means that

x = 290 magazines and books

1 parcel = 10 magazines and books

Cross multiply

x * 10 = 290 * 1

This gives

x = 29

Hence, 29 parcels can be made from 290 magazines and books

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The price of a computer is 899.00. The sales tax is 7%. What is the sales tax on this computer in dollars and cents?

Answers

Answer:

$62.93

Step-by-step explanation:

Convert 7% to a decimal and multiply by the price:  

$899.00 x .07 = $62.93

PLEASE ANSWER THIS QUESTION QUICKLY!


Solve by factoring:


2(m-1)^2-11(m-1)+5=0


Give either of the two solutions.


Rules answering these questions:


Show your work!


Explain your answer!


Nonsense answer will be reported and delete your answer!


Do not spam answers!


Thanks!

Answers

2(m-1)^2-11(m-1)+5=0
2((m-1)(m-1))-11m+11+5=0
solve (m-1)(m-1) first then multiply the answer by 2
2(m^2-2m+1)-11m+16=0
2m^2-4m+2-11m+16
2m^2-15m+18
make factors
2m^2-3m-12m+18
m(2m-3)-6(2m-3)
(m-6)(2m-3)
there will be two answers
solve (m-6) first
m-6=0
m=6

Now (2m-3)
2m-3=0
2m=3
m=3/2

There will be two answers to this equation 6 and 3/2

The table below shows the frequency distribution of the rainfall on 52 consecutive saturdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately​ normal?

Answers

Looking at the histogram in C(3rd) we know that it is not symmetric. We can not(can’t) say that it is approximately normal. Hence,  C is the correct answer.

What is a histogram?

A histogram is a graph that shows the frequency of numerical data using blocks. The height of a cube( the perpendicular axis) represents the distribution frequency of a variable( the quantum, or how frequently that variable appears). A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups figures into ranges. high bars show that further data falls in that range. A histogram displays the shape and spread of nonstop sample data. Histograms fantasize quantitative data or numerical data, whereas bar maps display categorical variables.

From the frequency table, we get the frequency of the first class is 20(twenty), and for the second(2) class it is 10(ten) also the remaining frequencies are correctly shown by the histogram shown in option C.

Hence, C is the correct(right) answer.

Looking at the histogram in C(3rd) we know that it is not symmetric. Hence we can not(can’t) say that it is approximately normal.

Hence C. No it is not symmetric is the correct(right) answer.

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What is the volume of a right rectangular prism that is packed with 300 1/5-foot cubes?

Answers

The volume of the right rectangular prism = 2.4 ft³

How to Find the Volume of a Cube?

A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:

Volume = a³, where a is the side length of the cube.

Given:

Side length of one cube (a) = 1/5 ft

Volume of one cube = (1/5)³ = 1/125 ft³

The right rectangular prism has 300 of these cube. Therefore:

Volume of the right rectangular prism = 300 × 1/125

Volume of the right rectangular prism = 300/125

Volume of the right rectangular prism = 2.4 ft³

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What is the solution to 3i - 6 = 7i + 1

Answers

Answer: i=-1.75

Step-by-step explanation:

3i - 6 = 7i + 1

3i-3i-6=7i-3i+1

-6=4i+1

-6-1=4i+1-1

4i=-7

i=-7/4

i=-1.75

find the quotient 17 ÷ 6 8/10​

Answers

The ratio of EQUATION the outcome is (17/6)/(8/10) = 3.5416667.

What in mathematics is a quotient?

The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.

based on the available facts;

Divide: 17/6 : 8/10

= 17/6· 10/8

= 17 · 10/6 · 8

= 170/48

= 85/ 24

= 85/24

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction is the first sub-step. For example, the reciprocal of 8/10 is 10/8. Multiply the two numerators after that. Multiply the two denominators after that. The intermediate step that comes after canceling by a common factor of 2 yields 85/24.

Therefore, eight tenths of seventeen sixths equal eighty-five twenty-fourths.

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x/2+3=x+6 solve for x, thank you please!

Answers

Answer:

x= -6

Step-by-step explanation:

x/2+3=x+6

We have to isolate the variable.

x/2+3=x+6

-x       -x

-x/2+3=6

      -3  -3

-x/2=3

-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2

x=-6

Solve for n
s = 4n+4v

Answers

We get the equation in terms of n as n = s / 4 - v.

Equation:

An equation is an expression with an equal sign.

For example:

3 x + 4 y = 5

2 x + 5 y = 9 etc.

We are given an equation:

s = 4 n + 4 v

We have to solve this for n.

First we will subtract 4 v from both sides:

s - 4 v = 4 n + 4 v - 4 v

s - 4 v = 4 n

4 n = s - 4 v

Now divide both the sides by 4:

4 n / 4 = (s - 4 v) / 4

n = s / 4 - v

Therefore, we get the equation in terms of n as n = s / 4 - v.

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A salesperson earns a commision of $480 for selling $3000 in merchandise. Find the commission rate. Write your answer as a percentage.

Answers

Answer:

16%

Step-by-step explanation:

Commission = Rate of commission * Total sales

So, Rate of commission = Commission/Total sales

x = Rate of commission

x = 480/3000

x = 0.16

x as percentage = 0.16 * 100

x as percentage = 16%

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