the area of a rectangular place mat is 98 inches its length is seven inches longer than the width. find the length and width of the place mat

A

Answer:

[tex]a = \sqrt{63} [/tex]

Answer:

ignore this

Step-by-step explanation:

5-7=21

Answer:

X=22

Step-by-step explanation:

258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.

There are no solutions to this system.

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Explanation:

Let's simplify and rearrange terms for the first equation. The goal is to get it into the form Am+Bn = C, where A,B,C are constants.

4(m-n) = 7(1-n)

4m-4n = 7-7n

4m-4n+7n = 7

4m+3n = 7

Let's do the same for the second equation

(3/2)n = 4 - 2m

3n = 2(4-2m)

3n = 8 - 4m

4m+3n = 8

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The result of each simplification is that we ended up with 4m+3n on the left hand side for each equation. The only difference is that we got 7 for the first equation and 8 for the next one.

This is a contradiction because 4m+3n can only equal one number at a time for any given (m,n) pair. It's like saying z = 7 and z = 8 at the same time, where z = 4m+3n. But z can only equal one value at a time.

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In summary, the given system leads to a contradiction and the system is inconsistent. This means that there are no solutions. There are 0 ordered pairs (m,n) that make both original equations to be true.

The correct answer is there is exactly one ordered pair ([tex]m = \dfrac{73}{56}[/tex] , [tex]n = \dfrac{13}{14}[/tex] ) that satisfies the given system of equations.

Given

[tex]4(m - n) = 7(1 - n)[/tex]

[tex]\dfrac{3}{2} n = 4 - 2m[/tex]

First, simplify the second equation:

[tex]\dfrac{3}{2} n +2m = 4[/tex]

Now,  solve this equation for n:

[tex]n = (4 - 2m) * \dfrac{2}{3}[/tex]

[tex]n = \dfrac{(8 - 4m)}{3}[/tex]

Now, substitute this value of n into the equation [tex]4(m - n) = 7(1 - n)[/tex] :

[tex]4(m - \dfrac{(8 - 4m)}{3}) = 7(1 - \dfrac{(8 - 4m)}{3}[/tex]

[tex]m = \dfrac{73}{56}[/tex]

From the value of m, substitute it back into the equation for n:

[tex]n = \dfrac{(8 - 4m)} { 3}[/tex]

[tex]n = \dfrac{13}{14}[/tex]

The solution is one ordered pair  [tex]m = \dfrac{73}{56}[/tex]  and  [tex]n = \dfrac{13}{14}[/tex].

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Answer:

49

131

Step-by-step explanation:

Answer:

These answer are written in standard form

Step-by-step explanation:

D. The sum of four and twice a number = 2x+4

C. Seven more than three times a number, all multiplied by itself = 3x+7

B. Nine less than a number, all divided by three = [tex]\frac{n-9}{3}[/tex]

Answer:

steps below

Step-by-step explanation:

f(x) = x⁷ – 6x⁶ + 8x⁵

f'(x) = 7x⁶ - 36x⁵ + 40x⁴

      = x⁴ (7x² - 36x + 40)   ... (1)

Critical point (x,y): x = 0  ,  x = (36 ± √(-36)²-4*7*40) / (2*7) = (18±2√11) / 7

x = 0   or   x = 3.5    or    x = 1.6

plug into (1): y = 0   ,  y = -394.3  ,    y = 10.1

extreme : maximum (1.6 , 10.1)       minimum (3.5 , -394.3)  ... turning points

x⁷ – 6x⁶ + 8x⁵ = x⁵ (x² - 6x + 8) = x⁵ (x-2) (x-4) =0

real zeros: x = 0,   x=2,    x=4

9514 1404 393

Answer:

  b. 327,449

Step-by-step explanation:

Adjacent digits have values related by a factor of 10 if they are the same digit.

  327,449

is the number that has two adjacent digits the same.

Step-by-step explanation:

1 2/3 can be written as 5/3 and -3 1/2 can be written as -7/2

now,

→ 5/3×-7/2

→ 5 × (-7) / 3 × 2

→ -35/6 ans.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

-62

Step-by-step explanation:

12/3 * -31/2

12÷3 =4/1

4/1*-31/2

4÷2=2

-31*2=-62

Answer:

C. x = 18

Step-by-step explanation:

3x = 54

First, you try to get x by itself.

To do that, you divide both sides by 3

It looks like this:

3x/3 = 54/3

And it ends up being:

x = 18

Answer:

x + 8 =21; x = 21 -8; x= 13

3x = 54; x =54/3;x= 18

x/5 = 10;x= 10× 5;x= 50

Answer: 6 3/4 miles

Explanation: turn 3 1/4 into an improper fraction makeing it 13/4 multiply both 7 and 2 by 2 makeing 7/2 into 14/4 add the two together 13/4+14/4= 27/4 then simplify down to 6 3/4

They cycled in total 6 3/4 miles.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Padma cycles 3 1/4 miles.

And, Josh cycles 7/2 miles.

Now,

Since, Padma cycles 3 1/4 miles. Josh cycles 7/2 miles.

Hence, The total cycled by both = 3 1/4 + 7/2

                                                  = 13/4 + 7/2

                                                  = 13/4 + 14/4

                                                  = (13 + 14) / 4

                                                  = 27/4

                                                  = 6 3/4 miles

Thus, They cycled in total 6 3/4 miles.

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Answer:

B) Domain: All real numbers; Range: y > 3

Step-by-step explanation:

I. x can be any value in real number

but if you look at the graph, the y is near 3 but not 3

So y is more than 3 and x is all real number

When x is domain and y is renge.

That makes domain is real number and renge is more than 3.

Hope that help :)

Answer:

Can you show me a ss of the question

Step-by-step explanation:

Thx

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation of a vertical line is ...

  x = constant

If you want the line to go through a point with an x-coordinate of 3, then the constant must be 3.

  x = 3 . . . . . . .vertical line through (3, 4)

Answer: 2/15

Step-by-step explanation:

(-3/5)(-2/9)

(-1/5)(-2/3)

(2/15)

Answer:

what's the math question?

Step-by-step explanation:

Answer:

50 mL

Step-by-step explanation:

<33

Answer:

50mL

Step-by-step explanation:

20% = 1/5

1/5 of 250 is 50

Therefore, she received 50mL of IV fluids.

Hope this helped!

Answer:

y=2/3x+-3    (3,-1) and (0,-3)

Step-by-step explanation:

This is correct because your slope is 2/3 and y-intercept is -3 and the is the equation.  (3,-1) and (0,-3) are the cooridnates.

Answer:

Equation 2:y\geq 2x+3y≥2x+3

We will make the table.

x : -2 0 2

y : -1 3 7

Test Point: (0,4)

Answer:

i think is is 3

Step-by-step explanation:

Given :

To find :-

Answer :-

Given function :-

On equating with 0 ,

Hence it cuts x axis on (2,0) and (4,0) .

Using midpoint formula ,

Answer:

(3,0)

Step-by-step explanation:

The answer above is correct.

Answer:

2.8n.8n.8n.8n

option no. 4

Answer:

500 por 6

Step-by-step explanation:

espero que te ayuder

Answer:

the points for Q would be (-1,-1)

Step-by-step explanation:

oh i hope im right im sorry if wrong

Answer:

1.300

Step-by-step explanation:

The length and the width get multiplied and your answer would be 1.300

Answer:

Zuri: -10x + 125, Cara: 10x+125, Julio: 125x + 10

Step-by-step explanation:

Zuri starts with 125 dollars, and spending 10 dollars per month, means a subtraction of $10 per month.  So, after x months, the subtraction = -10x = -10 + -10 + ... + -10, x times.  Thus, f(x) = 125 + (- 10x) = 125 - 10x = -10x + 125.

Cara starts with 125 coins, and collecting 10 coins per year, means an addition of 10 coins per year.  So, after x years, the addition = 10x = 10 + 10 + ... + 10, x times.  Thus, f(x) = 125 + 10x = 10x + 125.

Julio starts with $10, and earning $125 per week, means an addition of $125 per week.  So, after x weeks, the addition = 125x = 125 + 125 + ... + 125, x times.  Thus, f(x) = 10 + 125x  = 125x + 10.