Grandma is planning to host Thanksgiving this year. She recently bought a new table and needs to make sure everyone will fit around it. The perimeter of the table is 350 inches. Each of her fancy place settings is 30 inches wide, which includes a buffer zone so people do not hit elbows. How many people can she comfortably sit at this new table?

Answer:

x = 15

Step-by-step explanation:

a straight line has the angle of 180 degrees

so when added together both angles should equal 180

4x - 17 + 137 = 180

then combine like terms

4x + 120 = 180

and then subtract

4x = 60

and then divide

x = 15

and that is your answer

Answer:

A) no solution

Step-by-step explanation:

These lines are parallel. Which means that they will never intersect, and since the solution to a system of equations is the point or points of intersection, this means there would be no solution to this system.

Answer:

24

Step-by-step explanation:

i used calculator. it is so easy

Answer:

x=m+5

Step-by-step explanation:

if x minus 5 is m then reverse it and m plus 5 would be x

Answer:

x=m: x-5=m which means m-5=m which means 5=0 which means No Solutions

x=5: x-5=m which means 5-5=m which means m=0

x=m+5: m+5-5 which means m-0=m which means No solutions

x=m-5: m-5-5=m which means m-10=m which means -10=0 which means No solutions

Answer:

3.785 litres

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1) quotient of 32 and 4 is 32/4

8 more than means + 8

so 32÷4 + 8

2) quotient of 12 and 6 is 12/6

8 more than means + 8

so 12÷6 + 8

3) 7 * 4 + 3

here multiplication gets preference

so it is (7*4) + 3

3 more than the product of 7 and 4

4) 35 ÷ (12 - 5)

here parentheses gets preference

so it can be called as

35 divided by the difference of 12 and 5

or the quotient of 35 and the difference of 12 and 5

5) fill the boxes as below

16 divided by 4 = 16 ÷ 4

16 - 4

16 * 4

16 + 4

16 ÷ 4

16 * 4

16 + 4

16 - 4

Answer:A number line shows 114, −224, and −134. Which statement is NOT true?

Step-by-step number line shows 114, −224, and −134. Which statement is NOT true?

A number line shows 114, −224, and −134. Which statement is NOT true?

Answer:

2/7

Step-by-step explanation:

6 large fish and 8 small fish (half of the them are red = 4)

total fish 6 + 8 = 14 fishes

probability that one fish is one small and red fish is

there are 4 small and red fish

= 4c1 / 14c1

= (4! / (1! (4 - 1)! )  /  (14! / (1! (14-1)! )

= 4/14

= 2/7

Answer:

18.4 cm

Step-by-step explanation:

For this problem, you would use Pythagorean Theorem or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. Picture the 90 degree angle as an arrow pointing to the hypotenuse.  In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!

Answer:

It's kind-of blurry, can you copy-paste the questions?

Step-by-step explanation:

Answer: Heyy Bestie <3

The Answer Steps are down below

Stay Sliving

The thing is that's all I got. There is no other way to simplify it. Are you sure that is the right equation?

Answer:

[tex]x=\pm14\\x=\pm17\\y=\pm5[/tex]

Step-by-step explanation:

Generally, equations in the form [tex]\sqrt{x^2}=c[/tex] where [tex]c[/tex] is some constant, would have [tex]x=\pm c[/tex] as its solution.

This is because the square of a number is always positive regardless of the sign of [tex]x[/tex].

Step-by-step explanation:

Given:

Find amount of interest in both investments:

As we see the online savings account earns more interest and the difference is:

Answer:

option. b

Step-by-step explanation:

.0.01m........

The time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.

The minimum number of days taken by the tractor when working 8 hours a day is 11 days.

The area is the total surface occupied within the boundary of the figure.

In the question, we are given that a tractor can plant a field at a rate of 2.5 acres per 5 minutes.

We are asked the time taken by the tractor to plant a field having an area of 4 square miles.

First, we convert the area of the field from sq. miles to acres using the conversion rate, 1 square mile = 640 acres,

Thus, the area of the field = 4 sq. miles = 4*640 acres = 2560 acres.

Time taken to plant 2.5 acres is given to be 5 minutes.

Thus, the time taken to plan 1 acre = 5/2.5 = 2 minutes.

Thus, the time taken to plant the field having an area of 2560 acres = 2560*2 minutes = 5120 minutes = 85.33 hours =  85 hours and 20 minutes.

Thus, the time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.

The time for which the tractor can run daily is 8 hours.

Thus, the number of days taken by the tractor to plant the field = 85.33/8 = 10.66625, or 11 days.

Thus, the minimum number of days taken by the tractor when working 8 hours a day is 11 days.

Learn more about unit conversions at

https://brainly.com/question/28000115

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Hello! (:

3x+4=y

We want to convert it into slope-intercept form:

y=mx+b

Our equation looks like this:

y=3x+4

Now, parallel lines have the same slope. So if one line has a slope of 3, the line parallel to it has a slope of 3 as well.

Now, we have the slope and a point, so we write the equation in point-slope form:

y-y1=m(x-x1)

y-(-2)=3(x-4)

y+2=3x-12

y=3x-12-2

y=3x-14

Hence, that is the required equation, Hope it helps you!

If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower (:[/tex]

Step-by-step explanation:

The answer is -0.216m^9n^6

The 9 N and the 6 are exponents

The given monomial in standard from as [tex]-0.216m^927n^6[/tex].

The given monomial is (-0.6m³3n²)³.

Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial.

The given monomial can be solved as follows:

Using power law of exponent [tex](a^m)^n=a^{mn}[/tex], we get

(-0.6m³3n²)³

= [tex]-0.216m^927n^6[/tex]

Therefore, the given monomial in standard from as [tex]-0.216m^927n^6[/tex].

Learn more about the monomial here:

https://brainly.com/question/9183135.

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Answer:

Please post the chart

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be 'x'

20% * x = 28

[tex]\dfrac{20}{100}*x = 28\\\\\\\dfrac{1}{5}*x=28\\\\\\x=28*5\\\\x = 140[/tex]

[tex]\dfrac{45}{100}*140=9*7=63[/tex]

45% of 140 = 63

2)

[tex]\dfrac{7}{100}*y=9\\\\y=9*\dfrac{100}{7}=\dfrac{900}{7}=128.57[/tex]

[tex]\dfrac{70}{100}*128.57= 90[/tex]

Answer:

a = 10

d = 5

Step-by-step explanation:

[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]

a + 4d = 30 ------------------(I)

[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]

a + 12d =70 -------------(II)

Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d

(I)         a +   4d = 30

(II)*(-1)   -a - 12d = -70   {Now add}

               - 8d   =  - 40

Divide both sides by (-8)

d = -40/-8

d = 5

Plugin d = 5 in equation (I)

a + 4*5 = 30

a + 20 = 30

a = 30 - 20

a = 10

Answer:

x = 14/p.

There can really be 2 answers that are both proportional and rational.

7 packages, 2 toys in each.

2 packages, 7 toys in each.

Answer:

x=  

6

43

​

Step-by-step explanation:

pasos  

4

3

​

x−5=  

8

3

Agrega 5 a ambos lados.

4

3

​

x=  

8

3

​

+5

Convertir 5 a la fracción  

8

40

​

.

4

3

​

x=  

8

3

​

+  

8

40

​

Como  

8

3

​

 y  

8

40

​

 tienen el mismo denominador, sume sus numeradores para sumarlos.

4

3

​

x=  

8

3+40

​

Suma 3 y 40 para obtener 43.

4

3

​

x=  

8

43

​

Multiplica los dos lados por  

3

4

​

, el recíproco de  

4

3

​

.

x=  

8

43

​

×(  

3

4

​

)

Multiplica  

8

43

​

 por  

3

4

​

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

x=  

8×3

43×4

​

Realiza las multiplicaciones en la fracción  

8×3

43×4

​

.

x=  

24

172

​

Reduzca la fracción  

24

172

​

 a su mínima expresión extrayendo y anulando 4.

x=  

6

43

​

Answer:

3.2

Step-by-step explanation:

8/100×40=3.2. This is how to find the sales tax.

Answer:

8000 (Estimated) and the real difference would be 7934

Step-by-step explanation:

An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation

Answer:

350

Step-by-step explanation:

in every 140 calories there is 8 ounces

what about in 20 ounce of drink

140 calories ___8 ounce

? 20 ounce

140×20 =2800÷8=350

Answer:

I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter