There are 16 tables in the school lunch room. Each table can seat 22 students. How many students can be seated at lunch at one time?

Hey there!!

Given equation :

... 3x - 2 + 5x = 4x + 5 - 2x

Combining like terms :

... 8x - 2 = 2x - 5

Subtracting 2x on both sides :

... 6x - 2 = - 5

Adding 2 on both sides :

... 6x = - 3

Dividing by 6 on both sides :

... x = -1/2 = -0.5

Hence, the answer is -0.5

Hope my answer helps!

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = [tex]\frac{105+x}{150+x} =85%[/tex]

Simplify to get

[tex]\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150[/tex]

Hence answer is 150 oz should be added.

Answer : option D

Find the solution of 7x = 35

To solve for x , we need to get x alone

so we divide by 7 on both sides

[tex]\frac{7x}{7} =\frac{35}{7}[/tex]

So x= 5

To verify the solution we plug in 5 for x in the given equation 7x= 35

x=5

We have, 7x= 35

7(5)= 35

35= 35

So verified

The solution of expression is,

D. x = 5; 7(5) = 35, 35 = 35

We have to give that,

An equation to simplify,

7x = 35

Now, Simplify the equation as,

7x = 35

Divide on both sides by 7,

7x/7 = 35/7

x = 5

Hence, The solution is, x = 5

And verify it as,

7x = 35

Put x= 5;

7 (5) = 35

7 × 5 = 35

35 = 35

Therefore, The solution is, x = 5

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The relation that is a function is that represented in the fourth graph. y = 2IxI

You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.

In other words, if we have two sets P and M.

A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.

To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.

By doing this test you will verify that only the fourth image represents the graph of a function.

To be a Pythagorean triple, the numbers must satisfy the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

so check:

[tex]45^2+28^2=53^2\\\\2025+784=2809\\[/tex]

and that holds, so the statement is TRUE

f(x) = x + 4   ; -4 ≤ x < 3

f(-4) = (-4) + 4

      = 0

f(3) = (3) + 4

     = 7

R: 0 ≤ y < 7    ⇒   [0, 7)

***************************

f(x) = 2x - 1   ; 3 ≤ x < 6

f(3) = 2(3) - 1

      = 6 - 1

       = 5

f(6) = 2(6) - 1

      = 12 - 1

      = 11

R: 5 ≤ y < 11   ⇒   [5, 11)

******************************

Now, put them together:   [0, 7) U  [5, 11)   = [0, 11)

Answer: B

answer is [0,11)

f(x) = x+4 is the first function

We plug in -4 for x  in f(x) = x+4

f(-4) = -4 + 4 = 0

So the graph starts at (-4,0)

Now plug in 3 for x  in f(x) = x+4

f(3) = 3 + 4 = 7

So the first function ends at (3,7)

Second function is f(x) = 2x - 1

We plug in 3 for x  in f(x) = 2x-1

f(3) =2(3)-1 = 5

So the second graph starts at (3,5)

We plug in 6 for x  in f(x) = 2x-1

f(6) =2(6)-1 = 11

So the second graph ends at (6,11)

3<=x<6 so 6 is excluded from x

The range of the following piece wise function is 0  to 11

answer is [0,11)

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, 1) and (4, 7). Substitute:

[tex]m=\dfrac{7-1}{4-2}=\dfrac{6}{2}=3[/tex]

[tex]\boxed{y-1=3(x-2)}[/tex]      point-slope form

[tex]\boxed{y=3x-5}[/tex]      slope-intercept form

[tex]\boxed{3x-y=5}[/tex]      standard form

Answer:

Now you can give brainliest to the person that answered the question

Step-by-step explanation:

cause the answer helped me

The absolute value inequality to represent the number of words Constraint is 470 ≤ X ≤ 530

Number of words required = 500

Error or deviation = 30

This means that :

Therefore, an absolute value which represents the acceptable number of words :

Minimum ≤ number of words ≤ maximum

Hence, the absolute value inequality for the number of words required is 470 ≤ X ≤ 530

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2.7 cm per second. Because it’s 161 divided by 60

It would be 3 cm per second. You need to divide the 161 cm/min by 60 (60 sec + 1 min) 161 / 60 = 2.68333.., which is rounded to 3 cm/sec.

0.23, 1/5, 19%

i believe that is correct

The Equation i did for this is  930 + -220= 710, I did a Negative on 220 is Because The Text States that it is "under" The Sea level.

The height of the lava that is measured from the sea level will be 710 feet.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward.

The height of the lava that is measured from the sea level will be given as the difference between the numbers 930 ft and 220 ft.

⇒ 930 - 220

⇒ 710 feet

The height of the lava that is measured from the sea level will be 710 feet.

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Answer:

The given equation which is in two variable is

 ⇒2 x + y =9

As we know that to get a unique solution you need two intersecting lines.

But here only one line is given.

On a single line there lie infinite number of points.

So, for different values of x we get different values of y or different values of y we get different values of x.

So , we can write the above equation as

either ⇒y=9-2 x Or x=9-2 y

I have drawn graph for you.

Thus , there are infinite number of solution of this equation. Like (0,9),(1,7),(2,5),(-2,13),(-1,11),(-3,15)......

4+3=7 and 7x2 is 14 so cooper has 14 and nando and jill have 7 total.

Answer:

Hi 14 goldfish

Step-by-step explanation:

The equation would be 4+3*2 and the final answer would be 14 goldfish

4x+9=2x−6

Step 1: Subtract 2x from both sides.

4x+9−2x=2x−6−2x

2x+9=−6

Step 2: Subtract 9 from both sides.

2x+9−9=−6−9

2x=−15

Step 3: Divide both sides by 2.

2x

2

=

−15

2

x=

−15

2

Answer:

x=-15/2

There are 5280 feet in a mile, so 900 feet = 900/5280

=  0.1705 miles to nearest 10,000th of a mile

Total distance =  3.25 + 0.1705

= 3.4205 miles

In miles, 3.420455

In feet, 18060.0024

Hope this helps :)

C. 16 is the answer.

The domain is all real numbers

The range is y<= 4

Choice C

Answer:

The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Step-by-step explanation:

The function is given to be :

f(x) = -(x + 3)(x - 1)

Domain : It is defined as a set of all points for which the function is real and defined.

Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :

Domain : All real numbers

Range : It is defined as a set of all values of dependent variable for which the function is defined.

Now, To find range of the given function :

As seen from the graph, the maximum value of the function is at (-1,4)

So, The range consists of all the values less than or equal to 4

⇒ Range : All real numbers less than or equal to 4

Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Answer:

7 x 10^3

Step-by-step explanation:

7 x 10 x 10 x 10

To find the value of the expression 7 x 10^3, multiply 7 by 10 raised to the power of 3 to get 7,000.

To find the value of the expression 7 x 103, you need to multiply 7 by 10 raised to the power of 3. When you raise a number to the power of 3, you multiply it by itself three times. In this case, you need to multiply 10 by itself three times, which gives you 1000. So, the value of 7 x 103 is 7,000.

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Here are you're answers:

Number sentence: 25 - 14 = 11

Word sentence: twenty-five minus fourteen equals eleven

The three boxes:

11

25 14

Hope this helps!

Answer: The relative change from Bloomington to Kokomo  is $ 93

Step-by-step explanation:

Since, the price of Bloomington = $ 747

And, the price of Kokomo = $ 654,

Thus, the relative changes in the price of Bloomington to Kokomo

= The price of Bloomington - the price of Kokomo

= 747 - 654

= 93

Hence the required relative change from Bloomington to Kokomo is $ 93.

Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .

Step-by-step explanation:

Since we have given that

Distance he covered by swimming = 25 yards

Time taken by him = 3 seconds

[tex]\text{Speed of his swimming} =\frac{Distance}{Time}\\\\ \text{Speed of his swimming} =\frac{25}{3}[/tex]

Now, if he covers 200 yards , the change of time will be

[tex]\text{Time taken}=\frac{Distance}{Speed}\\\\\text{Time taken}=\frac{200}{\frac{25}{3}}\\\\\text{Time taken}=\frac{200\times 3}{25}\\\\\text{Time taken}=8\times 3\\\\\text{Time taken}=24 seconds[/tex]

Hence, he takes 24 seconds which represents change in time of his personal best after 200 yards .

In decimals, the tenths place is  right after the decimal point. Therefore, the value of the digit in the tenths place of 0.88 is 8.

The rate John is saving is 25. How? You can do 160-110 (to find difference). After this, you will get 50. You can now divide this by 2 (because the problem says two months), which is 25. You can see if this is correct by adding 25 to 110 two times.

110 + 25

= 135

135+25

=160

John is saving money at a constant rate is $25.

Given that, suppose he initially has $110 saved and after 2 months he has $160 saved.

The definition of a rate is a quantity measured and compared to another quantity measured (such as a number of miles per hour) or is the cost of something.

Now, money saved=160-110=$50, time 2 months

Rate of money per month=50/2=$25

Therefore, John is saving money at a constant rate is $25.

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The slope of the linear function that the table represents is one

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a table in which [x] represents the age in years of a collectible baseball card, and [y] represents its value in dollars.

We have the following table -

Cards age [x]                 5                      10                      15                    20    

Value in dollars [y]      $0.75               $5.75                $10.75            $15.75

We can calculate the slope of the linear function as -

m = (5.75 - 0.75)/(10 - 5)

m = 5/5

m = 1

Therefore, the slope of the linear function that the table represents is one.

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[Refer to the image for full question]

Express the radius of the Sun as a proportion to radius of Earth:

695500/6378 = 109.04...

Now if a baseball would represent Earth, the model for Sun would have to be about 110 times larger than a baseball. A baseball is about 3" in diameter, so the model for Sun would have to be about 330" (or 27 feet) in diameter.

The answer should be no it is not reasonable to use baseball as a model for the Earth because the Sun would need to be about the size of a hot air balloon!

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10