A restaurant needs to set up 7 tables for the 34 member
of a high school science club. The restaurant has tables
that can seat 4 and tables that can seat 6. This system c
equations represents the combination of x, the number of
tables for 4, and y, the number of tables for 6, that will
exactly 34 people.
x + y = 7
4x + 6y = 34
How many tables that seat 6 should be set up?

Answer:

y = 5x

Step-by-step explanation:

Assuming you require the proportional equation

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when y = 30, x = 6 , then

30 = 6k ( divide both sides by 6 )

5 = k

y = 5x ← equation of proportion

Answer: 2350 milligrams of sodium are recommended for the whole day.

Step-by-step explanation:

Let x= Quantity of sodium are recommended for the whole day.

As per given, we have

20% of x = 470 milligrams

⇒ 0.20x = 470 milligrams  [20%=0.20]

[tex]\Rightarrow\ x=\dfrac{470}{0.20}[/tex]  [Divide both sides by 0.20]

[tex]\Rightarrow\ x= 2350[/tex]

Hence, 2350 milligrams of sodium are recommended for the whole day.

Answer:

23

Step-by-step explanation:

23

Answer:

-449.28

Step-by-step explanation:

I used a calculator

Answer:

Quadrant 3

Step-by-step explanation:

Quadrant 1- (Positive,Positive)

Quadrant 2- (Negative Positive)

Quadrant 3- (Negative,Negative)

Quadrant 4- (Positive,Negative)

Answer:

mark brainlest and the answers are in the doc

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

To simplify each term by factoring:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Answer:

third number = 4,

equation of y, y = 5x - 11

equation of n, n = 4x

equation of x, n + x + y =19

Step-by-step explanation:

so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19

10x = 30

x = 3.

Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11

15 - 11

4 = third number

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

Answer:

2.5=m

Step-by-step explanation:

20=3m+5m

combine like terms

20=8m

divide by 8 on both sides

2.5=m

Answer:

Step-by-step explanation:

Answer:

X=50

Step-by-step explanation:

Since a line equals 180 ( even if it's bisected- meaning there is a line through it ) and you know one side is 113, you subtract 113 from 180 to find the other side ----> 180-113= 67. so now you know the small right angle in the triangle is 67°

Then since a triangle also always equals 180° and now you know that one angle is 63 and the other is 67, you just subtract those from 180 to find the third angle ( which is x) -----> 180-67-63=50

So x=50

Hopefully this wasn't too confusing...

Answer:

Step-by-step explanation:

Given p = x²+6

We are to express (x²+6)-21 = 4x²+24 in terms of p

We need to rewrite the expression first

(x²+6)²-21 = 4x²+24

Factor out 4 from the right hand side;

(x²+6)²-21 = 4(x²+6)

Replace x²+6 with p

p²+21 = 4p

Collect like terms

p²-4p = -21

p²-4p+21= 0

Hence the required equation is p²-4p+21= 0

Answer: p^2-4p-21=0

Step-by-step explanation:

Did it on Khan :D

Answer:

C. 5 Shirts for $21

Step-by-step explanation:

I conclude this when I calculate the amount of money needed for a singular shirt in every "bundle" by using division.

First I calculated how much you'd have to pay for one shirt in the six-pack collection fo shirts, and I resulted in $4.25 for each shirt. The problem in number form is: 25.50÷6=4.24. By dividing the total with six you result in the singular price of the individual price of each shirt in the pack.

As for the other packs, my calculations resulted in $4.50 for the 4 shirts pack and $4.20 for the 5shirts pack.

Answer:

The formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Step-by-step explanation:

Given the sequence

[tex]8.7,\:8.4,\:8.1,\:7.8,\:7.5,...[/tex]

An arithmetic sequence has a constant difference d and is defined by:

[tex]\:a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]8.4-8.7=-0.3,\:\quad \:8.1-8.4=-0.3,\:\quad \:7.8-8.1=-0.3,\:\quad \:7.5-7.8=-0.3[/tex]

The difference between all adjacent terms is the same and equal to

[tex]d=-0.3[/tex]

The first element of the sequence is

[tex]a_1=8.7[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Therefore, the nth term is computed by:

[tex]a_n=-0.3\left(n-1\right)+8.7[/tex]            ∵ [tex]d=-0.3[/tex]

[tex]a_n=-0.3n+9[/tex]

Therefore, the formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Answer:

10x^2+8x+3

Step-by-step explanation:

Add 5x^2 and 5x^2 which is 10x^2

Add 3x and 5x which is 8x

add 4 and -1 which is 3

Final answer: 10x^2+8x+3

Hope this helps!

Answer:

C

Step-by-step explanation:

First, since y is less than or equal to x+4, that shows that it must be either C or D, because both of those regions are below the line x+4.

Next, since y is more than or equal to -3/2x-1, this shows that C is the answer.

We can also check by seeing the graph when x = 0. Notice that y = 0 is in the region C, and notice that 0 satisfies the 2 inequalities, because -1≤0≤4.

Answer:

The value of x is equal to 4. See explanation below:

Step-by-step explanation:

2x+11=14x-37

    -11        -11             -Subtract 11 from both sides: 11-11=0 | -37-11=-48

2x=14x-48

-14x  -14x                  -Subtract -14x from both sides: 14x-14x=0 | 2x-14x=-12x

-12x=-48                   -Divide both sides by -12: -12/-12=0 | -48/-12=4

------  -----

-12    -12

x=4                             -X is equal to 4

Check:

2x+11=14x-37

Substitute x for 4:

2(4)+11=14(4)-37

Solve:

2*4=8

8+11=14(4)-37

8+11=19

19=14(4)-37

14*4=56

19=56-37

56-37=19

19=19

So x does in fact equal 4.

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!!

Answer:

See below

Step-by-step explanation:

1)

Once

[tex]-3\sqrt{8} = -6\sqrt{2}[/tex], it is an irrational number because [tex]\sqrt{2}[/tex] is irrational.

[tex]2\sqrt{3}-\sqrt{27} = 2\sqrt{3}-3\sqrt{3}=-\sqrt{3}[/tex], it is an irrational number because [tex]\sqrt{3}[/tex] is irrational

2) In order to compare those two fractions put them in the same denominator.

Once

[tex]\dfrac{4}{13} = \dfrac{40}{130}[/tex]

[tex]\dfrac{3}{10} = \dfrac{39}{130}[/tex]

So,

[tex]\dfrac{39}{13} > \dfrac{40}{130}[/tex]

This is because, when two fractions have the same denominator, the larger number between them is the fraction with the lowest numerator.

Both are rational numbers because both denominator and numerator are integers.

Answer:

The amount of time Jill spent to do her homework  

= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is  

= 570 minutes x 1.5

= 855 minutes which equals to 14 1/4 hours

hope this helps

Answer:

Step-by-step explanation:

1) Time spent by Jack = Time spent by Jill * 1  1/2

                                [tex]= 9\frac{1}{2}*1\frac{1}{2}\\\\=\frac{19}{2}*\frac{3}{2}\\\\=\frac{19*3}{2*2}\\\\=\frac{57}{4}\\\\=14\frac{1}{4} hours[/tex]

2) Time spent by Jill = Time spent by Jack ÷  1 1 /2

                                 = 18 1/4 ÷ 1 1/2

                                 = 73/ 4 ÷ 3/2

                                 [tex]= \frac{73}{4} * \frac{2}{3}\\\\=\frac{73}{2}*\frac{1}{3}\\\\=\frac{73*1}{2*3}\\\\=\frac{73}{6}\\\\=12\frac{1}{6} hours[/tex]

3) Third number = Sum of three numbers - Sum of two numbers

Sum of two numbers = [tex]8\frac{2}{3}+8\frac{1}{6}\\[/tex]

                                   [tex]= \frac{26}{3} +\frac{49}{6}\\\\=\frac{26*2}{3*2}+\frac{49}{6}\\\\=\frac{52}{6}+\frac{49}{6}\\\\=\frac{52+49}{6}\\\\=\frac{101}{6}\\[/tex]

Third number = 22 8/15 - 101/6

                       [tex]= \frac{338}{15}- \frac{101}{6}\\\\= \frac{338*2}{15*2}- \frac{101*5}{6*5}\\\\= \frac{676}{30}- \frac{505}{30}\\\\= \frac{676-505}{30}\\\\= \frac{171}{30}\\\\=5 \frac{21}{30}\\\\= 5 \frac{7}{10}[/tex]

Answer:

48

Step-by-step explanation:

I solved the problem step by step on paper and got it right

the answer is 55

because there's a . in 7.3

and 55 is the higher number.

Answer:

This can vary. Are we doing 4 letter words, 5 letter, etc?

Step-by-step explanation:

Answer:

i do not

know the awnser but c would be 720 multiplied by its self 3 times the converted

Step-by-step explanation:

Answer:

Point Form:

(0,4)

Equation Form:

x=0,y=4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

y=3x+4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b

m = the slope

slope is rise over run or (y2-y1)/(x2-x1). We need to choose which y value is y2 and the corresponding x value is the x2. If -2 is y2, then:

x2 = -2

y1 = 1

x1 = -1

then plug in the values.

(-2-1)/(-2-(-1))

-3/-1 = 3

m =3

then plug in values for the first equation. you can use any point on the line.

y = 3x+b

4 = 3*0 +b

4=0+b

b = 4

then write it with out x or y

y = 3x+4

Answer: it costs 1/3 or 0.333... for one orange

X represents number of oranges

Y represents the cost

Answer:

true, false, true, false

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is correct

Answer:

1

Step-by-step explanation:

The reciprocal of 1 equals 1

1/4×4=1

1-1=0

Answer:

The answer is 8

Step-by-step explanation:

Multiply, add and subtract the top

Answer:

C) (5, ∞)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

According to the graph, we have a horizontal asymptote at y = 5. Therefore, the graph never actually touches/reaches the y-value 5. Therefore, 5 is not included in our range:

(5, ∞) or y ≥ 5

Answer:

</ is what I use for equal to or less than

4x </ 108 for the inequality

x </ 27

Step-by-step explanation:

Is that what you needed?

Equation:

4x=108

'x' being the number mentioned

Solved Equation: (isolate x)

4x/4=108/4

x=27

Plzz mark me brainliest, hope this helped.