A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables
seat 6. Let x represent the number of large tables and y represent the number of small tables. The
expression 10A +6B, which represents the total number of people you can seat using a large tables and
B small tables, is called a linear combination. For instance, 150 people could be seated using 3 large
tables and 20 small tables. Use that expression to enter an equation in standard form that models all the
different combinations of tables the restaurant could use. Then identify at least one possible combination
of tables other than (3, 20).
The equation is
Another possible combination is
).

Answer: -2

Explanation 》》》》》》》》》》

4×(2×2+2×-2)-2

=4×(4-4) -2

=4×0 -2

= -2

Step-by-step explanation:

hello just came here to get likes

Answer:

Ruby is 11. Tanya is 14.

Step-by-step explanation:

Let Ruby's age eight years ago be x.

Tanya's age eight years ago = 2x.

Ruby's age now = x + 8

Tanya's age now = 2x + 8

Total age = [tex]x+8+2x+8=25[/tex]

[tex]3x+16=25[/tex]

Subtract 16 from both sides:

[tex]3x+16-16=25-16[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3} =\frac{9}{3}[/tex]

[tex]x=3[/tex]

Ruby's age now [tex]=x+8=3+8=11[/tex]

Tanya's age now [tex]=2x+8=2(3)+8=6+8=14[/tex]

Answer:

Tanya is 14; Ruby is 11.

Step-by-step explanation:

Let T represent Tanya's current age and let R represent Ruby's current age.

We know that their ages add up to 25. So:

[tex]T+R=25[/tex]

8 years ago, Tanya was twice as old as Ruby. In other words, Tanya's current age minus 8 is the same as Ruby's current age minus 8 times 2. So:  

[tex]T-8=2(R-8)[/tex]

We have a system of equations. We can solve by substitution. From the first equation, subtract R from both sides:

[tex]T=25-R[/tex]

Substitute this into the second equation:

[tex](25-R)-8=2(R-8)[/tex]

On the left, subtract. On the right, distribute:

[tex]17-R=2R-16[/tex]

Add 16 to both sides. The right side cancels:

[tex]33-R=2R[/tex]

Add R to both sides. The left cancels:

[tex]33=3R[/tex]

Divide both sides by 3:

[tex]R=11[/tex]

So, Ruby is currently 11 years old.

So, Tanya is currently 25-11 or 14 years old.

Check:

8 years ago, Ruby was 11-8 or 3 years old.

8 years ago, Tanya is 14-8 or 6 years old.

Tanya's age of 6 is 2 times Ruby's age of 3 so our answer is correct.

AR:AB = 1/5 means that AR has length equal to 1/5 of the length of AB.

To find the x coordinate of R, you take 4/5 of the x coordinate of A plus 1/5 of the x coordinate of B:

4/5 * 1 + 1/5 * 4 = 8/5

You do the same for the y coordinate:

4/5 * (-1) + 1/5 * 4 = 0

So the point R has coordinates (8/5, 0).

Answer:

12.5 pulgadas

Step-by-step explanation:

31,75 cm * (1 pulgada)/(2,54 cm) = 12.5 pulgadas

Answer:

She can make 20 baskets in 5 hours

Answer: yes it is a solution

Step-by-step explanation: 2x+3>5 -> x>1

Answer:

NOTE: “×” means false.

“✓” means true.

Answer:

A) 3²·3³

E) 3^4·3^1

Step-by-step explanation:

When multiplying numbers with exponents, keep the base the same and add the exponents.

So A and E would equal 3 to the fifth power.

Answer:

A & D

Step-by-step explanation:

3^5 = 243

The only other equations that also equal 243 are A & D.

You can also break the exponent up.

(Ex: The exponent is 5. You can split it by having 1 & 4 or 2 & 3)

(Ex continued: The number 3 must be the base number though.)

Answer:

B is not true

Step-by-step explanation:

Answer:

What work are you referring to

Step-by-step explanation:

4(7)-6,6(7)-20

28-6,42-20

22,22

22/22

=1

4(2)-6,6(2)-20

8-6,12-20

2,-8

-8/2

=-4

Answer:

Its B

Step-by-step explanation:

Answer:

isnt it called the focus thats what i think

Step-by-step explanation:

We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.

6ft * 18ft = 108^ft

Now, let's find the area of the square tiles. To find the area of a square, simply square one side.

(2/3ft)^2 = 4/9ft^2

To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.

108ft^2 / (4/9ft^2) = 243 tiles

Answer:

2) twice the momentum

Step-by-step explanation:

p=mv

momentum had a directly proportional relationship to mass, what this means is that if you somehow increase the mass of the object twice the momentum will also increase twice, if the mass decreases by 5 times the momentum will also decrease by 5 times. Therefore, since the 10 kg object is twice the mass of the 5 kg object, so is its momentum relative to the 5 kg object. (5×2=10) 2p=2m

Answer:X would be -12

Step-by-step explanation: -12-10=-22

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

I misread the question so I am removing my answer.

Answer:

I think the answer is 20 percent

Step-by-step explanation:

if 80 is 100% than you have to make 30 a %

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

If  point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres

41 guests / 8 plates = 5.125 packs

Since you cant buy .125 of a pack, Mary jane has to purchase 6 packs.

Answer:

Step-by-step explanation:

41 guests     =  5.125 packs

8 plates

5 x 8 = 40 plates

6 x 8 = 48 plates

therefore Mary Jane should buy the 6 packs more than enough for her 41 guests.

Answer:

224.4

Step-by-step explanation:

102x2.2=224.4

Could I please have Brainliest.

Answer:

Exact Form:

[tex]7^{35}[/tex]

Decimal Form:

3.78818692 x [tex]10^{29}[/tex]

I hope this helped! :) If this is correct please give me brainliest!