Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?

Answer:

The volume is 112 cm³

Step-by-step explanation:

I think it's 112 because to find the volume of a rectangular prism you must multiply the length* width* height and 14 the base( base =legth*width) multiplied by 8 equals 112 cm³

Answer fast? What?

x + 2y = 17...Equation A

8x + 3y = 45...Equation B

Solve A for x.

x = 17 - 2y

Plug this into B to solve for y.

8(17 - 2y) + 3y = 45

136 - 16y + 3y = 45

136 - 13y = 45

-13y = 45 - 136

-13y = -91

y = -91/-13

y = 91/13

y = 7

To find y, plug x = 7 into either equation to find x.

I will use Equation A.

x + 2y = 17

x + 2(7) = 17

x + 14 = 17

x = 17 - 14

x = 3

Answer: x = 3, y = 7

The  solution to the system of equations is (x = 3) and  (y = 7).

To find the values of x and y that satisfy the given system of equations:

1.  (x + 2y = 17)

2. (8x + 3y = 45)

We can use either the substitution method or the elimination method. Let's use the elimination method to solve this system

Step 1: Multiply both sides of the first equation by 3 to make the coefficients of y in both equations the same:

(3x + 6y = 51)

Step 2: Now, subtract the modified first equation (3x + 6y = 51) from the second equation (8x + 3y = 45):

(8x + 3y) - (3x + 6y) = 45 - 51)

Simplify:

(8x + 3y - 3x - 6y = -6)

Step 3: Combine like terms:

(5x - 3y = -6)

Step 4: Now, we have two equations:

1. (x + 2y = 17)

2. (5x - 3y = -6)

Step 5: Now, you can either use the substitution method or the elimination method again to find the values of x and y. Let's use the elimination method again to eliminate y: Multiply the first equation by 3 and the second equation by 2 to make the coefficients of y the same:

1. (3(x + 2y) = 3 times 17)  =>  (3x + 6y = 51)

2. (2(5x - 3y) = 2 times -6)  =>  (10x - 6y = -12)

Step 6: Now, add the modified first equation (3x + 6y = 51) to the modified second equation (10x - 6y = -12):  (3x + 6y + 10x - 6y = 51 - 12)

Simplify: (13x = 39)

Step 7: Divide both sides by 13 to solve for x:

  (x = frac{39}{13})

    (x = 3)

Step 8: Now that we have the value of x, we can find the value of y by substituting it back into either of the original equations. Let's use the first equation:

(x + 2y = 17)

(3 + 2y = 17)

Step 9: Solve for y:

(2y = 17 - 3)

(2y = 14)

(y = frac {14}{2})

(y = 7)

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Answer:

It’s A 1 hour and 21 minutes

Step-by-step explanation:

Answer:

x = 23

y = 7

z = 11

Step-by-step explanation:

Since ∆PRS ≅ ∆CFH, therefore,

m<R = m<F

13y - 1 = 90° (substitution)

Add 1 to both sides

13y - 1 + 1 = 90 + 1

13y = 91

Divide both sides by 13

13y/13 = 91/13

y = 7

Since ∆PRS ≅ ∆CFH, therefore,

PS = CH

2x - 7 = 39 (substitution)

Add 7 to both sides

2x - 7 + 7 = 39 + 7

2x = 46

Divide both sides by 2

2x/2 = 46/2

x = 23

Since ∆PRS ≅ ∆CFH, therefore,

m<S = m<H

Find m<S

m<S = 180 - (m<P + m<R) (sum of ∆)

m<S = 180 - (28 + (13y - 1)) (substitution)

Plug in the value of y

m<S = 180 - (28 + (13)(7) - 1))

m<S = 180 - (28 + 91 - 1)

m<S = 180 - 118

m<S = 62°

Therefore, since m<S = m<H,

62° = 6z - 4 (substitution)

Add 4 to both sides

62 + 4 = 6z - 4 + 4

66 = 6z

Divide both sides by 6

66/6 = 6z/6

11 = z

The values of x, y, and z are;

x = 23

x = 23y = 7

x = 23y = 7z = 11

We are told that triangle PRS is congruent to triangle CFH.

Since both triangles are congruent, by inspection we can see that;

m<R = m<F

m<F is a right angle = 90°. Thus;

13y - 1 = 90

13y = 90 + 1

13y = 91

y = 91/13

y = 7

Also by inspection;

PS = CH

2x - 7 = 39

2x = 39 + 7

2x = 46

x = 46/2

x = 23

Since m<R is 90°, then;

m<S = 180 - (90 + 28)

m<S = 62°

By inspection;

m<S = m<H

Thus;

6z - 4 = 62

6z = 66

z = 66/6

z = 11

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Answer:

Step-by-step explanation:

1: Add 2 divide 3

2: -3

3:1

4:11

5:8

6:99

7:30

8: 70

9:10

10:2

Answer:

12.97.

Step-by-step explanation:

That is -0.4 + 0.35*38.2

= -0.4 + 13.37

= 12.97.

Answer:

Step-by-step explanation:

2(4z+3+3z)=174

7z+3=174/2=87

7z=87-3=84

z=84/7=12

WX=3z=3×12=36 units

Answer:

36 units

Step-by-step explanation:

[tex]2(4z + 3 + 3z) = 174 \\ \\ (7z + 3) = \frac{174}{3} \\ \\ 7z + 3 = 87 \\ \\ 7z = 87 - 3 \\ \\ 7z = 84 \\ \\ z = \frac{84}{7} \\ \\ z = 12 \: \\ \\ WX = 3z \\ \\ WX \: 3 \times 12 \\ \\ WX = 36\: units[/tex]

Answer:

X

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Since 30 and 45 are relatively small numbers, it's not a big deal to list every single one of their common factors.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

Now that we have a list, it's easy to see which number is the highest common factor, which is, of course, 15.

Answer:

HCF of 30 and 45 is 15.

Step-by-step explanation:

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 : 1, 3, 5, 9, 15, 45.

Common Factors : 1, 3, 5, 15

Highest Common Factor : 15

Answer:

Heres your answer y=x^2 +7x-30

Answer:

y=x^2 +7x-30

Step-by-step explanation:

Hope this helps

Answer:

The average rate of change is 0

Step-by-step explanation:

You don't really have to do any math for this problem. The vertex lies at the center of [-2,11] so it means that the slope going across the interval line (x=1) is 0. (i used desmos to graph it)

check image if u wanna do the work

Answer:

A: I assume that the equation 4x+2 has a greater rate of change.

B: The function F has a greater y intercept.

Step-by-step explanation:

Trend in the table is multiply the x by 3 then add 6.

Your equation would be y = 3x+6 for the table.

Answer:

Domain is... R

Range is... [-2, +unlimited)

Answer:

The bearing of the airport from the plane is 245°

Step-by-step explanation:

The bearing of a point from a location is given by the angle in degrees of rotation from the Northern direction of the location to the direction of the location of the point

The given bearing of the plane from the airport = 65°

Therefore, the direction of the plane from the Northern direction of the airport = 65°

From the Northern direction of the plane, the bearing of the airport = 245°

Answer:

54  iphones ,27 samsungs

81/3=27

27x2=54

81-54=27

Answer:

[tex]x\geq 0\\[/tex]

Step-by-step explanation:

Answer:

x = -200

Step-by-step explanation:

x + 75 = -125

Subtract 75 from both sides;

x = -200

Answer:

75 is the mice per year and 3 is the number of years

Step-by-step explanation:

Answer:

Step-by-step explanation:

I agree

Answer:

x=102.4

Step-by-step explanation:

5:32=16:x

x=102.4

Hope this helps plz hit the crown :D

Answer:

-1/7

Step-by-step explanation:

Mark me as brainliest

Answer:

m = 1/7

Step-by-step explanation:

(0 - 1)/(-7 - 0)

-1/-7 = 1/7

Answer:

Any time you take a binomial and multiply it to itself, you end up with a perfect square trinomial. For example, take the binomial (x + 2) and multiply it by itself (x + 2). The result is a perfect square trinomial.

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

[tex]\text {3*a=3a \rightarrow {3*4=12}}[/tex][tex]\text {3*a=3a}\\\text {3*4=12}[/tex]

[tex]\text {-5*a=-5a}\\\text {-5*-2=10}[/tex]

[tex]\text {Your New Problem Is: 3a+12+-5a+10=22}[/tex]

[tex]\text {\underline {The Next Step is to Combine Like Terms}}[/tex]

[tex]\text {3a+-5a=-2a}\\\text {12+10=22}[/tex]

[tex]\text {Your New Problem Is: -2a+22=22}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 22}}[/tex]

[tex]\text {-2a+22-22=22-22}[/tex]

[tex]\text {Your New Problem Is: -2a=0}[/tex]

[tex]\text {\underline {The Final Step is to Divide 2}}[/tex]

[tex]\text {-2a/2=0/2}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\huge\boxed {a=0}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

0

Step-by-step explanation:

3(a + 4) - 5(a - 2) = 22

3a + 12 - 5a + 10 = 22

-2a + 22 = 22

-2a = 0

a = 0

I hope this helps you :)

Answer:

the first is 75

and the second is 4

Answer:

ok

Step-by-step explanation:

Step-by-step explanation:

Subtract 485 and 650.75 and your answer is -165.75, so he is 165.75 dollars over budget.

Answer:

$165.75

Step-by-step explanation:

if ask for over budget so it's

$650-$485 = 165.75

Answer:

w = -3

Step-by-step explanation:

-23 = 13w + 2w + 22

Combine like terms (add 13w and 2w and subtract 22 from both sides)

-45 = 15w

Divide both sides by 15

w = -3