A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?

Answers

Answer 1

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8


Related Questions

hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm ​

Answers

jawaban

a. = 112 cm²b. = 136 cm²

penjelasan langkah demi langkah( step by step explanation )

Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)

a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )

= 2 ( 32 + 8 + 16 )

= 2 × 56

= 112 cm²

b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )

= 2 ( 24 + 12 + 32 )

= 2 × 68

= 136 cm²

cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste​

Answers

Answer:

La longitud del alambre que sostiene el poste es 8.94 metros.

Step-by-step explanation:

La longitud del alambre se puede calcular usando Pitágoras:

[tex] L^{2} = P^{2} + B^{2} [/tex]                      

En donde:

L: es la longitud del alambre =?

P: es la altura del poste = 8 m

B: es la distancia del alambre al poste = 4 m

Entonces, la longitud del alambre es:

[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]  

Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.

                               

Espero que te sea de utilidad!

Find the value of z in parallelogram CDEF

Answers

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

The graphs below have the same shape. What is the equation of the blue graph? 

Answers

Answer:

c

Step-by-step explanation:

(5x³-7x²+3x-4)-(8x³+2x²+3x-7)​

Answers

Answer: =−3x^3−9x^2+3

Step-by-step explanation:

Distribute the Negative Sign:

=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)

=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)

=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7

Combine Like Terms:

=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7

=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)

=−3x^3+−9x^2+3

Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?

Answers

Answer:

4.9%

Step-by-step explanation:

The local news is conducting a poll of the residents' opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, what best applies?

Answers

Options :

a. The surveys are biased because people chose to respond or not.

b. Because of the large sample size, the results are most accurate of all members of the community.

c. The same sampling methods were used for both polls, demonstrating reliability.

Answer:

a. The surveys are biased because people chose to respond or not

Step-by-step explanation:

When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.

A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?

Answers

Add both distances together:

50 + 22 = 72 feet total distance.

What is the opposite of this integer: 180,000

Answers

Answer:

-180000

Step-by-step explanation:

1.45 to 4.35 as a simplified fraction

Answers

Answer:

1/45 = 0.02

4/35 =0.1  142857

Step-by-step explanation:

The expression of 1.45 to 4.35 as a fraction in its simplified form is 1/3.

What is a simplified fraction?

A simplified fraction is an improper fraction that can no longer be further divided by a divisor. An improper fraction is a fraction with both the numerator and the denominator.

From the information given, we are to express 1.45 to 4.35 as a simplified fraction.

i.e.

= 1.45 as a ratio of 4.35

= 1.45/ 4.35

= 1/3

Learn more about fractions here:

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Factor out the greatest common factor from –12a – 8a2.
Question 3 options:

A)

–4a(3 + 2a)

B)

2a(6 – 4a)

C)

–2a(6 + 4a)

D)

4a(3 – 2a)

Answers

Answer:

A  -4a(3 + 2a)

Step-by-step explanation:

-12a - 8a^2) factor out a -4

-4(3a + 2a^2) factor out an a

-4a(3 + 2a)

The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of

Answers

Step-by-step explanation:

Given

Area of a circle (A) = 641 ft²

Circumference (C) = ?

We know

πr² = 641

r² = 641 / 3.142

r² = 204

r = 14.28 ft

Now

Circumference

= 2πr

= 2 * 3.14 * 14.28

= 89.68 ft

Hope it will help :)

Answer:

The circumference is 89.68 ft.

Which of the following is the expansion of
(2x + 3)^3?

Answers

I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry

Answer:

8x^3 + 36x^3 + 54x + 27

Step-by-step explanation:

If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27

Simplify
3x- 2z+- 2z- 4z- 3z

Answers

Answer: hi

The answer will be 3x−11z

Step-by-step explanation:

have a great day ^_^

HELPPP WILL MARK BRAINLIEST!!!!!!!!!!!!


what is the miniumum value of y=x^2-4x+8

Answers

Answer:

2 is your answer lemme know if I'm right

Answer:

2

Step-by-step explanation:

The smallest value within that equation would be 2 since all of the other numbers are have more value than 2 does.

Find tan0 where 0 is the angle shown

PLEASE I NEED HELP

Answers

Answer:

tan = 12/5..............

a. Find the value of x
below

Answers

#The x side is same with 80° so

11x + 3 = 80°

11x = 80 - 3

11x = 77

x = 7

Answer : 7

Please help me with this question what’s 84 + 6 1/3

Answers

Answer:

90 1/3

Step-by-step explanation:

Answer: Mixed number form = 90 1/3

Decimal form = 90.3 with a repation bar

Actual Form = 271 / 3

Step-by-step explanation:

Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?

$___

Answers

The card value after its increase of 35% would be $2,700.

Can someone please help me with my homework

Answers

Answer:

Do not use, there's still one more piece of the puzzle missing.

X =

Step-by-step explanation:

Lets look everything over and compare the corresponding parts of the 2 triangles.

One side of each is shared between the two triangles.

Another side of each triangle is 13 on each triangle.

The included angle of one triangle is 80 degrees and the other is 110 degrees.

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

What is the equation for the line of reflection? ​

Answers

x=6

hopefully im not wrong^^

If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.

Answers

Answer:

All of what he had

Step-by-step explanation:

Answer: jimmy will have it all

Step-by-step explanation:

solve all 5 questions for 62 points if they are correct you will be marked brainiest

Answers

Answer:

1.0.003

2.40 minutes

3.a,e

4.a,c,d

5.1/24

Step-by-step explanation:

1.0.003 that’s the answer for this problem

Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.

Answers

Answer:

7.3 units is the answer rounded

When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.

What is distance formula?

The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.

This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.

We can use the distance formula to find the length of AB:

[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)

d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])

= sqrt([tex]7^2 + (-2)^2[/tex])

= sqrt(49 + 4)

= sqrt(53)

≈ 7.3 (rounded to one decimal place)

Therefore, the length of AB is approximately 7.3 units.

For more details regarding distance formula, visit:

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Diana received an inheritance of $3500 and plans to place all the money in a savings account that pays 3% compounded quarterly. How much money will be in the account in 10 years ?

Answers

Answer:

$36,050

Step-by-step explanation:

If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?

3% can also be turned in 3 divided by 100, I will be using that in my explanation.

3 divided by 100 : 0.03

you then multiply 0.03 by 3500 and you will get 105.

3% of the $3,500 is $105

$3,500 plus $105 is $3,605

You then have to multiply that answer by 10(years)

$3,605 times 10 is $36,050

Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL

Answers

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

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Please help me it hard

Answers

The mean is the average of all numbers so you add 9+8+12+6+10 and you get 45
Now count how many numbers there are or days which is 5

45 divided by 5 is 9

The answer is 9 pages per day

Hope this helps

multiply c by 9, then add 2 to the result

Answers

Answer:

9c+2

Step-by-step explanation:

Use distributive property for 3.2= 4/5(b - 5)

Answers

i hope this helps :)
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