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

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

An equation is ____=540​
The solution is x=____

Answers

in figure

85+5n+5n+5n+5f+5n-10=540

20n+80=540

20n= 460

x=23

Bir otobüste bulunan 45 yolcudan
Buna göre bu otobüsteki yolcuların
18'i çocuktur.
yüzde kaçı çocuktur?

Answers

Step-by-step explanation:

bence 27 cunkku yuzd sordugu icin kolaylıklar dilerim iyi günler

In your own words describe the relationship between wave frequency and the energy of the wave!!! YOUR OWN WORDS please
**✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿**

Answers

Answer:

Hey! :)

Step-by-step explanation:

You could create a wave with a higher frequency on a rope by wiggling up and down at a faster rate, the wave should become shorter. Clearly you will find a relationship between wave length and frequency :)

*✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿**

Have a nice day! :)

This is the equation

5(15+3)

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The 5 would distribute into the 15+3 so that it would be (15x5)+(3x5)

And then you would get 75+15 which is 90

Find the common ratior for the geometric sequence and user to find the next three terms.
243, 162, 108, 72, ...

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

mom this u?

An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected? ​

Answers

Answer:

150,000.

Step-by-step explanation:

Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:

0.016 = 24

100 = X

100 x 24 / 0.016 = X

2,400 / 0.016 = X

150,000 = X

Thus, the total number of cameras that were inspected is 150,000.


The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers

Answers

This is an answer I wrote last year check it out I have it in my progress
6+2+2=10
6-2+2=6
6-2=4 and 2 times 2 is 4 so 6-2 is 2 more than the second number which is 2.

So the numbers are 6, 2 and 2.

PLEASE ANSWER WILL GIVE BRAINLIEST

Answers

Answer:

The answer is B

Step-by-step explanation:

V=lwh

3=15·15·20

3=1500

Pls help extra points and mark brainlist

Answers

Answer:

it is c none of the above

Step-by-step explanation:



If (y + 1) varies directly as square root of x and y =14 when x = 27, find the value of y when
x = 64 without finding the variation constant.​

Answers

Answer:

22.1 or 22

Step-by-step explanation:

Y + 1 varies√x

Y + 1 = K√x ( k is costant)

so we solve for K

given: 14 + 1 = K√27

15 = K√27

divide both sides by √27

15/√27 = K

to find the value of y

y + 1 = 15/√27 (8) : substitute K for 15/√27

Y + 1 = 120/√27

i.e Y = 120/√27 - 1

Y = 23.1 - 1

Y = 22.1 or 22

find the value of x and round to the nearest tenth (geometry)

Answers

Answer and Step-by-step explanation:

Just flip the triangle upside down, to make it look more sense.

   (Angle) 17

    |\

x   |  \ 47

    |__\

We will use the sine trig function to solve for x.

sin(17) = [tex]\frac{x}{47}[/tex]

Multiply by 47 to both sides.

47(sin(17)) = x

Now input into a calculator and solve.

x = 13.74147012

x ≈ 13.7 is the answer.

I NEED HELP ASAP. BRANLIEST TO BEST AND FASTEST!!!!!
a softball team has a budget of 200$ for visors. An athletic director pays $90 for 12 sun visors for the softball team. is there enough money in the budget to buy 15 more sun visors?

Answers

Answer:

No

Step-by-step explanation:

So if the director paid $90 for 12 visors, we need to find how much one cost so 90/12 = 7.5

Then to find the cost of 15 visors, multiply 7.5 by 15 to get 112.5

now add 112.5 to 90 to see if it stays within the budget of $200, 112.5 + 90 = 202.5, so NO there is not enough money in the budget to buy 15 more sun visors.

► Use what you learned to solve these problems.
The cost of a cross-stitch project is a function of the number of
skeins of embroidery floss it requires. The table shows the cost
of projects that use different amounts of embroidery floss What
is the equation of the linear function that models this situation?
Show your work
51125
$13.50
$1650
SOLUTION

Answers

13..hshdhdjjsjdjdjejejejejejejejejejdjdhehebddjdjdjd

Need to find the greatest common factor

Answers

Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

Step-by-step explanation:

Guys I suck at this stuff so can someone Just PLEASE HELP ME

Answers

Answer:

I only

Step-by-step explanation:

The others have irrational & unsolvable numbers!

Hope that helps!

A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.

Answers

Answer:

frequency= 165Hz

period= [tex]\frac{1}{165}[/tex]

Step-by-step explanation:

1. To calculate the frequency using the formula:

f = v/λ

where,

f=frequency (what the question asked)

v=speed of wave (given in the question=330m/s)

λ=wavelength (given in the question=2m)

SO,

[tex]f=\frac{330}{2}[/tex]

= 165Hz

2. To calculate the period use the formula:

since [tex]f=\frac{1}{T}[/tex]

therefore, [tex]T=\frac{1}{f}[/tex]

where,

f= frequency (what we solved above=165Hz)

T= period (what the question asked)

SO,

[tex]T=\frac{1}{165}[/tex]

use ⧍ABC and assume B = 90°.
2. Findcgiven m∠A=57° and a=22

Answers

Answer:

1

Step-by-step explanation:

Answer:    c = 14.287  approximately

==========================================================

Work Shown:

Refer to the diagram below. Note how side a is opposite angle A, and side c is opposite angle C.

tan(angle) = opposite/adjacent

tan(A) = a/c

tan(57) = 22/c

c*tan(57) = 22

c = 22/tan(57)

c = 14.2869670503452

c = 14.287

This value is approximate. Make sure your calculator is in degree mode

A server sees 90 customers over 6 hours. How many customers did they see in 1 hour? *

Answers

Answer:

They saw 15 customers per hour.

Step-by-step explanation:

Fifteen customers
Because its 90 divided by 6 basically

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

-1

Step-by-step explanation:

If you multiply x by -1 you will get the y value to be the negative of that number.

Hope this helps!!

Answer:

so first find what y equals then put the negative in front of it lol there is a pattern positive and negative

3,-3

4,-4

5,-5

6,-6

y,-y

Step-by-step explanation:

I WILL GIVE BRAINLIEST solve the question below

Answers

Answer:

[tex]J' = (-2,-4)[/tex]

Step-by-step explanation:

Given

The attached figure

[tex]J = (-3,-6)[/tex]

[tex]D_{o,\frac{2}{3}}(x,y)[/tex]

Required: Determine J'

The given transformation: [tex]D_{o,\frac{2}{3}}(x,y)[/tex] means that the quadrilateral is dilated by a scale factor or 2/3.

So, J' is calculated as:

[tex]J' = \frac{2}{3} * J[/tex]

[tex]J' = \frac{2}{3} * (-3,-6)[/tex]

[tex]J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)[/tex]

[tex]J' = (2*-1,2*-2)[/tex]

[tex]J' = (-2,-4)[/tex]

Hence, J' = (-2,-4)

Can you help me here pls thx very much What is 52% of 25

Answers

Answer:

13

Step-by-step explanation:

52% of 25 is 13. Write 52% as 52/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 52/100 of 25 = 52/100 x 25 so the answer is 13. Now if you’re using a calculator just do 52/100x25 which would give you 13 just using a different and faster way.

The radius of a quarter circle is 2 yards. What is the quarter circle's perimeter?

Answers

12.57.
The perimeter (circumference) of a circle can be found with either c= πd or c=2πr
(The d is diameter)

The ratio of cows to goats in a farm is 3:2 if there are 210 more cows than goats how many animals are there in the farm​

Answers

Answer: 350 animals altogether.

Explanation: We need to find the number of goats and add that to the 210 cows.

Since we have a ratio, we can use the equation 3/2=210/x.

Cross multiplying gives us 3x=420, where x is 140 goats.

Finally, 140+210=350.

Beth bought x pounds of grapes. Mary bought 4/9 less than that

Answers

Answer:

[tex]\frac{5x}{9}[/tex]

Step-by-step explanation:

Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]

10 POINTS
Which of the following situations can be represented by 145 ?
1. Renee has 14 feet of ribbon to that she will cut into 5 pieces of equal length.
2.Mike has 14 packs of trading cards with 5 in each pack.
3.Rama opens 5 bags of trail mix, which she will split equally into 14 bowls.
4.Payton takes 5 pencils from a box containing 14 pencils.

Answers

1 and 2 are the answers

Answer:

2

Step-by-step explanation:

3. represents 514

4. represents 514

Here again are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. At least one tattoo No tattoo Row Totals Age 18 - 29 170 320 490 Age 30 - 50 60 445 505 Column Totals 230 765 995 Which proportions are most useful in analyzing the relationship between age and tattoos? Group of answer choices 170 / 230 and 60 / 230

Answers

Answer:

1. 170/490 and 60/505

2. 320/490 and 445/505

Step-by-step explanation:

No options were given, but the question can still be answered

Given

[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]

Required

Which proportion best compares age and tattoos?

The row data represents the age range of each group while the column data represents the amount of tattoo by each group.

So, to make comparison:

You simply pick a cell data and compare it to the row total.

Take for instance

For those who have at least 1 tattoo. The proportion to use are:

170/490 --- For age range: 18 - 29

60/505 --- For age range: 30 - 29

For those without tattoo. The proportion to use are:

320/490 --- For age range: 18 - 29

445/505 --- For age range: 30 - 29

H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5

Answers

Answer:

f(x)=x^(2),[2,3]

-2x-h+3

Step-by-step explanation:

−4x+3y=2
3x−9y=3

yes or no


Answers

Answer:

NO

step by step

the answer is no

Can you guys please help!

Answers

Answer:

5 for the first and 4x for the second one also plz give heart

Step-by-step explanation:

i just know

How do I write this equation without fractions or decimals?
2-(3/4)x=2/5

Answers

multiply each side by 20
40 - 15x = 8
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