1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
igomit [66]
3 years ago
15

2/9 of the people on the restaurant are adults. If there are 95 more children than adults, how many children are there in the re

staurant?
Mathematics
1 answer:
yan [13]3 years ago
7 0
A: Adults
C:children
P: people
A= 2/9 P
C= A+95
P= A+C
= 2/9P + 2/9P+95
= 4/9 P+95, add -4/9P for both sides (same terms, same sides:))
P- 4/9P= 95
5/9P= 95
P= 171 people in the restaurant
Adult= 2/9*171= 38 Adults
Children= 38+95= 133 children
You might be interested in
121 bricks in 16.5 minutes 22 brings in m minutes
Westkost [7]
Use a proportion.

121/16.5 = 22/m

121m = 16.5 * 22

11m = 16.5 * 2

11m = 33

m = 3

3 minutes.
4 0
3 years ago
if the farm has 30 chickens and cows and there are 82 chickens and cow legs all together how many cows would the farm have?
Allushta [10]
11 cow and 19 chicken 11*4=44 19*2=38 38+44=82
3 0
2 years ago
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
Montano1993 [528]

Answer:

11/2??????

Step-by-step explanation:

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%203log_%7B3%7D%285%29%20%20%5Ctimes%20%20log_%7B3%7D%284%20%29%20" id="TexFormula1" title=" 3
olga nikolaevna [1]

Answer:

log3 (500)

Step-by-step explanation:

3 log3 (5) * log3(4)

We know that a log b(c) = log b(c^a)

log3 (5)^3 * log3(4)

We know that log a(b) * log a (c) = loga( b*c)

log3 ((5)^3 * 4)

log3 (125*4)

log3 (500)

8 0
3 years ago
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Darina [25.2K]

Answer:

Given definite  integral as a limit of Riemann sums is:

\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Step-by-step explanation:

Given definite integral is:

\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}

Substituting (2) in above

f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

Riemann sum is:

= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]

4 0
3 years ago
Other questions:
  • A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-axis and sales (1,000 dollars)
    15·2 answers
  • What is the perimeter of RSTUV?
    13·1 answer
  • A painter leans a 13ft ladder against a house. The base of the ladder is 5ft from the house. How high on the house does the ladd
    13·1 answer
  • What is 4 over 25 as a decimal
    9·1 answer
  • There are 300 students. for every 8 are boys, and for every seven are girls. how many boys?
    11·1 answer
  • The sum of two numbers is 13. Two times the first number minus three times the second number is 1. If you let x stand forbthe fi
    6·1 answer
  • 4x+x+6=11x-6x+6 what is the value for x
    10·1 answer
  • Write an inequality comparing 3/4 and 2/4.
    10·1 answer
  • When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a
    11·1 answer
  • Bearing a to b is 280 what is bearing b to A
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!