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
postnew [5]
3 years ago
12

On Wednesday 34 of the customers who bought gas at a gas station made additional purchases. There were 120 customers who bought

gas. How many of these 120 customers also made additional purchases?
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

86

Step-by-step explanation:

You might be interested in
Write the function that shows a translation of f(x) two units to the left.
Galina-37 [17]

Answer:

Step-by-step explanation:

Suppose the base formula is y = x^2

You want to go two units left.

basically that is y = (x + 2)^2 just the opposite of what you might think it should be.

Where does the base function have a minimum? It's minimum is as x = 0 and y = 0

Where does y = (x + 2)^2 have it's minimum?

(-2,0)

conclusion. The base function has moved 2 units to the left.

3 0
3 years ago
At the baseball stadium, the price for popcorn is $5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost?
4vir4ik [10]
The answer will be $13.72 for 7 bags of popcorn.

to find this answer, you first take 5.88 and divide it by 3 to find out how much one bag costs.

the answer to 5.88/3 is 1.96, so you multiply 1.96 by 7 to get the answer of how much 7 bags of popcorn will cost.

hope this helps!
4 0
3 years ago
Read 2 more answers
How do I find the integral<br> ∫10(x−1)(x2+9)dxint10/((x-1)(x^2+9))dx ?
defon
\int\frac{10}{(x-1)(x^2+9)}\ dx=(*)\\\\\frac{10}{(x-1)(x^2+9)}=\frac{A}{x-1}+\frac{Bx+C}{x^2+9}=\frac{A(x^2+9)+(Bx+C)(x-1)}{(x-1)(x^2+9)}\\\\=\frac{Ax^2+9A+Bx^2-Bx+Cx-C}{(x-1)(x^2+9)}=\frac{(A+B)x^2+(-B+C)x+(9A-C)}{(x-1)(x^2+9)}\\\Updownarrow\\10=(A+B)x^2+(-B+C)x+(9A-C)\\\Updownarrow\\A+B=0\ and\ -B+C=0\ and\ 9A-C=10\\A=-B\ and\ C=B\to9(-B)-B=10\to-10B=10\to B=-1\\A=-(-1)=1\ and\ C=-1

(*)=\int\left(\frac{1}{x-1}+\frac{-x-1}{x^2+9}\right)\ dx=\int\left(\frac{1}{x-1}-\frac{x+1}{x^2+9}\right)\ dx\\\\=\int\frac{1}{x-1}\ dx-\int\frac{x+1}{x^2+9}\ dx=\int\frac{1}{x-1}-\int\frac{x}{x^2+9}\ dx-\int\frac{1}{x^2+9}\ dx=(**)\\\\\#1\ \int\frac{1}{x-1}\ dx\Rightarrow\left|\begin{array}{ccc}x-1=t\\dx=dt\end{array}\right|\Rightarrow\int\frac{1}{t}\ dt=lnt+C_1=ln(x-1)+C_1

\#2\ \int\frac{x}{x^2+9}\ dx\Rightarrow  \left|\begin{array}{ccc}x^2+9=u\\2x\ dx=du\\x\ dx=\frac{1}{2}\ du\end{array}\right|\Rightarrow\int\left(\frac{1}{2}\cdot\frac{1}{u}\right)\ du=\frac{1}{2}\int\frac{1}{u}\ du\\\\\\=\frac{1}{2}ln(u)+C_2=\frac{1}{2}ln(x^2+9)+C_2

\#3\ \int\frac{1}{x^2+9}\ dx=\int\frac{1}{x^2+3^2}\ dx=\frac{1}{3}tan^{-1}\left(\frac{x}{3}\right)+C_3\\\\therefore:\\\\\#1;\ \#2;\ \#3\Rightarrow(**)=ln(x-1)+C_1-\frac{1}{2}ln(x^2+9)+C_2-\frac{1}{3}tan^{-1}\left(\frac{x}{3}\right)+C_3

\boxed{=ln(x-1)-\frac{1}{2}ln(x^2+9)-\frac{1}{3}tan^{-1}\left(\frac{x}{3}\right)+C}



4 0
3 years ago
A) Write ²
I am Lyosha [343]

Answer:

see explanation

Step-by-step explanation:

(a)

x² - 2x - 4

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 2x

= x² + 2(- 1)x + 1 - 1 - 4

= (x - 1)² - 5

with c = - 1 and d = - 5

(b)

x² - 2x - 4 = 0 ← using result from (a) , that is

(x - 1)² - 5 = 0 ( add 5 to both sides )

(x - 1)² = 5 ( take the square root of both sides )

x - 1 = ± \sqrt{5} ( add 1 to both sides )

x = 1 ± \sqrt{5}

5 0
2 years ago
Is the sum of two negative numbers positive or negative
a_sh-v [17]
No, the sum of two negative numbers<span> can never be </span><span>positive</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • The equation of line m is 3x−5y=−4
    5·1 answer
  • Write the equation in slope-intercept form that contains the following point and is perpendicular to the given line
    12·1 answer
  • Write inequalites to describe the region. The solid cylinder that lies on or below the z=8 and or above the disk in the xy-plane
    13·1 answer
  • Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
    11·1 answer
  • Nathan usually drinks 36 ounces of water per day. He read tha the should drink 64 ounces if water per day. If he starts drinking
    6·1 answer
  • Tall Which of the is equal to 64 inches 10.1) @ 4 fl © 6 ft
    14·1 answer
  • indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer
    14·1 answer
  • on the first play of a game , a football team gained 23 yards and then lost 10 yards due to penalty during the second play the t
    9·1 answer
  • Helpppppp!!!!!!!!!!and explain too
    11·1 answer
  • If 30 is the total number of starbursts in a bag, how many starbursts are 70% of the bag?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!