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
daser333 [38]
4 years ago
11

How much of a perfume that sells for $15 per ounce should be mixed with a perfume that sells for $35 per ounce to make a 3-oz bo

ttle of perfume that can be sold for $ 63?
Mathematics
1 answer:
n200080 [17]4 years ago
4 0
You have 2 different perfumes at 2 different prices that you have to mix to get a total of 3 ounces of a new perfume. A's amount of perfume needed is x, so B's amount of perfume needed is 3-x (cuz you can only have a total of 3 ounces). The amount A costs per ounce is 15 and the amount that B costs per ounce is 35. So multiply each amount by what it costs, add those together and set them equal to 63 (cuz your equation is based on money). 15x + 35(3 - x) = 63. Distribute the 35 into the parenthesis to get 15x + 105 - 35x = 63. Combine the x terms and move the 105 and solve for x to get that x = 2.1 ounces. You need 2.1 ounces of A and 1.5 ounces of B to get what you want.
You might be interested in
Janna jumped 156 inches in the long jum competition how many feet did Janna jump
yawa3891 [41]
1 foot=12 inches
Divide 12 from 156.
156÷12=13

Janna jumped 13 feet in the long jump competition, which is actually really good!
5 0
3 years ago
2 x 3 x 6 = 3 x 2 x 6<br><br> What property is this?
RoseWind [281]
Distributive Property
<span><span><em><u>The Distributive Property is easy to remember, if you recall that "multiplication </u></em></span><u>distributes</u><span><em><u> over addition". Formally, they write this property as "</u></em></span><span><u>a(b + c) = ab + ac</u></span><span><em><u>".</u></em></span></span>
6 0
3 years ago
Lily's car used 6 gallons of gas to drive 237 miles. At what rate does her car use gas in miles per gallon? Express your answer
iogann1982 [59]

Answer:

<u>39.5 miles/gallon.</u>

Step-by-step explanation:

6 gallons of gas used to drive 237 miles

The rate of her car uses gas in miles per gallon =

\frac{237 miles}{6 gallons} = \frac{237}{6} = 39.5 \ miles/gallons

Which mean the car will consume 1 gallon for each 39.5 miles.

7 0
3 years ago
(Chords and Arcs) Help pleaseeee!!!
n200080 [17]
X=10

Have an amazing day!
6 0
3 years ago
Read 2 more answers
What is the approximate value for the modal daily sales?
Aleksandr [31]

Answer:

Step-by-step explanation:

Hello!

<em>The table shows the daily sales (in $1000) of shopping mall for some randomly selected  days </em>

<em>Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 </em>

<em>Days 18 27 31 40 56 55 23 </em>

<em>Use it to answer questions 13 and 14. </em>

<em>13. What is the approximate value for the modal daily sales? </em>

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47

<em>A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 </em>

Of all options the closest one to the estimated mode is A.

<em>14. The approximate median daily sales is … </em>

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

Me= 3,100+400[\frac{125-116}{56} ]= 3164.29

<em>A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664</em>

Of all options the closest one to the estimated mode is C.

5 0
3 years ago
Other questions:
  • Given f (x) = 3/2x + 5 what is f (12)<br><br>help me please!​
    15·1 answer
  • What is 3 x -2? Please answer quickly!!!
    11·1 answer
  • A particular plant root grows 3.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 cen
    11·2 answers
  • Which sentence is true about a right triangle
    15·2 answers
  • Can someone round these to the nearest .1 <br><br> 1.602564102564103 <br><br> 2.380952380952381
    10·1 answer
  • For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)
    11·1 answer
  • X in 5xy = 10 to solve the system<br> below.<br> x = 25 - y<br> 5x + y =10
    12·2 answers
  • Soo how i do this its hard to simplify it
    6·2 answers
  • The number has over positive integer divisors. One of them is chosen at random. What is the probability that it is odd
    15·1 answer
  • thè speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given i
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!