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KonstantinChe [14]
3 years ago
10

A new mixture of​ self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 90

0 ounces of everyday moisturizing lotion for ​$0.90 per ounce with​ self-tanning lotion worth ​$33 per ounce. If the new​ self-tanning & moisturizing lotion mixture is to cost $1.60 per​ ounce, how many ounces of the​ self-tanning lotion should be in the​ mixture?
Mathematics
1 answer:
butalik [34]3 years ago
7 0
I don't know but i need points so thanks
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Can someone help with this problem?
quester [9]

Answer:

0.3

Step-by-step explanation:

4 0
3 years ago
The automobile assembly plant you manage has a Cobb-Douglas production function given by p = 10x^0.2 y^0.8
Zepler [3.9K]

Answer:

The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

This value of Δy is not constant for a constant increase in production.

Step-by-step explanation:

We know that the production function is p = 10x^{0.2} y^{0.8}, and in the current situation p=1200 and x=130.

With this information we can calculate the actual budget level:

p_0 = 10x^{0.2} y^{0.8}\\\\1200=10*130^{0.2} y^{0.8}\\\\1200=26.47*y^{0.8}\\\\y=(1200/26.47)^{1/0.8}=45.33^{1.25}=117.62

The next year, with an increase in demand of 100 more automobiles, the production will be p_1=1300.

If we calculate y for this new situation, we have:

y_1=(\frac{p_1}{10x^{0.2}} )^{1.25}=(\frac{1300}{26.47} )^{1.25}=49.10^{1.25}=130

The budget for the following year is 130.

The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

\Delta y=y_1-y_0=130.00-117.62=12.38

This value of Δy is not constant for a constant increase in production.

3 0
3 years ago
At the spring dance there were 23 more students than 6 times the number of teachers. There were 215 students that attended the d
Mademuasel [1]

Answer: There were 32 teachers.

Step-by-step explanation:

(215 - 23)/6 = amount of teachers

215 - 23 = 192

192/6 = 32

8 0
3 years ago
Read 2 more answers
A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the pr
Morgarella [4.7K]

Answer:

4/75

Step-by-step explanation:

We have two sample spaces

1.Lottery balls

2. Month of the year

For lottery balls the sample space is S= 50

Multiples of 3 between 1 and 50 are

(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

Hence the probability of choosing a multiple of 3

Pr(multiple of 3) = 16/50= 8/25

Also the sample space for months of the year is S= 12

Two months starts with letter m, March and may

Pr(of months with m) = 2/12= 1/6

the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

6 0
3 years ago
If ∠C and ∠D are vertical angles and m ∠ C = x + 5 and m ∠ D = –2x + 80, what is m ∠ C?
amm1812

Answer:

m∠C=30°

Step-by-step explanation:

we know that

<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal

so

m∠C=m∠D

substitute the given values

(x+5)\°=(-2x+80)\°

Solve for x

x+2x=80-5\\3x=75\\x=25

<em>Find the measure of angle C</em>

m∠C=(x+5)°

substitute the value of x

m∠C=(25+5)=30°

3 0
3 years ago
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