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
castortr0y [4]
3 years ago
8

A chef needs vinegar with an 8% acidity level to make her special sauerbraten. She only has two types of vinegar, one with an ac

idity level of 5% and the other with 12% acidity level. How many ounces of the 12% vinegar should she add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level
Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

She should add 30 ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.

Step-by-step explanation:

Let X be ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.

We have the equation

\frac{(X*0.12)+(40*0.05}{X+40} =0.08 when 8% acidity level is reached.

Solving the equation we have

X*0.12+2=0.08(X+40)=0.08X+3.2

That is 0.12X-0.08X=3.2-2=1.2

Finally 0.04X=1.2 and

X=30

You might be interested in
HELP!<br> Simplify this radical.
Usimov [2.4K]
The simplified answer to that radical is attached

5 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS QUESTION !!!
tatuchka [14]

Answer:

$700

Step-by-step explanation:

Given that:

Cost of desktop PC 10 years ago = $6000

Cost of desktop PC 2 years ago = $300

Linear model applies.

To find the rate of decrease per year, we need to find the slope.

One quantity is cost of PC here and second quantity here is number of years.

\text{Rate of decrease per year = }\dfrac{\text{Change in Price}}{\text{Change in Number of years}}

\Rightarrow \dfrac{6000-300}{10-2}\\\Rightarrow \dfrac{5700}{8}\approx \bold{\$700}

So, the answer is:

There is a decrease of <em>$700 </em>per year.

OR

Rate of decrease per year is <em>$700</em>.

7 0
3 years ago
Given points A (-5, 6) and B (7, -1), find: Distance, Midpoint, and Slope
a_sh-v [17]
We have that
<span>points A (-5, 6) and B (7, -1)

Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193  units

Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5

the midpoint is (1,2.5)

Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12

the slope m=-7/12
4 0
4 years ago
A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of informatio
blagie [28]

Answer:

The missing probability is, P (X = 7) = 0.24.

Step-by-step explanation:

The complete question is:

A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of information. Based on many results, the (partial) probability distribution below was determined for the discrete random variable (X = number of pieces of information remembered (during a fixed time period)).

What is the missing probability P(X=7)? Your answer should include the second decimal place.

X = # information | probability:

1 | 0.0

2 | 0.02

3 | 0.04

4 | 0.07

5 | 0.15

6 | 0.18

7 | ?

8 | 0.14

9 | 0.11

10 | 0.05

Solution:

The sum of the probabilities of all events of an experiment is always 1.

\sum\limits^{n}_{i=1}{P(X=x_{i})}=1

Use the above theorem to compute the missing probability.

\sum\limits^{n}_{i=1}{P(X=i)}=1

P(X=1)+P(X=2)+P(X=3)+...+P(X=10)=1\\0.00+0.02+0.04+0.07+0.15+0.18+a+0.14+0.11+0.05=1\\0.76+a=1\\a=1-0.76\\a=0.24

Thus, the missing probability is, P (X = 7) = 0.24.

8 0
3 years ago
30 points PLEASE HELP!!!!
Elenna [48]

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

8 0
3 years ago
Other questions:
  • Help please idk how to do it and plz show work
    14·1 answer
  • A rectangular board has a perimeter of 28 feet. if the length is twice the width minus 1 foot, then what is the length of the bo
    8·1 answer
  • Match the equation given in cylindrical or spherical coordinates with the verbal description of the surface it determines,
    14·1 answer
  • Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the e
    6·2 answers
  • If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
    10·1 answer
  • An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
    12·1 answer
  • Rasheed has a scale drawing of his house in which 1 inch on the drawing represents 4 feet in the house. In the drawing, the fron
    13·1 answer
  • PLS HELP ASAP ILL GIVE BRAINLY
    9·2 answers
  • Pease someone help me with this.
    9·2 answers
  • The function f is defined by f(x)=2x^2-1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!