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
Andrei [34K]
3 years ago
7

a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con

tains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?​
Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

  • 273 mL of 5%
  • 117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

You might be interested in
in the state of manie,the ratio of moose to people is 5 to 2.If a certain county in Maine has a population of 1,120 people, how
viva [34]
Where is the state of "manie"?
3 0
2 years ago
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o
alexira [117]

Answer:

(1,3)

Step-by-step explanation:

edge 2020

6 0
3 years ago
Read 2 more answers
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
2 years ago
An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost
bonufazy [111]

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

8 / 2 = 4

8 0
3 years ago
Two jet planes simultaneously started travelling in opposite directions from the same airport. Four hours later they were 3800 m
alexira [117]

Answer:

Step-by-step explanation:

let the speed of one plane=x

speed of other plane=x+80

time=4 hrs

then 4x+4(x+80)=3800

4x+4x+320=3800

8x=3800-320

or 8x=3480

x=435

speed of one plane=435 m/h

speed of other plane=435+80=515 m/h

2.

Let he walks x hrs

then he take a taxi for 2-x hrs

4x+(2-x)50=31

4x+100-50x=31

-46x=-69

x=\frac{-69}{-46}=\frac{3}{2}

so he walks 3/2 hrs=1.5 hrs

travels by taxi=2-1.5=0.5 hrs

distance traveled by taxi=0.5×50=25 miles

8 0
3 years ago
Other questions:
  • How much alfalfa does Helmut need to add to 30L of ostrich pellets to make a feed mix that is 40% alfalfa by volume?
    11·1 answer
  • Whats 16 divied by 1 over 4?
    5·2 answers
  • When a grizzly bear hibernates, its heart rate drops to 12 heartbeats per minute which is 20% of its normal value. What is the g
    9·2 answers
  • Work out the percentage change to 2 decimal places when a price of £99 is increased to £111.
    15·1 answer
  • Solve the compound inequality 6b &lt; 36 or 2b + 12 &gt; 6 <br>​
    5·1 answer
  • What are the common factors of 20w and 40w
    15·1 answer
  • What's the answer for (-4)(-2)-6(2-5)
    7·2 answers
  • Researchers are conducting a survey about what brand of ice cream shoppers prefer. They survey the tenth person who walks into t
    10·2 answers
  • Can someone help me with problem 6 and 7? Please explain I am confused
    15·1 answer
  • Another four sotuation<br> Please answer all the questions<br> I give 35 points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!