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
allsm [11]
9 months ago
11

You are volunteering to help with the soccer team's Valentine's Day fundraiser. Each 16-ounce bag of nuts the team sold must inc

lude at least 60% chocolate-covered nuts inside.
However, instead of receiving a shipment of separated plain nuts and chocolate nuts, they delivered two large containers of mixed nuts. The first says it is 50/50 plain and chocolate covered. The second contains 80% chocolate-covered nuts.

The team is dismayed, but you come up with a solution. You suggest combining

ounces* of the 50/50 nuts with

ounces* of the 80% chocolate-covered nuts, to create the 60% mixture required for each bag.

*estimate

Then Bob, another student on the team says, "Wait, we promised at least 60%. So if we just do half and half, won't we be giving them at least 60%?"

Bob

correct.
Mathematics
1 answer:
vazorg [7]9 months ago
4 0

Proportionately, if they do half and half of 50% and 80% of the two bags, <u>Bob is correct</u>.

<h3>What is a proportion?</h3>

A proportion is a mathematical measure that compares two variables or numbers.

Proportions can be stated in percentages or ratios, as decimals or fractions.

<h3>Data and Calculations:</h3>

Content of 16-ounce bag of nuts = 60% chocolate-covered nuts

Content of first bag = 50/50 plain and chocolate-covered nuts

Content of second bag = 80% chocolate-covered nuts

A mixture of half of 50% bag with half of 80% bag will result in 65% (50% + 80%)/2.

Thus, since the promise for each 16-ounce bag is for at least 60% chocolate-covered nuts, <u>Bob is correct</u>.

Learn more about proportion at brainly.com/question/870035

#SPJ1

<h3>Question Completion:</h3>

Is Bob correct?

You might be interested in
Which of the following expressions could be used to find the perimeter of this figure?
Burka [1]

Answer:

A

Step-by-step explanation:

four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:

P= 4(18mm) + 2(24mm)

A

4 0
3 years ago
Read 2 more answers
In matrice find the transpose of (1 -3)(-2 4)
Marianna [84]

48 hope that helps

:)

8 0
3 years ago
HELP PLEASE&lt;3 <br> Find the missing angle <br> Btw its trigonometry
ira [324]

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279

which rounded to one decimal is

x = 16.6

6 0
3 years ago
If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f
ArbitrLikvidat [17]
Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

w² = 55.2

--- w = 7.429670248402684 ≈ 7.43 ft

--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft


4 0
2 years ago
Other questions:
  • The measure if one acute angle in a right triangle is 1 1/4 times the measure of the other acute angle. what is the measure of t
    13·1 answer
  • Solve these equations <br> |x+1/2|= 3<br><br> |x-3|=5 6/7<br><br> |3x+7|=5
    5·1 answer
  • Each cracker in the stack has a diameter of 2 inches. The height of the stack is 7.5 inches. What is the volume of the stack?
    5·1 answer
  • What are two`fractions whose product is -3/5
    9·1 answer
  • a 40 gram sample of a substance that's used for drug research has a k-value of 0.1446. find the substance's half life in days
    11·2 answers
  • Use the algebra tiles tool to model the equation 5x + (–6) = 6x + 4. What is needed to model the equation? Check all that apply.
    11·2 answers
  • How to write an equation of the line through the point (-2,1) that is perpendicular to the line 5x+9y=-9
    13·1 answer
  • PLEASE HELP I'LL GIVE BRAINLIEST
    5·1 answer
  • Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure o
    9·1 answer
  • After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the buc
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!