answer.
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
Luba_88
1 month ago
14

Dan gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smar

ties. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are smarties?
Give your answer in its simplest form.
Mathematics
1 answer:
Leona [12.6K]1 month ago
3 0

Response:

1/6

Detailed explanation:

Let

c -----> the count of cola bottles chosen by Dan

s -----> the count of smarties selected by Dan

m -----> the count of marshmallows selected by Dan

we have

c=3s -----> A equation

m=2s -----> B equation

we understand that

To determine the fraction of the sweet bag that consists of smarties, we must divide the number of smarties by the total amount of sweets

The overall number of sweets is calculated as

(c+s+m)

substituting equations A and B into the total sweets

(3s+s+2s) =6s

Calculate the fraction

s/6s

Reduce it

1/6

You might be interested in
Would $3.99$ million flies or $47,000,000$ ants have a greater mass? Approximately how much greater, in grams, would the greater
zzz [12365]

Answer:

Ants weigh approximately 118,615,000mg more.

Step-by-step explanation:

Based on a quick search, the average housefly weighs around 11.5mg, while an ant averages at 3.5mg. With these average weights, we can calculate the total weight of each species.

Flies: 3,990,000 * 11.5mg = 45,885,000mg

Ants: 47,000,000 * 3.5mg = 164,500,000mg

Consequently, it's clear that the 47 million ants possess a greater mass, specifically

164,500,000 - 45,885,000 = 118,615,000mg more

3 0
2 months ago
Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic
tester [12383]

Answer:

Ben could have sold a maximum of 6 turkey sandwiches.

Step-by-step explanation:

Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.

Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

2. 5 0 x + 3. 5 0 y \leq 3 0

4 veggie wraps were sold (y).

Thus, the inequality is: 2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 - 14

2.50x < 16

x

x

Ultimately, Ben could sell a maximum of 6 turkey sandwiches.

4 0
3 months ago
Read 2 more answers
Harry owes the bank money. To repay his debt, he paid \$150$150dollar sign, 150 back to the bank each month. After 101010 months
Zina [12379]


$8,400
Explanation:
Monthly repayment = $150
Total Months of repayment = 10 months
Remaining balance after 10 months = $6900
Cumulative payment = $150 × 10 = $1500
Balance remaining = $6900
Overall debt amount:
(Remaining amount + total repaid)
$(6900 + 1500)
7 0
2 months ago
1. X^4(dy/dx) +x^3y =- sec (xy)<br><br>Integral by separation of variables? <br>​
PIT_PIT [12445]

Answer:

Step-by-step explanation:

Considering the differential equation x^4(dy/dx) + x^3y = -sec(xy). We will solve it employing the method of separation of variables;

x^{4} \frac{dy}{dx} +x^{3}y = -sec(xy)\\x^{3}(x\frac{dy}{dx} + y) = -sec(xy)\\let \ v=xy\\\frac{dv}{dx} = x\frac{dy}{dx} + y(implicit \ in\ nature)\\

By substituting v and dv/dx into the previous equation, we acquire;

x^{3}\frac{dv}{dx} = -secv

We then separate the variables:

-\frac{dv}{secv} = \frac{dx}{x^{3} }

-cosvdv = x^{-3}dx\\ integrating\ both\ sides\\-\int\limits {cosv} \, dv = \int\limits {x^{-3} } \, dx\\-sinv = \frac{x^{-2} }{-2} + C\\since\ v = xy\\-sinxy = \frac{x^{-2} }{-2} + C\\2sin(xy) = x^{-2} -2C\\2 sin(xy) = \frac{1}{x^{2} } -K (where\ K = 2C)\\

The end expression provides the solution to the differential equation.

8 0
3 months ago
Other questions:
  • When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is t
    13·2 answers
  • Choose the correct item from each drop-down menu to factor the trinomial 6y2 + 19y + 15 by grouping.
    5·1 answer
  • Which expression is equivalent to StartFraction 3 x Over x + 1 EndFractiondivided by x + 1?
    6·1 answer
  • Amber is solving the inequality |X+6|- 12 &lt;13 by graphing. Which equations should Amber graph?
    15·1 answer
  • 1:
    7·1 answer
  • Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units,
    9·1 answer
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
    7·2 answers
  • Luke has 1/5 of a package of dried apricots. He divides the dried apricots equally into 4 small bags. Luke gives one of the bags
    5·1 answer
  • Zia is building a plastic model rocket that has the combined shape of a cone and a cylinder as shown. Additionally, the cylinder
    5·1 answer
  • Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from gro
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!