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Korolek [52]
3 years ago
5

Five cakes cost £3.50. How much do seven cakes cost?

Mathematics
2 answers:
Nata [24]3 years ago
8 0
3.50/5 = .70
.70x7 = 4.90
so 7 cakes cost 4.90 pounds.
ipn [44]3 years ago
3 0
You Multiply and you'll get 4.90
You might be interested in
The owner of a maple syrup farm is studying the average winter temperature in Fahrenheit and the number of gallons of maple syru
frosja888 [35]

Answer:

Step-by-step explanation:Maple Syrup: New Producers and Hobbyists

A chance for first time sugarer to learn the basics.

Save For Later Print

Maple Syrup: New Producers and Hobbyists - Articles UPDATED: NOVEMBER 10, 2011

Maple Syrup: New Producers and Hobbyists

General Overview

Maple sugaring can be very enjoyable; however, it is labor intensive, especially for the small scale producer or hobbyist because the equipment is smaller. If a hobbyist has access to healthy, tappable sugar maple trees, the first consideration is the ability and time to evaporate the sap to finished syrup. You must be honest with yourself about the amount of time you not only have available but are willing to spend evaporating. The syrup will run when the weather is right, not when it is most suitable to you. You may have numerous good runs during a one or two month sugaring season. Unless you pull the taps early or dump some runs, you will have to process them all. Sap can only be stored for a limited period of time before spoilage. Spoilage occurs faster during good runs because the weather is warm (usually 40 degrees or more). Sap is essentially a light sugar solution that is wonderful microbe food. If you work on a farm, in your own business, or can work your schedule around good runs, then sugaring may be for you. Many dairy producers and farmers are also sugarers because this works well with their schedule.

Getting Your Feet Wet

Alternative 1

Hobby maple syrup operations can vary greatly in size. For a producer that taps 10 trees or less, a pair of very large cooking pots may be sufficient to handle your evaporation. This method is slow and is best suited to someone that wants to learn about sugaring. Remember that 10 trees may make 20 gallons of sap in a good run and unless you have really big pots (apple butter or butcher kettles) or alot of time, production may be slow. A flat evaporating pan, which larger operations would us as a "finishing pan," will substantially increase your rate of evaporation in pots. These pans can be purchased new or used from a sugaring equipment supplier or manufactured by a sheet metal worker. A hobbyist should try a small-scale operation for at least a year before considering the large investment necessary to start even a small sugaring business.

Alternative 2

If you live in a maple sugaring area, you may be able to tap trees and sell the sap to a neighboring producer. A producer that wants to increase production may be willing to buy sap instead of adding taps. The purchase price will be low (in the range of $0.10 to $0.70 per gallon); however, you can develop a good collection network and perfect this end of the business prior to investing in evaporation equipment.

Sugaring season may start as early as late-January. The primary trigger for good sap flow is warm days and freezing cold nights. Either ask your local Extension Agent or the Maple Syrup Team about the progress of the tapping season. Starting early in the season is usually good for sap quality and quantity but can be very frustrating when continuing cold conditions leave you for days with little or no sap.

Tree Selection

For the hobbyist, several types of maples can be tapped: sugar, black, red, silver or Norway. Sugar and black maples are the best; however, red maples are also used to some extent commerically. Select trees with large canopies with trunks greater than 31 inches in circumference (10 inches diameter). Avoid trees that are not vigorous or that have large defects. These trees will produce low sugar content sap and may be excessively stressed by tapping.

Tapping

Sugar producers use a 7/16 inch drill bit to tap trees. The holes are usually bored to a depth of about 2 1/2 inches and at a slightly upward angle so that the tap drains well. Care should be taken not to "round out" the hole. Traditional guideline suggest that tap holes be six inches to the side or twenty four inches above or below unhealed tap holes. Tap holes will be healed in 2 or 3 years. Be cautious of clustering tap holes in subsequent seasons. Traditional guidelines allow up to four taps in big trees; however, conservative tapping allows only 2 taps even on very large trees. Producers currently follow both guideline. Large trees with fewer taps tend to produce more sap per tap than when more taps are used, so the decision on which set of guidelines to follow is complicated. Both traditional and conservative tapping guidelines are included in the table below.

4 0
3 years ago
What is an irrational number​
postnew [5]

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios of integers.

4 0
3 years ago
Read 2 more answers
C<br> Solve for m:<br> 3/4m - 3 = 9<br> May I please have help!
MAVERICK [17]

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        3     3 • 4

   3 =  —  =  —————

        1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m - (3 • 4)                               3m - 12

—————4———————  =  ———4————

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(m-16)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (m-16)  = 0

6.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m-16 = 0

Add  16  to both sides of the equation :

                     m = 16

6 0
2 years ago
3. For the polynomial: ()=−2(+19)3(−14)(+3)2, do the following:A. Create a table of values that have the x-intercepts of p(x) in
Pepsi [2]

Part A. We are given the following polynomial:

\mleft(\mright)=-2\mleft(+19\mright)^3\mleft(-14\mright)\mleft(+3\mright)^2

This is a polynomial of the form:

p=k(x-a)^b(x-c)^d\ldots(x-e)^f

The x-intercepts are the numbers that make the polynomial zero, that is:

\begin{gathered} p=0 \\ (x-a)^b(x-c)^d\ldots(x-e)^f=0 \end{gathered}

The values of x are then found by setting each factor to zero:

\begin{gathered} (x-a)=0 \\ (x-c)=0 \\ \text{.} \\ \text{.} \\ (x-e)=0 \end{gathered}

Therefore, this values are:

\begin{gathered} x=a \\ x=c \\ \text{.} \\ \text{.} \\ x=e \end{gathered}

In this case, the x-intercepts are:

\begin{gathered} x=-19 \\ x=14 \\ x=-3 \end{gathered}

The multiplicity are the exponents of the factor where we got the x-intercept, therefore, the multiplicities are:

Part B. The degree of a polynomial is the sum of its multiplicities, therefore, the degree in this case is:

\begin{gathered} n=3+1+2 \\ n=6 \end{gathered}

To determine the end behavior of the polynomial we need to know the sign of the leading coefficient that is, the sign of the coefficient of the term with the highest power. In this case, the leading coefficient is -2, since the degree of the polynomial is an even number this means that both ends are down. If the leading coefficient were a positive number then both ends would go up. In the case that the leading coefficient was positive and the degree and odd number then the left end would be down and the right end would be up, and if the leading coefficient were a negative number and the degree an odd number then the left end would be up and the right end would be down.

Part C. A sketch of the graph is the following:

If the multiplicity is an odd number the graph will cross the x-axis at that x-intercept and if the multiplicity is an even number it will tangent to the x-axis at that x-intercept.

6 0
1 year ago
(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
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