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3 years ago

13

A cupcake recipe requires 2 cups of flour to make 9 cupcakes using the same recipe what is the amount of flour needed for 40 cup

cakes express as a fraction

1 answer:

stich3 [128]3 years ago

7 0

The recipe will require 180 cups of flour to make the forty cupcakes

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The time taken for a journey on a motorway varies inversely as

Westkost [7]

Time that will be taken at speed of 45 miles/hr is 1.8 hrs

Step-by-step explanation:

Step 1: Given the speed of the journey = 54 miles/hr and time = 1.5 hours. Find the distance of the journey using the speed formula.

Distance = Speed × Time

= 54 × 1.5 = 81 miles

Step 2: Calculate the time taken for this journey given speed = 45 miles/hr

TIme = Distance/Speed

= 81/45 = 1.8 hrs

3 0

2 years ago

It’s a precalculus holiday equation. Need to simplify to find the “secret message” can anyone help???

tensa zangetsu [6.8K]

Take the expression in chunks:

>>

$((X+A)(X-A)M+A^2M)E=((X^2-A^2)M+A^2M)E=X^2ME$

>>

$\dfrac{\frac{R+X}X+\frac X{R-X}}{\frac X{R-X}}=\dfrac{\frac{R+X}X}{\frac X{R-X}}+1$

$\dfrac{\frac{(R+X)(R-X)}{X(R-X)}}{\frac{X^2}{X(R-X)}}=\dfrac{(R+X)(R-X)}{X^2}=\dfrac{R^2-X^2}{X^2}=\dfrac{R^2}{X^2}-1$

$\implies\dfrac{\frac{R+X}X+\frac X{R-X}}{\frac X{R-X}}=\dfrac{R^2}{X^2}$

>>

Note that $(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$ . So

$\displaystyle\frac{4AS}3\sum_{\rm cyc}\frac1{X((E+Y)^2-(E-Y)^2)}=\frac{4AS}3\sum_{\rm cyc}\frac1{4XEY}=\frac{AS}3\sum_{\rm cyc}\frac1{XEY}$

where the cyclic sum notation means

$\displaystyle\sum_{\rm cyc}f(x,y,z)=f(x,y,z)+f(z,x,y)+f (y,z,x)$

In other words, we take the sum over all possible cycles of the sequence of arguments to the summand. The second square-bracketed chunk reduces to

$\displaystyle\frac{AS}3\sum_{\rm cyc}\frac1{XEY}=\frac{AS}3\left(\dfrac1{XEY}+\dfrac1{EYX}+\dfrac1{YXE}\right)=\dfrac{AS}3\dfrac3{XEY}=\dfrac{AS}{XEY}$

So to recap, we've reduced the starting expression to

$X^2ME\left(\dfrac{R^2}{X^2}-\dfrac{AS}{XEY}\right)Y$

>>

$\dfrac{R^2}{X^2}-\dfrac{AS}{XEY}=\dfrac{R^2EY-ASX}{X^2EY}$

Finally, we have

$X^2ME\dfrac{R^2EY-ASX}{X^2EY}Y=M(R^2EY-ASX)$

Then distributing $M$ and rewriting to decode the message, we have

$MERRY-XMAS$

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3 years ago

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.

Genrish500 [490]

Radius, r = 7.2
Height, h = x

Surface of the cylinder
2*pi*r*x

Volume of the cylinder
pi*r^2*x

2*pi*r*h = pi*r^2*h
2 = r

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3 years ago

Help with all of these porblems

777dan777 [17]

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21 -1 - 9
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16a - b

16(1/2) - 7
8 - 7
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3(7) - 2(1/2) - 9
21 -1 - 9
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8 0

2 years ago

Put the fractions in order from the least to the greatest 2/4, 2/3, 2/8, 2/6...answer

Dahasolnce [82]

The best way to order from least to greatest is to make all the denominators equal so find the Lowest Common Multiple of all the denominators:

LCM= 24

2/4 (times 6) = 12/24

2/3 (times 8) = 16/24

2/8 (times 3) = 6/24

2/6 (times 4) = 8/24

Now you can easily order which is lowest to greatest (REMEMBER TO SIMPLIFY BACK TO ORIGINAL FRACTIONS WHEN ORDERING)

2/8, 2/6, 2/4. 2/3

Hope this helps! :D

8 0

3 years ago

Read 2 more answers