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Simora [160]
3 years ago
12

To meke a batch of sugar cookies , you need 0.75 cup of sugar and 1/3 cup of butter , among other ingredients. How much more sug

ar do you need that butter?
a) 5/12 cup b) 3/4 cup c) 1/2 cup d) 2/3 cup
Mathematics
1 answer:
Leokris [45]3 years ago
5 0
A) 5/12 cup more

you have to convert the fractions so they have the same denominator. 0.75 is 9/12 and 1/3 is 4/12. Subtract and you get 5/12
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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)

Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

152=190-Ae^{-14k}.e^{14k}

Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

A=152

7 0
3 years ago
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each. How
scZoUnD [109]

Answer:

$26.80

Step-by-step explanation:

multiply 1.79 by 5 and you get 8.95

multiply 1.19 by 15 now because there are 15 uncounted bags left and you get 17.85

add together and you get 26.8. she spent 26.8 dollars on candy

4 0
2 years ago
Which expression represents the inverse of the function f(x)=4x
Anton [14]

Answer:

f^{-1}(x) = \frac{x}{4\\}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 4x ( divide both sides by 4 )

x = \frac{y}{4}

Change y back into terms of x

f^{-1} (x) = \frac{x}{4\\}

4 0
3 years ago
Solve for x. 26x2–9x=0
Lilit [14]

Answer:

x=0;x=\frac{9}{26}

Step-by-step explanation:

assuming you meant 26x^2-9x=0:

26x^{2} -9x=0\\x(26x-9)=0\\x=0;x=\frac{9}{26}

3 0
2 years ago
What is the product of<br> 2 1/8 and 4 1/3
alukav5142 [94]

Answer:

9\frac{5}{24}

Step-by-step explanation:

7 0
3 years ago
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