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Alex777 [14]
2 years ago
6

Jerry 1/5 of his allowance on a book and 3/8 of the remainder of his allowance for $12.00. Calculate: A.Jerry's allowance B.The

cost of the book C.The cost of the pen
Mathematics
2 answers:
skelet666 [1.2K]2 years ago
6 0
What grade are you just asking no offense
Goshia [24]2 years ago
6 0

Answer:

Allowance = $24

Cost of book = $4.8

Cost of pen = $7.2

Step-by-step explanation:

Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12

x = \frac{1}{5}x + (\frac{3}{8}  \times  \frac{4}{5})x  +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24

cost \ of \ book = \frac{1}{5}  \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2

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asambeis [7]
In order to find GCF, you will need more than just 1 number
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A blue suit case weighs 10 pounds less than three fourths the weight of a green suitcase.Write an expression that you can use to
Readme [11.4K]

Answer:

The total weight of both suitcases is 53 pounds.

Step-by-step explanation:

Write an expression that you can use to find the weight of the blue suitcase.

b = 3/4 * g - 10

Then explain how you can find the total weight of both suitcases if the green suitcase weighs 36 pounds.

b + g = 3/4 * g - 10 + g = 7/4 * g - 10 = 7/4 * 36 - 10 = 53 pounds

6 0
3 years ago
Evaluate the expression for the given value.<br><br> 3x(x−2), when x=7
Alexeev081 [22]

Answer:

105

Step-by-step explanation:

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Simplify:                      21(5)

Multiply:                       105

6 0
2 years ago
Given (x)=-x²+2x,determine<br> F'(x) using first principle
mote1985 [20]
Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}


f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}=\lim_{h \to 0}\frac{-2hx-h^2+2h}{h}=\lim_{h \to 0}\frac{-2x-h+2}{1}=-2x+2

6 0
3 years ago
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i
Pavlova-9 [17]

Answer:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean \mu. And we can estimate this parameter with a confidence interval given by this formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

7 0
3 years ago
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