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suter [353]
2 years ago
14

Sara has $65 and wants to buy the following items from a store. Board game: $14.95 Building blocks: $25.49 Art kit: $35.79 At th

e store, all items are one-fourth off of the original price and there is a 5% sales tax. Sara wants to know if she can buy all of these items. Which statement is TRUE?
Mathematics
1 answer:
valina [46]2 years ago
4 0

The correct statement is Sara can afford to purchase the items because the final price of the items is $60.

The first step is to determine the total cost of the items Sara wants to buy. The total cost can be determined by adding the cost of the items together.

Total cost = $14.95 + $25.49 + $35.79 = $76.23

The second step is to determine the cost of the items after the discount.

Price of the items = total cost x (1 - discount)

= total cost x (1 - 1/4)

total cost x 3/4

$76.23 x 3/4 = $57.17

The third step is to determine the cost of the items after tax.

Cost = (1.05) x $57.17 =$60.03

Please find attached the complete question. To learn more about taxes, please check: brainly.com/question/25311567

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a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
4 years ago
Given: F(x) = 5x - 6 and G(x) = x - 4
fomenos

Answer:

Correct choice is \dfrac{x+26}{5}

Step-by-step explanation:

1. If F(x)=5x-6, then you can find the inverse F^{-1}(x):

y=5x-6,\\ \\5x=y+6,\\ \\x=\dfrac{y+6}{5},\\ \\F^{-1}(x)=\dfrac{x+6}{5}.

2. If G(x)=x-4, then

y=x-4,\\ \\x=y+4,\\ \\G^{-1}(x)=x+4.

3. Hence,

G^{-1}(F^{-1}(x))=G^{-1}\left(\dfrac{x+6}{5}\right)=\dfrac{x+6}{5}+4=\dfrac{x+26}{5}.

7 0
3 years ago
Is my answer correct? If not what’s the right answer
pochemuha

Answer:

Yup, 27 is correct!

Step-by-step explanation:

5(7)-8

= 35 - 8

= 27

8 0
3 years ago
Read 2 more answers
X^2-7x=0 solve the equation​
inn [45]

Answer:

x = 0, 7

Step-by-step explanation:

Step 1: Write out equation

x² - 7x = 0

Step 2: Factor out <em>x</em>

x(x - 7) = 0

Step 3: Find roots

x = 0

x - 7 = 0

x = 7

6 0
4 years ago
Read 2 more answers
Hi!! Can you pls help thanks:)
Pani-rosa [81]
1. Y=X-4
2. Y=X*4
3. Y=X+3
4. Y=X/6
8 0
3 years ago
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