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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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bezimeni [28]

Answer:

1.  144  2. 16 3. 1   4. 3x-6  

Step-by-step explanation:

So think of this as a function in a function.  So you work from the inside to the outside.  So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).  

Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]

so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)

So take the h(x) function which is h(x) = x^{2} then h(12) = 12^{2} so h(12) = 144

4 0
3 years ago
A road crew took 3 days to pave a road. On the first day they paved 2/5 of the road, and on the second day they 1/3 of the road.
bazaltina [42]

Answer:5625 yards

Step-by-step explanation:

2/5=6/15

1/3=5/15

6/15+5/15=11/15

(15/15)-(11/15)=4/15

1500/4=375

375×15=5625

3 0
3 years ago
Is apples cost $3.50 per pound how much would one and 1/2 pounds cost
Shalnov [3]

$ 3.50 per lb * 1 1/2 lbs

3.50 per lb * 1.5 lbs = 5.25

It will cost $5.25

3 0
3 years ago
Add or subtract. (3/x-2)+(4/x+5)
Alex787 [66]
The answer is 7x+7/x^2+3x-10
3 0
3 years ago
In Exercises 5-7, find all the exact t-values for which the given statement is true,
bearhunter [10]

Answer:  See Below

<u>Step-by-step explanation:</u>

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

Answer: at 0π (0°) and all rotations of 2π (360°)

In radians:     t = 0π + 2πn

In degrees:   t = 0° + 360n

******************************************************************************

6)\quad sin (t) = \dfrac{1}{2}

Where on the Unit Circle does   sin = \dfrac{1}{2}

<em>Hint: sin is only positive in Quadrants I and II</em>

\text{Answer: at}\  \dfrac{\pi}{6}\ (30^o)\ \text{and at}\ \dfrac{5\pi}{6}\ (150^o)\ \text{and all rotations of}\ 2\pi \ (360^o)

\text{In radians:}\ t = \dfrac{\pi}{6} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{6} + 2\pi n

In degrees:    t = 30° + 360n  and  150° + 360n

******************************************************************************

7)\quad tan (t) = -\sqrt3

Where on the Unit Circle does    \dfrac{sin}{cos} = \dfrac{-\sqrt3}{1}\ or\ \dfrac{\sqrt3}{-1}\quad \rightarrow \quad (1,-\sqrt3)\ or\ (-1, \sqrt3)

<em>Hint: sin and cos are only opposite signs in Quadrants II and IV</em>

\text{Answer: at}\  \dfrac{2\pi}{3}\ (120^o)\ \text{and at}\ \dfrac{5\pi}{3}\ (300^o)\ \text{and all rotations of}\ 2\pi \ (360^o)

\text{In radians:}\ t = \dfrac{2\pi}{3} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{3} + 2\pi n

In degrees:    t = 120° + 360n  and  300° + 360n

4 0
3 years ago
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