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Lubov Fominskaja [6]
3 years ago
9

Tip and Sales tax cause a restaurant bill to____.

Mathematics
2 answers:
Luda [366]3 years ago
8 0
<span>Tip and Sales tax cause a restaurant bill to____.
a. increase

When estimating using money for a purchase, you should_____.
c. estimate up to the nearest dollar or half dollar

You purchase a piece of cake for $3.49. What would be a good estimation for just purchasing the cake?
b. 3.50

Your total restaurant bill for food, drinks, and tip is $37.40. What is a good estimate cost for just the food and drinks?
c. 36.00
</span>
Amiraneli [1.4K]3 years ago
4 0

1)A sales tax is a tax paid to a governing body for the sales of certain goods and services.

Tip and Sales tax cause a restaurant bill to a) Increase.

2)  When estimating using money for a purchase, you should  c. estimate up to the nearest dollar or half dollar

3)While purchasing any item we round the price to nearest cents .  $3.49 rounded to nearest cent is $3.50. Option b. 3.50  is the right answer.

4) The total restaurant bill consists of   bill for food, drinks, and tip .The restaurant bill is $37.40.  including tip then cost of food ,drinks only  will be less than $37.40. The estimated cost for just the food and drinks is d. 34.00

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t
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Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

x = 100 + 3(2800 - x)

Distributing 3 in the right side of the equation, we get...

x = 100 + 8400 - 3x

Adding 3x on both sides of the equation, we get...

x+3x = 8500

Combine like terms in the left side of the equation, we get...

4x=8500

Dividing 4 on both sides of the equation, we get...

\frac{4x}{4} =\frac{8500}{4}

Simplifying the fraction on either side of the equation, we get...

x=2125miles

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

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