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1 year ago

Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?

Mathematics

2 answers:

Allushta [10]1 year ago

6 0

Answer:

$54

Step-by-step explanation:

Studentka2010 [4]1 year ago

5 0

Answer:

$54

Step-by-step explanation:

$\frac{x}{45} = \frac{20}{100}$

To get x which is the 20% tip

1. 45×20 = 900

2. 900÷100=9

3. 9 is the tip

To get the total cost, you would have to add $9 to $45 which is $54.

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Person A buys 10 granola bars and 6 cups of yogurt for 518 Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the

Alja [10]

Person A buys 10 granola bars and 6 cups of yogurt for $18

Person B buys 5 granola bars and 4 cups of yogurt for $9.50

Let x represent the granola bars

Let y represent the yogurt

10x + 6y = 18 << ( Divide both sides by 2 )

The second equation is 5x + 4y = 9.50. Now subtract the two equations.

5x + 4y = 9.50

-5x - 3y = -9

y = $.50

5x + 3(.50) = 9

5x + 1.50 = 9

5x = 7.5

x = $1.50

I hope this answered your question

Please remember to rate my answer and comment bellow if you have any questions

4 0

1 year ago

In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s

Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

$P=2b+2h$

In this problem

$b=ED=2\ units$

$h=AE=6\ units$

substitute

$P=2*2+2*6=16\ units$

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

$P=BD+DC+BC$

In this problem we have

$BD=AE=6\ units$

$DC=BC$

Applying the Pythagoras theorem

$DC^{2}=4^{2}+3^{2}$

$DC^{2}=25$

$DC=5\ units$

substitute

$P=6+5+5=16\ units$

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

$P=16\ units$

the perimeter of the triangle is

$P=16\ units$

the ratio is equal to

$\frac{16}{16} =1$

therefore

the answer Part 1) is the option B

$1$

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

$A=AE*BD=6*2=12\ units^{2}$

Area of the triangle is equal to

$A=\frac{1}{2}AEh$

the height h of the triangle is equal to $4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of polygon is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

therefore

the answer part 2) is the option C

$24\ units^{2}$

7 0

2 years ago

Read 2 more answers

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as y

pochemuha

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me = 20

The number of objects collected by my friend = 20

Let us assume:

The number of rocks collected by me = m

The number of fossils collected by me = 2 k

⇒ m + 2 k = 20 .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)

= 3 x (m) = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me) = 1/2 x (2k ) = k

⇒ 3 m + k = 20 .... (2)

Solving (1)and (2) for the value of m and k, we get:

m + 2 k = 20 ⇒ m = 20 - 2 k ... Put this in (2)

3 m + k = 20 ⇒ 3 (20 - 2 k) + k = 20

⇒ 60 - 6 k + k = 20

or, - 5k = -40

or, k = 40/5 = 8

⇒ k= 8

m + 2(8) = 20

or, m = 4

Hence, the number of rocks collected by me = m = 4

The number of fossils collected by me = 2 k = 2 (4) = 16

Hence, the number of rocks collected by my friend = 3 m = 3 x 4 = 12

The number of fossils collected by my friend = k = 8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

4 0

1 year ago

Business services ordered a chair that cost $220.59. Upon arrival they received an invoice for $261.47. If the California sales

sladkih [1.3K]

Answer:

Cost of shipping and handling = $23.453

Step-by-step explanation:

Given

Price of Chair=$220.59

Tax=7.9%

Invoice Price=$261.47

In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.

To find the tax,

Tax amount=220.59*0.079

=$17.42661

Now,

Cost of shipping and handling=$261.47-$220.59-$17.42661

=$23.453 ..

6 0

1 year ago

Read 2 more answers

Lily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which syste

vladimir2022 [97]

B + N = 18 and 6B + 5N = 101. This is the system of equations you would use.

7 0

2 years ago