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mart [117]
3 years ago
13

Tram left a tip of $9, which was StartFraction 3 over 20 EndFraction of the total cost of the food. Which shows the correct equa

tion and value of x, the total cost of the food? StartFraction 3 over 20 EndFraction x = 9; x = $1.35 StartFraction 3 over 20 EndFraction x = 9; x = $60 StartFraction 3 over 20 EndFraction = StartFraction x over 9 EndFraction; x = $1.35 StartFraction 3 over 20 EndFraction = StartFraction x over 9 EndFraction; x = $60
Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

It is given that Tram left a tip of $9, which was \dfrac{3}{20} of the total cost of the food.  

Let x be the total cost of the food. So, amount of tip is

Tip=\dfrac{3}{20}x

Tram left a tip of $9.

\dfrac{3}{20}x=9

Multiply both sides by 20.

3x=180

Divide both sides by 3.

x=60

So, total cost of food is $60.

Therefore, the correct option is B.

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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte
Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

:

"She has 10 more dimes than nickels"

d = n + 10

:

"twice as many quarters as dimes."

q = 2d

:

How many coins of each kind does she have?

:

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

:

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

:

.05(d-10) + .1d + .25(2d) = 15.75

:

.05d - .5 + .1d + .5d = 15.75

:

.65d - .5 = 15.75

:

.65d = 15.75 + .5

:

.65d = 16.25

:

d = 16.25/.65

:

d = 25 dimes

:

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

:

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

:

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0
2 years ago
Howe meny cats can fit in a bird house if thr beird hous is five feet by five feet
ratelena [41]
2 maybe it really depends on how big the cats are and what kind they are
5 0
2 years ago
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A wedding planner purchased both small and large lanterns for a wedding reception. The planner purchased a total of 40 lanterns
Olegator [25]

Answer:

The wedding planner must have purchased 28 small lanterns and 12 large lanterns.

Step-by-step explanation:

8 0
2 years ago
Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays
katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

<u>Answer:</u> The half life of the sample of phosphorus-32 is 14.28days^{-1}

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

The equation used to calculate the half life of the sample is given as:

m(t)=m_o(1/2)^{t/h}

where,

m(t) =  amount of sample after time 't' = 356 g

m_o = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}

Hence, the half life of the sample of phosphorus-32 is 14.28days^{-1}

7 0
3 years ago
Marking Brainlist 7-9g+3g
coldgirl [10]

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

5 0
2 years ago
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