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Harlamova29_29 [7]
3 years ago
15

A recipe calls for 1/3 cup of brown sugar for 1 batch. How many batches can be made by one and two-thirds cups? 4 students drew

tape diagrams and gave their solutions. Which option contains a correct tape diagram and solution to represent this situation?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

5 batches

Step-by-step explanation:

1/3 cup of sugar = 1 batch

1 1/3 is 5 times the amount of 1 batch

so 5 batches could be made with 1 1/3 cups of brown shugar

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A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. the actual closing costs are l
Furkat [3]

The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

<h3>What is closing cost?</h3>

All the expenduture and charges charged by a lander and other parties is called the closing cost.

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000.  Thus, the estimate closing cost is,

C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500

The actual closing costs are listed below.  

  • Loan origination   $300
  • Title insurance      $600
  • Attorney’s fees     $1,250
  • Appraisal               $550
  • Inspection             $525
  • Recording fees     $125
  • Escrow                  $2,000.

The total annual cost is,

C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800

Total annual cost is $300 more than the estimate closing cost. In the percentage form,

p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%

Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Learn more about the closing cost here;

brainly.com/question/20108287

5 0
2 years ago
Rewrite 5 − 6 using the additive inverse and display the new expression on a number line.
Serggg [28]
Additive inverses are numbers that when added to another number equal 0.  The additive inverse of 5 is -5 and the additive inverse of 6 is -6.  Therefore, the new expression is -5-(-6) or -5+6.  
4 0
3 years ago
50 POINTS! Show All Work!
olasank [31]

Let the number of chickens = c.

Let the number of pigs = p.

A chicken has 1 head and 2 legs.

c number of chickens have c heads and 2c legs.

A pig has 1 head and 4 legs.

p number of pigs have p heads and 4p legs.

There are 40 heads.

Equation for heads:

c + p = 40

There are 110 legs.

Equation for legs:

2c + 4p = 110

System of equations:

c + p = 40

2c + 4p = 110

Solve the first equation of the system of equations for c:

c = 40 - p

Substitute 40 - p for c in the second equation:

2c + 4p = 110

2(40 - p) + 4p = 110

80 - 2p + 4p = 110

80 + 2p = 110

2p = 30

p = 15

Now substitute p = 15 in the first equation to find c.

c + p = 40

c + 15 = 40

c = 25

There are 25 chickens and 15 pigs.

7 0
3 years ago
Read 2 more answers
kate spent 3/5 of her money on a manicure and had $45 left. how much money did she have at first?(PLEASE SHOW STEPS!)
prisoha [69]
Lets say she has x money

Now she spent 3/5of x means 2/5 is left
2/5*x=45
x=112.5
7 0
3 years ago
Read 2 more answers
When a certain polynomial is divide by binomial x-3, the result is 4x-5+6/x-3. What is the polynomial
Dmitry_Shevchenko [17]
\frac{p(x)}{x-3} = 4x-5 + \frac{6}{x-3}

The polynomial p(x) can be found by multiplying 'x-3' to every term
p(x) = (4x-5)(x-3) + 6

Now distribute and you have your answer.
p(x) = 4x^2 -12x-5x+15 +6 \\  \\ p(x) = 4x^2 -17x+21


7 0
3 years ago
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