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jeka57 [31]
3 years ago
5

Recently, Frank took a one-hundred question aptitude test where each correct answer scored 5 points, each incorrect answer score

d -2 points, and each question not answered scored zero points. Frank answered 80 questions and scored 232 points. How many questions did he answer correctly?
Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0

Answer:

56 questions were correctly answered by Frank.

Step-by-step explanation:

Let Frank answered the number of correct questions = x

Let wrong answers given by Frank = y

By statement 1 "Frank answered 80 questions".

Equation will be x + y = 80 ---------(1)

Statement 2 "Frank scored 232 points."

equation will be 5x - 2y = 232 ------(2)

We have to calculate number of correct answers.

Multiply equation (1) by (2) then add it to equation (1).

(2x + 2y) + (5x - 2y) = 160 + 232

7x = 392

x = 56

Therefore, 56 questions were correctly answered by Frank.

Lyrx [107]3 years ago
3 0
Im guessing he answered 30 correct, let me know if im correct
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5 ,  6,  2

Step-by-step explanation:

cause they da same

5 0
3 years ago
The perimeter of a rectangular toddler play area is 100 feet. The length is 10 feet more than 3 times the width. Find the length
Mekhanik [1.2K]

Answer:

length and width = 40 and 10 ft.

Step-by-step explanation:

The perimeter of a rectangular toddler play area is 100 feet.

Perimeter = 2(length + width)

Let the width = w

The length is 10 feet more than 3 times the width. Length = 10+(3w)

now put the values

100 = 2(10+3w + w)

100 = 2w + 20 + 6w

100 = (2w + 6w) + 20

100 = 8w + 20

8w = 100 - 20

w = \frac{80}{8}

w = 10 feet.

Now Length = 10+ (3w)

                     = 10+( 3 × 10)

                     = 10 + 30

                     = 40 feet

Therefore, length = 40 feet and width = 10 feet

8 0
3 years ago
a school musical soild 353 tickets. $5 for adults and $3.50 for students. the school made $1500 how many adult tickets were sold
IrinaVladis [17]

Answer:

177 Students

176 Adults

Step-by-step explanation:

Adult - (A) $5

Student - (S) $3.50

Equation 1: A+S = 353 tickets

Equation 2: 5A + 3.50S = $1500

Sub equation 1 into 2:

5A + 3.50(353 - A) = 1500

Multiply: 5A + 1235.50 -3.50A =1500

Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:

264.50/1.50 = 176 Adults

Sub into equation 1:

176 +S = 353

Solve: 353 - 176 = 177 Students

Check: 5(176) + 3.50(177) = $1500

1499.5 rounded = 1500 = 1500 ✔

I hope this helped!

3 0
3 years ago
If two lines are cut by a transversal, the corresponding angles are equal in measure always, sometimes, never
Ivahew [28]
I would choose... sometimes
3 0
2 years ago
Read 2 more answers
If x is a positive number greater than 10, what is always true about the solution to the problem to -3 + x ?​
alexandr402 [8]

Answer:

The equation answer will always be positive

Step-by-step explanation:

3 0
2 years ago
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