MATHEMATICS HIGH SCHOOL

Fred bought seven adult and two student tickets for $16. John paid $7 for one adult and five student tickets. Individual costs are:

Answers

Answer 1
Answer:

Answer:

Adult ticket=$2

Student ticket=$1

Step-by-step explanation:

Let the cost of one adult ticket be $x and the cost of one student ticket be $y

Fred bought 7 adult and 2 student tickets for$16.

So,

7x+2y=16. ...(1)

And,John paid $7 for one adult and 5 student tickets.

So,

x+5y=7. ...(2)

From ...(2),

x=7-5y

Substituting the value of x in equation ...(1),

7(7-5y)+2y=16

or,49-35y+2y=16

or,33y=33

or,y=1

Now, substituting the value of y in ...(2),

x=7-5=2

Thus,the cost of one adult ticket is $2 and the cost of one student ticket is $1.

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Four sisters bought a present for their father. They received a 10% discount on the original price of the gift. After the discount was taken, each sister paid $9.00. What was the original price of the gift?

Answers

Answer:

The original price of the gift was $40.

Step-by-step explanation:

Let the original price of the gift be = x

Discount of 10% on the gift and each sister paid $9 means a total of 4*9=36 dollars

We can write this information mathematically like :

x-0.10x=36

Solving for x now;

0.90x=36

x = $40

So, the original price of the gift was $40.
9 dollars represents 90% of the cost. Divide 9 by 0.90 to get the original price, 10 dollars

Help again please !

Answers

The answer is C.

y = -3x + 2
y = -3x + 4

-3x + 2 = -3x + 4
         2 ≠ 4

What is the equation of this line graph?A. y = 2x + 1
B. y = 2x + 2
C. y = -2x + 1
D. y = -1x + 1
E. y = -3x + 1

Answers

Answer:

it would be C. y= -2x+1

Step-by-step explanation:

Y= mx+c

the c would be the y- intercept (0,1)

m is the slope the rise/run in this case the line seems to be going down which means there would be a negative sign you move 2 units down and one right the slope would be -2/1 which is -2

The number of guests in a hotel per day resembles a normal distribution with a mean of 220 and standard deviation of 30. One day, the z-score of the number of guests was 2.3. How many guests did the hotel have on that day?

Answers

The hotel had 289 guests on the day in question. The z-score is a measure of how many standard deviations a data point is away from the mean of the distribution.

In this case, we are given that the number of guests in a hotel per day follows a normal distribution with a mean of 220 and a standard deviation of 30, and that the z-score of the number of guests on a particular day was 2.3.

Using the formula for z-score, we have:

z = (x - mu) / sigma

where x is the number of guests on the given day, mu is the mean of the distribution, and sigma is the standard deviation of the distribution.

Substituting the given values, we have:

2.3 = (x - 220) / 30

Multiplying both sides by 30, we get:

69 = x - 220

Adding 220 to both sides, we get:

x = 289

Therefore, the hotel had 289 guests on the day in question.

Find out more about standard deviations

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3. Irvin cut a 47 in. wire into two pieces. The longer piece is 13 in. longer than the shorter piece. What is the length of the longer piece?_________ in.

Please Help!!!

Answers

Let's say x to the shoter piece's length, since the longer one is 13 in longer, it's length has to be x+13 in. We know the sum of these pieces is equal to 47. So let's solve: 
x+x+13=47\n 2x+13=47\n 2x=47-13\n 2x=34\n x=\frac { 34 }{ 2 } \n x=17
the shorter piece's length 'x' is 17 , so the longer piece's length 'x+13' is : x+13\n 17+13=30

Answer:

30 inches.

Step-by-step explanation:

i took the test and got it correct.

Daniel wants to have a 90 average in his math class at the end of the year. He is trying to determine what he needs to get on his final exam, which accounts for 10% of his grade, for this to work. Tests are weighted 50% of the grade, and he currently has a 85 for his test average; quizzes are weighted 15% of his grade, and he currently has a 95 quiz average; homework is weighted 15% of his grade and he currently has a 98 homework average; and projects are weighted 10% of his grade and he currently has a 92 project average. What is the lowest whole percentage Daniel can make on his final exam for him to end up with a 90 in the class?

Answers

Exam + Tests + Quizzes + HW + Projects = 90

Exam = 10% * grade (x) = 0.1 * x 

Tests = 50% * 85 = 0.5 * 85 = 42.5

Quizzes  = 15% * 95 = 0.15 * 95 = 14.25

HW = 15% * 98 = 0.15 * 98 = 14.7

Projects = 10% * 92 = 0.1 * 92 = 9.2

Exam + Tests + Quizzes + HW + Projects = 90

(0.1 * x) + 42.5 + 14.25 + 14.7 + 9.2 = 90

(0.1 * x) + 80.65 = 90         (subtract 80.65 from each side)

(0.1 * x) = 9.35           (divide 0.1 from each side)

(0.1 * x)/0.1 = 9.35/0.1

x = 0.935

The answer is 93.5%

Answer:

d)94

Step-by-step explanation:
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