A group of friends wants to go to the amusement park. They have no more than $710
to spend on parking and admission. Parking is $9, and tickets cost $10.75 per person,
including tax. Which inequality can be used to determine p, the maximum number of
people who can go to the amusement park?

Answer:

y= 1/2x+3.5

Step-by-step explanation:

Answer:

y= 1/2x+3.5

I took the test this is right

Step-by-step explanation:

Lisa spent 90% of the total money on the fruits.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given is Lisa spent $27 on fruits at the grocery store. She spent a total of $30 at the same store.

Money spent by Lisa on fruits = $27

Total money spent by Lisa = $30

Therefore, percentage of the total money she spend on fruits will be -

(27/30) x 100 = 90%

Hence, Lisa spent 90% of the total money on the fruits.

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By using the basics of the number system the calculated number from the given statement is 10.

What is number system?

In mathematics, the number system can be used to express the numbers in a way of writing to make the mathematical expression. Basically, it provide the unique representation of the number with the help of the algebraic structures and operations.

According to the question, the expression can be formed by the given statement is as follows:

Let us assume the number be 'a'

Using basics of the number system for the formation of an expression:

Therefore,

(2/5)a - 3 = 1

⇒ (2/5)a = 4

⇒ a = 10

Hence, by using the basics of the number system the calculated number from the given statement is 10.

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Answer:

177

Step-by-step explanation:

5(54 − 6 − 3) + (6)(2) − 60

= 177

Answer:

the x = 0  and y = 1

so start off at the zero on the x-axis, and move up to the 1 on the y- axis

Answer:

Both ans are attached

Answer:

32.64

Step-by-step explanation:

Answer:

44.8 inches

Step-by-step explanation:

5.6x8

need to write something to let me answer

Answer:

44.8 inches

Step-by-step explanation:

Hope this helps

Answer: -The probability of setting his alarm is 1-0.1=0.9

-The probability of being in time is therefore calculated as:

0.9 x  0.95 + 0.1 x 0.25

= 0.88

Hence, the probability that the professor shows up in time is 0.88

Step-by-step explanation:

Answer:

what do you mean?

Step-by-step explanation:

Provided the owner can bring 500 lbs of crabs to sell at the weekend seafood festival, they can earn between $4,250 and $5,250, depending on which type of crabs or their different combinations.

The total earnings can be determined using mathematical operations of multiplication, division, addition, and subtraction.

The total earnings are the products (multiplication results) of the units of each type of crab and their selling prices.

The selling price of Maryland crabs per Ib = $10.50

The selling price of Alaskan crabs per lb = $8.50

The total quantity of crabs the owner can bring to the seafood festival = 500 lbs

If the owner decides to bring in Maryland crabs, they can earn $5,250 ($10.50 x 500)

If the owner decides to bring in Alaskan crabs, they can earn $4,250 ($8.50 x 500)

If the owner decides to bring a combination of Maryland and Alaskan in the ratio of 50:50, they can earn $4,750 ($10.50 x 250) + $8.50 x 250)

Thus, if the owner sells Maryland crabs, the total earnings are $5,250, but if they sell Alaskan crabs, they earn $4,250.

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Answer:

1. C: y = 3x - 5

2. B: y = -3x - 9

Step-by-step explanation:

1.

y = 3x + 9; (2, 1) (parallel)

                 (x₁, y₁)

y - y₁ = m(x - x₁)

y - 1 = 3(x - 2)

y - 1 = 3x - 6

   +1         +1

-------------------

y = 3x - 5

----------------------------------------------------------------------------------------------------------

2.

y = (1/3)x - 6 ; (-3, 0) (perpendicular)

                     (x₁, y₁)

y - y₁ = m(x - x₁)

y - 0 = -3(x - (-3))

y - 0 = -3(x + 3)

y - 0 = -3x - 9

   +0          +0

----------------------

y = -3x - 9

I hope this helps!

Our range is 0 x  10, We could also graph this with x along with the x-axis and w along the y-axis then every minute 50x gallons are gone

We have 500 gallons of the water tank and it drains at the rate of 50 gallons per minute,

.Let's suppose after 5 minutes,

W = 500 - 50 * 5W = 500 - 250W = 250

After 5 minutes, 250 gallons are left in the water tank.

Here the lowest value is 0 so our maximum time is once the tank emptied, or when w is equal to 0.

0 = 500 - 50x

50x = 500X = 500/50X = 10

So, our range is 0 x  10

We could also graph this with x along with x-axis and w along the y-axis, in the graph the x- intercept where the tank is empty

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Answer: 1200 red and 800 blue

By  Side - Angle - Side congruency (SAS) rule, ΔDFC is congruent to ΔAEB as shown below.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Given is a geometrical diagram as shown in the image.

We can prove ΔDFC ≅ ΔAEB as follows -

AE = CF       [Given]

Add length EF on both sides of the equation, we get

AE = CF                                   ...[1]

∠ 1 = ∠ 2             [Given]                  ...[2]

Given is ∠ 1 = ∠ 2. Than the tangent of both angles will be same. On solving the tangent ratio, we get -

BE = FD                  ...[3]

From equation 1, 2 and 3, we can say that

ΔDFC ≅ ΔAEB

Therefore, by Side - Angle - Side congruency (SAS) rule, ΔDFC is congruent to ΔAEB.

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Answer:1.5 cars can be washed in 1 minute but realistically only 1 car can be washed

Step-by-step explanation: 24/16 =1.5 and that get you your answer of 1.5 but the correct answer is 1.5 or 1 depending on if they are asking you to round down or not.

Answer:

$8.50 ? let me know if im wrong

Step-by-step explanation:

By using division, if 89 members of the Taft school band spend a total of $4628 for tickets to Hammond's amusement park, The the cost of each amusement park ticket is $52

The total number of members of the Taft school = 89 members

The total cost for the ticket to Hammond's amusement park = $4628

The cost of each amusement park ticket = The total cost for the ticket to Hammond's amusement park ÷ The total number of members of the Taft school

Substitute the values in the equation

The cost of each amusement park ticket = 4628/89

= $52

Hence, by using division, if 89 members of the Taft school band spend a total of $4628 for tickets to Hammond's amusement park, The the cost of each amusement park ticket is $52

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5 square root - 2 square root is 0.821854415 and it is rational.

Given,

5 square root - 2 square root

That is,

√5 - √2

We have to find this is rational or not.

First we have to solve the equation:

√5 - √2 = 0.821854415

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q0). However, both of the numbers are genuine and can be shown on a number line.

So, here 0.821854415 is a rational number.

That is, 5 square root - 2 square root is  rational.

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Answer: 0.700

0.699 is the closest to 0.700, the hundredth would go up by one creating 0.700 hope this helps

Answer:

Perpendicular lines: When a line intersects another line at exact 90 degrees the lines are said to be perpendicular to each other.

Parallel lines: When two lines are formed such that the two lines are never intersecting and no angle is formed is known as parallel lines.

The values of x when f(x) = 0 are 2 and 8

Graphs are used mostly to show the relationship between two variables (usually x and y).

The graph of y = f(x) is attached

To get the values of x when f(x) = 0 , we  consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

x = 2

x = 8

This means that the values of x when f(x) = 0 are 2 and 8

Therefore, in the graph of y = f(x), the values of x where f(x) = 0 are 2 and 8

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Disclaimer : The question mentined is not provided with a graph, the above solution is done as per the graph attached.

Given : Professor randomly selects two people to go to board to work on problems.

To find: Probability of chosen first or second person to go to the board.

Let [tex]x[/tex] be the total no. of students.

After the first student is chosen, no of students left = [tex]x[/tex] - 1

Therefore,

the required probability = 1 / total no. of students x no. of students left

⇒ 1 / [tex]x[/tex] ([tex]x[/tex]- 1 )

= 1 / ([tex]x^{2} - x[/tex])

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Answer:

It requires no energy from the cell.

Step-by-step explanation:

Answer:

y+5 = 1/5 (x+6)

Step-by-step explanation:

The point slope form looks like this.

y - y1 = m (x - x1)

the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.

well, the amount paid was "x", which oddly enough is 100%, but we also know that 6% of that is $1.80, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1.80& 6 \end{array} \implies \cfrac{x}{1.80}~~=~~\cfrac{100}{6} \implies 6x=180\implies x=\cfrac{180}{6}\implies x=30[/tex]

The population of the city next year, after decreasing, will be 359,778

Here, we are given that the population of a city decreases by 1.7% per year.

This, means that the city's population will decrease by 1.7% in 1 year, (1.7 × 1.7)% in 2 years and so on.

The population of the city this year is given to be 366,000.

Thus, next year, the population will decrease by-

1.7% of 366,000

= 1.7/100 × 366,000

= 17/10 × 3,660

= 17 × 366

= 6,222

Thus, the city's total population next year will be-

366,000 - 6,222

= 3,59,778

Hence, the city's population to the nearest individual comes out to be 359,778.

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