On a scale drawing, a park is 4.5 inches long. The scale is 0.5inch=10 feet. What is the actual length of the park ?

Distributive property: 5y-3y-6

Combine like terms: 2y-6

So there's your answer

To simplify the given expression, distribute the -3 to both terms inside the parentheses, then combine like terms.

To simplify the expression 5y - 3(y + 2), we need to follow the order of operations, which is parentheses first, then multiplication and division, and finally addition and subtraction.

First, distribute the -3 to both terms inside the parentheses:

5y - 3 * y - 3 * 2

Now, simplify each term:

5y - 3y - 6

Combine like terms:

2y - 6

This is the simplified form of the given expression.

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The height of the liquid in the new cylinder is about 1.72 cm

Step-by-step explanation:

The formula of the volume of a cylinder is V = πr²h, where

∵ The volume of the liquid = 36 cm³

∵ The liquid is poured into another cylinder with radius 3 cm

∵ The radius of the base = 3 cm

- To find the height of the liquid in the new cylinder equate the rule

   of the volume by 36

∵ V = πr²h

∴ π(3)²h = 36

∴ 9πh = 36

- Divide both sides by 9π

∴ h = 1.273239545

The height of the liquid in the new cylinder is about 1.72 cm

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Answer:

936

Step-by-step explanation:

1 x 12 x 13 x 6= 936

Here is some evidence

Answer:36

Step-by-step explanation: L•w/2 = A for triangular

Answer:

1:10 pm

Step-by-step explanation:

60 minutes in an hour, so

8:50am + 4 hours = 12:50pm

12:50pm + 20 minutes = 1:10pm

Answer:

used an interest calculator

Answer:

Each ticket cost $13

Step-by-step explanation:

Day 1-- 1 adult and 8 child ticket= Total of 9 tickets = $117

Day 2--6 adult and 8 child ticket= Total of 14 = $182

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Answer

h-7

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]

Solution:

Given trignometric expression is:

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x}[/tex]

We have to evaluate the above expression

Let us use the trignometric identities

[tex]sin^2x + cos^2x = 1[/tex]

Also, use another trignometric identitiy

[tex]1 + cot^2x = cosec^2x[/tex]

Therefore, upon rearranging we get,

[tex]cot^2 x -cosec^x = -1[/tex]

Apply these two identities in given expression

[tex]\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = \frac{1}{-1}\\\\\frac{cos^2x + sin^2x}{cot^2x - cosec^2x} = -1[/tex]

Thus value of given expression is -1

Answer:

13013

Step-by-step explanation:

Express each number in terms of the product of prime numbers.

91 = 7 × 13

143 = 11 × 13

169 = 13 × 13

Now consider the maximum number of times each factor occurs for each number.

The factor 7 occurs once

The factor 11 occurs once

The factor 13 is repeated twice ( maximum number of times for 1 number )

Thus LCM = 7 × 11 × 13 × 13 = 13013

91 = 7×13

143 = 11×13

169 = 13²

LCM = 7×11×13² = 77×169 = 13013

Answer: Yes it is

Step-by-step explanation: In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set

Answer:  

yes

hope this helps

A) Equation: f = 2.75p

B) 38.5 cups of flour are needed to make 14 pound cakes

Step-by-step explanation:

A)

The table shows the following data:

Pound cakes, p  3 6 9

Cups of flour, f 8.25 16.5 24.75

From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:

[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]

This means that for each additional pound  cake, we need 8.25 more cups of flour.

This is a direct relationship between the two variables, therefore we can write their relationship using the equation:

[tex]f=2.75 p[/tex]

B)

Now we can complete the table.

We have to found how many cups of flour are needed when the number of pound cakes is

p = 14

In order to do that, we use the equation found in part A):

f = 2.75p

And substituting p = 14 into the equation, we find

f = (2.75)(14)= 38.5

Which means that 38.5 cups of flour are needed to make 14 pound cakes.

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Answer:

All of the following fractions work: 1/2, 7/12, 8/12. There are endless possibilities.

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Answer:

6/12 ; 7/12 ; 8/12

Step-by-step explanation:

³⁾3/4 = 9/12

5/12 < 6/12 < 7/12 < 8/12 < 9/12

Answer:

Credit Card

Step-by-step explanation:

This is most likely a credit card.

You only need to put a special code in when you're inputting a credit cards pin number.

it is c my dudes yes hes yes

Answer:

look at the picture shown

Answer:

2

Step-by-step explanation:

Answer:

The scenario that represents a 85% of success on a test is C. 102 out of 120 points

Step-by-step explanation:

Let's analyze which of the scenarios given, represent a 85% of success on a test, this way:

Scenario A:

56 out of 70 points = 56/70 = 0.8

This scenario represents a 80% of success

Scenario B:

78 out of 90 points = 78/90 = 0.867

This scenario represents a 86.7% of success

Scenario C:

102 out of 120 points = 102/120 = 0.85

This scenario represents a 85% of success

Answer:

If you can't afford a new laptop computer, then you haven't got 400$.

Step-by-step explanation:

The contrapositive is:

If A implies B then not B implies not A.

Answer:

50%

Step-by-step explanation:

Let X be the % of total that she has saved

X/100 x 75 = 37.50

75X = 37.50 x 100

X = 37.50 x 100 / 75

= 3750/75

= 50%

Answer:

0.5 50/100 0.50

Step-by-step explanation:

Final answer:

Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.

Explanation:

If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.

The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.

Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:

√(17² + (-2)²) = √(289 + 4) = √293

Now we can find the other five trigonometric functions:

The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.

Answer:

  38.40 ft

Step-by-step explanation:

The problem statement tells you the proportion is ...

  height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)

Multiplying by 23.04 ft, we find ...

  tree height = (23.04 ft)(4/2.4) = 38.40 ft

The height of the tree is 38.40 ft.

Answer:

225

Step-by-step explanation:

Total number of students =300

75% have had algebra

Number of students that have had algebra will be

= 75%/100% x 300

= 0.75 x 300

= 225

So, 225 of the 300 students have had algebra

Answer:225 students

There are 2 simple ways to get the answer.

The vertex of the function is (-6,-36).

Step-by-step explanation:

f(x) = x²+ 12x

From the above function, we can find the x- coordinate of the vertex as,

x = -b/2a

Here a = 1, b = 12

Plugin the values as,

x = -12 /(2×1) = -6

Now plug in the x value in the above function, we will get y as,

f(x) = y = x² + 12x = (-6)² + 12(-6)

                           = 36-72 = -36

So the vertex is (-6, -36).

Answer:

The answer is A

Step-by-step explanation:

B (1/4x)^2 will widen the parabola

C 4x^2 is too wide to be g(x)

D (16x)^2 is too narrow to be g(x)

A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!

Answer:

Step-by-step explanation:

Supplementary: ADC

Complementary: AC

Adjacent: ABC

Hope this helps.

Answer:

D

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

22 - 30 = - 8

14 - 22 = - 8

6 - 14 = - 8

To obtain a term in the sequence subtract 8 from the previous term, thus

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

The next 3 terms in the sequence are - 2, - 10, - 18 → D

Answer:

x = 12

Step-by-step explanation:

Answer:

$309.01

Step-by-step explanation:

To calculate tax, you need to turn the percent to a decimal.  This is done by moving the decimal point two spaces to the left, adding zeros and needed.

4.75% = 0.0475

Now take the price of the bike, 295, and multiply it by 0.0475.

295 x 0.0475 = 14.0125

All you need are the first two numbers after the decimal point since you are dealing with money.

Add the product, 14.01, to the price of the bike, 295, and you have your answer.

$309.01

Hope this helps.

Answer:

309.01

Step-by-step explanation:

Answer:

The length is 37yd

The width is 17yd

Step-by-step explanation: please see attachment for explanation