It is given that p varies inversely as q. If p = 12 and q = 45 find p, if q is 135.

Answers

Answer 1

Answer:

[tex]p =4[/tex]

Step-by-step explanation:

Given

Variation: Inversely

[tex]p = 12[/tex] when [tex]q = 45[/tex]

Required

Determine p when [tex]q = 135[/tex]

First, we need to determine the relationship between p and q

Since, it is an inverse variation.

The relationship is:

[tex]p\ \alpha\ \frac{1}{q}[/tex]

Convert to an equation

[tex]p= k *\frac{1}{q}[/tex]

[tex]p= \frac{k}{q}[/tex]

Where k = constant of variation

Make k the subject

[tex]k = p * q[/tex]

When [tex]p = 12[/tex] and [tex]q = 45[/tex]

[tex]k = 12 * 45[/tex]

[tex]k = 540[/tex]

To solve for p when q = 135

Substitute 135 for q and 540 for k in [tex]p= \frac{k}{q}[/tex]

[tex]p = \frac{540}{135}[/tex]

[tex]p =4[/tex]


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Step-by-step explanation:

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Find an equation of the line that is perpendicular to y = 1/7x + 5 and has a y-intercept of — 2. Write your answer in the form y = mx+b​

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17*1.40 =23.80 that’s the answer


Find the slope of the line that passes through (3, 8) and( 2,10)

Answers

Answer:

slope is -2

Step-by-step explanation:

10-8=2

2-3=-1

2/-1

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Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

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A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

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If a line is vertical the slope is undefined (see below).

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2 more that 3 times is 3•x+2, so 26 field trips.

If ∆ and ∆ are two triangles such that ∠ ≅ ∠, which of the following
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Step-by-step explanation:

If angles are equal then sides will also be equal.

Cause: Equal angles have equal sides.

You can then prove them by using SAS, SSS ASA, AAS

Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle

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Answer:

acute angle

Step-by-step explanation:

just took the test

What is the value of the expression when x = 7 and y = 7? A. 8 B. 15 C. 50 D. 97

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Answer:

B. 15

Step-by-step explanation:

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do you need help with it or just want to know if people took it

on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot ​

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Answer:

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Step-by-step explanation:

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slope is 3

Step-by-step explanation:

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Answers

Answer:

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Answer:

C and h are both variables so the answer is ∞.

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Answers

Answer:

2 + n + 6 = 8 + n

Step-by-step explanation:

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Answer:

1 1/3?

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The numbers would be 80 and 8

Step-by-step explanation:

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Answer:

We have, x - y = 72

    and, x = 10y

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Step-by-step explanation:

Adams High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People interested Faculty member Mr. Jackson, Mrs. Washington Male student Tom, Omar, Keith, Justin Female student Donna, Charmaine, Rita, Keiko Parent Dr. Ward, Ms. Allen, Mrs. Flores, Mrs. Smith School board member Dr. Davis, Ms. Young, Mrs. King, Mr. Adams Based on this list, how many ways are there to fill the five committee positions?

Answers

Answer:

512 ways

Step-by-step explanation:

Given

Selection

Faculty Member = 1

Male Student = 1

Female Student = 1

Parent = 1

School Board Member = 1

Select from:

Faculty Member = 2

Male Student = 4

Female Student = 4

Parent = 4

School Board Member = 4

Required

Determine how many ways they can be selected

There are 2 faculty members of which 1 will be selected from.

Any of these two members may be selected.

So, Selection = 2

There are 4 male students of which 1 will be selected from.

Any of these four students may be selected.

So, Selection = 4

There are 4 female students of which 1 will be selected from.

Any of these four students may be selected.

So, Selection = 4

There are 4 parents of which 1 will be selected from.

Any of these four parents may be selected.

So, Selection = 4

There are 4 school board members of which 1 will be selected from.

Any of these four members may be selected.

So, Selection = 4

Total number of selection is then calculated as thus:

[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]

[tex]Selection = 512[/tex]

Hence, there are 512 ways

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Answer:

Step-by-step explanation:

= - 7

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Step-by-step explanation:

Fractions consisting of integers are only undefined if the denominator is zero. All other combinations will give you a rational number.

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Answers

Answer:

Z = 70

Step-by-step explanation:

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Answers

Answer:

y = 91/33

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

26 - (6y - 10) = 27y - 18 - 37

Step 2: Solve for y

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Find the area of the patio

Answers

Answer:19x^2-68x

Step-by-step explanation:

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The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.

Answers

Answer:

40 cm ; 30cm ; 20cm

Step-by-step explanation:

Given that:

Sides of a triangle are in the ratio 2:3:4

Let :

length of the sides = 2x, 3x, 4x

longest side = 4x

Mid side = 3x

Shortest side = 2x

Length of longest side is 20 cm longer than shortest side

4x = 2x + 20 - - (1)

4x - 2x = 20

2x = 20

x = 10

Hence,

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Shortest side = 2x = 2 * 10 = 20 cm

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Answers

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Step-by-step explanation:

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Ella finished a bike race in 37.6 minutes. Miranda finished the race minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?

Answers

Complete question :

Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race

Answer:

28.5

Step-by-step explanation:

Time taken by Ella = 37.6 minutes

Time taken by Miranda = 9 1/10 minutes sooner than Ella

Hence,

Miranda's finish time :

37. 6 minutes - 9 1/10 minutes

37.6 - 91/10 minutes

37. 6 minutes - 9.1 minutes

= 28.5 minutes

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Answers

Answer:

x=28

Step-by-step explanation:

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Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

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