Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

V125BC [204]

Answer:

p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

15p/15 = 60/15

p = 4

The solution is p = 4.

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<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

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For example, to solve ...

2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

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Any proportion can be written 4 ways:

$\dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}$

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

6/15 = p/10 ⇒ p = 10(6/15) = 4

4 0

1 year ago

Read 2 more answers

Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to

Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

6 0

2 years ago

Divide 25 1858.<br> To find the quotient, start by dividing

Pavlova-9 [17]

Answer:

74.32

Step-by-step explanation:

1,858 divided by 25= 74.32

5 0

2 years ago

Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0.15) and B is at (20.0)

timama [110]

Answer:

M = (8,9)

Step-by-step explanation:

Notice that the points (0,15), and (20,0) form with the origin of coordinates (0,0), a right angle triangle (please see attached image). This triangle has twon perpendicular sides of length 15 and 20 respectively. Therefore, we can find the length of the segment that joins points A (0,15) and B (20,0) by finding the length of the hypotenuse in a right angle triangle (with the Pythagorean Theorem):

$AB=\sqrt{15^2+20^2} =\sqrt{625} =25$

Now, to get a 2:3 proportion on Segment AB which is of length 25, we need to divide it in five equal parts (see the picture on the right of the attached image), and place point M at two of these divisions from point A (0,15) and along segment AB.

In order to find the appropriate location in (x,y) coordinates, we consider a smaller triangle (pictured in orange in the image) that is similar to the first larger triangle (pictured in blue). Notice that if the length of AB is 25, each of its five equal divisions would be of length "5", and therefore two of them will render a length of "10" (which is the hypotenuse of this smaller right angle triangle.

Now, in order to find the sides of this smaller triangle (which can give us the clues on the horizontal and vertical coordinates of point M), we can use proportions.

To find the length "x" of the horizontal side , we do:

$\frac{x}{10} =\frac{20}{25} \\x=\frac{10*20}{25} \\x=8$

To find the length "y" of the vertical side , we do:

$\frac{y}{10} =\frac{15}{25} \\y=\frac{10*15}{25} \\y=6$

Then, the coordinate "x" of point M will be "8", while we can calculate the y position of point M subtracting "6" from 15 (the length of the vertical side in the original triangle). This gives us the coordinates (8,9) for point M as marked in orange in the picture.

7 0

3 years ago

PLEASEEEE !!!!!! Help me figure out the length centimeters of LM. And the largest angle and measure !! WILL MARK BRIANLIEST !!!!

zmey [24]

Answer:

we really can't tell because we are not able to use a protactor and a ruler

3 0

2 years ago