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Ostrovityanka [42]
3 years ago
10

What are the extremes of the followin proportion? 3/15=12/60

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

3 and 60

Step-by-step explanation:

A proportion is a mathematical expression in which two ratios are shown to be equal.

Hence  

a/b = c/d \\ is proportion .

it can be also written as a:b= c:d

The four part a,b,c,d can be divided into two groups

  • means : b and c are means
  • extremes: a and d are extremes

based on above discussion

in proportion 3/15=12/60

3 is in position of a

and

60 is in position of d

Thus, 3 and 60 are extremes in 3/15=12/60 proportion.

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Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length
nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}

Upon substituting our given values in above equation, we will get:

\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}

\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}

\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4

\text{Height of statue}=272\text{ inches}

Therefore, the height of the statue is 272 inches.

5 0
3 years ago
The equation of a line is 4x+y=13 solve the equation for y
Salsk061 [2.6K]

Answer:

y = 13 - 4x

Why?

4y +y = 13

Subtract 4x from both sides

4x+y-4x = 13 - 4x

Simplify

Y= 13 - 4x

Have a good day

3 0
4 years ago
Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point
vichka [17]
Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1

Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2

Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3
3 0
3 years ago
Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke
GarryVolchara [31]

Answer:

170

Step-by-step explanation:

Equations derived from given info.

  • P=2J
  • J=E+40
  • P+J+E=300

Use some substitution now.

  • P=2(E+40)
  • J=E+40
  • P+J+E=300

Substitute first and second equation into third.

  • 2(E+40)+E+40+E=300
  • 2E+80+E+40+E=300
  • 4E+120=300
  • 4E=180
  • E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

  • P=2(45+40)
  • P=90+80
  • P=170

Peter has 170 stickers.

4 0
4 years ago
How can I calculate a square root without guess and check?
Darina [25.2K]
By multiplying the same numbers.

2*2=4 *4 square root is 2

3*3=9 *9 square root is 3

4*4=16 *16 square root is 4

5*5=25 *25 square root is 5

Try this, maybe it will work :)
3 0
3 years ago
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