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Serga [27]
2 years ago
5

Write the ratio $150 : $450 : $750 in its simplest form.

Mathematics
2 answers:
Oliga [24]2 years ago
8 0

Lets do

\\ \Large\sf\longmapsto 150:450:750

\\ \Large\sf\longmapsto  \frac{150}{ \dfrac{450}{750} }  \\ \\ \Large\sf\longmapsto  \frac{15}{ \dfrac{45}{75} }  \\ \\ \Large\sf\longmapsto  \frac{3}{ \dfrac{9}{15} }  \\

Simplified ratio is

\boxed{\LARGE{\sf \$1:\$3:\$5}}

Vadim26 [7]2 years ago
4 0

Answer:

1        : 3     : 5

Step-by-step explanation:

$150 : $450 : $750

Divide each by 150

$150/150 : $450/150 : $750/150

1        : 3     : 5

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
nirvana33 [79]

Answer:

Area = 26478cm^2

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

Area = \frac{\pi r^2}{2}

Where

r = 60cm

So:

A_1 = \frac{3.14 * 60^2}{2}

A_1 = \frac{11304}{2}

A_1 = 5652cm^2

Next, the area of the complete trapezium

Area= \frac{1}{2}(a + b) * h

Where

a = 300

b = 2 * r = 2 * 60 = 120

h = 153

So:

A_2 = \frac{1}{2} * (300 + 120) * 153

A_2 = \frac{1}{2} * 420 * 153

A_2 = 32130cm^2

The area of the desk is:

Area = A_2 - A_1

Area = 32130cm^2 - 5652cm^2

Area = 26478cm^2

8 0
2 years ago
Which of the following is either a median or an altitude?
Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

5 0
3 years ago
What is the number of real solutions? : 8x^2-11x=-3
swat32
X=1, and 3/8 it is a mixed number.

4 0
3 years ago
Solve the equation 3=8^x for x<br>​
Furkat [3]

Answer:

x=2 2/3

Step-by-step explanation:

The equation also means that x=8^3

8/3=2 2/3

7 0
3 years ago
This graph represents x−4y=−8. Which ordered pair is in the solution set of x−4y≤−8? (3, 2) (2, 3) (−3, 1) (3, −2)
Zigmanuir [339]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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