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3 years ago

Why is x = 6 a solution to the proportion StartFraction 192/36=32/x?

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

Answer:

Step-by-step explanation:

When you cross multiply 192 times 6 it equals 1152 and if you multiply 32 times 36 you get 1152 and 1152 is equal to 1152.

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If one measurement of a golden rectangle is 10.4 inches, which number could be the other measurement?

Rashid [163]

ϕ = (1+√5)/2 ≈ 1.618
10.4 * ϕ ≈ 16.8
10.4 / ϕ ≈ 6.4
Answer: b

6 0

3 years ago

(25pts) Due soon! Help!

navik [9.2K]

Answer:

true

True

False

Step-by-step explanation:

a. The problem tells me that for every 3 parts of red paint, I have 8 parts of yellow paint. To find the ratio of 1 part of yellow paint I can write the following statement

For 8 parts of yellow paint ------------ 3 parts of red paint

1 part of yellow paint ------------- x

So $x=\frac{1 part of yellow paint * 3 parts of red paint }{8 parts of yellow paint}$

$x= \frac{3}{8} parts of red paint$

b, I have the following relationship

3 parts of red paint ----- 8 parts of yellow paint

If I multiply the entire expression by 3 I have left

3 * 3 parts of red paint -------- 8 * 3 parts of yellow paint

9 parts of red paint ---------- 24 parts of yellow paint

c.I have the same relationship

3 parts of red paint ----- 8 parts of yellow paint

If I multiply the entire expression by 1/2 I have left

3/2 parts of red paint -------- 8/2 parts of yellow paint

3/2 parts of red paint ---------- 4 parts of yellow paint

as 3/2 is different from 10, then the approach is false

d. observing the relation of part a,

For 3 parts of red paint ------------ 8 parts of yellow paint

1 part of red paint ------------- x

So $x=\frac{1 part of red paint * 8 parts of yellow paint }{3 parts of red paint}$

$x= \frac{8}{3} parts of yellow paint$ that is different than 3/8 parts of yellow paint, then the approach is false

6 0

3 years ago

Read 2 more answers

Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 234 rounds. At what

Ludmilka [50]

Answer:

38 rounds per hour

Step-by-step explanation:

7 0

2 years ago

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Which of the following best represents the average speed of a fast runner?

Tpy6a [65]

For the answer to the question above, the easiest way to determine is changing every runner's speed into the same unit.

First = 10 m/s 

Second = 10 miles/min = 16090.34 / 60 m/s (As 1 mile = 1609.34 meter and 1 min = 60 sec) 
Second = 260.82 m/s 

Third = 10 cm/hr = 10*(0.01)/60*60 (As 1 cm = 0.01 m and 1 hr = 60*60 sec) 
Third = 0.000028 m/s 

Fourth = 10 km/sec = 10*1000 m/s (As 1 km = 1000 m and time is already in sec) 
Fourth = 10000 m/s 

So fastest would be the one who covers the largest distance in 1 sec. It would be the fourth one.

3 0

3 years ago

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Factorise x squared + 3x + 2

Zielflug [23.3K]

Answer:

$(x + 2)(x + 1)$