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Alex777 [14]
3 years ago
7

2. Describe two methods to determine whether ratios form a proportion.

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.

2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.

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The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass
Naddik [55]

Answer:

The beam will bend by 50 mm with a mass of 100kg?

Step-by-step explanation:

The first step in solving the problem of direct variation is setting up the relation mathematically.

We can do this as follows:

The bending of the beam varies directly as its mass.

20  \alpha  40kg

\alpha here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k

20 = k \times 40

k = 20 /40 = 0.5

We can now use this to find the distance the beam will bend with a mass of 100kg?

This will be

Bending = 0.5 \times 100 =50mm

There fore, the beam will bend by 50 mm with a mass of 100kg?

6 0
3 years ago
Read 2 more answers
in an office building,92 offices are currently being rented. This represents 80% of the total units. How many offices are in the
8090 [49]

Answer:

Number of offices in the building = 115

Step-by-step explanation:

Let x be the total number of offices.

Then 80% x= 92 or 80/100 * x =92

Hence, x = 92*100/80 = 9200/80= 115

8 0
2 years ago
Jon, Leroy, and Simon are having a free-throw shooting contest. Each boy
Zolol [24]

Answer:

B

Step-by-step explanation:

If you arrange a statistics in order from least to greatest, the middle number is the median.

If there is even number of numbers in a list, let it be n numbers, then we take the average of n/2th and n/2 + 1 th terms.

Here, all of them have 6 numbers, so 6/2 = 3  and 4th, we take average of 3rd and 4th number to find the median.

Since they are arrange in order we check each:

Jon = average of 6 and 7, (6+7)/2 = 6.5

Leroy = average of 6 and 8,  (6+8)/2 = 7

Simon = average of 5 and 6, (5+6)/2 = 5.5

Leroy's median is the greatest (7).

8 0
3 years ago
Read 2 more answers
Question:
-Dominant- [34]
C I took the tests on eg today
6 0
3 years ago
Ax+by=c solving for y
german

Answer:

ax + by = c \\  by = c - ax \\  \\ y =  \frac{c - ax}{b}  \\  \\ y =  \frac{c}{b}  -  \frac{ax}{b}

I hope I helped you^_^

8 0
3 years ago
Read 2 more answers
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