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IRINA_888 [86]
2 years ago
13

Mr. Ortez told each student in his class to pick a folded piece of graph paper from a bowl. He instructed them to study the grap

h on the paper and describe it to the class if they have a graph showing equivalent ratios. Four students gave a description, but only one was correct. Which description was correct?
a graph that connects 3 points connected by a straight line that passes through (2, 0)
a graph that connects 3 points connected by a straight line that passes through (0, 3)
a graph that connects 3 points connected by a straight line that passes through (5, 0)
a graph that connects 3 points connected by a straight line that passes through (0, 0)
Mathematics
1 answer:
Natalka [10]2 years ago
8 0

Answer:

a graph that connects 3 points connected by a straight line that passes through (5, 0)

Step-by-step explanation:

A graph is the representation of numerical data by one or more lines that give visibility to the relationship between the data. Understanding graphics today is an essential task, as they are very present in our daily lives, whether in newspapers, magazines, the internet, etc.

If a teacher asks each student to take a piece of graph paper containing a graph, study the graph and tell which graph represents graphs of equivalent proportions. The student who has a graph that connects 3 points connected by a straight line passing through (5, 0) is the student who should speak.

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Suppose a company borrows 15,000 on 1/1/14 at 10% interest rate for a one year term. The company makes interest payments every q
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If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.​
fenix001 [56]

Given:

h:k=2:5,x:y=3:4,2h+x:k+2y=1:2

To find:

h-x:k-y

Solution:

We have, h:k=2:5 and x:y=3:4.

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

2h+x:k+2y=1:2

It can be written as

\dfrac{2h+x}{k+2y}=\dfrac{1}{2}

\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}

\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}

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On further simplification, we get

8a+6b=5a+8b

8a-5a=8b-6b

3a=2b

a=\dfrac{2b}{3}

Now,

h-x:k-y=\dfrac{h-x}{k-y}

h-x:k-y=\dfrac{2-3b}{5a-4b}

h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}

h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}

On further simplification, we get

h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}

h-x:k-y=\dfrac{-5b}{-2b}

h-x:k-y=\dfrac{5}{2}

h-x:k-y=5:2

Therefore, the ratio h-x:k-y is 5:2.

8 0
1 year ago
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