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3 years ago

A ratio is in its simplest form 7:9.if its consequent is 117, find the antecedent

Mathematics

1 answer:

a_sh-v [17]3 years ago

3 0

Answer:

Let the income and saving rs7x and respectively 2x

then

2x=500

Step-by-step explanation:

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Use distributive property to solve, show all steps <br> 3(2x-6)

zlopas [31]

Answer:

6x-18

Step-by-step explanation:

First we multiply everything in the parentheses by 3

3×2x=6x

3×(-6)=-18

And now we put it together-

6x-18

4 0

2 years ago

Read 2 more answers

if a point on the graph of a proportional relationship is located at 3,4, can you determine the constant of proportionality? exp

Mashutka [201]

The answer is: No, because we also need to know the type of proportionality

In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.

1. Direct Proportionality:

If there are two variables x and y, we can write the relationship between them as follows:

$y=kx$

So, by substituting the point in this equation we have that the constant of proportionality is:

$4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}$

2. Inverse Proportionality:

In this case, the relationship is:

$y=\frac{k}{x}$

So, the constant of proportionality is:

$4=\frac{k}{3} \\ \\ \therefore \boxed{k=12}$

As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.

7 0

3 years ago

Math help ✄✐

brilliants [131]

D) as age increases, weight increases by 5

4 0

3 years ago

Order these numbers in ascending order. -11/3, 90%, 89/4, 2

Delicious77 [7]

Answer:

$- \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4}$

5 0

3 years ago

In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal

OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos ((π/6) (7 + C) → -5cos ((π/6) (7 + C)

= -1

→ ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→ cos ((π/6) (x-1) + 6 > 4/5

→ (π/6) (x-1) > Cos⁻¹ (4/5)

(π/6) (x-1) < 0.6435 and

(π/6) (x-1) > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0

2 years ago

A ratio is in its simplest form 7:9.if its consequent is 117, find the antecedent​

A ratio is in its simplest form 7:9.if its consequent is 117, find the antecedent