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Gekata [30.6K]
3 years ago
12

Which of the following arrangement of the numbers 75, 4, 3,100 forms a proportion?

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:

b) 3,4,75,100

Step-by-step explanation:

Since in the question it is mentioned that

75,4,3,100

So here the arrangement that creates a proportion is

3,4,75,100

Therefore the option b is correct

You might be interested in
Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))
sergejj [24]

Answer:

\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

\displaystyle f(g(x)) = g(f(x)) = x

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

\displaystyle h(x) = y = 3x-2

Find its inverse. Flip variables:

x = 3y - 2

Solve for <em>y. </em>Add:

\displaystyle x + 2 = 3y

Hence:

\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}

And:

\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x  \stackrel{\checkmark}{=} x\end{aligned}

3 0
3 years ago
Which statement is true in this equation?
alexandr402 [8]

Answer:

B) Stan made a mistake in step one.

Step-by-step explanation:

B) Stan made a mistake in step one.

When he multiplied 8(n+20), he should have gotten 8n+160, not 8n+20.

8 0
4 years ago
Read 2 more answers
Simplify (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² - 5x + 3y).
prohojiy [21]

The simplified form for (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² -5x + 3y) is (5x² + 0y² - 10x + 4y - 2xy).

<h3>A quadratic equation is what?</h3>

At least one squared term must be present because a quadratic is a second-degree polynomial equation. It is also known as quadratic equations. The answers to the issue are the values of the x that satisfy the quadratic equation. These solutions are called the roots or zeros of the quadratic equations. The solutions to the given equation are any polynomial's roots. A polynomial equation with a maximum degree of two is known as a quadratic equation, or simply quadratics.

<h3>How is an equation made simpler?</h3>

The equation can be made simpler by adding up all of the coefficients for the specified correspondent term through constructive addition or subtraction of terms, as suggested in the question.

Given, the equation is (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² -5x + 3y)
Removing brackets and the adding we get,
3x² + 2x² + 2y² - 2y² + (- 5x) + (- 5x) + y + 3y + (- 2xy) = (5x² + 0y² - 10x + 4y - 2xy)

To learn more about quadratic equations, tap on the link below:
brainly.com/question/1214333

#SPJ10

7 0
2 years ago
A​ chef's specialty calls for ​one- fiftieth of an ounce of a spice per serving. The chef has a digital scale that shows the wei
Anna35 [415]

Answer:

The scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.

Step-by-step explanation:

In order to find the answer, you need to multiply the amount that the chef uses per serving for the number of servings. The statement indicates that the chef uses ​one- fiftieth of an ounce of a spice per serving and this is represented as 1/50 and you have to multiply this for 43 that is the number of people.

You can find 1/50 as a decimal dividing 1 by 50:

1/50=0.02

Now, you can multiply this value for 43:

0.02=43=0.86

According to this, the answer is that the scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.

3 0
3 years ago
The Student Council of your school orders 11 pizzas for an event.
bezimeni [28]

Answer:

I think u just add and  multiple

Step-by-step explanation:

8 0
3 years ago
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