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2 years ago

Consider the proportion 3:4 = 6:8. What is true about the cross products?

Mathematics

2 answers:

vitfil [10]2 years ago

7 0

Cross products are equal

vagabundo [1.1K]2 years ago

6 0

By the proportion 3 : 4 = 6 : 8, shoul be:

product of means is 4*6 = 24
and product of extremes is 8*3 = 24

so cross product are equal

hope this help

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A bag of nuts weighs 3 ounces and costs 50 cents. What is the unit price? Round to the nearest cent.

galina1969 [7]

Answer:

50 cents/3 ounces = 16.67 cents/ounce

Step-by-step explanation:

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2 years ago

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

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3 years ago

The population of Chicago, Illinois, in 2003 was 2,869,121. The area of Chicago was 227.1 square miles. What was the average num

ValentinkaMS [17]

Answer:

12,633.7

Step-by-step explanation:

population of Chicago, in 2003 = 2,869,121

The area of Chicago = 227.1 square miles.

What was the average number of people living in 1 square mile?

Average number of people living in 1 square mile also refers to the population density of Chicago

Average number of people living in 1 square mile = Total population / total square miles

= 2,869,121 / 227.1

= 12633.734037868

Approximately

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2 years ago

A × 60=120 what does the a represent

I am Lyosha [343]

In math, the word unknown is also called to the missing term of a number sentence. This missing term is a missing piece that has to be solved.
Let us have A x 60 = 120, since A has no numerical value, it is considered as the missing term. How can we get the value of the missing term? first, study the number sentence. Find out the rule, then apply it.
The value of A on the equation above is 2. Here's how:
A x 60 = 120
A=120÷60
A=2
The value A is 2, therefore the missing term is 2.

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2 years ago

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Jake, Sara, and Cole are selling tickets for the school drama show. Sara sells half as many tickets as Jake. Cole sells 6 more t

MAXImum [283]

Jake sells 153,
Sara sold 76.
Cole sells 306.
538-153-76=309

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2 years ago