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4 years ago

Are the ratios equivalent? 2/3 and 8/12 Explain.

Mathematics

2 answers:

kakasveta [241]4 years ago

6 0

Hello

Answer:

Yes

Step-by-step explanation:

When 2/3 is multiplied by 4 on both numerator and the denominator,

we get 8/12..........

Thus the ratios are equivalent...

LUCKY_DIMON [66]4 years ago

5 0

Answer:

Yes.

Step-by-step explanation:

2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.

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Tickets for admission to a high school football game cost $3 for students and $5 for adults. During 1 game, $2995 was collected

Sveta_85 [38]

Answer:

Number of student tickets = 325

Number of adult tickets = 404

Step-by-step explanation:

Let,

x be the number of student tickets

y be the number of adult tickets

According to given statement;

x+y=729 Eqn 1

3x+5y=2995 Eqn 2

Multiplying Eqn 1 by 3

3(x+y=729)

3x+3y=2187 Eqn 3

Subtracting Eqn 3 from Eqn 2

(3x+5y)-(3x+3y)=2995-2187

3x+5y-3x-3y=808

2y=808

Dividing both sides by 2

$\frac{2y}{2}=\frac{808}{2}\\y=404$

Putting y=404 in Eqn 1

x+404=729

x=729-404

x=325

Hence,

Number of student tickets = 325

Number of adult tickets = 404

4 0

3 years ago

At the farmers market a farmer has bunches of radishes for sale. The

stealth61 [152]

Answer:

The probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185

Step-by-step explanation:

The weight of the radish bunches is normally distributed with a mean of 6 ounces and a standard deviation of 0.5 ounces

Mean = $\mu = 6$

Standard deviation = $\sigma = 0.5$

We are supposed to find the probability a random selected radish bunch weighs between 5 and 6.5 ounces i.e.P(5<x<6.5)

$Z=\frac{x-\mu}{\sigma}$

At x = 5

$Z=\frac{5-6}{0.5}$

Z=-2

$Z=\frac{x-\mu}{\sigma}$

At x = 6.5

$Z=\frac{6.5-6}{0.5}$

Z=1

Refer the z table for p value

P(5<x<6.5)=P(x<6.5)-P(x<5)=P(Z<1)-P(Z<-2)=0.8413-0.0228=0.8185

Hence the probability a random selected radish bunch weighs between 5 and 6.5 ounces is 0.8185

6 0

3 years ago

One of the tallest living men has a height of 236 cm. One of the tallest living women is 224 cm tall. Heights of men have a mean

Roman55 [17]

Answer:

A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.

Step-by-step explanation:

Whoever has the highest z-score, is taller relative to the population of the same gender.

The z-score of a value X in a set with mean $\mu$ and standard deviation $/sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

Solution:

Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

$Z = \frac{X - \mu}{\sigma} = \frac{236-170}{6} = 11$

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.

One of the tallest living women is 224 cm tall. The z-score of the women's height is

$Z = \frac{X - \mu}{\sigma} = \frac{224-161}{5} = 12.6$

The women has a higher z-score, so she is relatively taller.

The correct answer is A

3 0

4 years ago

What is the first step in solving the quadratic equationx

ch4aika [34]

B. adding 40 to both sides of the equation

x^2 - 40 = 0

x^2 = 40

x = ± √40

3 0

4 years ago

The degree of the polynomial function f(x) is 3. The roots of the equation f(x)=0 are −4 , 0, and 2. Which graph could be the gr

KATRIN_1 [288]

We know that the polynomial function is of degree 3, and that its roots are -4, 0, 2.

With this data we can write a generic equation for the function:

f (x) = bx (x + 4) (x-2)

Since the function is of degree 3 and cuts the axis at x = 0, then it has rotational symmetry with respect to the origin.

The graph of the function can be of two main forms, based on the value of the coefficient b.

If b is positive then the function grows from y = -infinite and cuts the x-axis for the first time in -4. Then it decreases, cuts at x = 0 and begins to grow again cutting the x-axis for the third time at x = 2. and continues to grow until y = infnit

If b is negative, then the function decreases from y = infinity and cuts the x-axis for the first time in -4. Then it grows, cuts at x = 0 and begins to decrease again by cutting the x-axis for the third time at x = 2, and continues to decrease until y = -infnit.

In the attached images the graphs of the function f (x) are shown assuming b = -1 and b = 1

5 0

3 years ago

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