Mathematics, 25.09.2019 02:30 Kcmayo6019

The number of pounds in a bag of flour varies
directly with the number of ounces. write a direct
variation equation that describes the relationship.
use your equation to determine the number of
pounds in 152 ounces.
the number of nencils for sale varies directly with th

Answers: 3

Show answers

Answers

Answer from: jpsaad00

Part 5)

a) $y=\frac{1}{16}x$

b) $y=9.5\ pounds$

Part 6)

a) y=50x

b) $y=700\ pencils$

Step-by-step explanation:

The complete questions in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Part 5) The number of pounds in a bag of flour varies directly with the number of ounces. Write a direct variation equation that describes the relationship. Use your equation to determine the number of pounds in 152 ounces.

Part a) Write a direct variation equation that describes the relationship

Let

x ------> number of ounces

y ----> number of pounds

Observing the graph we have

The point (16,1)

$x=16\ ounces$

$y=1\ pounds$

Fin the value of the constant of proportionality k

k=y/x

substitute the values

$k=\frac{1}{16}\frac{pounds}{ounce}$

The equation of the direct variation is

$y=\frac{1}{16}x$

Part b) Use your equation to determine the number of pounds in 152 ounces

we have

$y=\frac{1}{16}x$

For $x=152\ ounces$

substitute the value of x in the equation and solve for y

$y=\frac{1}{16}(152)$

$y=9.5\ pounds$

Part 6) The number of pencils for sale varies directly with the number of boxes. Write a direct variation equation that describes the relationship. Use your equation to determine the number of pencils in 14 boxes.

Part a) Write a direct variation equation that describes the relationship

Let

x ------> number of boxes

y ----> number of pencils

Observing the graph we have

The point (1,50)

$x=1\ box$

$y=50\ pencils$

Fin the value of the constant of proportionality k

k=y/x

substitute the values

$k=\frac{50}{1}=50\frac{pencils}{box}$

The equation of the direct variation is

y=50x

Part b) Use your equation to determine the number of pencils in 14 boxes.

we have

y=50x

For $x=14\ boxes$

substitute the value of x in the equation and solve for y

y=50(14)

$y=700\ pencils$

The number of pounds in a bag of flour varies directly with the number of ounces. write a direct var

Answer from: Quest

step-by-step explanation:

Answer from: Quest

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

Another question on Mathematics

Mathematics, 21.06.2019 20:20

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

Answers: 1

Answer

Mathematics, 21.06.2019 20:40

Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

Answers: 3

Answer

Mathematics, 22.06.2019 00:40

M? aoc=96 ? space, m, angle, a, o, c, equals, 96, degree \qquad m \angle boc = 8x - 67^\circm? boc=8x? 67 ? space, m, angle, b, o, c, equals, 8, x, minus, 67, degree \qquad m \angle aob = 9x - 75^\circm? aob=9x? 75 ? space, m, angle, a, o, b, equals, 9, x, minus, 75, degree find m\angle bocm? bocm, angle, b, o, c:

Answers: 2

Answer

You know the right answer?

The number of pounds in a bag of flour varies
directly with the number of ounces. write a dire...

Questions