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3 years ago

A candy store sells mints in 1/4, 1/2 , and 3/4 lb packages. John purchases several packages of each weight.

Mathematics

1 answer:

KiRa [710]3 years ago

3 0

For this problem, just multiply the fractions by the amount of packages purchased.

6 * 1/4 = 1 1/2

8 * 1/2 = 4

7 * 3/4 = 5 1/4

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a line with the slope of 1/3 passes through the points of (6,0). what is the equation in slope intercept form?

sleet_krkn [62]

Answer:

y = 1/3x -2

Step-by-step explanation:

the equation for slope intercept form is y= mx + b.

m is the slope and b is where the line crosses the y-axis which is called the y-intercept.

to find the y-intercept plug in a coordinate on the line (6,0)

0 = 1/3(6) + b

then solve for b by first multiplying 1/3 by 6

0 = 2 + b

subtract 2 from both sides

-2 = b

and then you can plug b into the equation

y = 1/3x - 2

8 0

2 years ago

Use substitution to solve the system of equations.

Katarina [22]

The colution to your problem is a. (3,-6)

5 0

3 years ago

Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3><u>Option 2</u></h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

6 0

2 years ago

Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negati

IceJOKER [234]

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x, -3, -1, 2, 5, 10

y, -4.5, -3.0, -1.5, 0.0, 1.5

-4.5/-3 = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2

x, -5.5, -4.5, -3.5, -2.5, -1.5

y, 10, 8, 6, 4, 2

10/(-5.5) = -20/11 ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3

x, -5.5, -5.5, -5.5, -5.5, -5.5

y, -3, -1, 2, 5 , 10

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x, -3, -1, 2, 5, 10

y, -7.5, -2.5, 5.0 , 12.5, 25

-7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists

8 0

3 years ago

Read 2 more answers

a box holds red pens and blue pens the ratio of red pens to blue pens is 1 to 4 The box holds 12 more blue pens than red pens wh

Genrish500 [490]

Answer:

20 pens

Step-by-step explanation:

if there is 1 red pen for every 4 blue pens

then

4 red pens would have 16 blue pens with it. makes a total of 20 pens, with 12 more blue pens than red pens

7 0

3 years ago