Kia stuffs 228 envelopes in an hour. What is the average number of envelopes Kia stuffs per minute?

1) A farmer has sheep and cattle in the ratio 8:3.

natima [27]

Answer:

Q 1)

a) No of sheep = 480

b) 8 : 11

c) 11 : 3

Q 2)

Each person will receive: $360,000, $270,000 and $180,000

Step-by-step explanation:

Ratio of sheep to cattle = 8 : 3

Let the number of sheep be 8x

And number of cattle be 3x

a)

No of cattle = 180 (Given)

Therefore,

3x = 180

x = 180/3

x = 60

Therefore, 8x = 8*60 = 480

No of sheep = 480

b)

Total animals = 180 + 480 = 660

Ratio of sheep to the total number of animals

= 480 : 660

= 8 : 11

c)

Ratio of total animals to the number of cattle

= 660 : 180

= 11 : 3

Q 2) Let each person will receive 4x, 3x and 2x dollars.

Therefore,

4x + 3x + 2x = 810,000

9x = 810000

x = 810000/9

x = 90,000

Therefore,

4x = 4*90,000 = $360,000

3x = 3*90,000 = $270,000

2x = 2*90,000 = $180,000

So, each person will receive $360,000, $270,000 and $180,000.

6 0

2 years ago

Use the discriminant to determine the nature of the roots of the following equation. y^2 - 5y - 3 = 0

iris [78.8K]

Here a=1, b= -5 and c= -3

so the discrim. is b^2 - 4(a)(c), or (-5)^2 - 4(1)(-3) = 25 + 12 = 37.

Because the discrim. is +, you'll have 2 real, unequal roots.

6 0

2 years ago

Which of the following graphs represents the solution set for y< -2x – 4?

Katen [24]

Given:

The inequality is $y$ .

To find:

The graph of the given inequality.

Solution:

The inequality is

$y$

The related equation is

$y=-2x-4$

For x=0,

$y=-2(0)-4$

$y=0-4$

$y=-4$

For y=0,

$0=-2x-4$

$4=-2x$

$\dfrac{4}{-2}=x$

$-2=x$

So, the related line passes through two points (0,-4) and (-2,0).

Sign of inequality is <, so the related line is a dotted line and shaded region is below the related line.

Therefore, the correct option is B.

3 0

2 years ago

Gabby is buying flowers for a friend. She can choose daisies, carnations, or sunflowers. She can put the flowers in a clear, red

FrozenT [24]

Combination tells the number of ways an object can be arranged. The number of all of the possible combinations Gabby can have is 9.

<h3>What is Combination?</h3>

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{r!(n-r)!}$

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of options of the flower with Gabby is 3( daisies, carnations, or sunflowers) and the color choices she has is (clear, red, or blue), therefore, she $^3C_1$ choices for the flower, also, she has $^3C_1$ choices for color.