All categories

3 years ago

On a farm, there are 20 fewer cows than twice the number of pigs. If there are 50 cows, how many pigs are there?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

Answer:

140 pigs and 120 cows

Step-by-step explanation:

20+50=70

70x2=140(number of pigs)

140-20=120(number of cows)

You might be interested in

How many solutions does this graph have? 1 3 2 0

vagabundo [1.1K]

Answer:

Step-by-step explanation:

i think

6 0

3 years ago

I need 50 gallons of milk replacer for calves and the powder mixture says it's 6.25 oz for 5 gallons how many oz of powder do I

zubka84 [21]

Answer:

62.5 oz

Step-by-step explanation:

We can use the ratio proportion method:

x:50::6.25:5

x = (50x6.25)/5

OR a more simple method is to do this:

5 gallons of milk require 6.25 oz. How many oz of powder do I need to get 10x that amount? Since 50 is 10x5, you do the same thing for 6.25, and get 62.5

3 0

3 years ago

Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and

Anastasy [175]

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = $\frac{-8-1}{5-2}$ = $\frac{-9}{3}$ = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

6 0

4 years ago

Read 2 more answers

For a science project 30 students are divided into a group of six each group needs a piece of string that is 2 1/2 feet long mr.

Anuta_ua [19.1K]

Answer:

66 inches

Step-by-step explanation:

1. Yards to Feet:

1 yard= 3 feet

(6 yards)(3)= 18

6 yards = 18 feet

2. Number of Groups:

30 students/6 students per group= 5 groups

3. Total String Needed:

(5 groups)x(2.5 feet string)= 12.5 feet total string

4. Remaining String:

18 feet-12.5 feet= 5.5 feet

5. Feet to Inches:

1 foot= 12 inches

(5.5 feet)(12)= 66 inches

66 inches of string will remain

3 0

3 years ago

Plz help I have no idea how to answer it

saveliy_v [14]

5. Answer: see explanation

Step-by-step explanation:

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0 and x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0 then p = -4m and q = 3m²

3p² = 3(-4m)² 16q = 16(3m²)

= 3(16m²) = 48m²

= 48m²

3p² = 48m² = 16q ⇒ 3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

Step-by-step explanation:

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

Bigger non-shaded Δ: L = 12-x, w = 10 ⇒ $A = \dfrac{10(12-x)}{2}$
Smaller non-shaded Δ: L = x, w = x ⇒ $A=\dfrac{x(x)}{2}$

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

$\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}$

Area of ΔBEF:

$\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18$

5 0

3 years ago