How can you represent the system of inequalities with a matrix? 11x-12y=7 5x+12y=-7

A cow gave 8 1 2 liters of milk in the morning, 3 5 liters less than this at the noon milking, and 6 3 10 liters in the evening.

Nitella [24]

Answer:

$22\frac{7}{10}\ l$ or $22.7\ l$

Step-by-step explanation:

The correct question is

A cow gave 8 1\2 liters of milk in the morning, 3\5 liters less than this at the noon milking, and 6 3/10 liters in the evening. How many liters of milk did the cow give during the entire day?

we know that

The total liters of milk given by the cow during the entire day is equal to the amount in the morning plus the amount at the noon plus the amount in the evening.

Let

x -----> liters of milk given by the cow in the morning

y ----> liters of milk given by the cow at the noon

z -----> liters of milk given by the cow in the evening

T ----> total liters of milk given by the cow during the entire day

T=x+y+z

we have

$x=8\frac{1}{2}\ l=\frac{8*2+1}{2}=\frac{17}{2}=\frac{85}{10}\ l$

$y=\frac{17}{2}-\frac{3}{5}=\frac{85-6}{10}=\frac{79}{10}\ l$

$z=6\frac{3}{10}\ l=\frac{6*10+3}{10}=\frac{63}{10}\ l$

$T=\frac{85}{10}+\frac{79}{10}+\frac{63}{10}$

$T=\frac{227}{10}\ l$

$T=22.7\ l$

Convert to mixed number

$22.7\ l=22+0.7=22+\frac{7}{10}=22\frac{7}{10}\ l$

6 0

2 years ago

I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 l

jarptica [38.1K]

I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n₂ = 1/2 * n₃

n₂ + n₃ = 9

Therefore:

n₂ = 9 - n₃

Therefore:

9 - n₃ = 1/2 * n₃

9 = 1/2 * n₃ + n₃

9 = 1.5 * n₃

Therefore:

n₃ = 6

If n₃=6, n₂=3.

This means that:

n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611

3 0

3 years ago

Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour. Jonah wants to use all of his flour to make as m

S_A_V [24]

Answer:

4 1/2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Help me plz bruh i need this doneeeee

NARA [144]