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seraphim [82]
3 years ago
5

I need dis answer to st

Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

The given system of equations has infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x-2y = 28

2x-y = 14

From equation 2:

2x-14 = y

Putting in equation 1:

4x-2(2x-14) = 28\\4x-4x+28 = 28\\28 = 28

When this happens in the solution of a system i.e. same constant on both sides of equation, the system of equations has infinitely many solutions.

Hence,

The given system of equations has infinitely many solutions.

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A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered
raketka [301]

Answer:

Cooking will be shortest when the househusband covers the beef stew with the heavy lid.

Step-by-step explanation:

The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.

So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.

If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.

If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.

Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.

8 0
3 years ago
A pile of 42 coins worth $4.90, consisting of nickels and quarters. How many nickels are there?
Ymorist [56]

Answer:14

Step-by-step explanation:

A nickel is 5 cents (20% of dollar)

and a quarter is 25 cents (25% of dollar)

We have given a pile of 42 coins worth of $4.90

Let x be the no nickels and

y be the no of quarter

therefore

x+y=42    -----1

\frac{x}{4}+\frac{y}{20}=4.90 ---2

Solving \left ( 1\right )&\left ( 2\right ) we get

x=14 & y=28

Therefore no of nickels is 14 & no of quarters is 28

6 0
3 years ago
Tomas has $1,000 to spend on a vacation. His
Jobisdone [24]

Answer:

He can spend $118.50 each day

Step-by-step explanation:

1000 - 348.25 = 651.75

651.75 / 5.5 = 118.5

4 0
3 years ago
Use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1.
Margaret [11]

Answer: The vertex is the minimum value

The function is increasing when x<1

The function is decreasing when x>1

The domain of the function is all real numbers

The range of the function is all numbers less than it equal to 0

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Simplify the sum.<br> (4u3 + 4u2 + 2) + (6u3 – 2u + 8)
Elan Coil [88]

Answer:

10u^{3}+4u^{2}-2u+10 or 2(5u^{3}+2u^{2}-u+5)

Step-by-step explanation:

we have

(4u^{3}+4u^{2} +2)+(6u^{3}-2u+8)

step 1

Group terms that contain the same variable

(4u^{3}+6u^{3})+(4u^{2})+(-2u)+(2+8)

step 2

Combine like terms

(10u^{3})+(4u^{2})+(-2u)+(10)

step 3

Eliminate parenthesis

10u^{3}+4u^{2}-2u+10

step 4

Factor the number 2

2(5u^{3}+2u^{2}-u+5)

8 0
3 years ago
Read 2 more answers
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