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3 years ago

Which equation and variable would be easiest to solve for in order to solve the system by substitution? y + x = 3 5x + 3y = -1

Mathematics

1 answer:

notsponge [240]3 years ago

4 0

Answer:

Use y + x = 3 and solve for either x or y.

Step-by-step explanation:

Substitution is a method to solve a system of equations by substituting an expression from one equation into the other.

To begin, first solve one equation by isolating for one variable. Choose the equation which will have the least number of steps to do so.

y + x = 3 can be solve for x or y by subtracting the other variable. Since this only requires one step use this equation. Either variable can be used.

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A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration

iVinArrow [24]

Answer:

acceleration $\approx 2.78\,\,\frac{m}{s^2}$

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

$70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}$

so in this case the acceleration becomes:

$accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}$

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2 years ago

A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. since the relationship is proportiona

Kipish [7]

There would be 900 calories in 180 crackers.

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3 years ago

Read 2 more answers

A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T

Simora [160]

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

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2 years ago

Can someone please explain to me how to add and subtract integers without using a number line? What's the rule for it?

irga5000 [103]

ADD:
If both numbers are positive or negative then you have to add them if its a negative then your answer is a negative.6+1=7;-4+-1=-5

If one of the numbers are negative and the other one is positive then you will have to subtract.Then find the bigger number in the problem if its a negativie then your answer is a negative if your number is positive then your answer is a positive.-9+1=-8;4+-3=1

Sorry Don't Know What The Rules For Subtraction.But Hope This Helped You For Adding.

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3 years ago

After each charging, a battery is able to hold only 99% of the charge from the previous charging. The battery was used for 15 ho

valentina_108 [34]

Answer: 13.5 hours or 14 hours (if you round it)

Step-by-step explanation:

$\frac{0.90}{1.00}$ * 15

=13.5

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2 years ago