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Svetradugi [14.3K]
3 years ago
8

Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finishe

d a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining

substract the science problems from the total 43-3=40

And now we can determine the amount of math problems

4/5 = 40/x where x is the total amount of math problems Ivan was assigned

cross multiply

4x = 5*40

4x=200

isolate the variable

4x/4 = 200/4

x=50

So Ivan was assigned a total of 50 math problems

(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation

Hope this helps!

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Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

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<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

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<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

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Learn more about solutions to system of equations here:

brainly.com/question/14550337

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Answer:

1/3

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