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3 years ago

15

Lyla took a total of 16 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes wil

l Lyla have taken in total? Assume the relationship is directly proportional.

1 answer:

just olya [345]3 years ago

3 0

32 quizzes. If you make a proportion of quiz/weeks it would be 16/4 = x/8. Multiply by 2.

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4y-x=6 solve the equation for x

Gwar [14]

Answer:

x=6

Step-by-step explanation:

you have to find the y value which should be 3 then subtract the x value. Which should be 6

5 0

3 years ago

If ex + e⁻¹= 2, then x =..

harkovskaia [24]

Answer:

$\rm x = \dfrac{2e - 1}{ {e}^{2} }$

Step-by-step explanation:

$\rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} }$

6 0

3 years ago

Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually

marysya [2.9K]

The income tax rate must be 29%.

Given that,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

If the Thai government wants to raise $70 billion in tax revenue,

We have to find,

The approximately where should it set the income tax rate?

According to the question,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

$\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810$

If the Thai government wants to raise $70 billion in tax revenue,

Then,

The income tax rate is,

$\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent$

Hence, The income tax rate must be 29%.

For more details refer to the link given below.

brainly.com/question/16016455

6 0

2 years ago

What product is positive ?

s344n2d4d5 [400]

<h3>Answer: Choice D</h3>

=======================================================

Explanation:

The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.

The shortest way is to simply count how many negative signs each expression has.

The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.

For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.

Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.

Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.

5 0

3 years ago

What is the solution to the equation sqrt8x= sqrt4+2x

sp2606 [1]

I'm going to make some assumptions here:

That your sqrt8x= sqrt4+2x means √(8x) = √(4+2x). (There are other interpretations.)

Squaring both sides, 8x = 4 + 2x, or 6x = 4, or x = 4/6, or x = 2/3.

3 0

3 years ago