what is the measure of each angle in an equilateral triangle
a.45
b.60
c.90
d.120

Roxanna's normal hourly pay is $12.00.

To find Roxanna's normal hourly pay, we need to first calculate her overtime pay rate. We know that she earns 1.5 her normal hourly rate for overtime pay. Since she earned $72.00 in overtime pay for 4 hours, we can set up an equation to solve for her normal hourly pay:

Overtime Pay = Normal Hourly Pay × Overtime Hours × Overtime Rate

$72.00 = Normal Hourly Pay × 4 × 1.5

Simplifying the equation, we have:

Normal Hourly Pay = $72.00 / (4 × 1.5)

Normal Hourly Pay = $72.00 / 6

Normal Hourly Pay = $12.00

Therefore, Roxanna's normal hourly pay is $12.00.

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To get an overall average of 90% from his six tests, Tim needs to score an average of 95% on his next two tests.

The subject of the question is Mathematics, and it is relevant to the Middle School grade.

To figure out the average score Tim needs on his next two tests to achieve a 90% overall average, we first need to calculate the total score that he needs. As Tim is taking six tests in total and wants an average of 90%, the total score he needs is 6 * 90 = 540

Then, we need to subtract the sum of his scores from the first four tests, which are 82%, 90%, 78%, and 100%. The sum of these four scores is 350.

Now, subtract this sum from the total score he needs, which is 540 - 350 = 190. This means that the total score Tim needs from his next two tests combined is 190%

Finally, to get the average score he needs on each of these next two tests, we divide this total by 2. 190 ÷ 2 = 95. Therefore, Tim needs to score an average of 95% on his next two tests to get an overall average of 90%.

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[tex]AnSwer[/tex]

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once. 

There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct  characteristics. 

Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.

To solve the given system of equations, we set y = x - 4 and y = -3x equal to each other to find x = 1 and subsequently y = -3, giving us the solution (1, -3). Other systems can be solved using methods such as elimination or substitution.

To solve the system of equations, let's start by setting up the equations provided:

1) y = x - 4

2) y = -3x

Since both equations equal y, we can set them equal to each other and solve for x:

x - 4 = -3x
4x = 4
x = 1

Now, we substitute x back into one of the original equations to find y:

y = 1 - 4
y = -3

The solution to the system of equations is (1, -3).

If we look at another set of equations mentioned in the question:

7x - 2y = 24
3x + 9y = 30

We can solve them using the method of elimination or substitution. For example, we can multiply the first equation by 3 and the second by 7, then subtract one from the other to eliminate one of the variables and solve for the other.

90000 that's the answer

can the brainliest answer plz

[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.

To simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]

1. Rewrite the expression using the rule that dividing by a fraction is the same as multiplying by its reciprocal:

[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]=[tex]\frac{4ab}{c} *\frac{2c}{3a}[/tex]

2. Cancel out common factors:

  - 'c' in the numerator and denominator cancels out.

  - 'a' in the numerator and denominator cancels out.

3. After canceling, we're left with:

  4b * ([tex]\frac{2}{3}[/tex])

4. Multiply 4b by [tex]\frac{2}{3}[/tex]:

  4b * [tex]\frac{2}{3}[/tex] = [tex]\frac{8b}{3}[/tex]

So, [tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.

The probable question maybe:

simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex].

the answer is 1296 i think i could be wrong

Final answer:

The exponential form closest to the number 0.0432 is  4 times 10 to the power of negative 2, because it gives us 0.04 which is very close to 0.0432. So the correct option is A.

Explanation:

The student is asking which exponential form is closest to the number 0.0432. To express a number in scientific notation, we move the decimal point to the right or left to create a new number from 1 up to 10, and then we multiply this number by 10 raised to a power that corresponds to the number of places the decimal point was moved.

If we look at the options given:

Therefore, the correct answer is A) 4 times 10 to the power of negative 2, because it is the option closest to 0.0432.

The number of game tokens that the friend has can be represented as the algebraic expression '2T + 5', where 'T' represents the number of game tokens the sister has.

The question asks to express the number of game tokens your friend has in terms of 'T', the number of game tokens your sister has. As the information provided states, your friend has '5 more than twice' the amount which your sister has.

The mathematical expression for this will be '2T + 5', where 2T is twice the number of tokens your sister has and 5 is the extra tokens your friend has over twice your sister's total.

So, if your sister has 'T' number of game tokens, your friend will have '2T + 5' number of game tokens.

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Did the test B and D are correct

Final answer:

To calculate the height of an 8-story building, where each story is 15 4/5 feet tall, multiply the height of one story by the number of stories, resulting in a total height of 126.4 feet.

Explanation:

The question asks how tall a building would be if it has 8 stories, with each story being 15 4/5 feet in height. To find the total height of the building, you need to multiply the height of one story by the number of stories. The height of one story is 15 4/5 feet, which can also be written as 15.8 feet when converted to a decimal. Therefore, the calculation would go as follows:

15.8 feet/story × 8 stories = 126.4 feet

This calculation shows that the total height of the building is 126.4 feet. This example demonstrates how to apply multiplication in real-life scenarios, specifically in calculating the height of structures based on the height of individual stories.

Answer:

 [tex]\displaystyle \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]

Step-by-step explanation:

     We can multiply the number of stories (8) by the height of each story (15 4/5 units) to find how tall the building is.

           [tex]\displaystyle 8*15\frac{4}{5}=8*\frac{79}{5} =\frac{8*79}{5} = \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]

The value of s (side) of rectangle is 8.66 inch.

Here,

The rectangle is divided into three squares.

The total area = 225 square inches.

We have to find the value of s (side).

What is area of square?

The area of square is the product of two equal side.

Now,

The rectangle is divided into three squares.

The total area is 225 square inches.

Hence, Area of rectangle = Total area of three squares

Let side of each square is ''a''

Then, Area of square = [tex]a^{2}[/tex]

Hence,

[tex]225 = a^{2}+a^{2}+a^{2}\\\\225 = 3a^{2}\\\\a^{2} = 75\\\\a = 8.6602[/tex]

The side of rectangle = 8.6602 inch

Now, The value of s to the nearest tenth is 8.66 inch.

Therefore, The value of s (side) of rectangle is 8.66 inch.

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