MATHEMATICS HIGH SCHOOL

In the circle graph above, you can see that 47% of the company's monthly income is used to pay the owner's personal salary. If the amount of the owner's personal salary was $2,176.10 this month, what was
the company's total monthly income this month?

Answers

Answer 1
Answer: x is the company's monthly income
x*0.47 = 2176.10, owner's salary
solve for x

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What is 0.005 expressed as a fraction
Which of the following shows 12∕28 written in prime factored form to help in reducing the fraction to simplest form? A. 7×2×2∕3×2×2 B. 3×2×2∕7×2×2 C. 3∕7 D. 6×2 ∕7×4
Help plz show workWrite the inequality alberacally graph the inequality on the real number lineWrite the inequality in interval notation.7.x is not equal to 3.8. x is not equal to 3.9. x is not equal to 2 and x is not equal to 7.10.x is not equal to -4 and x is not equal to 0.
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Ronnie wants to buya computer table that measures 10 feet by 17 feet.The cost of the table is $16 per square foot.How much will it cost Ronnie to buy the computer table for his study?

Answers

find how many square feet it is
assumng the table is a rectangle
area=legnth times width
area=10 times 17=170

16 per 1 square foot
16 imes 170=2720

answer is $2720

If two lines are parallel, which statement must be true?A.The two lines have undefined slopes. 
B.The two lines have opposite slopes. 
C.The two lines have zero slopes. 
D.The two lines have the same slope.

Answers

Answer:

Option (d) is correct.

The two lines have the same slope.

Step-by-step explanation:

Given : two parallel lines

We have to choose one statement that is true regarding Parallel lines.

Parallel lines are those lines that do not intersect each other and distance between them remains same throughout the plane.

Also , parallel lines have same slope.

From the graph attached below both lines have parallel and have same slope.

equation of line :

2x + 3y = 10  and 6x + 3y = 10

Both are parallel and have slope -2

Thus, Option (d) is correct.

The two lines have the same slope.
Answer: Option D. The two lines have the same slope.

When two lines are parallels, they must have the same slope and they never intersect, then answer is:
Option D. The two lines have the same slope.

What is the simplified form of the quantity of x plus 8, all over the quantity of x plus 2 + the quantity of x minus 3, all over 4?

Answers

Answer:  (x^2+3x+26)/(4x+8)

Step-by-step explanation:

Since, according to the question the given expression,

(x+8)/(x+2) + (x-3)/(4)

=(4(x+8)+(x-3)(x+2))/(4(x+2))

=(4x+32+(x-3)(x+2))/(4x+8) (By solving the parenthesis )

=(4x+32+x(x+2)-3(x+2))/(4x+8) ( by distributive property)

=(4x+32+x^2+2x-3x-6)/(4x+8) ( again on applying distributive property)

=(3x+26+x^2)/(4x+8)( by operating like terms)

=(x^2+3x+26)/(4x+8)
(x + 8)/(x + 2) + (x - 3)/(4) = (4(x + 8))/(4(x + 2)) + ((x + 2)(x - 3))/(4(x + 2)) = (4(x) + 4(8))/(4(x + 2)) + (x(x - 3) + 2(x - 3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x(x) - x(3) + 2(x) - 2(3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - 3x + 2x - 6)/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - x - 6)/(4(x + 2)) = ((4x + 32) + (x^(2) - x - 6)/(4(x + 2)) = (x^(2) + (4x - x) + (32 - 6))/(4(x + 2)) = (x^(2) + 3x + 26)/(4(x + 2))

The minimum value is the smallest y-value of a function. true or false.

Answers

The correct answer is:

True.

Explanation:

The definition of a minimum in a function is the point whose y-coordinate is less than every other y-coordinate in the function.

This is because the y-coordinate tells us how far up or down from the x-axis a point lies. If it is a minimum point, this means there is no point below it; there is no point with a smaller y-value.

Answer:

true

Step-by-step explanation:

The minimum value of a function is the place where the graph has a vertex at its lowest point.

The height of a point is given by its y value, then the minimum value is the smallest y-value of a function.

If the smallest angle of a triangle is 20 degrees and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest side of the triangle is 3.2 - true or false?

Answers

Answer:

The answer is False

Step-by-step explanation:

we know that

Applying the law of cosines, find the length of the third side of the triangle

c^(2)= a^(2)+b^(2)-2abcos(C)

In this problem we have

a=4\ units, b=7\ units, C=20\°

substitute the values and solve for c

c^(2)= 4^(2)+7^(2)-2*(4*7)*cos(20\°)

c= 3.5\ units -------> smallest side of the triangle

therefore

3.5\neq 3.2
Hello,
Al 'Kashi theorem says:

a²=4²+7²-2*4*7*cos 20°=12.37721...
==>a=3.518126381...≈3.5 ==>False.

How many solutions does the system have?x = -4y + 4
2x + 8y = 8

A. one solution
B. two solutions
C. infinitely many solutions
D. no solution

Answers

If you would like to know how many solutions does the system of two equations have, you can calculate this using the following steps:

x = -4y + 4 ... x + 4y = 4      /*(2)
2x + 8y = 8
____________
2x + 8y = 8
2x + 8y = 8
____________
0 = 0

The correct result would be infinitely many solutions.
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