Tony's hourly wage is $20 and his net pay is 75% of his earnings. Tony spends about $1,900 on his monthly expenses. If Tony works 40 hours per week and has no other sources of income, what is his net monthly cash flow?

Answer:

381

Step-by-step explanation:

232 + 88 = 320

320 + 61 = 381

Hope this helped and brainliest please

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

the domain of the given function is

the range of the function is,

Answer:

x^2 + 14x + 49

Step-by-step explanation:

The current expression is a binomial because it has two terms (x and a 7).

To make it a trinomial, we multiply x + 7 by itself (because it is getting squared in the expression).

(x + 7)^2 can be written as (x + 7)(x + 7).

To simplify that out, we use the method FOIL. Foil essentially means you multiply the FIRST two values in the parenthesis, and then the OUTSIDE values of the parenthesis and then the INSIDE values of the parenthesis, finally multiplying the LAST values in the parenthesis. This is how it looks:

(x * x) + (7 * x) + (7 * x) + (7 * 7).

Simplifying, we get x^2 + 14x + 49, which has three terms, thus making it a trinomial.

Hope this helps! :)

(4x³- 4 + 7x) - (2x³ - x - 8) is equivalent to expression 2x³ + 8x + 4. Option B

(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)  is equivalent to expression 3x⁴ - 3x² + 5x - 7. Option D

(x² - 2x) (2x + 3) is equivalent to expression 2x³ - x² - 6x. Option A

From the information given, we have that the expressions are;

(4x³- 4 + 7x) - (2x³ - x - 8)

expand the bracket, we have;

4x³ - 4 + 7x - 2x³ + x + 8

collect the like terms, we have;

2x³ + 8x + 4

(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)

expand the bracket, we have;

-3x² + x⁴ + x + 2x⁴ - 7+ 4x

collect the like terms

3x⁴ - 3x² + 5x - 7

(x² - 2x) (2x + 3)

expand

2x³ + 3x² - 4x² - 6x

2x³ - x² - 6x

Learn more about equivalent expression at: https://brainly.com/question/4344214

#SPJ1

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

To know more about equation refer to:

brainly.com/question/187506

#SPJ1

Answer:

C

Step-by-step explanation:

This is because C is the only answer that equals 2 2/3

Option C (2 2/3 = 1 + 1 +1/3 + 1/3) is the correct equation.

A) 2 + 2 + 3 = 7

B) 1 + 1 + 2 + 3 = 7

C) 1 + 1 + 1/3 + 1/3 = 2 2/3

D) 1 + 1 + 1/3 = 2 1/3

I attached a picture to make it simpler!

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

≈ 1.160

Hi there !

115.9% =1159/1000 = 1.159 ≈ 1.160

Good luck !

Answer:

Step-by-step explanation:

180 = x + x + 32

180 - 32 = 2x

148 = 2x

x = 148 / 2

x = 74

Answer:

  y = 1.1x +4.46

  y = 129.86 for x = 114

Step-by-step explanation:

The two-point form of the the equation for a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7

  y = 5.28/4.8(x +1.6) + 2.7

  y = 1.1x +1.76 +2.7

  y = 1.1x +4.46

__

When x=114, the value of y is ...

  y = 1.1(114) +4.46

  y = 129.86

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

Learn more about congruent angles here: https://brainly.com/question/28262429

#SPJ1

Answer:

Plot the Points: (Graph shown below)

Hope This Helps! :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$568.75.

Step-by-step explanation:

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

\(y=-\frac{1}{5}x\ +\ 5.6\)

Step-by-step explanation:

Hey there!

Well the slope of the perpendicular line is -1/5 because that's the reciprocal of 5.

Look at the image below ↓

By looking at the image we can conclude that the equation for the perpendicular line is,

\(y=-\frac{1}{5}x\ +\ 5.6\).

Hope this helps :)

Answer:

\(\boxed{y=-\frac{1}{5}x+\frac{28}{5}}\)

Step-by-step explanation:

Part 1: Finding the new slope of the line

Perpendicular lines have reciprocal slopes of a given line - this means that the slope you are given in the first equation will be flipped and negated.

Because the slope is 5 in the first line, it gets flipped to become \(-\frac{1}{5}\).

Part 2: Using point-slope formula and solving in slope-intercept form

Input the new slope into the slope-intercept equation: \(y=mx+b\). This results in \(y=-\frac{1}{5} x+b\).

Then, use the point-slope equation to get b, or the y-intercept of the equation.

\((y-y_{1})=m(x-x_{1})\)

\((y-5)=-\frac{1}{5}(x-3)\\\\y-5=-\frac{1}{5}x+\frac{3}{5} \\\\y=-\frac{1}{5}x+\frac{28}{5}\)

The resulting number is 12/5

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

Given that we need to, increase the number 15/16 by 3/5 of it, then increase the resulting number by 3/5 of it

So, performing the operations,

15/16+15/16×3/5

= 15/16(1+3/5)

= 15/16(8/5)

= 120/80

= 3/2

Now,

3/2+3/2×3/5

= 3/2(1+3/5)

= 3/2(8/5)

= 24/10

= 12/5

Hence, the resulting number is 12/5

Learn more about arithmetical operations, click;

https://brainly.com/question/30553381

#SPJ2

If events R and S are independent, the probability of both occurring (P(R and S)) is the product of their individual probabilities which will give 3/32.

To calculate the probability that if events R and S are independent, both events occurring (P(R and S)) is the product of the individual probabilities of each event.

So, P(R and S) = P(R) x P(S) = (1/4) x (3/8) = 3/32

This is because when events are independent, the occurrence of one event does not affect the probability of the other event, so the probability of both events occurring is just the product of the individual probabilities of each event.

Find out more on probability here: https://brainly.com/question/24756209

#SPJ1

Answer:

turning point is roughly (-0.3, -2.1)

the roots are: -1.3, 0.8

Step-by-step explanation:

the graph displayed is what is known as a quadratic

the turning point of a quadratic is the bottom of the line (where the line stops going down and starts going up)

the roots of a quadratic graph is where the line crosses the x axis (there are usually two roots but sometimes there are none).

Answer:

1/53 I believe because it says I believe sorry if I am wrong hope you get it right

The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

For such more questions on  number line

https://brainly.com/question/24644930

#SPJ8

Answer:

Step-by-step explanation:

Step 1 is incorrect. It should be:

Correct answer option is B

X-intercept

To find the x-intercept we must replace y=0 and isolate x. Doing so, we have:

5x + 3*(0) = 30

5x = 30 (Multiplying)

x = 30/5 (Dividing by 5 on both sides of the equation)

x = 6

The coordinates of the x-intercept would be (6,0)

Y-intercept

To find the y-intercept we must replace x=0 and isolate y. Doing so, we have:

5*(0) + 3y = 30

3y = 30 (Multiplying)

y = 30 / 3 (Dividing by 3 on both sides of the equation)

y = 10 (Dividing)

The coordinates of the y-intercept would be (0,10)

The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

for such more question on exponents

https://brainly.com/question/4077992

#SPJ8

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

Answer:

Step-by-step explanation:vgggguiiooooo

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

For more questions on  financial

https://brainly.com/question/30620783

#SPJ8

Let's say each row sums to 15

If we had 3 rows, then the total sum would be 3*15 = 45

If we added all of the values in the 3x3 magic square, then we'd get 45 as well.

This is one example showing that

sum of all values = (number of rows)*(magic constant)

You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.