After taxes, Alexandra's take home pay is 7 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $378 of take-home pay. Let s represent your variable.

Answers

Answer 1

Answer:

$540

Step-by-step explanation:

Let s be Alexandria's salary before taxes.

Let t be her take-home after taxes = $378

The question says her take-home is 7/10 of her salary before taxes

So to calculate what her salary was before taxes:

s x (7/10) = $378

We divide both sides by 7/10

S = 378 ÷ 7/10

S = 378x10/7

S = 3780/7

S = 540

Therefore from the calculations above, her salary before taxes was $540


Related Questions

Consider the following 8 numbers, where one labelled x is unknown. 42, 47, 5, x , 18, 12, 50, 1 Given that the range of the numbers is 59, work out 2 values of x .

Answers

The two possible values for x are x = 60 and x = -9

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

Explanation:

Let's assume that x is the largest value of the list. If so then x = 60 because

range = max - min

range = x - 1

range = 60-1

range = 59

Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.

So x = 60 is one possible value. We can't have x any larger or the range would be larger.

But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value

Here's why

range = max - min

range = 50 - x

range = 50 - (-9)

range = 50+9

range = 59

CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM

Answers

Step-by-step explanation:

Hey there!

Simply work with it.

As it is a Right angled triangle, taking angle 40° as a reference angle. Then,

Length of board = hypotenuse = 15 feet.

To find: height of ladder = perpendicular.

Now,

Taking sin ratio,

[tex] \sin = \frac{p}{h} [/tex]

[tex]sin \: 40 = \frac{p}{15} [/tex]

or, as in per the given sin value is 0.6428

so,

[tex]0.6428 = \frac{p}{15} [/tex]

or, 15 × 0.6428 = p

or, p = height of ladder = 9.642.

Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.

Hope it helps...

what are the aspects of a good setter in volleyball

Answers

Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.

encourages hitters when they are playing well and when they aren't playing well.

(I used to play volleyball myself)

2(c + 3) = c - 13
Solve

Answers

Answer:

-19

Step-by-step explanation:

2 (c + 3) = c - 13

2c + 6 = c - 13

2c + 19 = c

19 = - c

c = - 19

can you please tell me the right ans​

Answers

Answer: i) 512,000 cm³      ii) 512,000 cc        iii) 512 litres

Step-by-step explanation:

Volume (V) of a cube is side (s) cubed:    V = s³

Given: s = 80 cm

i) V = (80 cm)³

      = 512,000 cm³

ii) 512,000 cm³ = 512,000 cc

iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters

2
3) In which quadrant of the coordinate plane will the ordered pair (-8, 7)
be found? *

Answers

Answer:

2 cuadrante

Step-by-step explanation:

1) 9 + 2h - 16
-7 + 2h

Answers

9+2h-16-7+2h = -2(7-2h)
2 (7-2h) is the answer

imagine an investigation in which 40 students were asked to determine their chronotype by choosing from among four chronotypes instead of three: morning person, night person, neither, or both. If there is no relationship between chronotype and birth month, about what fraction of the students would you expect to pick the chronotype that matches their birth month? why do you think this?

Answers

Step-by-step explanation:

A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.

The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.

The chronotypes are : Morning person, night person, neither/both.

It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.

Find the slope of the line through each pair of points. (-17,-5), (15.-13)

Answers

-.25 I could be wrong

solve this question please: x² = -169​

Answers

Answer:

13i, -13i

Step-by-step explanation:

To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions

The point (1/3,1/4) lies on the terminal said of an angle. Find the exact value of the six trig functions and explain which functions are reciprocal functions to each other

Answers

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle ([tex]\frac{1}{3},\frac{1}4[/tex]).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A([tex]\frac{1}{3},\frac{1}4[/tex])

Let O be the origin i.e. (0,0)

Point B will be ([tex]\frac{1}{3},0[/tex])

Now, let us consider the right angled triangle [tex]\triangle OBA[/tex]:

Sides:

[tex]Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}[/tex]

Using Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}[/tex]

[tex]sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}[/tex]

[tex]cos\angle AOB = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}[/tex]

[tex]tan\angle AOB = \dfrac{Perpendicular}{Base}[/tex]

[tex]\Rightarrow tan\angle AOB = \dfrac{3}{4}[/tex]

[tex]cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}[/tex]

[tex]\Rightarrow cosec\angle AOB = \dfrac{5}{3}[/tex]

[tex]sec\angle AOB = \dfrac{Hypotenuse}{Base}[/tex]

[tex]\Rightarrow sec\angle AOB = \dfrac{5}{4}[/tex]

[tex]cot\angle AOB = \dfrac{Base}{Perpendicular}[/tex]

[tex]\Rightarrow cot\angle AOB = \dfrac{4}{3}[/tex]

Are terms and ratios related?

Answers

No terms and ratios are not related because ratios compare two quantities and terms are single numbers and variables

Given the equation, 5x + 10y = 20, what are your x and y-intercepts? Explain your thought process and steps in your reply.

Answers

Answers:

x intercept = 4

y intercept = 2

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

Explanation:

To find the x intercept, plug in y = 0 and solve for x

5x+10y = 20

5x+10(0) = 20

5x = 20

x = 20/5

x = 4

The x intercept is x = 4, which means it is located at the point (4,0)

-----------------------

We'll flip things around for the y intercept. Plug in x = 0 and solve for y to get the y intercept.

5x+10y = 20

5(0)+10y = 20

10y = 20

y = 20/10

y = 2

The y intercept is located at (0,2), but we can just say "the y intercept is 2" as an alternative.

A recipe that makes a dozen cookies calls for 1 1/2 cups of milk, 2.25 cups of flour, and 1 1/4 cups of other ingredients. How many cups of other ingredients, milk and flour are needed to make 36 cookies? (1 dozen is 12 cookies)

Answers

Answer:

15 cups

Step-by-step explanation:

[tex]1\frac{1}{2} \:cups \:of\:milk\\2.25\:cups \:of\:flour\\1\frac{1}{4} \:cups\:of\:other\:ingredients\\\\Total = 1\frac{1}{2} + 2.25 + 1\frac{1}{4} \\= 5\:cups\\\\1\:dozen = 5\:cups\\3 \:dozen(36\:cookies) = x \:cups\\\\Cross\:multiply\\\\x = 5\times 3\\x = 15 \:cups[/tex]

I need help with solving this equation! ( answer is supposed to be 3.888 but I have been getting a different answer every time!) 3.24 x 1.2

Answers

Answer:

I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888

Answer:

Step-by-step explanation:

If you can't use a calculator break it apart.

1 X 3.24 is 3.24

Now take .2 x 3.24   this is easy, just remember to move the decimal in the answer one more to the left.

  3.24

x      .2

 .684        moved the decimal one more spot

Now we take 3.24 + .684

   3.24

+    .648

   3.888

The product of 2 and a number x is 3/4. What is the value of x? x=5/4 x=3/8 x=1 1/4 x=3/2

Answers

Answer:

x=3/8

Step-by-step explanation:

2*x=3/4

x=3/4*2

x=3/8

Answer:

9

Step-by-step explanation:

6y-10y-11=8y-2y+29 step by step?

Answers

Step-by-step explanation:

6y - 10y - 11 = 8y - 2y + 29

6y - 10y +16y - 11 = 8y - 2y + 29 + 16y

-11 = 22y + 29

11 = 22y + 40

-29 = 22y

Not sure yet I think I made a mistake hold up

It was 12°C one person got home from school. The weather for port show me a story moving in the world drop the temperature by 70 Celsius. What is the expected temperature?

Answers

Answer:

Expected temperature = - 58°C

Step-by-step explanation:

Given:

Current temperature = 12°C

Drop in temperature = 70°C

Find:

Expected temperature

Computation:

Expected temperature = Current temperature - Drop in temperature

Expected temperature = 12°C - 70°C

Expected temperature = - 58°C

Which of the following is a quantitative variable?


Temperatures in New York from January to March

Price of gas at three different gas stations

Population density of a town

Symbols of elements on the periodic table

Answers

Answers: A, B, C

These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.

In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).

9 tickets cost $54.  How much do 4 tickets cost? ​

Answers

Let's make a proportion to solve this problem.

[tex]\frac{9}{54}=\frac{4}{x}[/tex]

[tex]9x=216[/tex]

[tex]x=24[/tex]

4 tickets cost $24

Hope this helps.

頑張って!

You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area a of the shelf X is (15,20) Z is (0,5) Y is (15,5)

Answers

Answer:

[tex]Area = 112.5[/tex]

Step-by-step explanation:

Given

[tex]X = (15,20)[/tex]

[tex]Y = (15,5)[/tex]

[tex]Z = (0,5)[/tex]

Required

Determine the area of the triangle

The area is calculated using the following formula:

[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]

Where

[tex](X_x,X_y) = (15,20)[/tex]

[tex](Y_x,Y_y) = (15,5)[/tex]

[tex](Z_x,Z_y)= (0,5)[/tex]

Substitute right values in the given formula:

[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]

[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]

[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]

[tex]Area = |\frac{225}{2}|[/tex]

[tex]Area = |112.5|[/tex]

[tex]Area = 112.5[/tex]

Hence, the area of the triangle is 112.5

What is the distance rounded to the nearest tenth, between the points (0, 5) and (8, 0)?

Answers

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

Given the equation ay − b = c, which expression represents y? a.) c-b/a b.) c+b/y c.) c+b/a d.) c+a/b

Answers

Answer:

Option C.  y = ( c + b ) / a

Step-by-step explanation:

For this problem, we must simply isolate the y variable from the unknowns a, b, and c.

ay - b = c

ay - b + b = c + b

ay = c + b

ay * ( 1 / a ) = ( c + b ) * ( 1 / a)

y = ( c + b ) * ( 1 / a )

y = ( c + b ) / a

Thus, we will want to choose option C.

Cheers.

If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(-1)?

Answers

Answer:

f(-1) = 1

Step-by-step explanation

[tex]f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1[/tex]

Mike ans his three friends decided to divide the lunch bill evenly.They are trying to figure out how much each person owes if the total bill was $52. Which equation models the scenario? a)52/4=x b)52/3=x c)52x=4 d)52x=3

Answers

Answer:

b

Step-by-step explanation:

x is the number each person will get

b is the only possible answer

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

The graph is not a function of x because the line x = 0 intersects the graph at two points.

The graph is a function of x because the line x = 5 does not intersect the graph.

The graph is not a function of x because the line y = 0 intersects the graph at two points.

The graph is a function of x because the line y = 5 does not intersect the graph.

Answers

Answer:

The answer is either a or c .

Step-by-step explanation:

Answer:

c yw

Step-by-step explanation:

A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was turned on for 3 hours. The amount of water in the bucket can be modeled by the function f(x) = |x| over the interval [−6, 3], where x is the time, in hours, and y is the amount of water in the bucket, in gallons. Which translation of the graph represents the last 3 hours of the leak, and the tap running for 6 hours? Group of answer choices g(x) = |x − 3| g(x) = |x| + 3 g(x) = |x| − 3 g(x) = |x + 3|

Answers

Answer:

The answer is g(x) = |x - 3|

Step-by-step explanation:

Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|

We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.

Then in the interval [-6, 0) the bucket was leaking

In the interval [0, 3] the bucket was being filled.

Now we want a transformation that represents the last 3 hours of leaking.

Also, remember that for a general function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left

If N is negative, the translation is to the right.

If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.

So, if we define the function as:

g(x) = f(x - 3)

when we evaluate g(x) in zero we get:

g(0) = f(-3)

So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.

Remembering that f(x) = |x|

We can see that the correct option is:

g(x) = f(x - 3) = |x - 3|

g(x) = |x - 3|

Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).

If you want to learn more, you can read:

https://brainly.com/question/13435754

What is the pattern as the exponents decrease

Answers

Answer:

Divide the previous value by 5

Step-by-step explanation:

divide by 5 from the value before

Please help me with this answer

Answers

Answer:

0.703

Step-by-step explanation:

19/70 = 70.37/100

Hope This Helps :)

Answer:

0.7037

Step-by-step explanation:

0.7037 is a decimal and 70.37/100 or 70.37% is the percentage for 19/27.

What equation matches this situation?
—John wants to buy an MP3 Player that costs $30. How much change did he receive
if he gives the cashier $40–

Answers

the first box should be correct
30 + c = 40
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