Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation

Answers

Answer 1

Answer:

$360

Step-by-step explanation:

Let the amount that she earned on the paycheck be represented by x

Hence,

15% of x = $54

Therefore:

15/100 × x = $54

15x/100 = $54

Cross Multiply

15x = $54 × 100

15x = $5400

x = $5400/15

x = $360

Therefore, the amount that she earned on that paycheck = $360


Related Questions

Which graph shows a line with a slope of 1/2
and a y-intercept of 2?

Answers

Answer:

1.

Step-by-step explanation:

The line goes through positive 2

Answer:

2

Step-by-step explanation:

the slope has to intercept at y=2 and slope is rise over run so you would go up 1 and over 2.

Can someone help me plss! ?

Answers

Sry but that’s too much which one would you like help on

  
Can someone pleaseee help if you’re correct I’ll
Give u brainlist !

Answers

Answer:

Step-by-step explanation:

              Statements                        Reasons

1). UW bisects ∠VUX               1). Given

2). UW bisects ∠VWX             2). Given

3). ∠VUW ≅ ∠WUX                 3). Definition of angle bisector

4). ∠UWV ≅ ∠UWX                 4). Definition of angle bisector

5). UW ≅ UW                           5). Reflexive property

6). ΔUVW ≅ ΔUXW                 6). ASA postulate of congruence

Find the solution(s) to the equation sin(x/2) + cos x - 1 = 0 on the interval 0 less than or equal to x 2pie

Answers: A,B, and E

Answers

Answer:

A: 0

B: pi/3

E: 5pi/3

Step-by-step explanation:

The solution to the trigonometric equation is 0 , π/3 , 5π/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

sin ( x/2 ) + cos ( x ) - 1 = 0

sin ( x/2 ) - ( 1 - cos ( x ) ) = 0

On further simplification , we get

( 1 - cos ( x ) ) = 2sin² ( x/2 )

So , sin ( x/2 ) - 2sin² ( x/2 ) = 0

Taking sin ( x/2 ) as the common factor , we get

sin ( x/2 ) ( 1 - 2sin ( x/2 ) ) = 0

So , the solutions to the equation are

sin ( x/2 ) = 0

x = 0 , 2π

And , ( 1 - 2sin ( x/2 ) ) = 0

sin ( x/2 ) = 1/2

x = π/3 , 5π/3

Hence , the solutions are x = 0 , π/3 , 5π/3

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ2

pls help ill give a brainly ​

Answers

Answer:

C. Positive 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

because we find the reciprocal and 9 divided by -3 and 8 divided by -4

9 divided by -3 is  -3 and 8 divided by -4 is -2

so -3 times -2 is 6

Anyone know? Thank you!!

Answers

Answer:

reflect over x axis

x+3  y+3

Step-by-step explanation:

The slope of the line is -1 the y intercept is (0,-6)

Answers

Answer:

y=-1x-6

Step-by-step explanation:

you can also use y=-x-6 but its your choice

Brainliest if answered

Answers

Answer:

Hope This Helps!!

it's not perfect.. but we get the idea...

Solve this help me

It is the question of class 10 Maths​​

Answers

Answer:

[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]

Therefore;

[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]

Step-by-step explanation:

Given that we have;

[tex]x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }[/tex]

[tex]x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]

[tex]x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]

[tex]x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]

Therefore;

[tex]x^3 = \dfrac{9 \cdot x + 10}{3}[/tex]

[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]

Find the angle measure D FIRST ANSWER GETS BRAINIEST

Answers

Answer:

its 44

Step-by-step explanation:

180=46+90+x

180=136+x

44=x

On a number line, what is the distance between -57 and 13?
A)
-70
B)
-44
9
44
D)
70
Helpppppp

Answers

Answer:

-70 so A

Step-by-step explanation:

Answer:

D) 70

Step-by-step explanation:

Here is the correct mathematical way of find a distance between two points on the number line.

Take the absolute value of the difference of their coordinates.

If the points on a number line correspond to coordinates a and b, the distance between the points is

|a - b|

Your problem:

|a - b| = |-57 - 13| = |-70| = 70

The distance is 70.

Answer: D) 70

What is the slope of a line that is perpendicular to the line y=2x+3?

Answers

Answer: -1/2

Step-by-step explanation: whenever a line is perpendicular you take the opposite reciprocal of the current slope.

Hello!

Perpendicular lines have slopes that are opposite reciprocals.

It means we take a number, flop it over and then make it negative.

So if we have 2, we flop it over:

[tex]\frac{1}{2}[/tex]

Then, we make it negative:

[tex]-\frac{1}{2}[/tex]

That is the slope. Hope it helps

If you have any query, please ask me! :)

~A forlorn girlie

[tex]MagicalNature[/tex]

Is 9÷1/3 = 9×3? Please help...

Answers

Yes! Skip, flip, multiply. So you are correct!
yup because 1/1 / 1/3= 1/1•3/1

Write the expression in simpleist form PLZ WILL GIIVE BRAINLIEST
4 + 4x + 6x - 3
1. 29x + 3
2. 75x + 3
3. 22x + 1
4. 10x + 1

Answers

It’s 4! 10x+1 I hope this helps!
The answer is the last one 10x+1.

Graph the line y = 7/2x - 5

Answers

Answer:

slope: 7/2

y-int: (0, -5)

(0, -5) (10/7, 0)

The starting line for a race in Pike is 2.4 miles from the finish line. On a map of the course, the starting and finish lines are 1 inch apart. What scale does the map use?

Explain how I solve it?

Answers

Answer:

The scale factor is 152,064:1

Step-by-step explanation:

Scaling

The real distance of a race track in Pike is 2.4 miles.

One mile is equivalent to 63,360 inches, thus 2.4 miles = 152,064 inches.

On a map, that very same distance is represented as 1 inch. Thus the scale factor is 152,064:1

This means every inch on the map is equivalent to 152,064 inches on the race track.

Marcus solved a problem and found out that 190% of 20 is 380. Is he correct

Answers

Answer: He is Incorrect, It's 38

Work: For this question, I did the Cross-Product Method. The Cross Product Method is when you solve equation via to fractions. With the CPM, One one side of the fraction, I had x / 20 (Twenty being the whole number) and on the other side, I had 190/100 (190 being the percent) After setting this up, I made the equation. 190 times 20 is 3800, and the other multiplication is 100 times x which is 100x. So, the new equation is 3800 = 100x. I divided both sides by 100, and the answer is 38 = x

I hope this helps, and Happy Holidays! :)

Answer:

No, Marcus is not correct. He converted the percent to a decimal correctly and he multiplied correctly, but he put the decimal in the wrong place in the answer. There should be two decimal places in the answer, so the answer should be 38.

Step-by-step explanation:

I took the assingment in edge 2020

Developmental norms are used as a benchmark to determine where one should be developmentally. Please select the best answer from the choices provided T F

Answers

Answer:

True

Step-by-step explanation:

ed 2020. I went back to check the answer so 100% right.

Answer:

tru

Step-by-step explanation:

Find the Valur that Would make the graphs parallel... Its alegebra please help quick i need help!

Answers

Answer:

k=8

Step-by-step explanation:

For 2 lines to be parallel, they must have the same slope. First, let's isolate y.

5y=2x+2

y=2/5x+2/5

Now, in our second equation, we must make it so that the slope is 2/5.

5(4)=20

2(4)=k

k=8

y=8/20x+10

If you simplify that, then the slope will be 2/5.

Solve x^0 someone help me please

Answers

Answer:

x = 1

Step-by-step explanation:

Manuel bought a 3/5 of a pound of clay for the students in his pottery class. He then divided the clay into 6 equal pieces for his students to use for making vases and pots. How much did each piece weigh?
Group of answer choices

Answers

Answer:

Each piece weighed 1/10 of a pound.

Step-by-step explanation:

We have 3/5 of a pound and we want to divide it by 6 equal pieces for each student. 6 equal pieces is the same as 6/1.

In order to divide 3/5 by 6/1 we need to invert the 6/1 and multiply. So, it becomes 3/5 x 1/6. First, we multiply the numerators: 3x1=3 then we multiply the denominators: 5x6=30. The result is 3/30, which can be reduced by dividing both the numerator and denominator by 3. 3/3=1 and 30/3=10. So, the result is 1/10.

A relation is plotted as a linear function on a coordinate plane starting at point C at (3, –2) and ending at point D at (–2, 3). What is the rate of change for the linear function and what is its initial value?The rate of change is ______ and the initial value is ______.

Answers

Given:

A linear function starting at point C at (3, –2) and ending at point D at (–2, 3).

To find:

The rate of change and the initial value.

Solution:

If a linear function passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given linear function passes through (3,-2) and (-2,3). So, the equation is

[tex]y-(-2)=\dfrac{3-(-2)}{-2-3}(x-3)[/tex]

[tex]y+2=\dfrac{3+2}{-5}(x-3)[/tex]

[tex]y+2=\dfrac{5}{-5}(x-3)[/tex]

[tex]y+2=-(x-3)[/tex]

Subtracting 2 on both sides, we get

[tex]y=-x+3-2[/tex]

[tex]y=-x+1[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], where, m is slope and b is y-intercept, we get

[tex]m=-1[/tex] and [tex]b=1[/tex]

Therefore, the rate of change is -1 and the initial value is 1.

20 points!! please help im struggling bad with this ):

Answers

Answer: Andy completed 7 problems.

Step-by-step explanation:

Four less than the sum of a number and six is ten.


Someone please help

Answers

Answer:

8

Step-by-step explanation:

since u first do six + 8 which is 14. Then u do 14 - 4 which is 10

Plz mark as brainliest

Answer:

x=2

Step-by-step explanation:

x = the number

 

x + 6 = 6x - 4

 

Solve for x and get

 

5x = 10

Please help me i dont know how to do this!!

Answers

Answer:

-1/2 is m and 3 is b

Step-by-step explanation:

-1/2 is the slope and 3 is the y-intercept,

Answer:

Step-by-step explanation:

The slope m is -1/2

The y-int b is 3

Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int

Reilly and Samantha work at frosty freeze ice cream shop. Reilly works every other day, and Samantha works every third day. Today they are working together. How many days will it be until the next time they work together?

Answers

Answer:

6 days

Step-by-step explanation:

Given that Reilly works every other day (This means that she works every 2 days) while Samantha works every third day. Today both of them are working together.

The next day none of them will be working, on the second day only Reilly would be working, on the third day only Samantha would be working, on the fourth day only Reilly would be working, on the fifth day none will be working and on the sixth day both Reilly and Samantha would be working.

This is the same as finding the least common multiple (LCM) of 2 days and 3 days which is 6 days

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Solve
[tex] log_{ \sqrt{2} }x = 6[/tex]
then value of x =?​

Answers

the value of x would be 8

Which of the following measurements could be the side lengths of a right triangle?
A. 60 in, 80 in, 100 in
B. 60 in, 80 in, 120 in
C. 60 in, 90 in, 100 in
D. 50 in, 80 in, 100 in

Answers

Answer:

Option A

Step-by-step explanation:

for right angle triangle a²+b²= c²

60²+80²= 10000

√10000= 100

hope it helps!

AAAAAAAAAAAAAAAAAAAA

The answer A.

A as in Apple.

which statement best describes the value of square root of 8?

a. the value of 8 is 2
b. the value of 8 is 4
c. the value of 8 is between 2 and 3.
d. the value of 8 is between 7 and 9.

Answers

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

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