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:

She earned $360 on that paycheck.

Step-by-step explanation:

From the information given, you know that Angela transfers 15% of each paycheck and that she transferred $54 last week. With this, you can say that the amount she earned multiply for 15% is equal to 54, which you can express with the following equation:

0.15x=54, where x is the amount she earned on that paycheck.

Now, you can solve for x:

x=54/0.15

x=360

According to this, the answer is that she earned $360 on that paycheck.


Related Questions

Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1 Quadrant II Quadrant II Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)

Answers

Answer:

(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think

Does anyone know how to do this?

Answers

Answer:

y= Ix-3I    (that says absolute value btw)

Step-by-step explanation:

Answer:  y = |x-3|

This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.

We don't shift up or down since the vertex is on the x axis.

We also don't vertically compress or stretch the graph either.

Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.

Drake needs to drill holes in a wooden plank. The holes will have a diameter of 0.5 millimeters, with an error allowance of 0.05 millimeters. Which equation can be used to find the minimum and maximum acceptable diameters?

Answers

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

Helpppp fasttt!!!!!!!!

Answers

Answer:answer is the first one

Step-by-step explanation:

Collect like terms such as grouping the t and s variables together. The -3 should be included in the equation. Solution in pic below.

Which table represents a linear function?

Answers

The one on the top is the answer

Answer:

the bottom table (1,-5)

Step-by-step explanation:

the equation is y=5x-10

the equation has no multiple powers involved like cubed or squared

Please help!!! Thank you!

Answers

Answer:

<6, <4,

Step-by-step explanation:

Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.

Hope this helps!

A grocery store recently sold several cans of soup.
32
split pea
black bean
minestrone
mm
vegetable beef 3
lentil
21
What is the experimental probability that the next can sold will be lentil soup?
Write your answer as a fraction or whole number.
P(lentil) =
Submit
don't know this

Answers

Answer:

21/60

Step-by-step explanation:

32 + 1 + 3 + 3 + 21 = 60

ans = 21/60

Answer:

Step-by-step explanation:

21/60

I need help with this proof!

Answers

Answer:

Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.

Step-by-step explanation:

Please help!!!
Find the value of x for which l || m.

Answers

Answer:

i can't see the pic clearly

Step-by-step explanation:

Question 5 please help out

Answers

Answer is B because square root of 55 is 7.41

Answer:

B

Step-by-step explanation:

try typing into ur calc. that is the answr u get!!

Hope this helps!! Pls mark me brainliest!!

WILL MARK BRAINLIEST
One side of a triangle is twice as long as a second side. The remaining side is 3 larger than the second side. The perimeter is 39m. Find the length of each side.

Answers

Answer:

Lengths all the three sides are 9m, 18m and 12m

Step-by-step explanation:

Let us assume the length of the second side  to be x m

According to the question:

first side = 2x

third side = x + 3

Applying the formula of perimeter:

Perimeter = length + breadth + height

39 = 2x + x + (x + 3)

39 = 2x + x + x + 3

39 = 4x + 3

39 - 3 = 4x

4x = 36

x = [tex]\frac{36}{4}[/tex]

x = 9

length of the first side (x) = 9 m

length of the second side (2x) =2 × 9 =18 m

length of the third side (x + 3) = 9 + 3 = 12 m

∴ lengths all the three sides are 9m, 18m and 12m

26.25 rounded to the nearest tenth

Answers

Answer: 26.3

Step-by-step explanation:

26.3 because the 5 rounds up the 2 to a 3.

2x+7y=3
X= -4y
X=?
Y=?

Answers

Answer:

x=12, y=-3

Step-by-step explanation:

Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.

Rewrite the expression using the division symbol and as a fraction. The quotient of m and 11

Answers

M÷11 M/11

Step-by-step explanation:

when you find the quotient you divide so when you divide with a fraction you take what number you were given first and out it on top of the number you were given second

what method is this?

Answers

Answer : nothing
Explaination : “ Nothing Method ” is found by someone in this world

1 1/3 TIMES 2 3/4 =
ANSWER ASAPPPP
EXPLAIN STEP BY STEP

Answers

Answer:

1/2

Step-by-step explanation:

Calculator :)

Michelle ordered shirts to sell at the school carnival. She paid $2.80 per shirt, she adds a
150% markup to the total price she paid for the shirts.
What is the selling price of each shirt?

PLEASE HELP!! Any help will be greatly appreciated!

Answers

Answer:

The selling price is $7

Step-by-step explanation:

Step one:

Given information

She paid $2.80 per shirt

She adds a  150% markup to the total price she paid for the shirts

Let us find 150% of $2.80

=150/100*2.8

=1.5*2.8

=$4.2

Hence the selling price is the markup price plus the cost price

=4.2+2.8

=$7

Please I really need help

Answers

Answer:

Extreme fitness: y=10x+50

Ultimate fitness:y=15x+30

Step-by-step explanation:

The ratio of the number of red cards to the number of black cards in a deck is 3:10
2 more cards are added to the deck.
The ratio of red to black cards in the deck is now 1:3
How many black cards are in the deck?

Answers

Answer:

Then the black cards=12

Step-by-step explanation:

N of red=3

N of black=10

and we have ratio 3:10

think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3

                   ⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3

                   ⇒add 2 to black, the ratio will be 3:12 = 1:3

Then the black cards=12

hope this helps!

Answer:

Either

(1) there were originally 60 black cards, and 2 red cards were added, or

(2) there were originally 20 black cards, and 1 red card and 1 black card were added.

Step-by-step explanation:

The ratio of red cards to black cards is 3:10.

Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as

3k/10k

After adding 2 cards, the ratio of red cards to black cards becomes 1:3.

There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.

Possibility A: add two red cards

(3k + 2)/(10k) = 1/3

10k = 9k + 6

k = 6

3k/10k = 3(6) / 10(6) = 18/60

There were originally 60 black cards.

Possibility B: add 1 red card and 1 black card

(3k + 1)/(10k + 1) = 1/3

10k + 1 = 9k + 3

k = 2

3k/10k = 3(2) / 10(2) = 6/20

There were originally 20 black cards.

Possibility C: add two black cards.

(3k)/(10k + 2) = 1/3

10k + 2 = 9k

k = -2

3k/10k = 3(-2) / 10(-2) = -6 / -20

We cannot have a negative number of cards.

No solution.

Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.

A group of 5 friends want to buy a flat-screen TV for $210. The tax comes to $15. Write and solve a multiplication equation to find how much money each person should pay if each person pays the same amount.

Answers

Answer:

$45

Step-by-step explanation:

In order to create a multiplication equation, we would need to use a single variable that represents the amount that each friend will pay. This can be represented by the variable x. We multiply this variable by the number of friends which should equal the total of the TV with the tax included. Like so...

$210 + $15 = 5x

Now that we have the equation we can go ahead and solve it by adding the total and the tax, and then dividing both sides by 5 in order to isolate x.

$210 + $15 = 5x

$225 = 5x

$45 = x

Finally, we can see that each friend will pay the same amount which is $45

Simplify and solve the equation 1/3x+3=4

Answers

Answer:

X = 1/3

Step-by-step explanation:

Multiply all terms by x and cancel:

1

3

+3x=4x

3x+

1

3

=4x(Simplify both sides of the equation)

3x+

1

3

−4x=4x−4x(Subtract 4x from both sides)

−x+

1

3

=0

−x+

1

3

1

3

=0−

1

3

(Subtract 1/3 from both sides)

−x=

−1

3

−x

−1

=

−1

3

−1

(Divide both sides by -1)

x =  1 /3

Check answers. (Plug them in to make sure they work.)

x =  1 /3

(Works in original equation)

Find mc when quadrilateral ABCD is a parallelogram.

Answers

Answer:

A

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, thus

∠ C = ∠ A = 57°

Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
A.
r=130−2.5

B.
130=r2.5

C.
r=1302.5

D.
130=r+2.5

PLEASE HELP! ITS FOR A TEST!!

Answers

Answer:

B

Step-by-step explanation:

It's B my guy

Answer:

B.)

Step-by-step explanation:

r= 130/2.5

130=r2.5

it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.

5x - 2y = 33
5x + 8y = 18
Solve the simultaneous equations.

x=__
y=__

Answers

Answer:

x=6

y=-3/2

Hope this helps

Evaluate

|15 - 23 | =

Answers

Answer:

8

Step-by-step explanation:

[tex] |15 - 23| = | - 8| = 8[/tex]

If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
Question 18 options:

A)

an = (1∕3)n – 1 for n ≥ 1

B)

an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1

C)

an = (3) ⋅ (1∕3)n – 1 for n ≥ 1

D)

an = (3) ⋅ (3)n – 1 for n ≥ 1

Answers

Answer:

B

Step-by-step explanation:

A banks loan officer writes applications for credit the ratings are normally distributed with a mean of 200 and a standard deviation of 50 fine P 60 the score which separates the lower 60% from the top 40% round to 1 Decimal Pl.

Answers

Answer:

212.7

Step-by-step explanation:

Calculation to Find P60 the score which separates the lower 60% from the top 40%

First step is to find z of 60% using the invNorm distribution

Hence,

z=0.6=0.2533

Now let Find P60 which is the score which separates the lower 60% from the top 40% using this formula

x<=>z

Where,

Standard deviation=50

Mean=200

z=0.2533

Let plug in the formula

x=0.2533*50+200

x=12.665+200

x=212.665

x=212.7(Approximately)

Therefore the score which separates the lower 60% from the top 40% is 212.7

When graphing on the complex plane , which quadrant will the complex number 10 - 13i be found in ?

Answers

Answer:

The complex number would be in the 4th quadrant.

Step-by-step explanation:

We know that a complex number is a number that can be expressed in the form of a + bi,

where

'[tex]a[/tex]' and b are real numbers, and '[tex]i[/tex] represents the imaginary unit

Given the complex number

10 - 13i

Here,

Coefficient of the real part of the complex number = 10Coefficient of the imaginary part of complex number = -13

As the coefficient of the imaginary part holds a negative sign, and the real part holds a positive sign.

Thus, the complex number would be in the 4th quadrant.

write a linear function f with the values f(-2)=8 and f(1)=-10​

Answers

Answer:

The linear function f(x) = -6x - 4

Step-by-step explanation:

The equation of the linear function f(x) is y = m x + b, where

y = f(x)m is the slope of the line  represents the functionb is the y-intercept ⇒ value y at x = 0

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where  

(x1, y1) and (x2, y2) are two points on the line

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)  

∴ f(-2) = 8 is the point (-2, 8)  

∴ f(1) = -10 is the point (1, -10)

∴ x1 = -2 and y1 = 8

∴ x2 = 1 and y2 = -10

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-10-8}{1--2}[/tex] = [tex]\frac{-18}{1+2}[/tex] =  [tex]\frac{-18}{3}[/tex]

m = -6

→ Substitute it in the form of the equation above

∵ y = -6(x) + b  

∴ y = -6x + b

→ To find b substitute x by 1 and y by -10

∵ x = 1, y = -10

∴ -10 = -6(1) + b

∴ -10 = -6 + b

→ Add 6 to both sides

∵ -10 + 6 = -6 + 6 + b

∴ -4 = b

b = -4

→ Substitute it in the equation

∴ y = -6x + -4

∴ y = -6x - 4

∵ y = f(x)

The linear function f(x) = -6x - 4

Helppppppppppppppppppppppppppp

Answers

It is not a function because -4 in the x position repeats. To be a function all the x’s have to be different
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