A store pays $90 for a model railroad set. The store marks up the price 40%. what is the amount of the mark-up.

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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Answer:

Step-by-step explanation:

Answer:

8.484

Step-by-step explanation:

Answer:

8.484

Step-by-step explanation:

Find the least common multiplier of 3,4:

12

Adjust fractions based on the LCM

\(4/12 + 3/12\\\)

Apply the fraction rule: \(a/c + b/c = a + b/c\)

\(4 + 3/12\\\)

Add the numbers 4 + 3 = 7

\(7/12\\\)

The answer is 7/12

Answer:

2187/78125

Step-by-step explanation:

T(n) = 3^(n-1) / 5^(n-1)

Explanation:

I'm assuming you meant to write 1/5 instead of 1:5

Add up all the fractions

1/4 + 3/8 + 1/10 + 1/5

20/80 + 30/80 + 8/80 + 16/80

(20+30+8+16)/80

74/80

37/40

He spends 37/40 of his income on rent, foot, clothes, insurance and other items combined.

Subtract this from 1 to find the fraction of his income he saves

1 - 37/40

40/40 - 37/40

(40-37)/40

3/40

He saves 3/40 of his monthly income.

(3/40)*8480 = 636 dollars is the amount saved every month.

Answer:

D) 3x+13

Step-by-step explanation:

f(x+5)

-2+3(x+5)

-2+3x+15

3x+15-2

3x+13

Answer:

False

Step-by-step explanation:

It Is 90° rather then 45°

Answer:

T,F,T,T

Step-by-step explanation:

I’m not sure how technical they’re being with the last prompt but he would actually make 108 checkouts by clock out time. Sooo I’d say true, since he made more than inferred, rather than less.

Answer:

The first one is technically both because he will complete 18 every hour, not 16

The second one is false

Third one is true

and the fourth one is kind of like the first one where he will complete 108 in the span of 6 hours which is more than expected

Hope this helps

Step-by-step explanation:

Answer:

$7.99 for 10 cans

Step-by-step explanation:

83 cents per can or 78 cents per can

It is cheaper to do 7.99 for 10 cans

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

a) x(2x-3)

x=width

b) 6x-6

A EXPLANATION

y: length

x: width

Length+3=2Width

y+3=2x

y=2x-3

x times y = area

x(2x-3) = area

B EXPLANATION

x=width

2x-3=length

x+x+(2x-3)+(2x-3)

The function represented by the graph with the given transformations is |–x| + 2.

The function represented by the given transformations is |–x| + 2.

Let's analyze the transformations step by step:

Reflection across the x-axis:

Reflecting the parent absolute value function across the x-axis changes the sign of the function. The positive slopes become negative, and the negative slopes become positive. This transformation is denoted by a negative sign in front of the function.

Translation right 2 units:

Translating the function right 2 units shifts the entire graph horizontally to the right. This transformation is denoted by subtracting the value being translated from the input of the function.

Combining these transformations, the function |–x| + 2 results. The negative sign reflects the function across the x-axis, and the subtraction of 2 units translates it right. The absolute value is applied to the negated x, ensuring that the function always returns a positive value.

Thus, the function represented by the graph with the given transformations is |–x| + 2.

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Answer: -lx-2l

Step-by-step explanation:

Answer:

6 divided by 333333333333333333333

From the constraint, we have

\(x+y+z=9 \implies z = 9-x-y\)

so that \(s\) depends only on \(x,y\).

\(s = g(x,y) = xy + y(9-x-y) + x(9-x-y) = 9y - y^2 + 9x - x^2 - xy\)

Find the critical points of \(g\).

\(\dfrac{\partial g}{\partial x} = 9 - 2x - y = 0 \implies 2x + y = 9\)

\(\dfrac{\partial g}{\partial y} = 9 - 2y - x = 0\)

Using the given constraint again, we have the condition

\(x+y+z = 2x+y \implies x=z\)

so that

\(x = 9 - x - y \implies y = 9 - 2x\)

and \(s\) depends only on \(x\).

\(s = h(x) = 9(9-2x) - (9-2x)^2 + 9x - x^2 - x(9-2x) = 18x - 3x^2\)

Find the critical points of \(h\).

\(\dfrac{dh}{dx} = 18 - 6x = 0 \implies x=3\)

It follows that \(y = 9-2\cdot3 = 3\) and \(z=3\), so the only critical point of \(s\) is at (3, 3, 3).

Differentiate \(h\) again and check the sign of the second derivative at the critical point.

\(\dfrac{d^2h}{dx^2} = -6 < 0\)

for all \(x\), which indicates a maximum.

We find that

\(\max\left\{xy+yz+xz \mid x+y+z=9\right\} = \boxed{27} \text{ at } (x,y,z) = (3,3,3)\)

The second derivative at the critical point exists

\($\frac{d^{2} h}{d x^{2}}=-6 < 0\) for all x, which suggests a maximum.

Given, the constraint, we have

x + y + z = 9

⇒ z = 9 - x - y

Let s depend only on x, y.

s = g(x, y)

= xy + y(9 - x - y) + x(9 - x - y)

= 9y - y² + 9x - x² - xy

To estimate the critical points of g.

\($&\frac{\partial g}{\partial x}\) = 9 - 2x - y = 0

\($&\frac{\partial g}{\partial y}\) = 9 - 2y - x = 0

Utilizing the given constraint again,

x + y + z = 2x + y

⇒ x = z

x = 9 - x - y  

⇒ y = 9 - 2x, and s depends only on x.

s = h(x) = 9(9 - 2x) - (9 - 2x)² + 9x - x² - x(9 - 2x) = 18x - 3x²

To estimate the critical points of h.

\($\frac{d h}{d x}=18-6 x=0\)

⇒ x = 3

It pursues that y = 9 - 2 \(*\) 3 = 3 and z = 3, so the only critical point of s exists at (3, 3, 3).

Differentiate h again and review the sign of the second derivative at the critical point.

\($\frac{d^{2} h}{d x^{2}}=-6 < 0\)

for all x, which suggests a maximum.

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His pay on that day will be $153

From the question, he paints 38 ducks while two of these failed inspection and were rejected

The number of ducks passing inspection will be 38-2 = 36

This means he will get paid on that day for painting 36 ducks

Since he gets $4.25 for a duck

For 36 ducks, the amount he will get will be = 36 * $4.25 = $153

Answer:

n=8

n=-2

Step-by-step explanation:

or,n-3=5

or,n=5+3

or,n=8

Now consider,

or,n-3=-5

or,n=3-5

or,n=-2

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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Using the simple interest formula, the interest charge on his next month's bill if he has a remaining balance of $8,000 is $53.6.

In the given question we have to find the interest charge on his next month's bill if he has a remaining balance of $8,000.

So the principal amount = $8000

Preston credit card has a 8% A.P.R.

As we know that 1 year = 12 months

So the rate for one month is

R= 8/12%=0.67%

time(T) = 1

The formula of simple interest is

I=PRT/100

where I=interest

P=principal amount

R=rate of interest

T=time

Now putting the value

I=8000*0.67*1/100

I=5360/100

I=53.6

Hence, the interest charge on his next month's bill if he has a remaining balance of $8,000 is $53.6.

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Answer:

16x?

the question is confusing

Answer:

Step-by-step explanation:

acute angle

Answer:

40 degrees

Step-by-step explanation:

The way I did this (and it won't make much sense I know but its just my way of doing it), is to subtract the bigger angle on the tool by the smaller angle. For example, like in the image, one arrow is at 120 degrees and another at 80 degrees, so I would just do 120-80 which equals 40, and because we talk about angles in the hood its 40 degrees, not plain 40

hope you understand

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

Step-by-step explanation:

From the picture attached,

Function given is a parabola, therefore, function is a quadratic function.

Domain of the function : x-values(input values) on the graph

                                      : -∞ ≤ x < ∞

Domain in set notation : {x | x ∈ All real numbers}

Domain in the form interval notation : (-∞, ∞)

End behavior of the function : As both the ends of the function are downwards towards the infinity,

                                                : As x → ∞, y → -∞ [Right end]

                                                : As x → -∞, y → -∞ [Left end]      

\(\huge\fbox{Answer ☘}\)

we know that ,

• absicca of a point = x - coordinate of that point

• ordinate of a point = y - coordinate of that point

‎

therefore , let the point be A( -6 , y )

also ,

we're given an another point , i.e. ,

B( 1 , 3 )

\(distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2\)

therefore , the ordinate of point A is either ( -8 ) or ( 2 )

hope helpful~

Answer:

  x = 3

  y = 8

Step-by-step explanation:

A matrix product exists if and only if the number of columns in the left matrix is equal to the number of rows in the right matrix.

For AB to exist, we must have ...

  columns of A = rows of B

  x +5 = y

For BA to exist, we must have ...

  columns of B = rows of A

  11 -y = x

Using the second equation to substitute for x in the first equation, we have ...

  (11 -y) +5 = y

  16 = 2y

  8 = y

Then the value of x is ...

  11 -8 = x = 3

The values of x and y are ...

__

Additional comment

The dimensions are A = 3×8; B = 8×3.

Solution

For this case we have the following:

Then the answer is:

2/7

Answer:

The required value of w = 10

Step-by-step explanation:

Ade's age is 56 years more than his son.

If the son's age is w years

Ade's age will be 56 + w

Also Sum of their ages is 76 years.

Ade's age + son's age = 76

56 + w + w = 76

56 + 2w = 76

2w = 76 - 56

2w = 20

w = 20/2

w = 10

So The value of w is 10.

Answer:

w=10

Step-by-step explanation:

So we know that Ade is 56 years older than his son.  Let w stand for the son's age:

56+w=Ade's age

Next, write an equation with the 2 guys' ages adding up to 76.

76=(56+w)+w

combine like terms

76=56+2w

subtract 56 from both sides

20=2w

divide both sides by 2

10=w

So, the son's age is 10.

Hope this helps! :)

Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.