A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.

I'm not that good at math

The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given function,

y = 2x + 1

For y-intercept x = 0

y = 2(0) + 1 = 1

Thus, the y-intercept is 1.

In the graph, the line passes the y-axis at y = 1.

Hence "The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function".

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The given question missing the graph attached below ;

Answer:

Kate's age now is 30 years old and Jan's age now is 10 years old.

Step-by-step explanation:

Kate age now is 3x

Jan age now is x

3x-6=6*(x-6)

3x-6=6x-36

-3x    -3x

-6=3x-36

+36      +36

30=3x

10=x

x=10

3x=30

Kate's age now is 30 years old and Jan's age now is 10 years old.

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

The option u chose is the correct one

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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The 2018 actual overhead cost rate is $6.55

Compute the actual overhead cost rate for 2018?

Note that the requirement is to determine the actual overhead cost rate per machine hour in the year 2018, which considers the actual manufacturing overhead incurred and the actual machine hours used.

In essence, the actual overhead cost rate is the actual manufacturing overhead cost divided by the actual machine hours

actual overhead cost rate=$360,000/55,000

actual overhead cost rate=$6.55

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Answer:

the 4 dimensions

Step-by-step explanation:

Answer:

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities.

Step-by-step e

ANSWER

A dozen = 12items

Cost of 12 bottles

Rs 32.75 × 12

Rs 393

The possible values for the number of peaches Lydia could buy are:

2, 3, 4.

We have,

Lydia wants to buy 8 apples, which cost $2.25 each.

Therefore, the total cost of the apples is 8 * $2.25 = $18.

She has $25 to spend, so after buying the apples, she has:

$25 - $18 = $7 remaining.

Now,

Lydia must buy at least 10 apples and peaches altogether.

Since she has already bought 8 apples, she needs to buy at least 2 more fruits.

Let's consider the peaches.

Each peach costs $1.75. To find the possible values for the number of peaches, we can divide the remaining amount ($7) by the cost of a peach ($1.75) and check which whole numbers satisfy the condition.

$7 / $1.75 = 4

Since we need to buy at least 2 more fruits, the possible values for the number of peaches that Lydia could buy are 2, 3, or 4.

Therefore,

The possible values for the number of peaches Lydia could buy are:

2, 3, 4.

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Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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B. -i

I'm not sure abt it but that's the answer that showed up hope that helps

Answer:

-1

Step-by-step explanation:

Answer:

Hi,  the correct answer is A) m∠2 = 60°.

let me put it in this way.

Step-by-step explanation:

Since parallel lines M and N are cut by transversals A B and B C, corresponding angles are formed. Corresponding angles are pairs of angles that are formed by intersecting lines and are on opposite sides of the transversal. In this case, angles 2 and C are corresponding angles, as are angles 3 and A.

We know that angles 2 and C form a straight angle along line M, and angles C and 60 degrees form a straight angle along line N. Since corresponding angles are congruent (have the same measure), this means that angle 2 must have the same measure as the 60-degree angle

Answer:

y = mx + b

slope(m) = 6

(20,220)....x = 20 and y = 220

now sub and find b, the y int

220 = 6(20) + b

220 = 120 + b

220 - 120 = b

100 = b

so ur equation is : y = 6x + 100

to graph :

y = 6x + 100.....u have a slope of 6....u have a y int of 100 or (0,100)...

I would say plot (0,100) and since ur slope is 6, go up 6 and to the right 1...but that is not to helpful because ur graph is not in intervals of 1.

So we will find some points on ur line.

y = 6x + 100....when x = 5

y = 6(5) + 100

y = 30 + 100

y = 130....so another point on ur line is (5,130)

y = 6x + 100...subbing in 10 for x

y = 6(10) + 100

y = 60 + 100

y = 160....another point is (10,160)

keep finding points this way...here are some more...

(15,190) , (20,220), (25,250)

Step-by-step explanation:

Answer:

y = 6x + 100

Step-by-step explanation:

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

The answer is 3/5 x 6/1 = 18/5

Step-by-step explanation:

First you want to turn the whole number into a fraction all you have to do is put a 1 as the numerator the numerator is the top number then multiply 3/5 and 6/1 you have to keep the first fraction the same switch the division symbol to multiplication symbol and flip 1/6 to 6/1 and when you multiply 6/1 and 3/5 you will get 18/5.

Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

Answer:

Quadrant I: (⅓, 2⅓)

Quadrant II: (-1⅓, 3⅓)

Quadrant III: (-3, -10) (-3⅓, -1⅓)

Quadrant IV: (9, -1)

Step-by-step explanation:

If it is (+, +), it is in quadrant I.

If it is (-, +), it is in quadrant II.

If it is (-, -), it is in quadrant III.

If it is (+, -), it is in quadrant IV.

Answer:

sorry i need this for a challenge :)

Step-by-step explanation:

Answer:

y-6=2(x-5)

I hope this is good enough:

Answer:

6 + 40 *3 = 126

Step-by-step explanation:

first is 6 and you add 3 in every step

Answer:

126 smileys

Step-by-step explanation:

\(a_{1} =\) First term

    = 6

\(d =\) Common difference

  = 3

\(n =\) \(n^{th} term\)

  = Step number

Arithmetic sequence will be applied:

\(a_{n} = a_{1} + (n - 1)d\)

For n = 2:

\(a_{2} = 6 + (2 - 1)(3)\)

    \(= 6 + (1)(3)\)

    \(= 9\)

For n = 3:

\(a_{3} = 6 + (3-1)(3)\)

    \(= 6 + (2)(3)\)

    \(= 6 + 6\)

    \(= 12\)

∴For n = 41:

\(a_{41} = 6 + (41 - 1)(3)\)

     \(= 6 + (40)(3)\)

     \(= 6 + 120\)

     \(= 126\)

∴There will be 126 smiley faces in Step 41

Answer: -4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2

Step-by-step explanation:

Decimals that are higher is the less than the smallest

The probability values are P(A) = 0.722 and P(B) = 0.50

From the question, we have the following parameters that can be used in our computation:

A fair die

The sample space of the events are

A = Sum is greater than 5

B = Sum is an even number

From the sample space of the sum of outcomes, we have

n(A) = 26

n(B) = 18

So, we have

P(A) = 26/36 = 0.722

n(B) = 18/36 = 0.50

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Answer: y = 5x-2

Step-by-step explanation:

Answer:

20 gallons

Step-by-step explanation:

let's set up an expression to match this question.

if gas costs 3.35 a gallon, and we want to find the number of gallons:

3.35x = 67.00 where x = the number of gallons he bought.

then, solving for x:

x = 67.00/3.35 = 20 gallons

hope this helped!