A retailer purchases postcards for $0.50 and sells them for $0.70. What is the markup?

Answer:

First Image: Choice B

Second Image: Choice B

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

            b represents the y-intercept

First Image:

In our equation, y = 0.1x + 1,

we see that the y-intercept of the line is 1 and the slope is 0.1

We can simple plug in the x values to test if the table is true:

x = -1

y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9

This proves choices A and C are INCORRECT

The next point is at x = 10

y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2

Making choice D INCORRECT

Hence, you've selected the correct choice (B)!

Second Image:

In our equation, y = 3x + 2,

we see that the y-intercept of the line is 2 and the slope is 3

Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2

Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2

6 = 3(4/3) + 2 → 6 = 4 + 2.     → 6 = 6

3 = 3(1/3) + 2 → → 3 = 1 + 2.   → 3 = 3

20 = 3(6) + 2 → 20 = 18 + 2.  → 20 = 20

Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2

Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2

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The quotient is x+1.

Long division is a method for dividing one large multi digit number into another large multi digit number.

Given:

f(x)=  x²+2x+1

g(x)= x+1

The steps to divide the polynomial is :

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Explanation:

x = width of the walkway in feet

This is some positive real number.

The dimension of 20 feet bumps up to 20+2x when adding on x from both directions. Similarly, the 40 ft dimension becomes 40+2x

Refer to the diagram below.

The 20 ft by 40 ft pool is surrounded by a larger rectangle that is 20+2x ft by 40+2x ft

The pool itself is 20*40 = 800 sq ft. Add on the walkway area to get 800+256 = 1056 sq ft.

-----------

Area = length*width

1056 = (20+2x)*(40+2x)

1056 = 20*40 + 20*2x + 2x*40 + 2x*2x ... FOIL rule

1056 = 800 + 40x + 80x + 4x^2

0 = 4x^2 + 40x + 80x + 800 - 1056

0 = 4x^2 + 120x - 256

4x^2 + 120x -  256 = 0

4(x^2 + 30x - 64) = 0

x^2 + 30x - 64 = 0

Let's use the quadratic formula to finish solving for x.

Plug in a = 1, b = 30, c = -64

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-30\pm\sqrt{(30)^2-4(1)(-64)}}{2(1)}\\\\x = \frac{-30\pm\sqrt{1156}}{2}\\\\x = \frac{-30\pm34}{2}\\\\x = \frac{-30+34}{2} \ \text{ or } \ x = \frac{-30-34}{2}\\\\x = \frac{4}{2} \ \text{ or } \ x = \frac{-64}{2}\\\\x = 2 \ \text{ or } \ x = -32\\\\[/tex]

Recall we made x be positive. This is because a negative walkway width does not make sense. This means we'll ignore x = -32.

The only practical solution is x = 2

Therefore, the walkway is 2 feet wide

Answer:

6230 will be answer I think

Mark me as Brainliest

Answer:

Well, it's to the nearest thousand, and we know that 6289 is 6 thousand 2 hundred and 89. So, you look at the number next to the thousand which is the hundreds, and as we can see that is 2. Therefore it will be 6000, as 6289 cannot be rounded to 7000 since 2 doesn't exceed 5.

So, the answer is 6000

(I don't mind being marked brainliest for this I'd just like to help someone. :)

The answers are

1). warmer

2). higher

3). end behavior

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

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Step-by-step explanation:

x = total area of land

x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6

6x - x - 30/9 × x = 291

5x - 30/9 × x = 291 | multitude both sides by 9

45x - 30x = 2,619

15x = 2,619

x = 174.6 acres

pineapples were planted on 174.6 × 1/6 = 29.1 acres.

durians were planted on 174.6 × 5/9 = 97 acres.

The probability of 6 years or more, so we want the complement,

1 - 0.98533 = 0.01467                        1.467% chance, not very likely.

A z score is a type of statistical measurement that gives an idea of how far a raw score is from the mean of a distribution. A z score is used in a z test for hypothesis testing.

Here, Because you are looking for the mean of a group of 7.8, the standard deviation will shrink by a factor of √6

Old standard deviation = 0.7,

new standard deviation = 0.7/√6 = 0.64254

You need to find a z-score and then convert your z-score to a probability.

z-score = (your score - average)/ std dev

z-score = (7.8 - 6)/0.64254

z-score = 2.1789

To convert a z-score either look it up on a table or use a calculator.

But z-tables are designed to shade to the left, which means this is the probability that the mean life is 6 years or less. We want the probability of 6 years or more, so we want the complement, 1 - 0.98533 = 0.01467

1.467% chance, not very likely.

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Answer:

8

Step-by-step explanation:

Due to lines r & s being parallel to each other, we can apply the rule of alternate interior angles to solve for y in this problem.

Applying this, we'll be obtaining the equation that of:

[tex]116=15y-4[/tex]

We now simply solve for y.

[tex]120=15y\\y=8[/tex]

Therefore, y is equal to 8.

This can be checked by plugging it into the equation:

[tex]15(8)-4[/tex]

[tex]120-4[/tex]

[tex]116[/tex]

And look at that, we got 116 for our answer, exactly the same as the other angle.

Any questions feel free to ask :)

At least 714 numbers of widgets must be sold per day to make a profit.

Given fixed operating cost = $2,500 per day cost of widget =$ 1.50

widget sells = $ 5.00

Cost function = C(X)=1.50x+2500

Revenue function = R(X)=5 x

At Break Even point R (X) = C (X)5

X= 1.50X+25003.5

X =2500X =714

hence to reach break even point or make profit 714 no to be sold.R(714)= 3571.

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Step-by-step explanation:

please mark me as brainlest

Regarding conditional probabilities, the keyword is always given, as a previous event is considered to have happened.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

The previous event having happened is represented by keyword given.

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Answer:

f(1)= 3×1 + 2 = 5

....

.....

....

f(5)= 3×5 + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Given: f(x) = 3x + 2

We are asked to find the value of the function when the value of x is 5

Substitute 5 as the value of x in the function:

⇒ f(x) = 3x + 2

⇒ f(5) = 3(5) + 2 [multiply]

⇒ f(5) = 15 + 2 [add]

⇒ f(5) = 17

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(a) [tex]\{x: x > -4 \}[/tex]

(b) [tex](-4, \infty)[/tex]

Answer:

I think the answer is 7

don't blame me if I'm wrong

Answer:

359

Step-by-step explanation:

the prime factors of the numbers are

18 = 2×3×3

20 = 2×2×5

24 = 2×2×2×3

the lowest common multiple is therefore

2×2×2×3×3×5 = 360

the difference between the checked divisor numbers and the expected remainder is constantly 1 :

18 - 17 = 1

20 - 19 = 1

24 - 23 = 1

so, we can deduct this constant 1 from the LCM and get the desired number :

360 - 1 = 359

verify :

359 ÷ 18 = 19 remainder 17

359 ÷ 20 = 17 remainder 19

359 ÷ 24 = 14 remainder 23

The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.

The missing options are given below.

The quadratic equation is given as ax² + bx + c = 0.

Then the solution is given as

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The quadratic function is given below.

f(x) = 6x² + 12x – 7

Then the zeroes of the quadratic function will be

[tex]\rm x = \dfrac{-12\pm \sqrt{12^2 - 4 * 6 * (-7)}}{2 * 6}\\\\\\\rm x = \dfrac{-12\pm \sqrt{312}}{12}\\\\\\\rm x = -1 \pm \sqrt{\dfrac{13}{6}}\\\\\\x = -1 - \sqrt{\dfrac{13}{6}} , -1 + \sqrt{\dfrac{13}{6}}[/tex]

Then the correct option is A.

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The perimeter of the following rectilinear figure is 54 units.

Perimeter of a figure is the distance covered when a person walk one round across its edges .

The given figure is in the form of a rectangle ,

The perimeter is equal to the sum of all sides ,

The bottom base is 13 includes (base of the small extended figure )

The left side is 14(includes left side of the small extended figure)

The right side is 10+5+4 (includes right side of the small extended figure)

The top is 8

Therefore the perimeter is 13+14+10+5+4+8 = 54 units

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Answer:

The answer is 3

Step-by-step explanation:

You can see that it recurs faster than usual for a tan curve so 1 is eliminated and it cant be 2 or 4 because it isnt recurring equally.

Answer:

Step-by-step explanation:

it equal 925 tins in total when you multiply 37 times 25. Hope that helps

The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

The soup recipe gives 20 gallons.

As we know one gallon produces 128 fluid ounces.

There are 20 gallons produced.

So the number of fluid ounces produced will be 20*128= 2560

Given in the question each portion contains 5 fluid ounces.

Then there is a total of 2560 numbers of fluid ounces.

So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion=  2560/5= 512

Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

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The value of the z test statistic will be 2.55.

The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z test statistics is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.

Then the value of the z test statistic will be

z = (x – μ) / σ

z = (25 - 14) / 4.32

z = 11 / 4.32

z = 2.546 ≈ 2.55

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Answer:

There were 42 fewer students who chose Football than Hockey.

Step-by-step explanation:

Fraction of students who chose Hockey

= 1 - [tex]\frac{1}{6}[/tex] - [tex]\frac{1}{3}[/tex]

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

[tex]\frac{1}{2}[/tex] units = 21

 1 unit = 42

No. of students who chose Football

= 2 units ([tex]\frac{2}{6}[/tex])

= 84 students

No. of students who chose Hockey

= 3 units ([tex]\frac{3}{6}[/tex])

= 126 students

Difference between no. of students who chose Football and Hockey

= 126 - 84

= 42 students

∴There were 42 fewer students who chose Football than Hockey.

Answer:

*79.40*

Step-by-step explanation:

using sine rule..

a/sinA = b/sinB

42/sin19= x/sin142

x= sin142*42/sin19

= 79.42356..

to the nearest tenth = 79.40.

Answer:

Step-by-step explanation:

a/sinA = b/sinB

(42/sin19) = (x/sin142)

x = (sin142 *42 / sin19)

Round to the nearest tenth -> 79.4

Answer:

3, -1, 1 and 0

Step-by-step explanation:

An expression is undefined when the denominator is equal to 0 as you cannot divide by 0 in Mathematics. Therefore you are looking for the values of x which will result in either or both denominators equaling 0.

This simply means finding the solutions to the quadratics in the denominators.

First equation is [tex]x^{2} -2x-3[/tex].

One way you can solve this equation is using factorization (putting the equation into two sets of brackets which show the solutions) which puts the equation in the solvable form: (ax+b)(cx+d).

Firstly, we can deduct that a and c are both 1 as ax and cx multiply to give the x^2 term, the co-efficient of which is 1. Since only 1 and 1 can multiply to 1, a and c must both be 1.

Now, in order to work out b and d we need to find the possible factor combinations for -3 as b and d multiply to give the constant term. The only possible combination is 1x3, therefore b and d can either be -1 and 3, or -3 and 1.

To work this out we look at the x term. We see it is -2x. b and d will add to give the co-efficient.

Therefore we know that they are -3 and 1 as -3+1 = -2

We now have the equation: (x+1)(x-3)

Setting it to 0 gives us: [tex](x+1)(x-3)=0[/tex]

This tells us the solutions to this equation are x= -1 and x= 3 as substituting these values for x will result in a bracket adding to 0 so both those options can be selected as your answer.

The second equation [tex]2x^{2} +2x[/tex] can be approached with a slightly easier method. Both terms have a 2x, so we can condense it into a bracket by dividing both terms by the common factor and moving the factor outside. Factorizing this equation in this fashion gives us: [tex]2x(x+1)=0[/tex]

Now our solutions are x=0 and x=1.

Combined from both equations the correct options are: 3, -1, 1 and 0.

Hope this helped!

Step-by-step explanation:

let's write this properly :

f(x) = x³

g(x) = (x - 7)³ + 9

this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).

so, the original (0, 0) point corresponds to (7, 9).

Answer:

6.5 seconds

Step-by-step explanation:

Ok so the equation you gave is -16T^2 + 676 in the comments which is what I'll be using for this problem. The problem is really just asking you to find the zeroes of the equation excluding any negative solutions since that doesn't really represent anything in this context since T is time.

So the first step is to set the equation equal to 0

[tex]0 = -16t^2 + 676[/tex].

Subtract 676 from both equations.

[tex]-676 = -16t^2[/tex]

Divide both sides by -16

[tex]42.25 = t^2[/tex]

Take the square root of both sides

[tex]\pm6.5 = t[/tex]

Ignore the negative and take only the positive solution, since in this context it doesn't make much sense. So after 6.5 seconds the height is 0, meaning it hits the ground after 6.5 seconds.

The number of student tickets is 175 and the number of adult tickets is 425.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

Suppose the number of the student ticket is St and adult are At.

St + At = 600

St = 600 - At

Another expression for the total amount will be given as:-

13.5St + 17At = 9587.50

Put the value of St in the equation to find the value of At.

13.5( 600 - At) + 17At = 9587.50

8100 - 13.5At +17At = 9587.5

17At - 13.5 At = 9587. 5 - 8100

3.5 At = 1487.5

At = 425

St + At = 600

St = 600 - At = 600 - 425 = 175

Therefore the number of student tickets is 175 and the number of adult tickets is 425.

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Using the normal distribution, the values within 3 standard deviations of the mean are given 110 to 350.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 230, \sigma = 40[/tex].

The bounds of the values within 3 standard deviations of the mean are given by X when Z = -3 and X when Z = 3, hence:

Z = -3:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-3 = \frac{X - 230}{40}[/tex]

X - 230 = -3(40)

X = 110.

Z = 3:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]3 = \frac{X - 230}{40}[/tex]

X - 230 = 3(40)

X = 350.

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Answer:

30 square feet

Step-by-step explanation:

The area of a trapezoid is equal to (a+b)/2 * h
In this case, the value of a is 5, b is 10, and h is 4. You can substitute those numbers into the formula and get the answer of 30.

Answer:

slope: 3

y-intercept: (0, -1)

Find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points are: (0, -1), (3, 8)

[tex]\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3[/tex]

When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.

y-intercept: -1  or  (0, -1)

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

If a linear function contains these points: (0,-1) and (3,8), what is its slope and y-int.?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].

Put in the values,

[tex]\bf{\dfrac{8-(-1)}{3-0}}[/tex]  | subtract on top and bottom

[tex]\bf{\dfrac{9}{3}}[/tex] | divide on top and bottom

[tex]\bf{3}[/tex]

The y-intercept is the second co-ordinate of the point (0,-1)

[tex]\bf{Which\;is\;-1}[/tex].

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

[tex]\bf{Result:}[/tex]

                      [tex]\bf{\begin{cases} \bf{Slope=3} \\ \bf{Y-int. -1} \end{cases}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1 \theta l}}[/tex]