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Answer:

Seven erasers cost $3.50

Hope this helps :)

Answer:

7 erasers cost 3.50

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Step 1: Write out equation

1/4x - 7/4 = 2

Step 2: Add 7/4 to both sides

1/4x = 15/4

Step 3: Divide both sides by 1/4

x = 15

Hey there! :)

Answer:

3(d + 1)²

Step-by-step explanation:

Given 3d² + 6d + 3:

Begin by factoring out '3' from each term:

3(d² + 2d + 1)

Factor terms inside of the parenthesis:

3(d + 1)(d + 1) or 3(d + 1)².

Answer:

[tex]L(t) = 170 - 10t[/tex]

Step-by-step explanation:

The amount that Alexa owes after t weeks is given by a linear equation in the following format:

[tex]L(t) = L(0) - bt[/tex]

In which L(0) is the initial amount borrowed and b is how much is paid per week.

Alexa agreed to pay back her friend $10 per week and originally borrowed $170.

This means that, respectivelly, [tex]b = 10, L(0) = 170[/tex]. So

[tex]L(t) = L(0) - bt[/tex]

[tex]L(t) = 170 - 10t[/tex]

Answer: Angle Bisector Theorem uses angle bisectors of triangles and states a relation between lengths of segments along the triangle.

Step-by-step explanation: Given any triangle  ABC with point  D  on  A C . Then Generalized Angle Bisector Theorem states that [tex]\frac{BD}{DC}= \frac{ABsin DAB}{ACsin DAC}[/tex]

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Work Shown:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

1/4 hour = 15 minutes (divide both sides of the first equation by 4)

2 & 1/4 hours = 2 hours + 1/4 hour

2 & 1/4 hours = 120 minutes + 15 minutes

2 & 1/4 hours = 135 minutes

---------------------

1 minute = 60 seconds

135 minutes = 8100 seconds (multiply both sides by 135)

2 & 1/4 hours = 8100 seconds

Answer:

Function

Step-by-step explanation:

The following is a one-on-one function since neither the domain nor the range is being repeated.

Answer:

Function

Step-by-step explanation:

A relation has a connection between the input and output.

You can determine whether each element of the domain is paired with exactly one element of the range.

A function can only have one y value for each x value, so you can't repeat the same x value.

Answer:

9,000 inches^3

Step-by-step explanation:

The first part is 20 x 20 x 20, which equals 8,000

The second part is 10 x 10 x 10, which is 1,000

1,000 + 8,000 = 9,000

Answer:

never intersect

Step-by-step explanation

parallel lines do not intersect and neither do parallel planes

Answer:

xy + 8x - y - 8

Step-by-step explanation:

We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.

F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.

O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.

I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.

L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.

Adding all of these together, we get xy + 8x - y - 8 as our final answer.

Hope this helps!

Answer:

[tex]xy+8x-y-8[/tex]

Step-by-step explanation:

=> (x-1)(y+8)

Using FOIL

=> [tex]xy+8x-y-8[/tex]

4 cards. The probability of picking the 6 would be 1/4 ( 1 out of 4 cards)

After the first card is picked you have 3 cards left, 2 are less than 6, so you would have a 2/3 Probability.

The probability of both happening is:

1/4 x 2/3 = 2/12 = 1/6

The answer is 1/6

Answer:

-9

Step-by-step explanation:

3 time 7

minus

4 times 8

21 - 32

-11+2= -9

Answer:

Step-by-step explanation:

tan ∅ = opposite / adjacent

From the question

AC is the opposite

CB is the adjacent

tan B = AC / CB

tan B = 12/9

tan B = 4/3

B = tan-¹ 4/3

B = 53.13° to 2 decimal places

Hope this helps you

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

Answer: [tex]2^{5}[/tex]

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just [tex]2^{5}[/tex].

A common mistake in this problem would

be for students to say that  2³ · 2² is [tex]4^{5}[/tex].

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

Answer:

13, 21

Step-by-step explanation:

Fibonacci sequence-

Each number is added to the number before it.

1+1=2

2+1=3

3+2=5

5+3=8

Answer:

The missing numbers are 13, and 21.

The pattern given is the Fibonacci Sequence, where each number is the sum of the two numbers before it, starting with 0 and 1. (i.e. 5 is 2+3)

Answer:

all real number except 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cos θ = u*v    

             IuI *IvI

u * v = 7*(-1) + (-2)*2

       = -7 - 4

      = -11

IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]

    = [tex]\sqrt{49+4}\\\\[/tex]

    = [tex]\sqrt{53}[/tex]

I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]

     = [tex]\sqrt{1+4}\\\\[/tex]

      = [tex]\sqrt{5}\\[/tex]

Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]

          = [tex]\frac{-11}{16.28}\\\\[/tex]

   Cos θ = -0.68

θ = 132.5°

Answer:

3/20s

Step-by-step explanation:

Answer:

D. 50 students

Step-by-step explanation:

First we find the area of the classroom which is worked out below and it is the shape of a rectangle;

Area of a rectangle = Length * Breadth

                                = 60 ft * 40 ft

                                = 2400 ft²

Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;

= [tex]\frac{2400}{48}[/tex]

= 50

This means she will  allow 50 students into her class.

Answer:

50

Step-by-step explanation:

Answer:

34293

Step-by-step explanation:

because it 36 and 45. it is right

Answer:

$318

Step-by-step explanation:

The treasury bond is $10,000

The current yield is 3%

= 3/100

=0.03

It is quoted at 106 points

The first step is to calculate the price of the bond

Price of the bond= $10,000×106/100

= $10,000×1.06

= $10,600

Therefore the annual interest can be calculated as follows

Annual interest= $10,600×0.03

= $318

Hence the annual interest is $318

Answer:

x = 185.458 ft

Step-by-step explanation:

When we draw a picture, we are able to see that we need to use sin∅ to solve this problem:

sin15° = 48/x

xsin15° = 48

x = 48/sin14°

Answer:

The z–score corresponding to 45 is z=2.

Step-by-step explanation:

We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.

The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.

The z-score for X=45 can be calculated as:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]

The z–score corresponding to 45 is z=2.

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars                1st year     2nd-year     3rd-year     4th year

Preferred dividend

paid a                         $34,000   $38,000    $36,000    $36,000

Number of preferred

stock b                       60,000     60,000       60,000       60,000

Dividend per share

(a ÷ b)                         $0.57       $0.63          $0.60             $0.60

Dividend paid to common

stockholders c               $0             $38,000    $44,000     $64,000

Number of common stock

shares d                       410,000     410,000     410,000     410,000

Dividend per share

on common stock        $0             $0.093        $0.11          $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars                      1 year        2 year       3 year       4 year

Total dividend paid       $34,000  $76,000   $80,000     $100,000

Less:

Preferred stock

dividend                      $34,000      $38,000  $36,000     $36,000

Dividend paid to common

stockholders                 $0             $38,000    $44,000     $64,000

Answer:

3c^3+2c^2

Step-by-step explanation:

Answer:

3c^3 +2c^2

Step-by-step explanation:

–c^2(3c – 2)

Distribute

=c^2 * 3c - c^2 * -2

3c^3 +2c^2

Answer: On a coordinate plane, 2 lines are parallel to each other.

Step-by-step explanation:

The solution of the system of equations of two lines is the intersecting point where both lines intersect.

When two lines intersect at one point then, we say it has a unique solution.

When two lines coincide, then we say it has an infinite number of solutions.

But when two lines are parallel to each other then, we say it has no solution.

Hence, the graph represents a system of equations with no solution:

On a coordinate plane, 2 lines are parallel to each other.

On a coordinate plane, [tex]2[/tex] lines are parallel to each other.

A graph is a diagram that depicts the relationship between two or more variables measured along one of a pair of axes at right angles.

A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called [tex]y-[/tex]axis and a horizontal line called [tex]x-[/tex]axis.

A system of equations has no solution if the lines are parallel.

For more information:

https://brainly.com/question/17267403?referrer=searchResults

Answer:

n = 600

Step-by-step explanation:

To solve this equation:

1. Simplify all like terms: 5400/9 = 600 = n

2. The n cannot be simplified.

3. The answer is n = 600 because 5400/9 is 600 which is equal to n

Answer:

{ 0.58, 0.89, 0.98, 1.26, 1.42 }

Step-by-step explanation:

We are given the data set { 1.26, 0.98, 1.07, 0.97, 1.28, 0.89, 1.14, 0.58, 1.42, 0.59, 0.96 }, consisting of 11 elements, each the radiation of 11 cell phones.

To construct the " 5 - number summary " the first thing we want to do is arrange the numbers from least to greatest, to find the median of the data set,

{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }

The median of this data set is thus 0.98 W / kg. Mind you the units are not required here!

____

Now that we have the median, we can determine the first and third quartile, which are simply medians of the data set to the left and right of the median,

{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }

[tex]Q_1[/tex] = 0.89, [tex]Q_3[/tex] = 1.26

And of course the minimum and maximum of the data set are given to be 0.58, and 1.42

____

We have our 5 - number summary now! This includes the minimum, first quartile, median / second quartile, third quartile, and maximum values, in that order -

The 5 - number summary is { 0.58, 0.89, 0.98, 1.26, 1.42 }

And, your box and whisker plot is shown in the attachment below!

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:

First Derivative

[tex]h'(t) = -32\cdot t +128[/tex]

Second Derivative

[tex]h''(t) = -32[/tex]

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

[tex]-32\cdot t +128 = 0[/tex]

[tex]t = \frac{128}{32}\,s[/tex]

[tex]t = 4\,s[/tex] (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]

[tex]h(4\,s) = 576\,ft[/tex]

The highest altitude that the object reaches is 576 feet.

Answer:

Well the best answer would be 1    0.75 cubic feet bag of dirt  

Step-by-step explanation: