Harry needs wood pieces to complete a project in woodshop class. He needs four pieces of wood that have a length of two and three fourths feet and five pieces of wood that are one and two thirds feet. What is the total amount of wood that Harry will need for the project?

The numbers 0, 2, and 5 can be repeated any number of times to create 16 three-digit numbers.

Given that,

As many three-digit numbers as you can must be written. Only the numerals 0, 2, and 5 may be used in your replies, although you may repeat digits.

This is a problem on Permutations

Permutation is the different ways that a set of elements can be arranged, either all at once or part of them at a time. There are two alternative arrangements, AB and BA, for instance, if we have two elements, A and B.

Repeating number permutation

= 3³ - 11(as one of the digit is Zero "0")

= 3 × 3 × 3 - 11

= 16

Let me list each result one by one.

222, 205, 250, 255, 225, 252, 220, 202.

502, 520, 552, 525, 555, 522, 550, 505.

Thus, there are 16 three-digit integers that may be constructed by the numbers 0,2, and 5 with any digit repeated.

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Answer:EMD

Step-by-step explanation:

Answer:

Since there are two points there are two equations that can written.

1. [tex]y-7=-\frac{1}{3} (x+4)[/tex]

2. [tex]y-3=-\frac{1}{3} (x-8)[/tex]

Step-by-step explanation:

Step 1: Point Slope Form

Step 2: Find the slope of the two points

Step 3: Write the equation

Answer:

x=-12.5

Step-by-step explanation:

The corresponding angles theorem shows that -6x+80 is supplementary to 25.

So -6x+80+25=180

-6x+80=155

-6x=75

-6x/-6=75/-6

x=-12.5

The solution to the equation by linear combination is (d) (3, 5)

From the question, we have the following system of equations

2x – 3y = – 9

x + 3y = 18

By linear combination, we start by eliminating one of the variables

This is done by adding the equations

So, we have

2x + x -3y + 3y = -9 + 18

Evaluate the like terms

3x = 9

Divide both sides

x = 3

Substitute x = 3 in x + 3y = 18

3 + 3y = 18

So, we have

3y = 15

Divide

y = 5

Hence, the solution is (d) (3, 5)

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The amount due on the note with the cost of $7800 , 10% promissory note for 60 days is equal to $7930.

As given in the question,

Cost of purchase a plumbing components  = $7,800

Valley spa signed promissory note for 60 day

Percentage of promissory note = 10%

Condition: For the note is dishonored :

Amount due,  

Due Interest on the note

= 7800 × (10 /100) × ( 60 /360)

= 78 × 10 × ( 1/6)

= 13 × 10

= $130

Total amount due

= original cost + interest

= $(7800 + 130)

= $7930

Therefore, for the dishonored note  the amount due on the note is $7930.

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The complete table of values is:

x  -2  -1  0  1  2

y 1/9  1/3 1  3  9

From the question, we have the following equation:

f(x) = 3ˣ

From the table of values, we have the following x values

x = -2, -1, 0, 1 and 2

Substitute x = -2, -1, 0, 1 and 2 in the equation f(x) = 3ˣ

When x = -2

f(-2) = 3⁻² = 1/9

When x = -1

f(-1) = 3⁻¹ = 1/3

When x = 0

f(-1) = 3⁰ = 1

When x = 1

f(1) = 3¹ = 3

When x = 2

f(2) = 3² = 9

Hence, the complete table of values is:

x  -2  -1  0  1  2

y 1/9  1/3 1  3  9

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Answer:

Sally can make 26 bracelets and 13 necklaces.

Step-by-step explanation:

necklace = 16 beads

bracelet = 27

(twice as many bracelets as necklaces)              

total = 910 beads

27*26 = 702 beads    (26 bracelets)

16*13 = 208 beads      (13 necklaces)

702+208 = 910

for #3:

a) 0.9

b) 0.4

c) 0.7

d) 0.08

e) 3.9

f) 1.6

g) 5.5

h) 12.4

And for #4:

The answer is $131.63

Nathan earns 9.75 dollars in one hour, and you want to figure out how many he makes in thirteen and a half hours. To do this, just multiply 9.75 by 13.5.

9.75*13.5 is 131.625. However, money only goes to the hundredths place, which means there are only 2 decimal places. This means you should round 131.625 to the hundredths place, which makes 131.63.

I'm going to do a short answer so here:

a) 0.9

b) 0.4

c) 0.7

d) 0.8

e) 0.39

f) 1.6

g) 5.5

h) 12.4

All of these can be solved by doing this (example_:

2.7/3=

(27/3)/10

(9)/10= 0.9

essentially, just recognize that they are similar to their whole number counterparts.

4. $9.75*13.5= ~131.63 (technically 131.625, but that doesn't exist in monetary values)

At 4 months of subscription, both plans will cost the same.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Two subscription services offer deliveries of boxes of nutritious, organic snack foods each month.

Snacks 4 U has 4$ for 3 months and from then $14 a month and Healthy times has 1 month of free subscription and then $10 months.

Assuming no. of months required that two plans will cost the same is x.

∴ 12 + 14x = 10x

4x = 12

x = 3 and + 1 for the free months.

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The number of masks Elizabeth kept on the wall is 273.

Elizabeth has a mask collection of 420 masks.  She keeps 65 percent of the masks on her wall.

The number of mask she keeps on the wall can be calculated as follows:

Therefore,

number of mask she keeps on the wall = 65 percent of total mask collection

number of mask she keeps on the wall = 65% of 420

number of mask she keeps on the wall = 65 / 100 × 420

number of mask she keeps on the wall = 27300 / 100

Therefore,

number of mask she keeps on the wall = 273

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Answer: 54 copies

Step-by-step explanation:

12 copies for $6

1 copy for $0.5

x copies for $27

27/0.5 = 54

1(54) = 54 copies

Not exactly sure what this is but by a glance theyre asking what do you do to days to get the total?

Therefore if you have in the D column 1-5 the process is always multiplying by 250 so 1 day gives 1 * 250 = $250

2 days gives 2*250 = $500

That means the equation must be

T =250D

Answer:

20%

Step-by-step explanation:

19 of 95 can be written as:

19/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

19/25  x  100/100

= (19 x 100/95) x 1/100 = 20/100

Therefore, the answer is 20%

If you are using a calculator, simply enter 19÷95×100 which will give you 20 as the answer.

Hope this helped!

Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

The phenomenon known as diminishing marginal utility describes how each extra unit of gain results in an ever-smaller rise in subjective value.

Thus, Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

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Answer: 3000 thousand books were sold

Step-by-step explanation:  

The following number in the series is 48.

Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.

Given first five terms of a sequence are 3,8, 15, 24, 35

On examining the series we see:

3 - 0 = 3

8 - 3 = 5

15 - 8 = 7

24 - 15 = 9

35 - 24 = 11

The increments are an arithmetic progression with the first term being 3 and the difference being 2.

The next term (sixth term) is 13.

Hence the next number of the series 3, 8, 15, 24, and 35 is 35 + 13 = 48

Therefore the next number in the series is 48

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The alternative hypothesis will be French people differ from English people in height.

A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables.

In statistical hypothesis testing, null and alternate hypotheses are applied. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

Given

Null hypothesis- French people do not differ from English people in height.

Therefore, the Alternative hypothesis for the given statement is - French people differ from English people in height.

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In a function, each input is related to multiple outputs is False.

The function is a type of relation, or rule, that maps one input to a specific single output.

Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.

A function can be defined as a relationship between an output value, y, and an input value x; where each input value of x has one and only one output value of y.

This means that each output value of a function can have multiple inputs (for example, quadratic functions have 2 inputs for each output except the vertex), but no input can have multiple outputs.

Therefore, In a function, each input is related to multiple outputs is False.

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The given probability distribution is a discrete probability distribution.

Given,

 x:    3        4        7

P(X=x): 0.19    0.3    0.51

Discrete probability distribution property;

∑P[tex](x_{i} )[/tex] = 1

Discrete probability distribution;

The outcomes of events that can be counted or are finite are included in a discrete probability distribution. This differs from a continuous distribution, in which results can occur anywhere along a continuum. The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

That is,

∑P[tex](x_{i} )[/tex]

= 0.19 + 0.3 + 0.51

= 1

The property for a discrete probability distribution is thus satisfied.

So, the probability distribution that is being presented is a discrete probability distribution.

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The given question is incomplete. Completed question is given below;

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −3 4 7 P(X=x) 0.19 0.3 0.51 Answer First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

The figure shown in 2 and 4 are the functions. Options B and D are correct.

Given that,
A number of graphs have been shown, to determine which graph is a function,

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Graph 1,
Is not function because it is a scatter plot,

Graph 2
Is line, which is a function,

Graph 3
Is a circle with a curve that is not functional,

Graph 4
Is parabola and quadratic function,

Thus, the figure shown in 2 and 4 are the functions. Options B and D are correct.

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well, we know that the relationship of "n" and "s" is linear, so hmmm let's get their equation first.

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{68000})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{76000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{76000}-\stackrel{y1}{68000}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{7}}} \implies \cfrac{ 8000 }{ 2 } \implies 4000[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{68000}=\stackrel{m}{ 4000}(x-\stackrel{x_1}{7}) \\\\\\ ~\hfill {\Large \begin{array}{llll} s-68000=4000(n-7) \end{array}} ~\hfill[/tex]

now, when she was hired, well that was when there were no years, namely at year 0, so we can say that's when n = 0

[tex]s-68000=4000(n-7)\implies s-68000=4000(\stackrel{n}{0}-7) \\\\\\ s-68000=4000(-7)\implies s-68000=-28000 \\\\\\ s=-28000+68000\implies {\Large \begin{array}{llll} s=40000 \end{array}}[/tex]

Answer:

here is the, ans hope it helps :)

x = -13 ± (√ 565) / 22 is the solution to the operation

(8x² + 8x - 9) + (3x² + 5x) = 0.

 ∴ (8x² + 8x - 9) + (3x² + 5x) = 0

=> 8x² + 8x - 9 + 3x² + 5x = 0

=> 11x² + 13x -9 = 0

After obtaining the standard form a, b and c are identified from the original equation and are placed into the quadratic formula.

∴ x = (-b±√(b²-4ac))/(2a)

11x² + 13x -9 = 0

where,

a = 11, b = 13, c = -9

=> x = (-13 ± √(13² - 4×11(-9)) )/ (2×11)

=> x =( -13 ± (√ 565) )/ (22).

So, the solution to (8x² + 8x - 9) + (3x² + 5x) = 0 is x = -13 ± (√ 565) / 22.

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The complete question is -

Perform the operation:

(8x² + 8x - 9) + (3x² + 5x) = 0

Answer:

x=3

Step-by-step explanation:

The equation for perimeter of a rectangle is 2(l)+2(w)

So, 2(x+2)+2(2x-1)=

2x+4+4x-2=20

You then combine like terms

6x+2=20, then subtract 2 from both sides

6x=18, then divide 6 by both sides

x=3

Step-by-step explanation:

3 3/8 = 27/8

7 1/4 = 29/4

29/4 X 27/8 = 783/32 = 24 15/32

The lines p and q are perpendicular lines.

According to the question,

We have the following information:

Line p passes through points (18, 11) and (-17, 22). Line q passes through points (2, 37) and (-9, 72).

We will find the slope of both the lines to check whether they are perpendicular or parallel. If their slope is equal then they are parallel and if their slope is not equal or inverse of the other one then they are perpendicular.

(Slope is denoted by m.)

m = (y2-y1)/(x2-x1)

For line p:

x1 = 18, y1 = 11, x2 = -17 and y2 = 22

m = (22-11)/(-17-18)

m = -11/35

For line q:

x1 = 2, y1 = 37, x2 = -9 and y2 = 72

m = (72-37)/(-9-2)

m = -35/11

Now, the slope is inverse.

Hence, the lines p and q are perpendicular lines.

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Only option 'a' is true

Calculation

Given, x + 5.5 = 0

x = -5.5

a. 2(x+3) ≤ -5

2(-5.5+3) ≤ -5

2*(-2.5) ≤ -5

-5 ≤ -5

Hence, it is true

b. 3 – 2x > 12

3 – 2(-5.5) > 12

3 – 11 > 12

-8 > 12

Hence, it is false

c.[tex]x^{2}[/tex] +(-5.5) < 24.75

[tex]-5.5^{2}[/tex] + (-5.5) < 24.75

30.25 <24.75

Hence, it is false

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Answer:

B

Step-by-step explanation:

y intercept is whenever x is 0 or in this case when they haven’t been on any rides

Here Jamie starts off with 24 tickets before going on any rides

Hopes this helps

The ball hits the ground after 3.39 seconds.

acc to our question-

The following quadratic equation can be used to calculate the height of the ball after t seconds while accounting for gravity.

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If four digit numbers are made using the digits 0 to 6, the number of even digits formed without repeatetion is 204.

For an even number the last digit can be either zero or 2,4, 6 and each digit can be used only once

If the 4th digit is 0, then that leaves 5 possible numbers for the 1st digit, 4 for the 2nd, and 3 for the 3rd. 5 x 4 x 3 = 60 possible 4-digit even numbers.

If the 4th digit is 2,4 or 6, that leaves 4 possible numbers for the 1st digit (as 1st digit can’t be 0), 4 for the 2nd digit, and 3 for the 3rd digit. 4 x 4 x 3 x 3 = 144 possible 4-digit even numbers.

total possible even digits is = 60 + 144 = 204

Therefore, if four digit numbers are made using the digits 0 to 6, the number of even digits formed without repeatetion is 204.

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None of the graphs shows the solution set for the given inequality, so it may be written incorrectly or maybe there are some graphs not shown in the image.

Here we have the inequality:

4x - y ≤ - 6

If we isolate the variable y, we get:

4x + 6 ≤ y

First, because of the symbol "≤" we know that we will have a solid line (the points on the line are also solutions).

We also can see that we have a positive slope

y ≥ 4x + 6

Also we can see that the y-intercept is 6, now the problem is that none of the graphs meets the 3 conditions.

So there is no correct option, which means that there may be a mistake in the inequality you wrote.

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