A box contains 14 books & 7 pieces of dusters. Each piece of duster weighs 0.2 pounds each book weighs 1.1 pounds. The box & its contents together weigh 18.25 pounds. How much does the empty box weigh?

Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:

Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer choices:

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27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

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

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

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

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

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

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

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

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

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[Matthew1756654]

Answer:

The shape of an object looks the same when an object is rotated on it's own axis

Answer:

1986.8m³

Step-by-step explanation:

Radius=7.8m

Volume of sphere =4/3pi r³

=4/3×3.14×7.8³=1986.8m³

Answer:

The graph I expect to have a negative correlation is the third graph.

Step-by-step explanation:

Positive correlation is when the the x-values increase with a corresponding increase in y-values.

Negative correlation is when the x-values increases with a corresponding decrease in y-values.

No correlation is when only x or y variable changes.

From the graphs given the only one that has a negative correlation is the third graph.

Answer:

Hope it help

Step-by-step explanation:

1. B
2. A
3. C
4. C

5. D

Answer:

63/8

Step-by-step explanation:

For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.

Answer:y=50x+150

Step-by-step explanation:

50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has

Answer: : it’s 40

hope this helps :)

Step-by-step explanation: Just substitute the variable with the number and use pemdas.

First you have to multiply 5/13 by -26, then add 50 to what you get.

Answer:

we can use the pythagorean theorem to each of those right triangles to find the lengths of the pathways

Step-by-step explanation:

for the spinach celery walkway,

d=[tex]\sqrt{6^{2}+8^{2}[/tex] = 10 yd

for each watermelon walkway,

d=[tex]\sqrt{8^{2}+12^{2}[/tex] = 14.42 yd

from the carrots red peppers walkway,

[tex]b^{2}+12^{2} = 15^{2}[/tex]

b=[tex]\sqrt{15^{2}-12^{2}[/tex]= 9yd

for each tomatoes walkway;

d=[tex]\sqrt{6^{2}+9^{2}[/tex] = 10.82 yd

so the total length of the walkway is = 10+14.42+15+10.82 = 50.24 yd

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

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Answer:

34.98

Simply add the 27.99 with 25%

= 34.98

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.

Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.

As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.

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Answer:

1.47 is larger

Step-by-step explanation:

the reason why it's larger is bc the negative sign shows it's below zero

The correct answer is option D which is a = 5, b = 2, c = - 1.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that:-

The general form of the equation is given as:-

Y = ax² + bx + c

We have a quadratic equation:-

y = 5x² + 2x - 1

By comparing the equation with the general form the value of a, b and c is calculated:-

a  =  5

b  =  2

c  =  -1

Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.

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Answer:

the answer is 1

Step-by-step explanation:

you can type it in your scientific calculator and the answer will be 1

Step-by-step explanation:

a^2 +b^2 = c^2

8^2 +4^2= c^2

64 + 16= c^2

80= c^2

take square root of both sides and you get

c=8.94

Answer:

0.06

Step-by-step explanation:

The product of 2 numbers means that we have to multiply them.

So, we do 0.2 x 0.3 = 0.06

To do this, we convert the decimal fractions into whole numbers by multiply both by 10.

ie. 0.2 x 10 = 2

and

0.3 x 10 = 3

Now multiply together

2 x 3 = 6.

However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100

...0.06

Hope this helps!

- profparis

Answer:

=0.06

Step-by-step explanation:

0.2

× 0.3

= 0.06

therefore the answer is 0.06

Answer:

[tex]\huge\boxed{\sf x > -1.25}[/tex]

Step-by-step explanation:

0.2 (x + 20) - 3 > -7 - 6.2x

Distribute

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1 > -7 - 6.2x

Add 6.2x to both sides

0.2x + 6.2x + 1 > -7

6.4x + 1 > -7

Subtract 1 to both sides

6.4x > -7 - 1

6.4x > -8

Divide 6.4 to both sides

x > -8/6.4

x > -1.25

[tex]\rule[225]{225}{2}[/tex]

Answer:

x > -1.25

Step-by-step explanation:

Using the distributive property: a(b + c) → ab + ac

1. Distribute '0.2'

0.2(x) + 0.2(20) - 3 > -7 - 6.2x

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1  > -7 - 6.2x

2. Add '6.2x' to both sides

0.2x + 6.2x + 1  > -7 - 6.2x + 6.2x

6.4x + 1 > -7

3. Subtract '1' from both sides

6.4x + 1 - 1 > -7 - 1

6.4x > -8

4. Divide both sides by '6.4' to isolate the variable

6.4x ÷ 6.4 > -8 ÷ 6.4

x > -1.25

Final answer: x > -1.25

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A graph that uses bars of various heights to represent the frequencies is a Histogram

A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.

Therefore, a graph that uses bars of various heights to represent the frequencies is a Histogram

================================

[tex] \large \sf \underline{Question:}[/tex]

A graph that uses bars of various heights to represent the frequencies.

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{Option \: A}[/tex]

================================

[tex] \large \sf \underline{Explanation:}[/tex]

A graph that uses bars of various heights to represent the frequencies is called Histogram

A Histogram is typically a statistical schematic diagram which bars are displayed at random with no space interval. The bars of a Histogram are side-by-side, there are no spaces between the bars.

================================

Answer

24*9= the answer

Step-by-step explanation:

4/12 chance of dying

The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance.

(a) The IQR of the male's data

The first box plot represents the male's boxplot.

So, we have:

Upper quartile (Q3) = 14

Lower quartile (Q1) = 2

The IQR is the difference between the above values

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2 = 12

So: the IQR for the males' data is 12

(b) The difference in the median values

From the first and second boxplots, we have:

Median male = 10

Median female = 18

The difference (d) between these values is

d = 18 - 10

d = 8

So: the difference between the median values of each data set is 8

(c) The distribution of data

This is dependent on whether the dataset has an outlier or not.

From the figure, we have:

Male's data: presence of an outlier - use median

Female's data: absence of an outlier - use mean

So: the male dataset is measured by median, while the mean is a better measure of center for the female's data

(d) Reason for outliers

A possible reason for outliers is sampling problems

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Answer: 2.2 inches

Step-by-step explanation:

Answer:

The answer is 1230cm square

Answer: 88 units²

Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:

sinФ= opposite/hypotenuese

cosФ= adjancent over hypotneuse

tanФ= opposite/adjecent.

angle is 34

In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"

From here, we can set up this equation to find the area->

Now we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!

The Area of Triangle is 86.272 unit².

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Perpendicular = 16

Using Trigonometry

tan 34 = P / B

0.674 = 16/ B

B= 10.784

So, Area of Triangle = 1/2 x b x h

                                 = 1/2 x 16 x 10.784

                                 = 86.272 unit²

Hence, the Area of Triangle is 86.272 unit².

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Vertex is same x coordinate

Means y is changed

f(x) has vertex (4,3)

g(x) has vertex (4,-3)

Total change

So the transmission is f(x)-6

Answer:

[tex]\textsf{D)} \quad f(x)-6[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

From inspection of the graph, g(x) is a translation of f(x) by 6 units down.

[tex]\implies g(x)=f(x)-6[/tex]