Find the value of x
44 and 55in

Answer:

Yes you can, it’s 1010

Step-by-step explanation:

the reason is to 101 the number for its to become the one for the unit which is 1010

Yes, you can use the unit tile to find the exact area of the other tiles.

The fundamental units are the units defined for the fundamental quantities. The derived units are the units of all other physical quantities that are derived from the fundamental units.

Given :

The unit tile has 1 unit length and 1 square unit of area.

Yes, you can use the unit tile to determine the length of the other rectangle and square.

You can place tiles along the length of the rectangle and count them so that the number of tiles equals the length of the rectangle, and then use the same method to find the side of the squares.

As shown in the given diagram below :

Therefore, you can use the unit tile to find the exact area of the other tiles.

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Answer:

N= 9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{n - 6}{ - 4} = 6[/tex]

Cross multiply

We have

n - 6 = - 4 × 6

n - 6 = - 24

n = - 24 + 6

Hope this helps you

Answer:

5, 10, 15, 20, 25 table.

Step-by-step explanation:

So the top table, for sure has a much more consistent, and or constant variable. That just means that the numbers are continuously being put into the table at the right amount, speed, etc. As it is increasing, your y is constant, and x remains in the appropraite way!

5, 10, 15, 20, 25..

It is very good.

Hope that helped.!

Answer:

I guess y=2x+5

Answer:

1. [tex]27^{\frac{2}{3} } =9[/tex]

2. [tex]\sqrt{36^{3} } =216[/tex]

3. [tex](-243)^{\frac{3}{5} } =-27[/tex]

4. [tex]40^{\frac{2}{3}}=4\sqrt[3]{25} =4325[/tex]

5. Step 4: [tex](\frac{343}{27}) ^{-1} =\frac{27}{343}[/tex]

6. [tex]D. -72cd^{7}[/tex]

Step-by-step explanation:

Use the following properties:

[tex]a^{\frac{x}{y} } =\sqrt[x]{a^{y} }[/tex]

[tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]

[tex]a^{-n} =\frac{1}{a^{n} }[/tex]

[tex](xy)^{z} =x^{z} y^{z} \\\\[/tex]

[tex](x^{y}) ^{z} =x^{yz}[/tex]

[tex]x^{y} x^{z} =x^{y+z}[/tex]

So:

1. [tex]27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9[/tex]

2. [tex]\sqrt{36^{3} } =\sqrt{36*36*36} =\sqrt{36} \sqrt{36} \sqrt{36} =6*6*6=216[/tex]

3. [tex](-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27[/tex]

4. [tex]40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325[/tex]

5. [tex](\frac{343}{27}) ^{-1} =\frac{1}{\frac{343}{27} } =\frac{27}{343}[/tex]

6.

[tex](-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}[/tex]

Answer:

No.

Step-by-Step Explanation:

When two lines are parallel, they might or might not be equal. It is not necessary that they should be equal.

See the triangle below in which two lines are parallel to each other.

Answer:

[tex]x >4[/tex]

Step-by-step explanation:

[tex]x+3>19-3x[/tex]

Add 3x and -3 on both parts.

[tex]x+3+3x-3>19-3x+3x-3[/tex]

Combine like terms.

[tex]x+3x>16[/tex]

[tex]4x >16[/tex]

Divide 4 on both parts.

[tex]\frac{4x}{4} > \frac{16}{4}[/tex]

[tex]x >4[/tex]

Answer:

12 bags of cookies.

Step-by-step explanation:

Since you already start out with $24, you will have a y-intercept of 24. Your slope will be 3, since each bag sells for $3.

Your equation will be y = 3c + 24.

Your sister does not start out with money, so she will have a y-intercept of 0. Her slope will be 5, as each bag sells for $5.

Her equation will be y = 5c.

Since y = y, you can set the two equations equal to each other.

3c + 24 = 5c

5c = 3c + 24

Subtract 3c from both sides

2c = 24

Divide both sides by 2

c = 12

So, they must sell 12 bags of cookies to raise the same amount of money, $60. Yum!

Hope this helps!

Answer:

A. (-1,1)

Step-by-step explanation:

6x+2y = 8    

-2y =-2          

6x=6              

6x=6                  

X=1

Answer:

4

Step-by-step explanation:

The vertex formula of a quadratic equation is:

●y= a(x-h)^2 +k

(h,k) are the coordinates of the vertex

Here: h = -5 and k= -2

y is 2 and x is -4

● 2 = a (-4-(-5))^2 + (-2)

● 2 = a (-4+5)^2 -2

● 2 = a *1^2 -2

● 2 = a -2

● 4 = a

Answer:

hello your question lacks some information below is the complete question

Suppose you are designing a cardboard box that must have a volume of  27 cubic feet. The cost of the cardboard is ​$0.15 per square foot. What is the most economical design for the box​ (one that minimizes the​ cost), and how much will the material in each box​ cost?

Answer : Box design , $8.1 ( cost of material in each box)

Step-by-step explanation:

Volume of cardboard box = 27 cubic feet

cost of cardboard = $0.15 square feet

i) The most economical design for the box would be Designing a square box because the dimensions of the box would be [tex]\sqrt[3]{27}[/tex] = 3 ft

ii) The cost of the material for each box can be calculated as

= surfaces * surface area * cost per square foot

= 6 * 3^2 * $0.15

= $8.1

Answer:

Type I error

Step-by-step explanation:

Here, we are interested in knowing the type of error that stems from the hypotheses set up

in the question.

From the suggestion of the sample, we know that the food is actually safe but was wrongly labeled as being unsafe.

So in this case, the type of error committed is the type 1 error since the food is actually safe but there was a wrong suggestion of being generally unsafe by the sample

Answer:

7.3%

Step-by-step explanation:

Let M = Maths

E = English

P(M ∪ E) = P(M) + P(E) - P( M ∩ E)

From the question:

P(M ∪ E) = 35.7%

P(M) = 18%

P(E) = 24%

P( M ∩ E) = unknown

35.7% = 18% + 24% - P( M ∩ E)

35.7% = 42% - P( M ∩ E)

P( M ∩ E) = 42% - 35.7%

P( M ∩ E) = 7.3%

Therefore, the probability that a student who receives an A in Math course will also receive an A in English course is 7.3%.

Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form:            Ax + By = C.

Answer: B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

There is no price difference between the two stores.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine if there is a price difference between the two stores.

The hypothesis for the test can be defined as follows:

H₀: There is no price difference between the two stores, i.e. d = 0.

Hₐ: There is a price difference between the two stores, i.e. d ≠ 0.

From the information provided the sample mean and standard deviation are:

 [tex]\bar d=-0.464\\\\S_{d}=1.019[/tex]

Compute the test statistic value as follows:

 [tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-0.464}{1.019/\sqrt{10}}=-1.4399\approx -1.44[/tex]

The test statistic value is -1.44.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

The degrees of freedom is:

n - 1 = 10 - 1 = 9

Compute the p-value of the test as follows:

[tex]p-value=2\cdot P(t_{\alpha/2, (n-1)}>-1.44)[/tex]

               [tex]=2\cdot P(t_{0.10/2, 9}>-1.44)\\=2\times 0.092\\=0.184[/tex]  

*Use a t-table.

The p-value of the test is 0.184.

p-value= 0.184 > α = 0.10

The null hypothesis was failed to be rejected.

Thus, it can be concluded that there is no price difference between the two stores.

Answer:

infinitely many solutions

Step-by-step explanation:

0 = 0 ← is a true statement.

Indicates that the 2 lines are the same line, that is one lying on top of the other.

Thus the system has an infinite number of solutions

Because Mr. Brown arrived to an identity, we conclude that there are infinitely many solutions.

First, the solutions of a system of equations are the points (x, y) where the graphs of both equations intercept.

Particularly, if we have two times the same equation, then the graphs intercept in infinite points, which means that we will have infinite solutions.

So, always that we have an identity in our solution (something like 0 = 0) we have infinite solutions (that happens because we do not have restrictions for x or y, which means that for every value of x, we will find a point (x, y) that is a solution of the system).

Then we conclude that the system has infinitely many solutions.

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Answer: 17.75

Step-by-step explanation:

The interquartile range(IQR) is the 3rd quartile - the 1st quartile.

How to get quartiles:

First get the median:

3.5, 10.4, 16, 21.7, 27.7

10.4, 16, 21.7

16

Then find the median of the first half of data(3.5, 10.4)

(3.5+10.4)/2 = 6.95

Then find the median of the last half of data(21.7, 27.7)

(21.7+27.7)/2 = 24.7

Then to get the IQR subtract 6.95 from 24.7 to get 17.75

Hope it helps <3

Answer11.3

Step-by-step explanation:

Since there is an odd amount of values

find you lower median by taking the 3 lower numbers and using the middle number 10.4 (Q1)

then find your higher median with the 3 higher numbers and using the middle number 21.7 (Q3)

Then subtract Q3 - Q1

21.7-10.4 giving you the answer 11.3

Answer:  D

Step-by-step explanation:

The solution of the two equations does not exist since they are parallel.

Slope of a line is the ratio of the change in y coordinates to the change in x coordinates of two points.

Equation of a line in slope intercept form is y = mx + b, where m is the slope and b is y intercept.

Given linear equation of a line in slope intercept form as,

y = 1/2 x + 1

Here slope = 1/2 and y intercept = 1

y intercept is the y value of a point where it touches the y axis.

A second linear equation is to be found by using the values in the table.

Taking two points (2, 7) and (0, 6).

Slope = (6 - 7) / (0 - 2) = (-1) / (-2) = 1/2

Since the point (0, 6) is given, 6 is the y coordinate when the line touches the Y axis.

y intercept = 6

Equation of the second line is,

y = 1/2 x + 6

Since the slopes of two lines are equal, they are parallel.

There is no solution for two parallel lines.

Hence there is no solution for the linear equations given.

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Answer:

The solution of the system of equations is (x,y) = (2,0)

Step-by-step explanation:

The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:

[tex]y-y_1=m(x-x_1)[/tex]

Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, the equation of the line through the points (3, 1) and (–5, –7) is:

[tex]m=\frac{-7-1}{-5-3}=1[/tex]

[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]

Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:

x - 2 = 0.5 x - 1

x - 0.5x = 2 - 1

x = 2

Replacing x=2 in the equation y=x-2, we get:

y =2 - 2 = 0

Finally, the solution of the system of equations is (x,y) = (2,0)

Answer:The solution of the system of equations is (x,y) = (2,0)

Step-by-step explanation:

Answer:

$122.1

Step-by-step explanation:

We are given the following data in the question

$124, ​$256 ​, $118, ​$441, ​$122, ​$335, ​$340, ​$191

Step 1

Find the mean

Mean = Sum of Terms / Number of Terms

Number of Terms = 8

Mean = ($124 + $256 ​+ $118 + ​$441 + $122 + ​$335 + ​$340 + ​$191 )/ 8

Mean = $1927/8

= $240.875

Approximately to 1 decimal place

$240.9

Step 2

Standard deviation formula

S = √( x - μ)²/ N - 1),

N = Number of terms

μ = Mean

S = √[($124 - $240.9)² + ($256 - $240.9)² + ($118 - $240.9)² + (​$441 - $240.9)² + ($122 - $240.9)² + ​($335 - $240.9)² + ​($340 - $240.9)²+ ​($191 -$240.9)²/ 8 - 1]

S = $122.0895

Approximately to 1 decimal place

S = $122.1

Therefore, the standard deviation for the given data is $122.1

Answer:

Step-by-step explanation:

Area of shaded region it is area of hexagon minus area of circle.

A regular hexagon is comprised of six equilateral triangles (of the same sides).

So its area:  [tex]A_1=6\cdot\dfrac{S^2\sqrt3}{4}=\dfrac{3S^2\sqrt3}2[/tex]     {S = side of the triangle}

Height (H) of such a triangle is equal to radius (R) of a circle inscribed in the hexagon:

[tex]R = H = \dfrac{S\sqrt3}{2}[/tex]

Area of shaded region:

[tex]A=A_1-A_\circ=\dfrac{3S^2\sqrt3}2-\pi R^2=\dfrac{6S^2\sqrt3}4-\pi\left(\dfrac{S\sqrt3}2\right)^2=\dfrac{S^2(6\sqrt3-3\pi)}4[/tex]

S = 6 cm

so:

[tex]A=\dfrac{6^2(6\sqrt3-3\pi)}4=\dfrac{36(6\sqrt3-3\pi)}4=9(6\sqrt3-3\pi)=27(2\sqrt3-\pi)\ cm^2\\\\A=27(2\sqrt3-\pi)\ cm^2\approx8.71\ cm^2[/tex]

Answer:

Terrance is incorrect

Step-by-step explanation:

Supplementary angles add to 180 degrees

4x+30 + 2x+6 = 180

Combine like terms

6x+36 = 180

Subtract 36 from each side

6x+36-36 = 180 -36

6x =144

Divide by 6

6x/6 = 144/6

x =24

Answer: 81

Step-by-step explanation:

First digit  and    Second digit    and    Third digit    and    Fourth digit

3 choices  x       3 choices          x        3 choices      x       3 choices     = 81

Answer:

0.75

Step-by-step explanation:

The average length is given as the sum of all the lengths given divided by the number of lengths (frequency).

Mathematically:

Average = (Sum of lengths) / frequency

The lengths given are -3, 3, -4, -3, 4, -2, 6, 5. There are 8 lengths there.

The average is therefore:

Average = (-3 + 3 + (-4) + (-3) + 4 + (-2) + 6 + 5) / 8

Average = 0.75

Answer:

1 Pound of Rock = .01 cubic feet

OR 100 pounds per cubic foot

A) Company needs 500,000 pounds of rock

Volume of Rock to be transported: = 500,000 * .01 =

5,000 cubic feet

B) Volume of each truck 12 * 9 * 8 = 864 cubic feet

C) Trucks needed for entire shipment:

= 5,000 / 864 = 5.78

So, we'll need 6 trucks.

Step-by-step explanation:

Answer:

The difference between the two throws is 6/7 yards

Step-by-step explanation:

Beatrice throw=1 7/14 yards

Tilly throw=9/14 yards

Difference between the two throws=Beatrice throw - Tilly throw

=1 7/14 - 9/14

=21/14 - 9/14

= 21-9/14

=12/14

=6/7 yards

The difference between the two throws is 6/7 yards

Answer:

20 miles

Step-by-step explanation:

Given that :

When the car traveling north 'N' had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east

Let the distance moved by the east bound car be e,

therefore, distance between the cars when the northbound car had traveled a distance of 15 miles = e + 5

Using Pythagoras rule:

(Hypotenus)^2 = (adjacent)^2 + (Opposite)^2

(e+5)^2 = 15^2 + e^2

(e+5)(e+5) = 225 + e^2

e^2 + 5e + 5e + 25 = 225 + e^2

e^2 + 10e + 25 = 225 + e^2

e^2 - e^2 + 10e = 225 - 25

10e = 200

e = 200 / 10

e = 20 miles

Check attached picture for solution diagram

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

% mark up = (m.p - c.p)/c.p) × 100

Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

(500/1500) × 100 = 33.33%