You were painting a room in your house. Unfortunately, you lost the lid to the 5 gallon bucket of paint, but you only used half of the paint. You want to save the paint, so you plan on transferring it to a new container. The new container is shaped like a rectangular prism. If there are originally 1,155 cubic inches of paint in the 5 gallon bucket, is your container big enough to fit the paint that is left over? Remember that half the paint is left in the bucket.

1+3-2+0=2

-3-2+1+2=-2

Answer:

d.-½ ,represent change of y with respect to x

Step-by-step explanation:

The values of y with respect to x are :-

Thus, -½ in the value of the change in y with respect to x.

Step-by-step explanation:

[tex] = \frac{ \frac{10}{3} }{ \frac{2}{3} } [/tex]

[tex] = \frac{10}{3} \div \frac{2}{3} [/tex]

[tex] = \frac{10}{3} \times \frac{3}{2} [/tex]

[tex] = \frac{9 + 1}{3} \times \frac{3}{2} [/tex]

[tex] = 3 \frac{1}{3} \times \frac{3}{2} [/tex]

[tex] = 3 \frac{1}{3} .( \frac{3}{2} )[/tex]

The answer is B.

Mickey, Making errors could be that he must be found out that cost of one carton is $0.50, by dividing 12 cartons with total cost and by this  e figured it out the cost of 7 carton is just $3.5.

In this question is  arithmetic, what we have in, the question is 12 cartons of eggs cost $22.20. we need to find out the cost of seven cartons.

In mathematics it deals with numbers of operations according to the statements.

Here, the cost of one carton is given by;
  =  22.20/12  = $1.85

now the cost of seven cartons,

   = 1.85 x 7 = 12.95 ≅ $ 13

Thus, Mickey made the mistake in his calculation and didn't get the right cost for seven cartons which is $13.

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Answer: 80.5

Step-by-step explanation:

 Given that,

 Base of Triangle = 23 ft

 Height of Triangle = 7 ft

We know,

Area of Triangle

= 0.5 × Base × Height unit^2

=(0.5 × 23 × 7) ft^2

 = 80.5

Answer:1981

Step-by-step explanation:

Answer:

$254,567

Step-by-step explanation:

The houses market value is $152,740 and has a 60% assessment rate, the assessed valuation of this house would be $254,567. How we got this was by dividing the house total which is $152,740 by the assessment percentage rate which is 60 percent. Simply $152,740÷0.60

Answer:

The correct answer would be B) 2

Answer:

C 1/2

Step-by-step explanation:

Since the angels of these triangles are same,they are totally similar.

The ratios of their sides are

10/20=1/2

8/16=1/2

6/12=1/2

So, The scale factor is 1/2.

Answer: 24yd^2

Step-by-step explanation:

area of triangle=(1/2) (base)(height)  eq(*)

 from given  triangle

height  =6 yd

base     =8yd

putting values in eq(*)

area=(1/2)(8)(6)

area    =24yd^2

Answer:

24yd²

Step-by-step explanation:

Area of a triangle=1/2*base*height

1/2*8*6

u'll be left with

4*6=24

Therefore Area of the triangle is 24yd².

HOPE THIS HELPS

Answer:

3x-10=x+40

X=25

Angels are 65

Ans:c

In the statement regarding outlier we have to fill "most" to complete the statement.

Given An outlier is a data value that is numerically distant from_________ of the other data points in a set of data.

We have to fill the blank. We can fill " most" in the blank.

If a number in data is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution then that number is said to be an outlier.

There are two types of outliers: upper outliers, lower.

If any values in the data set are greater than the upper boundary then those values are the upper outliers.

If any values in the data set are less than the lower boundary then those values are called lower outliers.

Lower quartile =[tex]Q_{1}-1.5*IQR[/tex]

Upper quartile=[tex]Q_{3}+1.5*IQR[/tex]

Hence we have to use most in the sentence to complete it.

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Answer:

2 Pas

Step-by-step explanation:

pressure = force/area

p= 30N/2m²

p=15pas

Answer:

Pressure = 15 N/m²  =  15 Pa

Step-by-step explanation:

[tex]Pressure = \frac{Force \space\ \space\ applied}{Area}[/tex]

[tex]Pressure= \frac{30}{2} \\\\Pressure = 15 \space\ N/m^2[/tex]

The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.

Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.

We have to first form an equation.

If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.

Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.

y+y+1+1+1=y+y+y+y+2

2y+3=4y+2

2y-4y=2-3

-2y=-1

y=1/2

Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.

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Question is incomplete as it should include the given figure.

The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.

The relationship between speed S and distance D with a period T is formed as

S = D/T

Units: m/sec (basic unit)

Given that,

Jaylen and Ken started jogging from the same place in opposite directions along a straight path.

This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)

Consider,

The distance traveled by Jaylen = x km

Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)

Step 1: Finding the distance traveled by them:

x + x - 2.4 = 13.6

⇒ 2x = 13.6 + 2.4

⇒ 2x = 16

⇒ x = 8 km

So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km

Step 2: Finding the average speed traveled by Ken:

Since it is given that,

Jaylen's speed was 30 m/min faster than Ken's speed.

So,

For 30 m, the time = 1 min

then for 2.4 km i.e., 2400 m, the time = 80 min.

Therefore,

the average speed of Ken S = D/t

⇒ S = 5600 m / 80 min

∴ S = 70 m/min.

So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.

Thus, the average speed of Ken is 70 m/min.

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The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.

Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.

An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.

The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:

2.8y+6+0.2y=5y-14

We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.

3y+6=5y-14

We have to take same variables at one side.

3y-5y=-14-6

-2y=-20

y=-20/-2

y=10

Hence the solution of the linear equation 2.8y+6+0.2y=5y-14  is y=10.

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The value of the discriminant is zero and therefore the equation has two equal and real roots.

For a quadratic Equation ax²+bx+c = 0 , the discriminant is D = b²-4ac

The given quadratic equation is -2x² = -8x+8

comparing with the standard equation

a = 1

b = -4

c = 4

Simplifying the equation given

[tex]\rm -2x^2+8x-8 = 0\\\\ -2(x^2-4x+4) = 0\\\\x^2-4x+4 = 0[/tex]

The discriminant is given by

D = (-4)²-4 * 1 *4

D = 16-16

D = 0

If D = 0 ,the equation has two equal and real roots.

Therefore, The value of the discriminant is zero.

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The number of pennies, x, and the number of nickels, y that Jin has is 10 and 2 respectively.

The equation:

x + y = 12

0.01x + 0.05y = 0.20

from (1)

x = 12 - y

substitute 12-y into (2)

0.01x + 0.05y = 0.20

0.01(12 - y) + 0.05y = 0.20

0.12 - 0.01y + 0.05y = 0.20

- 0.01y + 0.05y = 0.20 - 0.12

0.04y = 0.08

y = 0.08/0.04

y = 2

substitute y = 2 into (1)

x + y = 12

x + 2 = 12

x = 12 - 2

x = 10

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Answer: θ≈48,81°.

Step-by-step explanation:

[tex]sin\theta=\frac{8}{\sqrt{113}}\\sin\theta } =\frac{8*\sqrt{113} }{\sqrt{113}*\sqrt{113} } \\sin\theta=\frac{8*\sqrt{113} }{113} \\sin\theta\approx0,75258\\\theta\approx48,81^0.[/tex]

Good luck an' have a nice day!

Answer:

it means y intercept

Step-by-step explanation:

The number of ways to make the playlist with all different songs such that the 4 songs are in order is; 16!/13!3!.

It follows from the task content, that a playlist of 16 songs is to be made.

Additionally, the songs Leavon, Dream on, Here Comes the Sun, and Clocks must be played in order.

In essence, only 13 varieties are now available from the sixteen.

Therefore, the number of different ways to make the playlist is; 16!/13!3!.

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Answer:

b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).

Step-by-step explanation:

See attached image.

Parallel lines are lines in a plane that are always the same distance apart.

☆...hope this helps...☆

_♡_mashi_♡_

Lines with the same slope that never touch each other.

Parallel lines share the same slope (direction). Attached is an example of two lines parallel to each other, [tex]y=2x-1[/tex] in red and [tex]y=2x+1[/tex] in green. They both have a slope of [tex]2[/tex], which is what makes them parallel.

The probability that she selected a white tile or a tile with an even number will be 9/20.

The probability simply means the act of choosing an event based on the likely occurence.

In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.

Therefore, the correct option is D.

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Step-by-step explanation:

here we have to know that, if A/B=A'/B' is equal to 1 it means it doesn't cut. if it isn't equal to 1, it does.

A=3 B=4

A'=4 B'=3

3/4=4/3 it cuts. Now, they are straight lines because we don't have x² or anything, so they can just intersect once between them.

The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C

The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.

If the two triangles are to be similar, we have that:

45/x = 75/50

Cross multiply

x = (45 × 50)/75

x = 2250/75

x = 30

Therefore, the value of x would be 30 . Option C

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The area of the unshaded region of the circle will be 120π units squared.

The area of a sector of a circle of radius r having an angle a° is given by:

Area of sector = (π*[tex]r^{2}[/tex])*(a°/360°) units squared.

Given ∡KLM = 60°. The radius of the circle is 12 units.

⇒The area of shaded sector KLM =  (π*[tex]12^{2}[/tex])*(60°/360°) = π·144/6 = 24π sq. units.

The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π*[tex]12^{2}[/tex]) - 24π = 120π sq units.

∴ The area of the unshaded region of the circle is 120π units squared.

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This question is incomplete. Find the missing figure below.

The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%

Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.

It is given that

0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish

From the data it can be observed that

Total number of single digits numbers = 80

No. of Perch , "5 " = 8

Probability of getting a perch in next fish = 8/80 = 0.1

Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)

P ( no perch) = 1 - 0.1 = 0.9

for 4 fishes

= 1 - 0.9⁴

= 0.3439

= 34.39%

≈ 34%

Therefore the estimated probability that at least one of the next four fish

Roxanne catches will be a perch is 34%.

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Answer:

x > 9

Step-by-step explanation:

Hello!

First let's solve the inequality for x.

Flip the sign if you are dividing by a negative number.

Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.

Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).

The sample size which will produce sample proportion of 0.3 and 95% confidence interval is 36.

Given sample proportion of 0.3, confidence level 95%.

A confidence interval of proportions is given by:

π±z[tex]\sqrt{}[/tex]π(1-π)/n

In which :

π is the sample proportion,

z is the critical value

n is the sample size.

Margin of error=z[tex]\sqrt{}[/tex]π(1-π)/n

z value for confidence level of 95% is 1.96

Margin of error=1.96[tex]\sqrt{0.3*0.7/n}[/tex]

The widest interval has the highest margin of error, since the margin of error and since the margin of error is inversely proportional to the sample size , a lower sample size generates a higher margin of error.

Hence sample size which is correct is 36.

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Question is incomplete as it also includes options like:

a)46

b)68

c)56

d)36.  

Answer:

12

Step-by-step explanation:

Time=D/S

T1=PQ/20

T2=PQ/30

Total Time=T1+T2

1=PQ/20+PQ/30

PQ=12