Evaluate 8 7/8 + (7 5/6−2 1/3)

The total number of outcomes is 16 if the two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.

A permutation can be defined as the number of ways a set can be arranged, order matters, but in combination, the order does not matter.

Total number of outcomes on the first spinners = 4 (red, green, white, blue)

Total number of outcomes on the second spinners = 4 (red, green, white, blue)

Total number of outcomes = 4×4 = 16

Total outcomes:

RR    RG    RW   RB

GR    GG   GW   GB

WR   WG   WW   WB

BR    BG    BW   BB

Thus, the total number of outcomes is 16 if the two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.

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Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, [tex]\frac{4}{3}[/tex] )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = [tex]\frac{A'}{A}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{\frac{4}{3} }{4}[/tex] = [tex]\frac{1}{3}[/tex]

similarly B (1, - 2 ) and B' ([tex]\frac{1}{3}[/tex], - [tex]\frac{2}{3}[/tex] )

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

Based on the size of the pool that Mr. DelGrande wants to build, the ratio of the Olympic pool to the smaller pool is 2.5:1 and the area of an Olympic pool is 1,250 m².

The ratio of the pools is:

Olympic pool length : Mr. DelGrande pool

             50                 :              20

Simplest terms give:

50 / 20 : 20 / 20

2.5 : 1

Given the area of Mr. DelGrande's pool, the area of an Olympic pool is:

= Ratio ² x Area of Mr. DelGrande pool

= 2.5² x 200

= 1,250 m²

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Answer:

[tex]5x - 2y = - 10 \\ 5x = - 10 + 2y \\ x = \frac{ - 10 + 2y}{5} \\ \\ [/tex]

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

Answer:

12.7

Step-by-step explanation:

Its a pythagerous question question

so if the ladder is 8 feet from the wall the base is 8

and the ladder is 15 foot and is the hypotemuse

so 15^2-8^2=161^2

The root of 161 = 12.69 rounded to 2 dp

so 12.7

The distance far the top of the ladder from the ground is 12.7 feet

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given that;

Length= 15foot

Base= 8feet

Now,

In this case, the ladder is the hypotenuse, and the base and the height are the legs. So, we can write:

15^2 = 8^2 + h^2

where h is the height of the ladder from the ground. Solving for h, we get:

h^2 = 15^2 - 8^2

h^2 = 225 - 64

h^2 = 161

h = sqrt(161)

h = 12.688

Therefore, by  Pythagoras theorem the answer will be 12.7 feet.

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A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.

Here we have the inequality:

3y - 9x ≥ 9

First, we should isolate y on one side of the inequality.

3y  ≥ 9x + 9

y  ≥ 3x + 3

Then, the graph will be a solid line of the form:

y =  3x + 3

Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.

Also, notice that for the line:

y = 3x + 3

if x = -1 we have:

y = 3*(-1) + 3 = 0

if x = 0 we have:

y = 3*0 + 3 = 3

Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.

"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."

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a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

The given data set is 141, 116, 117, 135, 126, 121.

a) The range is the difference between the highest and lowest values within a set of numbers.

Range = Highest value - Lowest value

= 141-116

= 25

So, the range is 25.

b) Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

[tex]s=\sqrt{\frac{(x_i-\bar x)^2}{n-1} }[/tex]

Here, mean ([tex]\bar x[/tex]) = [tex]\frac{141+116+117+135+126+121}{6}[/tex]

= 126

[tex]s=\sqrt{\frac{(141-126)^2+(116-126)^2+(117-126)^2+(135-126)^2+(126-126)^2+(121-126)^2}{6-1}}[/tex]

[tex]s=\sqrt{\frac{(15^2+(-10)^2+(-9)^2+(9)^2+(0)^2+(-5)^2}{5}}[/tex]

[tex]s=\sqrt{\frac{(225+100+81+81+25)}{5}}[/tex]

[tex]s=\sqrt{\frac{512}{5}}[/tex]

s=10.1

So, the standard deviation is 10.1.

Therefore,

a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

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the first equation is 15

the second equation is 3

the third equation is 17

the fourth equation is 7

the fifth equation is 6

the sixth equation is 50

the seventh equation is 2

the eighth equation is 5

the ninth equation is 11

the tenth equation is 31

Please can i have brainliest I did all answers correct I hope this helps you

The slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

The formula for the slant height of the cone is given as:

[tex]l^2=r^2+h^2[/tex]

Here we have

r=2 units

h=4 units

By putting the values we will get

[tex]l=\sqrt{4^2+2^2[/tex]

[tex]l=\sqrt{16+4[/tex]

[tex]l=\sqrt{20}[/tex]

[tex]l=2\sqrt{5}[/tex]

Hence the slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

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Step-by-step explanation:

Apply exponent rule: (a. b)^n= a^n b^n

=3²(x¹⁰)²(y⁴)²

3²=9

=9(x¹⁰)²(y⁴)²

break =9(x¹⁰)²(y⁴)² into two

simplify (X¹⁰)² = (x²⁰)

simplify (y⁴)²=(y⁸)

=9(x²⁰)(y⁸)

Answer:

(10,0)

Step-by-step explanation:

Moving right 2 units will increase the x value by 2 since you are going further 'down the corridor'. Hope this helps.

Answer:

  C.  f(n) = 8n − 359

Step-by-step explanation:

The given arithmetic sequence has first term -351, and common difference (-343 -(-351)) = 8. The common difference will be the multiplier of n in the explicit function.

__

You can identify the appropriate explicit function by finding the one that correctly describes the sequence. Evaluating each for n=1 is sufficient. (You will note that choices B and D have the wrong sign on the multiplier of n.)

A f(1) = 8 -351 = -343

B f(1) = -8 -351 = -359

C f(1) = 8 -359 = -351 . . . . correctly gives the first term

D f(1) = -8 +359 = 351

The sequence is defined by the explicit function ...

  f(n) = 8n -359

Answer:A:f(n)=8n-359

Step-by-step explanation:

Answer:

i guess 87

Step-by-step explanation:

87.2

nearest must be 87

if 87.5

nearest is 88

See

The rule is If the number aside(right) to the number where to be rounded is less than 5 then it remains same else increases one

So

it will yield as 87

Answer:

A: Isosceles (two sides the same)

B: Equilateral (all sides the same)

C: Scalene (all sides different)

Step-by-step explanation:

Answer:

they are congruent

Step-by-step explanation:

b because a same size

The correct student is Marcus because the power of the polynomial decreases till  0

The polynomial expressions are given as:

Marcus: 3x³ - 4x²y + y³ + 2

Ariel: y³ - 4x²y + 3x³ + 2

The standard form of a polynomial with the variable x is:

P(x) = ax³ + bx² + cx + d

This means that the power of the polynomial decreases till it gets to 0

Using the above form as a guide, the correct student is Marcus.

Marcus is correct because the power of the polynomial decreases till it gets to 0

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Answer:

u drag the green dot thing over to the coordinate (6,8)

Step-by-step explanation:

i put a black dot where i think ur supposed to drag the green dot to

An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are C and F.

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

The points that are true about the given scatter plot are:

C.) There appears to be a positive association.

F.) A cluster appears to be at the bottom left corner.

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Answer:

7.1

Step-by-step explanation:

To round 7.09 to the nearest tenth, you must use the hundredths' place value of 7.09, which is 9 and equal or more than 5. Therefore, the tenths value of 7.09 increases by 1 to 7.1.

If the volume of the cube is 1/27 cubic inches. Then the volume of the prism will be 10 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

A prism is completely filled with 270 cubes that have an edge length of 1/3in.

Then the volume of the prism will be given as

Volume of prism = 270 (volume of the cube)

Then the volume of the cube will be

Volume of cube = (edge)³

Volume of cube = (1/3)³

Volume of cube = 1/27 cubic inches

Then the volume of the prism will be

Volume of prism = 270 × (1/27)

Volume of prism = 10 cubic inches

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The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangles are given below.

The ratio of the sides of the triangles ΔABC and ΔDEF will be

AB / DE = BC / EF = CA / FD

2 / 4 = 3 / 6 = 3.5 / 7

1 / 2 = 1 / 2 = 1 / 2

The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.

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a. The number of twix bars is 21

b. The number of jolly rangers is 11.

Julianna has thirty two pieces of candy and has four twix bars for every two jolly rangers, we need to find the ratio of candy bars.

Let

Since for every four twix bars, she has two pieces of jolly rangers, the ratio of candy bars is

x:y = 4:2 = 2:1

The number of twix bars is 21

The number of twix bars x = ratio of twix bars/total ratio × total number of candy bars

So, x = 2/(1 + 2) × 32

= 2/3 × 32

= 64/3

= 21.33

≅ 21

So, the number of twix bars is 21

The number of jolly rangers is 11.

The number of jolly rangers y = ratio of jolly rangers/total ratio × total number of candy bars

So, y = 1/(1 + 2) × 32

= 1/3 × 32

= 32/3

= 10.66

≅ 11

So, the number of jolly rangers is 11.

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The total amount of money that was spent on lunch on Tuesday is $45.94.

The total amount that was spent on food on Tuesday can be determined by adding the amount spent on breakfast, lunch and dinner. Addition is the mathematical operation that is used to determine the sum of two or more numbers.

Total amount spent = 22.13 + 12.02 + 11.79 = $45.94

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Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

For Lena, we have that d = 29, v = 36, hence the time in hours is given by:

[tex]t = \frac{d}{v} = \frac{29}{36} = 0.8056[/tex]

In minutes, the time is given by:

tM = 0.8056 x 60 = 48.

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Answer:

[tex]210547[/tex]

Hope this helps. :)

Answer:

210547

Step-by-step explanation:

Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.

Hope this Helps!

:D

Answer:

3000

Step-by-step explanation:

12x250=3000