Slope intercept form

Answer:

See Explanation

Step-by-step explanation:

Given [Missing Information]

[tex]Red = 12[/tex]

[tex]Blue = 10[/tex]

[tex]Green = 15[/tex]

[tex]Yellow = 13[/tex]

Way 1:

Add up the total marbles that are not red.

[tex]Not\ Red = Blue + Green + Yellow[/tex]

[tex]Not\ Red = 10 + 15 + 13[/tex]

[tex]Not\ Red = 38[/tex]

Divide by total marbles to get the probability;

[tex]Probability = \frac{Npt\ Red}{Total}[/tex]

[tex]Probability = \frac{38}{38 + 12}[/tex]

[tex]Probability = \frac{38}{50}[/tex]

[tex]Probability = 0.76[/tex]

Way 2:

Calculate the probability of choosing red

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{12}{50}[/tex]

[tex]P(Red) = 0.24[/tex]

Apply complement rule (i.e. subtract it from 1)

[tex]P(Not\ Red) = 1 - P(Red)[/tex]

[tex]P(Not\ Red) = 1 - 0.24[/tex]

[tex]P(Not\ Red) = 0.76[/tex]

Answer:

-0.048

Step-by-step explanation:

-30 * -1/5 = 6

6 * -1/5 = -1.2

(Remember -30 is first term so we subtract 1 from 5 in the exponent)

-30 * (-1/5)^4 =  -0.048

Answer:

he would only be able to buy 2 boxes of pizza

Step-by-step explanation:

Subtract $1.99 from the $15 he has.

$15 - $1.99 = $13.01

Divide $13.01 by $4.00

$13.01/$4.00 = 3.25

There is a decimal in the final answer which means its not a whole pizza. So, the max he would be able to buy is 2 bokes of pizza

Step-by-step explanation:

A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.

find her speeds for both parts of the journey.

:

let s = his original speed

then

(s+9) = the increased speed

:

Write a time equation; time = dist/speed

146%2Fs = 164%2F%28%28s%2B9%29%29

cross multiply

164s = 146(s+9)

164s = 146s + 1314

164s - 146s = 1314

18s = 1314

s = 1314/18

s = 73 km/h is his original speed

:

Answer:

xy-3x=40, x=5

x(y-3)=40

y-3=(40/x)

y=(40/x)+3

y=(40/5)+3

y=8+3

y=11

If the variables x and y vary inversely then when x=-3 and y =-8

Two or more expressions with an Equal sign is called as Equation.

Since x and y vary inversely, we can write the equation:

x y = k, where k is a constant of variation.

Using the given values, we can find k:

(-4)(-6) = k

k = 24

So the equation relating x and y is:

x y = 24

To find y when x = -3, we substitute x = -3 into the equation and solve for y:

(-3) y = 24

y = -8

Therefore, when x = -3, y = -8.

To learn more on Equation:

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Answer: 127 11/12

Step-by-step explanation:

1. 1/2 + 3/4 = 2/3

Change 1/2 by by multiplying by 2 to get a common denominator of fourths.

2/4 + 3/4 = 2/3?

5/4 = 2/3?

no

2. 5/8 - 1/4

Change 1/4 by by multiplying by 2 to get a common denominator of eighths.

5/8 - 2/8 = 3/8?

3/8 = 3/8 ?

yes

3/8 x 10 = 30/8

3. 4/5 +7/10 = 1 1/2

Change 4/5 by multiplying by 2 to get a common denominator tenths.

8/10 + 7/10 = 1 1/2?

15 /10 = 1 1/2?

yes

1 1/2 x 10 = 25

4. 2 1/3 - 1 5/6 = 1/6

Change 1/3 by multiplying by 2 to get a common denominator sixths.

2 2/6 - 1 5/6 = 1/6?

3/6 = 1/6

no

100 -2/3 - 1/6 + 30/8 + 25

multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.

100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24

create mixed number

127 22/24

reduce

127 11/12

You are given either the x value or the y value.

Replace the x or y in the equation and solve for the missing values.

-4x + 5y = 3

First you are given x = 0:

So you have -4(0) + 5y = 3

Simplify:

0 + 5y = 3

Divide both sides by 5:

y = 3/5

Next you have x = 1:

-4(1) + 5y = 3

Simplify:

-4 + 5y = 3

Add 4 to both sides:

5y = 7

Divide both sides by 5:

y = 7/5

Third you are given y = 3

-4x + 5(3) = 3

Simplify:

-4x +15 = 3

Subtract 15 from both sides:

-4x = -12

Divide both sides by -4:

x = 3

Step-by-step explanation:

Given - f(t)=110(1.35)^{\frac{t}{40}}

To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients

               to four decimal places.

Proof -

Given that , the function is  f(t)=110(1.35)^{\frac{t}{40}}

Now,

We can write it in the form of  [tex]f(t) = 110(1.35)^{\frac{t}{40} }[/tex]

By comparing with the form  [tex]f(t) = ae^{kt}[/tex] , we get

a = 110.0000

k = [tex]\frac{1}{40}[/tex] = 0.0250

Answer: The answer is 19

Step-by-step explanation: EDGE2020

The mean of the difference D = S - F is 19, which is the correct option (B).

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

To calculate the mean of the difference D = S - F, we need to find the expected value of the difference between two random variables, one representing the scores of senior students and the other representing the scores of first-year students.

Here,

μS = 123

μF = 104

The mean of the difference is the difference of the means, so we have:

μD = μS - μF

μD = 123 - 104

μD = 19

Therefore, the mean of the difference D = S - F is 19.

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Answer:

a; 3.45 * 10^3

b) 2.34 * 10^18

c) 80%

Step-by-step explanation:

a) 3450 in standard form

To write in standard form, we have to place a decimal at the back of the first non-zero number

we have this as ;

3.450

The count of numbers after the decimal point is 3

This will be the power to which 10 will be raised

We have this as;

3.45 * 10^3

b) 234 * 10^16

Let us write 234 in standard form

That will be;

234 = 2.34 * 10^2

So we have ;

2.34 * 10^2 * 10^16

Using the law of indices, we have;

2.34 * 10^(2 + 16) = 2.34 * 10^18

c) From the question, Kuwait is 4/5 of Hong kong’s population

Let Honk Kong’s population be x

4/5 * x = 2.4 million

4x = 5 * 2.4 million

x = 5 * 2.4/4

x = 5 * 0.6

x = 3 million

so writing the population of Kuwait as a percentage of that of Hong kong, we have

2.4/3 * 100%

= 0.8 * 100% = 80%

Answer:

Step-by-step explanation:

For the multiplication of two matrices, number of columns in 1st matrix should be equal to the number of rows of the 2nd matrix.

In the given question,

1st matrix → [tex]\begin{bmatrix}2 & 8 & 1\\ 0 & 5 & -2\end{bmatrix}[/tex]

Number of columns in this matrix = 3

2nd matrix → [5 2 1]

Number of rows in this matrix = 1

Therefore, number of columns in 1st matrix are not equal to the number of rows in the 2nd matrix.

Therefore, multiplication of matrices given in the picture is "Impossible".

Answer:

impossible

Step-by-step explanation:

accellus

Step-by-step explanation:

Given

-2 [4 - 3x] + 5x - 2

= - 8 + 6x + 5x - 2

= 11x - 10

Hope it will help :)❤

Answer:

11x-10

Step-by-step explanation:

-8+6x+5x-2

11x-10

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Answer:

Step-by-step explanation:

A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...

  -2x

You want that product greater than 30. The symbol for "greater than" is >, so you have ...

  -2x > 30 . . . . the desired inequality

__

The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."

  x < 30/(-2)

  x < -15 . . . . . . the desired solution

_____

Additional comment

It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.

Consider ...

  1 < 2

  -1 > -2

Answer:

1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees

Step-by-step explanation:

since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.

Answer:

He can buy no more than 4 earrings.

Step-by-step explanation:

25-9.50= 15.50

15.50÷3.75= 4.1333333

Answer:

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer:

148 degrees

Step-by-step explanation:

360 - 74 - 138 = 148 degrees

Answer:

Find the area of each room and add the areas

Step-by-step explanation:

Please find the full question in the attached image

the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together

for example ,

dimension of room 1 = 5 x 3

dimension of room 2 = 2 x 3

dimension of room 3 = 4 x 5

area of room 1 = 15

area of room 2 = 6

area of room 3 = 20

total area = 15 + 6 + 20 = 41

Answer:

x = 25.46

Step-by-step explanation:

[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]

Answer:

34.41º

Step-by-step explanation:

0.93 times 9=8.37 degrees per minute

7 times 8.37=58.59

93-58.59=34.41

Answer:

100 miles

Step-by-step explanation:

Given data

let the number of miles driven be x

and the total charge for x miles be y

Hence the expression for the total charge is

Rapid Rental Car

charges a $55.00 rental fee plus $0.25 per mile driven.

y= 55+0.25x--------------1

Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.

y= 45+0.35x--------------2

Equate 1 and 2

55+0.25x= 45+0.35x

collect like terms

55-45=0.35x-0.25x

10=0.1x

x= 10/0.1

x= 100 miles

Hence the mile is 100 miles

Answer:

$10.25

Step-by-step explanation:

Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins

To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations

-6c - 4m = -14

2c + 4m = 8   notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6

so we have -4c = -6 so c = $1.50

To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so

4.5 + 2m = 7, 2m = 2.5, so m = $1.25

So now solve the final problem 6(1.50) + 1(1.25) = $10.25

Answer:

10

Step-by-step explanation:

1 board = 3/4 foot = 0.75 of a foot

x boards = 8 feet

1/x = 0.75 / 8 feet                                   Cross multiply

0.75 x = 8                                               Divide both sides by 0.75

x = 8/0.75

x = 10 2/3 boards.

We are told to throw the fractional board away so Raul will get 10 pieces from an 8 foot piece of lumber.

Answer:

ugghhh I think it's a ughhh carrot

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

Answer: Rectangle, Rhombus, Square

Step-by-step explanation: