Find the equation of the line passing
through the points (4, 2) and (6, 10).
y=[?]x+[ ]

Step-by-step explanation:

22×(t + 18) - 7

t = 13

so,

22×(13 + 18) - 7 = 22×31 - 7 = 682 - 7 = 675

Answer:

Step-by-step explanation:

b

Given two points on a line, we can find its slope using the formula below

Therefore, in our case,

Thus, the slope is equal to 1.

The number of tiles needed to cover the floor is 60 tiles.

Given Information,

The floor area of the passage = 2.4 m²

Length of a side of square tile = 200mm

Length of the side is in mm which needs to be converted in its standard form which is meters.

Therefore, the length of side = 200/1000 m

                                                = 0.2 m

Area of the square tile = 0.2 x 0.2

                                      =  0.04 m²

Let the number of tiles be x.

∴ Number of tiles = [tex]\frac{Area of passage}{Area of each tile}[/tex]

 x = 2.4/0.04

 x = 60

∴ The number of tiles needed to cover the floor is 60 tiles.

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Answer:

it may be in round about 3600000000..

The interest rate earned in 18 months will be $300

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

putting time into years for simplicity,

18 months ÷ 12 months/year = 1.5 years,

then, solving our equation

I = 4000 × 0.05 × 1.5 = 300

I = $300.00

The simple interest accumulated

on a principal of $4,000.00

at a rate of 5% per year

for 1.5 years (18 months) is $300.00.

Therefore, the interest rate earned in 18 months will be $300

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The number of times as much as her brother is Jackie now on the phone is 1 2/5 times.

From the information, Jackie used to be on the phone 3 1/2 times as much as her brother and her parents threatened to take away the phone, so she cut down to 2/5 of the time she used to be on the phone.

Therefore, the times that she's using as much as her brother will be:

= Original times × Fraction cut

= 3 1/2 × 2/5

= 7/2 × 2/5

= 7/5

= 1 2/5 times.

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The diameter of the speck of dust is written as;

⇒ 2 × 10⁻⁵ inches.

Option A is true.

What is Number system?

A way for system of writing to express the number is called number system.

Given that;

The diameter of the speck of dust = 0.00002 inches.

Now,

Find the estimate number of the diameter of speck of dust as;

Since, The diameter of the speck of dust = 0.00002 inches.

The number = 0.00002 inches

It can be written as;

0.00002 inches = 2 × 10⁻⁵ inches.

Therefore,

The diameter of the speck of dust is written as;

⇒ 2 × 10⁻⁵ inches.

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the green would be 15% of the counters

The number of counters that are green is 162 and the percentage of counters that are green is 42 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of counters = 400

The number of counters that are red = 3/8 of total number of counters

                                                              = ( 3/8 ) x 400

                                                              = 3 x 50

                                                              = 150 counters

The number of counters that are yellow = 82 counters

So , the number of counters that are green =
Total number of counters - number of counters that are red - number of counters that are yellow

The number of counters that are green = 400 - 150 - 82

                                                                  = 168 counters

Now , the percentage of counters that are green =
( number of counters that are green / total number of counters ) x 100

The percentage of counters that are green = ( 168 / 400 ) x 100

                                                                        = 168 / 4

                                                                        = 42 %

Hence , the number of counters that are green is 168 and the percentage of counters that are green is 42 %

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If r = -6,  s= -2, v=10  and w = 3 then the response of the expression vs(r-s)÷2+rw is option (d) 22

The expression is

vs (r-s) ÷ 2 + rw

To find the response, we have to substitute the values in the expression

The values of the term

r = -6

s = -2

v = 10

w = 3

Substitute the values in the given expression

= 10×-2(-6-(-2)) ÷ 2 + (-6)×3

Do the arithmetic operations in bracket

= 10×-2(-4) ÷ 2 + (-6)×3

Do the multiplication

= 80 ÷2 - 18

Do the division

= 40 - 18

= 22

Hence, if r = -6,  s= -2, v=10  and w = 3 then the result of the expression vs(r-s)÷2+rw is option (d) 22

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Answer:

1.62, 15/20, 16.2%

Step-by-step explanation:

Let us consider all the answers out of one. In percentages, 100% always equals 1. (If you ate 100% of a cookie, you would have eaten 1 cookie), 16.2% is much less than 100% and not even half of 100%.

16.2%<0.5

Following the same logic, imagine there are 20 cookies this time. 15/20 would be 15 out of the 20 cookies which is more than half.

15/20>0.5

Finally, 1.62 is greater than 1

1.62>1

You can tell I'm hungry rn lol, also I would appreciate if you could give Brainliest, I'm kind of on a streak

Answer:

x = -5

Step-by-step explanation:

f(x) = -x-4

Let f(x) = 1

Find x

1 = -x-4

Add 4 to each side

1+4 = -x-4+4

5 = -x

Multiply each side by -1

-5 =x

x = -5

Answer:

x  = -5

Step-by-step explanation:

Given that,

f ( x ) = - x - 4

If, f ( x ) = 1,

Let us find the value of x.

For that, replace f ( x ) with 1.

f ( x ) = - x - 4

1 = - x - 4

First, add x to both sides.

x + 1 = -4

Now, subtract 1 from both sides.

x = -4 - 1

x = -5

A karaoke machine regularly costs $153 but due to a discount on sale of 25%, it will cost $114.75 due to a reduction of $38.25.

Discounts are sums of money or percentages taken off of a product's usual selling price. A good or service's price is decreased by the discount.

Discount describes the circumstance when the price of a bond will be less than its face value.

According to the question, the given values are :

Original Price of the Karaoke machine = $153

Discount = 25%

So, the reduction will be :

= 153 ×(25/100)

Reduction = $38.25

Hence, the discount he gets on the karaoke machine is $38.25 or we can say that the karaoke machine will cost $114 after a reduction of 25%.

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Answer:

its 38.25

Step-by-step explanation:

I did the 3.07 test on flvs and got it right

bye, UwU :3

Answer:

10

Step-by-step explanation:

They (50 & 5x) are parallel angles, therefore 5x equals 50.

This means that to find x, you will need to find a common factor between 5 and 50, which is 5. 50/5=10

x=10

Answer:

?=5

Step-by-step explanation:

8

[tex] {8}^{4 - 2 +3} = {8}^{?} \\ {8}^{5} = {8}^{?} \\ 5 = {?}[/tex]

Answer:

The rate in m³/m² is 40m³/m².

1 m³ is literally a cube with sides that are 1 m in length.  1 m = 100 cm, so each side of this cube is 100cm in length.  Finding the volume means multiplying length by width by height:

100(100)(100)=1,000,000 cm³ in 1m³.

We know that we have 25,000cm³ of mulch; we divide to find how many cubic meters this is:

1,000,000/25,000 = 40 m³.

This makes the rate 40m³/m².

Step-by-step explanation:

The value of N/10 is 372.

The characters can be chosen from the word "AIME" or the number "2007".

There are 7 different characters that can be picked, with 0 being the only number that can be repeated twice.

There are two possible cases.

The first case is given below :

If 0 appears 0 or 1 time in the sequence, the number of possible sequences is 7!/(7-5)!.

If 0 appears 0 or 1 time in the sequence, the number of possible sequences is 2520.

The second case is given below :

If 0 appears twice in the sequence, the number of places to fill 0 is 5C2.

If 0 appears twice in the sequence, the number of places to fill 0 is 10.

The number of ways to place the remaining three characters is 6!/(6-3)!.

The number of ways to place the remaining three characters is 120.

The total number of ways in the second case is 10*120 = 1200.

The total number of ways is 2520 + 1200.

The total number of ways is 3720.

N = 3720

We have to find the value of (N/10).

N/10 = 3720/10

N/10 = 372

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Choose any point on each line different from (0,0) to find the constant of proportionality.

Notice that, for example, in the first graph, the point (4,4) lies in the line.

Divide the y-coordinate over the x-coordinate to find the constant of proportionality. This method is only valid when the point (0,0) is in the line.

For the first graph, the constant of proportionality is:

Which is equal to 1.

For the second graph, notice that the point (8,4) is in the line. Again, divide the y-coordinate over the x-coordinate to find the constant of proportionality:

Which is equal to 1/2.

For the third graph:

Notice that the point (4,8) is in the line of the third graph.

By dividing 8/4, we notice that the constant of proportionality is equal to 2.

The equation is solved for y as: y = 3x + 4.

Slope = 3

Y-intercept = 4.

Given the equation, -3x + y = 4, rewrite to solve for y:

y = 3x + 4

To create a table, substitute the values of x into y = 3x + 4.

For x = -1:

y = 3(-1) + 4

y = 1

For x = 0:

y = 3(0) + 4

y = 4

For x = 1:

y = 3(1) + 4

y = 7

For x = 2:

y = 3(2) + 4

y = 10

For x = 3:

y = 3(3) + 4

y = 13

The table is:

    x     |     y      

   -1          1  

   0          4

    1          7

    2         10

    3         13

The slope of y = 3x + 4 is m = 3.

The y-intercept (b) = 4.

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Liam descended 5,050.25 feet. Elevation is defined as the distance above sea level. Elevations are typically expressed in meters or feet.

The angle of elevation is formed by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation. "rise over run" is an easy-to-remember equation for calculating change in elevation as a decimal, which means the rise (the change in vertical distance) divided by the run (the change in horizontal distance).

The angle of elevation is the angle formed by the horizontal line of sight and the upward line of sight. For example, if you're standing on the ground and looking up at the peak of a mountain, you can calculate the angle of elevation.

Therefore,

Liam descended from the summit of K2 (elevation= 28,251.31 feet) to an elevation of 23,201.06 feet.

You have to find the difference between 28,251.31 feet and 23,201.06 feet.  To find the difference you have to subtract:

28251.31 - 23,201.06  = 5,050.25  feet

Hence, Liam descended 5,050.25 feet.

The complete question is:

Liam descended from the summit of K2 (elevation= 28,251.31 feet) to an elevation of 23,201.06 feet. How many feet did Liam descend? What was his change in elevation?

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The voltage of the audio speaker given the equation,  V = 4√P, is 100.

The given equation to determine the voltage is : V = 4√P

Where: P = 625 watts

The first step is to determine the square root of 625. The square root of a number is the number that is exactly half the value of the number. When the half is multiplied by itself, it yields the original number.  For example, the square root of 25 is 5. 5 multiplied by 5 is 25.

√625 = 25 watts

The next step is to multiply 25 watts by 4. Multiplication is the process that is used to determine the product of two or more numbers.

25 x 4 = 100

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Answer:

Answers below

Step-by-step explanation:

For 28 Students 300-90-(6*28) the answer is 42.

For 29 Students 300-90-(6*29) the answer is 36.

For 30 Students 300-90-(6*30) the answer is 30.

The greatest number of students that can go on the field trip for $300 is 35.

I've gotten this answer by doing 300-90-(6*35) which equals to 0.

Three consecutive integers such that the first plus 4 times the second total 210 more than the third are 52, 53, 54

Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each successive integer, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

Let the three numbers be x, x+1, x+2

As per given question,

⇒ x + 4(x + 1) + = 210 + x + 2

⇒ x + 4x + 4 = 210 + x + 2

⇒ 4x + 4 = 212

⇒ 4x = 208

⇒ x = 52

∴ The three consecutive integers will be 52, 53, 54

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x= -3, y = 1, z = 6

Explanation:

-2x + 2y + z = 14 ....equation 1

3x - 2y + z = -5 ....equation 2

-x + y - 2z = -8 ....equation 3

Note: Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

Subtract equation 2 from 1:

-2x - 3x +2y -(-2y) + z - z = 14 -(-5)

-5x + 2y + 2y + 0 = 14 + 5

-5x + 4y = 19 ....equation 4

Due to the first equation we derived where we only have x and y. We need to solve the second equation in such a way we get only x and y.

This means we find a way to eliminate z in the second subtraction.

To do this, we multiply 1 by 2. Then we add both equations to eliminate z

-4x + 4y + 2z = 28 ....equation 1

-x + y - 2z = -8 ....equation 3

Add equation 3 and 1:

-4x + (-x) + 4y + y + 2z + (-2z) = -8 + 28

-4x - x + 5y + z + 2z - 2z = 20

-5x + 5y = 20 ....equation 5

-5x + 4y = 19 ....equation 4

-5x + 5y = 20 ....equation 5

subtract equation 4 from 5 (we will be eliminating x):

-5x -(-5x) + 5y - 4y = 20 - 19

-5x + 5x + y = 1

y = 1

we substitue the value of y in any of the equation between 4 and 5:

using equation 4:

-5x + 4(1) = 19

-5x + 4 = 19

-5x = 19-4

-5x = 15

x = 15/-5

x = -3

we substute for both y and x in any of the initial equation to get z:

using equation 2:

3(-3) -2(1) +z = -5

-9 - 2 + z = -5

-11 + z = -5

z = -5 + 11

z = 6

Answer: Uhhhh there are no names for me to choose from- but it's basically any shape with straight lines and is closed. hope this helps

Step-by-step explanation:

Answer:

D and F

Step-by-step explanation:

8060 and 609 are whole numbers.

whole numbers: Whole numbers include 0 and natural numbers (1,2,3,4......). They don't include fractions, decimal and negative integers.

The average rate of speed in miles per hour is 15miles/hour.

What is the rate of speed ?

Given that, a 4.5miles distance covered in 18 min and 7.5miles in 30 min

Converting miles/min to miles/hour and calculating the average,

Then

[(4.5 miles/18min )+(7.5miles/30min)]/2

[15miles/hour + 15miles/hour]/2 = 15miles/hour

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For a fair die has four faces numbered one to four, the probability of rolling a two exactly three times in ten rolls of the die is 25.02% determined using binomial distribution.

Binomial distribution is used to determine the probability of observing a specified number of successful outcomes in a specified number of trials and is given by:

P(x:n,p) = nCx px (1-p)n-x

Where n is the number of experiments, x is a random variable, and p is the probability of success in a single experiment.

The probability of rolling a two in one trail = ¼ = 0.25

In the give case,

n = 10

x =3

p = 0.25

Therefore,

P(3) = 10C3 0.25^3 (1-0.25)^(10 – 3)

Solving 10C3 = 10!/3!(10-3)! = 120

P(3) =  120. 0.25^3 (1-0.25)^(10 – 3) = 0.2502

Hence, the probability of rolling exactly 2 three times in a ten trails is 25.02%

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Darren age is 15

and 1st sibling is x+2= 17 yrs

2rd sibling is x+4 = 19 yrs

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given that :

Darren and his two siblings' ages are three consecutive odd numbers and the sum of their ages is 51.

Let Darren age be x

and since they are odd consecutive numbers, his two siblings age will be

1st sibling age will be = x+2

2rd sibling age will be = x+4

If the sum of their ages is 51

that is,  

x+x+2+x+4= 51

solving for x:

3x+6 = 51

3x+6-6=51-6

3x = 45

3x/3 = 45/3

x = 15 yrs

Therefore, x is 15, therefore Darren age is 15

and 1st sibling is x+2= 17 yrs

2rd sibling is x+4 = 19 yrs

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The value of the fraction expression 1/2 + 3/6 is 1.

The highest number that is a factor of all the numbers is known as the greatest common factor of two or more numbers.

The smallest number (non-zero) that is a multiple of all the numbers is known as the least common multiple of two or more numbers.

Consider the expression,

1/2 + 3/6 = x

Consider the fraction 3/6,

The factors of 3 are 1 and 3.

The factors of 6 are 1, 2, 3, and 6.

Therefore, the GCF or greatest common factor is 3.

Therefore,

3/6 = ( 3 ÷ 3 ) / ( 6 ÷ 3 ) = 1/2

So, the value of the expression will be:

x = 1/2 + 3/6

x = 1/2 + 1/2

As the denominators of the fractions are equal.

x = ( 1 + 1 )/ 2

x = 2/2

x = 1

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