What is 2 times one fourth

The slope is always rise/run and has a variable. In this case, 2/3x is the slope.

The y-intercept is always the number at the end, which is the y-value. This would mean that 5 is the y-intercept.

Answer:

Step-by-step explanation:

Y = ⅔X + 5

Comparing with y = mx + c

Where m is the slope and c is the intercept

m = ⅔ and c = 5

Answer:

an equal number of students chosen at random from each grade level

In statistics, a sample is a little amount that reveals how the remainder is or should be.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

A middle school contains sixth, seventh, and eighth graders each grade level contains approximately the same number of students the principal wants to find the answer to a survey question affecting each student in the school.

An equal number of pupils from each grade level were chosen at random.

We could simply collect the information of all the pupils by randomly picking some students such that there are an equal number of students from each grade.

More about the statistics link is given below.

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Answer:

D. 4.1 inches

Step-by-step explanation:

Step-by-step explanation:est $ 6800

Samantha wants to invest $ 6800 in a saving account that pays 6% simple interest .

Let it will be take x year    

Principle =$6800

Interest = $ 6800

Rate of interest = 6%

Time = x(let)

According To Problem

6800=[tex]\frac{6800\times x\times 6}{100}[/tex]

⇔x = [tex]\frac{100}{6}[/tex] = 16.67 year

Therefore ,it will take 16.67 year .

Answer:

16.67 years.

Step-by-step explanation:

Samantha wants to invest $6800 in a savings account that pays 6% simple interest.

Let after y years the amount will be double in value.

So, using the formula of simple interest we can write

[tex]2 \times 6800 = 6800(1 + \frac{6\times y}{100})[/tex]

⇒ [tex]2 = 1 + \frac{6y}{100}[/tex]

⇒ 6y = 100

⇒ y = 16.67 years.

Therefore, after 16.67 years the amount will become double in value. (Answer)

Answer:

The answer is  [tex]9\times 10^{16}.[/tex]

Step-by-step explanation:

Given:

2 times 10 to the 16th plus 7 times 10 to the 16th in scientific notation.

Now, to solve in scientific notation.

So, we change into scientific notation:

2 times 10 to the 16th

[tex]=2\times 10^{16}[/tex]

7 times 10 to the 16th

[tex]=7\times 10^{16}[/tex]

Now, to add:

[tex]2\times 10^{16}+7\times 10^{16}[/tex]

As, we see the powers are same so we add the numbers in this standard form:

[tex]=(2+7)10^{16}[/tex]

[tex]=9\times 10^{16}.[/tex]

Therefore, the answer is [tex]9\times 10^{16}.[/tex]

Answer:

4+5x<50

Step-by-step explanation:

5n < 50 <--- subtracts 4 from both sides

n < 10 <--- divides both sides by 5

Check: testing n=0, we have 4 + 5(0) = 4 + 0 = 4 < 54, so yes it works

testing n=10, 4 + 5(10) = 4 + 50 = 54.

testing n=11, 4 + 5(11) = 4 + 55 = 59 <--- fails as expected.

X < 10, proven, verified, correct

The inequality 'Four more than 5 times the number x is less than 50' translates to '5x + 4 < 50'. By solving, we find the solution is 'x < 9.2', indicating that x must be less than 9.2.

The question "Four more than 5 times the number x is less than 50" can be translated into a mathematical inequality. The 'four more than' suggests addition, and '5 times the number x' indicates multiplication.

Therefore, we have the inequality 5x + 4 < 50. To find the range of values for x, we need to solve the inequality for x.

Step 1: Subtract 4 from both sides to isolate the term with x on one side of the inequality. 5x < 46.

Step 2: Divide both sides by 5 to solve for x. x < 9.2.

So, the solution to the inequality is that x must be less than 9.2. This inequality does not require the quadratic formula as suggested in some parts of the provided information.

The assumption that 'The value of x is not less than 5% of 0.50' is also not relevant to solving this particular inequality.

To simplify, remove the parentheses and combine like terms:

( y + 22) + 3

Y + 22 + 3

Answer: Y + 25

Answer:

The jar has 32 dimes and 18 quarters

Step-by-step explanation:

To solve this problem we can create a system of linear equations in terms of two-variables (say [tex]x[/tex] and [tex]y[/tex]) and solve it. To begin let us analyze the problem further. We know that the values of each coin type are:

Dimes ( [tex]x[/tex] )     = $0.10

Quarters( [tex]y[/tex] )  = $0.25

Total Value   = $7.70

Total Coins   = 50

Now let us set up our system of equations as:

[tex]0.10x+0.25y=7.70[/tex]      Eqn.(1)

[tex]x+y=50[/tex]                     Eqn.(2)

Lets take Eqn.(2) and rerrange it to solve for [tex]x[/tex] as:

[tex]x=50-y[/tex]                     Eqn.(3)

Now lets plug this, in Eqn.(1) so we get the value of [tex]y[/tex] as:

[tex]0.10(50-y)+0.25y=7.70\\\\5-0.10y+0.25y=7.70\\\\-0.10y+0.25y=7.70-5\\\\0.15y=2.7\\\\[/tex]

[tex]y=\frac{2.70}{0.15} \\\\y=18[/tex]

Plugging in [tex]y=18[/tex] back in Eqn.(3) we finally have:

[tex]x=50-18\\x=32[/tex]

Thus we conclude that in the jar the coins are:

Dimes ( [tex]x[/tex] ) [tex]=32[/tex]

Quarters( [tex]y[/tex] ) [tex]=18[/tex]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

(c) gross wage : 584 + 551.15 = 1135.15 <==

================================

3. basic work wk: 40 hrs...earned 518...overtime 148

(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==

(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==

The gross wage of the man who worked overtime from Monday to Friday, on Saturday, and on Sunday is $582.40.

In order to determine the gross wage of the man, we need to calculate the wages for each type of overtime worked. Let's start with the basic wage calculation for each scenario:

The man worked 15 hours overtime on week-days, so he will receive 15 x 8.96 = $134.40 for week-day overtime.

He also worked 3 hours overtime on Saturday, so he will receive 3 x (2 x 8.96) = $53.76 for Saturday overtime.

Lastly, he worked 2 hours overtime on Sunday, so he will receive 2 x (3 x 8.96) = $53.76 for Sunday overtime.

Now let's calculate the gross wage by adding the basic wage and the overtime wages together:

Gross Wage = Basic Wage + Week-day Overtime Wage + Saturday Overtime Wage + Sunday Overtime Wage

= (38 x 8.96) + 134.40 + 53.76 + 53.76

= $340.48 + $134.40 + $53.76 + $53.76

= $582.40

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Answer:

13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

44+4=48

48/3=16

Answer:2.0994

Step-by-step explanation:

You would want to set up the equation like this

120°×π/180 which will then be 2.094rad

120 degrees is equal to 2π/3 radians. You can convert degrees to radians by using the conversion factor π/180. This method simplifies to 2π/3 for 120 degrees.

Converting Degrees to Radians

To convert an angle from degrees to radians, you can use the conversion factor that 360° is equal to 2π radians. Therefore, 1 degree is equal to π/180 radians. To convert 120 degrees to radians, you can follow these steps:

Therefore, 120 degrees is equal to 2π/3 radians. This method ensures accurate conversion and is useful in various mathematical calculations.

Volume of a rectangular prism is V = L x W x H

The length for the small prism is 6

The width for the small prism is 4

The height for the small prism is 3

So 6 x 4 x 3 = 72

The length for the large prism is 16

The width for the large prism is 9

The height for the large prism is 2

So 16 x 9 x 2 = 288

Now you add the two volumes together: 288 + 72 = 360 ft cubed.

[tex]\frac{5x-20}{14x^{2}-7x }[/tex]

There are a couple different dates that people say WW2 started but the main start of the war was when the Nazi’s invaded Poland September 1, 1939

Answer:

4 hours.

Step-by-step explanation:

If Robbie earns 12 dollars per hour, it will take him 4 hours to earn 48 dollars. This is because 48/12 = 4.

48/12=hours

12+12+12+12=hours

4 hours

The solution is (-4,4)

Step-by-step explanation:

Given equations are:

[tex]4x-9y = 20\ \ \ \ Eqn1\\2x-6x = 16\ \ \ \ Eqn2[/tex]

In linear combination method, we have to make coefficients of any one variable opposites by multiplying with an integer

So multiplying 2nd equation by -2

[tex]-2(2x-6y=16)\\-4x+6y=-32\ \ \ \ Eqn3[/tex]

Adding Equation 1 and Equation 3:

[tex]4x-9y-4x+12y = 20-32\\3y = -12[/tex]

Dividing both sides by 3

[tex]\frac{3y}{3} = \frac{-12}{3}\\y = -4[/tex]

Putting y=-4 in equation 1

[tex]4x-9(-4) = 20\\4x +36= 20\\4x = 20-36\\4x = -16[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{-16}{4}\\x = -4[/tex]

Hence,

The solution is (-4,4)

Keywords: Linear combination, linear equations

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Answer:

51.06

Step-by-step explanation:

So

P=$925

R=2.3%

T=2.4

So to get the answer we would need to multiply all of these together so first we would do 925 times 2.3% which would be 21.275. Then we would do 21.275 times 2.4 then we would get the answer of 51.06.

Sarah bought 4 first class tickets and 4 coach tickets for a total of 8 tickets, using her entire budget of $5080.

Sarah purchased tickets for a total of 8 people with a mix of coach and first class tickets. The cost for coach tickets was $290 each, and the cost for first class tickets was $980 each. With a total airfare budget of $5080, we need to determine how many of each type of ticket she bought.

Let's denote the number of first class tickets as x and the number of coach tickets as y. The two equations representing the situation are:

From the first equation, we can express y in terms of x: y = 8 - x. Substituting this into the second equation gives us:

980x + 290(8 - x) = 5080

Solving for x will give us the number of first class tickets, and using the value of x, we can find y, the number of coach tickets. After simplifying and solving, we find that:

980x + 2320 - 290x = 5080

690x = 2760

x = 4

Thus, Sarah bought 4 first class tickets. To find the number of coach tickets (y), we substitute x into the first equation:

y = 8 - 4

y = 4

Therefore, Sarah also bought 4 coach tickets.

Answer:

b

Step-by-step explanation:

Answer:

The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.

Answer:

His Age is 4 years old

Step-by-step explanation:

His brother is 7

Answer: 4

Step-by-step explanation:

If Tyler is 4 years old then his brother would be 7 and 7+4=11

Answer:

x=0 or x=6/10

Step-by-step explanation:

10x^2=6x ⇔ 10x^2 - 6x = 0 ⇔ x(10x-6)=0 ⇔ x=0 or x= 6/10

Answer:

3 rows of roses and 9 daffodils each row. (3x9=27)

4 rows of roses, 9 in each row.

(4x9=36)

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 roses in the 3 rows. 9 goes into 27, 3 equal times.

The two numbers are 15 and 6

Solution:

Let the two number be "a" and "b"

Let the first number be "a" and second number be "b"

Given that,

The difference between two numbers is 9

a - b = 9 -------- eqn 1

The first number plus twice the other number is 27

First number + twice the second number = 27

a + 2b = 27 ---------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

a = 9 + b ------ eqn 3

Substitute eqn 3 in eqn 2

9 + b + 2b = 27

3b = 27 - 9

3b = 18

Divide both sides of equation by 3

Substitute b = 6 in eqn 3

a = 9 + 6

Thus the two numbers are 15 and 6

Answer:

It could be -111 and -173

Step-by-step explanation:

-111 is 62 more than -173 and together they are -284.

Answer:  38.46

Step-by-step explanation:

400/10.4= 38.46

Greater than bc the pieces is bigger