Solve the problem. six times Tim’s age is 54. His sisters age times three is also 54. How old are Tim an his sister Amy?

Answer:

Pat a) The graph in the attached figure

Part b)  [tex]y=(4/3)x-5[/tex]

The slope is  [tex]m=(4/3)[/tex]

The y-coordinate of the y-intercept is  [tex]b=-5[/tex]

Step-by-step explanation:

Part a) Which line represents the linear equation [tex]-3y=15-4x[/tex]?

To graph the linear equation find the intercepts

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]-3y=15-4(0)[/tex]

[tex]-3y=15[/tex]

[tex]y=-5[/tex]

The y-intercept is the point [tex](0,-5)[/tex]

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]-3(0)=15-4x[/tex]

[tex]4x=15[/tex]

[tex]x=15/4=3.75[/tex]

The x-intercept is the point [tex](3.75,0)[/tex]

Plot the intercepts to graph the linear equation

see the attached figure

Part b) Rewritten in slope-intercept form

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

we have

[tex]-3y=15-4x[/tex]

convert to slope intercept form

isolate the variable y

[tex]3y=4x-15[/tex]

[tex]y=(4/3)x-5[/tex]

The slope is  [tex]m=(4/3)[/tex]

The y-coordinate of the y-intercept is  [tex]b=-5[/tex]

hopefully the photo helps

Answer:

(D) [tex]8.46\cdot 3.51^x[/tex]

Step-by-step explanation:

One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.  

Answer:

[tex]\text{D. }y = 8.46(3.51)^{x}[/tex]

Step-by-step explanation:

The quickest way is probably to do some direct substitution.

First, let's try f(0).

The values of y predicted by the four equations are, respectively, 3.14, 5.32. 10.84, and 8.46.

It looks like C and D are the closest to the observed data.

Now, let's try f(4) on C and D.

C: 10.84(1.77)⁴ = 10.84 × 9.815 = 106.4

D:  8.46(3.51)⁴ =    8.46 × 151.4 = 1284

The best curve is [tex]y = 8.46(3.51)^{x}.[/tex]

Sorry, but there is no table to the right. Please put the table.

You set them equal to each other since they are proprtional

So 12-x=x

Add x on both sides

12=2x

Divide by 2 on both sides

6=X

Answer:  x = 4

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion:

[tex]\dfrac{16}{12-x}=\dfrac{8}{x}\\\\\\\text{Cross Multiply and solve for x:}\\16(x)=8(12-x)\\16x=96-8x\\24x=96\\\boxed{x=4}[/tex]

Answer:600

Step-by-step explanation: all u have to do is 30* 15+5= 600 just like L*W

Answer:

75

Step-by-step explanation:

how i got my answer because if you add all of the number 10+15+15+30+5 your answer will simply be 75 hope for the best and hope for brainlist

The decimal 0.02777777777 can be expressed as the fraction [tex]\( \frac{1}{36} \)[/tex] (Option C).

1. Let's denote the repeating decimal as [tex]\( x \)[/tex]:

  [tex]\( x = 0.02777777777 \)[/tex]

2. Multiply both sides of the equation by 100 to shift the decimal two places to the right:

  [tex]\( 100x = 2.7777777777 \)[/tex]

3. Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part:

  [tex]\( 100x - x = 2.7777777777 - 0.02777777777 \)[/tex]

  [tex]\( 99x = 2.75 \)[/tex]

4. Solve for [tex]\( x \)[/tex]:

  [tex]\( x = \frac{2.75}{99} \)[/tex]

5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 0.25):

  [tex]\( x = \frac{11}{4 \times 9} \)[/tex]

  [tex]\( x = \frac{11}{36} \)[/tex]

Therefore, the decimal 0.02777777777 can be expressed as the fraction [tex]\( \frac{1}{36} \)[/tex].

Anaya’s Team won 20 games

Anaya's team won 5 out of every 7 games. Using the proportion principle, we find that the team won 20 out of 28 games in the season.

Anaya's team won 5 of every 7 games played. This means, for every 7 games, they won 5 games, which is their win ratio. To find out how many games they won out of the 28 games played in the season, we can set up a proportion and solve it.

Step 1: Setup the proportion: 5/7 = x/28, where x is the number of games won.

Step 2: Solve the proportion for x. Cross-multiply and divide: (5*28)/7 which gives us 20.

So, Anaya's team won 20 games during the season out of the 28 games they played.

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The radius of the bell's edge is 3 yards.

To find the radius of the bell, we can use the formula for the circumference of a circle: C = 2πr, where r is the radius. Given that the circumference is 18.84 yards, we can solve for r. Rearranging the formula, we have r = C / 2π. Plugging in the values, we get r = 18.84 / (2 * 3.14) = 3 yards.

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Answer:

at t=4, the particle is at x = 20

Step-by-step explanation:

This question revolves around velocity and displacement of a particle moving in a straight line (along the x-axis). At t = 0 the particle is at x = 0. The velocity of the particle as function of time is given as;

v(t) = 5

The velocity is thus constant, implying further that the particle has 0 acceleration.

To find the position of the particle at t = 4, we employ integral calculus since displacement is an integral of velocity while velocity is a derivative of displacement.

In short, we shall be integrating the velocity function between t =0 and t = 4 to find its location at t = 4.

[tex]\int\limits^4_0 {5} \, dt[/tex]

The integral of 5 with respect to t is 5t + c but we ignore the constant of integration since we are dealing with a definite integral;

5t

The final step is to substitute t with the limits given;

5(4) - 5(0) = 20

The particle was moving along the x-axis, so its new position would be;

x = 20

A particle moving with constant velocity v(t) = 5m/s on the x-axis starts from x = 0. At t = 4 seconds, using the equation of motion (x = xo + vt), we calculate the particle's position to be x = 20m.

The physics question asked here pertains to motion along a line, known as 1-Dimensional Kinematics. Specifically, we are considering a particle moving with a constant velocity, given by v(t) =5 for any time t greater than, or less than 0.

To find the position of the particle at a given time, we can use one of the basic equations of motion:

x = xo + vt.

As per the problem, the particle starts from position x = 0 at time t = 0, so xo = 0. The velocity, v, is a constant 5m/s.  We can use the provided time, t = 4 seconds, and substitute these values in the equation to get:

x = 0 + 5*4.

Therefore, at t = 4 seconds, the particle is at position x = 20m along the x-axis.

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Answer:

5 dozen hot dogs

Step-by-step explanation:

Erica started with 80 dozen hot dogs.

At the end of the day on Wed, she had 75 dozen hot dogs (from the graph)

To determine what she sold, take what she started with and subtract what she ended with

80-75 = 5

She sold 5 dozen hot dogs

Answer: .25 inches

Step-by-step explanation: In order to calculate the size of each part you need to divide 12 by 48. 12 inches / 48 = .25. Each part is .25 inches.

Answer:

the correct answer is 0.38, I used the other persons answer and got it wrong.

Step-by-step explanation:

Answer:

240 degrees.

Step-by-step explanation:

The minute hand passes through  60 minutes ( = 360 degrees) in 1 hour.

In 2/3 hours it passes through 2/3 * 360 =  240 degrees.

The number of degrees moved by the minute hand of a clock in a given amount of time is 240 degrees.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the minute hand of a clock in the given amount of time of 2/3 hour.

The minute hand passes through 60 minutes Or 360 degrees in 1 hour.

In 2/3 hours, it passes through;

2/3 x 360 =  240 degrees.

Therefore, the number of degrees moved by the minute hand of a clock in a given amount of time is 240 degrees.

Learn more about multiplications;

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it Might be D. Soil B had greater growth because its data have a greater median.

Answer:

Step-by-step explanation:

Given is a table about plants growth in soil A and B.

Let us find mean and median.

Soil A

Mean: 4.17

Median: 3.9

Mode: 3.5

Minimum: 3.1

Maximum: 6

Range: 2.9

Count: 10

Sum: 41.7

Soil B

Mean: 4.28

Median: 4.25

Mode: 3.9

Minimum: 2.9

Maximum: 5.5

Range: 2.6

Count: 10

Sum: 42.8

Soil B shows a better growth since both mean and median are greater.

Answer:

$2.50n + $24 (6x4) = e

Step-by-step explanation:

$6x4 = $24

$2.50n + $24 (6x4) = e

I hope this helps you on your test :)

The function that models the total earnings will be E = 2.50n + 24.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given,

Sam earns $2.50 per person as a tip.

For n number of people the earnings through tip = $2.50n

The earning per hour = $6

For 4 hours the earning = $6 x 4 = $24

Total earning E = 2.50n + 24

Hence "E = 2.50n + 24 will be the model for the total earnings".

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Answer:

it increase and by 16.7

Step-by-step explanation:

Answer:

The answer is 4/3

Step-by-step explanation:

To get the answer, first give the two fractions common denominators.

1/2 + 5/6

3/6 + 5/6 = 8/6

Now simplify the fraction by division both numbers by 2

8/6 = 4/3

The answer is 1 1/3

Answer:

AD

Step-by-step explanation:

Looking at triangles ABD and ACD, they appear to be congruent. This means they have corresponding or matching parts which are equal and form each triangle.

The segment AD is the longest segment of triangle ABD. It matches to the longest segment in ACD. This is the same segment AD since the triangles share a side between them.

Answer:

AD <--> AD

Step-by-step explanation:

Hello! Segment AD is corresponding to itself, as it is the longest segment in ABD; it would correspond to itself due to a triangle being erected between them.  Hope this helps!

fog functions are basically saying f(g(x)).

So (f o g)(x) = f(g(x)).

This is also true for gof functions.

(g o f)(x) = g(f(x)).

All we do for these problems is plug in g(x) into the x value in the f(x) equation.

where are the statement

The expression (15x(8+45)) simplifies to (795x). Therefore, its value is (795x). What is the value of (795x)?

let's break down the expression step by step:

Given expression: (15x(8+45))

Step 1: Perform the operation inside the parentheses.

[8 + 45 = 53]

Step 2: Multiply the result from step 1 by 15x.

[tex]\[15x \times 53 = 795x\][/tex]

So, the value of the expression [tex]\(15x(8+45)\) is \(795x\)[/tex].

complete question:

What is the value of the expression [tex]\(15x(8+45)\)[/tex]?

Answer:

11 (if you wanna know how many cups [which i mean by 2/3] it is 1)

Step-by-step explanation:

Well, to start, a cook has 11 7/8 cups of flour, right? Well, if you subtract 11 7/8 by 2/3 you get 11 5/24. As an estimate, you would get just plain 11 because there is three numbers when you estimate, 11, 11 1/2, or 12. 11 5/24 is more closer to 11 (because 1/2 would be 11 12/24, and 12 would be 11 13/24 or more until 12)

Hope it helped...

namely, how many cups is it 2/3 cups of  11⅞ cups?

let's firstly convert the mixed fraction to improper fraction, bearing in mind that two thirds of that much is simply their product.

[tex]\bf \stackrel{mixed}{11\frac{7}{8}}\implies \cfrac{11\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{95}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{95}{8}\cdot \cfrac{2}{3}\implies \cfrac{95}{3}\cdot \cfrac{2}{8}\implies \cfrac{95}{3}\cdot \cfrac{1}{4}\implies \cfrac{95}{12}\implies 7\frac{11}{12}[/tex]

Answer:

[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]

Step-by-step explanation:

we know that

step 1

Find the inequality of the solid line x+3y=6

The solution is the shaded area below the solid line

therefore

The equation of the inequality is

[tex]x+3y\leq 6[/tex]

step 2

Find the inequality of the solid line y=3x-1

The solution is the shaded area above the solid line

therefore

The equation of the inequality is

[tex]y\geq 3x-1[/tex]

therefore

The system of linear inequalities is

[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]

The correct system of linear inequalities represented by the graph is 'y ≥ 3x – 1; x + 3y ≤ 6'. This means all points that lie on and above the line y = 3x - 1 and also on or below the line x + 3y = 6 are solutions.

Looking at the given options and their corresponding inequalities, it’s evident that the graph must represent an area where y is greater or equal to 3x-1, and also, x + 3y is less than or equal to 6.

Therefore, the correct system of linear inequalities whose solution represents the graph should be:

y ≥ 3x – 1; x + 3y ≤ 6

This suggests that all points that lie on the line y = 3x - 1 and above it and all points that are on the line x + 3y = 6 and below it, make both inequalities true at the same time.

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Answer:

◻️B. The value of the mode is the least value of the data.

Step-by-step explanation:

The mode is the data value that appears most often

5,7,9,5,18,6,8,5

Arranging the data from smallest to largest

5,5,5,6,7,8,9,18

The number that appears most often is 5

This is the smallest value of the data

Answer:

B

Step-by-step explanation:

D is not the answer. The two binomials are added. That won't work.

C and A are not the answer C has a common factor in the first binomial

A has a 3 that is common in the second binomial.

B is completely factored. B is the answer.

Answer:

Have a great rest of your day :)

Step-by-step explanation:

I think the correct answer is C. because each if forming a right triangle when you trace it.

If i'm correct brainliest please

Answer:

C. x²

Step-by-step explanation:

With fractions, you can subtract the exponents, therefore the answer is x²

Answer:

C. [tex]x^2[/tex]

Step-by-step explanation:

We want to simplify;

[tex]\frac{x^3}{x}[/tex]

We can rewrite this as

[tex]\frac{x^2\times x}{x}[/tex]

We cancel out the common factors to get;

[tex]\frac{x^2\times1}{1}[/tex]

This simplifies to;

[tex]x^2[/tex]

The correct choice is C.

Final answer:

To use order numbers in different forms, you convert between fractions, decimals, and percents. For example, to convert from percent to decimal, you divide by 100; to convert from decimal to percent, you multiply by 100.

Explanation:

You can use order numbers that are written as fractions, decimals, and percents for various mathematical and real-life applications. They are different ways to represent the same value, and you can convert between them. For example, to convert a percent to a decimal, you write the value of the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. Similarly, to convert a decimal to a percent, you write the decimal as a fraction. If the denominator of the fraction is not 100, convert it to a fraction with a denominator of 100, then write the fraction as a percent.

Example of Converting Percents

To convert 75% to a decimal, write it as 75/100, which simplifies to 0.75. Conversely, to convert 0.75 to a percent, you multiply by 100 to get 75%.

ANSWER

[tex] \sqrt{13} = 3.606[/tex]

to the nearest thousandth.

EXPLANATION

The given irrational number is

[tex] \sqrt{13} [/tex]

We use the calculator to evaluate this to obtain,

[tex] \sqrt{13} = 3.605551...[/tex]

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

[tex] \sqrt{13} = 3.606[/tex]

A Dime is worth 2 nickels which equals 10.

let no of dimes be x

let no of nickles be y

so as per the data mentioned in the question , x=2*y-10

total amount = $2.75 

so total amount should comprise of nickels and dimes

x*dimes + y*nickels = $2.75

x*( 2 nickels)+ y *nickels = $2.75

=> nickles( 2x+y) = $ 2.75

but 20 nickels = 1 dollar

nickles(2x+y) = 2.75*20 nickels

cancelling nickles on both sides

2x+y = 55

already we know that x= 2y-10 

so 2(2y-10) +y= 55

4y-20+y=55

5y -20 =55

So, your answer is 55.

Answer:  15 nickels and 20 dimes

Step-by-step explanation:

Nickels (N) = N and each is worth $0.05

Dimes (D) = 2N - 10 and each is worth $0.10

0.05N + 0.10D = 2.75

0.05N + 0.10(2N - 10) = 2.75

0.05N + 0.20N - 1.00 = 2.75

             0.25N - 1.00 = 2.75

             0.25N           = 3.75

                    N          =   15

D = 2N - 10

   = 2(15) - 10

   =  30  - 10

   =     20

Check:

0.05(55) + 0.10(20) = 2.75

   0.75    +     2.00   = 2.75

            2.75           = 2.75 [tex]\checkmark[/tex]