I haven’t came across one of these questions so not sure how to solve

Answer:

Step-by-step explanation:

40.833 recurring and 9.166 recurring

or 40 5/6 and 9 1/6

Call the small number 's'

Call the big number 'b'

The word problem says:

B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B

So, 5S-5=B=50-S

Therefore 6S=55 and the rest history!

Answer:

Step-by-step explanation:

Answer: Rs. 360

Step-by-step explanation:

let x of 12 1/2%=45

=> x.25/200=45

=> x/8=45

=> x=45.8

=> x=360

it is Rs 360

Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.

Given that,

Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls

It can be written as,

C(x) = 30.50 - 0.15x

C(x) = 30.50-(0.15 x 15)

after Lena uses it for 15 minutes,

C(x) = 30.50 – 2.25 = $28.25 in remaining credits.

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Answer:

A 20% B. 45%

Step-by-step explanation:

A 40,000/200000=.2 0r 20%

b. 90,000/200000=.45 or 45%

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

In this question, we have been given a function y = k/d³

We need determine whether function is power function or not.

We know that, a power function is of the form y = x ^n where n is any real number.

We can write given function as,

y = k × d^(-3)

Given that, k represents a constant.

Here, the value of y depends on the value of d.

So, d is an independent variable and y is dependent variable.

also, the power of given function is -3

Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

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Answer:

$32,000

Step-by-step explanation:

Graph C has a function

Since the line L intersects the graph at the point, A (2, -5)

To find the slope of the line we will differentiate the f(x) and substitute x by 2

The slope of the line is 8, substitute it in the form of the linear equation

To find b substitute x by 2 and y by -5

Subtract 16 from both sides to find b

Then the equation of the line is

Answer:

7 units

Step-by-step explanation:

Hello!

The radius of a circle is the distance from the center of the circle to it's outer edge.

The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.

Answer:

7 units

Step-by-step explanation:

count from the center to the circle to one of the sides which is 7 units

Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

circle formula:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given:

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

put into circle formal format:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]

The center of the circle is at point (h,k)

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

center should be at:  (1,-3)

Answer:

lower row, left grid.

Answer:

Lower left, bottm, circle

Step-by-step explanation:

See attached graph

Answer:

5.5 inches

Step-by-step explanation: if you divide it, u will get 5.5 inches

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

Step-by-step explanation:

Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.

Answer:

To find the slope, use the formula Rise over Run.

1.) Insert the Y coordinates into their correct space.

2.) Plug in the X coordinates.

3.) Subtract your Y coordinates.

4.) Subtract your X coordinates.

5.) Reduce if needed.

6.) You're done!

We can see the next function:

And we need to translate this function 5 units down, which results in the function g(x).

To find the rule for g(x), we can follow the next steps:

1. We know that the general rule for a function translated k units down is given by:

2. Then if we translate the original function by 5 units down, we will have that:

3. Therefore, g(x) will be:

Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).

SOLUTION:

Questions involving arrangement is permutation, while questions involving selection is combination.

Since the given question involves arrangement, so the correct option is PERMUTATION.

The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.

A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).

y= 3 / 10x + 8

y=mx+b, where

y=mx+b

y=3/ 10x+8

m=3/10  b=8

Slope: 3/ 10, and the y-intercept is at (0, 8).

x           y

0         8

10        11.

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Answer:

128

Step-by-step explanation:

solve for inside parentheses:

-22x21÷4-12

do multiplication and division:

-115.5-12

subtract:

-127.5

Hope this helps

The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model.

Using an online multiple regression calculator, the estimated multiple linear regression equation that can be used to forecast the annual income using the number of school years completed (Education), length of tenure in the current employment, and age is as follows:

y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3

According to the general form of a multiple linear regression model:

-143481.1924 = intercept(c) ; where regression line crosses the origin

10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3

y = predicted variable

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If we draw a vertical line and it crosses the figure more than once, then it is not a function.

So, the only graph that a vertical line will intersect the line once is graph A:

B, C and D are intersected more than 1 time, so they are not functions.

Answer: A

In linear equation, $9.25, you can bowl a maximum of 3 games.  

What in mathematics is a linear equation?

If  it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as

                         C = 2.50 + 2.50x

If you have a total of $9.25, then

                        9.25 = 2.50 + 2.25x

Subtracting 2.50 from both sides of the equation, we get

               9.25 - 2.50 = 2.50 + 2.25x - 2.25

                     6.75 = 2.25x

Dividing both sides of the equation by 2.25, we get

                   6.75/2.25 = 2.25x/2.25

                          x =  3

Therefore, with $9.25, you can bowl a maximum of 3 games.      

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Using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.

So, the piece of wood which will have the least amount of unused wood:

3.31 is more than 3 and less than 4.

So, wooden pieces of 4 feet will have the least unused wood.

Therefore, using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.

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Answer:

y = 54

Step-by-step explanation:

a) Multiply both sides by 9/(-7).

(9/-7) * (-7/9 y) = (9/-7) * (-42)

y = 54

We will see that the linear equation that passes through the two given points is:

y = 4x + 28

So the y-intercept is y = 28.

First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

m = (y₂ - y₁)/(x₂ - x₁)

Here our line passes through (-8,-5) and (10, 67), then the slope is:

m = (67 + 5)/(10 + 8) = 4

So we can write:

y = 4*x + b

To find the value of b we can use the point (-8,-5), replacing these values we get:

-5 = 4*-8 + b

-4 + 4*8 = b

28 = b

So the y-intercept is 28.

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The equation to find the cost of the shirt is s = 5h and the cost is 30.

An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario

Cost of the hat = 6

The shirt costs 5 times as much as the hat. Therefore, this will be:

s = 5h

where s = cost of shirt

h = cost of hat

The cost will be:

s = 5h

s = 5 × 6

s = 30.

The cost is 30.

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Answer:

11

Step-by-step explanation:

You will just add 6+5=11

Answer 3(6 + x) = -18 is 3

-18 = 3(6 + x)

-18 = 18 + 3x

3x = 18 - 18

x = 0 + 3

x = 3

____________________

Class: High School

Lesson: Equation

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Slope - 2/3

y - intercept : (0,3)

               x | y

               0 | 3

               3 | 1

The monthly payment that Jenna pays for the new car is $1279.411 .

What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t

Given, total cost of the car = $29,000
Percentage of amount paid while in down payment = 10%
Therefore, amount paid as down payment = (10/100)*29000 = $2900
Now, amount put on loan by Jenna = A = 29000 - 2900 = $26,100
Also, number of years for which amount is loaned = n = 4 years
Annual Percentage Rate of the loan allowed = R = 4.5
Following the formula established in the literature above, we have:
26100 = P (1 + (4.5/4))⁴ ⇒ P = 26100/(1 + (4.5/4))⁴ ⇒ P = 26100/20.4
= 1279.411
The monthly payment that Jenna pays for the new car is $1279.411

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