A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t-shirts in the store, given that f(0) = 100?

Answers

Answer 1

The correct recursive function is: [tex]\[ f(n) = f(n-1) \times (1 - 0.30) + 25 \][/tex]

Let's break down the problem:

At the start, there are 100 t-shirts in the store (f(0) = 100).

Each month, 30% of the current stock is sold, and 25 new t-shirts arrive.

So, if we denote the number of t-shirts in the store at the beginning of the nth month as f(n), we can represent the recursive relationship as follows:

f(n) = f(n-1) * (1 - 0.30) + 25

This equation means that the number of t-shirts in the store at the beginning of the nth month is equal to 70% of the number of t-shirts at the beginning of the previous month (because 30% were sold), plus 25 (because 25 new t-shirts arrive).

In this function:

- [tex]\( f(n) \)[/tex] represents the number of t-shirts in the store at the beginning of the nth month.

- [tex]\( f(n-1) \)[/tex] represents the number of t-shirts in the store at the beginning of the (n-1)th month.

- [tex]\( (1 - 0.30) \)[/tex] represents 70% of the t-shirts from the previous month remaining after 30% are sold.

- [tex]\( + 25 \)[/tex] represents the 25 new t-shirts that arrive each month.

Complete question: A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t- shirts in the store, given that f(0)=100?

a-f(n)=f(n-1) 0.3+25,n>0

b-f(n)=100-f(n-1) = ( 3.3+25 n>0

c-f(n)=f(n-1) -( 0.7+25 n>0

d-f(n)=100-f(n-1) - C 7+25 n>0


Related Questions

Which of the following statements justifies why the triangle shown below is
not a right triangle?

Answers

Answer:

A) 6^2 + 11^2 is not equal to 15^2

Step-by-step explanation:

To find out if a right triangle is a right triangle you have to use the Pythagorean Theorem, like it is used in A.

6^2 + 11^2 = 15^2

36 + 121 = 225

157 does not equal 225

So this is not a right triangle

Answer:

Option A

Step-by-step explanation:

Given in the picture is a triangle ABC with three sides given as 6,11 and 15

By the picture itself we can say that the largest angle is obtuse and hence the triangle is not right angled.

Using the converse of Pythagorean theorem that in a right triangle sides square add upto square of hypotenuse let us check whether this applies to this triangle.

Small sides are 6 and 11

Squaring and adding gives

[tex]6^2+11^2 = 187[/tex]

Large side = 11 and square is

[tex]15^2 =225 > 121[/tex]

Hence this is not a right triangle but obtuse

So option A is right

A rectangular prism has a length of 5 meters, a width of 6 meters, and a height of 3 meters.
What is the volume of the prism?
Enter your answer in the box.

Answers

Answer:

V=90m³

Step-by-step explanation:

If a rectangular prism has a length of 5 meters, a width of 6 meters, and a height of 3 meters, the volume of the prism is 90m³.

Formula: V=whl

V=whl=6·3·5=90m³

solve 5n-7p+3n=25p for n

Answers

Answer:

n=4p

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I need help please.

Answers

Answer:

[tex]\frac{7\sqrt{5} }{8}[/tex]

Step-by-step explanation:

Using the rules of radicals

[tex]\sqrt{\frac{a}{b} }[/tex] = [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{\frac{245}{64} }[/tex] = [tex]\frac{\sqrt{245} }{\sqrt{64} }[/tex]

Simplifying the radicals

[tex]\sqrt{245}[/tex]

= [tex]\sqrt{5(7)(7)}[/tex]

= [tex]\sqrt{49(5)}[/tex]

= [tex]\sqrt{49}[/tex] × [tex]\sqrt{5}[/tex] = 7[tex]\sqrt{5}[/tex]

and

[tex]\sqrt{64}[/tex] = 8

The simplified radical is

[tex]\frac{7\sqrt{5} }{8}[/tex]

You buy some living room furniture. The coffee table costs $189.99, the loveseat costs $249.95, the sofa costs $493.68, and 2 chairs cost $98.75 each. Sales tax is 7.25%. How much is your total purchase? $1,032.37 $1,213.13 $1,107.22 $1,131.12

Answers

Add the totals of each item together:

189.99 + 249.95 + 493.68 + 98.75 + 98.75 = 1,131.12

Now multiply that by the tax rate as a decimal:

1131.12 x 0.0725 = 82.01

Now add that to the total of the items:

1,131.12 + 82.01 = $1,213.13 total

For this case we have that the total of the purchase is given by:

Coffee table: $ 189.99

Loveseat: $ 249.95

Sofa: $ 493.68

2 chairs: 2 * $ 98.75 = $ 197.5

Adding up we have: $ 1131.12

Now, we must find the tax amount:

$ 1131.12 ----------> 100%

x ------------------------> 7.25%

Where "x" represents the value of the tax:

[tex]x = \frac {7.25 * 1131.12} {100}\\x = 82.0062[/tex]

Finally, the amount to be paid is:

$ 1131.12 + $ 82.0062 = $ 1213.13

Answer:

Option B

Given h(x) = |x+3| -5


•Identify the parent function f

•Describe the sequence of transformation from f to h

Answers

Answer:

The parent function f(x) is equal to [tex]f\left(x\right)=\left|x\right|[/tex]

The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

[tex]h\left(x\right)=\left|x+3\right|-5[/tex]

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

[tex]f\left(x\right)=\left|x\right|[/tex]

The vertex of the function f(x) is the point (0,0)

so

The rule of the transformation of f(x) to h(x) is equal to

(x,y) -----> (x-3,y-5)

That means ----> The translations is 3 units to the left and 5 units down

HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

X is left to right. Since the translation is X + 1 , you are adding 1 to the X direction, which moves the shape 1 place to the right.

Y is up and down, the translation is y - 2, which means the shape moves 2 places down.

Looking at one point on the original image, lets use Point C. It is located at X = 2 and Y = 1. Now add 1 to the X and subtract 2 from the y:

The new location for C needs to be X = 2+1 = 3 and Y = 1-2 = -1

The image that has C at (3,-1) is C.

Find the slope of the line that contains the points(6,-3) and (6, 5) or is it undefined

Answers

Answer:

Yes, it's undefined.

The slope is undefined.

Step-by-step explanation:

Slope formula:

[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle \frac{5-(-3)}{6-6}=\frac{8}{0}=0[/tex]

Therefore, the slope is undefined.

Hope this helps!

Answer:

undefined

Step-by-step explanation:

To find the slope of a line, we use the equation

m = (y2-y1)/(x2-x1)

    = (5--3)/(6-6)

   = (5+3)/(6-6)

  =8/0

 Anything divided by 0 is undefined, so the slope is undefined



The table below shows values for x and y. If y varies directly as x, what is the constant of variation?
x y
0 0
1 -9
2 -18
3 -27




-9

0

3

9

Answers

Answer:

k = - 9

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use any ordered pair from the given table of values

Using x = 1, y = - 9, then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-9}{1}[/tex] = - 9

Answer:

-9.

Step-by-step explanation:

y varies directly as x so y = kx where k is the constant of variation.

Inserting the values of x and y.

0 = k*0

-9 = k*1 so k = -9

-18 = 2*k so k = -9

-27 = 3 *k so k = -9.

Study the following data set.
{8,15,9,18,9,17,22,10,11,9,13}
What is the interquartile range of the data set?

Enter your answer as a number, like this: 42

Answers

Answer:

8

Step-by-step explanation:

The question is on interquartile range which is the median of the upper half of the data minus the median of the lower half of data

First arrange the data in an increasing order;

8,15,9,18,9,17,22,10,11,9,13

8,9,9,9,10,11,13,15,17,18,22

Find the median, which is the center value in the data set

8,9,9,9,10,11,13,15,17,18,22⇒the median is 11

Place brackets around the numbers above and below the median

(8,9,9,9,10)11 (13,15,17,18,22)

Find the median in the lower half of the data,Q1

(8,9,9,9,10) ⇒median is 9=Q1

Find the median in the upper half of the data,Q3

(13,15,17,18,22)⇒median is 17=Q3

Subtract Q1 from Q3 to get the interquartile range

Q3=17, and Q1=9

Q3-Q1=17-9=8

Find the value of X in the picture please

Answers

Answer:

The measure of the arc x is 130°

Step-by-step explanation:

we know that

The semi-inscribed angle is half that of the arc it comprises

so

65°=(1/2)[arc x]

solve for x

arc x=(2)(65°)=130°

An object is thrown upward at a speed of 58 feet per second by a machine from a height of 7 feet off the ground. The height h of the object after t seconds can be found using the equation h=−16t^2+58t+7

a.When will the height be 17 feet? ______


b. When will the object reach the ground? ______

Answers

Answer:

First part:

Set h(t) = 17and solve for t.

-16t²+ 58t + 7= 17

-16t² + 58t - 10 = 0

Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.

Second part:

Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.

The time required to reach 17 feet and the ground by the ball is required.

The time taken to reach 17 feet is 0.181 s.

To reach the ground the time taken is 3.74 s.

The equation is

[tex]h=-16t^2+58t+7[/tex]

[tex]h=17[/tex]

[tex]17=-16t^2+58t+7\\\Rightarrow -16t^2+58t-10=0\\\Rightarrow t=\frac{-58\pm \sqrt{58^2-4\left(-16\right)\left(-10\right)}}{2\left(-16\right)}\\\Rightarrow t=0.181,3.44[/tex]

The time taken reach a height of 17 feet while going up is 0.181 s.

On the ground [tex]h=0[/tex]

[tex]0=-16t^2+58t+7\\\Rightarrow t=\frac{-58\pm \sqrt{58^2-4\left(-16\right)\times 7}}{2\left(-16\right)}\\\Rightarrow t=-0.12,3.74[/tex]

The time taken to reach the ground is 3.74 s.

Learn more:

https://brainly.com/question/12937278?referrer=searchResults

https://brainly.com/question/12937959?referrer=searchResults


Which graph shows y=3⌈x⌉+1 ?

Answers

The graph located in the upper right corner of the image attached shows the graph of y = 3[x]+1.

In order to solve this problem we have to evaluate the function y = 3[x] + 1 with a group of values.

With x = { -3, -2, -1, 0, 1, 2, 3}:

x = -3

y = 3[-3] + 1 = -9 + 1

y = -8

x = -2

y = 3[-2] + 1 = -6 + 1

y = -5

x = -1

y = 3[-1] + 1 = -3 + 1

y = -2

x = 0

y = 3[0] + 1 = 0 + 1

y = 1

x = 1

y = 3[1] + 1 = 3 + 1

y = 4

x = 2

y = 3[2] + 1 = 6 + 1

y = 7

x = 3

y = 3[3] + 1 = 9 + 1

y = 10

 x     y

-3    -8

-2    -5

-1     -2

0      1

 1     4

 2    7

 3   10

The graph that shows the function y = 3[x] + 1 is  the one located in the upper right corner of the image attached.

Answer:

The answer you picked was correct. I just took the test and that's it.

Step-by-step explanation:

You hike uphill at a rate of 200 feet per minute. Your friend hikes downhill on a same trail at a rate of 250 feet per minute. How long will it be until you meet?

Answers

Answer:

After  x/450 minutes

Step-by-step explanation:

The speed uphill is 200 ft/min

The speed down hill is 250 ft/min

Lets take the hiking distance top to down hill is x ft

Remember speed=distance/time

Relative speed =200+250=450ft/min

Time to meet=distance/relative speed

Time to meet=x/450 min

Final answer:

To find out how long it will take until you meet, we need to determine the distances each hiker covers and then divide it by their respective rates.

Explanation:

To find out how long it will take until you meet, we need to determine the distances each hiker covers and then divide it by their respective rates.

The first hiker covers a certain distance while hiking uphill, while the second hiker covers a certain distance while hiking downhill. When they meet, their combined distances will add up to the total distance of the trail.

Let's say it takes x minutes for you to meet. The first hiker covers a distance of 200x feet in x minutes, while the second hiker covers a distance of 250x feet in the same x minutes. When they meet, their combined distances will equal the length of the trail, so we can set up the equation: 200x + 250x = total distance. Solving for x will give us the time it takes for you to meet.

You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long should it take you to take all of the pictures?

Answers

146 minutes in total. One student =3 minutes. So then 42x3= 126. Class picture is 10x2=20. So then add both of them you get 146.

Answer:

It will take 143 minutes to take the pictures

For a certain weekend, the weatherman predicts that it will rain with a 40% probability on Saturday and a 50% probability on Sunday. Assuming these probabilities are independent, what is the probability that it rains over the weekend (that is, on at least one of the days)? Express your answer as a percentage.

Answers

Answer:

70%

Step-by-step explanation:

The probability it rains on at least one of the days is:

P = P(Sat & not Sun) + P(Sun & not Sat) + P(Sat & Sun)

P = (0.40)(1−0.50) + (0.50)(1−0.40) + (0.40)(0.50)

P = 0.20 + 0.30 + 0.20

P = 0.70

Another way to look at it is 1 − the probability that it doesn't rain on either day.

P = 1 − P(not Sat & not Sun)

P = 1 − (1−0.40)(1−0.50)

P = 1 − 0.30

P = 0.70

There is a 70% probability that it will rain on at least one day.

Final answer:

The probability that it will rain on at least one day over the weekend is 70%, based on independent probabilities given for Saturday and Sunday.

Explanation:

The subject of your question is probability, a branch of mathematics that studies randomness and the likelihood of events occurring. To calculate the probability that it will rain over the weekend, i.e., on at least one of the days (Saturday or Sunday), we first need to find the probability that it won't rain on either day.

The probability it doesn't rain on Saturday is 60% (100% - 40%), and the probability it doesn't rain on Sunday is 50% (100% - 50%). Since these events are independent, we multiply these probabilities to find the joint probability. Therefore, the probability it doesn't rain on either day is 30% (0.6 × 0.5 = 0.3).

Now, this is the case which we don’t want (no rain), so the case we want (that it rains at least one day) is the complementary event of this. Thus, we subtract this from the total probability, which is 1, yielding a 70% (1 - 0.3) probability that it will rain on at least one of the days over the weekend.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ3

Help pls I don't really understand

Answers

Y=6. So we use 6 instead of y that we have in the equation. Plug in 6 in the equation. 13+6/6=13+1=14.

Y = 6

13 + [tex]\frac{6}{y}[/tex] means that we are adding 13 and 1 together because 6 divided by 6 is 1.

13 + 1 = 14

the graph of g(x), shown below in pink, has the same shape as the graph of f(x)=x^2, shown in gray. which of the following is the equation for g(x)

Answers

Answer:

B

Step-by-step explanation:

The graph of g(x) has its vertex at (1, - 3)

The equation of a parabola in vertex firm is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (1, - 3), thus

g(x) = (x - 1)² - 3 → B

Answer:

B.f(x)=(x-1)²-3

Step-by-step explanation:

apex

Solve for x. x2 + 7x + 10 = 0 A. -2, -5 B. -2, 5 C. 2, -5 D. 2, 5

Answers

Answer:

A. -2, -5

Step-by-step explanation:

x^2 + 7x + 10 = 0

Factor the equation

What 2 numbers multiply to 10 and add to 7

2*5 =10

2+5 = 7

(x+2) (x+5)=0

Using the zero product property

x+2 =0  x+5 =0

x=-2       x = -5

What is the value of x in x + 2 = 5?

Answers

Answer:

x = 3

Step-by-step explanation:

x + 2 = 5       subtract 2 from both sides

x + 2 - 2 = 5 - 2

x = 3

Check:

3 + 2 = 5     CORRECT :)

The radius of a circular park is 114 yd. To the nearest yard, what is the
circumference of the park?

Answers

Answer:

716 yards

Step-by-step explanation:

Circumference = π × Diameter

2 × Radius = Diameter

2 × 114 = 228

Circumference = π × Diameter

Circumference = π × 228 = 228π = 716.283125018

Answer:

716 yd

Step-by-step explanation:

The circumference of a circle is 2*pi*radius.

The radius is 114 yd so the circumference is 2*pi*114 yd.

Put into the calculator and you obtain 716.283 yd.

The answer to the nearest yard is 716.

Half of a number is three times the sum of a number ad five.

Answers

10

If you treat the number as x, then [tex]\frac{1}{2}x=x+5\to-5=\frac{1}{2}x\to-10=x[/tex].

How many pairs of parallel faces are shown?

Answers

Final answer:

There are three pairs of parallel faces in a cube, as each face has one parallel counterpart. An icosahedron has no parallel faces. When standing between two parallel mirrors, an infinite series of images is theoretically created, but only a finite number can be seen due to practical limits.

Explanation:

To determine the number of pairs of parallel faces in a geometric shape, we have to consider the characteristics of the shape provided. In the case of a cube, which seems to be the most closely related shape mentioned in the details provided, there are three pairs of parallel faces. Each face of a cube is parallel to one other face that is opposite to it. For instance, the top face of the cube is parallel to the bottom face, one of the side faces is parallel to the face directly opposite to it, and the same applies to the front and back faces.

If the student's question instead pertains to an icosahedron, which is mentioned among the details, an icosahedron does not have any parallel faces as it is made up of equilateral triangles, and each face is inclined to the others.

For the discussion question regarding images formed between two parallel mirrors, an infinite number of images would be formed. This is because the mirrors reflect not only the object but also the images in the other mirror, thus creating a series of reflections that seem to go on indefinitely. However, due to practical limitations such as the quality of the mirror and ambient light, only a finite number of these images can actually be observed.

What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? (5 points) y = 4x − 2 y = 2x − 4 y = −3(x − 4) y = 3(x + 4)

Answers

For this case we have that by definition, the point-slope equation of a line is given by:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3[/tex]

We chose a point:

[tex](x_ {0}, y_ {0}) :( 4,0)[/tex]

Substituting in the equation we have:

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

Finally, the equation is: [tex]y = -3 (x-4)[/tex]

Answer:

OPTION C

Answer:

Third option:  [tex]y=-3(x-4)[/tex]

Step-by-step explanation:

The equation of the line in Point-Slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where "m" is the slope and [tex](x_1,y_1)[/tex] is a point on the line.

Given the points  (4, 0) and (2, 6), we can find the slope with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting values, we get:

 [tex]m=\frac{0-6}{4-2}=-3[/tex]

Finally, substituting the slope and the point (4,0) into  [tex]y-y_1=m(x-x_1)[/tex], we get:

 [tex]y-0=-3(x-4)[/tex]

 [tex]y=-3(x-4)[/tex]

The volume of a cylinder is 980pi in3. The radius is 7 in. What is its height?

A) 10 in
B) 140 in
C) 70 in
D) 20 in

Answers

Answer:

D) 20 in

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

Substituting what we know

980 pi = pi (7)^2 h

Divide each side by pi

980 pi /pi= pi 49 h/pi

980 = 49h

Divide each side by 49

980/49 = 49h/49

20 =h

Answer:

h ≈ 20 inches

Step-by-step explanation:

Given volume 980 pi inches cubed and radius 7 inches.

Using the height formula for right cylinder

h = V/π r^2

h = 3078.78/π7^2

h ≈ 20 inches

3. The width and length of a rectangle are
consecutive integers. If the perimeter of
the rectangle is 142 inches, find the width
and length of the rectangle.​

Answers

Answer:

35 and 36

Step-by-step explanation:

If the smaller dimension is x, then the larger dimension is x + 1.  Therefore:

2x + 2(x + 1) = 142

2x + 2x + 2 = 142

4x = 140

x = 35

One dimension is 35, and the other dimension is 36.

Answer:

The dimensions of the rectangle are 35 inches by 36 inches.

Step-by-step explanation:

If the length and width are consecutive integers and L=n, then W=n+1 assuming the width is larger.

We are given the perimeter is 142 inches so: 2L+2W=142.

Substituting L=n and W=n+1 we have:   2(n)+2(n+1)=142.

Let's solve it:

2(n)+2(n+1)=142

Distribute:

2n+2n+2=142

Combine like terms:

4n+2=142

Subtract 2 on both sides:

4n=140

Divide both sides by 4:

n=140/4

n=35

Since L=n, then the length is 35 inches.

Since W=n+1, then the width is 36 inches.

The dimensions of the rectangle are 35 inches by 36 inches.

Fencing costs $3.25 per foot. A certain
yard has a width of 60 feet and length of
80 feet How much is the cost to fence?

Answers

Answer:

910$

Step-by-step explanation:

It's easiest if we just add the width and length together to start which would be 2 sides of the fence so we multiply by 2 to complete the whole perimeter.

80+60 = 140 x 2 = 280

Now you need to multiply 280 by 3.25 because that is what it will cost in the end since the 280 is all of the feet together and the 3.25 is each foot's price.

3.25 x 280 = 910

910$

Need help with 13 and 14

Answers

Answer:

13. A

14. C.

Step-by-step explanation:

A relation is a function if there is only one y assigned to each x.

That is if you have a set of points, there should be no repeated x value.

So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.

The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.

The y-intercept is where the graph goes through the y-axis at.  It goes through at -1 so b=-1.

The slope is rise/run.  So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works.  You can do the counting if you want. You could also use the slope formula.

To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.

(0,-1)

-(3,1)

--------

-3  -2

So the slope is -2/-3 or just 2/3.

So the equation is y=2/3 x-1

C.

Louisa states that the solution to the equation 1/4x - 3 = 3/8x + 4 is x = 56. She verifies her solution using the steps below.

Equation: 1/4x - 3 = 3/8x + 4
Step 1: 1/4(56) - 3 = 3/8(56) + 4
Step 2: 14 - 3 = 21 + 4
Step 3: 11 = 25

Which statement most accurately describes Louisa’s error?

A. Louisa made an error when determining the original solution of x = 56.
B. Louisa made an error when substituting the solution in for x.
C. Louisa made an error when multiplying 56 by 1/4 and by 3/8
D. Louisa made an error when adding or subtracting.

Answers

Answer:

A. Louisa made an error when determining the original solution of x = 56.

Step-by-step explanation:

1/4x - 3 = 3/8x + 4

To verify x=56 is a solution, substitute x=56 into the equation

1/4(56) - 3 = 3/8(56) + 4

Multiply

14 -3 = 21 +4

Combine like terms

11 = 25

The steps are correct.

x=56 must not be a solution to the equation

Answer:

option A

Step-by-step explanation:

Given that Louisa states that the solution to the equation 1/4x - 3 = 3/8x + 4 is x = 56.

She did the following steps

Step 1 is right because she substituted x=14 to check whether right side = left side

Step 2: Multiplication is done correctly

Step 3: Is incorrect because 11 can never be equal to 25 in Mathematics.

Hence the mistake she did is not in substitution, multiplication or addition/subtraction. But in determining the original solution

Hence A)  Louisa made an error when determining the original solution of x = 56.

Which of the following is equivalent to 45x-5z.
A. 5(9x-z). B. 5x(45x-z). C. 10(9x-z). D. 5(9x^2-z) please answer thanks

Answers

Answer:

A. 5(9x-z)

Step-by-step explanation:

45x-5z

We can factor out a 5 from each term

5(9x -z)

Answer:

A.

Step-by-step explanation:

Given the expression, 45x - 5z, you have to think what can be factored out of BOTH terms.

we know 5 is a factor of both terms, so it can be taken out

=

5(9x - z), nothing else can be factored

Other Questions
A basketball player can make make basket 70% of the time in the first Free Throw. However, if she misses the first one the conditional probability that she will make the second one is only 50%. If she makes the first one, then the chances of making the 2nd one is actually 90%. She made two attempts. a) Find the probability that she will make it both the times. b) Find the probability that she will make it exactly once. c) Given than she made it exactly once, what is the probability that it was the 2nd one? Select the correct answer.Which graph represents a proportional relationship? What is the solution to the system of equations graphed below?y = --3/2x+2y = 5x + 28 7.What information, besides beats per minute, could you deduce from a persons pulse rate? (Think in terms of hemodynamics) The mass of a string is 5.5 10-3 kg, and it is stretched so that the tension in it is 230 N. A transverse wave traveling on this string has a frequency of 160 Hz and a wavelength of 0.66 m. What is the length of the string? Determine whether the relation represents y as a function of x. 1.) x^2+y^2=9 2.) 2xy=1 Given that (X+3) is a factor of the expression x^3 + 4x^2 + px + 3 , find the value of p. Hence, solve the equation x^3 + 4x^2 + px + 3=0, expressing the complex number in the form a + bi Question : add the missing punctuation to the text There was no drop in the authors confidence when the film of his novel which involved two years writing was badly received by cinema audiences the spokesperson for the studio defended the films release it was an ambitious project. Were very proud of it. Among 8846 cases of heart pacemaker malfunctions, 375 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 8846 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted? 2 N H 3 ( g ) N 2 ( g ) + 3 H 2 ( g ) K p = 0.83 Consider your answers above, if the initial pressures for all three species is 1 atm what is the equilibrium pressure of H2? (Hint: Your quadratic will have two solutions, which one is impossible?) Read the excerpt below and answer the question,Now came a pause of ten minutes, during which I, by this time in perfect possession of my wits, observed allthe female Brocklehursts produce their pocket-handkerchiefs and apply them to their optics, while the elderlylady swayed herself to and fro, and the two younger ones whispered, "How shocking!" (chapter 7)Using context clues, the word optics in the above passage most likely refers to A. Noses B. MouthC. EyesD. Ears A far-sighted person has a near-point of 80 cm. To correct their vision so that they can see objects that are as close as 10 cm to their eye, what should be the focal length of the prescribed lens? Assume the lens will be 2 cm from the eye. If the Federal Reserve buys a Treasury bond from a bank, what will be the effect on the interest rate the bank charges its customers for a loan? A. The interest rate will increase since there are fewer available funds for the bank to loan. B. The interest rate will increase since there are more available funds for the bank to loan. C. The interest rate will decrease since there are fewer available funds for the bank to loan. D. The interest rate will decrease since there are more available funds for the bank to loan.2b2t you can calculate the probabilityof a random event, such as the rolling of dice or dealing of cards, by _____ In a follow-up experiment, two identical gurneys are placed side-by-side on a ramp with their wheels locked to eliminate spinning. Gurney 1 has a dummy placed on it to give it a total mass of 200 kg, while Gurney 2 is loaded with a dummy that makes it only 50 kg overall. If the ramp has a coefficient of friction of s, which gurney is more likely to slide down the ramp? If b=a+3, then (a-b)exponent 4 A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours. 0.1346 0.1285 0.1946 0.1469 Q What is the significance of amending the Constitution? Bones come together at a The following yield criteria are dependent on hydrostatic stress (a) Maximum distortion energy and maximum normal stress (b) Tresca and Mohr-Coulomb (c) Tresca and von-Mises (d) Maximum normal stress and Mohr-Coulomb