Dierdre’s work to solve a math problem is shown below.

Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon?
Step 1:
1 and one-half divided by 12 = n
Step 2:
Three-halves divided by 12 = n
Step 3:
Three-halves times StartFraction 1 Over 12 EndFraction = n
Step 4:
StartFraction 3 Over 24 EndFraction = n
Answer:
One-eighth = n

What was Dierdre’s first error?
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
She used an improper fraction in step 2 that is not equivalent to 1 and one-half.
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
She reduced the fraction in step 4 incorrectly.

Answer:

Its my first answer but may i have a brainlist please im new

Step-by-step explanation:

Answer:

1,360,000

Step-by-step explanation:

1,700,000-340,000 = 1,360,000 or 1.36×10^5

Answer:

240 yd

Step-by-step explanation:

Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.

Consider the figure in the attached file.

We need to find the total distance traveled by Betsy.

The distance covered by Betsy is

length of segment AB length of segment BC length of segment CD length of segment DA.

To find the distance AB, we need to find the distance from A to B on y-axis.

So, length of segment AB units

To find the distance BC, we need to find the distance from B to C on x-axis.

So, length of segment BC units

To find the distance CD, we need to find the distance from C to D on y-axis.

So, length of segment CD units

To find the distance DA, we need to find the distance from D to A on x-axis.

So, length of segment DA units

Hence, the total distance covered is units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is yd

Answer:

(3,3)

Step-by-step explanation:

x=(5+1)/2=3

y=(5+1)/2=3

Answer:

A

Step-by-step explanation:

slope is (y2-y1)/(x2-x1)

anyhow that comes out to -3/2

the only place that actually applies is in A

Answer:

A

Step-by-step explanation:

6=-3/2×-2+3

6=3+3

6=6

-3=-3/2×4 + 3

-3=-6+3

-3=-3

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

Work Shown:

(small vertical)/(large vertical) = (small horizontal)/(large horizontal)

8/x = 16/40

8*40 = x*16 .... cross multiply

320 = 16x

16x = 320

x = 320/16  .... divide both sides by 16

x = 20

Note: there are other proportions you could set up such as 8/16 = x/40. The key here is that whatever equation you set up, it must cross multiply to 16x = 320 so that you get the same solution.

Answer:

if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm

Step-by-step explanation:

Answer:

A is 8 ounces/ 12 cupcakes   is 12 cupcakes/8 ounces I'm not sure about C and D is 18 cupcakes for 12 ounces of frosting

Step-by-step explanation:

Answer:

a = 2 - 3b

        2

Step-by-step explanation:

3(a + b) = a + 2   expand

3a + 3b = a + 2

3a - a = 2 - 3b

2a = 2 - 3b

a = 2 - 3b

        2

Answer:

thx may i have brainliest to plz i so close to next rank

Step-by-step explanation:

Answer:

bbbbbbbbbbbbbbbbbb

Step-by-step explanation:

popppppppppppppppppppppppppppppp

Answer:

A=184

Step-by-step explanation:

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

Answer:

I'm not 100% if its right but I think its 4:2.

Step-by-step explanation:

Answer:

the closest one i think is 4:3(dont get mad at me if its wrong)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](f+g)(x) =f(x) + g(x)\\f(x) = x+ 5\\g(x) = 2x + 1\\(f+g)(x) = x+ 5 + 2x + 1\\(f+g)(x) = 3x + 6\\\\(f+g)(3) = 3(3) + 6 = 15[/tex]

Answer:

no it isn't the inverse.

Answer:

Its B

Step-by-step explanation:

50/10=5

Answer:

B. The store made a profit of $5.00 per store.

Step-by-step explanation:

As you can see on the graph, there is a point (200 , 40).

now i will use this equations:

200/40 = x

40 = number of shirts sold

200 = profit made from 40 shirts

x = amount of money per shirt sold.

200/40 = 5

Each shirt is sold for $5.00

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

Work Shown:

Let

g(x) = ax^3 + 2

h(x) = bx^2 + 1

Plug x = 1/2 into each function

g(x) = ax^3 + 2

g(1/2) = a(1/2)^3 + 2

g(1/2) = (1/8)a + 2

and

h(x) = bx^2 + 1

h(1/2) = b(1/2)^2 + 1

h(1/2) = (1/4)b + 1

In order for f(x) to be differentiable at x = 1/2, the function f(x) must be continuous at x = 1/2. If we had a jump discontinuity here, then there is no way the function is differentiable here.

f(x) is continuous at x = 1/2 when g(1/2) = h(1/2).

This means,

g(1/2) = h(1/2)

(1/8)a + 2 = (1/4)b + 1

8*[(1/8)a + 2] = 8*[(1/4)b + 1]

a+16 = 2b+8

a = 2b+8-16

a = 2b-8

We'll keep this in mind for later.

--------------------------------------------------

Now let's compute the derivatives

g(x) = ax^3 + 2

g ' (x) = 3ax^2

h(x) = bx^2 + 1

h ' (x) = 2bx

Now plug in x = 1/2

g ' (x) = 3ax^2

g ' (1/2) = 3a(1/2)^2

g ' (1/2) = (3/4)a

and

h ' (x) = 2bx

h ' (1/2) = 2b(1/2)

h ' (1/2) = b

Equate the two items. We do so because we want f(x) to be differentiable at x = 1/2, so that means g ' (1/2) = h ' (1/2)

So,

g ' (1/2) = h ' (1/2)

(3/4)a = b

3a = 4b

a = (4b)/3

--------------------------------------------------

Earlier we found a = 2b-8.

Since both a = 2b-8 and a = (4b)/3, this means we can equate the right hand sides to solve for b

2b-8 = (4b)/3

3*(2b-8) = 3*(4b)/3

6b-24 = 4b

6b-4b = 24

2b = 24

b = 24/2

b = 12

Which leads to

a = 4b/3

a = 4*12/3

a = 48/3

a = 16

--------------------------------------------------

The piecewise function

[tex]f(x) = \begin{cases}ax^3+2, \ \ x < \frac{1}{2}\\bx^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]

will update to

[tex]f(x) = \begin{cases}16x^3+2, \ \ x < \frac{1}{2}\\12x^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]

To verify f(x) is differentiable at x = 1/2, you should check to see if both pieces evaluate to the same output when you plug in x = 1/2. In other words, you should check to see if g(1/2) = h(1/2).

Also, you should check to see if g ' (1/2) = h ' (1/2) so that f(x) is fully differentiable here. I'll let you do the check portions.

--------------------------------------------------

After getting our a and b values, we can finally say that

a+b = 16+12 = 28

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Answer:

I would say B

Step-by-step explanation:

Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time

Answer:

The largest size of the teams would be 6 if you wanted all teams to be the same size and consist of only members from their own room.

Step-by-step explanation:

In order to solve this, you need to find the greatest common factor. The highest number that can go into 12, 18, and 24 evenly would be 6.

Answer:

2 teams of 6 for class A, 3 teams of 6 for class B. and 4 teams of 6 for class C

Step-by-step explanation:

We are given the total amount of students in each class. 12,18,24. In order to separate these we have to find the common denominator among all the classes total numbers. 6 is a common denominator between them all as we can break it down to the number thats most common. Take the total number of students in each class and divide it by six. That is the total number of groups to be equal among them all.

Answer:

x=90

Step-by-step explanation:

it is a square so: 360/4=90

Answer:

can't really do that.

Step-by-step explanation:

whats the numbers lol

Answer:

0, -5, 3 = Integers 8.1, 1/2, =2.5 = Not an Integer

Step-by-step explanation:

Edge 2021

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

Answer:

[tex]x = \frac{18}{7} [/tex]

Answer:

REEEEEEEEEEEE

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Add up all the numbers and divide by how many numbers there are.

Answer:

49

Step-by-step explanation:

the sum of all the numbers is 294

294÷6=49

Answer:

the answer is [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)

hope this helps :)