The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5

In which step did the student first make an error and what is the correct step?

Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

Answer: 5:15 PM

Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)

Answer:

9

Step-by-step explanation:

you would do 3+3+3 because there are 3 colors

And i just got it right on my quiz.

There will be 9 branches in the tree diagram of the situation.

In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.

Given,

A spinner of three sections colored green, purple and pink.

Number of outcomes = 3

spinner is spun twice,

then number of outcomes = 3 × 3 = 9

Number of branches in tree = 9

Hence, 9 branches will be there in probability tree diagram.

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Answer:

area of triangle = 1/2×base×height

area of triangle =1/2×15m×16m

area of triangle =120m²

Answer:

B. $25000

C. Symmetry

Step-by-step explanation:

Hope this helps

Answer:

(2;-2)

Step-by-step explanation:

for more details see the attached picture.

"200" (and any subsequent words) was ignored because we limit queries to 32 words

Kate is reading 40 pages per hour.

The whole book takes 12.5 hour to complete.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the data we have (5, 200) and (5,0)

then slope= (200-0) / 5

                = 40

So, Kate is reading 40 pages per hour.

Now, to read the whole book i.e., 500 pages it takes

= 500/40

= 12.5 hours

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Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (-3,0)[/tex]

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]

[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]

[tex](x,y) = 0.5(0, 0)[/tex]

Open bracket

[tex](x,y) = (0.5*0, 0.5*0)[/tex]

[tex](x,y) = (0, 0)[/tex]

Next, determine the slope of the given endpoints.

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

[tex]m = \frac{0 - 0}{-3- 3}[/tex]

[tex]m = \frac{0}{-6}[/tex]

[tex]m = 0[/tex]

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

In this case:

[tex]m = m_1 = 0[/tex]

So:

[tex]m_2 = -\frac{1}{0}[/tex]

[tex]m_2 = unde\ fined[/tex]

Since the slope is [tex]unde\ fined[/tex], the equation is:

[tex]x = a[/tex]

Where:

[tex](x,y) = (a,b)[/tex]

Recall that:

[tex](x,y) = (0, 0)[/tex]

So:

[tex]a = 0[/tex]

Hence, the equation is:

[tex]x = 0[/tex]

Answer:

56

Step-by-step explanation:

6^2 = 36

36 + 15 = 51

51 + 4 = 56

Answer:

No, it is not a valid way

Step-by-step explanation:

Required

Is Susie's method valid?

Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.

In other words, Susie's method will not work when the two numbers have a common factor.

Take for instance, the LCM of 2 and 4.

Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.

Either F or J

I think it's J, but it might be F :|

Answer:

the correct answer is 904.78 cubic. inches

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

Answer:

1/30 of an hour

Step-by-step explanation:

Answer:

62.16

Step-by-step explanation:

Answer:

the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Step-by-step explanation:

The computation of the expected value and the standard deviation of the sample mean is shown below:

The mean is 70

And, the standard deviation is

= 20 ÷ √49

= 20 ÷ 7

= 2.86

Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Answer:

One proportion is 15 songs / 2.5 hours = 18 songs / h hours.

ok I'll try to answer

first the given 15/2.5=18/h

so the second hour is missing so we have to multiply cross then the result will be

15h=45

divide 15 for 15 and we got h

again divide 45 for 15

[h=3]

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

The Distance between point A and Point B is √10 units.

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, Coordinates of A is (1, 8) and B is (4, 9).

Distance formula = √(x₂-x₁)² + (y₂-y₁)²

                              = √(4 - 1)² + (9 - 8)²

                             = √9 +1

                   AB     = √10

Thus, the Distance between point A and Point B is √10 units.

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Answer:

hope this helps :)

Step-by-step explanation:

Answer:

d) y= -2/3x+3 1/2

Step-by-step explanation:

Points on the graph: ( -4, 6) and ( -7, 8)

Slope:

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

m=(8-6)/(-7+4)

m= 2/(-3)

m= -2/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = -2/3(x + 4)

y - 6 = -2/3x - 8/3

y = -2/3x + 3 1/2

Answer:

P = L+B

Hope it helps

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

Answer:

5y-y= 5? I don’t know  I’m not totally sure.

Step-by-step explanation:

Answer:

step it up dont lack

Step-by-step explanation:

keep answering and helping others

Answer:

(1,2) and (5,4)

Step-by-step explanation:

Hello There!

I had made a graph to make it easier to understand.

The points given to us are represented by the green points

The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)

As you can see the points added had created a rectangle with sides that are parallel with the x axis

This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)