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:

The change in the scale factor is

✔ 1/3

The change of scale means that 1 inch represented

✔ 8

feet, but now 1 inch represents

✔ 24

feet.

Step-by-step explanation:

If you have a rectangle or square, each of the angles measures 90°. If you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For other types of quadrilaterals you may need to add the given angles and then subtract from 360°.

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The change in the scale factor is

1/3.

The change of scale means that 1 inch represented 8 feet, but now 1 inch represents 24 feet.

If you have a rectangle or rectangular, each of the angles measures 90°. if you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For different types of quadrilaterals, you can want to feature the given angles and then subtract from 360°.

The scale factor is a degree for similar figures, who appear the same but have distinctive scales or measures. Assume, the circle looks similar however they might have various radii. The scale factor states the scale by the way which a determined is larger or smaller than the original figure.

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Answer: 0.59

Step-by-step explanation:

The probability that the next person will purchase exactly one costume is 0.59.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of visitors = 126+228+34 = 388

Total number of visitors who purchased exactly one costume = 228

The probability = 228/388 = 0.587 ≈ 0.59

Thus, the probability that the next person will purchase exactly one costume is 0.59.

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Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

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Answer:

81 m²

Step-by-step explanation:

The area of the figure = area of the rectangle + area of the triangle

= Length*Width + ½*base*height

Length = 10 m

Width = 6 m

base = 6 m

height = 7 m

Thus:

Area = 10*6 + ½*6*7

Area = 60 + 21 = 81 m²

Answer:

I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

4-2 = 2

3 - (-2) = 5

Put the y values over the x

[tex]\frac{2}{5}[/tex]

Answer:

12 miles

Step-by-step explanation:

Area=length*width

To find the length using the area, do area/width.

96/8=12

Answer:

99 minutes

Step-by-step explanation:

18/14 = 1.286 minutes per page

1.286 x 77 = 99 minutes

Answer:

No triangle possible

Step-by-step explanation:

The one side is to short to make a triangle

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer: if it is -7+10 then it is 3

Answer:

I think 3 hours

Answer:

2/6 in 2 hours

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]

What number of minutes should the advertisement use?

The values of x for which:

[tex]P(X > x) = 0.01[/tex]

So

[tex]e^{-\mu x} = 0.01[/tex]

[tex]e^{-0.2857x} = 0.01[/tex]

[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]

[tex]-0.2857x = \ln{0.01}[/tex]

[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]

[tex]x = 16.12[/tex]

Rounding to the nearest number, the advertisement should use 16 minutes.

Answer:

x=8

Step-by-step explanation:

have a good day

Answer:

x=8

Step-by-step explanation:

divide both sides of the by equation by 4

4x÷4=32÷4

x=32÷4

x=8

Answer:

1/2. gallon.............

Answer:

142

Step-by-step explanation:

14x+2

(14)(10)+2

=142

2(7x+1)

2((7)(10)+1)

=142

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A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

Answer:

Can you show a picture? Or like tell us the options?

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1

Answer:

D) 15.7 cm

Step-by-step explanation:

radius = 10 cm

diameter = 10 x 2 = 20 cm

circumference = 20 x 3.14 = 62.8 cm

(90°/360°)(62.8) = 15.7 cm

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Its 6/5..

1 = 20%

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