Jeremy's work to solve the equation
-3x+1
2
2x – 10 is shown below.
Step
Work
Justification
1
-3.1+1
2
= 2x – 10
2
-3x +1 = 4x – 20
3
–7x + 1 = –20
4
72 = -21
5
= 3
Identify the mathematical properties Jeremy uses to justify his steps.

Answer:

x > 10

Step-by-step explanation:

5x - 24 > 26

Add 24 on both sides.

5x -24 + 24 > 26 + 24

5x > 50

Divide by 5 on both sides.

x > 50 ÷ 5

Find x.

x > 10

Answer:

x=5+b/2

Step-by-step explanation:

move all terms that dont contain x to the right, and solve

Answer:

2 times 6-2+10

Step-by-step explanation:

Answer:

what am i supposed to be answering..?

Step-by-step explanation:

Answer:

it would help her know how to prepare her teaching to match the students learning and expectations

Step-by-step explanation:

This idea of opening this tutoring service for students in these grades would prove a success if if martine has adequate knowledge of her students/customers. That is the learners requirements, their expectations, their experiences, and their strengths and weaknesses in particular subject areas.

Knowledge of these expectations would help to set Martine on the path of tutoring success and this would attract more students. So for her to have a strong tutoring business she has to know the approaches to use to make students strong academically, and how to match learning ability with her teaching.

No , the rule y = 6x ^7 does not represent an exponential function.

We have given  y =6 x^7.

Here the variable is base & the exponent is an integer.

But an exponential function has a constant as its base and a variable as its exponent .

So, it does not represent an exponential function .

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The length of the parking lot will be 212 yards

From the question, we are to determine what the length of the parking lot needs to be

From the given information, we have that

"A rectangular-shaped parking lot is to have a perimeter of 546 yards"

and

"the width must be 61 yards"

From the formula for perimeter of a rectangle,

P = 2(l +w)

Where P is the perimeter

l is the length

and w is the width

From the given information,

P = 546 yards

w = 61 yards

Putting the parameters into the equation,

546 = 2(l + 61)

546 = 2l + 122

2l = 546 - 122

2l = 424

l = 424/2

l = 212 yards

Hence, the length of the parking lot will be 212 yards

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Answer:

On a coordinate graph, make a point at (0, -1)

Move the point up 3 units and right 2 units, and make another point. Continue across the plane and draw the line connecting the dots.

Answer:

Step-by-step explanation:

Answer:

32/3 servings

Step-by-step explanation:

4 / (3/8) =

(4/1) x (8/3) =

32/3

Answer:

y = 6

Step-by-step explanation:

(7y-8y)2+14=2

First, simplify the left side

7y - 8y = -y

2*-y = -2y

Now solve the equation

-2y + 14 = 2

Subtract 14 from both sides

-2y = -12

Take away the negative signs since both sides are negative

2y = 12

Divide both sides by 2

y = 6

(If the variable was x instead of y the variable would still equal 6)

Answer:

[tex]y = 6.495x + 6.495[/tex]

Step-by-step explanation:

Represent years with x and cost with y.

So, we have:

[tex](x_1,y_1)=(1,12.99)[/tex]

[tex](x_2,y_2)=(3,25.98)[/tex]

Required

Determine the slope intercept equation

First, we calculate the slope (m)

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

[tex]m = \frac{25.98 - 12.99}{3 - 1}[/tex]

[tex]m = \frac{12.99}{2}[/tex]

[tex]m = 6.495[/tex]

The equation is then calculated as:

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

Where

[tex]m = 6.495[/tex]

[tex](x_1,y_1)=(1,12.99)[/tex]

[tex]y - 12.99 = 6.495(x - 1)[/tex]

[tex]y - 12.99 = 6.495x - 6.495[/tex]

Make y the subject

[tex]y = 6.495x - 6.495 + 12.99[/tex]

[tex]y = 6.495x + 6.495[/tex]

Answer:

even

Step-by-step explanation:

11050 it's even because it ends in a zero

Answer:

938

Step-by-step explanation:

So if you are taking a quiz it's C.

Answerits the point that divides the segment into two congruent segments

Step-by-step explanation:

ex. D————-o————-G

The midpoint would be the O. Mid:means Middle

hehehe hope this helps

Answer:

should be complementary angles

the equation you have given is linear because x directly influences y

Answer:

x=30

Step-by-step explanation:

8x - 3(2x-4) = 3(x-6)

first let's get rid of the brackets:

8x- 3·2x + 3·4 = 3x - 3·6

8x - 6x + 12 = 3x - 18

now group all the x terms and number terms

8x - 6x - 3x = -18 - 12

-x = -30

x = 30

Answer:4(x - 1) - x = 3(x + 5) - 11

Step-by-step explanation:

Lily's work:

4(x – 1) – x = 3(x + 5) – 11

4x – 4 – x = 3x + 15 – 11

3x – 4 = 3x + 4

Her partial solution, 3x - 4 = 3x + 4, can be interpreted as a FALSE statement because 3x - 4 does NOT equal 3x + 4.

Since it is a false statement, the equation has no solution.

The number of the solution will be infinity. Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4(x – 1) – x = 3(x + 5) – 11

Simplify the equation, we have

4x – 4 – x = 3x + 15 – 11

3x - 3x = 8

The variable x is eliminated.

Then the number of the solution will be infinity.

Then the correct option is D.

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Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

Jesse Owen speed is 9.71 meters per seconds.

Speed is a scalar quantity that refers to "how fast an object is moving.

In other words, speed is the distance travelled per unit of time.

Therefore, it can be represented mathematically as follows:

speed = distance / time

Jesse Owen covers 100 meters dash for 10.3 seconds. Therefore, the speed he used for the race can be calculated as follows:

speed = distance / time

distance = 100 meters

time = 10.3 seconds

Hence,

speed = 100 / 10.3

speed = 9.70873786408

speed = 9.71 meters per seconds

Therefore, Jesse Owen speed is 9.71 meters per seconds.

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Answer:

21 minutes or 8:21 a.m

Step-by-step explanation:

6+15=21

Answer:

The cheapest is the Kenyan tea which costs  £1.05  for each 100g.

Step-by-step explanation:

A)

200 g of Kenyan tea costs £2.10

1. Calculate the rate of each gram, by dividing 2.10/200

0.0105 x 100 =    £1.05  for each 100g

300 g of Columbian tea costs £3.45

1. Calculate the rate of each gram, by dividing 3.45/300

0.0115 x 100 =  £1.15 for each 100g

1. Calculate the rate of each gram, by dividing 1.70/150

150 g of Indian tea costs £1.70

0.01133333333 x 100 =  £1.133333333 for each 100g

B) The cheapest is the Kenyan tea which costs  £1.05  for each 100g.

Answer:

45%

Step-by-step explanation:

Answer:

x = 6, y = 5

Step-by-step explanation:

Solve the following system:

{5 y - 6 x = -11 | (equation 1)

{-11 y + 6 x = -19 | (equation 2)

Add equation 1 to equation 2:

{-(6 x) + 5 y = -11 | (equation 1)

{0 x - 6 y = -30 | (equation 2)

Divide equation 2 by -6:

{-(6 x) + 5 y = -11 | (equation 1)

{0 x + y = 5 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(6 x) + 0 y = -36 | (equation 1)

{0 x + y = 5 | (equation 2)

Divide equation 1 by -6:

{x + 0 y = 6 | (equation 1)

{0 x + y = 5 | (equation 2)

Collect results:

Answer: {x = 6, y = 5

Answer:

0 ; 2/9 ; 1

Step-by-step explanation:

In a roll of two dice ;

The sample space = (Number of faces on die)^number of dice rolled = 6^2 = 36

The total possible outcome = sample space = 36

The probability of an event (A) :

P(A) = number of required outcome / number of total possible outcomes

find the probability for total: a) 1,

P(total of 1)

Number of 1 total = 0

Hence, P(total of 1) = 0

b) 4 or 6;

Number of 4 total = 3

Number of 6 total = 5

3 /36 + 5 / 36 = 8/36 = 2/9

c) <13

P(total < 13)

Number of total < 13 = 36

36 / 36 = 1

Answer:4.16667

Step-by-step explanation: 1

Simplify —

3

Equation

0 - (— • (8 + —))

2 3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 3 as the denominator :

8 8 • 3

8 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8 • 3 + 1 25

————————— = ——

3 3

Equation at the end of step

2

:

1 25

0 - (— • ——)

2 3

STEP

3

:

1

Simplify —

2

Equation at the end of step

3

:

1 25

0 - (— • ——)

2 3

STEP

4

:

Final result :

-25

——— = -4.16667

6

Terms and topics

More Icon

Answer:25

Step-by-step explanation:

Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13