Mai and Tyler work on the equation 2/5b+1=-11 together. Mais soulution is b=-25 and Tyler’s is b=-28. Here is their work. Do you agree with their solutions? Explain or show your reasoning.

Mai’s work : Tyler’s work:
2/5b+1=-11 2/5+1=-11
2/5b=-10. 2b+1=-55
B=-10•5/2. 2b=-56
B=-25. B=-28

PLEASE HELLP ME

Answers

Answer 1

Answer:

No I don't agree with their solution; both their answers are wrong.

Correct answer is [tex]b=-30[/tex].

Step-by-step explanation:

Given:

[tex]\frac{2}{5}b+1=-11[/tex]

Now given:

According to Mai [tex]b = -25[/tex] and According to Tyler [tex]b = -28[/tex]

Now we need to find which of them is correct.

So we will solve the given equation we get;

[tex]\frac{2}{5}b+1=-11[/tex]

Subtracting both side by 1 we get;

[tex]\frac{2}{5}b+1-1=-11-1\\\\\frac{2}{5}b =-12[/tex]

Now Multiplying both side [tex]\frac{5}{2}[/tex] we get;

[tex]\frac{2}{5}b\times\frac{5}{2}= -12 \times \frac{5}{2}\\\\b=-6\times 5\\\\b=-30[/tex]

Hence both of them are incorrect, correct answer is [tex]b=-30[/tex].

Answer 2
Final answer:

Both Mai's and Tyler's solutions are incorrect. Mai's solution is incorrect as the correct solution to b is -30, not -25. Tyler's work has several typos that lead to an incorrect solution. To correctly solve the equation, you should subtract 1 from both sides to get 2/5b = -12, then multiply by the reciprocal of 2/5 which gives b = -30.

Explanation:

The original equation presented is 2/5b + 1 = -11. Let's verify both Mai's and Tyler's solutions:

Mai's work: In her work, she correctly subtracts 1 from both sides of the equation to isolate the term with b, which gives 2/5b = -12. Multiplying both sides by the reciprocal of 2/5 (which is 5/2) indeed gives b = -30, not b = -25. So, Mai's solution is incorrect.Tyler's work: Tyler's work has significant typos that prevent it from being a correct solution. He reformulated the equation to 2b + 1 = -55 which isn't equivalent to the original equation. So, Tyler's solution is incorrect as well.

The correct procedure should be: Subtract 1 from both sides of the equation to get 2/5b = -12. Then multiply both sides by 5/2 to solve for b, which gives a correct solution of b = -30.

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Related Questions

What is the constant of proportionality in the equation y = 3x?
constant of proportionality

Answers

Answer:

Step-by-step explanation:

y = mx + b

in this form, the constant of proportionality is also known as the slope....and it can be found in the m position

y = 3x.....is actually y = 3x + 0....so the slope (constant of proportionality is gonna be 3

Answer:

the constant proportionality it gonna be 3

Step-by-step explanation:

the starting equation is y=mx+b

plug in the numbers and get your answer

my photo math said it is x = 0 lol

3(x-2)=5x+8 ; solve for x

Answers

Answer:

see attached picture please

Answer:

3x² -- 5x -- 8

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

c

=

3

8

=

24

and whose sum is

b

=

5

.

Tap for fewer steps...

Factor

5

out of

5

x

.

3

x

2

5

(

x

)

8

Rewrite

5

as

8

plus

3

3

x

2

+

(

8

+

3

)

x

8

Apply the distributive property.

3

x

2

8

x

+

3

x

8

Factor out the greatest common factor from each group.

x

(

3

x

8

)

+

1

(

3

x

8

)

Factor the polynomial by factoring out the greatest common factor,

3

x

8

.

(

3

x

8

)

(

x

+

1

)


Write as an equation: The product of 4 and s is 25

• A. 4+ s= 25
• B.4 x 25 = s
• C.4+ 25 = s
• D.4 x s= 25

Answers

It would be D because if it’s the product that means times so 4xs=25
D.4 x s= 25
Product means multiply so only B and D are left.
‘is’ means equals.

Rachel has 3 times as many roses as carnations. She has 12 fewer carnations than daisies. There are 15 daisies. How many flowers does Rachel have in all

Answers

Answer:

27 flowers

Step-by-step explanation:

Let

x ----> the number of roses

y ----> the number of carnations

z ----> the number of daisies

we know that

[tex]x=3y[/tex] ----> equation A

[tex]y=z-12[/tex] -----> equation B

[tex]z=15[/tex] -----> equation C

substitute the value of z in equation B

[tex]y=15-12=3[/tex]

substitute the value of y in equation A

[tex]x=3(3)=9[/tex]

so

Rachel have 9 roses, 3 carnations and 15 daisies

In total

9+3+15=27 flowers

Rachel has 15 daisies, 3 carnations, and 9 roses, giving her a total of 27 flowers.

Let's break down the information provided:

Rachel has 3 times as many roses as carnations.She has 12 fewer carnations than daisies.There are 15 daisies.

Step-by-Step Solution:

1. Start with the number of daisies: 15 daisies.

2. Rachel has 12 fewer carnations than daisies:
    15 daisies - 12 = 3 carnations.

3. Rachel has 3 times as many roses as carnations:
    3 carnations * 3 = 9 roses.

4. Add up all the flowers she has:
    15 daisies + 3 carnations + 9 roses = 27 flowers in total.

Therefore, Rachel has a total of 27 flowers.

a number c increased 6 by is less than or equal to -26

Answers

Answer:

c ≤ - 32

Step-by-step explanation:

It will be less than or equal to - 26 if a number c is increased by 6.

Now, we have to solve the inequality for c.

The inequality is, c + 6 ≤ - 26

⇒ c + 6 - 6 ≤ - 26 - 6 {Subtracting 6 from both the sides}

c ≤ - 32

Therefore, the solution of the inequality is that c is less than or equal to - 32. (Answer)

(a) Write 389% as a decimal.
(b) Write 0.005 as a percentage.

Answers

Answer:

a)3.89 b)0.5%

Step-by-step explanation:

389%= 389/100

0.005*100%

=0.5%

BRAINLIEST AND 50 PTS HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Damian rides his bike 38 miles each week for 15 weeks.

How many total miles does he ride in 15 weeks?

Enter your answer in the box.

____ miles

Answers

Answer:

570 miles in 15 weeks

Step-by-step explanation:

trust me

Answer:

570

Step-by-step explanation:

because 38 miles x 15 weeks is 570 miles

The sum of 2 consecutive odd integers is 92. Find the numbers.
If x represents the smaller integer, then the larger integer is

Answers

Answer: If x is odd then x + 2 is going to be the next odd integer

Step-by-step explanation:

Set up the equation and solve.

x + x + 2 = 92 This is the equation. Collect like terms.

2x + 2 = 92 Subtract 2

2x = 90 divide by 2

x =45

x + 2 = 47

45 + 47 = 92.  

So x + 2 is the next odd number after x.

Answer:

x + 2

Step-by-step explanation:

A nurse must mix a 20% solution of medication in an existing container of water. The container currently holds 12 ounces of water how many ounces of medication should the nurse add to make the proper solution?

Answers

Answer:

3 ounces of medication to be added to get 20%solution of medication

Step-by-step explanation:

To find:

The amount of medication to be added to 12 ounces of water to get a 20% solution

Let the amount of medication to be added =x

So total amount of mixture = amount of water + amount of medication

= 12+x

% medication =  (amount of medication÷total amount of the mixture)× 100

Therefore

% medication =(  x÷12+x)×100

20 =(  x÷12+x)×100

[tex]20 =\frac{x}{12+x}[/tex] X 100

20(12+x) =100x

240+20x =100x

100x-20x =240

80x =240

x =240÷80

x=3

so 3 ounces of medication to be added to get 20%solution of medication

Find the value (1.2) power 3

Answers

Answer:

1.728 is the correct answer

The ratio of the price of a tv to the price of a computer is 13:15 if the tv 400 dollars cheaper than the computer, how much does the computer cost.

Answers

The computer cost is $3000

Step-by-step explanation:

The given is:

The ratio of the price of a tv to the price of a computer is 13 : 15The tv 400 dollars cheaper than the computer

We need to find the cost of the computer

Assume that the price of the computer is $x

∵ The ratio between the prices of the tv and the computer is 13 : 15

∵ The price of the computer is $x

∵ The price of the tv 400 dollars cheaper than the computer

- That means the price of the tv is less than the price of the

  computer by $400

∴ The price of the tv is $(x - 400)

By using the ratio method

→  tv              :    computer

→  13              :    15

→  (x - 400)   :    x

By using the cross multiplication

∴ 15(x - 400) = 13(x)

- Simplify the left hand side

∴ 15x - 6000 = 13x

- Add 6000 to both sides

∴ 15x = 13x + 6000

- Subtract 13x from both sides

∴ 2x = 6000

- Divide both sides by 2

x = 3000

The computer cost is $3000

Learn more:

You can learn more about the ratio in brainly.com/question/4847829

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Help giving brainliest

Answers

Answer:

i think 2m

Step-by-step explanation:

3 plus 3 is 6 minus 8

Help me please I need to know the answer to this question in under an hour :-)

Answers

Answer:

7/15

Step-by-step explanation:

You can put in your graphing calculator if you have one

Answer:

Step-by-step explanation:

Determine whether a triangle with the given side lengths is a right triangle,
Side lengths
Right triangle
Not a right
triangle
Not enough
information
7, 24, 25
12, 16, 20
18. 32.40
4,7,8

Answers

Final answer:

To determine whether a triangle with given side lengths is a right triangle, we can use the Pythagorean theorem. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Explanation:

To determine whether a triangle with given side lengths is a right triangle, we can use the Pythagorean theorem. According to the theorem, if the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse), then the triangle is a right triangle.

For the side lengths 7, 24, 25, we have 7² + 24² = 49 + 576 = 625, which is equal to 25². Therefore, this triangle is a right triangle.For the side lengths 12, 16, 20, we have 12² + 16² = 144 + 256 = 400, which is not equal to 20². Therefore, this triangle is not a right triangle.For the side lengths 18, 32, 40, we have 18² + 32² = 324 + 1024 = 1348, which is not equal to 40². Therefore, this triangle is not a right triangle.For the side lengths 4, 7, 8, we have 4² + 7² = 16 + 49 = 65, which is not equal to 8². Therefore, this triangle is not a right triangle.

Write the following quadratic in standard form. Then identify a, b, and c.
y² - 7y + 6 = -6

Answers

Answer:

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

Step-by-step explanation:

Given:

[tex]y^{2}-7y+6=-6[/tex]

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

[tex]y^{2}-7y+6=-6[/tex]

Adding 6 on both the side we get

[tex]y^{2}-7y+6+6=-6+6[/tex]

[tex]y^{2}-7y+12=0[/tex]

Which is Quadratic Equation in STANDARD form Where,

[tex]a=1\\b=-7\\c=12[/tex]

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

If y = 2x2 – 4x, what is the value of y when x equals 5.
A.10
B.30
C.80
D.480

Answers

Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

A.W.E.S.W.A.N.

James is planning on driving his car to the family reunion. The distance to the
meeting place is 892 miles. If his car gets 29 mpg, how many gallons of gas
will he need?
A. 42.7
O B. 38.9
O C. 36.1
O D. 30.8

Answers

Answer:

"D" (and any subsequent words)

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

36(1/3)^n-1 first five term of the sequence

Answers

Answer:

Step-by-step explanation:

first term:  put n = 1

36(1/3)^n-1 = 36(1/3)^1-1 =12 - 1 = 11

2nd term:  put n = 2

36(1/3)^n-1 = 36(1/3)^2-1 = 19.784

3rd term:  put n = 3

36(1/3)^n-1 = 36(1/3)^3-1 = 0.3333

4th term:  put n = 4

36(1/3)^n-1 = 36(1/3)^4-1 = -0.5555

5th term:  put n = 5

36(1/3)^n-1 = 36(1/3)^5-1 =-0.85185

Tully ran 7\10 mile and Maggie ran 3\5 mile who ran farther explain​

Answers

Answer:

Tully ran farther

Step-by-step explanation:

tully     maggie

7/10   |   3/5

find the LCD. the LCD is 10.

7/10   |     3x2/5x2

7/10   |      6/10

Find the slope and the equation for the line passing through the point (−5,−0.75)(−5,−0.75) with x-intercept at x=−6

Answers

Answer:

Slope is -0.75

Step-by-step explanation:

When calculating slope you can use the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex] to find the slope. In this case that formula is using the 2 points (-5, -0.75) and (-6, 0). When those points are put in the equation becomes [tex]\frac{0+0.75}{-6+5}=\frac{0.75}{-1}=-0.75[/tex]. This means that the slope is -0.75.

A model of an airplane has a length of 2.5 feet. If the scale used to create the model was 1 foot = 250 feet, what is the actual length of the airplane?

Answers

Answer:

Step-by-step explanation:

1 ft = 250 feet....so 2.5 ft = (2.5 * 250) = 625 feet <==

The actual length of airplane using the scale factor is; 625 feet.

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

We are given that;

Length of Airplane = 2.5 feet

Now, we want to find the actual length of the airplane with a scaled length of 2.5 feet.

1 foot = 250 feet,

Thus, the actual length of airplane= (2.5 x 250)

the actual length of airplane= 625 ft

Hence, The actual length of airplane using the scale factor is; 625 feet.

Read more about Scale Models at;

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????????????????????????

Answers

Answer:

Step-by-step explanation:

P(7) = No.of possibilities for getting 7/Total outcomes

=1/8

Answer:

1/8

Step-by-step explanation:

there is 8 "slices" and 1 7

A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
Which rule describes the x-coordinates in the translation?x+0
x+6
x-6
x+4

Answers

Answer:

x+6

Step-by-step explanation:

just took it on edge

x-6 is the rule which describes the x-coordinates in the translation  

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.

In the given graph B is the image and A is the preimage.

The image B is shifted to left by six units.

x-6 is the rule which describes the x-coordinates in the translation  

Hence,  x-6 is the rule which describes the x-coordinates in the translation  

To learn more on Graph click:

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What is the probability that she draws a card less than 5

Answers

Answer:

Number of favourable outcomes i.e. ‘a card of diamond’ is 13 out of 52 cards. Therefore, probability of getting ‘a card of diamond’ Number of favorable outcomes P(D) = Total number of possible outcome = 13/52 = 1/4 (v) a king or a queen. Total number of king is 4 out of 52 cards. Total number of queen is 4 out of 52 cards

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

16/52 = 4/13

guy is pouring a new patio for his house.
He rents a concrete mixer for $50 per day plus $12.50 per hour. If he is charged $143.75, how long did guy have the concrete mixer?

Answers

Answer:

Step-by-step explanation:

50 + 12.50h = 143.75....where h = # of hrs

12.50h = 143.75 - 50

12.50h = 93.75

h = 93.75 / 12.50

h = 7.5 (or 7 1/2) hrs <====

The graph shows the number of hours per day spent on social media by a group of teenagers and the number of hours per day spent exercising. A line of best fit for the data is shown.

A scatterplot is shown in the xy-plane. The horizontal axis is labeled as Social Media Hours Per Day and the vertical axis is labeled as Exercising Hours Per Day. The values on the horizontal axis range from 0 to 1.6 in increments of 0.2 and the values on the y-axis range from 0 to 2 in increments of 0.2. The line of best fit intersects the x-axis at a point just to the left of 1 decimal point 4 and y-axis at a point just below 1.1. Majority of the data points are concentrated between 0.3 and 0.6 on the horizontal axis and 0.6 and 0.9 on the vertical axis and two points are marked on the line.

Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 0.25 hours on social media.
Use the graph to determine how many hours a teenager would spend exercising in one day if they spent 1.38 hours on social media.
Do you think the predictions from part (a) and part (b) are reliable? Explain your reasoning.​

Answers

a)Exercise hour per day is 0.903

b) Exercise hour per day is 0.01573

c) The predicted values are closer to given data points.

What line of best fit?

The line of best fit is a straight line that minimizes the sum of squared differences between observed and predicted values.

From the graph we can find the line equation.

Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

a) If 0.25 hours were spent on social media per day.

0.25/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day = (1 - (0.25/1.4))*1.1

Exercise hour per day = 0.8215*1.1

= 0.903

b) Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

Given that 1.38 hours were spent on social media

1.38/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day/1.1 = 1 -(1.38/1.4))

Exercise hour per day = 0.0143*1.1

= 0.01573

c) The predictions from a) and b) are correct because the line almost fits the data points. The line on the data point is minimum error. The line gives the estimated values not the actual values. The predicted values are closer to given data points.

Complete question

Consecutive odd integers of 201

Answers

Question :

The sum of three consecutive odd integers is 201. Find the integers.

Answer:

The Integers are 65,67,69.

Step-by-step explanation:

Let x be any number. when it is multiplied by 2 it becomes an even number.

So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number

so

First odd number be 2x+1

Second  odd number be 2x+3

Third odd number be  2x+5

Now the sum of these three odd number gives 210,

That is

(2x+1) +(2x+3) +(2x+5) = 201

2x+1+2x+3+2x+5 =201

6x + 9 = 201

6x = 201- 9

6x = 192

[tex]x =\frac{192}{6}[/tex]

x = 32

Hence

The first odd number is  (2x+1) = (2(32)+1) = 64+1 =65

The second odd number is  (2x+3) = (2(32)+3) = 64+3 =67

The third  odd number is  (2x+1) = (2(32)+5) = 64+5 =69

What is the length of a rectangle when the length of the rectangle is 2(x+1) meters and the perimeter is 60 meters

Answers

The width of a rectangle(b) = 2(14 - x)

Step-by-step explanation:

Given,

The length of a rectangle(l) = 2(x + 1) meters and  

The perimeter of a rectangle = 60 meters

To find, the width of a rectangle(b) = ?

We know that,

The perimeter of a rectangle = 2(l + b)

⇒  2(2(x + 1) + b) = 60

⇒  2(x + 1) + b =[tex]\dfrac{60}{2} =30[/tex]

⇒ b = 30 - 2(x + 1)

⇒ b = 30 - 2x - 2

⇒ b = 28 - 2x

⇒ b = 2(14 - x)

∴ The width of a rectangle(b) = 2(14 - x)

Hence, the width of a rectangle(b) = 2(14 - x)

-10 + 5b = -35...I want to know the answer to this question pls...or else I will fail the 3rd quarter

Answers

Answer:

-5

Step-by-step explanation:

-10+5b=-35

5b=-35-(-10)

5b=-35+10

5b=-25

b=-25/5

b=-5

-* + 10.8 is: irrational or rational

Answers

Answer:

RATIONAL

Step-by-step explanation:

Irrational Numbers. All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point

Answer:

irrational

Step-by-step explanation:

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