Tobin is solving the equation 3 (x minus 1.25) = 11.25. His work is shown below.

3 (x minus 1.25) = 11.25. 3 x minus 3.75 = 11.25. 3 x minus 3.75 + 3.75 = 11.25 + 3.75. 3 x = 15. 3 x times 3 = 45 times 3. x = 135.

What mistake did Tobin make?

Answers

Answer 1
he was meant to divide by 3 when the equation was 3x=15, not multiply, so he would get the answer x=5

Related Questions

the pyramid shown has a rectangular base and faces that are isosceles triangles find the total surface area to the nearest tenth

Answers

I think d is the correct answer

Answer:

I think is C.

Step-by-step explanation:

I'm so sorry if wrong!

CAN SOMEONE PLEASE HELP ME WITH THIS STATISTICS PROBLEM I DONT UNDERSTAND IT AT ALLL!!!! The mean of a normal probability distribution is 390; the standard deviation is 95. a. Μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. Μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. Μ ± 3σ of the observations lie between what two values? Lower Value Upper Value

Answers

Answer:

A.)

Lower Value = 295

Upper Value = 485

B.)

Lower Value = 200

Upper Value = 580

C.)

Lower Value = 105

Upper Value = 675

Step-by-step explanation:

Given that mean (M) = 390

Standard deviation (σ) = 95

Lower Value = mean value - number of standard deviations specified

Upper Value = mean value + number of standard deviations specified

a. Μ ± 1σ of the observations lie between what two values?

Lower Value = 390 - 1(95) = 295

Upper Value = 390 + 1(95) = 485

b. Μ ± 2σ of the observations lie between what two values?

Lower Value = 390 - 2(95) = 200

Upper Value = 390 + 2(95) = 580

c. Μ ± 3σ of the observations lie between what two values?

Lower Value = 390 - 3(95) = 105

Upper Value = 390 + 3(95) = 675

- х= -у
6x - бу = 12
I need to find if it’s a substitution or elimination equation and step by step

Answers

Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.

- х= -у.........A

6x - бу = 12.........B

Solve A for x.

-x = - y

Divide both sides by negative 1.

Doing so, we get x = y. Plug this into B.

6x - 6y = 12

6(y) - 6y = 12

The left side becomes zero.

0 = 12 is a false statement.

Answer: There is no solution to this system of

equations in two variables.

Understand?

What is the answer???????????????????????????????/

Answers

Answer:

Step-by-step explanation:

b

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer: 5 y=5

x=3

Step-by-step explanation:

Please help me im new to the site. A soda company had sales of $35,119 million in 2010 and $45,962 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. Assume that the sales followed a linear pattern.

Answers

Answer:40533.5

Step-by-step explanation:

Midpoint formula

(35113, 2010) > (X1, Y1)

(45954, 2014) > (X2, Y2)

Plug it into the midpoint formula

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how to get +1.09

get marked the brainliest

Answers

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

The cards in Kaylens' hand had a value of 2.75, but then he added five (-1.5)
cards to his hand. What is the new value of the cards in his hand?

Answers

Answer:

1.25

Step-by-step explanation:

adding a positive to a negative it would go down to 1.25

Factoring Polynomials Completely Step by step

Answers

Answer:

x(x-8)(x+8)

Step-by-step explanation:

it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes. How often do they blink at the same time?A.Every 14 minutesb.Every 24 minutesc.Every 48 minutesd.Every 2 minutes

Answers

Answer:

b. Every 24 minutes

Step-by-step explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

Find and list multiples of each time each neon sign blinks.

This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.

Please help with this assignment

Answers

Answer:

3

Step-by-step explanation:

Answer:

24 yards long

97700000000000000000000 in scientific notation

Answers

Answer:

That number is  9.77 x 10²² .

Step-by-step explanation:

Answer:

9.777 x 10^22

Step-by-step explanation:

in order to put a number in scientific notation, you have to move the invisible decimal over to the right since the number is a large number. in this case, the invisible decimal would start between 9 and 7. if you put this decimal to the right until you reach the last zero of the right, you would have move the decimal 22 spaces to the right

descending order 20,-30,4,0,-3,10​

Answers

20,10,4,0,-3,-30 is the answer in descending order

Answer:

20,10,4,0,-3,-30

Step-by-step explanation:

can someone help me please? the last point of the first graph ends on 6 ​

Answers

Answer:

a) Yes

b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.

Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:

c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.

d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.

e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.

f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.

e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.

f2) x-intercept of original function: -6

g) y-intercept of the inverse function: -6

h) x-intercept of the inverse function: 4

i) y-intercept of the original function: 4

j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.

2 pts
Question 3
Select all parts from the expression above that represents a constant term.
-4.9
-4.9t?
1.8
22
22t

Which ones are constant terms pls help

Answers

Constant terms are the terms in the expression that only contain numbers. No variable next to it.



So the constant terms here are: -4.9, 1.8, and 22.



Mark as Brainliest if it helped! :)

x^2+1=0
What are the roots of this equation?
Thanks!

Answers

x² + 1 = 0

=> (x+1)² - 2x = 0

=> x+1 = √(2x)

or x - √(2x) + 1 = 0

Now take y=√x

So, the equation changes to

y² - y√2 + 1 = 0

By quadratic formula, we get:-

y = [√2 ± √(2–4)]/2

or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]

or x = [(1 ± i)²]/2

So roots are [(1+i)²]/2 and [(1 - i)²]/2

Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation

x² + 1 = 0 back again
So it’s x=1 or x=-1

this is the answer for this question

You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.

Answers

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

PLEASE HURRY ILL GIVE BRAINLEST AND 50 POINTS FOR THE CORRECT ANSWER ASAP

Answers

Answer:

m∠W is 28°

m∠X is 24°

Step-by-step explanation:

In any triangle, the measure of an exterior angle at one vertex of a triangle equals the sum of the measures of the two interior angles opposite to this vertex

In the given figure

∵ ∠WYZ is an exterior angle of Δ XYW at vertex Y

∵ ∠W and ∠X are the interior angles of Δ XYW opposite to the vertex Y

→ Use the fact above

m∠WYZ = m∠X + m∠W

∵ m∠WYZ = 52°

∵ m∠X = 3y°

∵ m∠W = (4y - 4)°

→ Substitute them in the equation above

52 = 3y + 4y - 4

→ Add the like terms

∴ 52 = 7y - 4

→ Add 4 to both sides

∵ 52 + 4 = 7y - 4 + 4

∴ 56 = 7y

→ Divide both sides by 7

∵ [tex]\frac{56}{7}[/tex] = [tex]\frac{7y}{y}[/tex]

8 = y

→ Substitute y in the measures of ∠X and ∠W

∵ m∠X = 3(8)

m∠X = 24°

∵ m∠W = 4(8) - 4 = 32 - 4

m∠W = 28°

Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years?

Answers

Answer:

$5,460

Step-by-step explanation:

Given that :

Loan taken = principal (p) = $10,000

Simple Interest rate (r) = 9.1% = 0.091

Interest owed at the end of 6 years = t

Simple interest = (principal * rate * time)

Interest owed = 10,000 * 0.091 * 6

Interest owed = 910 * 6

Interest owed = $5,460

Triangles ABC and DEF are similar. Find e.

A.) 11
B.) 12
C.) 10
D.) 9

Answers

Answer:

C) 10

Step-by-step explanation:

The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.

Hope this helps you :)

The answer is C.10 (:

What are the domain and range of the relation given in the table?

Answers

Answer:

C

Step-by-step explanation:

all x values is domain, all y values are range

Answer:

Its c

Step-by-step explanation:

Domain = x value

Range = y value

The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points

Answers

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
hometown:8,6
san antonio:-6,-7
a. if the girls take turns driving and each girl drives the same distance,at what point should they stop from emily to begin her turn as the third driver?
b.at what point does emily's turn to drive end?

Answers

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

[tex]H(x,y) = (8,6)[/tex]

San Antonio

[tex]T(x,y) = (-6,-7)[/tex]

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)

[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]

[tex]S(x,y) = (4.5,2.75)[/tex]

Andra

[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)

[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]

[tex]A(x,y) =(1, -0.5)[/tex]

Emily

[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)

[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]

[tex]E(x,y) = (-2.5, -3.75)[/tex]

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.​

Answers

Answer:

462 fast cars please mark brainliest

Step-by-step explanation:

I need help ASAP
3k+30=95+k+2k-5

Answers

Answer:

Step-by-step explanation:

3k+30=95+k+2k-5

3k+30=100+3k

  -30   -30

3k=70+3k

-3k          -3k

k=70

What is the value of the expression below when y = 8?
2y + 7
Answer:
Submit Answer

Answers

Answer:

23

Step-by-step explanation:

we will put 8 instead of "y" in the equation

2 x 8 + 7 = 23

2(8)+7
16+7
23
Answer= 23

PLEASE PLEASE HELP ME IM ALMOST DONE WITH IT DONT BE SHY IM DYING

Answers

Answer:

Umm what did you say anyway. I did not understand.

0.79 is the probability answer. Please vote my answer brainliest! Thanks.

How to do this question plz answer ​

Answers

Answer:

θ= 39.7° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

The factory makes boxes that each hold one candle. The boxes measure 1 inch × 1 inch × 9 inches. The factory owner makes a stack of 40 candle boxes. What is the volume of the stack?

Answers

Answer:

360 inch^3

Step-by-step explanation:

Volume of 1 box = 1 x 1 x 9 = 9 inch^3

Volume of 40 boxes = 40 x 9 = 360 inch^3

This is a topic on mensuration. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Answer:

360 in

Step-by-step explanation:

L × W × H

1 × 1 ×9 = 9in

9 × 40 = 360 in

Solve for x. Round answer to the nearest tenth, if necessary

Answers

Answer:

x=15

Step-by-step explanation:

9²+12²=c²

81+144=c²

225=c²

√225=√c

15=c

The measure of the x is 15.

Given

The length of the base is 9 and the perpendicular is 12.

What is the Pythagoras theorem?

Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The length of the hypotenuse is x.

Therefore,

[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]

Hence, the measure of the x is 15.

To know more about Pythagoras theorem click the link given below.

https://brainly.com/question/343682

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For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?A) 64B) 128C) 8D) 4 Write the unit rate for distance per 1 hour. I will choose branliest which statement about nails is false? a. the toe nails cover the superior surface of each toe b. nail cover the dorsal of the last bone of each finger c. the toe nails cover the posterior surface of each toed. nails are made up of kertain Michael spent $266 on new door knobs for his entire house. Each door knob cost $14.How many door knobs did Michael buy? A. 16 door knobs B. 18 door knobs C. 19 door knobs D. 22 door knobs Question 5 of 15When MTV (Music Television) began, it featured music videos, news, andevents to appeal to which target audience?A. African AmericansB. ElderlyC. Adolescents and young adultsD. Adults 18 to 35 Solve -4t + 5 > 3t 9 for t. 4.For each equation, find a value for x that makes the equation true. Show your work on the nextpage.a.x=3 = 12b.2x + 3 = 20410C.d.- 4x = -24e.2(x 4) = 10-0.5x + 1.1 = -2.9f. How long will it take a plane to fly 1256kmif it travels 500km/hr? How does the plant lichen quicken the weathering process? Question 5 of 10Psychiatrists and psychologists often refer to a manual that details differentmental disorders. Although it is controversial, it is still used by almosteveryone. This manual is called the:A. TATB. SPT.C. DSMD. REM. This graph represents a linear relationship between x and y. Which equation best represents the relationship shown in this graph? y=35x y=53x y=53x y=35x HELP At the end of a snow storm, Eli saw there was a lot of snow on his front lawn. Thetemperature increased and the snow began to melt at a steady rate. The depth ofsnow on Eli's lawn, in inches, can be modeled by the equation S = 16 - t, where tis the time, in hours, after the snow stopped falling. What is the y-intercept of theequation and what is its interpretation in the context of the problem?The y-intercept of the function iswhich represents Sea ice is frozen ocean water, which freezes at a temperture of about -1.8 degress celsius. What is the temperture in fahrenheit use the formula F=(c) (9/5)+32 I will give you brainliest SOMEONE PLZ HELP!!!!!!!!!!! A gas has 4.99*10^27 molecules. How many moles is that? Which situation could be represented by the equation15.5 = ?A. Julie drove 15.5 miles to the grocery store. Her mother drove from the grocery store back home. What is x, the amountmiles each person drove?B. Julie drove 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the totalamount of miles traveled to the grocery store and back home?C. It is 15.5 miles to the grocery store from Julie's home. On the way to the store, she decided to take a detour whichshortened her distance by half a mile. What is x, the new distance to the grocery store including the detour?D. Julie went to a grocery store 15.5 miles away. Amanda also went to a grocery store 15.5 miles away. The grocery store washalf way in between their houses. What is x, the distance from Julie's home to the grocery store?ASAP 30 points and brainliest for best answer QUICK! 25 POINTS!Select the plural negative command that best completes the sentence._____ galletas. No comen No comes No coman No comes what is the best way to revise because i have a geography test tomorrow and i want to do well How many atoms are in 1.65 mol of potassium