A student solved z + (-0.72) = -2.5 for z using the
following steps.
Step 1: Z + (-0.72) + (-0.72) = -2.5+ (-0.72)
z = -2.5+ (-0.72)
Step 2:
Step 3:
z = -3.22
What was the student's error?

Answers

Answer 1

Answer:

Mistake in step1

Step-by-step explanation:

Given

z + (-0.72) = -2.5

Solving in steps

1. ⇒ z + (-0.72) - (-0.72) = -2.5 - (-0.72)2. ⇒ z = - (2.5 - 0.72)3. ⇒ z = - 1.78

The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72

Answer 2

Answer:

To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.

Step-by-step explanation:


Related Questions

Please Help Me
SIMPLIFY

Answers

Answer:

x+7/x+6

Step-by-step explanation:

Which is the domain of y=arctan(x)

Answers

Answer:

D. All real numbers

Step-by-step explanation:

Help me please



Order the ratios from least to greatest:

9/4; 5 to 2; 13:6; 10/3; 20:7

Use a semi-colon to separate each ordered ratio.


Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.

Answers

Answer:

To establish a ratio relation you must see the difference hence 9:4 =2.25So 2.25, 2.5, 2.11, 3.33, 2.85

From least to greatest:

13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3

Rate positively and give brainlist

Hey, i need help with this?!

Answers

Answer:

$11.43/ft squared

Step-by-step explanation:

160/14 is $11.428 which is rounded to $11.43

HOPE THIS HELPS!

Answer:

The unit rate is $11.43/ft because if you take 14 divided by 14 to get 1 foot you have to take 160 divided by 14 to get how much it costs for 1 ft. So the answer is $11.43.

Hope it helps

Un automóvil lleva una velocidad variable a lo largo de un trayecto de errática de modo que no podemos usar la fórmula v=d/t ni las fórmulas de M.U.A como se puede conocer la velocidad de este automóvil en un instante particular

Answers

Answer:

Podemos determinar la velocidad del automóvil mediante diferencias sucesivas tanto en el dominio del tiempo como en el dominio de la posición:

Dominio del tiempo

[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex]

Dominio de la posición

[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex]

Step-by-step explanation:

En este caso, es necesario tener una función que represente a esta en función del tiempo o de la posición si nos basamos en las definiciones diferenciales de aceleración ([tex]a(t)[/tex]), medida en metros por segundo al cuadrado, es:

[tex]a(t) = \frac{dv}{dt}[/tex] (1)

[tex]a(s) = v(t)\cdot \frac{dv}{ds}[/tex] (2)

Donde:

[tex]v(t)[/tex] - Velocidad del automóvil, medida en metros por segundo.

[tex]\frac{dv}{dt}[/tex] - Primera derivada de la velocidad con respecto al tiempo, medida en metros por segundo.

[tex]\frac{dv}{ds}[/tex] - Primera derivada de la velocidad con respecto a la posición, medida en [tex]\frac{1}{s}[/tex].

A continuación, analizamos cada ecuación:

Eq. 1

Procedemos a despejar la diferencial de velocidad e integramos la expresión resultante:

[tex]v_{f}-v_{o} = \int {a(t)} \, dt[/tex] (3)

[tex]v_{f} = v_{o}+\int {a(t)} \, dt[/tex]

Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:

[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex] (3b)

Eq. 2

Procedemos a despejar la velocidad e integramos la expresión resultante:

[tex]\int {v} \, dv = \int {a(t)} \, ds[/tex] (4)

[tex]\frac{1}{2}\cdot v_{f}^{2}-\frac{1}{2}\cdot v_{o}^{2} = \int {a(s)} \, ds[/tex]

[tex]\frac{1}{2}\cdot v_{f}^{2} = \frac{1}{2}\cdot v_{o}^{2}+\int {a(s)} \, ds[/tex]

[tex]v_{f}= \sqrt{v_{o}^{2}+2 \int {a(s)} \, ds }[/tex]

Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:

[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex] (4b)

What is the value of the “t” in the equation: 12t − 2(t − 5) = 60 ?

Answers

Answer:

First write the given equation

[tex]{:}\longrightarrow\tt 12t +2 (t-5)=60 [/tex]

Simplify

[tex]{:}\longrightarrow\tt 12t+2t-10=60 [/tex]

[tex]{:}\longrightarrow\tt 14t-10=60 [/tex]

[tex]{:}\longrightarrow\tt 14t=60+10 [/tex]

[tex]{:}\longrightarrow\tt 14t=70 [/tex]

[tex]{:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}[/tex]

[tex]{:}\longrightarrow\tt t=5 [/tex]

[tex]\therefore\sf t=5 [/tex]

What is an equation of the horizontal line that passes through the point (5, -7)?

Answers

Answer:

ummmm.......

Step-by-step explanation:

Please help me, TYSM !!❣

Answers

Answer:

A

Step-by-step explanation:

thats my best guess, but im not positive sorry if im wrong!

PLS HELP ASAP

Choose the (factored) form of the given equation.



6 x2 + 2 x - 8 = 0


1. (6 x - 8)( x + 1) = 0

2. (6 x + 8)( x - 1) = 0

3. (6 x + 1)( x - 8) = 0

Answers

Answer:

1,=(6x-8)(x+1)

=6x²+6x-8x-8

=6x²-2x-8

2,=(6x+8)(x-1)

=6x²-6x+8x-8

=6x²+2x-8

3,=(6x+1)(x-8)

=6x²-42x+x-8

=6x²-41x-8

Answer:

second option

Step-by-step explanation:

Expand the factors using FOIL

1

(6x - 8)(x + 1) = 0

6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8

2

(6x + 8)(x - 1) = 0

6x² + 2x - 8 = 0 ← True

3

(6x + 1)(x - 8)

= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0

Thus the factored form is

6x² + 2x - 8 = 0

(6x + 8)(x - 1) = 0 → second option

Can anybody help with this ( hope this is better)

Answers

I’m sure you’ll find some who can

PLS help me with this question

In the parking lot there are 45 total vehicles and 20 of them are small SUV's. How many small SUV's would you predict if there were 180 total cars in the parking lot?​

Answers

Answer:

80, 20 suvs in 45 vehicles, 45 is 1/4 of 180, so just multiply 20 times 4 and the answer you get is 80

PLEASE HELP ME ASAP! ANYONE THATS WILLING TO GIVE THE RIGHT ANSWER.

Answers

Answer:

The perimeter of the bedroom floor is 44 ft

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and length L, the perimeter is the sum of all four sides:

P = 2W + 2L

We know a rug of dimensions 6 ft x 10 ft is located at the center of a bedroom floor and there are 1.5 ft exposed on all four sides of the bedroom.

Adding this length to each side, we have the dimensions of the bedroom as:

6 + 1.5 + 1.5 = 9 ft

10 + 1.5 + 1.5 = 13 ft

Thus, the perimeter of the bedroom floor is:

P = 2*9 + 2*13 = 44 ft

The perimeter of the bedroom floor is 44 ft

6(x-3)+10=(3x-4) NEED HELP ASAPP
Answers
#1 no solution
#2 All real answers
#3 3
#4 2

Answers

Answer:

=4/3 or 1 and 1/3

If it is not provided in the answer then put no solution.

Step-by-step explanation:

Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.

Answers

Answer:

yes, phone companies, are only allowed to charge for the amount of data you use

Step-by-step explanation:

20 PTS PLEASE HELP ASAP!

Answers

Answer:

Slope is 1/2

Step-by-step explanation:

Use the slope formula. Say S = the 1st point and T = the 2nd point.

m = 20 - 10                    10                 1

     ------------      =      -----------    =      ---

      20 - 0                     20                2

The equation for slope is also y = mx + b

m is the slope, b is the y-intercept.

Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST

I dunno how to do the other way

When a rubber ball is dropped on a particular surface , It bounces back to 8/10 of drop height. The ball's height after bounce x is * (8/10) ^ x times its drop height . What fraction of its drop height will the ball bounce up to after its fourth bounce ? Show your work

Answers

Answer:

The fraction of its drop height after the fourth bounce is

[tex]\displaystyle \frac{16}{625}[/tex]

Step-by-step explanation:

Let's suppose the rubber ball is dropped from a height H0. Every time the ball bounces back it reaches 8/10 of the initial drop height.

The ball's height H(x) after bounce number x is:

[tex]\displaystyle H(x)=H_o\left(\frac{8}{20}\right)^x[/tex]

Simplifying:

[tex]\displaystyle H(x)=H_o\left(\frac{2}{5}\right)^x[/tex]

After the fourth bounce, the height is:

[tex]\displaystyle H(4)=H_o\left(\frac{2}{5}\right)^4[/tex]

[tex]\displaystyle H(4)=H_o\frac{2^4}{5^4}[/tex]

[tex]\displaystyle H(4)=H_o\frac{16}{625}[/tex]

The fraction of its drop height after the fourth bounce is

[tex]\mathbf{\displaystyle \frac{16}{625}}[/tex]

a. (x+2) (x2 +x+2) + 2(x3 + x2)

Answers

Answer:

3x³ + 5x² + 4x + 4

Step-by-step explanation:

Given

(x + 2)(x² + x + 2) + 2(x³ + x²)

To expand the product, each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis

= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms

= 3x³ + 5x² + 4x + 4

If b=5 and c=2 what is for the missing side a= ? by Use the Pythagorean Theorem to find

Answers

Answer:

4.58

Step-by-step explanation:

Using the formula

a^2=(c^2)-(b^2)

a^2=(5^2)-(2^2)

a^2=25-4

a^2=21

Using Square root on Both Sides

a=4.58

The answer is: 4:58

PLEASE MARK BRAINLIEST

A student buys a guitar that is on sale for 15% off the regular price of $200. He also must pay an 8% sales tax. What is his total cost for the guitar?

ASNWER CHOICES

$176.80

$178.00

$183.60

$186.00

Answers

Answer:

option c

Step-by-step explanation:

a guitar 15% off means that the cost is now 85%

[tex]100percent---200dollars\\85percent---x\:dollars\\\\x=\frac{200*85}{100}\\\\x=2*85\\\\x=170[/tex]

now the 8% of 170 is

[tex]100\:percent---170\:dollars\\\\8\:percent---x\:dollars[/tex]

[tex]x=\frac{8*170}{100}\\\\x=\frac{8*17}{10}\\\\x=13.6[/tex]

so the total cost is

170+13.6

183.6

what is the prime factorization for 42

Answers

Answer:

2x3x7

Step-by-step explanation:

Need Help ASAP

Nora is 12 years away from being a century old. How old is Nora?

Answers

Answer:

88 years old

Step-by-step explanation:

A century is 100 years.

100 - 12 = 88

Natasha is growing a plant for a science project. On monday she measured the plant and found it was 2 1/8 inches tall. On Wedensday she measured the plant and found it was 3 2/8 inches tall. Natasha told her teacher that her plant is 5 3/8 inches from monday to Wednesday

Answers

Answer:

Step-by-step explanation:

she is correct?

2 1/8+3 2/8= 5 3/8

help, please I would appreciate it.

Answers

At firt we should solve what is h(0)
h(0)=0^2+2
h(0)=2
So then you should take the h(0) answer to g(x) and the result is g(2)= -2-5=-7

What is the percentage change ? 54 decreased to 32?

Answers

Answer:

21

Step-by-step explanation:

What is the highest common factor of 4xy ,12x2y

Answers

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

Which value of w is the solution to the question? 2w-5=w+10

Answers

Answer:

w = 15

Step-by-step explanation:

2w - w = 10+5

w = 15

simple!

Pls help. question is in the picture above

Answers

Answer:

15 meters

Step-by-step explanation:

Because angle BFD and angle DFC are supplementary (they form a 180 degree angle, as you can see from the fact that they both form a straight line) and angle BFD is 90 degrees, angle DFC must also be 90 degrees. Since it is 90 degrees, you can use the Pythagorean theorem to solve for DF as a part of triangle DFC=> 8^2(x^2)=17^2.

=>64(x^2)=289

subtract 64 from both sides=> x^2=225

take the square root of both sides=> x=15

Since triangles BED and BFD are equal by way of angle-side-angle, we know that all of their corresponding sides and angles are equal, and therefore, DF=DE, so DE=15 meters

3^38 - 3^37 =2/3^x
answer

Answers

Step-by-step explanation:

3³⁸ - 3³⁷

= 3³⁷(3 - 1)

= 2 * 3³⁷

= 2 / [3^(-37)].

Hence x = -37.


Help need in 29 minutes

Answers

Answer:

d)

c)

Step-by-step explanation:

any more help just ask :)

HELP AGAINNNNNNNNNPLSPLS

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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