Steve solved the equation 8(2x + 7) = 6(x - 7) - 2 as shown below.

Unfortunately, Steve did make an error.
Which step shows Steve's error?
Type in your answer as just the number, i.e. 5
Them show the correct steps for solving this problem. Show your work.

Answer:

-a + 40 = 28, a = 12

Step-by-step explanation:

If he takes the opposite of his age, that means the current number is negative. We can get -a + 40 = 28, we can then simplify by subtracting both sides by 40 and getting -a = -12 which is equal to a = 12

Answer:

These two figures are not congruent.

Step-by-step explanation:

The definition of congruence is, "In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.", now knowing this we next take a look at the figures.

Coordinates (A, E) do not match up with the bottom figures (P, T). The next coordinates (E, D) also don't match up with coordinates (T, S). Coordinates (A, B) and (P, Q) don't match up together either. (B, O), (Q, R), (O, D), or (R, S) also do not match up if you look closely at them. Now you can conclude that although these two figures may look alike at first glance, their points are put in different places showing that they aren't the same in shape and size; meaning they are not congruent.

Two figures are congruent if their dimensions are equal

ABCDE = PQRST therefore, ABCDE ≅ PQRST, by the definition of congruency

Reason:

The coordinates of pentagon ABCDE are;

A(-2, 8), E(4, 8), D(6, 2), C(-2, 2), B(-4, 6)

The coordinates of pentagon PQRST are;

P(-3, 0), T(3, 0), S(5, -6), R(-3, -6), Q(-5, -2)

By performing the vector translation of [tex]\dbinom {1}{8}[/tex], to PQRST, we have;

P(-3 + 1, 0 + 8) = (-2, 8) = Coordinates of A

T(3 + 1, 0 + 8) = (4, 8) = Coordinates of E

S(5 + 1, -6 + 8) = (6, 2) = = Coordinates of D

R(-3 + 1, -6 + 8) = (-2, 2) = = Coordinates of C

Q(-5 + 1, -2 + 8) = (-4, 6) = = Coordinates of B

Given that a translation is a rigid transformation and  that by performing a translation transformation of [tex]\dbinom {1}{8}[/tex], on PQRST gives ABCDE, we have that the dimensions of the pentagon ABCDE = The dimensions of the pentagon PQRST, we have;

ABCDE = PQRST

Therefore;

ABCDE ≅ PQRST, by the definition of congruency

Learn more about congruency here:

https://brainly.com/question/13575454

Answer:

7.6

Step-by-step explanation:

From the graph, we know the lengths of two legs.

  a = 3

  b = 7

Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember,  a^2 + b^2 = c^2)

c = √a2 + √b2  

= √(7)2 + √(3)2

= √49 + √9

= √58

= 7.6

Answer:7.6

Step-by-step explanation:

Answer:

-4875

Step-by-step explanation:

and hello

Answer: y=0.5x+6

Step-by-step explanation:

each time x moves 1 the point moves 0.5 vertically so

4, -4

3, -4.5

2, -5

1, -5.5

0, 6

Answer:

y=0.5x+6

Step-by-step explanation:

Answer:

The correct answer is C. 6x = 500.

Step-by-step explanation:

In this expression, the "x" represents how many dollars he needs to save every month. Or in other words, the amount of money he earns a month multiplied by the amount of months should equal 500 in order for Parvinder to be able to go on his trip.

Therefore, the correct answer is C. 6x = 500.

Hope this helps! :D

Answer:

22.25 or 22

Step-by-step explanation:

360-276+=84

4x-5=84

4x=89

x=22.25 or 22

Answer:

answer is 11. Got this pic from the internet btw.

Step-by-step explanation:

If you were to search this question up, which I’m sure you did, you would find that in the images portion, there’s an image where it shows the same question but with multiple choice answers. Among these choices is 11.

Answer:

What can you say about a straight line with an undefined gradient. ... Rearrange it into the form y=mx+c then read off the gradient. ... What does it mean if 3 points are said to be collinear?  For the recurrence relation Un+1=aUn+b what is the condition for a limit to  If f(g(x))=x what can we say about the functions f and g

Step-by-step explanation:

Answer:

{-5,15}

Step-by-step explanation:

because this function is constantly decreasing, we can get our range by looking at the endpoints:

f(-5) = 15

f(5) = -5

The answer is A: Town

9514 1404 393

Answer:

  B. 2 in

Step-by-step explanation:

The lengths are proportional, so you have ...

  blueprint length / room length = (1/5 in)/(3 ft) = (x in)/(30 ft)

Multiplying by 30 ft gives ...

  x in = (1/5 in)(30/3) = 10/5 in = 2 in . . . . . note that units of ft cancel

The blueprint length of the room is 2 inches.

__

Comment on "convert the fraction"

As a general rule, you can work math problems with the numbers in any convenient form: fractions, decimals, scientific notation, percentages. Your calculator or your mental arithmetic methods may prefer one form over another, but conversion isn't always necessary.

Answer:

What.

Step-by-step explanation:

WHAT.!?

the 4 ordered pairs for the given proportional relation are (1, 7), (2, 14), (3, 21), (4, 28).

Here we know that the sloth travels about 7 feet every minute, then we can define the speed as:

S = 7 ft/min

Now remember the relation:

distance = speed*time

Then the proportional relation is:

D = 7*t

The ordered pairs are of the form (t, D)

if t = 1.

D = 7*1 = 7

if t = 2

D = 7*2 = 14

if t = 3

D = 7*3 = 21

if t = 4

D = 7*4 = 28

Then the 4 ordered pairs are (1, 7), (2, 14), (3, 21), (4, 28).

If you want to learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

Answer:

$23.92

Step-by-step explanation:

35% of 40 is 14. 40-14=26. 8% of 26 is 2.08. 26-2.08=23.92

Answer:

5184

Step-by-step explanation:

9 squared is 81 (9 x 9)

8 squared is 64 (8 x 8)

64 x 81 is 5184

Step-by-step explanation:

2s + b = 23.6

s + 4 = b

s = b - 4

2b - 8 + b = 23.6

3b = 31.6

b = 31.6 / 3 = 10.53333333(etc.) which is approx. 10.53

s = 6.53

Answer:

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

Step-by-step explanation:

The coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).

Let the coordinates of point B are (x, y).

According to the give question.

The midpoint of AB is M(4, 0).

The coordinates of A are (3, 1).

Therefore, the coordinates of points B are given by

(4, 0)  = ( (3 + x)/2,  (1 + y)/2)

⇒ (3 + x)/2 = 4, and (1 + y)/2  = 0

⇒ 3 + x = 8 and 1 + y = 0

⇒ x = 8 - 3   and   y = -1

⇒ x = 5 and y = -1

Hence, the coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).

Find out more inoformation about midpoint here:

https://brainly.com/question/4728902

#SPJ1

Answer:

question 1 answer:

nth term is =7n+6

9th term means n=9

So the 9th term is =7*9+6=63+6= 69.

question 2 answer: 2−4+3

mark me the brainliest please

:)

Answer:

As repetition is not allowed,

For first digit selection, we have 8 choices.

for second digit selection 7 choices.

Similarly, 6 choices for 3rd digit, 5 choices for 4th digit and 4 choices for 5th digit.

Hence, total choices 8*7*6*5*4 = 6720

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

2.25x+15=9.5x+0.5

15-0.5=9.5x-2.25x

14.5=7.25x

x=14.5

7.25

x=2

hope it helps.

Answer:

3

Step-by-step explanation:

You might just think that I subtracted but on the triangle the last side is the base which is always smaller.

Answer: The answers are 4, 8, 10

To solve, you must use the Triangle Inequality Rule -

Subtract 7-4=3; therefore, the 3rd side must be greater than 3

Add 7+4=11; therefore, the 3rd side must also be less than 11

Any number greater than 3 or less than 11 would be correct.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(x-2) (x+6)

Step-by-step explanation:

If it is written like this:

[tex]x^{2} +4x + 3 = 15[/tex]

To focus on the equation on the left rewrite the equation equal to the value of zero.

(x-2) (x +6) = 0

The answer is (x-2) (x+6)

Answer:

C.) 3a + 2c

Step-by-step explanation:

$3 per adult (a)

$3(a)

     +

$2 per child (c)

$2(c)

Answer:

C. 3a+2c

Step-by-step explanation:

It is 3 $ for a adult hence the 3a and 2$ for a child hence 2c

Answer: 12/36 and simplified would be 1/3

Step-by-step explanation:

12 - hard boiled eggs

——

36 - scrambled

Divide them by 12 and you get a simplified fraction

Answer:

30

Step-by-step explanation:

b/c mean is average by another word

55 + 65 = 120

120\2 = 60

Answer:

y = [tex]\frac{3}{2}[/tex]x + 2

Step-by-step explanation:

Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.

The y-intercept is the point where the line intersects the y- axis.

y = mx + 2

The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex]       Two points from the line: (0,2) (4,8)

[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

y = [tex]\frac{3}{2}[/tex]x + 2

Answer:

1) 17.6    2) 1760%     3) 12.6

Step-by-step explanation:

give me brainlist

The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the function:

f(x) = 15(0.85)ˣ

a) The initial height of the bouncing ball is 15 feet

b) The percent rate of change = 0.85 - 1 = -0.15 = -15%

c) After 5 s, x = 5:

f(5) = 15(0.85)⁵ = 6.66 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

One of the solutions of the given equation y = 5x is (2,10)

The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.

If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.

The given equation is: y = 5x

For option (-2,10), substitute x = -2 and y = 10 into the equation:

10 = 5 . (-2)

10 = -10 (False)

Hence (-2,10) is not a solution.

For option (-5, 25), substitute x = -5 and y = 25 into the equation:

25 = 5 . (-5)

25 = -25 (False)

Hence (-5, 25) is not a solution.

For option (-3, 15), substitute x = -3 and y = 15 into the equation:

15 = 5 . (-3)

15 = -15 (False)

Hence (-3, 15) is not a solution.

There is no options in the problem that gives the correct equality. Looks like there is a typo.

Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:

10 = 5 . (2)

10 = 10 (True)

Hence (2, 10) is a solution.

Learn more about the the solution of equations here:

https://brainly.com/question/27090717

#SPJ4