To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *

Answer: Alex has $77 more than Amy

Explanation:

Draw a vertical number line. Plot -28 and 45 on this number line. Also, plot the number 0. Note the distance from -28 to 0 is 28 units. Then from 0 to 45 is another 45 units.

Overall, the distance is 28+45 = 77 units. This is the distance between the points -28 and 45 on the number line. It indicates Alex has $77 more compared to Amy. Effectively, Amy has $0 right now, but she's in debt $28. If we ignored the debt temporarily, then Alex has $45 more compared to Amy's balance of $0. Then we tack on the debt of 28 to bump to $77.

Another way to see this is to consider that Amy somehow gets $28. That 28 dollars is then immediately paid back to bring the balance back to $0. Then we'll tack on the $45 to get to 45+28 = 77.

Answer:

4 hours

Step-by-step explanation:

1 hour x 3 = 3 hours

So Brian spent 3 hours assembling and painting the plane

However the question asks for the total time, so we would do:

1 hour + 3 hours to get 4 hours

So in total, Brian spent 4 hours carving, assembling and painting the plane

Hope this makes sense.

Answer:

3.2

Step-by-step explanation:

Answer:

With the context you gave the awnser would be m≠5n

Step-by-step explanation:

Answer:

Option D is the correct answer. The last one.

Hope it helps you...

Please mark as brainlliest!!!

Answer:

x=104

Step-by-step explanation:

In case you didn't know, "m || n" means that line "m" is parallel to line "n".

Line "t" crosses over lines "m" and "n". Since "m" and "n" are parallel, the angles of Line "t" are the same on either line. The angle measuring 104° is what's known as an exterior angle. In the image shown, B and G have the same measurement and so does A and H. Therefore, Angle "x" measure 104°.

Answer:

3: 55 degrees

4: 128 degrees

Step-by-step explanation:

A straight line is 180 degrees and so you do 180-125 to get 55 degrees

180-58 is 128 degrees

Step-by-step explanation:

From the table of values, it is clear that Alana chose the points (2,4) and (6,6). She also used this formula to find the slope:⤵⤵⤵

(sorry if it's a bit small btw)

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

She plugged in her values like so:

[tex] \frac{6 - 2}{6 - 4} [/tex]

But, right away we can tell that she put the values in the wrong places, because the y-values are supposed to be on top while the x-values are supposed to be on the bottom. Yet in this case, you can see that the 2 is an x-value, meaning she put it on the top, and thus the slope is wrong.

The correct way would be if she switched them around, where the y-values are on top and the x-values are on the bottom. With this in mind, the slope would actually be 2/4 which if you simplify it, it would be 1/2.

This is essentially your answer, feel free to use some of my words, if need.

Hope this helps :)

Hello mashiamcphee141!

Let's solve for x in the given question.

[tex]\sf\:\frac { x + 3 } { 2 } + \frac { 2 x } { 7 } = 7\\\sf\:7\left(x+3\right)+2\times 2x=98 \\\sf\:7x+21+2\times 2x=98 \\\sf\:11x+21=98 \\\sf\:11x=98-21 \\\sf\:11x=77 \\\sf\:x=\frac{77}{11} \\\boxed{\sf\:x=7 }[/tex]

Steps :-

See the attachment if the working is not clear.

____________

[tex]\mathfrak{Lucazz}[/tex]

Given that:

[{(x+3)/2} + (2x/7)] = 7

Take the LCM of 2 and 7 is 14.

⇛[{7(x+3)+2(2x)}/14] = 7

⇛[{7x+21 + 4x}/14] = 7

⇛[{11x+21}/14] = 7/1

Now,

By using cross multiplication method,we get

⇛1(11x+21) = 7(14)

⇛11x + 21 = 58

⇛11x = 58-21

⇛11x = 37

∴ x = 37/11

Hence, the value of x will be 37/11 respectively.

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Solve the equation- [tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex] He…

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Answer:

No

Step-by-step explanation:

Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.

[tex] \: [/tex]

the right answer is

Step-by-step explanation:

[tex]24x - 18[/tex]

[tex] = 6(4x - 3)[/tex]

[tex] \: [/tex]

Answer:

Step-by-step explanation:

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

Answer: The number is 57

Step-by-step explanation:

Lemme tell you , We dont know the number , so we imagine it as x

so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .

So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.

So write the lcm of 3 and 7 and then cross multiply , and subtract . you get      

x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .

Answer:

it now has 851 games left

Step-by-step explanation:

Answer:

PQ≅ST; QR ≅TW; PR ≅SW

Step-by-step explanation:

Answer:

It's a matter of opinion. In my opinion you can hypothesize all you want, when  you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.

Step-by-step explanation:

Answer:

8m-16 =16

8m=16+16

8m =32

m=32/8

m=4

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY

Answer:

if we let admission fee per child to be a and the rental fee for the skates  to be s.

Then john 6a + 5s =32

Juanita     7a + 5s = 35.25

Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.

        6a + 5s = 32

        7a + 5s = 35.25

we get -a + 0s = -3.25     therefore a= 3.25

Then we can solve for s by substituting a in either of the two equations

 6 (3.25) + 5s =32

 19.5 + 5s =32

            5s = 12.5

               s = 12.5/5

               s = 2.5

Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.

Step-by-step explanation:

Answer:

n=-11

Step-by-step explanation:

n-4=-15

n-4+4=-15+4

n=-11

Answer:

Q9: C.

Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.

[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]

Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]

Q10: B

We can subtract/ignore 3 from all of them to make things simpler.

Now, we need to find the lowest value to greatest from:

[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]

In order to compare these, we make the denominators the same (in this case: 16)

[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]

[tex]\frac{7}{16} =\frac{7}{16}[/tex]

[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]

Since 7 is the smallest value, followed by 8 and lastly 10,

the smallest to greatest in order would be

[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)

11: C

If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.

Answer:

B

Step-by-step explanation:

If we consider a point on the line (x, y ) then the corresponding point on the inverse, the other line will be (y, x )

A function and its inverse are reflections in the line y = x

Consider the point (1, 5 ) on the red line, the corresponding point on the blue line will be (5, 1 )

This is the case in graph B

The graph showing a function and its inverse is the graph D.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of a function and its inverse are symmetric with respect with the line y = x.

On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.

You will see this is true only for choice D.

Hence, the correct graph is D

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ7

Answer:

31.35%

Step-by-step explanation:

In the box, there are:

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

= 5

= 16

[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]

For showing it as some percent we'll just multiply the fraction by 100

[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]

Answer:

Your answer is All of the Above.

Hope this helps!

Step-by-step explanation:

OA is the radius

OC is the radius

and OB is the radius

( They are all half length of the circle )

Answer:   -4.1 degrees celsius

Step-by-step explanation:

Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1

Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1

The coordinates of which point are (–3, –6) is point B

Coordinates are the position of a point in the coordinate plane.

From the graph, we have the following highlights

Point B is at x = -3, and y = -6

The above means that:

(x,y) = (-3,-6)

Hence, the coordinate of (-3,-6) is point B

Read more about coordinates at:

https://brainly.com/question/17206319

Answer:

its point b edge 2022

Step-by-step explanation:

Answer:

  £5.20

Step-by-step explanation:

The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.

  change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20

Erin gets £5.20 in change.