The balanced scale represents the equation: 3x + 1 = x + 3

If one x block is subtracted from the right side and three numbered blocks are subtracted from the left side. What process will

balance the scale?


subtract one x block from the left side and subtract three numbered blocks

from the left side


subtract one x block from the left side and subtract three numbered blocks

from the right side


subtract one x block from the right side and subtract'three numbered

blocks from the left side


subtract one x block from the right side and subtract three numbered

blocks from the right side

Answers

Answer 1

Answer:

1 block is required in the process to balance the scale

Step-by-step explanation:

In order to get the process that will balance the scale, we need to solve the given expression for x as shown;

3x + 1 = x+ 3

Subtract x from both sides

3x+1-x = x+3 - x

3x - x + 1 = 3

2x + 1 = 3

Subtract 1 from both sides

2x + 1 - 1 = 3 -1

2x = 2

Divide both sides by 2

2x/2 = 2/2

x = 1

Hence 1 block is required in the process to balance the scale


Related Questions

While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?

Answers

Answer:

= $88.7429

Step-by-step explanation:

Regular price: $124.99

Total off: $124.99 x 20% + 15% = 43.7465%

Tax: $124.99 x 6% = 7.4994

So he should pay: 124.99 - 43.7465 +7.4994

The total cost of her meal would be amount of $88.74.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.

As per the given information, the required solution would be as

Regular price of dinner = $124.99

Total off =  $124.99 × 20% + 15% = 43.7465%

Total tax = $124.99 × 6% = 7.4994

The total cost of her meal = Regular price of dinner - Total off + Total tax

The total cost of her meal = 124.99 - 43.7465 +7.4994

Apply the arithmetic operation to get the cost

The total cost of her meal = 88.74

Therefore, the total cost of her meal would be amount of $88.74.

Learn more about the percentages here:

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#SPJ2

Mother put 22 apples in each basket. How many baskets did she use for 390 apples?

Answers

Answer:

To find the no. of baskets used to put 390 apples we have to divide 390/22  which is 17.7272727273,

so to put 390 apples we need approximately 18 baskets.

hope this answer helps you...

answer: 17.72
solution: probably 17 bc there’s not enough for 18

Find the area to the following figure. Round to the one decimal place.

Answers

Answer:

91in^2

Step-by-step explanation:

First, add 11 and 15:   11 + 15 = 26

Second, divide it by 2: 26/2 = 13

Third, multiply it by the height: 13 * 7 = 91in^2

please help, i will give brainilest.

Answers

Answer:

-36

Step-by-step explanation:

Answer:

i think x = 21

Step-by-step explanation:

Help me please I give points thank you

NO FAKE ANSWER PLS

Answers

Answer:it is #4

7:4

so 7 suv and 4 trucks

The answer would be the Third option

Help pleaseeeeeeeeeee

Answers

Answer:

5 is c 6 is b

Step-by-step explanation:

Answer:

5) C 6) B

Step-by-step explanation:

Yw

13. What is the quadratic function that has a graph that contains the points
{(-1,8), (0,5),(1,0))?
A g(x) = -x2 - 4x + 5
B g(x) = -x2 +5
C g(x) = -x2 + 7x + 5
D g(x) = -x2 + 4x + 5

Answers

Answer: D, i am a hight school teacher names miss smell my butt, and i know that i am right

2. How does the graph of the following function compare to the quadratic parent function? * (1 Point) 8 (x) = x2 + 5 Moves up 5 Moves down 5 Moves to the left 5 Moves to the right 5

Answers

Answer:

b

Step-by-step explanation:

oi did the quiz f. 6373737

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

pt B: (-1, -8)

Step-by-step explanation:

(x - 7)/2 = -4

x - 7 = -8

x = -1

(y-6)/2 = -7

y - 6 = -14

y = -8

help lol..............

Which table below does not represent a function?

Answers

Answer:

Option 2

Step-by-step explanation:

if an input produces more than one output, the table does not represent a function.

Which is greater 52,800 cm or 1 km?

Answers

Answer:

1 km

Step-by-step explanation:

According to the unit of conversion in every 1 kilometer, there is a total of 100 000 centimeters. Now, the given value of centimeters is equals to 52 800 => 1 km = 100 000 cm => 52 800 cm is less than the value of 100 000 cm which is equivalent to 1 km. Thus, the given is not correct.

i think 1 km is greater

True or false is the graph of y = 2/3 x + 4

Answers

Answer:

False. 2/3 is positive so therefore, it would be increasing, not decreasing.

Step-by-step explanation:

Which of the following sets of ordered pairs does not define a function?

{(1,2),(5,6),(6,7),(10,11),(13,14)}
{(−1,4),(0,4),(1,4),(2,4),(3,4)}
{(1,1),(2,2),(3,3),(4,4),(5,5)}
{(1,3),(5,2),(6,9),(1,12),(10,2)}

Answers

Answer: D

Step-by-step explanation: As we can see, D is the only one that has matching inputs, but those inputs have separate outputs. If they don't have the same output, it is not a function

Hope this helps :)

6(y - 2) = -18

What is y?

Answers

Answer:

-1

Step-by-step explanation:

6 (y - 2) = -18

6y - 12 = -18

6y = -18 + 12

6y = -6

y = -1

IM GIVING BRAINLIEST!!PLEASE HELP!!

Answers

Answer:

D

Step-by-step explanation:

(x - 3)(x + 4) = x^2 + x - 12

Plz help me, correct answers will get brainliest <3

Answers

Answer:

∠ B = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for ∠ B

∠ B = 180° - (90 + 42)° = 180° - 132° = 48°

Write the sentence as an equation
the product of 48 and g, reduced by 26 is equal to 345 subtracted from the quantity g times 150

Answers

Is there any answer choices so I can choose?

PLEASE HELP ASAP
Find the surface area and volume of the cylinder below:

Answers

Answer:

Surface Area: 848.23

Volume: 1727.88

Step-by-step explanation:

I know dis im in 8th grade iz ez!

PLS HELP WITH THIS ONE if a radius of a cake is 13 and the ribbon of the cake is 36 cm will the ribbon be long enough to go around the edge of the cake?

Answers

Answer:

No, the ribbon would not be long enough to go around the edge of the cake.

Circumference ≈ 81.7 cm

Step-by-step explanation:

1) Calculate the circumference of the cake

Circumference - the length around a circle

[tex]C=2\pi r[/tex] where r is the radius

Plug 13 in as the radius

[tex]C=2\pi (13)\\C=26\pi\\C= 81.7[/tex]

Therefore, the circumference of the cake is approximately 81.7 cm.

Because the ribbon is only 36 cm long, it would not be enough to go around the edge of the cake.

I hope this helps!

A triangular prism has a base that is an isosceles triangle with sides ​14 cm, 14cm ​, base 9 cm ​, and height 13 cm. The height of the prism is 32 cm. What is the surface area of this​ prism?

Answers

Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²

A cylinder has a volume of 792 m and a radius of 6 m. Find its height.

Answers

Answer:

7 m

Step-by-step explanation:

you divide the volume by the radius I'm pretty sure. that's what I did and I got 7

Write an equivalent expression for 5+2+2x+2
please help me ​

Answers

Answer:

2x+9

Step-by-step explanation:

You have to combine like terms. 2x stays the same because there are no other like terms, but 5, 2, and 2 can be added together to make 9

What is the product of 630 and 7.2 x 104 expressed in scientific notation?

Answers

3.14156969696969669696969696969669

Find the zeros of the following quadratic functions.
3) x2 + 5x + 6 = 0

Answers

the zeros are x= -6 & x= 1

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

Select the correct answer.
If the parent function RX) = x2 is modified to g(x) = 2x + 1, which statement is true about g(x)?
ΟΑ. .
It is an even function.
ОВ.
It is an odd function,
OC. It is both an even and an odd function.
OD.
It is neither an even nor an odd function.

Answers

Answer D. I think I’m not 100% sure

The volume of a cylinder can be determined using the formula V=πr2h, where r and h represent the radius and height of the cylinder, respectively. A volume of paint expressed as (8x3 + 31x2 + 32x)π and a volume of paint expressed as (10x3 + 17x2)π are poured into a paint can in the shape of a cylinder. Determine possible expressions for the radius of the can and the depth of the paint in the can.

Answers

Answer:

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Step-by-step explanation:

Let be the initial volumes of the initial cans represented by these expressions:

[tex]V_{1} = (8\cdot x^{3}+31\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (1)

[tex]V_{2} = (10\cdot x^{3}+17\cdot x^{2})\cdot \pi[/tex] (2)

The resulting volume of the paint can is the sum of the two functions:

[tex]V_{3} = (18\cdot x^{3}+48\cdot x^{2}+32\cdot x)\cdot \pi[/tex] (3)

Then, we proceed to factor the polynomial:

[tex]V_{3} = 2\cdot (9\cdot x^{2}+24\cdot x +16)\cdot x \cdot \pi[/tex]

[tex]V_{3} = \pi\cdot (9\cdot x^{2}+24\cdot x + 16)\cdot (2\cdot x)[/tex] (3b)

By direct comparison with the volume formula for the cylinder we have the following expressions:

[tex]r^{2} = 9\cdot x^{2}+24\cdot x + 16[/tex]

[tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex]

[tex]h = 2\cdot x[/tex]

Possible expressions for the radius of the can and the depth of the paint in the can are [tex]r = \sqrt{9\cdot x^{2}+24\cdot x+16}[/tex] and [tex]h = 2\cdot x[/tex], respectively.

Suppose Lucy want to make sure that when she reaches into her drawer, she is certain to take out enough gloves so that she will have one matching pair to wear. HOW MANY GLOVES MUST SHE TAKE?

Answers

Answer:

its 2

Step-by-step explanation:

I have consulted many nice people ( my idiot friends) they all say 2 good luck

Which expression is equivalent to

Answers

Answer:

Step-by-step explanation:

the first expression

Please help.

a+67a+3ab-2ab-1=​

Answers

Answer:

68a+ab-1

Step-by-step explanation:

Have a good day!

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