Algebraic Proofs CC
Fill in the Reason for #1
Statements
1. 5(x + 3) = 2x + 3
Reasons

Answer:

50% (1/2)

Step-by-step explanation:

3 of the 6 sides that exist on a dice have odd numbers.

Answer:

1/2 probability of getting an odd number

Step-by-step explanation:

Dice have the given outcomes of getting a 1, 2, 3, 4, 5, or 6. Considering that the desired outcomes are only 3 out of 6 of those given outcomes, that leaves us with a 3/6 or 1/2 chance of getting an odd number.

Answer:

b is the correct answer

Answer:

Step-by-step explanation:

s + at = F

at = F - s

t = (F - s)/a

x/a + y/b = 1

x/a = 1 - y/b

a(x/a = 1 - y/b)

x = a - ay/b

Answer:

A (i) impossible, because the card D doesn't exist.

(ii) evens, because the number of vowel cards and consonant cards is equal  

B (i)  62 - 24 - 13 - 16 = 9

(ii) 24/62*100% = 38.7%

(iii) (13+16) / 62 * 100% = 46.77%

Answer:

6.5%

Step-by-step explanation:

All i did was subtract 65 from the 75 which gave me 10 and I divided that by the original cost which was 65. That gave me 6.5%. Another possible answer is 0.1538461538461538. I just tried my best.

Answer:

C

Step-by-step explanation:

the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."

to fulfil this statement, follow these steps.

1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.

2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.

3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.

Answer:

C

Step-by-step explanation:

First, graph the equation:

The y-intercept is -4.

And the slope is 1/2, an upward sloping line.

So, our graph should be either A, B, or C.

D is not correct, so eliminate that.

So, our inequality is:

[tex]y<\frac{1}{2}x-4[/tex]

Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.

Thus, eliminate A and B.

So, C is our answer

Further notes:

The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.

In C, the shaded area is indeed below the line.

So, C is indeed our answer :)

Answer:

no.

Step-by-step explanation:

let's use apples for this example. if you have 3/2 of an apple that means you actually have one full apple and one apple cut in half since 3/2 is also equal to 1 and 1/2. but 2/3, on the other hand, means you have 2 of 3 sections of 1 apple.

Answer:

no they are not

Step-by-step explanation:

use an equivalent fraction calculator on google to find fractions equivalent!

Answer:

C ) 1/8 * 8 * 8 * 8 * 8 * 8 * 8 * 8

Answer:

2x=0

x=0

Step-by-step explanation:

11-3x=5(2-x)+1

We first distribute the 5 to 2 and -x:

11-3x=10-5x+1

Combine like terms (combine all variables and then combine all constants)

-3x+5x=10+1-11

2x=0

x=0

Answer:

-8/5 + 2x = y

Step-by-step explanation:

-8=-10x + 5y

Add 10x to each side

-8+10x=-10x+10x + 5y

-8+10x = 5y

Divide each side by 5

-8/5  + 10x/5 = 5y/5

-8/5 + 2x = y

[tex]\sf\dashrightarrow -8=-10x + 5y [/tex]

[tex]\sf\implies -8=5(2x+y)[/tex]

[tex]\sf\implies \dfrac{-8}{5}=-2x+y [/tex]

[tex]\sf\implies \dfrac{-8}{5}+2x=y[/tex]

[tex]\large{\boxed{\bf{ \star\:\: \dfrac{-8}{5}+2x=y\:\: \star }}}[/tex]

Answer:

182,463 is the number

Step-by-step explanation:

hope it will help ^_^

Answer:

cot theta

Step-by-step explanation:

t = theta

csc t = 1/ sin t

cos t . csc t = cos t / sin t = cot t

Answer:

10

Step-by-step explanation:

you would go to desmos graphing calculator and plug in the 2 points and you can see that it goes 8 down and 6 right and when you do Pythagorean theorem you get 64+36 which is 100 and the square root of that is 10 so the distance would be 10 units or simply 10

Answer: Volume of a sphere = 4/3 * pi * r^3       r = radius of sphere      pi~ 3.14

Step-by-step explanation: If you use the radius in inches, your result will be in cubic inches (in^3)

The amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.

The volume of a sphere is the volume of space occupied by a sphere.  It is given by the formula:

[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]

As it is given that the diameter of Mya's ball is 12 inches, also we know that the volume of a sphere is given by the formula,

[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]

As we know that the diameter of Mya's ball is 12 inches, therefore, the radius of Mya's ball can be written as,

[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{12\ in}{2} = 6\ in.[/tex]

Now, if we substitute the value of the radius of Mya's ball in the formula of the volume of the ball,

[tex]\rm \text{Volume of Ball} = \dfrac{4}{3}\times \pi \times 6^3 = 904.779\ in^3[/tex]

Hence, the amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.

Learn more about Volume of Sphere:

https://brainly.com/question/16924154

1101₂ + 1110₂ + 1001₂ = 100100₂

1101₂ = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13₁₀

1110₂ = 1×2³  + 1×2² + 1×2¹ + 0×2⁰ = 8 +  4 + 2 =  14₁₀

1001₂ = 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 8 + 1 = 9₁₀

13 + 14 + 9 = 36

36₁₀ =

36 : 2 = 18 + r 0

18 : 2 = 9 + r 0

9 : 2 = 4 + r 1

4 : 2 = 2 + r 0

2 : 2 = 1 + r 0

1 : 2 = 0 + r 1  ↑

= 100100₂

Answer:

[tex]\huge\boxed{1101_2+1110_2+1001_2=100100_2}[/tex]

Step-by-step explanation:

We know:

[tex]0_2 + 0_2 = 0_2\\0_2 + 1_2 = 1_2\\1_2 + 1_2 = 10_2[/tex]

[tex]\underline{+\begin{array}{ccc}_1\ \ \ \ \\1101\\1110\end{array}}\\.\ 11011\\\\\underline{+\begin{array}{ccc}_1\ \ _1_1 \ \\11011\\\ \ 1001\end{array}}\\.\ \ 100100\\\\[/tex]

Answer:

Below

Step-by-step explanation:

● x(t) = 2t^2 -20t

A is the average change between t = 1 and t = 3 wich also the velocity.

● A = [x(3)-x(1) ]/(3-1)

● A = [ x(3) - x(1)] / 2

● x(3) = 2×3^2 - 20 ×3 = 18-60= -42

● x(1) = 2×1^2 -20×1 = 2-20 = -18

● A = (-42-(-18))/2

● A = (-42+18)/2

● A = -24 /2

● A = -12

A is negative so the car must be going backwards

Answer:

Negative

Step-by-step explanation:

negative

-4

-8

+

---

-12

negative

Answer:

please mark my answer brainliest

Step-by-step explanation:

the answer will be...9in square +25in square +24 in square.....=58 in square.....that is ur answer...find individual areas then sum up

Answer:

  A

Step-by-step explanation:

You know that the negative number with the largest magnitude is farthest to the left on the number line.

  3/4 = 9/12

  2/3 = 8/12

Then 3/4 > 2/3, so ...

  -3/4 < -2/3

Answer:

50sq cm

Step-by-step explanation:

You have to divide the shape into two rectangles. You get a 4x8 and a 3x6.

So then you have 32sq sm and 18sq cm. Add them up and you get 50sq cm.

To find the cost of planting grass , we have to find area of the field.

Area of field = Length × Breadth

[tex]{= 300×170}[/tex]

[tex]{=51000 sq. m}[/tex]

Now convert into hectare.

1 hectare = 10000m sq.

51000 / 10000

So area field = 5.1 hectare sq.

Now cost = 5.1 x 0.80 p

[tex]{= 0.408 p}[/tex]

Answer:

x = -2

Step-by-step explanation:

3(3 - x) = 5(2x + 7) multiply 3 with both 3 and -x then 5 with 2x and 7

9 - 3x = 10x + 35 add like terms

9 - 35 = 10x + 3x

-26 = 13x

x = - 2

Answer:

the answer is 80

Step-by-step explanation:

Answer:

Domain is the set of all x values, the independent quantity, for which the function f(x) exists or is defined.

Step-by-step explanation:

i just graphed it

Answer:

Domain:

[tex]x\in\mathbb{R}[/tex]

Range:

[tex]y\geq -5[/tex]

Step-by-step explanation:

The domain is the span of x-values covered by the graph, and the range is the span of y-values covered by the graph.

From the graph, we can see that the x-values covered by the graph will extend infinitely in both directions. Therefore, the domain of the graph is all real numbers.

We can't write this as an inequality, but we can write:

[tex]x\in\mathbb{R}[/tex]

For the range, we can see from the graph that the lowest y-value is y=-5. The graph doesn't go any lower than that. However, the graph will also cover all values greater than -5. Therefore, the range of the graph is all values greater than or equal to -5. In an inequality, this is:

[tex]y\geq -5[/tex]

Answer:

The rate of the plane is 753 km/h while the rate of the wind is 75km/h

Step-by-step explanation:

Here in this question, we are interested in calculating the rate of the plane in still air and the rate of the wind.

Since we do not know these rates, we shall be representing both using variables.

Let’s represent the rate of the plane in still air by x kmph while the rate of the wind be represented by y kmph

Now, for us to calculate the speed of the plane while it travels against the wind, that would be the speed of the plane in still air minus the speed of the wind.

Mathematically, that would be (x-y) kmph

Now the speed of the plane while it travels with the wind would be its speed in still air plus the speed of the wind.

Mathematically, that would be;

(x + y) kmph

From the question;

The plane journeyed 5424 km against the speed in 8 hours, this means that its speed will be 5424/8 = 678 kmph

Thus, that means;

x -y = 678 •••••••(i)

Now, traveling with the wind , its speed will be ;

6624/8 = 828 kmph

Thus;

x + y = 828 kmph •••••••(ii)

So we have two equations to solve simultaneously;

Let’s add both together;

x -y + x + y = 828+ 678

2x = 1,506

x = 1506/2

x = 753 kmph

From ii

x + y = 828

y = 828 - x

y = 828 - 753

y = 75 kmph

Answer:

4h-1

Step-by-step explanation:

subtracted it with a scientific calculator and that was the answer

Answer:

Floor ride up to = 13 floor

Step-by-step explanation:

Given:

Parking garage = 4 floors under ground

Elevator up-to = 17 floor

Find:

Floor ride up to

Computation:

Floor ride up to = Elevator up-to - Parking garage

Floor ride up to = 17 floor - 4 floor

Floor ride up to = 13 floor

Answer:

x=-2

Step-by-step explanation:

Combine like terms:

10- 2x - 7 - 8x = 5

10-(-7)=10+7=17

2x-8x=-6x

17-6x=5

-17     -17

6x=-12

÷6   ÷6

x=-2

Answer:

-10x=2 so x=-5

Step-by-step explanation:

Answer:

H = 8 + 3t

Step-by-step explanation:

H = height

t = time in months

H = 8 + 3t

H is the height at and given time. 8 is the initial height and since it grows 3 in a month it would be 3 times how ever many months have passed.

For example after 6 months

t = 6

H = 8 + 3 (6)

H = 8 + 18

H = 26in