Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

[tex]Width = 5ft[/tex]

[tex]Length = 4ft[/tex]

[tex]Height = 8ft[/tex]

The second has the following dimension:

[tex]Width = 3ft[/tex] ---- see the last label at the top

[tex]Length = 2ft[/tex] --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

[tex]Height = 8ft[/tex]

So: The volume of the closet is:

[tex]Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2[/tex]

[tex]Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft[/tex]

[tex]Volume = 160ft^3 + 48ft^3[/tex]

[tex]Volume = 208ft^3[/tex]

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

[tex]Boxes = \frac{208ft^3}{32ft^3}[/tex]

[tex]Boxes= \frac{208}{32}[/tex]

[tex]Boxes = 6.5[/tex]

Answer: 9.6

Step-by-step explanation:

You need to isolate the m and in order to do that then you have to multiply both sides by 2

So m/2 x 2 = m

4.8 x 2 = 9.6 which is the answer

Answer:

Step-by-step explanation:

m/2 = 4.8

m = 4.8×2

m = 9.6

Answer:

3

Step-by-step explanation:

because if he turns right 90 he will get to school but if he turns left 90 he might get half way to the golf course. And since it doesn't specify there is no way in knowing which way to turn

Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes

Answer

The circumference  is 37.699

Hope this answer helped you!

⭐Please consider giving brainliest!⭐

Step-by-step explanation:

the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm

The answer are b,c, and f

Answer:

a)

the probability that Fischer wins the match is 0.5714

b)

p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex],  d = 1, 2, 3, ........

                                 [tex]0[/tex]                     otherwise

Step-by-step explanation:

Given that;

probability that Fischer wins the match, p = 4

probability that Spassky wins the match, q = 0.3

Match drawn, 1 - p - q = 1 - 0.4 - 0.3 = 0.7

(a) What is the probability that Fischer wins the match?

P( Fischer wins) = p/( p+q)

we substitute

P( Fischer wins) = 0.4 / ( 0.4 + 0.3)

P( Fischer wins) = 0.4 / 0.7

P( Fischer wins) = 0.5714

Therefore, the probability that Fischer wins the match is 0.5714

b) What is the PMF of the duration of the match?

let D represent the duration of the match

since the duration D of the match is a geometric random variable with parameter p + q,

the PMF will be;

p( D = d ) = [tex]( 1 - p - q )^{d-1[/tex] ( p + q )

= [tex]( 1 - 0.4 - 0.3 )^{d-1[/tex] ( 0.4 + 0.3 )

p( D = d ) = [tex]( 0.3 )^{d-1[/tex] ( 0.7)

that is, p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex],  d = 1, 2, 3, ........

                                 [tex]0[/tex]                     otherwise

9514 1404 393

Answer:

  y = -3x +4

Step-by-step explanation:

The hint tells you the slope stays the same. Every point moves to 2 times its original distance from the origin. So, the new y-intercept will be (+2)(2) = +4. The dilated line is ...

  y = -3x +4

Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

Answer:

72 units

Step-by-step explanation:

SA=2lw+2lh+2hw

SA=2(8x2) + 2(8x2) + 2(2x2) Note, Not distributive

SA= 2(16) + 2(16) + 2(4)

SA= 32 + 32 + 8

SA= 72

Answer:

72 sq. units

Step-by-step explanation:

There are four rectangles of length 8 units and width 2 units, and two squares of length 2 units each.

area of one rectangle=8×2=16 sq. units

area of four rectangles=16×4=64 sq. units

area of on square=2×2=4 sq. units

area of two squares=4×2=8 sq. units

total surface area=64+8=72 sq. units

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

Answer:

C

Step-by-step explanation:

Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!

Answer:

C is the approximant answer

Answer:

lol

Step-by-step explanation:

Answer:

one there is no milk in the fridge but you already poured the cereal

Answer:

5^5 is equal to 3125

Step-by-step explanation:

5×5×5×5×5=3125 Hope this helps!

the answer is 10 alangan

Answer:

1. 50.26548

2. 12.56637

3. 3.14159

4. 201.06193

5. 113.09734

6. 38.48451

7. 63.61725

8. 153.93804

9. 28.27433

10. 19.63495

Step-by-step explanation:

The formula is A = pi r^2

Hope this helps! Please award brainiest if its correct!

Answer:

12+8x

Step-by-step explanation:

By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.

Answer:

Step-by-step explanation:

50in-3ft(12in/ft)

50in-36in

14in

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

Subtract the number of cups she takes from the total cups:

18 cups - 8 cups = 10 cups will be left

Answer:

I can see the picture re post it

Step-by-step explanation:

Answer:

The measure of angle F is the same as the measure of angle C.

BC is adjacent and AC is the hypotenuse. That means, use cosine.

Cos C = 15/17

C = cos-1(15/17) = 28.07... or 28.

Step-by-step explanation:

Answer:

4 and -5

Step-by-step explanation:

Answer:

4 and -5

Step-by-step explanation:

Coefficients are numbers that are multiplied by a variable.

The term 4ab has 4 as the coefficient and a and b as the variables.

The term -5b has -5 as the coefficient and b as the variable.

Answer:

A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side.

Answer: check out the image hope this helps

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 20^{2} + 21^{2}[/tex]

[tex]c^{2} = 400 + 441[/tex]

[tex]c^{2} = 841[/tex]

[tex]\sqrt{c^2} = \sqrt{841}[/tex]

[tex]c = 29[/tex]

As per the Pythagorean theorem, the value of 'x' for the given right angle triangle is 29.

"The Pythagorean theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC²​​. Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse."

Given, the value of the three sides of the right angle triangle are 20, 21, and 'x'.

Here, x = the hypotenuse of the right angle triangle.

Therefore, using the Pythagorean theorem, we get:

x² = 20² + 21²

⇒ x² = 400 + 441

⇒ x² = 841

⇒ x = √(841)

⇒ x = 29 (ignoring the negative value of the square root)

Therefore, the value of 'x' is 29.

Learn more about the Pythagorean Theorem here: https://brainly.com/question/20545091

#SPJ2

Answer:

1st find the area of bigger rectangle ie l×b

again find area of small rectangle ie l×b

now subtract area of small rectangle by bigger one you get the area of shaded part

Answer:

20.00 thousand cell

Step-by-step explanation:

The problem can be solved using integration

[tex]\begin{aligned} r &=4+\int_{0}^{3} 8 e^{0.18 t} d t \\ &=4+3 \cdot\left[\frac{e^{0.18t}}{0.18}\right]_{0}^{3} \\ &=4+\frac{3}{0.18}\left(e^{0.18(3)}-e^{0.18(0)}\right) \\ &=19.9996 \end{aligned}[/tex]

[tex]\approx 20.00[/tex] thousand cells

the correct answer upto 2 decimal place.

Answer:

Ellen is correct

Step-by-step explanation:

Roger:

The left side 20 does not equal to the right side 0.002 , which means that the given statement is false.

Ellen:

The left side 20 is equal to the right side 20, which means that the given statement is always true.

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

-Aadi x

Answer:

the frist one is 2 the second on is 3.5 and the third one is 3 and the last on is 2.9