Giulio holds a bag of 70 marbles in his hands. Jim blindfolds Giulio and keeps adding marbles to Giulio's bag, one at a time. However, Giulio notices the difference in the weight only after Jim has added 5 marbles. They now repeat the same experiment with a bag of 140 marbles. This time, Giulio notices the difference in the weight only after Jim has added 10 marbles. This scenario BEST illustrates:

Given:

The linear equation is:

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

To find:

The general form of the given linear equation.

Solution:

The general form of a line is equation is:

[tex]Ax+By=C[/tex]

We have,

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

Multiply both sides by 2.

[tex]2(y+6)=-5(x+4)[/tex]

[tex]2(y)+2(6)=-5(x)-5(4)[/tex]

[tex]2y+12=-5x-20[/tex]

Isolating variable terms, we get

[tex]2y+5x=-20-12[/tex]

[tex]5x+2y=-32[/tex]

Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].

Answer:

m∠GDE

alternate interior angles

Answer:

B and D

Step-by-step explanation:

Answer:

y = - 3

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis

A line perpendicular to it will be a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates of the points the line passes through.

The line passes through (- 3, - 3) with y- coordinate - 3 , then

y = - 3 ← equation of perpendicular line

Given:

Depart 2:30 pm PST

Arrive 7:20 pm CST

To find:

The total travel time

Solution:

We know that time in CST is 2 hours more than the time in PST

Depart time = 2:30 pm PST

Convert this time in CST.

Depart time = (2:30+2:00) pm CST

                    = 4:30 pm CST

We have,

Arrive time = 7:20 pm CST

The total travel time is the difference between 7:20 pm CST and 4:30 pm CST.

7:20 pm - 4:30 pm = 2 hr 50 min

The total travel time is 2 hr 50 min.

Therefore, the correct option is D.

Answer:

-5/ 3

Step-by-step explanation:

solving 2a - b

= (2 × 2) - (-1)

= 4 + 1

= 5

solving (2a - b)/ c

= 5/ (-3)

= -5/ 3

that is the third option

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

6.) Detemine the value of [tex] \sf{(2a - b) \div c.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶(2a- b)÷c}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶(2(2)-(-1))÷(-3)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶(4-(-1))÷(-3)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶4+1÷(-3)}[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ - \frac{5}{3} }}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad\quad\underline{ \boxed{ \sf{ \red{ - \frac{5}{3} }}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Surface area of cubic= 2( lb+bh+hl)

Length= 18 cm

Width= 5 cm

Height= 2cm

[tex]s.a = 2(18 \times 5 + 5 \times 2 + 2 \times 18) \\ = 272 \: cm {}^{2} [/tex]

Answer:

sorry bro......sis

Step-by-step explanation:

don,t know its answer

Answer:

I will help ok ok heres ur answer

Answer:

The conclusion is wrong

Step-by-step explanation:

The following steps are given

[tex]5(x-2)-3x=2(x-3)-16[/tex]

[tex]5x-10-3x=2x-6-16[/tex]

[tex]2x-10=2x-22[/tex]

[tex]-10=-22[/tex]

Required

The error

Going through the steps, we can see that there are no mistakes in any of the step.

However, the conclusion that there are infinitely many solutions is wrong

because the solution actually has no solutions.

Answer:

no solutions

I believe

hope I helped

Step-by-step explanation:

Answer:

(2w+2)(w+8) ≤ 100

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{24}{10}[/tex] = [tex]\frac{12}{5}[/tex] → C

Answer:

Answer is B.

Step-by-step explanation:

You can solve this by recognizing the vertex and the y-intercept of the quadratic equation based on the information provided.

The vertex occurs 6 seconds into the jump, when the cord is fully stretched to 72m, before it starts to contract again. This is when the jumper is closest to the ground, 122-72 = 50m above the ground. Notice the jumper never reaches the ground because the cord is only 72m long - it can't make it the full 122m - so there will not be an x-intercept (or t-intercept in this case). Anyway - the vertex is (6,50) using this information.

The y-intercept is the point at which t=0, the beginning of the jump. At the beginning of the jump, the jump is still on top of the cliff, 122m up. So the coordinates of the y-intercept are (0,122).

Now plug these values into the vertex form of the quadratic formula and solve for a:

[tex]f(t) = a(t-h)^2+k\\122=a(0-6)^2+50\\72 = 36a\\a=2[/tex]

This means our general equation (in vertex form) for this scenario is:

[tex]f(t)=2(t-6)^2+50[/tex]

Our answer options are in standard form, so just expand the vertex form of the equation to finish:

[tex]f(t)=2(t-6)^2+50\\f(t)=2(t^2-12t+36)+50\\f(t)=2t^2-24t+72+50\\f(t)=2t^2-24t+122[/tex]

Answer:

Doughnuts are sold in bags and cartons

A bag holds four doughnuts and a carton holds ten doughnuts

Tom buys B bags of doughnuts and C cartons of doughnuts

He buys a total T doughnuts

Writs down a formula for T in terms of B and C

Step-by-step explanation:

Doughnuts are sold in bags and cartons

A bag holds four doughnuts and a carton holds ten doughnuts

Tom buys B bags of doughnuts and C cartons of doughnuts

He buys a total T doughnuts

Writs down a formula for T in terms of B and C

Answer:

2x+15y=2960

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

EQUATION:  24 + 3X = 27. INEQUALITY: 2X - 6 < 18.

Step-by-step explanation:

For the equation:

"A number" means that we do not know what the number is yet. So it is a variable. I chose the variable, "X."

"The SUM of 24 AND" means we are adding 24 to something. So what we have so far is "24 + ..."

"3 times a number" means we are multiplying 3 by the unknown variable X. So 3X. What we have so far is "24 + 3X..."

"is 57" means that everything we've just stated equals 57.

Our entire equation is: 24 + 3x = 27.

For the inequality:

Inequalities mean that two expressions are NOT equal to each other.

"6 less than" means that we subtract 6. So we have,"6 - ..." so far.

"Double a number" means 2 times a number, which we are saying is X. So "2X."

" is less than 18" means that everything we just said is less than the value of 18.

So the whole inequality is: 2X - 6 < 18.

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Answer:

√74

Step-by-step explanation:

49 + 25

if brainly deletes this answer, i swear this community is going down in the dumps

Answer:

[tex]\sqrt{74}[/tex] = 8.6

Step-by-step explanation:

use distance formula

points are (4,2) and (-3,-3)

d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]

substitute points into formula

Answer:

O.6, 0.7, 3/4 (0.75)

Answer:

The base of a power is the factor that is repeatedly multiplied by itself.

Answer:

x = -3

Step-by-step explanation:

This is a vertical line.  The x value remains constant.

x = -3

Answer:

x= 5.45 or -5.45

Step-by-step explanation:

Step-by-step explanation:

Let H = HCF(A,B) and L = LCM(A,B)

Then A*B = L*H

Here L*H = 100*5 = 500

Also H <= A ,B <= L

So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

Here 500 = 2^2 * 5^3

so possible values of A and B are

1 , 500

2, 250

4, 125

5,100

10,50

20,25

(assuming order doesn’t matter.)

so pairs satisfying given condition are → (20,25) and (100,5)

You can write a computer program in language of your choice to do it for other bigger numbers.

Answer:

When you solve for y, you get y = 20.

Step-by-step explanation:

You isolate the variable by dividing each side of the equation by the number with the variable, therefore getting 20.

[tex]\longrightarrow{\green{d.\:y\:=\:20}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex]\:56 = 2.8y[/tex]

➝[tex]\:y = \frac{56}{2.8} [/tex]

➝[tex]\:y = 20[/tex]

Therefore, the value of [tex]y[/tex] is 20.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➝[tex]\:56 = 2.8y[/tex]

➝[tex]\:56 = 2.8 \times 20[/tex]

➝[tex]\:56 = 56[/tex]

➝[tex]\:L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

D

Step-by-step explanation:

a and 76° are corresponding angles and are congruent , then

x = 76° → D

First solution :

Say, x = 0

→ 2x + 3y = 4

→ 2(0) + 3y = 4

→ 0 + 3y = 4

→ 3y = 4

→ y = 4/3

Second solution :

Say, x = 1

→ 2x + 3y = 4

→ 2(1) + 3y = 4

→ 2 + 3y = 4

→ 3y = 4 - 2

→ 3y = 2

→ y = 2/3

Third solution :

Say, x = 2

→ 2x + 3y = 4

→ 2(2) + 3y = 4

→ 4 + 3y = 4

→ 3y = 4 - 4

→ 3y = 0

→ y = 0 ÷ 3

→ y = 0

Answer:

[tex] { \tt{8 \sqrt{2} + 2 \sqrt{8} }}[/tex]

separate the biggest root ( √8 ):

[tex]{ \tt{ = 8 \sqrt{2} + 2 \sqrt{4 \times 2} }} \\ = { \tt{ 8 \sqrt{2} + (2 \times 2) \sqrt{2} }} \\ = { \tt{8 \sqrt{2} + 4 \sqrt{2} }}[/tex]

factorise √2 out:

[tex] = { \tt{(8 + 4) \sqrt{2} }} \\ \\ = { \bf{12 \sqrt{2} }}[/tex]

Step-by-step explanation:

[tex] {13}^{2} = {6.5}^{2} + {x}^{2} \\ {x}^{2} = 126.75 \\ x = 11.2[/tex]

Answer:

11.3 cm

Step-by-step explanation:

since this is an equilateral triangle it's every sides are equal

side length (a) = 13 cm

formula to calculate the height of equilateral triangle is

h = [tex]a *\frac{\sqrt{3} }{2}[/tex]

=[tex]13 * \frac{\sqrt{3} }{2}[/tex]

=[tex]\frac{13\sqrt{3} }{2}[/tex]

=11.25

=11.3

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6

Answer:

Step-by-step explanation:

If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,

2x + 10 + 4x + 80 = 180 and

6x = 90 so

x = 15