two similar bags contain the same number of red and blue balls
Sammy takes the first bag and he replaces 5 blue balls by 5 red balls. now the number of Red Balls is twice the number of blue balls
Rami holds the second bag and he takes 3 red balls from it now the number of the blue balls is twice the number of the red balls
designate by x the number of Red Ball and y the numbers of Blue Balls
(x and y are positive integers)
the system that models the text given above is:
a. x-2y=5
2x-y=6
b. x-2y=-15
2x-y=6
c. x-2y=-15
2x-y=-3​

Answer:

0.8224

Step-by-step explanation:

Data

z-score for x1:

z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3

z-score for x2:

z2 = (x2 - mean)/sd = (90 - 76)/10 =  1.4

The  proportion of wrist watch prices are between $63 and $90 is:

P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)

P(z < 1.4) = 0.9192 (see first picture attached)

P(z < -1.3) = 0.0968 (see second picture attached)

P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224

Answer:

5

Step-by-step explanation:

According to PEMDAS the answer is five.

2x3+12-13

6+12-13

18-13

5

Answer:

See below in bold.

Step-by-step explanation:

h = -16t^2 + 120t + 10

To find the  height and time for maximum we convert to vertex form:

h = -16(t^2 - 7.5t) + 10

h = -16 [(t - 3.75)^2 - 14.0625] + 10

h = -16(t - 3.75)^2 + 225 + 10

h = -16(t - 3.75)^2 + 235

So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.

Answer:

Rhombus

I hope I helped!!!

Please make me brainliest

Answer:

6  inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

30 = 1/2 (10) h

30 = 5h

Divide each side by 5

30/5 = 5h/5

6 = h

Answer:

Step-by-step explanation:

we know area of a triangle = 1/2 * base * height

1/2*10* height = 30

5* height =30

height = 30/5 = 6inches

hope it helps

Answer:

x = 116° , y = 20°

Step-by-step explanation:

The angles are x = 116° & y = 20°

When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference i.e ∠O=2∠A

let the Points on the circumference be A,B,C then we have two traingles namely ΔABC & ΔOBC.

Given here ∠A=58°

therefore, by the circle theorem we get ∠O=116°

Again in  ΔOBC it is a isosceles triangle with its two sides equal to the radius of the circle, so ∠OBC = ∠OCB

∠OCB +∠OBC+∠BOC=180°

2 ∠OBC=180°-116°

2 ∠OBC=64°

∠OBC=32°

Again, in  ΔABC ∠C = 32° + 38° = 70°  & ∠B= y +32°

therefore, y + 32° + 70° + 58° = 180°

                                             y= 20°

Hence, the angles are  x = 116° & y = 20°

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Answer:

I. x=y-7

6

Step-by-step explanation:

y=6x-7

6x-7=y

6x=y-7

6x=y-7

6. 6

x=y-7

6

Answer:

x = [tex]\frac{8y-7}{3y-6}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{6x-7}{3x-8}[/tex] ( multiply both sides by 3x - 8 )

y(3x - 8) = 6x - 7 ← distribute left side

3xy - 8y = 6x - 7 ( subtract 6x from both sides )

3xy - 6x - 8y = - 7 ( add 8y to both sides )

3xy - 6x = 8y - 7 ← factor out x from each term on the left

x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)

x = [tex]\frac{8y-7}{3y-6}[/tex]

Answer:

A = 6

Step-by-step explanation:

to find a, divide 90 by 15

90 / 15 = 6

Answer:

35.00

Step-by-step explanation:

4a+8p=220

2a+5p=130

if we want to add them we must multiply the 2nd equation by -2

4a+8=220

-4a-10p=-260

0=20

after plugging 20 in, the apples should cost 15

15+20=35

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

hopefully this helps

Answer:

Step-by-step explanation:

x = 8.4/-2.4 = -84/24 = -3.5

The value of x in the equation is -3.5.

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the value of x, divide 8.4 by -2.4

x = 8.4 / -3.5 = -3.5

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Answer: You would need 512 cubic centimetres

Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.

If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.

The volume of a cube is given as follows;

V = L x W x H (and the answer is expressed as V³)

Since the length , width and height all measure 8 cm, the volume can simply be expressed as

V = L x L x L

V = L³

V = 8³

V = 512 cm³

Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.

Answer:

D

Step-by-step explanation:

($1238-$1039)×12=$2388

Answer:

608,000

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]\frac{2}{3.5}[/tex]

Which is about .57

Answer:

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

Answer:

13) >

14)=

15)>

16)=

17)>

18)<

Step-by-step explanation:

Answer:

New CP = Rs 387.5

Step-by-step explanation:

Cost Price = Rs. 500

Loss %age = 10% of 500

So, Loss = Rs 50

Finding the selling price:

Selling Price = CP - Loss

SP = 500 - 50

SP = Rs 450

Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:

Firstly, Let's talk about the Profit :

Profit %age = 12.5% of 500

Profit = 12.5 * 5

Profit = Rs 62.5

He wants to gain a profit of Rs 62.5

So, The cost Price

The cost price would be reduced by Rs 62.5

New CP = 450 - 62.5

New CP = Rs 387.5

Answer:

C is correct

Step-by-step explanation:

1 and 2 add up to 90,

so does 3 and 4

Step-by-step explanation:

Vertical angles are always equal

4+6x= 70°

6x =70-4 = 66°

x= 11°

We know the angles have a vertical angle and we know that vertices angle are Intercept lines.

Let's set up the equation.

[tex]4+6x=70[/tex]

We will subtract 4 from both sides and get

[tex]6x=66[/tex]

Divide by 6 on both sides

[tex]x=11[/tex]

Answer:

B. Positive

Step-by-step explanation:

If there are 2 real roots, then the discriminant is always positive.

Answer:

B. position

Step-by-step explanation:

ap e x lol

Answer:

hello! the answer is 2.5 hours :)

Answer:

the answer is 2.5 hours

Step-by-step explanation:

Answer:

2143-764=1379

Step-by-step explanation:

Answer:

D.  17.

Step-by-step explanation:

The nth term of an arithmetic sequence (an) is a1 + d(n - 1) where a1 = first term and d = the common difference.

In this sequence d = a2 - a1 = 5 - 2 = 3.

a6 = 2 + 3(6 - 1)

= 2 + 3*5

= 17.

Answer:

Step-by-step explanation:

probably 17

Answer:

f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = ?

f4 = 5(?) + 2 = ____

914

hopefully this makes sense

Answer:

Step-by-step explanation:

20% of $30 = 40% of x

0.20 * 30 = 0.40 * x

[tex]\frac{0.2}{0.4}*30=x\\[/tex]

x = 15

The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)

For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:

Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.

11

A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.

Next, we need a set of prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. The income constraint is

$2B+$4A≤$120

However, the problem requires that the constraint is in the form g(x, y)≥ 0. In

the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A

g(A, B) Now, we can write out the lagrangian

11

l(A,B)= A2 B2 +λ(120−2B−4A)

f (A, B) g(A, B)

Step II: Take the partial derivative with respect to each variable We have a function of two variables that we wish to maximize.

Therefore, there will be two first-order conditions (two partial derivatives that are set equal to zero).

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Answer:

rational numbers set

Step-by-step explanation:

rational numbers are fractions and 2 1/3 = 7/3