solve 11x-22=(2)5x+4

Answer:

Suppose that we have a converging series like:

(a₁ + a₂ + a₃ + ... ) = A

or

∑aₙ = A

So this series converges to the value A.

Now, let's multiply all the coefficients by a real number c, different than zero, then the sum is:

(c*a₁ + c*a₂ + c*a₃ + ...)

now we can take the common factor c out, to get:

c*(a₁ + a₂ + a₃ + ...)

And the thing inside the parentheses is equal to A, then we have:

c*(a₁ + a₂ + a₃ + ...) = c*A

So the series still converges for any value of c.

Now, suppose that this series diverges (to minus infinity or infinity)

Then we have:

(b₁ + b₂ + b₃ + ...) = ∞

Same as before, we multiply all the terms by the same number c:

(c*b₁ + c*b₂ + c*b₃ + ...)

again, we take the common factor out:

c*(b₁ + b₂ + b₃ + ...)

And same as before, we get:

c*(b₁ + b₂ + b₃ + ...) = c*∞

and c*∞ is still equal to ∞ (or -∞ if c is negative), so the series still diverges.

Answer:

The solution to the inequality is;

x > -7/3

Step-by-step explanation:

We want to find the solution to the inequality;

-3x + 8 < 15

We can have this as;

-3x < 15-8

-3x < 7

x > -7/3

Answer:

x>-7/3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

3x + 14 + 4x + 6 = 90

7x + 20 = 90

90 - 20 = 70

70 / 7 = 10

x = 10

Two solutions were found :

1. z = 2

2. z = -1

Step-by-step explanation:

Given:

The fraction is [tex]\dfrac{4}{6}[/tex].

To find:

The equivalent fraction.

Solution:

We have,

[tex]\dfrac{4}{6}[/tex]

Here, the numerator is 4 and denominator is 6. Both are even numbers, so they can be divisible by 2.

Divide numerator and denominator by 2.

[tex]\dfrac{4}{6}=\dfrac{\dfrac{4}{2}}{\dfrac{6}{2}}[/tex]

[tex]\dfrac{4}{6}=\dfrac{2}{3}[/tex]

[tex]\dfrac{4}{6}\equiv \dfrac{2}{3}[/tex]

So, the given fraction is equivalent to [tex]\dfrac{2}{3}[/tex].

Therefore, the correct option is B.

Answer: 22a9



Step-by-step explanation:

Answer:

10 minuets 225

20 minuets 375

Step-by-step explanation:

Answer:

writing utensils= 16

School supplies=20

16:20

4:5 simplified

TRICKY (一_一)

187373828282746282847828274737282

Answer:

Step-by-step explanation:

57cm²

Answer:

6+3b=x

Step-by-step explanation:

The total amount of money spend on crackers and cheese is given by the inequality 3b + 6 ≤ 15

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the amount spend on cheese be = $ 6

The number of boxes of crackers = b

The cost of one box of crackers = $ 3

So , the total amount for b box of crackers = 3b

The maximum amount of money that can be spend = $ 15

And , total amount of money spend on crackers and cheese is

3b + 6 ≤ 15

Subtracting 6 on both sides , we get

3b ≤ 9

Divide by 3 on both sides , we get

b ≤ 3 boxes

Therefore , the value of b is 3 boxes

Hence , the inequality is 3b + 6 ≤ 15

To learn more about inequality equations click :

https://brainly.com/question/11897796

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The complete question is :

Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box.Which inequality shows that Mari wants to spend at most $15 on cheese and crackers for the party?

Answer:

20 12cost and the the rest 16

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In Prime factorization, we are expected to obtain factors that are prime numbers that can multiply themselves to give the original number. So long as the first factor can divide the number without a remainder, other remaining factors can be multiplied together to give the original number.

Prime factorization of the number, 15 goes thus;

15/3=5

5/5=1

3*5=15

So, all the factors multiply to give the original number.

Answer:

Point C: (4, 0)

Step-by-step explanation:

Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.

point slope form between two points:  y - y1 = m (x - x1)

point A (2, 6) and D (4,4):

slope: point form, 6 - 4 = m(2 - 4)

2 = -2m

m (slope)  = [tex]\frac {2}{-2}[/tex] = [tex]\frac {Change in X position}{ Change in Y position}[/tex]

now that you know the change in position, apply this to vertice B to get the position of the final vertice.

B(2, 2)

C (2 +2, 2-2) = C(4, 0)

The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)

Answer:

x = 9

Step-by-step explanation:

To answer this equation We have to find the value of x so that and A, B, and C add up to 180. Since angle A and C are both 6x that means the number of those angles are the same. Therefore the equation for this problem is:

180 = 6x + 6x + 8x

Now substituting 9 in for the x values;

180 = 6(9) + 6(9) + 8(9)

180 = 54 + 54 + 72

180 = 180

Answer:

[tex] \huge {80}^{ \frac{1}{4}x } = \boxed{\sqrt[4]{ {80}}^{x}}✓[/tex]

2nd one is the right answer.

Given:

In 1999, the number of mosquitos = 2500

They tripled every year.

To find:

The model for this situation and find the number of mosquitos in 2005.

Solution:

The general exponential modal is

[tex]y=ab^x[/tex]          ...(i)

Where, a is the initial value and 0<b<1 is decay factor and b>1 is growth factor.

In 1999, the number of mosquitos is 2500.

Initial value: [tex]a=2500[/tex]

They tripled every year. So, growth factor is 3>1 and it is exponential growth.

Growth factor: [tex]b=3[/tex]

Putting [tex]a=2500[/tex] and [tex]b=3[/tex] in (i), we get

[tex]y=2500(3)^x[/tex]           ...(ii)

Here, y is the population of mosquitos after x year of 1999.

Therefore, the required exponential growth modal is [tex]y=2500(3)^x[/tex].

We know that,

[tex]2005-1999=6[/tex]

Putting x=6 in (ii), we get

[tex]y=2500(3)^6[/tex]

[tex]y=2500(729)[/tex]

[tex]y=1822500[/tex]

Therefore, the estimated number of mosquitos in 2005 is 1822500.

Answer: D

Step-by-step explanation:

Step-by-step explanation:

15 miles / 3 hours = 5 miles per hour.

25 miles / 5 hours = 5 miles per hour.

The runner runs at 5 miles per hour.

4/7

Step-by-step explanation:

if you turn them into percentage you can get what I just got by doing that cross multiple

Answer:

y= -x

or

y= -1x

Step-by-step explanation:

hope it helps :)

Answer:

D.

Step-by-step explanation:

The idea of Manifest Destiny arose in response to the prospect of U.S. annexation of Texas and to a dispute with Britain over the Oregon Country, which became part of the union.

Answer:

D. Annexation of Texas.

Step-by-step explanation:

Remember from the previous answer, the Manifest Destiny was the "justifiable source" in the expansion of the US westward. What is not known as Texas, was part of the Manifest Destiny. During this time, the Mexican Government allowed for US citizens to populate the lands that stretch from Texas to parts of California. However, it is important to note that they did not allow slavery, which is a large factor in the Texas Independence. With the independence of Texas, and the annexation of Texas from the Republic of Texas to the state of Texas, the US added a large sizable chunk to it's borders, further expanding the US in the southwest sector.

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Answer:

30

Step-by-step explanation:

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Answer:

x = 4

Step-by-step explanation:

You may want to make everything into the same fraction to make the math easier. Because x/4 is the smallest fraction, make all of the other numbers with x match it.

3x = 12x/4, x/2 = 2x/4.

Now, 12x/4 - x/4 = 11x/4.

11x/4 + 9 = 1 - 2x/4 - 5. Now add x to one side to solve x.

13x/4 +9 = 1 - 5

13x/4 + 9 = -4

13x/4 = -13 (multiply by four on each side)

13x = -52

x = 4

Answer: x=-4

Step-by-step explanation:

Answer: = 1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

8(x-4)=4(x-7)

we can expand the brackets

8x-32=4x-28

8x-4x=-28+32

4x=4

x=1

Answer:

Mean = 35

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

(30 + 34) /2 = 32

Mode = 30 ( most frequent)

Range = (51 - 20) = 31

Mean = 72

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

4th + 5term = (72 + 77) /2 = 74.5

Mode = 72 ( most frequent)

Range = (90 - 48) = 42

Step-by-step explanation:

Given :

1.)

Data: 30 , 40 , 51 , 30 , 34 , 20, 30, 45

Rearranged data : 20, 30, 30, 30, 34, 40, 45, 51

Mean = ΣX / n = 280 / 8

Mean = 35

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

(30 + 34) /2 = 32

Mode = 30 ( most frequent)

Range = (51 - 20) = 31

2.)

90 , 72 , 48 , 84 , 77 , 72, 50, 83

Rearranged data : 48, 50, 72, 72, 77, 83, 84, 90

Mean (m) = ΣX / n = 576 / 8

Mean = 72

Median = 0.5(n + 1)th term

Median = 0.5(9) = 4.5th term

4th + 5term = (72 + 77) /2 = 74.5

Mode = 72 ( most frequent)

Range = (90 - 48) = 42