Find the value of x.

Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

Answer:

220g/cm³

Step-by-step explanation:

Given parameters:

  Mass of the weight = 220000g

  Volume  = 1000cm³

Unknown:

Density of weight = ?

Solution:

Density is the mass per unit volume of a substance.

Mass is the amount of matter in a substance.

Volume is the amount of space a substance occupies

        Density  = [tex]\frac{mass}{volume}[/tex]

Input the parameters and solve

        Density  = [tex]\frac{220000}{1000}[/tex]  = 220g/cm³

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Answer:

-2

Step-by-step explanation:

m = 10 / -5 = 2 / -1 = -2

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Answer:

Symmetric property of angle congruence

Sorry I think the picture is blocked so I can't see it

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Answer:

eid is more important then Eid

Step-by-step explanation:

Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.

Answer:

because we get to spend eid with family and friends.

Step-by-step explanation:

but they're equally important, in my opinion

Answer:

90 minus 10 is 80 so $80 left

Answer:

113.29w +1.77

Step-by-step explanation:

Answer:

[tex]y=-4x+6[/tex]

Step-by-step explanation:

If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.

[tex]2=-4(1)+6[/tex]

[tex]2=-4+6[/tex]

[tex]2=2[/tex]

If it works you have your answer!

The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is

y = -4x + 6.

The slope of y = -4x - 6 is -4.

passing through the point (1, 2)

the new line is parallel to the original line, it will have the same slope (-4).

Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.

substituting values,

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

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Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

Answer:89/1000

Step-by-step explanation:

Answer:

[tex]\frac{89}{1000}[/tex]  

Step-by-step explanation:

I hope this helps!

Answer:

√294 = A. 7√6

Explanation:

Factor  49  out of  294 . √

49 ( 6 ) Rewrite  

49  as  7 ² . √ 7 ² ⋅ 6

Pull terms out from under the radical.

7 √ 6

Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x

Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x

Step-by-step explanation:

Let x= Puppy's weight in the first visit.

If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)

= x+ 0.1x

i.e. expression to show puppy's current weight = x+ 0.1x

In simplified form it will be

x+ 0.1x = x(1+0.1)

=x(1.1)

=1.1 x  (simplified form )

If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)

= 1.1x+10% of 1.1x

= 1.1x + 0.1(1.1x)

Expression that for puppy's future weight= 1.1x + 0.1(1.1x)

= 1.1x(1+0.1)

= 1.1x(1.1)

=(1.1)²x

= 1.21x  (simplified form)

Answer:

The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".

Step-by-step explanation:

The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.

[tex]\to \frac{81}{918}= 0.0882352941[/tex]

It wasn't a repeating decimal, however a final decimal, so it's got an end.

Its quotient may be less than 11 in total.

Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .

Answer:

a

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

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9514 1404 393

Answer:

  2x²2y³ -- Coefficiente: +4

  5xy -- Grado: 2

  -5x⁴y -- Grado: 5

Step-by-step explanation:

The coefficient of the literal part is the product of all of the numerical factors in the term.

  2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4

As in the upper left box, the degree of the term is the sum of the exponents of the literals.

  5xy has a degree of 1+1 = 2

  -5x⁴y has a degree of 4+1 = 5

__

The remaining descriptions are correct.

9514 1404 393

Answer:

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.

Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

the answer to your question is 4

Answer:

yeah it is 4 i got it right

Step-by-step explanation:

Answer:

Let 2n + 1 be an odd number......  B/2nd option

Step-by-step explanation:

The best choice is

Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.

Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.

A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.

First, Only three examples are given which is not appropriate at all.

Second, This is the best proof is

Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.

Fourth, State the meaning of Title without proof.

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Answer:

[tex] \frac{10}{27} [/tex]

Answer1/2(8x15)=60ft2

Step-by-step explanation: hope this helps you

The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.

The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.

The area of the triangle will be calculated as,

Area = 1/2 x 15 x 8

Area = 15 x 4

Area = 60 square feet

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Answer: 75

Step-by-step explanation:

Plug in 7 for x and 5 for y

10(7)+5

70+5

75