Been trying to get help on this for a long time Any help ?

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

Sum of N term (Sₙ) = 292

2nd term (T₂) = 8.5

5th term (T₅) = 13

Number of terms (N) =?

Next, we shall determine the first term (a) and the common difference (d) of the series. This can be obtained as follow:

T₂ = a + d

8.5 = a + d ........ 1

T₅ = a + 4d

13 = a + 4d ........ 2

Subtract equation 1 from equation 2 i.e

(2) – (1)

.. 13 = a + 4d

– 8.5 = a + d

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

4.5 = 3d

Divide both side by 3

d = 4.5 / 3

d = 1.5

Substitute the value of d into any of the equation to obtain the value of a. Here, we shall use equation 1.

8.5 = a + d

d = 1.5

8.5 = a + 1.5

Collect like terms

8.5 – 1.5 = a

a = 7

Finally, we shall determine the number of terms as follow:

Sum of N term (Sₙ) = 292

Common difference (d) = 1.5

First term (a) = 7

Number of terms (N) =?

Sₙ = n/2[2a + (n – 1)d]

292 × 2 = n[(2 × 7) + (n – 1)1.5]

584 = n[14 + 1.5n – 1.5]

584 = n[12.5 + 1.5n]

584 = 12.5n + 1.5n²

Rearrange

1.5n² + 12.5n – 584 = 0

Using formula method, the value of n can be obtained as follow:

a = 1.5

b = 12.5

c = –584

n = –b ± √(b² – 4ac) / 2a

n = –12.5 ± √(12.5² – 4 × 1.5 × –584) / 2 × 1.5

n = –12.5 ± √(156.25 + 3504) / 3

n = –12.5 ± √(3660.25) / 3

n = –12.5 ± 60.5 / 3

n = –12.5 + 60.5 / 3 or –12.5 – 60.5 / 3

n = 4 /3 or –73 / 3

n = 16 or –73 / 3

Since the number of terms can not be negative, therefore, the number of term is 16

Answer:

4a:3=8:2

so we multiply 4a to 2 equal to 8 times 3

4a×2=8×3

so a=3

Answer:

a = 3

Step-by-step explanation:

Express the ratios in fractional form , that is

[tex]\frac{4a}{3}[/tex] = [tex]\frac{8}{2}[/tex] ( cross- multiply )

8a = 24 ( divide both sides by 8 )

a = 3

Answer:

2%

Step-by-step explanation:

Given  data

Sales = $8,900

Donated amount=  ​$178

Percentage of donated sales= Donated amount/ Sales*100

Percentage of donated sales= 178/ 8900*100

Percentage of donated sales=0.02*100

Percentage of donated sales=2%

Hence the percentage is 2%

Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

Answer:

everything is in the picture

Answer:

42

Step-by-step explanation:

Area of parallelogram us 1/2 × bh

1/2 ×14×6

=42

Answer:

116200

Step-by-step explanation:

10x10x10x8.3x14=116200

Sorry if wrong :(

Answer:

150

Step-by-step explanation:

15 fail

90 percent pass

15=10 percent

135=90 percent

150

Step-by-step explanation:

90%passed

100%-90%=10% failed

10%=15 students

100%=x students

10x=1500

x=1500/10

x=150 number of students appeared in the exam.

Answer:

C. his conclusion represent correlation and causation

Answer:

2(4a - 4b) + 4(3a + 2b) = 20a

Step-by-step explanation:

2(4a - 4b) + 4(3a + 2b)

8a - 8b + 12a + 8b

8a + 12b - 8b + 8b

20a+ 0 = 20a

Thus, 2(4a - 4b) + 4(3a + 2b) = 20a

-TheUnknownScientist

30 hours of vdvdkdjdbdvdkdjevjexhsjshdhevdkddjdjddhdhdbd jdmdjdhdbdjdissksjdjddhdkfjhfdjhddkhddhhdbd bb gun

Step-by-step explanation:

e kuan na dayun

Answer:

24 slices of pizza were available to be eaten

Step-by-step explanation:

Here, we want to get the number of slices of pizza available to be eaten

From the question;

a slice is 1/6 of a pizza

So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices

In each of the pizzas, there were 6 slices;

So the number of slices in 4 pizzas would be 6 * 4 = 24 slices

So, 24 slices of pizza were available to be eaten by the girls

Answer:

34.9%

Step-by-step explanation:

Z1=[tex]\frac{56-75}{8.6}[/tex] = -2.21

F(Z1) = 0.9861

Z2=[tex]\frac{72-75}{8.6}[/tex] = -0.35

F(Z2) = 0.6367

P(56<X<72)= 0.9862-0.6367= 0.349 = 34.9%

Answer:

6 sides

Step-by-step explanation:

The interior angle and exterior angle sum to 180° , then

12x + 12 + 5x + 15 = 180

17x + 27 = 180 ( subtract 27 from both sides )

17x = 153 ( divide both sides by 17 )

x = 9

Then

exterior angle = 5x + 15 = 5(9) + 15 = 45 + 15 = 60°

The sum of the exterior angles of a polygon = 360° , thus number of sides n is

n = 360° ÷ 60° = 6

Answer:

5/8

Step-by-step explanation:

Answer:

$31.44

Step-by-step explanation:

According to the word problem, Peter has a coupon for 15% OFF.

This means the price will reduce by 15%.

To solve this, first, change the percentage (15%) to decimal form.

To do this, divide the percentage by 100.

15 / 100 = 0.15.

0.15 is the decimal form of 15%.

Next, multiply the decimal form of the percentage by the price.

36.99 x 0.15 = 5.5485

Lastly, subtract the product from the original price.

36.99 - 5.5485 = 31.4415

In this case, the product goes above the hundredths place.

So we must round 31.4415 to the hundredths place.

31.4415 ≈ 31.44

Therefore, the sneakers are $31.44 after the discount of 15%.

Answer:

There is a 47cm difference between the two....

So you just added 28cm to 19cm to get 47cm....

Because 19-(-28) is 19 + 28.

Hope this helps :D

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

Im pretty sure this is the answer. A triangle is 180º so you do 180-45 and divide it by 2.

Answer:

67.5°

Step-by-step explanation:

The given angle is 45°, so the remaining to angles must collectively make up the rest of the 180°. In this situation, the opposite sides are congruent, and therefore the angles are identical. So, from the remaining 135° that need to be accounted for, we would simply divide by 2, and get 67.5°.

Answer:

Follows are the responses to this question:

Step-by-step explanation:

[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]

0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262

When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].

[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]

In point c:

It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim

In point d:

For point 1:  

The value of p is 0.1880 , that is higher than the 0.05

For point 2:

Yes

Answer:

29°

Step-by-step explanation:

:)

Answer:

20 cubic inches

Step-by-step explanation:

Answer:

83/2x^2-50x-8

Step-by-step explanation:

multiplique los parentensis

42x^2+6x-56x-8-1/2x^2

calcula la diferencia

83/2x^2+6x-56x-8

agrupe los terminos semejantes

83/2x^2-50x-8

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Now I can not be 100% sure since I can not see the chart, but I can go off of logic. So let´s get started

First we can eliminate answer B. Answer B does not make ANY sense. Why would the number 3 make a difference.

Now answer A and D. These answers are basically the same. So if one is true, the other is as well. For D, if it were the same number, just negative and positive, the sum would be 0.

So this makes A and D true

Answer C is backed up by answer D as well. They can only be the same distance if one is positive and the other is negative

Answer:

ED= 38º EA= 144º BDC= 308º

Step-by-step explanation:

done,

hope this helps

.......

Answer:

(3)

(4)

Step-by-step explanation:

but I could be wrong

Answer:

Its C

Step-by-step explanation:

Step-by-step explanation:

The given expression is :

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}=\sqrt5 x+y[/tex] ....(1)

Taking LHS of the above expression

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}[/tex]

Rationalizing both denominator and numerator.

[tex]\dfrac{2-\sqrt5}{2+3\sqrt5}\times \dfrac{2-3\sqrt5}{2-3\sqrt5}=\dfrac{4-6\sqrt5-2\sqrt5+15}{2^2-(3\sqrt5)^2}\\\\=\dfrac{19-8\sqrt5}{4-45}\\\\=\dfrac{19-8\sqrt5}{-41}\\\\=\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})[/tex]

Equation (1) becomes,

[tex]\dfrac{\sqrt5 \times 8}{41}+(\dfrac{-19}{41})=\sqrt 5\ x+y[/tex]

Equating both sides,

[tex]x=\dfrac{8}{41}[/tex] and [tex]y=\dfrac{-19}{41}[/tex]

Hence, this is the required solution.

Answer:

7/8 pounds

Step-by-step explanation:

pounds collected in a day = number of pounds collected in 8 days / number of days

7/8