Find the sum of the first 100
terms of the arithmetic
sequence
a1=15 and a 100=307

30(3m-5)=10(m+1);

90m-150=10m+10;

90m-10m=150+10;

80m=140;

m=140/80=14/8=1.75

Answer:

m = 2

Step-by-step explanation:

If you're dividing 10 by 3m-5, please enclose the 3m - 5 inside parentheses to eliminate any ambiquity:

Solve   30/(m+1) =  10/(3m-5)

Here we have the LCD (m+1)(3m-5).  Multiply both sides of this equation by this LCD and simplify the results:

                     30                            10

(m+1)(3m-5)--------- = (m+1)(3m-5)----------

                    m+1                           3m-5

After cancelling, we have:

       30(3m-5)         = 10(m+1),

which, when expanded, comes to:

  90m - 150 = 10 m + 10

Combining like terms, we get:

80m = 160, and so m = 2.

Answer:

Draw a closed circle on -6 and shade to the left.

Answer:

∠2 = 80°

Step-by-step explanation:

Since BD is a diameter then

∠1 + ∠2 = 180°, that is

100° + ∠2 = 180° ( subtract 100° from both sides )

∠2 = 180° - 100° = 80°

Answer:

B. 80

Step-by-step explanation:

We have been given a circle. We are asked to find the measure of angle 2.

Since BD is diameter of our given circle, so angle 1 and angle 2 will be linear pair of angles.

We know that linear angles add up-to 180 degrees, so we can set an equation as:

[tex]m\angle 1+m\angle 2=180^{\circ}[/tex]

[tex]100^{\circ}+m\angle 2=180^{\circ}[/tex]

[tex]100^{\circ}-100^{\circ}+m\angle 2=180^{\circ}-100^{\circ}[/tex]

[tex]m\angle 2=80^{\circ}[/tex]

Therefore, measure of angle 2 is 80 degrees and option B is the correct choice.

Final answer:

The cost of 1kg of apples is £0.45, calculated using two equations derived from the given information about the cost of oranges and apples.

Explanation:

To work out the cost of 1kg of apples, we can set up two equations based on the information given: 4.5kg of oranges and 3kg of apples cost a total of £3.87, and 2.5kg of oranges cost £1.40. Let's assume the cost per kilogram of oranges is 'O' and the cost per kilogram of apples is 'A'. The equations would be:

4.5O + 3A = 3.87 ........(1)

2.5O = 1.40 ........(2)

From equation (2), we can calculate the cost of oranges per kilogram:

O = 1.40 / 2.5

O = £0.56 per kilogram

Now substitute the value of 'O' in equation (1) to find 'A':

4.5(0.56) + 3A = 3.87

2.52 + 3A = 3.87

3A = 3.87 - 2.52

3A = 1.35

A = 1.35 / 3

A = £0.45 per kilogram

Therefore, the cost of 1kg of apples is £0.45.

Answer:

go back to hong kong

imma send you back to hong kong

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

r=2

so multiply third term by 2

Answer: -8

Step-by-step explanation:

We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".

We need to find the common ratio of this geometric sequence:

Divide one term by the previous term:

[tex]r=\frac{-4}{-2}\\\\r=2[/tex]

Then, the next term asked in the exercise can be found by multiplying -4 by 2.

Therefore, this is:

[tex]next\ term=(-4)(2)\\\\next\ term=-8[/tex]

Answer: 221.56

Step-by-step explanation:  (3.14)(r)^2

r = half diameter

Answer:

THE ANSWER IS C.435

Step-by-step explanation:

Answer:

The correct answer would be option C, $435

Explanation:

In real financial banking transactions, Debits are basically the withdrawals and credits are deposits.  

Because the problem states that there was an over withdrawal on Thursday but not on Saturday, this means that the ending balance on Thursday was a negative balance. On Saturday, the remaining balance was a positive balance. 500 and 480 as a beginning balance doesn't give a negative balance on Thursday. 400 as a beginning balance gives a negative balance on Thursday as well as Saturday.

                    Debit    Credit    Balance

Sunday                                      435

Monday        158                        277

Tuesday        69          44           252

Wednesday  175                           77

Thursday       131         38             -16

                      25                          -41 Overdraft fee

Friday                          53              12

Saturday         22         14               4

So the correct answer is option C, $435

Final answer:

4 feet is equivalent to 1 1/3 yards or 48 inches, as there are 3 feet in a yard and 12 inches in a foot.

Explanation:

The student has asked what is equivalent to 4 feet. To answer this, we must understand that feet and yards are units of measurement commonly used to measure length or distance. In the United States customary system, 1 yard is equivalent to 3 feet. Therefore, to find the equivalent of any number of feet in terms of yards, one can divide the number of feet by 3. For 4 feet, this would be calculated as follows:

4 feet ÷ 3 feet/yard = 1 1/3 yards.

Alternatively, since 4 is just 1 more than 3, we can see that 4 feet is 1 yard plus 1 additional foot, which confirms our conversion of 1 1/3 yards. Other times, feet may be converted into inches, where 1 foot equals 12 inches. In this case, 4 feet x 12 inches/foot equals 48 inches.

Answer:

y = -12

Step-by-step explanation:

It's a horizontal line that goes through the point (0,-12). Look up HOY VUX on Google and that should explain the special cases for lines.

Answer:

Step 2: 4 ( 2 ) + 4 ( 3 x )

Step-by-step explanation:

The student didn't factorise 8 x + 12 properly

Answer:

The estimate is reasonable.

Step-by-step explanation:

Jamie's estimate seems reasonable.

We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.

We can solve the given fraction for confirmation,

So,

[tex]= 1.43 * (\frac{-24}{47} )\\=1.43*(-0.5106)\\=-0.7302[/tex]

which is near to -0.75 so the estimate of Jamie was right ..

Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.

The value of the expression 1.43 × (-24/47) is indeed close to -0.75. To show this, let's calculate it step by step:

Therefore, Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.

Answer:

13532

Step-by-step explanation:

398 x 34 = 13532

Answer:

398 x 34 = 13532

Step-by-step explanation:

Answer: 57

Step-by-step explanation:

53+71+89+10+62=285

285/5=57

Answer: 57

Step-by-step explanation:

Order the data least to greatest: 10, 53, 62, 71, 89

then add them to get the sum of: 285

now divide that by how many numbers are in the data set so: 285/5

= 57

Answer:

6 , 1 , 2

61, 62, 16, 12, 26 , 21 , 612 , 216 , 621 , 612 , 126 , 162 , 261 ,

Step-by-step explanation:

think thats it hope this helps

For this case we make a rule of three, based on the fact that 9 ounces of mushrooms cost $ 5.

9 oz --------------> 5 $

13oz ------------> x

Where "x" represents the amount of dollars that cost 13 ounces of mushrooms.

[tex]x = \frac {13 * 5} {9} = \frac {65} {9} = 7.222222[/tex]

Rounding out, we have that 13 ounces of mushrooms cost $ 7 with 22 cents.

Answer:

$ 7 with 22 cents

Answer:

Step-by-step explanation:

9 oz cost $5 therefore you want to find the cost per oz which would be $5/9oz= 0.55555556 per oz

0.55555556 x 13oz = $7.222222 which is $7.22

Step-by-step explanation: To write 3.8 as a percent multiply 3.8 by 100 to obtain 380. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.

Answer:

8(2g + 1)(4g² - 2g + 1)

Step-by-step explanation:

Given

64g³ + 8 ← factor out 8 from each term

= 8(8g³ + 1) ← 8g³ + 1 is a sum of cubes and factors as

8g³ + 1 = (2g + 1)((2g)² - 2g + 1² ) = (2g + 1)(4g² - 2g + 1)

Hence

64g³ + 8 = 8(2g + 1)(4g² - 2g + 1)

Answer:

the correct answer is D

Step-by-step explanation:

trust

Meter :) hope this helps!

Answer:

Meters

Step-by-step explanation:

City planner should use Meter unit as the distance within the city blocks are much higher that the distances which can be measured in inches and they are much lesser than the distances which can be measured in Miles.

For instance, Two blocks of a city can not be few miles away or few inches away , but they can be few meters away from each other.

Hope that helped .

Answer:

variable= x

x ≤ 100

Step-by-step explanation:

it would be x ≤ 100 because it says it can hold as many AS 100, making it less than or equal to 100

Answer:

C

Step-by-step explanation:

1 / (cos x - sin x) = cos x + sin x

Multiply:

1 = (cos x + sin x) (cos x - sin x)

Distribute:

1 = cos² x - sin² x

Use trig identity:

sin² x + cos² x = cos² x - sin² x

2 sin² x = 0

sin x = 0

x = πk

Answer C.

Answer:

[tex]\large\boxed{A:\ 4\sqrt5}[/tex]

Step-by-step explanation:

Look at the picture.

ΔABC and ΔADB are similar. The corresponding angles are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AD}{AB}[/tex]

We have:

[tex]AB=x,\ AC=5+11=16,\ AD=5[/tex]

Substitute:

[tex]\dfrac{x}{16}=\dfrac{5}{x}[/tex]                 cross multiply

[tex]x^2=(16)(5)\to x=\sqrt{(16)(5)}[/tex]         use √ab = √a · √b

[tex]x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5[/tex]

-160

I'm so sorry if I get this wrong I'm still new!

Answer:

12 inches

Step-by-step explanation:

[tex]18 \times (2 \div 3)[/tex]

Answer:

27 inches

Step-by-step explanation:

We can use proportions to solve this problem.  Put the drawing size over the real life size

3 inches      x inches

------------- = -----------

2 ft                18 ft

Using cross products to solve

3 * 18 = 2 * x

54 = 2x

Divide each side by 2

54/2 =2x/2

27 =x

The stage should be 27 inches in the drawing

Answer:

C

Step-by-step explanation:

In arithmetic series

[tex]\sum \limits _{k=1}^{24}(-6+0.5k)[/tex]

we have

[tex]a_1=-6+0.5\cdot 1=-5.5\\ \\a_{24}=-6+0.5\cdot 24=-6+12=6\\ \\S_{24}=\dfrac{a_1+a_{24}}{2}\cdot 24=\dfrac{-5.5+6}{2}\cdot 24=0.5\cdot 12=6[/tex]

Thus, the value of the series is equal to the value of the 24th number in the series.

Answer:

(2,5) is a solution of the inequality

Step-by-step explanation:

we have

[tex]y\leq4x-3[/tex]

The solution of the inequality is the shaded area below the solid line [tex]y=4x-3[/tex]

Remember that if a ordered pair is a solution of the linear inequality, then the ordered pair must lie on the shaded region of the inequality

Let

A(-2,5),B(2,5),C(1,5),D(1,4)

Plot each point

The point B(2,5) lie on the shaded region

therefore

(2,5) is a solution of the inequality

see the attached figure

Answer:

1440 beats

Step-by-step explanation:

Given that a doctor measured a patient's resting pulse rate at 80 beats per minute.

i.e. if no of beats in a dependent variable on time then we have a linear relationship between y - no of beats and x - no of minutes

Here slope= rate of change of y with respect to x [tex]= m=80[/tex]

And we have y intercept as 0 since when time is 0 no heart beat. i.e. (0,0) is a point on the line

The equation would be

[tex]y=80x[/tex],x≥0

When  [tex]x=18, \\y = 18(80)\\y = 1440[/tex] beats.

Graph is enclosed.

Answer:

C. a 180° rotation about its center

Step-by-step explanation:

The question is on rotation of an object about the origin through 180°

When a point B, (h,k) is rotated about the origin 0 through 180° both clockwise and anticlockwise directions , the new position is B'(-h,-k)

Example, if we have point K (5,8) rotated through 180°, clockwise or anti-clockwise about the origin the new position will be; K'(-5,-8)

A 180° rotation about the center of a parallelogram will always map the parallelogram back onto itself due to the shape's symmetry.

The transformation that will always map a parallelogram onto itself is a 180° rotation about its center. This is because a 180° rotation essentially flips the shape over, but, because a parallelogram is symmetrical, it would still look the same. For example, imagine a parallelogram ABCD with point A at the top and AB as the base. If you rotate it 180°, point A was at the top and now is at the bottom, but the shape is still a parallelogram. Similarly, the other transformations may not necessarily map the shape back onto itself.

https://brainly.com/question/12456893

#SPJ3

Answer:

[tex]\large\boxed{\dfrac{5}{10}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000[/tex]

Answer:

means are

8th:4.5

7th:5.5

6th:4

7th is most

Step-by-step explanation: