Multiply 13.5 x 12.1 using a regrouping strategy. Explain your answer and each step that you take.

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

104

Step-by-step explanation:

EUJDJFKFKDEISHXHJRD

Answer:

104

10 × 10 = 100

100 + 4 = 104

Therefor, the answer is 104.

Answer:

x = 55

Step-by-step explanation:

Here, we want to get the value of x

From the diagram , we can see that we have a right- triangle

and thus,

x + 35 = 90

x = 90-35

x = 55

Answer:

24

Step-by-step explanation:

Have a blessed day! :)

Answer:

The answer is n = 17

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Hoped this helped!

brainly, please?

Answer:

i have done the solution calculate yourself

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Answer:

it is a

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Slope: 3

y-intercept: (0,1)

Answer:

595,000

Step-by-step explanation:

find 5% of the present population

5/100*350,000 =17,500

there fore the population increases by 17,500 yearly

in 14 yrs time

=(14*17500) + 350,000

=245000+350000

=595000

Answer:

19 five dollar bills

30 ten dollar bills

Step-by-step explanation:

x=number of $5 bills

y=number of $10 bills

x+y=49

x=49-y

5x+10y=395

substitute for x

5(49-y)+10y=395

245-5y+10y=395

245+5y-245=395-245

5y=150

5y/5=150/5

y=30

x=49-30=19

Answer:

Hope this helped :D  Because summation means adding both values. So when we add negative integer, it will be more negative and hence resultant value will be smaller than both the integers.

Answer:

4.5 hope this helps if see well there

1) 2/5 x 3 =?

Since we cannot possibly cancel the denominators, let us multiply 2 and 3.

Answer will become, 6/5.

2) 2/3x3 =?

We can cut 3 and 3.

Answer will become, 2.

3) 2/5 x 3=?

This is a repeated question and the answer remains the same as the 1st question's answer, 6/5.

4) 3/2 x 3=?

We cannot cancel the denominators, let us multiply 2 and 3.

Answer is, 9/2.

Answer:

3.7

Round 5 up

Answer:

as decimal is approximately: 3.69231

Step-by-step explanation:

Answer:

14x7=98

Step-by-step explanation:

First you see the line going down and there is the height 7 you can move that tiny triangle to the left where the parallelogram can be made into a rectangle.

all you need is to multiply base x height

base 14cm height 7cm pls brainliest

hope this helps!

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

Answer:

x = 21

Step-by-step explanation:

5x + 18 = 7x - 24

=> 5x - 7x = - 24 - 18

=> -2x = - 42

=> x = -42 / -2

=> x = 21

Hope it helps :)

Please mark my answer as the brainliest

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

9514 1404 393

Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

Answer:

Radius is 3.5 cm

Diameter is 7 cm

Step-by-step explanation:

Radius is half the diameter

They give you the diameter at 7 cm

Then you have to half that to get 3.5 cm as the radius

Answer:

The answers are the diameter is 7 because whatever the line across is it's the diameter and the radios is half of what the diameter is so whatever is half of 7 is your radios.

Step-by-step explanation:

Diameter: 7

Radios: 3.5 or 3 1/2

Answer:

D

Step-by-step explanation:1x1x1=1

Answer:

x = 14

Step-by-step explanation:

15² = x² + 6²

225 = x² + 36

189 = x²

√189 = x

x = 13.7

x = 14

Answer:

60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$

Step-by-step explanation:

Answer:

the total would be 1.50

Step-by-step explanation:

Answer:

31,000 and 6

Step-by-step explanation:

The product of 0.031 and 1,000,000 is 31,000, because the decimal point in 0.031 moves  6 places to the right.

Hope it helps :)

Please mark my answer as the brainliest

Answer:

0.00000003-6

Im doing a chalenge

Please like I need to win

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

9514 1404 393

Answer:

  4.7124 mi

Step-by-step explanation:

  (3.3 mi/h) · (1.428 h) = 4.7124 mi

Each team member ran 4.7124 miles yesterday.

Answer:

Step-by-step explanation:

x²-bx-22=0

put x=4

4²-4b-22=0

16-4b-22=0

-4b-6=0

2b+3=0

b=-3/2

x²-3/2x-22=0

2x²-3x-44=0

2x²-11x+8x-44=0

x(2x-11)-4(2x-11)=0

(2x-11)(x-4)

roots are 11/2,4

The required value of the b  is -3/2, and another root of the given equation is  -11/2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x² - bx - 22 = 0

As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2

x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0

root are,
x = 4 and -11/2

Thus, the required value of the b  is -3/2, and another root of the given equation is  -11/2.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

Step-by-step explanation:

Answer:

i think im to late sorry

Step-by-step explanation: