Put the known terms together on one o
equation.
Example: 3x + 6 = 30
3x = 30 - 6
1. 2b10 =12
2.8 + 5x = 41
3 6 - 42 = 12.
4. 3n = 60 +n
5. 7a+ 5 = 54
ale
ACTIVITY 2:
Solve and check. Show your complete solutions.
1. x+ 5 = 2
2 X – 10 = 22
3. 41 + 3x = -29-18
4. x-27 = 8 + 10
5. 5x + (-55) = 20
ACTIVITY 3:
Solve each problem. Show your solution.
1. What is the number if twice a number is increased by 9
2. If twelve less than a thrice a number is 3, what is the n​

The compound interest implies that Juan owes $163.52 today

The given variables can be represented as:

The amount from a compound interest can be calculated using:

A = P(1 + r/n)^nt

Also from the question, we have

n = 12

This is so because the loan is compounded 12 times in a year as a result of being compounded monthly

So, we have

A = P(1 + r/n)^nt

A = 128 * (1 + (50%/12))^(0.5*12)

Evaluate

A = 163.52

Hence, the amount owed is $163.52

Read more about compound interest at:

brainly.com/question/2455673

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Answer:

3(2x2-4x+3)

Step-by-step explanation:

factor out 3

Answer:

Assuming you want to know the volume,

volume = 2210.6 in³

Step-by-step explanation:

radius = diameter/2 = 8/2 = 4 in

area of base = πr² = (3.14)(4²) = 50.24 in²

volume of tube portion = base area x height = 50.24 x 40 = 2009.6 in³

cone volume = 1/3bh = 1/3(50.24)(12) = 200.96 in³

total volume = 2009.6 + 200.96 = 2210.56 in³

Answer:

the answer is C

Step-by-step explanation:

∠2=∠4 corresponding

∠7=∠4 vertically opposite

Answer:

C. ∠2 and ∠7

Explanation:

∠2 = ∠4 through corresponding angles theorem

∠7 = ∠4 through the vertical angles theorem

Answer:

The Millers paddled 4,666 miles each day.  If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.

Step-by-step explanation:

Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :

14/3 = X

4.666 = X

Thus, the Millers paddled 4,666 miles each day.

In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:

4.666 / 2 x 6 = X

2.333 x 6 = 13.9999

Thus, the distance traveled by the Millers would have been the same.

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Range =Largest - smallest

82 - 53=

29

Answer:

0.35? That is correct?

Answer:

the correct answer would be B

Answer:

B

Step-by-step explanation:

I just did this problem

Answer:

D. 12

Step-by-step explanation:

93/3 = 31

155/5 = 31

248/8 = 31

In every case, you see that the number of pages is 31 times the number of hours.

For 372 pages, the number of hours is 372/31 = 12

Check: 372/12 = 31

Answer: D. 12

Answer:

x^2+10x+21

Step-by-step explanation:

Blue box: x*x=x^2

Green box: x*3=3x

Purple box: 7*x=7x

Orange box: 7*3=21

x^2+(3x+7x)+21

Combine like term

A: x^2+10x+21

Answer:

1.25

Step-by-step explanation:

5/4=1.25

Answer:

Equation form: x=3, y=-2

Point Form: (3,-2)

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

The complete question is

The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's perimeter?

Solution -

We will find the length of all the sides of pentagon and then add them  

Length of AB = Sqrt ((3-0)^2+(5-0)^2) = Square root of 9+25 = 5.83

Length of BC = Sqrt ((3-3)^2+(8-5)^2) = Square root of 9 = 3

Length of CD = Sqrt ((8-3)^2+(5-8)^2) = Square root of 5^2+-3^2

= 5.83

Length of DE = Sqrt ((8-8)^2+(0-5)^2) = Square root of 25 = 5

Length of EA = Sqrt ((8-0)^2+(0-0)^2) = Square root of 64= 8

Perimeter=8+5+5.83+5.83+3= 27.66 units  =27.66 units

Option A

Answer:

40 sq. units

Step-by-step explanation:

1) x = 15

2) x = 34.1760149812

3) x = 2.25

4) x = 1.6666666

Answer:

15) 30°

16) 49.46°

Step-by-step explanation:

15) sin ? = 12/24

sin ? = 0.5

? = 30°

16) cos ? = 13/20

cos ? = 0.65

? = 49.46°

Answer:

Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds

Together = 5-9/10 pounds

Step-by-step explanation:

sugar = 7(2/10)

flour = 7(5/10)

sugar + flour = 7(2/10) + 7(5/10)

sugar = 14/10 or 1-2/5 pounds

flour = 35/10 or 3-1/2 pounds

Answer:

y=1/2x

Step-by-step explanation:

y=-x would go the other way so cross that one

y=2x would go up really quickly so cross that one

y=0.001x would be more like a horizontal line so cross that one

y = 1/2 is correct  

Answer:

3

Step-by-step explanation:

I believe the answer is 3 because:

- 6 + 9 = 3

minus and plus are equal to minus therefore we minused it and there is no minus sign with 3 because we always use the sign which is with the greater number.

— hope this helped :)!

Answer:

It would cost Jeremy $66 for 6 CDs

Step-by-step explanation:

3 CDs for $33

3(2)=6

$33(2)=$66

Answer:

Perimeter of the figure = 198.54 feet

Step-by-step explanation:

Given figure comprises a rectangle and two semicircles.

Perimeters of two semicircle = 2πr

Here 'r' = Radius of the circle

Perimeter of two semicircles at the sides of the rectangle = [tex]2\pi (\frac{25}{2})[/tex]

= 25π feet

= 78.54 feet

Length of side AB = Length of side CD = 60 feet

Perimeter of the given figure = 2(60) + 78.54

                                                = 198.54 feet

Answer:

$80.66 and $48

Step-by-step explanation:

1.

Find the total cost of your outfit. 49+25=$74

Find 9% of 74 by doing 0.09x74, which is 6.66. This means that the sales tax is $6.66. 74+6.66=$80.66.

2.

Find 25% of 64 by doing 0.25x64=16. 64-16=$48.

Answer:

Volume of a cone = 50 in³

Step-by-step explanation:

diameter = 5 in

radius = 2.5 in

height = 8 in

Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 2.5 × 2.5 × 8)/3

V = 150/3

V = 50 in³

Answer:

20.943951023932 m^3

Step-by-step explanation:

v=1/3pi(r)^2h

v=1/3pi(2)^2(5)

v=20.943951023932 m^3

Answer:

62.8

Step-by-step explanation:

2 × 2 × 3.14 × 5 = 62.8

9514 1404 393

Answer:

  39.375 : 65.625

Step-by-step explanation:

The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.

  3/8 × 105 = 39 3/8

  5/8 × 105 = 65 5/8

The divided quantities are ...

  39.375 : 65.625

Answer:

63

Step-by-step explanation

180-29-88=63