MATHEMATICS HIGH SCHOOL

Whats an explicit formula for
3 + 10 + 17 + 24 + ...

Answers

Answer 1
Answer: 7(x-1)+3 where x is how many numbers are being added together

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Ben has some tiles. Each tile is the shape of a parallelogram. 6cm at the top and 10cm on the side He places the tiles in a row to make a shape with area 720cm2. How many tiles does he use?

Answers

Answer:

12 tiles

Step-by-step explanation:

First we need to find the area of the parallelogram, which can be found by the product of the two dimensions.

If the parallelogram has 6 cm and 10 cm, the area is 6 * 10 = 60 cm2

Then to find how many tiles are needed to fill the area of 720 cm2. we can do a rule of three:

1 tile -> 60 cm2

x tiles -> 720 cm2

x = 720 / 60 = 12 tiles

Please help me with my question!!

Answers

Answer:

Step-by-step explanation:

y = 10x + 50

x ---> no of weeks

y - intercept = 50
Y= 450 only becuase if not it will work

Which number sentences show how to solve the problem?Luis bought 5 bags of red balloons for the party. Ruby bought 8 bags of mixed-color balloons. Each bag contains 35 balloons. How many balloons did Luis and Ruby buy altogether?

Choose all answers that are correct.

A.
5 + 8 = 13 and 13 × 35 = 455

B.
5 × 8 = 40 and 40 + 35 = 75

C.
5 × 35 = 175, 8 × 35 = 280, and 175 + 280 = 455

D.
45 × 15 = 675 and 675 ÷ 9 = 75



im so confused

Answers

a. 5 + 8 = 13 and 13 × 35 = 455 &

c. 5 × 35 = 175, 8 × 35 = 280, and 175 + 280 = 455

The altitude of an equilateral triangle is 7 root 3 units long. The length of one side of the triangle is ____ units. A. 7
B. 14
C. 14 root 3
D. (7 root 3) /2

Answers

The altitude of an equilateral triangle:
h = s √3 / 2, where s is the length of one side of the triangle.
s √3 /2 = 7 √ 3   / : √3
s / 2 = 7
s = 7 * 2
s = 14 units
Answer:
B ) 14

Answer:

B ) 14

Step-by-step explanation:

The altitude of an equilateral triangle:

h = s √3 / 2, where s is the length of one side of the triangle.

s √3 /2 = 7 √ 3   / : √3

s / 2 = 7

s = 7 * 2

s = 14 units

Given: sin(18m-12)=cos(7m+2), find the value of m.

Answers

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a.

$10


b.

$12


c.

$14


d.

$20

Answers

We will find the rate of Greg and Josh earning money that is the amount of money they receive per unit time (hour)

 

Since the trip is in 3 weeks,

Number of hours Josh worked = 3 weeks * (5 hours/week) = 15 hours

Number of hours Greg worked = 3 weeks * (8 hours/week) = 24 hours

 

Josh’s rate = $480/15 hrs = $32/hr

Greg’s rate = $480/24 hrs = $20/hr

 

Therefore

Josh makes $12/hr more than Greg

Answer:

IT IS B

Step-by-step explanation:
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