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2 years ago

What is the area of a triangle with a base of 7x and height of 8x expressed as a monomial?

Mathematics

1 answer:

storchak [24]2 years ago

7 0

Answer:

A = 28x^2

Step-by-step explanation:

The area of a triangle is equal to

A = 1/2 b*h

The base is 7x and the height is 8x

A = 1/2 (7x)*(8x)

A = 1/2 (56x^2)

A = 28x^2

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two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each

padilas [110]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

So there were 150 tickets to sit on a bench and 350 - 150 = 200 tickets to sit on the lawn.

5 0

3 years ago

Radha is trying to choose between two bike rental companies, Company A and Company B.

docker41 [41]

Answer:

Part A. After 7 hours the amount charged will be the same

Part B. The cost of renting the bike for that many hours (7) will be 60$.

Step-by-step explanation:

5h + 25 = 6h + 18

5h - 6h = 18 - 25

-h = -7

h = -7/-1

h = 7

Company A.

y = 5h + 25

y = (5*7) + 25

y = 35 + 25

y = 60

Company B.

y = 6h + 18

y = (6*7) + 18

y = 42 + 18

y = 60

6 0

2 years ago

Please awnser questions, no links, no I dont know 2.

uysha [10]

3 boxes of 12″ =36 = 2 boxes of 18″

so shortest height at which the 2 stack will be the same height =36 inches

4 0

3 years ago

How many more pairs of parallel sides does a regular octagon have than a

iVinArrow [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

Which point is on the graph of f(x) = 2*5^x

vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

$f(x)=2(5^x)$

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 0$

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

$f(x)=2(5^1)\\f(x)=2(5)=10$

Compare the value of f(x) with the y-coordinate of the ordered pair

$10=10$

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 10$

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

$f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250$

Compare the value of f(x) with the y-coordinate of the ordered pair

$19,531,250\neq 1$

therefore

The ordered pair is not on the graph of f(x)

7 0

3 years ago