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aleksley [76]
2 years ago
5

What expression is equivalent to (x+9)(x-2)-9x-6

Mathematics
1 answer:
Elden [556K]2 years ago
3 0

Answer:

x(to the 3rd power) +7x(to the 2nd power) − 27x − 6

Step-by-step explanation

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At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri
yawa3891 [41]

Answer:

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

Step-by-step explanation:

Let D = cost of one medium drink

Let P = cost of one large popcorn

If a couple bought 2 medium drinks and a large popcorn for $13.85:

⇒ 2D + P = 13.85

If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:

⇒ 3D + 2P = 23.90

Rewrite 2D + P = 13.85 to make P the subject:

⇒ P = 13.85 - 2D

Substitute into 3D + 2P = 23.90 and solve for D:

⇒ 3D + 2(13.85 - 2D) = 23.90

⇒ 3D + 27.7 - 4D = 23.90

⇒ D = 3.8

Substitute found value of D into P = 13.85 - 2D to find P:

⇒ P = 13.85 - (2 x 3.8) = 6.25

Therefore,

cost of one medium drink = $3.80

cost of one large popcorn = $6.25

3 0
2 years ago
A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4
Usimov [2.4K]
12 cubes of 1/4
Simply do 3 ><4=12 so 12 1/r cubes
4 0
3 years ago
A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the
guapka [62]

Answer:

7.22 feet

Step-by-step explanation:

From the question,

s = d/t................. Equation 1

Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance

make d the subject of the equation,

d = s×t.................... Equation 2

Given: s = 2.6×10000 feet per seconds, t = 1 hour =  3.6×1000 seconds.

Substitute these values into equation 2

d = (2.6×10000)/(3.6×1000)

d = 26000/3600

d = 7.22 feet.

Hence the shuttle travels 7.22 feet in an hour

6 0
2 years ago
10) Find the area of a circle that has the<br> circumference of 117 cm. Leave it as it.
garik1379 [7]

Step-by-step explanation:

Using the formulas

A

=

π

r

2

C

=

2

π

r

Solving for

A

A

=

C

2

4

π

=

117

2

4

·

π

≈

1089.33601

cm²

A

≈

1089.34

cm²

8 0
2 years ago
Question 2 A B C D E F G H
sleet_krkn [62]

Step-by-step explanation:

a. 2(y-8)

= 2y-16

b. 3(x-5)

= 3x-15

c.6(b-4)

= 6b-32

d.7(d-2)

= 7d-14

e.5(2-y)

= 10-5y

f.3(4-t)

= 12-3t

g.5(b-a)

=5b-5a

h.7(2-h)

= 14-7h

4 0
2 years ago
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