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disa [49]
3 years ago
8

What is the common difference or common ratio of the sequence 3,7,11,15...?

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer: you only add 4 each time

Step-by-step explanation:

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A garage sells 12 different models of a car in 9 different colours.
fomenos

Answer:

108

Step-by-step explanation:

12 x 9 =108

7 0
3 years ago
Read 2 more answers
A car salesman makes 10% commission on the first $ 10,000 and 12% on the remaining the 12,500 of his sales. How much commission
marissa [1.9K]
10,000 x .10 = $1000
22500-10000=12500 x .12 = $1500
$1000 + $1500 = $2500
6 0
3 years ago
Part of the population of 7,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11
Sergio039 [100]

Answer:

1,705 elk

Step-by-step explanation:

7,750 / 50 =  155 groups of elk

155 groups x 11 per group = 1,705 elk.

5 0
3 years ago
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
An algebraic expression for 2 times a number plus 5
natali 33 [55]

Answer:

2x+5

Step-by-step explanation:

X represents the number in "2 times a number." You could insert any number into x.

8 0
3 years ago
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