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3 years ago

Find the missing term in the geometric sequence. 180,___,5

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

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The total number of restaurant-purchased meals that the average person will eat

ella [17]

78 meals are eaten in a restaurant, 58 meals are eaten in a car, 33 meals are eaten at home and the question is solved by using linear equations.

What is the linear equation?

A linear equation is an algebraic equation of the form y =mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given that the total number of meals is 169.

Assume that,

a = number of meals eaten in a restaurant

b = number of meals eaten in a car

c = number of meals eaten at home

a + b + c = 169 .....(i)

Since the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13.

Thus b + c = a + 13 .....(ii)

Again twenty more restaurant-purchased meals will be eaten in a restaurant than at home.

a = 20 + c .....(iii)

Subtract equation (ii) from (i)

a + b + c - b - c = 169 - a - 13

2a = 156

Divide both sides by 2

a = 78

Substitute a = 78 in equation (iii)

78 = 20 +c

c = 58

Putting c =58 and a =78 in equation (ii)

b + 58 = 78 + 13

b = 33

To learn more about system of linear equation, click on below link:

brainly.com/question/19786981

#SPJ1

Question:

The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 169. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.

8 0

1 year ago

Jackie starts walking at the beginning of a trail that is 1.6 miles long and walks to the end.

Reptile [31]

Answer:

Step-by-step explanation:

Multiply first to find how far she walked

Divide to find how many 0.5 are in the distance

4 0

2 years ago

If you walk to school at a rate of 3 miles per hour, how long will it take you to walk 6 miles?

lozanna [386]

Answer:

6/3=2, it will take u 2 hours to walk to school

6 0

2 years ago

Read 2 more answers

I need help on this please! No links Study guide for exam.

astraxan [27]

Answer:
area = 246.49
perimeter = 31.4

step-by-step explanation:
area of a circle = πr^2
π5^2
15.7 rounded ^2
246.49
looking for circumference
c = 2πr
6.28(5)
31.4
i will help you on 2 once you tell me the radius or diameter of the circle

3 0

2 years ago

Giselle a pendant on her necklace that is the shape of a regular hexagon. On the pendant, there are lines for the center of each

Nina [5.8K]

Answer:

The area of the pendant is 12 square centimeters.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

Giselle a pendant on her necklace that is the shape of a regular hexagon. On the pendant, there are lines for the center of each vertex that divided it into congruent triangles. Each triangle has an area of 2 square centimeters.

$What\ is\ the\ area\ of\ the\ pendant?$

Now, to get the area of pendant.

In the hexagonal pendant there are congruent triangles that are divided from the lines of the center of each vertex.

Each triangle's area = 2 square centimeters.

As, we see in the figure below there are six congruent triangles in the hexagonal pendant.

Hence, the number of triangles = 6.

So, to get the area of pendant we multiply each triangle's area by the number of triangles:

$2\ cm^2\times 6\\\\=12\ cm^2.$

Therefore, the area of the pendant is 12 square centimeters.

7 0

3 years ago