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Crank
3 years ago
5

Complete each geometric sequence. B. 40, 120, ___, ___ C. 200, 20, 2, ___, 0.02, ___

Mathematics
1 answer:
zvonat [6]3 years ago
4 0
B. 40, 120, 360, 1080
C. 200,20,2,0.2,0.002
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PLEASE HELP ME IVE BEEN ASKING FOR AN HOUR PLEASE
hoa [83]

Answer:

c is equal to 4

Step-by-step explanation:

5 0
3 years ago
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Find the equation of line passing through points A (1, 3) and B (3, 7).
Sidana [21]

Solution:

To find the equation of line passing through points A (1, 3) and B (3, 7).

we know that, to derive the equation of a line we first need to calculate the slope of the line. Slope m of a line at points (x_{1} ,y_{1}) and (x_{2}, y_{2}) is given by - m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Slope of the line at point A(1,3) and B(3,7)

m=\frac{7-3}{3-1}.

m=\frac{4}{2}.

m=2.

Equation of a line using a point and a slope , y-y_{1}= m(x-x_1)

y-3= 2(x-1)

y-3= 2x-2

y= 2x-2+3

y= 2x+1

The equation of line passing through points A (1, 3) and B (3, 7) : y= 2x+1

4 0
3 years ago
pat needs 14 sticks of pepperoni to make 28 pizzas.How many sticks of pepperoni are needed to make 36 pizzas
Marizza181 [45]

Answer:

18 sticks of pepperoni

Step-by-step explanation:

In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.

Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.

\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}

Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)

7 0
2 years ago
A tire company produced a batch of 6 comma 700 tires that includes exactly 250 that are defective.
mezya [45]

the probability that if you pick only one, it's defective, is 250/6700

Therefore, the probability that one is not defective is 6450/6700

a. You want all 4 to not be defective: (6450/6700)^4

b. all 100 have to be not defective: (6450/6700)^100

If you type this into a calculator, you will get about 0.022, so a probability of 2 % that all of them are not defective. As this is a very small probability, the outlet should plan with returned tires.

8 0
3 years ago
Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
3 years ago
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