The sum of the first 5 terms of a geometric sequence is 496, and the common ratio is 1/2. what is the first term

!!20 POINTS!! Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number o

pentagon [3]

Answer:

$G=-\frac{5}{4}t+15$

Slope = $-\frac{5}{4}$

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

'm' = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the line passing through (8, 5) and (4, 10),

m = $\frac{10-5}{4-8}$

m = - $\frac{5}{4}$

Equation of line will be,

G = $-\frac{5}{4}t+b$

Since, point (8, 5) lies on this line,

5 = $-\frac{5}{4}(8)+b$

5 = -10 + b

b = 15

Therefore equation of the function will be,

G = $-\frac{5}{4}t+15$

Here slope of the function represents the $\frac{5}{4}$ gallons of gas is consumed to drive the car for one hour.

4 0

3 years ago

The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time

olchik [2.2K]

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

4 0

3 years ago

Find the value of y in the diagram below.

larisa [96]

$Answer: \\ 4(2y - 20) + 2y = 720 \\ \Leftrightarrow 2(2y - 20) + y = 360 \\ \Leftrightarrow 4y - 40 + y = 360 \\ \Leftrightarrow 5y = 400 \\ \Leftrightarrow y = 80°$