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dusya [7]
1 year ago
15

Point F lies between points G and M. GF What is the value of x? 10x +4, FM = 20, and GM = 13x​

Mathematics
1 answer:
egoroff_w [7]1 year ago
3 0

The value of x is 8.

<h3>How to find the value of x?</h3>

Equations are written as two expressions joined by an equal sign. The terms on either side of the equal sign are called the "left side" and "right side" of the expression. It is often assumed that the right side of the equation is zero.

given that Point F lies between points G and M.

GF = 10x +4, FM = 20,GM = 13x.

so now GM = GF + FM

3x =( 10x + 4) + 20

13x = 10x + 24

13x - 10x = 24

3x = 24

x = 24/3

x = 8

so, the value of x is 8.

now check if it is wrong or correct

13(8) = 10(8) + 4 + 24

104 = 80 + 28

104 = 104

Learn more about equations, refer

brainly.com/question/13965302

#SPJ9

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-3x - 6 = 2x - 14x - 6
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Step-by-step explanation:

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3 years ago
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

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7 0
1 year ago
Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more
DIA [1.3K]

Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

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3 years ago
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