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son4ous [18]
3 years ago
11

The rectangle shown has a perimeter of 78 cm and the given area. Its length is 3 more than five times its width. Write and solve

a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

So W is going to stand for width and L is going to stand for length.

L= 2W+6

78=2L + 2W

Those are the two equations you will use. So plug in L=2W+6 into the other one and solve.

78= 4W+12 +2W

(simplify)

78=6W+12

(-12 from both sides)

66=6W

(divide by 11)

W=11

Replug W into your equation to find L.

L=22+6

(simplify)

L=28

I hope this is right

Step-by-step explanation:

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The number of bacteria present in a laboratory
Reil [10]

Answer:

The answer is B.500

Step-by-step explanation:

The original equation containing unknown variables would be 500(t) (with "t" representing the number of days)

So if you fill the variable in with a 2, that means it's been 2 days with the increase of 500 bacteria each day.

That means the initial number of bacteria must be 500.

If it's been 2 days and you want to determine the bacteria number, then multiply 500 by 2 and you get yourself 1000 bacteria.

7 0
3 years ago
Read 2 more answers
The equation y = 4x represents the relationship between time, x, and distance traveled, y. Which table represents this relations
nexus9112 [7]

Answer:

the answer is graph 2

Step-by-step explanation:

i did the test on edgenuity

7 0
3 years ago
What is the solution to the system please help
IrinaVladis [17]

Answer:

(-\frac{50}{13},-\frac{12}{13})

Step-by-step explanation:

To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:

y=-\frac{4}{5}x-4

y=\frac{1}{2}x+1

You can now set them equal to each other:

-\frac{4}{5}x-4=\frac{1}{2}x+1

Add 4 to both sides:

-\frac{4}{5}x=\frac{1}{2}x+5

Multiply both sides by 2:

-\frac{8}{5}x=x+10

Multiply both sides by 5:

-8x=5x+50

Subtract 5x from both sides:

-13x=50

Divide both sides by -13:

x=-\frac{50}{13}

y=-\frac{12}{13}

Hope this helps!

7 0
3 years ago
Explain why the expression 2y-y can be written as y
harina [27]

Answer:

2y is just 2 times y, so subtracted it would be 1y and 1y is just y.

6 0
3 years ago
Read 2 more answers
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!!!

5 0
3 years ago
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