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Rus_ich [418]
3 years ago
12

1. The ratio of girls to boys to parents at the concert is 10:5:4. If there are

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

1.   228 parents

Step-by-step explanation:

I will do number 1 for you.  I'll let you or someone else do the others.

Let 10x = no. of girls

      5x = no. of boys

      4x = no. of parents

Now, 10x + 5x + 4x = 1083

                        19x = 1083

                            x = 57

(10)(57) = 570 girls

(5)(57) = 285 boys

(4)(57) = <u>228 parents</u>

             1083  total

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There are 76,000 acres of state Parkland in Georgia this is 4000 acres more than three times the number of acres of state Parkla
pashok25 [27]

Answer:

There are 240,000 acres of the state parkland in Mississippi.

Step-by-step explanation:

Let a= Mississippi's parkland acres

You can use either Distributive Property, or The Order of Operations.

Distributive Property:

(76,000+4,000) 3= a

228,000+12,000= a

240,000= a

Order of Operations:

(76,000+4,000) 3= a

(80,000) 3= a

240,000= a

:)

7 0
3 years ago
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square
N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is \frac{x^2}{10} + \frac{y^2}{15} = 1

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

  • Directrices at x = ±2
  • Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1

So, we have:

\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1

Evaluate

\frac{x^2}{10} + \frac{y^2}{15} = 1

Hence, the equation of the hyperbola is \frac{x^2}{10} + \frac{y^2}{15} = 1

Read more about hyperbola at:

brainly.com/question/3405939

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6 0
2 years ago
The rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rover
yuradex [85]

Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.

It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.

To know more about binomial distribution visit: brainly.com/question/14565246

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3 0
1 year ago
Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o
olga_2 [115]

Answer: it will take 9 hours.

Step-by-step explanation:

The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 18 inches

d = 1.5 inches

The expression becomes

Tn = 18 + 1.5(n - 1)

For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30

Therefore,

30 = 18 + 1.5(n - 1)

1.5(n - 1) = 30 - 18

1.5(n - 1) = 12

n - 1 = 12/1.5 = 8

n = 8 + 1

n = 9

6 0
3 years ago
Natasha has a photo of a lasagna dish she
Elanso [62]
200 is the answer because 500-300 is 200
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3 years ago
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