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3 years ago

8x=10y2x-y=5solve x and y

1 answer:

6 0

$8x=10y\\
2x-y=5\\\\
4x=5y\\
y=2x-5\\\\
4x=5(2x-5)\\
4x=10x-25\\
6x=25\\
x=\frac{25}{6}\\\\
y=2\cdot\frac{25}{6}-5\\
y=\frac{25}{3}-\frac{15}{3}\\
y=\frac{10}{3}

$

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Can someone help and please make sure the answer is right :)

il63 [147K]

Answer: x =9

Step-by-step explanation:

These are corresponding angles, meaning they are equal. (the same angle). Set them equal to each other to solve. 13x+ 3 = 12x +12. Subtract 3 from both sides. 13x = 12x + 9. Subtract 12x from both sides. X = 9

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3 years ago

harmaine spent a total of $20 at the grocery store. Of this amount, $9 she spent on fruit. What percentage of the total did she

zheka24 [161]

Answer:

45%

Step-by-step explanation:

First, let's set up a fraction of how much money she spent for fruit out of the total amount of money she spent.

$\frac{9}{20}$

For a percentage, we need a fraction out of 100. To do this, we can multiply the fraction by 5/5 (5*20=100). Notice we can only do this since 5/5 is equivalent to 1, so you are technically multiplying the fraction by 1.

$\frac{9}{20}*\frac{5}{5}=\frac{45}{100}$

A percentage is just the numerator of a number over 100 therefore it is equal to...

45%

8 0

2 years ago

Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.

lina2011 [118]

The number of terms, 'n' is 8

<h3 /><h3>How to determine the number of terms</h3>

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

3280 × 2 = 3^n - 1

6560 + 1 = 3^n

6561 = 3^n

This could be represented as;

3^8 = 3^n

like coefficient cancels out

n = 8

Thus, the number of terms, 'n' is 8

Learn more about geometric series here:

brainly.com/question/24643676

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1 year ago

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

Numbers 38 and 40 pls and thanks

Evgen [1.6K]

#40 is $110.16 total. You have to add the sales tax to the amount of the baseball cap which comes to $13.77. Then take that amount and multiply by the number of caps. Hope this helps.

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3 years ago

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