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2 years ago

Which equation can pair with x + 2y = 5 to create an inconsistent system?

Mathematics

1 answer:

katrin2010 [14]2 years ago

3 0

Answer:

3:8

Step-by-step explanation:

it is 3:8 because i said it is. So basically 3:8 means 38 in sign language.

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Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the sa

Elenna [48]

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C = $0.25 + $0.10 + $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

5 0

3 years ago

Find the surface area of the figure below.

gayaneshka [121]

Answer:

261 cm²

Step-by-step explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

To find the area of a square, multiply the side by itself twice.
To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.

The triangles have a base of 9 and a height of 10.

$9*10=90$

Multiply the product by 1/2.

$90*1/2 = 45$

There are four triangles.

$45*4=180$

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.

$9*9=81$

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.

$45+45+45+45+81 = 261.$

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

6 0

3 years ago

Please help! circled numbers only. tysm, ILL MARK BRAINLIEST!

NeX [460]

2. 4 2/5
4. 6 3/8
6. 4 5/12
8. 2 1/3
10. 24 2/3
12. 7 5/6
14. 33/5
16. 102/11
18. 81/5
20. 163/7
22. 1295/6
24. 1329/16

8 0

3 years ago

Read 2 more answers

What is x?

mrs_skeptik [129]

Answer:

x = 1/4

Step-by-step explanation:

−12x=−3 (Given)

x = 0.25 (Divide) (value became positive because negative was divided by negative).

0.25 in fraction = 1/4

4 0

2 years ago

Read 2 more answers

The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

3 years ago