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4 years ago

Find an ordered pair that is a solution to the equation x-4y=4

Mathematics

1 answer:

Oliga [24]4 years ago

8 0

Let be x = - 4; then, - 4 -4y = 4;
-4y = -8 ; y = 2;
An ordered pair that is a solution to the equation is (-4;2);

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Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at mos

GREYUIT [131]

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

<h3>How to find the probability?</h3>

We know that roughly 75% of the students take the bus, then, if we select a student at random.

There is a probability of 0.75 that the student takes the bus.
There is a probability of 0.25 that the student does not take the bus.

The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:

p = (0.75)^9 = 0.075

Then we have:

P = 1 - 0.075 = 0.925

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

If you want to learn more about probability, you can read:

brainly.com/question/251701

3 0

2 years ago

The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance betwee

const2013 [10]

200 miles. 2.5 divided by 3/4 is 3.33333-, multiplying the given by 60 would give us 199.98, which you can round to 200.

8 0

3 years ago

If sin(x) = cos(y) for acute angles x and y, how are the angles related?

Vesnalui [34]

Answer:

b. complementary

Step-by-step explanation:

-Complementary angles are angles that add up to 90°.

-These are usually the two acute angles in the right triangle.

#To verify, lets take the two angles 30° and 60°:

$Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5$

#We can reverse as:

$Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603$

Hence, two angles are said to be complimentary if they sum up to 90°.

6 0

3 years ago

If the regular selling price of a silk scarf is $49 and the markdown rate is 38%, what is its sale price?

Aleks04 [339]

Answer:

$30.38

Step-by-step explanation:

To find the sale price, find the percentage you pay after the discount. The discount is for 38%. So you pay 62%.

The selling price of the scarf will be 0.62(49) = 30.38

4 0

4 years ago

Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi

ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

Solution:

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

Therefore, we can frame a equation as,

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

$3 \times d + 10 \times p = 54.50$

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

$9 \times d + 5 \times p = 57.25$

9d + 5p = 57.25 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

Subtract eqn 2 from eqn 3

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

Substitute p = 4.25 in eqn 1

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0

3 years ago