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2 years ago

How would you solve for x and y and what are x and y? Not sure what to do.

Mathematics

1 answer:

Ivahew [28]2 years ago

4 0

Answer:

x = 26 2/3

y = 50

Step-by-step explanation:

you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles

2y - 3x = -3x + y + 50

add 3x to each side to get:

2y = y + 50

y = 50

also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line

3/2y + 25 - 3x = 180

subtract 25 from each side to get:

3/2y - 3x = 155

substitute 50 for 'y' to get:

3/2(50) - 3x = 155

75 - 3x = 155

-3x = 80

x = 26 2/3

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A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) $10X+5X+5X=300 => 20X = 300 => X = 15$ days for the lessons

b) $5X+10X+8X = 300 => 23X = 300 => X = 13.04$ days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) $10X+5X=300 => 15X = 300 => X = 20$ days for the lessons

b) $5X+10X = 300 => 15X = 300 => X = 20$ days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) $10(10/24)+5X+5X= 300 => X = 29.58$ days for the lessons

b) $5(10/24)+10X+8X = 300 => X = 16.51$ days for the tests

so at the end to complete both tasks they need 29.58 days

4 0

2 years ago

Can someone help answer at least one? :) ty

Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = $\frac{OP}{RT}$

= $\frac{12}{3.6}$

= $\frac{10}{3}$

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

$\frac{OQ}{RS}=\frac{OP}{RT}$

$\frac{OQ}{4.5}=\frac{10}{3}$

OQ = $\frac{10\times 4.5}{3}$

OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

By applying angle sum theorem in ΔRST,

m∠R + m∠S + m∠T = 180°

26° + m∠S + 60° = 180°

m∠S = 180° - 86°

= 94°

Therefore, m∠Q = m∠S = 94°

3 0

2 years ago

Please choose all irational thx ^_^

lana66690 [7]

Answer:

Here is a note to help you: Most numbers are rational numbers. Here is how you know when a number is rational or not [especially if its a decimal].

Rational:

- Decimals are usually rational. Rational decimals my look like this:

1) 0.25

2) 0.333333333...

3) 0.234234234234234234...

The following above are rational because they either: terminate or repeat. That being said, 1) terminates, and 2) and 3) repeat because the pattern of 2) is just 3's, and the pattern of 3) is 0.234 over and over again.

Irrational:

- Irrational numbers are numbers that don't repeat, and don't terminate. The next examples are irrational:

1) 0.234536718092343...

2) 8.123456789023452574794832468...

3) 1723456.4356784794954233690422...

- They go on forever and ever, and don't have a pattern/terminate like rational numbers.

Now that you've got that in the bag, its time for your answers!

Step-by-step explanation:

A) rational --> It has a pattern, but does not terminate

B) rational --> It terminates

C) irrational --> it does not have a pattern, even if it does terminate

D) rational --> when you solve it, the answer is 2, and 2 is rational

E) irrational --> it does not have a pattern, but does terminate

I hope I helped you! This took forever, but it was worth it! :D

<h2>PLEASE MARK BRAINLIEST!</h2>

6 0

2 years ago

five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution

Marrrta [24]

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

Answer: Choice B.

4 0

2 years ago

Read 2 more answers

What is the interquartile range of the data set

Verizon [17]

There are many methods of doing this. This one finds the median; however, instead of halving, you can use quarters instead.

First order the data, ascendingly:

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Find the median:

For an even number of values: The number of values / 2

For an odd number of values: The number of values + 1 / 2

11 is odd.

11 + 1 / 2

12 / 2 = 6

The median is at the 6th position.

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

The median is 20.

Other method:

You don't need this step.

Using the values lower than the median, exclusive, find the median of the lower values;

For an odd number of values: The number of values + 1 / 2

10, 17, 18, 18, 18

5 + 1 / 2 = 6 / 2 = 3

The median of the lower values is at position 3.

This is the lower quartile.

10, 17, 18, 18, 18

Other method:

For an odd number of values: The number of values + 1 / 4

11 + 1 / 4 = 12 / 4 = 3

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Using the values greater than the median, exclusive, find the median:

For an odd number of values: The number of values + 1 / 2

20, 25, 25, 30, 30

5 + 1 / 2 = 6 / 2 = 3

The median of the upper values is at position 3.

20, 25, 25, 30, 30

This is 25.

This is the upper quartile.

Other method:

For an odd number of values: (The number of values + 1 / 4) * 3

(11 + 1 / 4) * 3 = (12 / 4) * 3 = 3 * 3 = 9

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Your interquartile range is 3 - 25

25 - 3 = 21

8 0

2 years ago