All categories

2 years ago

I need help on this math problem.

Mathematics

2 answers:

Harlamova29_29 [7]2 years ago

7 0

110 - 4x = x + 10
100 = 5x
x = 20

2x - 20 = 3y - 10
Plug in x
2(20) - 20 = 3y - 10
40 - 20 = 3y - 10
20 = 3y - 10
30 = 3y
y = 10

GREYUIT [131]2 years ago

5 0

SOLUTION:

First we will find ( x ) so that we can then find ( y ).

To find x -

Opposite sides of a paralellogram are congruent ( equivalent to each other ).

( x + 10 ) and ( 110 - 4x ) are opposite sides.

Therefore:

x + 10 = 110 - 4x

x + 4x = 110 - 10

5x = 100

x = 100 / 5

x = 20

To find y -

From this, we will substitute the value of ( x ) from above into our equation for ( y ).

Opposite sides of a paralellogram are congruent ( equivalent to each other ).

( 2x - 20 ) and ( 3y - 10 ) are opposite sides.

Therefore:

2x - 20 = 3y - 10

3y - 10 = 2x - 20

3y - 10 = 2 ( 20 ) - 20

3y = 40 - 20 + 10

3y = 30

y = 30 / 3

y = 10

FINAL ANSWER:

Therefore, the answer is:

y = 10

Hope this helps! :)
Have a lovely day! <3

You might be interested in

The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab

Tomtit [17]

1 hour: $60
2 hours: $82
3 hours: $104
4 hours: $126
8 hours: $214

4 0

3 years ago

Read 2 more answers

Solve.

horrorfan [7]

x/2 = -0.73

To solve for x multiply both sides by 2:

x = -1.46

6 0

1 year ago

Read 2 more answers

Molly uses 192 beads to make a bracelet and a necklace. It takes 5 times as many beads to make a necklace than it does to make a

levacccp [35]

960 beads are used to make the necklace.

192 x 5 = 960, so that's how i got my answer and then you just divide to check if it's right or not.

7 0

2 years ago

Read 2 more answers

A submarine dives 20 meters each minute. what is the total change in depth after 10 minutes

Paha777 [63]

Answer: 200 Meters after 10 minutes.

Step-by-step explanation:

To find the answer you must multiply 20 for every minute.

Hope this helped :D

7 0

2 years ago

Consider an experiment where we ask what type of car – either domestic (e.g., Chevrolet, Ford, Chrysler, etc.), foreign built ab

Nostrana [21]

Answer:

$12^{20}$ outcomes for this sample space (under some considerations)

Step-by-step explanation:

Let's define the multiplication principle.

If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are

(n1) x (n2) x ... x (ni)

In this exercise n1 = domestic

n1 is the total classes for domestic category

(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)

n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)

n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)

n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4

The possible outcomes for one person in the experiment are

$(Domestic).(ForeignBuiltAbrod).(ForeignBuiltInTheU.S).(Style)$

Where what it is brackets are the possible categories for that classification.

$n1.n2.n3.n4=3.1.1.4=12$

We have 20 different people then $12^{20}$ are the possible outcomes sample space

In the sample space there are $12^{20}$ outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.

7 0

3 years ago