Mathematics High School

Solve for the values of x and y. Round the answers to the nearest hundredth.​

Solve For The Values Of X And Y. Round The Answers To The Nearest Hundredth.

Answers

Answer 1

Answer:

x = 26, y = 19

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ST}{NP}[/tex] = [tex]\frac{RS}{MN}[/tex] , substitute values

[tex]\frac{x}{13}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 13 )

x = 26

and

[tex]\frac{MP}{RT}[/tex] = [tex]\frac{MN}{RS}[/tex] , substitute values

[tex]\frac{y}{38}[/tex] = [tex]\frac{16}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 38 ( divide both sides by 2 )

y = 19

Related Questions

2x+8y=56 on a 10x 10 grid

Answers

Answer:

Step-by-step explanation:

Simplifying

2x + -8y = 56

Solving

2x + -8y = 56

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 56 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 56 + 8y

2x = 56 + 8y

Divide each side by '2'.

x = 28 + 4y

Simplifying

x = 28 + 4y

horse feed come in weight of 15lbs. to the nearest 3 pounds. what are the minimum and maximum possible weights?​

Answers

I believe the minimum weight would be 12lbs and the maximum would be 18lbs maybe

whats 65 times 9 divided by 5

Answers

It’s 117, I used a calculator
65•9/5
If I solve according to pemdas this equation equals 117

A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.

What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?

Answers

Answer:

The approximate probability that a random vehicle is a passenger car is 74.67%

Step-by-step explanation:

Probability

The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.

We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:

[tex]\displaystyle p=\frac{112}{150}[/tex]

p = 0.7467

p = 74.67%

The approximate probability that a random vehicle is a passenger car is 74.67%

42 points to help with math

Answers

I think it’s C I cba to do explanation!

Step-by-step explanation:

first find the nth term

a1 (n-1) d

24 (n-1) 7

24+7n-7= 17+7n

for 500th term: 17+7(500)= 3517

so option B

hope it helps! please mark me brainliest..

thank you!! have a good day

find the fractional part the first number is of the second
examples:12;30,9;27,15;50

Answers

Answer:

a) 2/5

b) 1/3

c) 3/10

Step-by-step explanation:

a)12;30

= 12/30

= 2/5

b)9;27

= 9/27

= 1/3

c) 15;50

= 15/50

= 3/10

Which value from the set {0,1,17,72} makes the equation n + 8 = 9 true?

Answers

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?

Answers

Answer:

$1,849

Step-by-step explanation:

7,396/4=1,849

Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?

Answers

Answer:

First, lets list them in order

84, 88, 90, 92, 96

Okay so the median is 90

the mean is 90 as well

Step-by-step explanation:

How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.

Answers

Answer:

He would make one hop to land on 6.

Step-by-step explanation:

He starts on 6, and hops to the opposite of the opposite of 6, which is 6.

There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?

Answers

22-12= 10 so they’re are 10 boys have a nice day

help please ! so i can finish this assignment

Answers

Answer:

-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10

Step-by-step explanation:

On average, Emma can clean her room in 35 minutes but, depending on how dirty her room is, her time can vary from the average by 20 minutes.

Which absolute value equation can be used to calculate Emma's maximum and minimum time to clean her room?

Let x represent the maximum and minimum time.


|x-20|=35

|x+20|=35

|x+35|=20

|x-35|=20​

Answers

B. |x+20|=35

This is because 20 is the minimum time, so you have to add that to whatever x is. since x can be the minimum or maximum, this further proves this statement. You can also know this is correct because the final product (35) was the maximum time shown in the world problem

May I have brainliest please? :)

HELPPPP PLEASEEEE!!!!

Answers

Answer:

B.

Step-by-step explanation:

The video streaming service that you want to use is represented with the equation below, where y represents the the total monthly cost of the service and x represents the number of videos you plan to stream each month:

y = $1.25x + $5.00



What is the total cost of the service for the month if you stream 30 videos?

Group of answer choices

$36.25

$151.25

$35.00

$42.50

Answers

Answer:

$42.50

Step-by-step explanation:

y = mx + b

x = how many videos you watched

y = 1.25(30) + 5.00 = 42.50

please answer correctly for brainliest

Answers

Answer:

Y=-3x+2

Step-by-step explanation:

Good luck!!!

In a standard 52-card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10. 7.

Dawn draws 1 card, replaces it, and draws another card. Is it more likely that she draws 2 red cards or 2 face cards?​

Answers

Answer:

It is more likely she draws 2 red cards

Step-by-step explanation:

Given that:

Number of red d cards in deck = 26

Number of face cards = 4 * 3 = 12 face cards

If two cards are drawn with replacement ;

Probability = (required outcome / Total possible outcomes)

P(1st card red) = 26 /52) = 1/2

P(2nd card red) = 26 /52 = 1/2

P(1st card red) * P(2nd card red)

1/2 * 1/2 = 1/4 = 0.25

P(1st card face card) = 12/52 = 3/13

P(2nd card, face card) = 12/52 = 3/13

P(1st card face card) * P(2nd card face card)

3/13 * 3 /13 = 9/169 = 0.053

0.25 > 0.053

It is more likely she draws 2 red cards

A jet ski that holds 10 gallons of gas
moves across a lake at a constant speed.
When it starts, it is 45 miles from the shore.
After 30 minutes, it is 30 miles from the
shore. Which function describes the jet ski's
distance from the shore?
A. y = x/2 + 45
B. y = - x/2+45
C. y = 2x – 30
D. y = -2x – 15

Answers

Answer:

Step-by-step explanation: the answer is b

solve 3(y+4) = 24

could you please explain how you found y ^^

Answers

Answer:

Answer is 68

y + 4 = 72

y = 68

Alright, so, we have 3(y+4) = 24
So, here is what we are going to do:
3(y+4) = 24
= 3*Y + 3*4 = 24
= 3Y + 12 = 24
Next up, we want to get rid of the 12.
= 3Y + 12 -12 = 24
= 3Y = 24
= 3Y/3 = 24/3
= Y = 8

Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4,2)

Answers

Answer:

(- 3.5, 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then

midpoint = ( [tex]\frac{-3-4}{2}[/tex], [tex]\frac{-1+2}{2}[/tex] ) = ( [tex]\frac{-7}{2}[/tex], [tex]\frac{1}{2}[/tex] ) = (- 3.5, 0.5 )

Find the length of x, y.
30°
16
у
60%
X

Answers

Answer:

x = 8,  y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangles have sides in a ratio of 1 : [tex]\sqrt{3}[/tex] : 2

'x' would be half of 16, or 8

'y' would be x · √3, or 8[tex]\sqrt{3}[/tex]

Carlos used 2 cups of yogurt and 6 tablespoons of granola for every 4 pears. Would it make sense to describe this situation with a part-to-whole ratio? Explain.

Answers

Yes, it would make sense to use a part to whole ratio because you are using different units of measurement. Whole would be cups and part would be tablespoons.
Yes because if you were going to make a massive pot of granola, you can plug the number in the ratio.

What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)

Please help

Answers

Answer:

C. (3,-2)

Step-by-step explanation:

  In a survey of 2,200 people who owned a certain type of​ car, 440 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?
nothing​% of the people surveyed were satisfied with the car.

Answers

Answer:

20%

Step-by-step explanation:

20% of people were satisfied with the car.

1. The spinner shown has 6 congruent sections.
6
2
5
3
4
The spinner is spun 120 times. What is a reasonable
prediction for the number of times the spinner will
land on an even number?

Answers

It would be a 60 percent chance if it was just 6 2 and 4. And not counting one tell me if this helped if not comment and I can reanswer

Please please help! Will mark brainliest!

Answers

Answer:

-

Step-by-step explanation:

what is the LCM of 9,12,16​

Answers

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

I NEED HELP NOOOOOWWWWWWWW!!!

Answers

Answer:

116

Step-by-step explanation:

Decrease £16855.21 by 3.5%

Answers

Answer:

16265.27765

Step-by-step explanation:

3.5 percent of 16855.21 is 589.93235

16855.21-589.93235=16265.27765

please mark me as brainliest! i'd really appreciate it<3

2x + 3 = 5 what does x equal?

Answers

Answer:

x=1

2x+3=5

-3 -3

now the three gets canceled and 5-3 is 2

2x=2

now divide 2 on both sides

2x÷2=2÷2

x=1

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