MATHEMATICS HIGH SCHOOL

You add two numbers together, and the total is 122. If you triple the smaller number and subtract 34, it will equal the larger number. What are the two numbers?

Answers

Answer 1

Answer:

Answer: 39 and 83

Step-by-step explanation:

Let's assume the smaller number is represented by 'x' and the larger number is represented by 'y'.

According to the given information, we have two equations:

Equation 1: x + y = 122

Equation 2: 3x - 34 = y

We can solve this system of equations to find the values of 'x' and 'y'.

Substituting Equation 2 into Equation 1, we get:

x + (3x - 34) = 122

Combining like terms:

4x - 34 = 122

Adding 34 to both sides:

4x = 122 + 34

4x = 156

Dividing both sides by 4:

x = 39

Substituting the value of 'x' back into Equation 1:

39 + y = 122

Subtracting 39 from both sides:

y = 122 - 39

y = 83

Therefore, the smaller number is 39 and the larger number is 83.

Related Questions

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Find all values of c that will make the polynomial a perfect square trinomial. Options: c = 49 c = 100 c = 144 c = 169
Solve for all possible values of x. square root of the quantity x minus 9 end quantity plus 4 equals 8 a) x = −5 b) x = 7 c) x = 13 d)x = 25
Solve the inequality -5a-12<-18
- 18 < - 3x + 9 < 12

A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000 until 2016. Which of the following is the most reasonable domain for the function?

Answers

The domain of a function is the set of input values the function can take.

The reasonable domain of the function is [0,16]

From the question, we understand that x represents the number of years after 2000 until 2016.

In 2000, the value of x is 0
In 2016, the value of x is 16

Hence, the reasonable domain of the function is [0,16]

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).

One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.

I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.

If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

Answers

By comparing the given situation with a right triangle, we will find that the elevation angle is 72.2°

So let's think of the given situation as a right triangle, where the height is one cathetus (the opposite one to the elevation angle) and the length of the string is the hypotenuse.

Then we can just use the relation:

Sin(θ) = (opposite cathetus)/hypotenuse

Where:

opposite cathetus = 40ft
hypotenuse = 42ft.

Replacing that we get:

Sin(θ) = 40ft/42ft

θ = Asin(40/42) = 72.2°

Thus, the elevation angle is 72.2°

If you want to learn more about right triangles, you can read:

brainly.com/question/20142200

In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

Which expression is equivalent to 56 + 21?07(49 + 14)
8(7 + 21)
8(48 + 13)
07(8 + 3)

Answers

Answer:

07(8 + 3) is the right answer

1/3,0,1,-2 what are the next 3 terms of the sequence

Answers

Hello,

One solution may be
$a_(n+1)=a_(n)*(-3) +1$

$a_(0)=(1)/(3)$

$a_(1)=(1)/(3)*(-3) +1=0$
$a_(2)=0*(-3) +1=1$
$a_(3)=1*(-3) +1=-2$

$a_(4)=(-2)*(-3) +1=7$
$a_(5)=7*(-3) +1=-20$
$a_(6)=(-20)*(-3) +1=61$
...
REM:
$a_(n)=((-3)^(n))/(12)+(1)/(4)$

Jarin jogs at a rate of 7.5 miles per hour. How many miles per minute does jarin jog?

Answers

Jarin covered 0.125 miles per minute of jogging

How many minutes make an hour?

The fact that 60 minus makes one hour means that the miles per minute can be determined as the distance covered in one hour divided by the number of numbers in an hour.

In other words, we can first of all, determine the miles covered in one hour as 7.5 miles divided by 1 hour, which gives 7.5 miles, in essence, the miles covered per minute is ascertained by changing the time from hours to minutes.

miles per minute covered by Jog=miles covered in one hour/one hour in minutes

miles covered in one hour=7.5 miles

one hour in minutes=60 min

miles per minute covered by Jog=7.5 miles/60 min

miles per minute covered by Jog=0.125 miles/minute

Jarin covered a mile of 0.125 every minute that he jogged

Find out more about speed on:brainly.com/question/4931057

#SPJ1

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