Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice
the sum of the two numbers is 30. Find the two numbers. Let the two numbers be represented by x and y. Let y represent the
larger number. Write your answer as an ordered pair (x, y).

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).


Related Questions

What is the range of f(x) = (3/4)^x -4?

Answers

Answer:

[tex]f\left(x\right)>-4[/tex]

Step-by-step explanation:

[tex]f\left(x\right)>k[/tex]

[tex]k=-4[/tex]

[tex]f\left(x\right)>-4[/tex]

There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE.
How many students are enrolled in PE?

Answers

Answer:

525

Step-by-step explanation:

multiply 1250 by the decimal form of the percentage (42% turns to .42)

Find the slope and y-intercept of y – 3x = 2

Answers

Answer:

slope is 3/1 y=2

Step-by-step explanation:

Slope: 3
Y-intercept: 2

Slope-intercept form can be represented as y=mx+b. The m is the slope and the b is the y-intercept. To get the equation into y=mx+b, add 3x to both sides to get the y by itself. When you add 3x to both sides you will get y=3x+2. The slope will be 3 because the 3 is in place of the m. The y-intercept is 2 because the 2 is in the place of the b.

Write 287 in expanded form ?

Answers

Answer:

200 + 80 + 7

you break it down fully to see how you got it all together

Which ordered pair solves the system of equations?

Answers

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

Solve the following system of
equations:
x = 3y + 4
3x - 5y = 8

Answers

You plug in the x = 3y+4 into the 3x part of 3x -5y=8. You distribute the 3 and add like terms to end up with 4y=12. You divide by 4 to get y alone and get -1. That’s your y value. You plug that -1 into the y part of any of the two equations to find x. The simplest one is to plug it in to x=3y+4, and you get -3+4=x, so x= -1

When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is about 4.3 pounds per square inch (psi). a) Write the variation function. b) Predict the pressure at 50 feet. c) It is unsafe for amateur divers to swim where the pressure is more than 65 psi. How deep can an amateur swimmer safely swim (round to the nearest thousandth)

Answers

Answer:

(a) [tex]p = 0.43d[/tex]

(b) [tex]p = 21.5[/tex]

(c) [tex]d = 151.163[/tex]

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

[tex]p\ \alpha\ d[/tex]

[tex]d =10[/tex] when [tex]p =4.3[/tex]

Solving (a): Write a variation

We have:

[tex]p\ \alpha\ d[/tex]

Write as an equation

[tex]p = kd[/tex]

Where: k is the constant of variation

[tex]d =10[/tex] when [tex]p =4.3[/tex]

So, we have:

[tex]4.3 = k * 10[/tex]

Make k the subject

[tex]k = \frac{4.3}{10}[/tex]

[tex]k = 0.43[/tex]

Substitute 0.43 for k in [tex]p = kd[/tex]

[tex]p = 0.43d[/tex]

Solving (b): Pressure at 50 feet

Substitute 50 for d in [tex]p = 0.43d[/tex]

[tex]p = 0.43 * 50[/tex]

[tex]p = 21.5[/tex]

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in [tex]p = 0.43d[/tex]

[tex]65 = 0.43 * d[/tex]

Make d the subject

[tex]d = \frac{65}{0.43}[/tex]

[tex]d = 151.162790698[/tex]

[tex]d = 151.163[/tex] -- approximated

The safe distance for an amateur is 151.163ft

chapter 13 medical math assignment sheet cengage learning a dental laboratory technician (DLT) earns $14 per hour when she works days and $18 per hour when she works nights. One month she works six 4-hour days, three 8-hour days, three 10-hour days, five 6-hour nights, and four 8-hour nights. What is her total pay for the month

Answers

Answer:

$2,208

Step-by-step explanation:

In order to calculate her total pay for the month we simply need to use the hours provided in the question, multiply each amount of hours by they pay rate for that day/night. Finally, we add all of the products together to get the final pay for the month.

6 * (4*14) = 336

3 * (8 * 14) = 336

3 * (10 * 14) = 420

5 * (6 * 18) = 540

4 * (8 * 18) = 576

336 + 336 + 420 + 540 + 576 = $2,208

Finally, we can see that her total pay for the month is $2,208

Solve: 98-X = 27X-3
O A. x = 5
O B. X= -5
O
C. X = -1/5
D. X = 1/5

Answers

Answer:

Honeslty its 5 idrk if its - or positive

Step-by-step explanation:

Sorry for not really helping

0.7+x=12 i reallly need help soo badd plss

Answers

Answer:

x=11.3

Step-by-step explanation:

happy to help ya :)

Answer:

x=11.3

Step-by-step explanation:

We do -0.7 on both sides and 12-0.7 is 11.3. So, x=11.3

what is the sum of n=-2 and m=5

Answers

Answer:

sum=n+m=-2+5=3 is a answer

The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :​

Answers

Enjdsndndjsnxndmndncmsndnsnnxmc

if your smart enough to answer this then ill give brainliest

Answers

Answer:

No they are not proportional

Step-by-step explanation:

They arent proportional because if they were on a graph they wouldnt have a straight line ... I'm in wrong lmk

Answer:

no its not proportainal

Step-by-step explanation:

Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used to find the direct distance to her aunt's house?

1. 36 2 + b2 = 15 2
2. 15 2 + 36 2 = c2
3. a2 + 15 2 = 36 2

Answers

15 miles + 36 miles = total miles
It is B/2 you are welcome.

Karen gaines invested $15,000 in a money market account with an interest rate of 2.25% compounded semiannually. Five years later, Karen withdrew the full amount to put towards the down payment on a new house. How much did Karen withdraw from the account

Answers

Answer:

years later , karen withdrew the full amount to put toward the down payment on a new house. How much did she withdraw? ... gaines invested $15,000 in a money market account with an interest rate of 2.75% compounded semiannually. ... Median response time is 34 minutes and may be longer for new subjects.

The product of (a − b)(a − b) is a perfect square trinomial.

A. Sometimes
B. Always
C. Never

Answers

Answer:

Always.

Step-by-step explanation:

Answer:

Always

Step-by-step explanation:

The first term of the product is always the first term of the original binomial squared.

The middle term of the product is always negative and equal to twice the product of the first and last terms of the original binomial.

The last term of the product is always positive and equal to the last term of the original binomial squared.

EX: Find the product of (3x − 4)2.

Identify what a and b are in the given binomial. Here, a is equal to 3x and b is equal to 4.

(3x − 4)2

substitute a for 3 times x and substitute b for 4 a     b

Now, substitute the values for a and b into a2 − 2ab + b2.

a2 − 2ab + b2

Make sure you place the term in parentheses when it involves more than one factor. Then, use the Power of a Product rule to simplify.

(3x)2 − 2(3x)(4) + (4)2

32x2 − 24x + 16

9x2 − 24x + 16

Done!

PLEASE HURRYY!!

2. Triangle ABC has angle measures as shown.

(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

Answers

Answer:

x = 70

c = 72

Step-by-step explanation:

is this a positive or negative slope

Answers

Answer:

negative slope

Step-by-step explanation:

trust me

what is the diameter

Answers

Answer:

9.61m

Step-by-step explanation:

to find the diameter you have to multiply the radius by 2

since radius is half of a circle

the quotient of 12 and the product of 4 and 5 as a numerical expression.

Answers

Answer:

Step-by-step explanation:

The "product of 4 and 5" is (4)(5).                                  12

The quotient of 12 and the product of 4 and 5 is   ------------

                                                                                         (4)(5)

The numerical expression for the given phrase is 12/(4×5).

What is a quotient?

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The given phrase is the quotient of 12 and the product of 4 and 5.

Now, 12/(4×5)

= 12/20

= 3/5

= 0.6

Therefore, the numerical expression is 12/(4×5).

Learn more about the quotient here:

https://brainly.com/question/16134410.

#SPJ2

Tony’s deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?


Write your equation AND solve.

Answers

Answer:

3. Tony's deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?

hurry I am timed Which part of the cell holds genetic information in the molecule DNA?

ribosome


chromosomes


Golgi body


vacuole

Answers

Answer:

Chromosomes

Have a great day!

Answer:

chromosomes are genetic materials found in the Nucleus of a cell, and hence it holds DNA .

5. Find the slope of this line.

Answers

Answer:

3/2

Step-by-step explanation:

rise/run

pls help i cant find the answer at all

Answers

AC = AB
4x + 8 = 7x - 4
8 + 4 = 7x - 4x
12 = 3x
x = 4

Simplify the imaginary number using the properties of exponents.
¡102

Answers

Answer:  Explanation: 102=2⋅51. i102=(i2)51=(−1)51=−1.

Step-by-step explanation:

The best approximation for square root of 10 Is
25
03.1
05
100

Answers

Approximately 3.16 so B
03.1 is the answerr to your question

Please help I need it thank you

Answers

Answer:

1. b

2.c

3.a

Step-by-step explanation:

welcome

Answer:

1) b: 1,176 sc

2) c: 100 sf

3) a: 225.36

Step-by-step explanation:

Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?
A. 4x2 + 7x − 10
B. 4x2 + 10x − 7
C. 12x2 + 7x − 10
D. 12x2 + 23x − 10

Answers

I hope this helps the answer is


C. 12x2+7x-10

i neeeeeeedddd helpppppppppp

Answers

Answer:

C.

Step-by-step explanation:

I honestly forget how to do this.

All credit goes to victoradisla08

Derek and Jeannine buy a car for a total price, including tax, of $19,795.
The price of the car without tax was $18,500. What is the tax rate? (PLEASE HELP ME)

Answers

Answer:

1,295 I believe

Step-by-step explanation:

19,758 - 18,500 = 1,295.

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