Angela bought two pairs of shoes for a total of $138$ The difference in the price of shoes was $42. How much was the more expensive pair of shoes? Use systems of equations to solve. You must use substitution to solve

Answers

Answer 1

Answer:

$90

Step-by-step explanation:

Variable x = Less Expensive Shoe

Variable y = More Expensive Shoe

Set up equations:

x + y = 138

x + 42 = y

The problem says to use substitution to solve, meaning we must substitute one variable for a different value. I will substitute variable y in the first equation for x + 42 as this equals y in the second equation.

x + x + 42 = 138

Combine like terms

2x + 42 = 138

Subtract both sides by 42 to isolate variable x

2x = 96

Divide both sides by 2 to isolate variable x

x = 48

Substitute variable x for 48 and solve for y. I will use the second equation for this.

48 + 42 = y

Combine like terms

90 = y

I defined y as the more expensive pair of shoes. Since the problem only asks for the price of the more expensive shoes, the answer is $90.


Related Questions

Plz help, I award brainliest!

Answers

Answer:

15 m E. B. C. D. that's why I will be there

What is the angle between any two windmills blades in the windmill

Answers

I think it’s 120. Hope this helps

If 8 containers of yogurt cost $6.80, how many containers of yogurt can you purchase
with $11.05?
You can purchase
containers ? yogurt with $11.05.

Answers

Answer:

The answer is 13 containers of yogurt.

Step-by-step explanation:

$0.85 = 1 container of yogurt so if you multiply 0.85 * 13 you will have your answer. I know this isn't too good of an explanation but trust me.

you took a test in social studies that was worth 100 points. how many points will you have to earn to get 88%?​

Answers

Answer:

88 points.

Step-by-step explanation:

Answer:

You will have to have 88 points i think

Step-by-step explanation:

WILL GIVE BRAINLEST!!!

Answers

Answer:

18 12

6 22

Step-by-step explanation:

if u understand my handwriting lol

Can someone please help with this problem ASAP!!!

Answers

Answer:

Step-by-step explanation:

(1,5 ) indicates that for every 1 book they make 5 dollars so the point means that for every book they sell they make 5 dollars.

what is the equation of the following graph in vertex form

Answers

Answer:

y=(x-4)²-4

Step-by-step explanation:

Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:

(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]

x²-8x+12=0 (Standard Form)

x²-8x+12+4=0+4 (Completing the square)

x²-8x+16=4

(x-4)²=4

(x-4)²-4=0

Therefore, our equation for the graph in vertex form is y=(x-4)²-4

Factorise the following expression:
[tex] {a}^{2} + 10a + 24[/tex]​

Answers

Step-by-step explanation:

  [tex]a^{2} + 10a + 24[/tex]

= [tex]a^{2}[/tex] + 6a + 4a + 24

= a(a + 6) + 4(a + 6)

= (a + 6)(a + 4)

Answer:

solution:

[tex] {a}^{2} + 10a + 24[/tex]

a²+6a+4a+24

a(a+6)+4(a+6)

(a+6)(a+4) is your answer

THIS IS DUE IN AN HOUR PLS HELP !

Answers

Answer:

27

Step-by-step explanation:

Answer:

22°

Step-by-step explanation:

<1 is a secant-secant angle (it lies outside the circle, created by two lines that cut through the circle). The measure of a secant-secant angle is half the difference of the measures of the intercepted arcs:

<1=(0.5)(98-54)

<1=(0.5)(44)

<1=22°

Find the MEDIAN
48 28 43 87 15 65 73 82 7 33 90

Answers

Answer:

48

Step-by-step explanation:

Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which statement best compares how far the two cars can travel in an hour?

Answers

Answer:

The answer is C) car b travels 11 more miles than car a in one hour

Step-by-step explanation:

Car A: 18/20(60)=54 mph

Car B: 13/12(60) = 65 mph

So car b travels 11 more miles than car a in one hour

which expression is equivalent to 8^8x8^-5

Answers

Step-by-step explanation:

{(2)³}⁸×{(2)³}-⁵

2²⁴× 2-¹⁵

2²⁴-¹⁵. ( subtract 24 and 15)

2⁹= 512

So...

8×8×8= 512

hence

8³ Answer

QUESTION 1
1.1
The sequence 1 ; 5 ; 11 ; 19 ; .......is a quadratic sequence.
1.1.1 Determine an expression for the nth term of the sequence.
(4)
(4)
1.1.2 Which term of the sequence is 2 549?
1.2
The following sequence of numbers is given: -2;-3; -6;-11;
(4)
1.2.1 Determine an expression for the nth term of the sequence.
1.2.2 Explain why the sequence of numbers will never contain a positive term.
(1)
[13]
GESTION 2

Answers

The nth terms of sequence 1 ; 5 ; 11 ; 19  is n² + n + -1   and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3  .

What is quadratic sequence?

The differences (referred to as first differences) between every two successive terms are the same, then it is called an arithmetic sequence (which is also known as a linear sequence). But if the first differences are NOT same, and instead, the second differences are the same, then the sequence is known as a quadratic sequence.

According to the question

The sequence      1   ,   5   , 11  ,   19

First difference :       4      6       8

Second difference:        2     2  

1.1.1>

Now, expression for the nth term of the sequence.

Quadratic equation

ax² + bx + c

at n= 1

a + b + c = 1 -----------------(1)

At n = 2

4a + 2b + c = 5 ------------------(2)

At n = 3

9a + 3b + c = 11 -------------------(3)

solving equation

Subtracting equation (3) from (2)

9a + 3b + c = 11

-4a - 2b - c = -5

5a + b = 6 ----------------------(4)

Subtracting equation (2) from (1)

4a + 2b + c = 5

-a  - b - c = -1  

3a + b = 4 ---------------------------- (5)

Subtracting  equation (5) from  (4)

5a + b = 6

-3a - b = -4

2a = 2

a = 1

Putting value in equation (5)

3a + b = 4

3*1 + b = 4

b = 1

Substituting the value in equation (1)

a + b + c = 1

1 + 1 + c = 1

c = -1

Substituting the value in the quadratic equation

x² + x + -1

For nth term

n² + n + -1  

1.1.2>

Term of the sequence is 2549

Now,

using the nth term

n² + n + -1  = 2549

n (n+1) = 2550

n (n+1) = 50 * 51

n = 50

1.2>  sequence of numbers is given:   -2   ,-3   ,-6   ,-11

                First difference =                       -1     -3    -5

               Second difference =                       -2    -2    

1.2.1 >

Now , expression for the nth term of the sequence.

Quadratic equation

ax² + bx + c

at n= 1  

a + b + c = -2 -----------------(1)

At n = 2

4a + 2b + c = -3 ------------------(2)

At n = 3

9a + 3b + c = -6 -------------------(3)

solving equations  

Subtracting equation (3) and (2)

9a + 3b + c = -6

-4a - 2b - c = 3

5a +b = -3 ----------------(4)

Subtracting equation (2) and (1)

4a + 2b + c = -3

-a - b - c = 2

3a + b = -1 -------------------(5)

Now,

Subtracting equation (5) and (4)

5a +b = -3

-3a - b = 1

2a = -2

a = -1

Putting value of a in equation (5)

3*-1 + b = -1

b = 2

Substituting values in equation (1)

-1 + 2 + c = -2

c = -3

nth term

-n² + 2n -3  

1.2.2>the sequence of numbers will never contain a positive term.  

because its first term is -ve and difference between consecutive term is always -ve. or as per nth term n² is a -ve term .

Hence, the nth terms of sequence 1 ; 5 ; 11 ; 19  is n² + n + -1   and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3  .

To know more about Quadratic equation here:

https://brainly.com/question/2263981

#SPJ3

find the quotient 5 2/3 ÷ 3/5 leave answer as a mixed number in simplest form.​

Answers

Answer:

[tex]9\frac{4}{9}[/tex]

Step-by-step explanation:

Exact from:

[tex]\frac{85}{9}[/tex]

Decimal Form:

9.4

Mixed Number Form:

[tex]9\frac{4}{9}[/tex]

Give me Brainllest

Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.

a) Find the exponential function that describes the amount in the account after time t, in years.

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

c) What is the doubling time?

Answers

Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

I need help quickly. Please help.

Answers

Answer:

Mean:

= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7

= 63 / 7

= 9 (The sum of the numbers divided by the number of numbers)

Median:

= 4, 6, 8, 9, 11, 12, 13

= 9 (The middle number of a list from least to greatest)

Mode:

= NONE (The number that appears the most in a given list)

A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe

Answers

Answer: 2.90 acres.

Step-by-step explanation:

1.45x2 or 1.45 + 1.45  

Find the sum: (7b
-4) + (-2b+1).

Answers

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

PLS HELP: DETERMINE WHETHER THE PAIR OF RATIOS FORMS A PROPORTION

Answers

Answer:

No

Step-by-step explanation:

To form a proporion, both would need to be a multiple of the same thing, whcih they aren't

No the is no no no no no

2) Determine whether 5 would be a solution to the inequality w+ 11 < 22.* 1 po Yes, it is a solution. No, it is not a solution.​

Answers

Answer:

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

Answer:

Yes, w=5 is a solution for this inequality.

Step-by-step explanation:

w+11<22

If w=5, this is:

5+11<22

16<22, which is true. So w=5 works as a solution

solve For X if 9( x²_1 )= 27 x 2187​

Answers

Answer:

use photomath it'll slove it for you

Step-by-step explanation:

On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval

Answers

Answer:

Option c (I cannot........Florida) is the appropriate response.

Step-by-step explanation:

The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.

Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.

The other three given alternatives aren't related to the question. Thus option c is the correct one.

please helppppppppppp...... 17 points

Answers

Answer:

x = 24.5

Step-by-step explanation:

the angles form a straight line, and a straight line equals to 180°

=> (5x + 8) + (3x - 24) = 180

=> 8x = 196

=> x = 24.5

Watch help vile
Write an explicit formula for an, the nth term of the sequence 19, 25, 31, .....

Answers

19,25,31,37,43,49,55,61, 67
67 is the ninth term!!

Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?

Answers

Answer:

13 hours

Step-by-step explanation:

22.50/3=7.5

52.50/7=7.5

97.50/7.5=13

Roseanne drew a circle with a radius of 20.2 cm. What was the approximate circumference of the circle if you use 3.14 for ?


A. 63.428 cm
B. 126.856 cm
C. 126.956 cm
D. 253.712 cm

Answers

So B will be the answer
Answer: B 126.856

Explanation:

help please i need it asap! thank tou

Answers

Answer:

X = 3

Step-by-step explanation:

x= 6 x 1/2

Please help due in 2 and a half Min!


NO LINKS ALLOWED

Answers

My guess: The distance covered was 44 units and the average speed was 4.

Write two integers whose sum is 6 and difference is also 6.

Answers

Answer:

6,0

Step-by-step explanation:

I NEED HELP!!!!

SELECT ALL THAT APPLY

WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?

A=1/2bh

A. Trapezoid
B. Triangle
C. Rectangle
D. Square
E. Cube

Answers

Answer:

B

Step-by-step explanation:

Cand D: A= bh

A: A = (a+b)/2h

E: A= 6a^2

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