Matthew went shopping and bought 2 pairs of pants and one pair of shoes for $92. Michael went shopping and bought one pair of pants and 3 pairs of shoes for $161. How much does a pair of pants cost? How much does a pair of shoes cost?

Answers

Answer 1

Answer:  $46

Step-by-step explanation:

set shoes as S

set pants as P.

2P+S=$92   - equation 1

P+3S=$161  - equation 2

equation 2 can also be written as:

P=$161-3S

so sub equation 2 into 1

∴2($161-3S)+S=$92

$322-6S+S=$92

$230=6S-S

5S=$230

S=46


Related Questions

A large chocolate shake takes 0.8 of a pint of milk. A small shake takes 0.3 the amount of a large. How much milk does a small shake take?

Answers

Answer:

Step-by-step explanation:

I have no idea where to startttt???

Answers

Answer:

30

Step-by-step explanation:

Cross Multiply - 15 times 42 = 630

630 = 21t

What is 630 / 21... = 30

t = 30

Answer:

t=30

21/15=42/t

Rewrite the equation as 42/t=21/15.

42/t=21/15

Cancel the common factor of 21 and 15.

42/t=7/5

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

42⋅5=t⋅7

Solve the equation for t.

t=30

Step-by-step explanation:

Hope it is helpful....

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

pick a pick a dont actually
It’s A!!! Lol dneneenne

Can someone please help me??? I WILL GIVE YOU 50 EXTRA POINTS IF YOU SHOW YOUR WORK AND DO IT PROPERLY

Test each point to see if it is a solution to -3x + y < 5. Show your work.
a.(0,0)
b.(-3,4)
c.(-2, -2)

Answers

Answer:

 well i cant explain the anwser but its y < 5 + 3 x

Solve by substitution

Answers

Answer:

A

Step-by-step explanation:

y = -9 ------(1)

9x -4y = -9 -------(2)

substitute (1) into (2)

9x - 4 (-9) = -9

9x = - 45

x = -5

there you go, x = -5 and y = -9

so. (-5 , -9 )

hope this helps

please mark it brainliest

Help meh I don’t know how to log out of this app on apple.

Answers

Answer:

Madam/good sir, just shut off that, what do they call it these days... Oh Iphone! Back in my day, we used the pokedex to do what you do now.

There are 7 more girls than boys in an 8th grade class. There are a total of 53 students in this 8th grade class. How many girls are in this 8th grade class?
A. 17
B. 21
C. 27
D. 30​

Answers

The answer is D : 30

Answer:

D:30

Step-by-step explanation:

Total of students =53

53-7= 46

46÷2=23

23+7=30

When Elias drives 100 miles on the highway, his car uses 4 gallons of gasoline. How much gasoline would his car use if he drives 250 miles on the highway?​

Answers

Answer: x = 10

Step-by-step explanation: 4 times 250 is 1000 and divided by 100 is 10

Each month, your phone company charges you a fee of 15 cents per minute as well as a service fee of $3.95. Write a linear function rule that models the number of dollars, y, you pay each month for any number of minutes, x

Answers

Function: f(Y)= 3.95+ 0.15*x

Two 6-sided dice are rolled. What is the probability that the sum is odd and the number on one of the dice is a 5?

Answers

Answer:

The odds are 12

Step-by-step explanation:

The odds of rolling an odd number from the sum of two rolls requires that we roll one even number from one die and an odd number from another die.

Thus the probability of the event is P(e) = 1/12.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

For the given situation,

The sample space for rolling two 6 sided dice is

[tex]s[/tex] = { [tex](1,1),(1,2),(1,3),(1,4),(1,5),(1,6)[/tex]

[tex](2,1),(2,2),(2,3),(2,4),(2,5),(2,6)[/tex]

[tex](3,1),(3,2),(3,3),(3,4),(3,5),(3,6)[/tex]

[tex](4,1),(4,2),(4,3),(4,4),(4,5),(4,6)[/tex]

[tex](5,1),(5,2),(5,3),(5,4),(5,5),(5,6)[/tex]

[tex](6,1),(6,2),(6,3),(6,4),(6,5),(6,6)[/tex]}

So, [tex]n(s)=36[/tex]

Let the event be the probability that the sum is odd and the number on one of the dice is a 5

Consider that the probability that the sum is odd be a,

[tex]a =[/tex] { [tex](1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),\\[/tex]

[tex](4,1),(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5) }[/tex] }

Consider that the probability that the number on one of the dice is 5 be b,

[tex]b=[/tex] { [tex](1,5),(2,5),(3,5),(4,5),(5,5),(6,5)[/tex] }

The probability of the event can be find by taking intersection of a and b

⇒[tex]e=a[/tex]∩[tex]b[/tex] = { [tex](2,5),(4,5),(6,5)[/tex] }

⇒[tex]n(e)[/tex] [tex]=3[/tex]

Probability (event )=[tex]\frac{n(e)}{n(s)}[/tex]

⇒[tex]p(e)=\frac{3}{36}[/tex]

⇒[tex]p(e)=\frac{1}{12}[/tex]

Hence we can conclude that the probability of the event is P(e) = 1/12

Learn more about probability here

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A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles and $2 per mile for each mile over $10. Which graph correctly represents the charge, y, in dollars for a cab ride of x miles?

(there’s one more graph that i couldn’t fit in the screenshot. if any of these choices are wrong,let me know. it must be the graph that i couldn’t show)

Answers

The graph that correctly represents the linear piece-wise function is the first graph.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles, hence:

[tex]y = 5 + x, x \leq 10[/tex]

Hence, at x = 10, we have that:

y = 5 + 10 = 15.

$2 per mile for each mile over $10, hence:

[tex]y = 15 + 2(x - 10), x \geq 10[/tex]

Hence, at x = 14, we have that:

y = 15 + 2(14 - 10) = 15 + 8 = 23.

Thus the first graph is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:A. It is the first graph

Step-by-step explanation:

PLEASE HELP!!!!
Identify the following

Answers

Answer:

Step-by-step explanation:

The image is not showing up

Umm is their supposed to be an image??

how can you use the order of operations to solve real-world problems involving rational numbers ​

Answers

Explanation of solving real life problems involving rational number is describe below.  

What is uses of rational number in real life?

Rational numbers are involved wherever in your day to day routine. How much pocket cash you get. That is an objective number. In the event that you go through some sum out of it, it is deduction of same number.

Imagine you are athlete, in your race competition you have to cover a rational number of distance.It is example of rational number used in our life.

To know more about rational number visit:

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help please! it'll be greatly appreciated ​

Answers

Answer:

B= 17.1

Step-by-step explanation:

The formula for the area of a triangle is BH1/2

The word problem gives you the area and the height

Set the problem:

369.25= 42.4(1/2)(B)

42.4(1/2)=21.2

369.25=21.2B

Divide both sides by 21.2 to isolate the variable

17.41=B

Hope this helps! :)

-2+10z=28 what is z?

Answers

Z would be 3 because 10*3 is 30 and 30-2 would be 28 :)
Answer: a= 3

Why? -2+10z=28 Add 2 to both sides 28+2=30
10z=30 divided 10 by both sides 30/10=3
Z=3
Hope this helps :D

Jimmy paid off a mortgage by paying $775 per month for 12 years. What was the original amount of the mortgage if the interest rate charged was 4.40% compounded semi-annually?

Answers

Answer:

The original amount of the mortgage was $66231.45.

Step-by-step explanation:

In order to find the original amount of the mortgage, you can use the following formula to calculate the present value:

PV=FV/(1+r/n)^nt

PV=present value

FV=future value= 775*12*12=111.600

r=rate of interest=0.0440

n= number of compounding periods= 2

t= time in years=12

Now, you can replace the values on the formula:

PV=111600/(1+(0.0440/2))^2*12

PV=111600/(1.022)^24

PV=111600/1.685

PV=66231.45

According to this, the answer is that the original amount of the mortgage was $66231.45.

He scored 3 goals at Saturdays gams and scored 5 goals in yesterdays game . What is his percent of increase?

Answers

Answer: his percent of increase = 66.66%

Step-by-step explanation:

percent of increase = Increase/ Previous goal x 100

Previous goal = 3 goals

Yesterday's goal = 5 goals

Percent of increase = (5-3) / 3 x 100

=2/3 x 100

=0.6666 x 100

=66.66%

Unit 8: Right Triangles & Trigonometry Homework 4: Trigonometry: Ratios & Finding Missing Sides

Answers

Answer:

26.69

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached

The missing side is x;

From the triangle we are given;

Opposite = x

Hypotenuse = 29

Angle of elevation = 67 degrees

Using the SOH CAH TOA identity;

Sin theta = opposite/hypotenuse;

sin 67 = x/29

x = 29sin67

x = 29(0.9205)

x = 26.69

Hence the length of the missing side is 26.69

All trigonometric ratios of triangle PQR were calculated.

In the given right triangle PQR

PR = 14

QR = 50

So, using Pythagoras' theorem

PQ = 48

What are Sine, Cosine, and Tangent of a triangle?

Sine of an angle = Opposite side / Hypotenuse

cosine of an angle = Adjacent side/ Hypotenuse

Tangent of an angle = Opposite side/ Adjacent side

So, SinQ = 14/50 =7/25      

CosecQ = 1/SinQ = 25/7

CosQ= 48/50 = 24/25

SecQ = 1/CosQ = 25/24

TanQ = 14/48 = 7/24

CotQ = 1/tanQ = 24/7

SinR=24/25

CosecR = 1/SinR= 25/24

CosR=7/25

SecR = 1/Cosr = 25/7

TanR =24/7

CotR = 1/tanR = 7/24

Thus, All trigonometric ratios of triangle PQR were calculated.

To get more about trigonometric ratios visit:

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Can you guys help me plz

Answers

Answer:

Step-by-step explanation:

The scale factor is 2

which of the following represents linear growth? check all of the boxes that apply
martins savings account increases because he deposits $25 each week
calis pay increases by 3% per year
each week, an athlete getting into shape loses 2 pounds
mei-lin earns $9 an hour at her job

Answers

Answer:

Martin is the answer

Step-by-step explanation:

Incorrect - Martin is putting in $25 a week which means each week his bank is growing by exactly $25

Correct - Cali's pay is exponential since it is increasing each year by a percentage, so not a steady rate.

Incorrect - The athlete's weight is decreasing, so the opposite of growth.

Incorrect - And mei-lin can change how many hours she works so she will get a different amount for the time she works each day.

Hopefully, this helped, have a great day!

brainliest?

Nancy has 43 peaches and 15 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 53 peaches at the stand. How many did Nancy pick?

Answers

Answer:

Step-by-step explanation:

Nancy has 43 peaches and 15 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 53 peaches at the stand. How many did Nancy pick?

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
please help ill make you the brainlyest!!!

Answers

* i made the numbers negative because we’re in the third quadrant * answer is c

Corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

Define unit circle.

A unit circle is a circle with radius is equal to one.

Any point on a unit circle is of the form [tex]\boldsymbol{\left ( cos\, \theta, \sin\, \theta \right )}[/tex]

Value of [tex]\theta[/tex] is [tex]\boldsymbol{\frac{7\pi}{6}}[/tex]

So, corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]}[/tex]

[tex]\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]=\left [\cos \left (\pi + \frac{\pi}{6} \right ),\sin \left (\pi + \frac{\pi}{6} \right ) \right ][/tex]

                              [tex]=\left [ -cos\left ( \frac{\pi}{6} \right ),-\sin\left ( \frac{\pi}{6} \right ) \right ]\\=\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

Find out more information about circle here:

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Parallelogram ABCD is similar to the parallelogram EFGH. What is the length of GH? 

Answers

Answer:

2 in

Step-by-step explanation:

Question 25. A segment of a circle is the portion formed by the sector and 4 points
a triangle,
True
O False​

Answers

I think its false i hope its helps

Answer:

It is false

Step-by-step explanation:

Can someone help me with this please???

Answers

Answer:

148

Step-by-step explanation:

148

please help me, I need this answered fast please​

Answers

Answer:

A.

Step-by-step explanation:

x =  −b +- √b²−4ac /2a

x =  −(−7) +- √(−7)²−4(5)(-18) /2(5)

x=  7 +- √409 /10

(20 Points) I just want to be done with this so, some fast help would be much appreciated.

Answers

Answer:

I think it would be C

I'm not completely sure though!

The shaded section of the strip diagram represents the percent of the number of students that get more than 9 hours of sleep each night. Of the students surveyed, 80 get more than 9 hours of sleep each night. How many students were surveyed?

Answers

Answer:

200

Step-by-step explanation:

each square=40

PLEASE HELP!!! And don’t be selfish and take my points. I really need some help

Answers

Answer:

20. 1/2 and 5/7 so the chance would be 5/14 or 20.83

19. 5/7 and 1/2 so it's 5/14 or 20.83 again

18. 2/7 and 11/1 so it's a 22/7 chance or 3.14

Which is true for the following equation?
f(x) = −4x2 + 6x − 7
A) The graph opens up and the vertex is a maximum.
B) The graph opens up and the vertex is a minimum.
C) The graph opens down and the vertex is a maximum.
D) The graph opens down and the vertex is a minimum.

Answers

Answer:

C) The graph opens down and the vertex is a maximum.

Step-by-step explanation:

Just took the quiz on K12, good luck! :)

Option (C) will be the correct option.

Properties of a quadratic equation: If a quadratic function has been given as,

         f(x) = ax² + bx + c

         Vertex of the parabola is represented by [tex][-\frac{b}{2a}, f(\frac{b}{2a})][/tex]

         And the sign of the leading coefficient decides the opening of the

         parabola.

         For positive sign of 'a' → Parabola will open upwards

         For negative sign of 'a' → Parabola opens downwards

Quadratic function given in the question is,

f(x) = -4x²+ 6x - 7

Leading coefficient → (-4)

Negative sign represents the opening of the parabola downwards.

And the vertex will be a maximum.

           Therefore, Option (C) will be the correct option.

Learn more about the quadratic function here,

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