Rob bought a hat and 3 shirts for $35 . Dan bought 2 hats and a shirt for $20 Which system of equations can be used to find s , the cost of one shirt, and h, the cost of one hat?

Answers

Answer 1

Answer:

1x+3y=35, 2x+y=20

x=5, y=10

Step-by-step explanation:

Let x equal the number of hats and y equal number of shirts.

Solve by substitution, elimination, or graphing.

Personally, I just solved by substitution.

Solve for x (or y) in the first equation. Let's do x.

1x+3y=35 goes to 1x=35-3y or just x=35-3y.

Since we have x, plug it in the other equation. 2(35-3y)+y=20. This equals out to y=10, i assume you understand the algebra.

Plug 10 into either equation for y.

1x+3(10)=35 or x+30=35. subtract 30 on each side. X=5.


Related Questions

Find the length of D. ​

Answers

Answer:

root 50

Step-by-step explanation:

Pythagorean theorem d is the hypotenuse

Answer:

5/2

Step-by-step explanation:

/50 if you do a2+b2=c2 and c=d

If x=3 and y = ─ 4 , find i) (x─y) ─ y ii) ( x+y) +x 2. Write two pairs of numbers satisfying the equation xꓥ2 + yꓥ2 = 25

Answers

Answer:

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Step-by-step explanation:

Step(i):-

Given that x =3 and y=-4

i)  (x -y) -y = (3-(-4))-(-4) = 3+4+4 = 11

ii) (x+y) + x² = ( 3 -4) + (3)² = -1 + 9 = 8

Step(ii):-

Given equation  

                    x² + y² = 25

we can choose (x,y) = ( 3 , -4)

                 3²+(-4)² = 25

                     25    = 25

The ordered pair ( 3,-4) satisfies the equation

second ordered pair ( 3 ,4)

                        x² + y² = 25

                       9 + 16 = 25

                           25 = 25

Final answer:-

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Helppppp me please ???

Answers

Answer:

176•74

Step-by-step explanation:

area of circle is πr^2

π=3•142

r=7•5

3•142×7•5×7•5

=176•737

176•74

what are traits that most religions share in common

Answers

Answer:

Something that the five major world religions (Christianity, Judaism, Buddhism, Hinduism and Islam) have in common is a sense of community. A sense of community provides group cohesion and identity, as well as a way for rituals and traditions to be passed down from generation to generation.

You set up a hot chocolate stand at a football game. The cost of your supplies is $75. You charge $0.50 for each cup of hot chocolate. Write a function that represents the profit P for selling c cups of hot chocolate.

Answers

Answer:

P = 0.5c - 75

Step-by-step explanation:

Profit is = selling price. - cost price

Cost price is the amount the supplies were bought = $75

The cost of c cups at $0.5 per cup will be

0.5 * c = $0.5c

The profit here is thus;

P = 0.5c - 75

2. i. Mr. h. wants to save $80,000 for his son to go to
Stanford. How much money at 5% interest does he need
to invest if he has 10 years (compounded monthly)?
ii. How much money per month would he have to invest to
reach the same goal?

Answers

Step-by-step explanation:

$80,000×5×10/100= 40,000

need geometry help please

Answers

Answer:

I think C

Step-by-step explanation:

is -27 divided by (-3) positive or negative & how

Answers

Answer:

It is positive (9)

Step-by-step explanation:

Negative ÷ negative = positive

Negative ÷ positive = negative

positive ÷ positive = positive

positive ÷ negative = negative

Negative × negative = positive

negative × positive = negative

positive × positive = positive

Positive × negative = negative

If both symbols are the same, it is positive. If one is positive and one is negative (different symbols), it is negative.

The result is 9. Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.

When dividing -27 by -3, the result is positive. In this case, the negative signs cancel out each other, and two negatives make a positive.

To understand why, think of division as the process of finding out how many times one number (divisor) can fit into another number (dividend). In this case, we are trying to find out how many times -3 can fit into -27.

-27 ÷ (-3) = 9

Here's the step-by-step calculation: -3 times 9 equals -27, which matches the dividend. So, the result is 9.

Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.

In conclusion, -27 divided by -3 is positive 9.

To know more about divisor

https://brainly.com/question/552761

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Someone help!
Graph the solution to the inequality on the number line.
h > 75.5

Answers

Answer:

D

Step-by-step explanation:

hope it helps

....... .

The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

h > 75.5

The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.

More about the number line link is given below.

https://brainly.com/question/13189025

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The body of a 154-pound person contains approximately 2 x 10-1 milligrams of gold and 6 x 101 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?​

Answers

Answer:

About 32 times

Can someone PLEASE solve this quadratic equation by factoring with the steps? :(

y= x squared +2x - 2

Answers

Answer:

There are no simple factors to this expression.  You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process.  You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2.  We can however solve for x:

[tex]y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}[/tex]

Which is the correct simplified version of the expression 32x + 8 - 34x? *
66x + 8
-2x + 8
74X
6x

Answers

Nankalallspsııwı ıı ove ben

Answer:

-2x+8

32x+8-34x

32x-34x=-2x

-2x+8

Anyone who know,s this please help?

Answers

The correct line is B hope this helps tell me if u need help

leaving the freeway, denise slows from 55 mph to 35 mph in 4 seconds. what was her rate of deceleration?​

Answers

Answer:

5 miles per hour/second

Given that
9^-1/2 = 27^1/4 ÷ 3^x+1
Find the exact value of x. ​

Answers

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]

[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]

[tex]3^{-1}= 3^{1-x+1}[/tex]

[tex]3^{-1}= 3^{2-x}[/tex]

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

Learn more about this algebra here:

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Kin drives 160 miles on Monday and 105 km on Tuesday. How many km did he drive in total? Use 5 miles = 8 km.
PLEASEE HELPP!!!!!

Answers

Answer:

Δ······∵······∴······Hello Friend······∴······∵·······Δ

Your answer should be:

362.495 Kilometers

Step-by-step explanation:

I hope this helped. Please tell me if it didn't.

(If it didn't I'm sorry :( )  

(Brainliest would be highly appreciated)

Thanks for your time! Have good day!

I tried search this but it wouldn’t work

Answers

Answer:

I dont know that try asking one of the tutors one here

(x+a)^2-(x-b)^2+x^2+(a-b)x-ab by (a+b)

Answers

Answer:

(a+b)(2x−ab+a−b)+x(a−b)+x²

Step-by-step explanation:

I can't make a good explanation, so here's a graph.

Also, this wouldn't be a proportional relationship because of exponents on the last term.

This is really a parabola.

2.67 times .43
show work​

Answers

hope this helps lol that means the answer is 1.1481

A plane is beginning to descend when it is 10,000 feet in the air. The straight line distance (hypotenuse) to the airport is 25,000 feet. What is the angle of depression at which the plane began its descent? Round your answer to the nearest degree.

Answers

Answer:  35,000

Step-by-step explanation:

Please answer the question please. The question is down below.

Answers

Jaiosofopfpfpspappapp

1 point
Draw a triangle with the following interior angles: Angle 1=71 degrees and
Angle 2= 82 degrees. FIND Angle 3. WRITE ANSWER AS THE FOLLOWING;
Angle Angle 3=#
Your answer

Answers

Answer:

angle 3 = 27 degrees

Step-by-step explanation:

Answer:

Angle 3 = 27

Step-by-step explanation:

Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.

You purchase a video game system for $150. You make a down payment of $25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment ?


Can you help me set the problem up too? thx

Answers

9514 1404 393

Answer:

  $25

Step-by-step explanation:

Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.

  5p +25 = 150 . . . . an equation representing the relationships

__

To solve this, subtract 25 and divide by 5.

  5p = 125

  p = 125/5 = 25

Each monthly payment is $25.

8th grade math homework, I need help

Answers

Answer:

c = √18

Step-by-step explanation:

c² = 3² + 3² = 18

so c = √18 = 3√2 ≈ 4.24

HELP ASAP: How far apart are the spider and the fly?(it needs to be written in a equation, then round to the nearest 10 if necessary)

Answers

It is a right triangle. The distance is the hypotenuse of the triangle.

Use the Pythagorean theorem:

Distance = sqrt(3^2 + 2^2)

Distance = sqrt( 9 + 4)

Distance = sqrt(13) (exact distance)

As a decimal sqrt(13) = 3.60555

I need help on this please

Answers

Answer:

which one?

Step-by-step explanation:

Answer:

Question 13: 2

Question 14: -10

Step-by-step explanation:

PLEASE HELP ON ALL OF THEM!!
i WILL MARK BRAINLY

Answers

Answer:

on what

Step-by-step explanation:

Answer:

Nothing showed up :/

Step-by-step explanation:

To multiply 10 with 2/5
you should_________.

Answers

Answer:

convert 2/5 to a decimal, which is 0.4

multiplying a value by 10 means you should move the decimal point one unit to the right

so 10 x 2/5 = 4

Step-by-step explanation:

Answer:

i should multiply 10 by 2/5

10×2/5

=20/5

=4

what is f (-2) if f (x) = 1/2x?

Answers

[tex]f(x) = \dfrac{1}{2x} \\~\\~\\f(-2) = \dfrac{1}{2\cdot(-2)} \\~\\~\\f(-2) = -\dfrac{1}{4} \\~\\~\\f(-2) = -0.25[/tex]

Find the volume of the rectangular prism.
The volume of the rectangular prism is

centimeters cubed.fill in the blank

Answers

I think it 9/512 cm sq
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