Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug

Answers

Answer 1

Answer:

$4

Step-by-step explanation:

5c + 4p=28 equation 1

2c + 2p=12 equation 2

-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.

-4c-4p=-24 equation 2 multiplied by -2

5c+4p=28. Equation 1

c=4 added above 2 equations

solve for plates:

2c + 2p=12

2(4)+ 2p=12

8+2p=12

2p=4

p=2

check answer:

5c+4p=28. Equation 1

5(4)+4(2)=28

20+8=28

28=28


Related Questions

Please help !!!!!!

Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.

Answers

Answer:

Clare starts with:

a*x^2 + b*x + c = 0

And she gets to:

(2*a*x + b)^2 = b^2 - 4*a*c

Now we want to show the final steps to solve the equation (isolating x)

First, we apply the square root to both sides:

[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]

Because the square root has two solutions, (one negative and one positive), we will write:

[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]

Now we subtract b in both sides:

[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]

[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]

Now let's divide by 2*a in both sides:

[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]

[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]

I NEED HELP!!! ASAP!!

Answers

Answer:

1)

Perimeter=24 inches

Area= around 43.46 inches

Step-by-step explanation:

1) Perimeter = 3in * number of sides

Perimeter = 3*8 = 24

Area= 2(1+ square root of 2) length of one side squared

=42.46

2)

Perimeter = 24

Area= 43.46 inches squared- 3inches

3)

Perimeter = 24

Area= 43.46- triangle area

triangle area = height x base /2

Height = 3, we can compare it.

Base = 3

Triangle = 9/2

Area = 43.46- 4.5

Area =38.96

Can't see 4 and 5 for some reason

6)

Perimeter =  30

Area = 61.94

Sorry if its incorrect, I am just 4th grade :(

Determine the slope of the line.

Answers

Answer:

2/3

Step-by-step explanation:

Find the area of the shape below

Answers

Answer:

2 times 2 =4 4 times 4 =16 then you add I think

Describe fully the single transformation that takes shape P to Q

Answers

Answer:

Triangle P is scaled up 3 times to become triangle Q.

find 46% of 70. Do not round your answer.

Answers

Answer:

the answer is 32.2

Step-by-step explanation:

Not rounded

hope this helps

Answer:

32.2

Step-by-step explanation:

70 divided by 100 times 46

On the same exam, Alyssa's friend Jessie answered three times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Alyssa or Jessie?

Answers

Complete question is;

Alyssa took a math test with 20 questions and she answered 16 questions correctly. In order get an A, she needs to answer at least 90 percent of the questions correctly.

A) Did Alyssa get an A on this math test? Explain.

B) How many questions would Alyssa need to answer correctly in order to get an A?

C) On the same exam, Alyssa's friend Jessie answered three times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Alyssa or Jessie

Answer:

A) she didn't get an A because she scored less than 90%.

B) She will need to answer 18 correctly to get an A.

C) Alyssa had a higher percentage.

Step-by-step explanation:

A) Alyssa answered 16 out of 20 questions correctly.

Converting this to percentage gives;

16/20 × 100% = 80%

Now,we are told she needs at least 90% correct answers to get an A.

She scored 80% which is less than 90% mark of A, therefore she didn't get an A.

B) Let the number of minimum questions to answer correctly out of 20 be x.

Thus, since it is 90%.

Then;

x/20 × 100% = 90%

making x the subject;

x = 90 × 20/100

x = 18

She will need to answer 18 correctly to get an A.

C) her friend Jessie answered three times more questions correct than incorrect.

This means for every 4 questions answered, she had 3 correct and 1 incorrect.

Thus,

For 4 questions she had 3 correct answers, then for 20 questions, she will have: 20 × 3/4 = 15 correct questions

Which corresponds to;

15/20 × 100% = 75%

Thus, Alyssa had a higher percentage.

which of the following will not have congruent diagonals

Answers

As diagonals are not perpendicular, it cannot be a square or rhombus (latter does not have congruent diagonals). Hence, quadrilateral is a rectangle.

What is the distance between the integers (-15) and (-9) on a number line?

Answers

Answer: 6 Im sure

Step-by-step explanation:

Hola, ¿cómo está tu día?

Answers

Answer:

Muy bien, y usted?

Answer:

es una pregunta o necesitas eso traducido al inglés ¿?

Can someone help me with this

Answers

Answer:

C

Step-by-step explanation:

1. Absolute values are in the shape of a V, so the answer is automatically C.

2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.

The answer is going to be C :)

Find x so that w is parallel to v.

Answers

Step-by-step explanation:

the illustration is not with the question

Find the measurement of the exterior 1

Answers

Answer:

Sorry, but I can't see this well! I am on lapton, and it is impossible to tilt the whole thing over.

Answer: A: 145 degrees

Step-by-step explanation:

Calculate (1.6) · (0.215). Show your reasoning.​

Answers

Answer:

0.344

Step-by-step explanation:

i cant show reasoning its just 1.6 times 0.215

thank you. please answer asap!​

Answers

Answer:

96 i think

Step-by-step explanation:

I think its 96. just multiply all the sides

which of the following statements best describes the association

Answers

Answer:

C

Step-by-step explanation:

For one, it's negative so all positive answers can be eliminated.

Secondly, the y axis is hit on positive 3. No point even hits negative 3.

Knowing that, the only choice left is C.

The area of a circular plate is 625 pi square inches. If the radius of the circle is tripled, what is the area of the new circle?


A).1090 π in²

B).1270 π in²

C).6715 π in²

D).5625 π in²

Answers

Answer:

D.) 5625 pi inches squared

Step-by-step explanation:

square root of 625 = 25

25 x 3 = 75

A= pi r(squared)

A= 75squared pi

A= 5625 pi inches squared

Answer: D

Step-by-step explanation:

does the letter v contain a corresponding angle?

Answers

I think you forgot the photo

Is this shape a polyhedron? If it is what is the name of the shape?

Answers

Yes it is a polyhedron I forgot the name though.

Plz help will give brainalist. Please try...

Answers

Its 382.98 the answer

Can somebody plz help answer these questions correctly thanks (only if u know how to do this) :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST...promise :DDDD

Answers

17. Range:101 Mean:225
18. Range:42 Mean:114.8
19. Range:180 Mean:804.2
I hope you do amazing!

You are buying a home for $158,950. You have an annual interest rate of 3.72% over the next 30 years. How much is the final cost of the house after 30 years? Round to the nearest hundredth

Answers

the answer is $475,484 I believe

Please help me with my work

Answers

Answer:

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Step-by-step explanation:

Answer:

Down below is the answer.

Step-by-step explanation:

So, lets remember that the pythagreon theorm is only useable in right traingles.

The formula for the pythagreons theorm is A^2+B^2=C^2

So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.

Lets solve the pythagroens theorm and plug in our values:

4^2+3^2=5^2

Now lets use the square roots:

16+9=25

COmbine the two numbers:

25=25

This is correct!

So yes, this is a right triangle.

HOpe this helps! :)

Five apples and four oranges cost $11.80. One apple and six oranges cost $9.90. how much does one orange cost?

Answers

Answer:

the cost of orange is 170

Answer:

One orange costs $1.45.

Step-by-step explanation:

Since there are two variables, you have to set up a 2 variable equation.

Let's let a = apples and o = oranges.

So, we can set up this problem as:

5a + 4o = 11.80

1a  + 6o = 9.90

You can solve a 2-variable equation using either elimination or substitution. Here, I think it's easier to use substitution. To do that we have to substitute one variable with an equation that uses only the other so that we only have one variable.

We can manipulate our second equation so that it is:

a = 9.90 - 6o

Then, we can plug this in for a in the first equation. So,

5 (9.90 - 6o) + 4o = 11.80

49.5 -30o +4o = 11.80  (Distribute the 5)

49.5 - 26o = 11.80  (Combine like terms)

-26o = -37.7 (Subtract 49.5 from both sides)

o = 1.45 (Divide by -26)

o = 1.45

So, an orange costs $1.45.

please help me ill mark as brilliant if its correct:)​

Answers

B , sorry if it is wrong !

Answer:

(-3, -1/2)

Step-by-step explanation:

[tex]-\frac{2}{3} (-3) - 4*(-\frac{1}{2}) = 2-(-2) = 4[/tex]  > 0

Ms. Acton spent $205.60 at Target. If the sales tax is 10%, what was her final bill?​

Answers

Answer:

$217.94

Step-by-step explanation:

Jesse and her family are painting their house. When they first started, they bought four 16-cup cans of paint. In order to paint their house, it took all of those cans plus they needed another 16-cup can of paint. How many cups of paint did it take Jesse and her family to paint their house?

Answers

Answer:

80

Step-by-step explanation:

yes

A box contains 40 cards. Meg takes out 16 cards without looking: 2 red 2 yellow 8 blue and 4 green cards. which statement is most likely to be true about the 40 cards based on megs sampling?

Answers

There is 20 blue cards in the deck

Which shape contains exactly two pairs of parallel lines?

Trapezoid
Rectangle
Equilateral triangle
Acute triangle

Answers

Answer:

Rectangle is the correct answer hope it helps you have a great day keep smiling be happy stay safe ☺️

Answer:  B) Rectangle

A rectangle is a special type of parallelogram. Any parallelogram has two pairs of opposite parallel sides. A rectangle is a parallelogram where all four angles are the same, and all four angles are 90 degrees.

Keep in mind that not all parallelograms are rectangles, but any rectangle is always a parallelogram.

In slight contrast, a trapezoid has exactly one pair of parallel lines, while the other pair of opposite sides are not parallel. Triangles of any kind can be ruled out because they don't have any parallel sides at all.

Marlene estimates that 48% of 1,220 is about 600. Which estimates describes why this is a reasonable estimate?

Answers

Answer:

By rounding

Step-by-step explanation:

48 % means 48 percent which 48 out of 100.

48% of 1220

= 48/100*1220

= 0.48*1220

=585.6 which is almost equal to 600

1) By rounding

Now if we round 48%  we get  50 % as 8 > 5 and 1 is added to 4 making it 5 in tens place leaving 0 in unit's place.

So 50% of 1220

0.50*1220= 610

Again rounding 610 would give 600 as 1 is less than 5 and we drop it out from the tens place leaving zero behind.

2) Complementary

IF we subtract 48% from 100% we get 52%.

So 52% of 1220 would be 634.4

IT again can be rounded in 2 ways Either 52% can be rounded to 50% and 634.4 can be rounded to 600.

Both would give 600

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