The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Include appropriate units in your answer. :​

Answers

Answer 1
Let M = marker cost
Let P = pencil cost

3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80

4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90

Multiply the first equation by (-3) and add it to the second equation

-9M - 6P = -5.40
4M + 6P = 2.90

-5M = -2.50
M = 0.50

Plug this value for M into the 1st equation and solve for P

3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15

So a marker costs 50 cents and a pencil costs 15 cents

Related Questions

2 × 21/3 =
A 4 2/3
B 4 2/5
C 4 1/3
D 5 1/3

Answers

Answer:

Its 14 but its not in the answer choices so im guessing you meant to put 2×2 1/3 which is 4 and 1/3. Not sure what you meant by this problem but pls let me know if this helps

A test of significance uses evidence provided by sample data to assess whether a claim about a ___________ is supported or refuted.

Answers

Answer:

parameter

Step-by-step explanation:

pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends

Answers

Answer:

It would be right skewed.

Step-by-step explanation:

As you can see, the graph gets smaller as it goes to the right.

PLZ GIVE BRAINLIEST

Points B and D are points of tangency. Find the values of x. B. 2x2 + 4 А 22​

Answers

The value of x from the given circle C is 3 units.

What is tangent property of a circle?

A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.

From the given figure, AB and AD are the tangents from same external point.

Then, AB=AD

2x²+4=22

2x²=22-4

2x²=18

x²=9

x=±√9

x=±3

Therefore, the value of x from the given circle C is 3 units.

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(TCO 3) How many different teams can be organized consisting of two men, two women, and two children? We have the following groups available for team assignments: six men, five women, and four children. Group of answer choices 56 teams 54 teams 52 teams 58 teams

Answers

Answer:

900 teams

Step-by-step explanation:

The order in which the people are selected is not important(John and Josh is the same team as Josh and John), which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Two men(from a set of 6).

Two women(from a set of 5).

Two children(from a set of 4).

How many different teams can be organized consisting of two men, two women, and two children?

[tex]T = C_{6,2}*C_{5,2}*C_{4,2} = \frac{6!}{2!4!}*\frac{5!}{2!3!}*\frac{4!}{2!2!} = 15*10*6 = 900[/tex]

900 teams

(08.03) Consider the following pair of equations:

y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

The answer is (-2,-3) sorry I don’t know how to explain it

Michael drew the figures shown below.
What percent of the figures are quadrilaterals?

A. 12%
B. 25%
C. 52%
D. 60%

Answers

Answer:

d 60%

Step-by-step explanation:

Find the missing angle measurements. 60° 64 45° 49° 53 56 2 ? 649 71°​

Answers

Answer:

The angle vertical to 64° is also 64°

The angle on the upper right side is 60°

The angle on the lower left side is 45°

Step-by-step explanation:

180 - 64 - 56 = 60°

180 - 64 - 71 = 45°

Answer:

The angle vertical to 64° is also 64°

The angle on the upper right side is 60°

The angle on the lower left side is 45°

Step-by-step explanation:

i just took the test

Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
A) Commutative Property
B) Distributive Property
C) Associative Property
D) Inverse Property

Answers

Answer:

b

Step-by-step explanation:

Communities property. This is because the order of (a+5) is just switched around.

the cost of 5kg of potatoes is 3.60£ the cost of 1/2 kg of carrots is 31p. Work out the cost of 13kg of potatoes and 21/2 of carrots

Answers

Answer:  13kg potatoes=9.36    2.5 of carrots=155p

Step-by-step explanation:

potatoes 5kg=3.6  carrots .5kg=31p

value of each kg of potatoes is...

[tex]\frac{3.6}{5} =.72[/tex]  

so

[tex]13*.72=9.36[/tex]

value of each kg of carrots is...

31x2=62

so (I assumed when you typed 21/2 it meant 2 1/2 or 2.5)

2.5x62=155

The cost of 13 kg of potatoes is $ 9.36

The cost of  2 1/2 kg of carrots is $ 155p

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of 5 kg of potatoes be = $ 3.60

Let the cost of 1/2 kg of carrots be = 31p

Now , the equation is

The cost of 1 kg of potatoes = cost of 5 kg of potatoes / 5

                                               = 3.60 / 5

                                               = $ 0.72

So ,

The cost of 13 kg of potatoes is = 13 x cost of 1 kg of potatoes

                                                    = 13 x 0.72

                                                    = $ 9.36

Now , the equation is

The cost of 1 kg of carrots = cost of 1/2 kg of carrots x 2

                                            = 31 x 2

                                            = 62p

The cost of 2 1/2 kg of carrots is = 2 1/2 x cost of 1 kg of carrots

                                                      = 2 1/2 x 62

                                                      = 155p

Therefore , the cost of  13 kg of potatoes is $ 9.36 and cost of  2 1/2 kg of carrots is $ 155p

Hence ,

The cost of 13 kg of potatoes is $ 9.36

The cost of  2 1/2 kg of carrots is $ 155p

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Find AB, B equal 44° C equals 53° and b equals 7

Answers

Answer:

Step-by-step explanation:

Remark

I take it you are studying the sine law. If that is so, Then it will be set up as

Formula

x/sin(53) = 7 / sin(44)     Multiply both sides by Sin(53)

Solution

Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)

x = 7*Sin(53)/Sin(44)

x = 7 * 0.7986/0.6947

x = 8.0848

Note:

The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.

The sine law can also be set up as two ratios side opposite / sin(Angle).

Helppp I’ll brainlest....

Answers

Answer:

1.) B

2.) B

Step-by-step explanation:

1.) The outlier is a dot that is no where near the rest of the data.

2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.

For test 1 the median is 75

For test 2 the median is 85

The dot plots below show the scores for a group of students for two rounds of a quiz:

Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 1 to 5 on the line at intervals of one. There are there are 4 dots above the mark 4 and there are 4 dots above the mark 5. For the bottom dot plot there are 2 dots above the mark 1. There are 2 dots above the mark 2, there is 1 dot above the mark 3, there are 2 dots above the mark 4 and there is 1 dot above the mark 5.

Which of the following inferences can be made using the dot plots?

The range of round 2 is greater than the round 1 range.
Round 2 scores are higher than round 1 scores.
Round 1 scores are lower than round 2 scores.
There is no overlap between the data.

Answers

Round 2 scores are higher than round 1 scores.

The first one adds up to 34 while the second adds up to 36. This puts C and D to false.

if z is real then what is z*?​

Answers

Answer:

Step-by-step explanation:

z is a non negitave real number

You roll a six-sided dice numbered 1-6, and eight sided dice numbered 1-8, and a ten sided dice numbered 1-10. What is the probability of rolling a five on each of the three rolls?

Answers

Answer:

1/480

Step-by-step explanation:

for the 6 sided one

rolling a 5 is 1/6

for the 8 sided one

rolling a 5 is 1/8

for the 10 sided one

rolling a 5 is 1/10

total probability= 1/6*1/8*1/10

= 1/480

Find the missing side length to the nearest tenth of a foot

Answers

Answer:

84

Step-by-step explanation:


Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?

A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km

Answers

it is c i believe. not really sure

given the median QR and trapezoid MNOP what is the value of x​

Answers

Answer:

A.6

Step-by-step explanation:

hope it helps.....

have a great day!!

Answer:

6

Step-by-step explanation:

I WILL GIVE BRAINLYIST IF UR QUICK ITS TIMEDDDD TOOOOO

Answers

Answer:

B I belive

Step-by-step explanation:

find the area, round to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  78 in²

Step-by-step explanation:

The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...

  A = bh

  A = (12 in)(6.5 in) = 78 in²

Find the value of x

Answers

Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

Stastical question
What is most popular lunch choice?

Answers

Answer:

In my opinion its a Ham Sandwich

Step-by-step explanation:

Because its eaten and preferred by most people

In my opinion it’s pizza because you can never go wrong

plz help me thank u very much

Answers

Answer:

Px = √27 = 3√3

Step-by-step explanation:

∆Pxy is a right triangle.

Py = 6

xy = ½*6 = 3

Use pythagorean theorem to find Px.

Px = √(Py² - xy²)

Px = √(6² - 3²)

Px = √(36 - 9)

Px = √27 = 3√3

what is 489.2 divided by 234.8 multiplied by 567 multiplied by .91?

Answers

Answer:

107,501.0749574106

hope this number helps :)

Answer:

1075.01074957

Step-by-step explanation:

(489.2/ 234.8) 567 times 91

Hope this helps you.

9.6 + [(3.1 x 2) - 2.3] + 4 to the 2nd power

Answers

That will be 29.5
Hopefully it’s right

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

JKM IHF

Step-by-step explanation:

Those are outer obtuse angles

Answer:

∠JKM and ∠IHF are alternate exterior angles

Suppose you give 1:6 odds that you can roll a "1" with a single fair die. If someone accepts your bet, how much could you expect to win after 100 rolls if you bet $1 on each roll?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: You would end up being around even, there would be around 86 rolls where you lost a dollar, and 14 that you win, meaning in this case you actually lost 2$

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Arrange and Write the Integers in Increasing Order
-13 9 -17 64 -20 -82

Answers

Answer:

-82, -20, -17, -13, 9, 64

Step-by-step explanation:

With positive numbers, larger numbers are greater than smaller numbers.

For example, 64 is greater than 9.

With negative numbers, ignore the negative sign. Then to compare numbers; the smaller numbers are greater.

For example, -20 is greater than -82.

Answer: -82, -20, -17, -13, 9, 64

Answer:

greatest to least: 64, 9, -13, -17, -20, -82

Least to greatest: -82, -20, -17, -13, 9, 64

Was this the way you wanted me to do it?

Step-by-step explanation:

Write an equivalent expression for 6x -2k - x + 9k

Answers

Answer:

6x-x-2k+9k or the answer

Step-by-step explanation:

6x-x=-2k+9k

5x=7k

Shirley has enrolled for violin classes. She puts in a total of 14 hours of practice
in a week. Find the number of hours spent on practice over a 10 day period.
Show work
Explain your thinking solving strategy

Answers

Step-by-step explanation:

1 week = 7 days

given 7 days = 14 hours of practice

and let x be the number of hours spent on practicing and y the number of days.

from the above expression we can have the equation,

[tex]y = \frac{x}{2} [/tex]

using the equation when y = 10,

[tex] \frac{x}{2} = 10 \\ x = 2(10) \\ = 20[/tex]

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