In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?

A. 50
B. 75
C. 35
D. 105
E. 95

Answers

Answer 1

Using a system of equations, it is found that the number of blue M&Ms in the package is of:

D. 105

What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.

There are 305 M&Ms, hence:

[tex]x + y + z = 305[/tex]

There are three times as many red as white, hence:

[tex]x = 3y[/tex]

[tex]x + y + z = 305[/tex]

[tex]3y + y + z = 305[/tex]

[tex]4y + z = 305[/tex]

The blue are five more than twice the white, hence:

[tex]z = 5 + 2y[/tex]

Then:

[tex]4y + z = 305[/tex]

[tex]4y + 5 + 2y = 305[/tex]

[tex]6y = 300[/tex]

[tex]y = \frac{300}{6}[/tex]

[tex]y = 50[/tex]

[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]

Hence option D is correct.

To learn more about system of equations, you can take a look at https://brainly.com/question/24823220

Related Questions

a meterologist said that it rained during 20 % of the past 60 days. on how many days did it not rain

Answers

Answer:

48 days

Step-by-step explanation:

20% of 60 is 12

60-12=48

Answer:

Step-by-step explanation:

20% of 60 is 12, 60-12=48

Hope that helps

Sooo my math teacher who’s a pain in the behind was the only one gave us homework while we’re out for and extended 1 day so if you would please help me bc I have to go back and turn this in tomorrow, please and thank you :/ (just 8-16)

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Answer:ok??/????????

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How high can Ron lift a feather with his magic?

Answers

Answer: 705 cm

Step-by-step explanation:

Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525

centimeters (cm) into the air. That is 5 times as high as Ron can lift a feather.

How high can Ron lift a feather with his magic?

Hermione = 3,525 cm

Hermione = 5 × Ron

Substitute Hermione = 3,525 cm into

Hermione = 5 × Ron

3,525 = 5 × Ron

Ron = 3,525 / 5

= 705

Ron = 705 cm

A T-shirt costs $4. A pair of shoes costs 7 times as much as the T-shirt. How much do the shoes cost?

А. $11

B $30

C $28

D $24

Answers

youre answer is C because you multiply 4$ by it’s self seven times 4x7=28

$28.
Step by Step~
$4- tshirt
Shoes- 7x as much as tshirt
$4x7 = 28

IT IS 2AM AND ITS DUE IN LIKE AN HOUR PLEASE HELP

Answers

13) As they’ve given the zeros, you can use those to create factors. Since the zeros are x=-1, x=-3, and x=4, by making the right side 0 in each equation, you get the factors (x+1), (x+3), and (x-4). Then, you can multiply those factors using box method or FOIL or whichever method you prefer. By multiplying (x+1) and (x+3), I got x^2+4x+3. Then, I multiplied that by (x-4) to get x^3-13x-12, which is your final answer.

14) Using the same steps in 13, I found the factors. As the zeros are x=-6 and x=0, I got the factors (x) and (x+6). Then, I multiplied them and got x^2+6x, which is the answer.

15) x=1, x=1, x=2. These become the factors (x-1), (x-1), and (x-2). Then, by multiplying (x-1) and (x-1) you get x^2-2x+1. Multiply that by (x-2) to get your final answer, x^3-4x^2+5x-2.

16) Zeros are x=-1, x=5, and x=-2. You get the factors (x+1), (x-5), and (x+2). Multiply (x+1) and (x-5) to get x^2-4x-5. Multiply that by the other factor, (x+2), to get your final answer, x^3-2x^2-13x-10.

Solve for x
5x−4≥12 OR 12x+5≤−4

Please help, I'm stuck and I'm not really getting the hang of this yet.

Answers

Answer:

No solution

Step-by-step explanation:

5x−4≥12 AND 12x+5≤−4

solve it separately

5x - 4>=12

add 4 on both sides

5x >= 16

Divide both sides by 5

x > = 16/5

12x+5≤−4

subtract 5 from both sides

12x <= -9

divide both sides by 12

x<= -9/12

x<=-9/12 and x>= 16/5

There is no intersection between the inequalities

so there is no solution

5x−4≥12 OR 12x+5≤−4
Both of them are one and the answer is similar

5x−4≥12
5x ≥12+4
5x ≥16
X ≥16/5

2.5. Five friends went out to dinner. They each paid $13.75 for the meal, including a 7% sales tax. What was the total cost of the meal before the tax was added?
A.$61.75
B. $63.94
C. $64.25
D. $73.92

NO LINKS

Answers

This is the answer D.73.92

Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets of 4 digits could it be?

Answers

Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8 for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So as there are 5 possible last digits , the total possible sets of digits

= 5 * 100

= 500.

Plz help me, thx you

Answers

Answer:

transversal line is line A. parallel lines are B and C. corresponding to angle A is angle D. and alternate angle to E is G.

Graph: y+2= -3/4 (x + 4)

Click or tap the graph to plot a point.

Answers

Answer:

Put the dot on the 5 on the Y-axis

Step-by-step explanation:

Put the initial dot on the 5 on the y-axis (vertical), then it's rise over run if plotting a line. Since it's 3/4 you would go up 3 and over to the right four. You can get the rest of the line by going down 3 from the initial point on five, down left 3.

The y-intercept of the line is (0, -5) and plot the coordinate points (0, -5) and (4, -8) on the graph.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is y+2= -3/4 (x+4).

Graph the line using the slope and y-intercept, or two points.

Slope: -3/4

y-intercept: (0, -5)

Plot the coordinate points (0, -5) and (4, -8)

Hence, plot the coordinate points (0, -5) and (4, -8) on the graph.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ7

Can someone please help-

Answers

Answer:

5[tex]\frac{17}{18} }[/tex]

Step-by-step explanation:

sas, sss, aas, or not enough information

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Two Angles and the side between them are equal to corresponding Angles and side of another triangle ( one of the Angles are equal because of vertical opposite angle pair ), so the required congruency criteria to prove them equal is :

ASA

Answer:

ASA

Step-by-step explanation:

Find (i) x ,y ,z and w (ii) x + y + z + w

Please lemme know with explanation

Answers

Answer:

x = 60°, y = 100°, z = 120°, w = 80°

Step-by-step explanation:

x and 120° are adjacent angles on a straight line and sum to 180°

x + 120° = 180° ( subtract 120° from both sides )

x = 60°

Similarly

y + 80° = 180° ( subtract 80° from both sides )

y = 100°

and

z + 60° = 180° ( subtract 60° from both sides )

z = 120°

--------------------------------------------------------------------

The sum of the interior angles in a quadrilateral = 360°

sum the interior angles of the quadrilateral and equate to 360°

60° + 80° + 120° + 4th angle = 360°

260° + 4th angle = 360° ( subtract 260° from both sides )

4th angle = 100°

w and 100° are adjacent angles on a straight line and sum to 180° , so

w + 100° = 180° ( subtract 100° from both sides )

w = 80°

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Depends on which one

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ez ez ez ez

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Answer:

Two-Column, Paragraph and Flowchart Proofs.

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Answers

Answer:

Step-by-step explanation:

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he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.

Answers

Answer:

Step-by-step explanation:

Ratio of angles = 2 : 3 :5

Angles are 2x , 3x , 5x

Sum of all angles of triangle = 180

2x +3x + 5x = 180

10x = 180

x = 180/10

x = 18

2x = 2*18 = 36

3x = 3*18 = 54

5x = 5*18 = 90

Smallest to largest

36 , 54 , 90

Answer:

36°, 54°, and 90°

Step-by-step explanation:

The sum of interior angles of a triangle = 180

Remember: The sum of the interior angles = (number of sides - 2)(180)

2:3:5 means 2x:3x: 5x

2x + 3x + 5x = 180

10x = 180

x = 18

The angles are 2(18) = 36°

3(18) = 54°

518) = 90°

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B. 1, 2, 3, 4, 6, 9, 12, 18, 36
C. 1, 2, 3, 4, 5, 9, 12, 18, 36
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Answer:

Step-by-step explanation:

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He lost money this week, as he spent $12 more on supplies than he earned back.

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Answer:

Step-by-step explanation:

One number is 13 more than another number. Their sum is 27. Find the two numbers.
Enter your answer as a list of numbers separated by a comma: a,b

Answers

Add 14 and 13+14=27...ans

Express (2+3)
as a trinomial in simplest form,

Answers

Answer:

A trinomial is an algebraic equation composed of three terms and is normally of the form a[tex]x^{2}[/tex] + bx + c = 0, where a, b and c are numerical coefficients. The number “a” is called the leading coefficient and is not equal to zero (a≠0). For instance, x² − 4x + 7 and 3x + 4xy – 5y are examples of trinomials.

Step-by-step explanation:

Please recheck your question.

find the second and third terms of each sequence with the information provided

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Answers

To be honest I don’t know

Sophie has 9 cards.
There is a number on each card.
a
5
4 42
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Sophie takes at random two of the cards.
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a marked

Answers

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Step-by-step explanation:

what is X?
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Answers

Answer:

The answer would be 36/7 and that would be 5.14285714286

Step-by-step explanation:

Answer:

Step-by-step explanation:

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helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

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Step-by-step explanation:

and then when you add all of the given measurements you will have the distance from clear lake to the end of her hike

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Answer:

should be 13

Step-by-step explanation:

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Is it:
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Answers

Answer:

it's A 10

Step-by-step explanation:

10+20= 30

so 15×2=30

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2( = ×2

10 is the answer have a great day. brainliest?

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In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?A. 50B. 75C. 35D. 105E. 95 ​

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In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?

A. 50
B. 75
C. 35
D. 105
E. 95