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 ​

In A Patriotic Bag Of Red, White And Blue M&Ms, It Is Found That There Are 305 M&Ms. There Are

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.

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Related Questions

There were 25 vocabulary words on the quiz. Megan got 60% correct. How many did she get correct?​

Answers

Answer:

15

Step-by-step explanation:

25=100º

x=60

[tex]\frac{25}{x}=\frac{100}{60}[/tex]

[tex]\frac{x}{25}=\frac{60}{100}[/tex]

x=15

Which segment is a dilation of BC using A as the center of dilation and a scale factor of 2/3

Answers

Answer: 45

Step-by-step explanation:

The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.

Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.

Part B
What is the measurement of angle G?

Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.

Part D
What is the measurement of angle C?

Answers

Answer:

Part A) g + 30 + 90 = 180

Part B) G = 60 degrees

Part C) c + 60 = 180

Part D) C = 120 degrees

Step-by-step explanation:

Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.

g + f + e = 180

g + 30 + 90 = 180

Part B: g + 30 + 90 = 180

g + 120 = 180

g = 60

Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.

c + g = 180

c + 60 = 180

Part D: c + 60 = 180

c = 120

Answer:

A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.

B:Solve the equation from Part A to find the measurement of angle G:

90° + 30° + g

180° – 90° – 30°

Angle G measures 60°.

C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.

The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:

c + 60° = 180°.

D:Solve the equation from Part C to find the measurement of angle C:

c + 60°

=  180°

c

=  180° – 60°

c

=  120°.

Angle C measures 120°.

the exact answer from edmentum

Step-by-step explanation:

Can someone help solve?

Answers

The slope will be -2/5

Volume can be found by using the formula: volume = lwh.l = 4, w = 8, and h = 5Volume =

Answers

Answer:

160=volume

Step-by-step explanation:

if l*w*h=volume, and l=4, w=8, and h=5. then we can get an equation:

4*8*5=volume

simplify to get your answer

160=volume

HELPP FAST im tired and it's due realy really really soon

Answers

Answers:

The linear inequality is 2y - 3x >_ -2

Biancas number line is C

Solve for x. PLEASE GIVE EXPLAINED WORK FOR IT

Answers

Answer:

x = 9

Step-by-step explanation:

7x - 25 = 4x + 2 (vertical angles)

7x - 4x = 2 + 25

3x = 27

x = 27/3

x = 9

4(9) + 2 = 38 degrees

evaluate the expression 1/4[x(2y+3z)] x=8 y=3z=5/3​

Answers

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

[tex]3z = \dfrac{5}{3}[/tex]

[tex]\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10[/tex]

what is

4 divided by 1/5

3 divided by 2/3

3 divided by 3/4

4 divided by 2/5

9 divided by 1/2

7 divided by 1/12

5 divided by 2/6

2 divided by 1/4​

Answers

Step-by-step explanation:

0.50.9divides very well

Answer:

1. 4  divided by 1/5 = 20

2. 3 divided by 2/3= 9/2

3. 3 divided by 3/4= 4.5

4. 4 divided by 2/5= 10

5. 9 divided by 1/2= 18

6. 7 divided by 1/12= 84

7. 5 divided by 2/6= 15

8. 2 divided by 1/4= 8

Step-by-step explanation:

i used my fraction calculator


Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?

Answers

11 points because each question is 1 point 20-9 = 11

1p
Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the
cost of 1t-shirt?
$2.00
$2.50
$3.00
$3.50

Answers

Answer:

One t-shirt would cost $3.50

Step-by-step explanation:

$21 / 6 t-shirts = 3.50 each

Answer:

3.50

Step-by-step explanation:

6(2) = 12

6(2.50) = 15

6(3) = 18

6(3.50) = 21

If he paid $21 for 6 t-shirts and each t-shirt was the same price...then the cost of 1t-shirt was $3.50. If you want to double-check this, divide $21.00 by $3.50 and you should get 6 as the answer!

solve please i need this fast

Answers

Answer:

Step-by-step explanation:

b)

5*95 math question ...................

Answers

Answer:

475

Step-by-step explanation:

the reason for this is because it just is

The variables y and x have a proportional relationship, and y = 7 when x = 2.

What is the value of y when x = 5?

Answers

Answer:

35/2

Step-by-step explanation:

y ~ x

y=ky

7=2k

k=7/2

y=(7/2) × 5

y=35/2

Which equation is equivalent to 0.3y +0.4(25 - y) = 6.8 ?

Answers

Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−[tex]\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}[/tex]y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

Find the difference. 8.6 − 2.87

Answers

Answer:

5.73

Step-by-step explanation:

The difference is 5.73.

Can someone help me?

Answers

Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

convert to standard form 2.9x10 to the power of 3 plssss help

Answers

Answer:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

[tex]2.9[/tex] × [tex]10^3[/tex]

But, if you need to write it in scientific notation, the answer is 2,900.

What should you do to get both numeric terms on the right side of the equation?

Answers

Answer: To Get both numeric terms on the right side, for example add 16 to both sides of the equation

Happy To help ;)

Step-by-step explanation:

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.


Which best describes why the function is nonlinear?

The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answers

Answer:

C

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Number of tree purchased                            Total Cost ($)

               1                                                                 60

               2                                                                120

               3                                                                180

               4                                                                240

               5                                                                290

For the linear function rate of change is constant.

Now, between 2 and 3 trees rate of change is given by

Now, between 3 and 5 trees rate of change is given by

This is clearly that the rate of change isn't constant. Therefore, the function is non-linear.

so,

d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Learn more about linear function here

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#SPJ2

helppppppppppppppppppppppppppppppppppppppmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

wheeeeeeeeeeeeere is theeeeeeeeeeee queeeeeeeeeestion?


A box of 15 cookies costs $9.
What is the cost for 1 cookie?
$_____

Answers

Answer:

15 box of cookies =$9

1 box of cookie = $9/15=$0.6

Answer:

.6

Step-by-step explanation:

9÷15 = 0.6

Can i get a step by step for this?

Answers

Answer:

x=86

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

we can use this to get a problem: x+52+42=180

simplify to get:

x+94=180

subtract 94 from each side to get your answer:

x=86

it takes 2/3 of an hour to paint 2/5 of a room

Answers

Answer:

1 and 2/3 hours or 5/3 hours

Step-by-step explanation

1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours  and it'd be the whole room

QUESTION 12
Maria bought 6 books for a total of $360.00. Math books cost $80.00 and science books cost $50.00. How many science books did she buy? Your
answer should be a number only.

Answers

Answer: 4 science and 2 math books

Step-by-step explanation:

Let M and S stand for the numbers of math and science books.

We know that M+S = 6 books

and M*80 + S*50 = $360

Rearance the first: M = 6-S

Use this definition of M in the second equation:

(6-S)*80 + S*50 = $360

480-80S + 50S = 360

-30S = - 120

S = 4

Use S=4 in the first equation (M=6-S) to find the number of math books, 2.

Check to see if there number work:

4*($50)= $200

2*($80)= $320160

Total is $360. It works.

please do this for me

Answers

2x+3+51 = 100
2x+54=100
2x= 46
X=23

Refer to Exhibit 11-4. If a person's taxable income is $50,000, how much does he pay in taxes?
$9,250
$10,110
O $15,000
O $12,500

Answers

Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.

People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.

The amount of taxes is:

= 7,250 + ( 25% x (50,000 - 42,000))

= 7,250 + (25% x 8,000)

= $9,250

In conclusion, the person would pay $9,250 in taxes.

Find out more at https://brainly.com/question/219730.

MARKING BRAINLEIST + A THANKS !!

Answers

30/20

and simplified it would be 3/2
so yeah ur answer is 3/2

Transpose for p
w = p + cg

Answers

Answer:

p = w - cg

Step-by-step explanation:

w = p + cg ( isolate p by subtracting cg from both sides )

w - cg = p

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