A jar containing 12 brown M&Ms and five yellow M&Ms what is the ratio of yellow M&Ms to brown M&Ms

Answer:

Suppose there are x students,

a) 4 pencils  x students+20 (*=multiplication)

b) 5 pencilsx students+10

But a = b so

4x+20=5x+10

x=10

4 10+20 or 5 10+10 = 60 pencils.

Answer:

[tex]x=\frac{5+\sqrt{15}}{2},\:x=\frac{5-\sqrt{15}}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=2,\:b=-10,\:c=5[/tex]

[tex]x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:2\cdot \:5}}{2\cdot \:2}[/tex]

[tex]\sqrt{\left(-10\right)^2-4\cdot \:2\cdot \:5}[/tex]

Apply exponent rule: (-a)^n=a^n, if n is even

[tex]\left(-10\right)^2=10^2[/tex]

[tex]=\sqrt{10^2-4\cdot \:2\cdot \:5}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2\cdot \:5=40[/tex]

[tex]=\sqrt{10^2-40}[/tex]

[tex]10^2=100[/tex]

[tex]=\sqrt{100-40}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:100-40=60[/tex]

[tex]=\sqrt{60}[/tex]

[tex]60\:\mathrm{divides\:by}\:2\quad \:60=30\cdot \:2[/tex]

[tex]=2\cdot \:30[/tex]

[tex]30\:\mathrm{divides\:by}\:2\quad \:30=15\cdot \:2[/tex]

[tex]=2\cdot \:2\cdot \:15[/tex]

[tex]15\:\mathrm{divides\:by}\:3\quad \:15=5\cdot \:3[/tex]

[tex]=2\cdot \:2\cdot \:3\cdot \:5[/tex]

[tex]2,\:3,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:3\cdot \:5[/tex]

[tex]=2^2\cdot \:3\cdot \:5[/tex]

[tex]=\sqrt{2^2\cdot \:3\cdot \:5}[/tex]

Apply Radical Rule:

[tex]=\sqrt{2^2}\sqrt{3\cdot \:5}[/tex]

Apply Radical Rule:

[tex]\sqrt{2^2}=2[/tex]

[tex]=2\sqrt{3\cdot \:5}[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]=2\sqrt{15}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-10\right)\pm \:2\sqrt{15}}{2\cdot \:2}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-\left(-10\right)+2\sqrt{15}}{2\cdot \:2},\:x_2=\frac{-\left(-10\right)-2\sqrt{15}}{2\cdot \:2}[/tex]

[tex]\frac{-\left(-10\right)+2\sqrt{15}}{2\cdot \:2}[/tex]

Apply Rule -(-a)=a

[tex]=\frac{10+2\sqrt{15}}{2\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4[/tex]

[tex]=\frac{10+2\sqrt{15}}{4}[/tex]

[tex]=\frac{2\left(5+\sqrt{15}\right)}{4}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{5+\sqrt{15}}{2}[/tex]

[tex]\frac{-\left(-10\right)-2\sqrt{15}}{2\cdot \:2}[/tex]

[tex]=\frac{10-2\sqrt{15}}{2\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4[/tex]

[tex]=\frac{10-2\sqrt{15}}{4}[/tex]

[tex]=\frac{2\left(5-\sqrt{15}\right)}{4}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{5-\sqrt{15}}{2}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{5+\sqrt{15}}{2},\:x=\frac{5-\sqrt{15}}{2}[/tex]

Answer:

3

Step-by-step explanation:

Rosie's Riveters

1 + 3 + 4 + 2 + 1 + 0 + 2 = 13

Susan Bees

0 + 0 + 5 + 3 + 0 + 1 + 1 = 10

To find out how many they beat the Susan Bees by you need to subtract.

13 - 10 = 3

Rosie's Riveters beat the Susan Bees by 3 runs.

Answer:

14 oz

Step-by-step explanation:

A week has 7 days and you need to ration your bread over them.

98 / 7 = 14

Answer:

C

Step-by-step explanation:

2/n=2/3

n=3

Step-by-step explanation:

320 = 80 × 4

80 = 8 × 10

4 = 2 × 2

10 = 5 × 2

bold one's are answer.

hope this helps you.

Answer:

x=40

Step-by-step explanation:

The angles of both expressions (4x-28) and (3x+12) are congruent (alternating exterior angles). So, you can set up the equation 4x-28 = 3x+12 because both expressions are equivalent, so it makes sense. Then solve for x.

4x - 28 = 3x + 12

x - 28 = 12

x = 40

Answer:

Step-by-step explanation:

First Choice

Answer:

the answer to this is

A) nonlinear

Step-by-step explanation:

this is not linear because the line is not a line that goes in 1 direction. It has points of an increase and decrease so it is non linear

Answer:

it is not linear

Step-by-step explanation:

It is not a linear line because it is not going straight

Answer:

4/5

Step-by-step explanation:

There are 10 tiles total, and E and I are vowels. This makes 2/10 of the tiles tiles. The other 8/10 are not vowels.

8/10 can be simplified down to 4/5.

There is a 4/5 probability of picking a letter that is not a vowel.

Answer:

y = -0.05x  + 2.05

Step-by-step explanation:

y = 21/x = 21x^-1

y' = -21x^-2 = -21/x^2

At x = 21 slope = -21/(21)^2 = -0.05 to nearest hundredth.

Tangent line is y - 1 = -0.05(x - 21)

y = -0.05x + 1.05 + 1

y = -0.05x  + 2.05

Was it this instead? [tex](-1-2a^{2}b)(1-2a^{2}b)[/tex]

Answer:

[tex]4a^{4b}-1[/tex]

Step-by-step explanation:

I am assuming your question is this.

[tex](-1-2a^{2b})(1-2a^{2b})[/tex]

Apply the difference of 2 squares formula.

[tex](a-b)(a+b)=a^{2} -b^{2}[/tex]

So then we have.

[tex](-1-2a^{2b})(1-2a^{2b})=(-2a^{2b})^{2}-1^{2}[/tex]

Then simplify.

[tex]4a^{4b}-1[/tex]

Answer:

3 x 10^4

(3rd option)

Step-by-step explanation:

8.9 divided by 3.3 is 2.69

8.9 is roughly 9

3.3 is roughly 3

9 divided 3 is 3

10^8 divided 10^4 is 10^4

when dividing numbers with exponents you subtract the exponents

so the best estimate is

3 x 10^4

Answer: spencer left after 14 days

Step-by-step explanation:

To find out the box number the boxes, extract the same number of balls as the number of the box, calculate the total weight.

Considering you can only weigh the balls extracted once and you need to find the box with balls that are 1-kilo lighter; here are the steps you can follow:

The total weight using this method would be 6,300 kg which is the result of adding 30 kg (first box) + 60 kg (second box)... However, since there is a box with lighter balls the total weight will be less.

Let's imagine the weight is 6,290, this means there are 10 fewer kilos and therefore the box with the lighter balls is box 10 since this is the box number from which 10 balls were extracted.

Learn more about weight in: https://brainly.com/question/10069252

I believe 12 inches because 1 ft is equal to 12 inches.

Answer:

7

Step-by-step explanation:

x² + 5y² + 2y = 75

2x + 10y * dy/dx + 2 dy/dx = 0

2x + (10y + 2) dy/dx = 0

x + (5y + 1) dy/dx = 0

when x = 6, y = -3

6 + (-15 + 1) dy/dx = 0

6 - 12 dy/dx = 0

dy/dx = 1/2

dy/dt = dy/dx * dx/dt = 1/2 * 14 = 7

Answer:

x+y=12

Step-by-step explanation:

Standard form is ax+by=c

Given, y-8 = -(x-4)

y-8=-x+4

x+y=4+8

x+y=12

Answer:

x + y = 12

Step-by-step explanation:

Standard form is Ax+By=C

so the goal is to get the y and the x on the same side without and negatives or fractions on that side.

y - 8 = - (x - 4)  first, start by simplifying

y - 8 = -x +4  next, because it is negative, we are going to add x to -x on the right side to get it to cancel out and we'll add x to y on the left side

x + y - 8 = 4  now we need to get rid of that eight so we'll add 8 to -8 so it cancels out and we'll add 8 to 4

x + y = 12 now it is in standard form

Answer:

down

Step-by-step explanation:

c) 6 and 8

a) 7 and 1

b) 5 and 4

Answer:

you might have to post a pic of the question

========================================================

Explanation:

Going from the first term to the second, we add on -2

Then going from the second term to the third, we add on +2

This inconsistency (-2 vs +2) means we don't have a common difference, and therefore the sequence is not arithmetic.

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

Now let's divide each term by their previous term

term2/term1 = 0/2 = 0

term3/term2 = 2/0 = undefined

We can stop here and conclude that we don't have a common ratio either, so this sequence is not geometric.

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

Side note: The subsequence 0,2,4,6,... is arithmetic with common difference d = 2 because we add 2 to each term. It's that first 2 in the original sequence that breaks everything.

Answer:

See below.

Step-by-step explanation:

When graphed, the line would have a y-intercept of 13.25.

So, the equation would be y=3/4x+13.25.

-hope it helps

Answer:

X = 11/36

Step-by-step explanation:

First, find the common denominator of the fractions and convert them.

(4/9) x 4 = 16/36

(3/4) x 9 = 27/36

X + 16/36 = 27/36

Now you can solve for X

X = 11/36

The fraction cannot be simplified

Answer: A roll of 150 nickels is $300 :)

The expected number of red candy that you will get out of 10 bags is 3 red candies.

In each bag there are 100 candies, such that there are:

All the candies have the same probability of being randomly selected, so the probability of getting a red candy is equal to the quotient between the number of red candies in each bag and the total number of candy.

P = 30/100 = 0.3

Then if you draw one candy of each bag of 10 bags, the expected number of red candies that you will have is 10 times the above probability:

N = 10*P = 10*0.3 = 3

3 red candies.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

The other factor is 12⇒ A

Step-by-step explanation:

The factors of a number are all the numbers multiplied to form this number

Examples:

The factors of 12 are 1, 2, 3, 4, 6, 12 because

1 × 12 = 12

2 × 6 = 12

3 × 4 = 12

∵ The product of numbers = 1236

∵ One factor of that number is 103

∴ ------ × 103 = 1236

→ Divide the number by its factor to find the other number

∴ 1236 ÷ 103 = -------

∵ 123 ÷ 103 = 1 R 20

∵ 206 ÷ 103 = 2

∴ 1236 ÷ 103 = 12

∴ The other factor is 12

Answer:3500

Step-by-step explanation: