You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into smaller bags, and you want each bag to have the same number of fireballs and jolly ranchers and. How many bags will you be able to make without any leftover?

Answer:

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

Hence the required value is -27/4

Answer:

X=2, please mark me brainliest

Step-by-step explanation:

−5(4x−2)=−2(3+6x)

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)

−20x+10=−6+−12x

−20x+10=−12x−6

Step 2: Add 12x to both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Step 3: Subtract 10 from both sides.

−8x+10−10=−6−10

−8x=−16

Step 4: Divide both sides by -8.

−8x

−8

=

−16

−8

x=2

Answer:

x=5/16

Step-by-step explanation:

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

4x(−4)=−2−(−3)−6

Step 1: Simplify both sides of the equation.

4x(−4)=−2−(−3)−6

−16x=−2+3+−6

−16x=(−2+3+−6)(Combine Like Terms)

−16x=−5

−16x=−5

Step 2: Divide both sides by -16.

−16x

−16

=−5/−16

x=5/16

can I be the brainiest please!!

Answer:

972

Step-by-step explanation:

[tex] {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972[/tex]

Answer:

m = 18

Step-by-step explanation:

Step 1: Write out equation

-1/2m = -9

Step 2: Multiply both sides by -2

m = 18

Answer:

whats the question

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The equation, of a st. line that passes through point (5,9) is,

[tex](y - y1) = m1(y - y1)[/tex]

Put the values,

[tex](y - 9) = m1(x - 5)[/tex]

It is 1st equation.

Now, another equation is,

y = 3x-1.........(ii)

Comparing the equation with y = mx+c.

Slope (m2)= 3

As per the parallel lines,

m1=m2=3

Putting,

the value of m1 in equation(i)

(y-9)= 3(x-5)

y-9= 3x - 15

y = 3x - 6.

So, Krista equation is correct.

Hope it helps...

Answer:

7 + 2s = 15

4 shirts

Step-by-step explanation:

Let's say w denotes sweaters and s denotes shirts.

Since there are 7 more sweaters than shirts:

w = 7 + s

There are a total of 15 sweaters and shirts in all, so:

w + s = 15

Substitute 7 + s in for w in the second equation:

w + s = 15

7 + s + s = 15

7 + 2s = 15

Solving for s:

7 + 2s = 15

2s = 15 - 7 = 8

s = 8/2 = 4 shirts

Thus, the equation is 7 + 2s = 15, and there are 4 shirts.

~ an aesthetics lover

Answer:

6.7082039325......tbc

Answer:

22cm

Step-by-step explanation:

Circumference of a circle = 2πr

π = 22/7

r = 3.5

Circumference of a circle = 2 × (22/7) × 3.5

Circumference of a circle = 22cm.

Answer:Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms. Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms

Step-by-step explanation:

Answer:

200 minutes I am getting poi tea yayyyy

Answer:

$209.50

Step-by-step explanation:

First, find how much she made selling the popcorn:

263(1.5)

= 394.50

Then, find how much she spent on supplies and the machine:

110 + 75

= 185

Subtract the expenses from the profit:

394.50 - 185

= $209.50

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = [tex]14\frac{5}{12} = \frac{173}{12}[/tex]

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = [tex]17\frac{5}{12} = \frac{209}{12}[/tex]

Now Let us find the difference between the lengths:

[tex]\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3[/tex]

Therefore the difference in the lengths of the two alligators = 3

Answer:

264.89cm^2

Step-by-step explanation:

CSA of cylinder=πrl

= 3.1 × 7 ×√149

= 264.89cm^2

Answer:

4 books

Step-by-step explanation:

We are told that: Hugh bought some magazines that cost 3.95 each

Hugh bought 3 magazines.

Hence, total cost of magazines = 3 magazines × 3.95

= 11.85.

Total cost of magazines = 11.85

From the question, we know that, the total amount Hugh spent = 47.65

Hence, The total cost for books =

Total amount spent - Total cost of magazines

= 47.65 - 11.85

= 35.80

Therefore, the total cost of books = 35.80

We are told in the question that the cost of books is 8.95 each or 8.95 per book.

Hence, the number of books that Hugh bought is calculated as :

35.80/8.95

= 4 books

Therefore, Hugh bought 4 books

Answer:

{t| 0 ≤ t ≤ 3}

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

It right on edge 2020

Answer:

9

Step-by-step explanation:

The reason why it is 9 is because if you look to the bigger triangle, you can see that 15 is 3/4 the size of 20, so once you find what number is 3/4 of 12, you have the answer, 9! Hope this helps!

Answer:

AC = 7.5 cm

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BC}{DE}[/tex] , substitute values

[tex]\frac{AC}{3.5}[/tex] = [tex]\frac{7+8}{7}[/tex] , that is

[tex]\frac{AC}{3.5}[/tex] = [tex]\frac{15}{7}[/tex] ( cross- multiply )

7AC = 52.5 ( divide both sides by 7 )

AC = 7.5 cm

Answer:

g=14

Step-by-step explanation:

do 17-3, the answer is 14, meaning 14=g

Answer:

g = 14

Step-by-step explanation:

g+3 = 17

Subtract 3 from each side

g+3-3 = 17-3

g = 14

Answer:

6(4+x)

Step-by-step explanation:

Answer:

6(x+4)

Step-by-step explanation:

We want to write an algebraic expression for "six times the sum of four and a number"

Let's break this down.

The sum of four and a number:

The words "sum" indicates addition. We can call " a number" x, since it is unknown.

So, the sum of four and a number is: (x+4).

Six times:

The word "times indicates multiplication. We are multiplying six and the sum of four and a number.

So, we have: 6(x+4)

The algebra expression for "six times the sum of four and a number" is 6(x+4)

Answer:

x = -3/8

Step-by-step explanation:

4(3 - 2x) = 15

Distribute

12 -8x = 15

Subtract 12 from each side

12-8x-12 =15-12

-8x =3

Divide by -8

-8x/-8 = 3/-8

x = -3/8

The correct answer is: -3/8

Answer:

The answer to the question is 2(l+w).

Answer:

3

Step-by-step explanation:

18/6 is 3

Answer:

Step-by-step explanation:

7.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-8,\:-11\right),\:\left(x_2,\:y_2\right)=\left(17,\:4\right)\\\\m=\frac{4-\left(-11\right)}{17-\left(-8\right)}\\\\m = \frac{4+11}{17+8}= \frac{15}{25} \\\mathrm{Refine}\\\\m=\frac{3}{5}[/tex]

8.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(10,\:-15\right),\:\left(x_2,\:y_2\right)=\left(13,\:-17\right)\\\\m=\frac{-17-\left(-15\right)}{13-10}\\\\m = \frac{-17+15}{13-10}\\ \\m = \frac{-2}{3}\\ \\Simplify\\m=-\frac{2}{3}[/tex]

9.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(5,\:-7\right)\\\\m=\frac{-7-\left(-7\right)}{5-\left(-6\right)}\\\\m = \frac{-7+7}{5+6}\\ \\m = \frac{0}{11}\\ \\Simplify\\m=0[/tex]

10.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-4,\:-3\right),\:\left(x_2,\:y_2\right)=\left(2,\:-9\right)\\\\m=\frac{-9-\left(-3\right)}{2-\left(-4\right)}\\\\m = \frac{-9+3}{2+4}\\ \\m = \frac{-6}{6} \\\\Simplify\\m =-1[/tex]

11.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty \\\\m = \infty[/tex]

12.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-5,\:3\right),\:\left(x_2,\:y_2\right)=\left(19,\:-6\right)\\\\m=\frac{-6-3}{19-\left(-5\right)}\\\\m = \frac{-6-3}{19+5}\\ \\m = \frac{-9}{24}\\ \\Simplify\\m=-\frac{3}{8}[/tex]

13.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-7,\:-12\right),\:\left(x_2,\:y_2\right)=\left(1,\:-16\right)\\\\m=\frac{-16-\left(-12\right)}{1-\left(-7\right)}\\\\m = \frac{-16+12}{1+7} \\\\m = \frac{-4}{8} \\\\Simplify\\m=-\frac{1}{2}[/tex]

14.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-18,\:0\right),\:\left(x_2,\:y_2\right)=\left(-13,\:1\right)\\\\m=\frac{1-0}{-13-\left(-18\right)}\\\\m = \frac{1-0}{-13+18}\\ \\m = \frac{1}{5} \\[/tex]

15.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-4\right)\\\\m=\frac{-4-\left(-11\right)}{-2-1}\\\\m = \frac{-4+11}{-2-1}\\ \\m = \frac{7}{-3} \\\\Simplify\\m=-\frac{7}{3}[/tex]

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

sin (A) - sin (B) = 2 cos (A+B)/2 · sin (A-B)/2

sin (A) + sin (B) = 2 sin (A+B)/2 · cos (A-B)/2

Given:  sin Ф = k sin β      -->   (sin Ф)/(sin β) = k

Proof RHS → LHS

[tex]\text{RHS:}\qquad \qquad \qquad \dfrac{k-1}{k+1}\tan\dfrac{\theta+\beta}{2}[/tex]

[tex]\text{Given:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-1}{\frac{\sin \theta}{\sin \beta}+1}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-\frac{\sin \beta}{\sin \beta}}{\frac{\sin \theta}{\sin \beta}+\frac{\sin \beta}{\sin \beta}}}\cdot \tan\dfrac{\theta +\beta}{2}\\\\\\.\qquad \qquad \qquad = \dfrac{\sin \theta -\sin \beta}{\sin \theta +\sin \beta}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Product to Sum:}\qquad \quad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Expand:}\qquad \qquad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \dfrac{\sin\frac{\theta +\beta}{2}}{\cos \frac{\theta +\beta}{2}}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \quad \dfrac{\sin \frac{\theta +\beta}{2}}{\cos \frac{\theta+ \beta}{2}}\\\\\\.\qquad \qquad \qquad \quad =\tan\dfrac{\theta +\beta}{2}[/tex]

 [tex]\text{LHS = RHS:}\quad \tan\dfrac{\theta +\beta}{2}=\tan\dfrac{\theta +\beta}{2}\quad \checkmark[/tex]

Answer:

-4x - 24

Step-by-step explanation:

distribute the -4 by multiplying it by what is in the parenthisis. Since it is negative that makes a -4x and a -24

Hey there!

[tex]-4(x+6)[/tex]

Let's separate -4 and x+6 with parenthesis.

[tex](-4)(x+6)[/tex]

Now let's separate all with parenthesis.

[tex](-4)(x)+(-4)(6)=-4x-24\\-4x-24(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

1 because two strokes minus 1 for being one stroke above par is 1.