Rosie and Dan share some sweets. Dan gets 1/4 of the sweets. Write down the ratio of the number of sweets Rosie gets to the number of sweets Dan gets

Answer:

c) 44°

Step-by-step explanation:

the angles labeled '8x-4' and '6x+8' are equal because they are corresponding; we can solve for 'x' by setting them equal to each other

8x - 4 = 6x + 8

2x - 4 = 8

2x = 12

x = 6

substitute 6 for 'x' in '6x+8'

6(6) + 8 = 36 + 8 =  44°

Answer: 3600

Step-by-step explanation:

cdjfbef

the answer is 3600

Step-by-step explanation:

6×5×2×3×4×5

Answer:

Team A has 16 points

Team B has 4 points

Step-by-step explanation:

let A = 12 + B

also, let A = 4B

therefore, since A = A we can say that 12 + B = 4B

12 + B = 4B

12 = 3B

B = 4

A = 12 + 4 or 16

Answer:

C

Step-by-step explanation:

They all share a common variable so you can add them all together to get the simpliest form.

Answer:

Yes. AB = CD, and AC = BD.

Step-by-step explanation:

edmentum

Answer:

Yes. AB = CD, and AC = BD.

Step-by-step explanation:

Answer:

It is the arithmetic sequence and the common ratio is 10

Step-by-step explanation:

It is arithmetic sequence

 This is because

-Geometric is multiplication

-arithmetic is addition  

----

Now the common ratio/difference is 10 as it adds 10 each time

4, 4+10 (14), 14+10 (24)

Answer:

The value would be thousandths.

Step-by-step explanation:

Answer:

f(x4)=x8+7x4

Step-by-step explanation:

not a 100% sure tho

Answer:

9 pounds of chocolate and 6 pounds of sugar candies

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Answer:

9 pounds of chocolate candies, 6 pounds of sugar candies.

Step-by-step explanation:

We can set the amount of chocolate candies to x and the amount of sugar candies to 15 - x.

Our equation is:

7x + 2(15 - x) = 5 * 15.

Simplified:

7x + 30 - 2x = 75.

x = 9.

9 pounds of chocolate candies.

15 - 9 = 6.

6 pounds of sugar candies.

Answer:

the tip was $8.11

Step-by-step explanation:

15% of 54.05 is 8.11 and if you want to know the amount before the tip was added it is 45.94 without tax

Hope this helped!!!

Answer:

-1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3a/b - b/a

a = -1, b = 4

Step 2: Evaluate

Answer:

60

Step-by-step explanation:

Equilateral triangles always have 60, 60, 60 degrees

180-60=120

120/2=60

x=60

Answer:6/10

Step-by-step explanation:

The value of sin(A) is  0.6 or about 36.87°.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

we are given that;

The two triangles

Now,

To find the value of sin(A), you need to use the sine function formula, which is:

sin(A) = opposite/hypotenuse

The opposite side of angle A is YN and the hypotenuse is AN. You can use the Pythagorean theorem to find the length of AN:

AN 2 = AY 2 + YN 2 AN 2 = 8 2 + 6 2 AN 2 = 64 + 36 AN 2 = 100 AN = √100 AN = 10

Therefore, sin(A) = YN/AN = 6/10 = 0.6

You can also use a calculator to find the angle A using the inverse sine function:

sin −1 (0.6) = A A ≈ 36.87°

Therefore, by trigonometric ratios the answer will be 0.6 or about 36.87°.

Learn more about trigonometric;

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Answer:

$11.25

Step-by-step explanation:

12/15=9/x

x=45/4

x=$11.25

Answer: $11.25

Step-by-step explanation:

Answer:

1500m is your answer

Answer:

1500m

Step-by-step explanation:

The number of months is m.

In m months, you earn $1500 * m.

The expression is

1500m

2

Step-by-step explanation:

common ratio(r)=-3/4

a2÷a1=r

32/9÷-128/27=-3/4

therefore using the common ratio to find the fourth term is just by multiplying the third term -8/3 by the common ratio -3/4

which equals = 2

The next term of the geometric sequence[tex]\dfrac{-128}{27}[/tex], [tex]\dfrac{32}{9}[/tex], [tex]\dfrac{-8}{3}[/tex] is 2.

A geometric series is the sum of an infinite amount of terms with a fixed ratio between them.

Given series:

[tex]\dfrac{-128}{27} , \dfrac{32}{9}, \dfrac{-8}{3}[/tex]

The common ratio is calculated by dividing the second term by the first term.

Common ratio (r) =[tex]\dfrac{(2nd \ term)}{(1st \ term)}[/tex]

First term = [tex]\dfrac{-128}{27}[/tex]

Second term = [tex]\dfrac{32}{9}[/tex]

To divide by a fraction, we can multiply by its reciprocal:

Common ratio (r) =[tex]\dfrac{32}{9} \times \dfrac{-27}{128}[/tex]

                        r    = [tex]\dfrac{-3}{4}[/tex]

Thus, the common ratio is[tex]\dfrac{-3}{4}[/tex].

So, we can find the next term:

The 4th term can be calculated by multiplying the 3rd term by the common ratio.

4th term  = [tex]\dfrac{-8}{3} \times \dfrac{-3}{4}[/tex]

                 = 2

So, the next term in the geometric sequence is 2.

Learn more about geometric sequence here:

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Answer:

Answer is A

Step-by-step explanation:

Answer:

A im pretty sure if im wrong sorry

Step-by-step explanation:

Answer:

11x + 12

Step-by-step explanation:

9x + 3x = 11x

8 + 4 = 12

Answer:

24x²

Step-by-step explanation:

first add 9 plus 8 plus 3 plus 4 to get 24 then since there are 2 x's that makes in 24x²

Answer:

Booth workers required = 4

Step-by-step explanation:

As given ,

Arrival rate = λ = 60 customers per hour

Time taken = 3.75 minutes

∴ we get

Average service rate = μ = [tex]\frac{60}{3.75}[/tex] = 16 customers per hour

Now,

Minimum numbers of booth workers required = [tex]\frac{60}{16}[/tex] = 3.75

As workers can not be in fraction

∴ Minimum number of booth workers required = 4

Answer: 360

Step-by-step explanation:

Given

the side length of the cube [tex]a=\frac{1}{4}\ inch[/tex]

The dimension of the box is [tex]1\times3 \frac{3}{4}\times 1 \frac{1}{2}=1\times\frac{15}{4}\times\frac{3}{2}\ inch^3[/tex]

the volume of each cube [tex]=a^3=(\frac{1}{4})^3[/tex]

No. of cubes that can be fit into the box [tex]=\dfrac{\text{vol. of box}}{\text{vol. of each cube}}[/tex]

[tex]\Rightarrow \dfrac{1\times \frac{15}{4}\times\frac{3}{2}}{\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}}=360[/tex]

Therefore 360 cubes can be fit into the box

Answer:

The answer would be 21

Answer:

Probability of Four of a Kind

The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.

Probability of Two Pair

On average, players get two pair about one time in every 21 deals.

Step-by-step explanation:

Probability of Four of a Kind

Let's execute the analytical plan described above to find the probability of four of a kind.

First, we count the number of five-card hands that can be dealt from a standard deck of 52 cards. This is a combination problem. The number of combinations is n! / r!(n - r)!. We have 52 cards in the deck so n = 52. And we want to arrange them in unordered groups of 5, so r = 5. Thus, the number of combinations is:

52C5 = 52! / 5!(52 - 5)! = 52! / 5!47! = 2,598,960

Hence, there are 2,598,960 distinct poker hands.

We count the number of ways that five cards can be dealt to produce four of a kind. It requires three independent choices to produce four of a kind:

Choose the rank of the card that appears four times in the hand. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For four of a kind, we choose 1 rank from a set of 13 ranks. The number of ways to do this is 13C1.

Choose one rank for the fifth card. There are 12 remaining ranks, from which we choose one. The number of ways to do this is 12C1.

Choose a suit for the fifth card. There are four suits, from which we choose one. The number of ways to do this is 4C1.

The number of ways to produce four of a kind (Num4) is equal to the product of the number of ways to make each independent choice. Therefore,

Num4 = 13C1 * 12C1 * 4C1 = 13 * 12 * 4 = 624

Conclusion: There are 624 different ways to deal a poker hand that can be classified as four of a kind.

Finally, we compute the probability. There are 2,598,960 unique poker hands. Of those, 624 are four of a kind. Therefore, the probability of being dealt four of a kind (P4) is:

P4 = 624 / 2,598,960 = 0.0002400960384

The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.

Probability of Two Pair

To find the probability for two pair, we execute the same analytical plan that we've used to compute the other probabilities.

There are 2,598,960 distinct poker hands.

Next, count the number of ways that five cards can be dealt to produce two pair. It requires five independent choices to produce two pair:

Choose the rank for cards of matching rank. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For two pair, we choose 2 ranks from a set of 13 ranks. The number of ways to do this is 13C2.

Choose the rank of the remaining non-matching card. There are 11 remaining ranks, from which we choose one. The number of ways to do this is 11C1.

Choose suits for the first two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.

Choose suits for the second two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.

Choose a suit for the non-matching card. There are four suits, from which we choose one. The number of ways to do this is 4C1.

The number of ways to produce two pair (Numtp) is equal to the product of the number of ways to make each independent choice. Therefore,

Numtp = 13C2 * 11C1 * 4C2 * 4C2 * 4C1

Numtp = 78 * 11 * 6 * 6 * 4 = 123,552

Finally, compute the probability. There are 2,598,960 unique poker hands. Of those, 123,552 are two pair. Therefore, the probability of being dealt two pair (Ptp) is:

Ptp = 123,552 / 2,598,960 = 0.04753901561

On average, players get two pair about one time in every 21 deals.

Answer:

1.4 is a rational number because it has a terminal decimals. it is the same as 14/10

Answer:

1.4 is a rational number because it can be written as the ratio of 4 to 10.

Answer:

the solution to thay is when you poop it comes straight out ur butt but when u pee it comes straight out yk what use that example and you'll find the answer ad soon as possible

Answer:

3×87=3(80+7)=3(80)+3(7)

14(75)=14(70+5)=14(70)+14(5)

above statement are true

Answer:

So would that be 5(11) which is 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

if p=11 then the expression is 5(11) which is equal to 55.