Two sisters, Crystal and Alexa, are going to a strange birthday party. Instead of birthday cake,
pairs of party guests are each served a large chewy fruit worm to share according to their ages.
Since the sisters are not the same age, they do not share their fruit worm equally.
Crystal is 12 years old and Alexa is 6 years old. Their chewy fruit worm has 18 segments.
According to their ages, Crystal gets 12 segments and Alexa gets 6 segments. The ratio of the
girls' shares of the worm, 12 to 6, is equivalent to the ratio of their ages, 12 to 6.
• According to the rule, how would the girls share a 9-segment chewy fruit worm?
Since Crystal's age is two times Alexa's age, Crystal gets twice as many segments as Alexa.
The ratio of Crystal's segments to Alexa's segments is 12 to 6 or 2 to 1.
. The ratio 2 to 1 is a unit rate. What do the numbers 2 and 1 mean for the sisters?
12 to 6
In this Problem you will explore situations that involve fractions and ratios.

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

SOH-CAH-TOA

sin Q     =    Opposite     =    26

                 hypotenuse          x

sin 54   =     26

                     x

x sin 54 = 26

x sin 54      =         26    

sin 54                sin 54

x =        26      =    32.1378  ≈  32.1 feet

          sin 54

Answer:

0.65:1

Step-by-step explanation:

Answer: x = 13

Step-by-step explanation:

To find the value of x, you have to find ∠QRP

∠QRP + ∠QRS = 180

∠QRP + 95 = 180

Subtract 95 from both sides

∠QRP = 85

∠RQP + ∠QPR + ∠QRP = 180   Definition of triangle

(4x + 3) + (3x + 1) + 85 = 180

Subtract 85 from both sides

(4x + 3) + (3x + 1) = 95

7x + 4 = 95

Subtract 4 from both sides

7x = 91

Divide 7 from both sides

x = 13

Answer:

y = 40

Step-by-step explanation:

Given

[tex]\frac{y}{8}[/tex] = 5 ( multiply both sides by 8 to clear the fraction )

y = 8 × 5 = 40

Answer:

Dilate triangle ABC with scale factor 1/3, then reflect over the line segment CD.

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

Explanation:

We're given that BC = 18 and EC = 6. In order to map ABC onto DEC, we need to have the triangles the same size. In other words, the triangles must be congruent and in the same location. One triangle will be on top of the other.

To make triangle ABC congruent to triangle DEC, we need to have BC = EC. Currently BC is 3 times longer than EC. So we need to dilate with a scale factor 1/3

Note how (1/3)*18 = 6. This scale factor will reduce segment BC so it goes from 18 units long to 6 units long. The same applies to the other segments of triangle ABC.

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

After the dilation, triangle ABC is the same size and shape as triangle DEC. However, the two triangles are not in the same location. We would need point B to be at the same location of point E for the triangles to match up perfectly (point A and point C are already in their proper locations).

To move point B to E, we need to apply a reflection over the horizontal line CD. This will not move points A and C. Points on the line of reflection stay where they are.

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

So to summarize, we apply a dilation with scale factor 1/3 to triangle ABC. This gets triangle ABC to the right size. Then we reflect over the line segment CD so that point B moves to point E's location.

Answer:

Yes

Step-by-step explanation:

A function would be f(x), a output for each x input.

The slope intercept form is y - mx + b! *keep this in mind*

If you graph this as well, it would be easier to see if its a function too. If the line crosses through it once, it is indeed a function. If it doesn't, it isn't

Hope this helps

Answer:

Yes

Step-by-step explanation:

The order is switched from boys to girls(5 to 2)to girls to boys (2 to 5).

Answer:

x=r-b/a

Step-by-step explanation:

ax=r-b

x=r-b/a

Answer:

x = r - b/a

Step-by-step explanation:

ax + b = r (Given)

ax = r - b (Subtract b on both sides)

x = r - b/a (Divide a on both sides)

Answer: 5x4=20

And 5+4=9

Step-by-step explanation:

The required two numbers are 4 and 5.

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We need to find two number such that if multiply then we get 20 and add to get 9.

Let 'a' and 'b' be two numbers.

According to given conditions,

a × b = 20                .........................(i)

a + b =9                    .......................(ii)

So, from given conditions we have two equations (i) and (ii).

From equation (ii) we have,

a = 9 - b                    ...............(iii)

Substitute above value of 'a' in equation (i),

⇒ (9 - b) × b = 20

⇒ 9b - b² = 20

⇒ b² - 9b + 20 = 0

Now we solve this quadratic equation to find b.

⇒ b² - 9b + 20 = 0

⇒ b² - 5b - 4b + 20 = 0

⇒ (b - 5) (b - 4) = 0

⇒ b = 5 or   b = 4

Find the value of 'a' from equation (iii)

When b = 5

⇒ a = 9 - 5

⇒ a = 4

When b = 4

⇒ a = 9 - 4

⇒ a = 5

Therefore, the required two numbers are 4 and 5.

Learn more about equation here:

https://brainly.com/question/13170101

#SPJ2

Answer:

In my opinion this is the whole w

Step-by-step explanation:

Answer:

the top option

Step-by-step explanation:

solve 4x - 2 = 10 and you get

4x = 12

x = 3

this means there is only one solution and only 3 should be filled in

Answer:

F=16

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

11/20 = 0.55

0.55 = 55%

Answer:

Step-by-step explanation:

K is located at -25

L is located at -15

just move 5 units away from J on both sides

hope this helps <3

Answer:

x = 5

Step-by-step explanation:

Divide 25 by 5, you get 5, so, x = 5.

Answer:

A

A

Step-by-step explanation:

8) because of the rules of angles we know that all angles found on a line are equal to 180 degrees, and all angles opposite one another are equal. because of this A is not possible. 90 and 40 do not add up to 180 degrees, and are not equivalent to each other.

9) using the same rules as above, we know that the two angles have to add up to 180 degrees (they can't be equal this time). A is not possible.

Answer:

147.03 cm

Step-by-step explanation:

Answer:

147.03

Step-by-step explanation:

WxL=147.03

I think this is right ❤️

Answer: $336.40

Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.

Answer:

$220 dollars

Step-by-step explanation:

a = p * w (the percentage formula)

subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)

286 = 1.30 * w

solve.

w = 220

Answer:

x=1 y=10

Step-by-step explanation:

5x+y=15

2x+y=12

y=12-2x

5x+12-2x=15

3x=3

x=1  

5+y=15

y=10

Answer:

a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour

b.) 15 or 15/1

c.) for each hour Donny spends working, the amount of money he has go up by 15

d.) (0,40)

e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings

Answer:

.60 I think

I hope you get it right

Answer:

[tex]length = \sqrt{ {(x _{1} - x_{2} )}^{2} + {(y _{1} - y_{2} })^{2} } \\ = \sqrt{ {(5 - 1)}^{2} + {(8 - 7)}^{2} } \\ = \sqrt{16 + 1 } \\ = \sqrt{17} \\ length = 4.1 \: units[/tex]

Answer 6

Step-by-step explanation:

I found the answer on calculator