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Vsevolod [243]
3 years ago
5

Samantha's Recipe 3 1/2 parts cranapple juice 2 1/2 parts lemonade Caden's Recipe 4 1/4 parts cranapple juice 3 3/4 parts lemona

de For each recipe, write a ratio that compares the number of parts of lemonade to the total number of parts. Please help and thank you :D
Mathematics
2 answers:
Darina [25.2K]3 years ago
5 0

6.25 : 14

6.25 parts lemonade, 14 parts combined in both recipes

Caden: 3.75 : 8 for his recipe, 3.75 : 14 for all total ingredients

Samntha: 2.5 : 6 for her recipe, 2.5 : 14 for all total ingredients

galben [10]3 years ago
3 0

6.25 : 14 or 25:56

6.25 parts lemonade, 14 parts combined in both recipes

Caden: 3.75 : 8 for his recipe, 3.75 : 14 for all total ingredients

Samntha: 2.5 : 6 for her recipe, 2.5 : 14 for all total ingredients

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25 POINTS AVAILABLE
myrzilka [38]

Answer:

\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

1. We have the equation:

(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

7 0
3 years ago
A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.Jackson has a rectangular piece of cloth tha
Klio2033 [76]
No he's short 2 cm
 hope it helps

7 0
3 years ago
Show that (x-5) is a factor of x^3-3x^2-13x+15
mario62 [17]

Answer:

sorry not in that grade

Step-by-step explanation:

6 0
4 years ago
A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.
Dmitry_Shevchenko [17]

Answer:

  105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

  (x km)/(17.5 cm) = (15 km)/(2.5 cm)

  x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

5 0
3 years ago
What is the approximate area of the figure that is shaded in blue below?
Aleks [24]

Answer:

A: 48in2

Step-by-step explanation:

Area of a rectangle = Length x Width

The complete figure is rectangular in shape with:

Length = 11 in

Width = 5 in

Area = 11 x 5

Area = 55 in2

The pink part is triangular in shape with:

height = 4in

Base = 3.5 in

Area of a triangle = 0.5 x base x height

Area of the pink portion = 0.5 x 3.5 x 4

Area of the pink portion = 7 in2

Area of the blue portion = (total Area) - (Area of the pink portion)

Area of the blue portion = 55 in2 - 7 in2

Area of the blue portion = 48 in 2

Hope this help you!

8 0
3 years ago
Read 2 more answers
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