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Snezhnost [94]
3 years ago
11

Rina’s recipe uses 2 cups of sugar to make 2 ½ dozen cookies. Jonah’s recipe uses 2 ¼ cups of sugar to make 3 dozen cookies. Whi

ch recipe uses more sugar for a dozen cookies? Why?
Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

Let's calculate the "cups of sugar per dozen cookies" ratio:

2 cups

---------- = 0.8  (Rina)        

  2.5                                  

2.25 cups

------------- = 0.75 (Jonah)

     3

Rina uses more sugar for a dozen cookies.

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(4.161 x 10^2) + (4.56 x 10^3)
VladimirAG [237]
Convert to stand both expressions to standard form:
416.1 + 4,560

Add:
4,976.1
5 0
3 years ago
A dilation with a scale factor of 3. 5 and centered at the origin is applied to PQ¯¯¯¯¯ with endpoints P(2, 5) and Q(2, 1)
velikii [3]

Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).

Step-by-step explanation:  Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.

The end points of segment PQ are P(2, 5) and Q(2, 1).

Therefore, after dilation, the coordinates of the end points become

Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).

7 0
2 years ago
Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro
Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0
2 years ago
Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles w
Natasha_Volkova [10]

Answer:

19.209 miles from each other.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Using this we get:

{15}^{2}  +  {12}^{2}  =  {x}^{2}

225 + 144 = 369 =  {x}^{2}

\sqrt{369 }  = 19.209

6 0
3 years ago
Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...
Neko [114]

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

8 0
3 years ago
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