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Ket [755]
3 years ago
13

A recipe says to use 3cups of flour to make 48 cookies. What is a constant of proportionality that related the number of cookies

made ,y, to the number of cups of flower used ,x?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

y=16 x=1

Step-by-step explanation:

For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.

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Rina8888 [55]
She done better at the 2nd test because she only got 4 wrong but on the first test she got 6 wrong.
7 0
3 years ago
Read 2 more answers
Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
valkas [14]

Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

7 0
3 years ago
Find the missing measure
SCORPION-xisa [38]

Answer:

93 degrees

Step-by-step explanation:

first, lets add 38+49 to see the sum

38+49=87

since the sum of all three angles in every triangle equals 180, we can subtract this sum from 180 to get the answer

180-87=93

so the missing angle would be 93

6 0
2 years ago
Read 2 more answers
5634 ÷ 18 and show work
katen-ka-za [31]

Answer:

313

Step-by-step explanation:

hello I hope this helps you

6 0
2 years ago
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A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate
salantis [7]

Answer:

  • Option C

Step-by-step explanation:

<u>The inequality as per question:</u>

  • 3c ≥ 240

<u>Its solution is:</u>

  • c ≥ 80

It means on the number line a closed circle is at 80 and shaded area is to the right

Correct choice is C

6 0
2 years ago
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