1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snezhnost [94]
4 years ago
6

Khianna wants to make a batch of her Grandma chocolate chip cookies from a friend. The recipe is shown on the recipe card below

( in the photo)
She realizes she only has 1 1/8 cup of brown sugar but plenty of all of he other ingredients. Complete the following to help him determine how she can still make cookies with the recipe
1. What fractional part of the brown sugar needed does she have

3. Fill out the new recipe with the amount of each ingredient ___ cups butter
___ cups flour ___ eggs __tsp baking soda __tsp vanilla ___ cups sugar __1 1/8
___ ounces chocolate chips

How many cookies will the scaled down recipe make? Show your work.

Mathematics
1 answer:
romanna [79]4 years ago
8 0
Poor <span>Khianna.  Let's help her out.

For the original recipe she needs </span>1 \frac 1 2 = \frac 3 2 cups of brown sugar but only has 1 \frac 1 8 = \frac 9 8 .  So the fraction of the brown sugar she has is

\dfrac{ \frac{9}{8} }{\frac 3 2} = \frac 9 8 \times \frac 2 3 = \frac 3 4

She has to scale everything by a factor of  \frac 3 4

I won't multiply everything by 3/4 for you.  2 cups butter becomes 1 and a half cups butter, 1 tsp vanilla becomes 3/4 tsp, etc.


You might be interested in
Cosine law help! Really appreciate your guys hslp
Alexandra [31]
Answer: Either 25.0 or 25 depending on how your teacher wants you to format the answer

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

Explanation:

To start off, it probably helps to translate what the question wants. 
It states "For the pilot of airplane B, calculate the angle between the lines of sight to the airplane at C and Jenny's airplane [at point A]". 
This fairly long, and possibly complex, sentence boils down to "find angle B"

To find angle B, we need to find the length of side 'a' first

Let,
a = x
b = 4.2
c = 5.7

Note how the lowercase letters (a,b,c) are opposite their uppercase counterparts (A,B,C). This is often the conventional way to label triangles. The lowercase letters are usually for the side lengths while the upper case is for the angles.

We have angle A = 120 degrees

Plug these values into the law of cosines formula below. Then solve for x
a^2 = b^2 + c^2 - 2*b*c*cos(A)
x^2 = 4.2^2 + 5.7^2 - 2*4.2*5.7*cos(120)
x^2 = 17.64 + 32.49 - 47.88*cos(120)
x^2 = 17.64 + 32.49 - 47.88*(-0.5)
x^2 = 17.64 + 32.49 + 23.94
x^2 = 74.07
x = sqrt(74.07)
x = 8.60639297266863
x = 8.6064

So side 'a' is roughly 8.6064 kilometers when we round to four decimal places

Now we'll use this to find angle B
Use the law of cosines again, but this time, the formula is slightly altered so that angle B is the focus instead of angle A

Plug in the side lengths (a,b,c). Solve for angle B
b^2 = a^2 + c^2 - 2*a*c*cos(B)
(4.2)^2 = (8.6064)^2 + (5.7)^2 - 2*(8.6064)*(5.7)*cos(B)
17.64 = 74.07012096 + 32.49 - 98.11296*cos(B)
17.64 = 106.56012096 - 98.11296*cos(B)
17.64 - 106.56012096 = 106.56012096 - 98.11296*cos(B)-106.56012096
-88.92012096  = -98.11296*cos(B)
(-88.92012096)/(-98.11296)  = (-98.11296*cos(B))/(-98.11296)
0.906303519535034 = cos(B)
cos(B) = 0.906303519535034
arccos(cos(B)) = arccos(0.906303519535034)
B = 25.0005785532867

It's a bit messier this time around, but we get the approximate angle
B = 25.0005785532867
which rounds to
B = 25.0 degrees
when we round to the nearest tenth. We can write "25.0" as simply "25"

5 0
3 years ago
*PLEASE ANSWER, DIFFICULT QUESTION, ASAP* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each fl
murzikaleks [220]
I think it’s 0.2 I am not sure if it’s right
5 0
3 years ago
HEY YOU!! I️ NEED YOUR HELP!!! #8 5/8x+1/16x=5:16+x what’s the solution set? Please?
ahrayia [7]

you mean : 5/8x + 1/16x = 5/16 +x

<=> 10/16x +1/16x = (5 +16x)/16

(16x # 0)

<=> 11/16x = x(5+16x)/(16x)

<=>11 = x(5+16x)

<=> 11 = 16x^2 + 5x

<=> x =-1 or x =11/16

6 0
3 years ago
Find the area when the circumference is 50.24 cm
nevsk [136]

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

7 0
2 years ago
1. Each of three friends—Lin, Jada, and Andre—had the goal of raising $40.
viva [34]
Jin raised 40$ since it was his goal and he reached it
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the slope of the line that passes through the points (3,5) and (8,7)?
    9·2 answers
  • Solve x: 3x-7 = 5x+13 <br> Solve x: 7-3x = 5x+13
    6·2 answers
  • Complete the pattern.
    7·1 answer
  • In a bowl of fruit there are 10 bananas, 6 apples and 4 pears.
    10·1 answer
  • The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:​
    10·1 answer
  • Triangle TVW is dilated according to the rule
    10·2 answers
  • I really need help with this sampling question and it would mean alot if someone could answer it
    14·1 answer
  • Jake scored 17 out of 25 points on a math quiz. He then scored 16 out of 20 points on a spelling quiz. On which quiz did Jake sc
    15·1 answer
  • CAN SOMEONE PLEASE HELP ME NOW PLEASE HURRY
    14·1 answer
  • HELP PLEASE I DONT UNDERSTAND MATH
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!