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
VARVARA [1.3K]
3 years ago
9

A bakery sells mocha cupcakes and chocolate cupcakes. It sold 220 cupcakes in a day, and 45% of them were chocolate. How many of

the cupcakes sold that day were mocha?
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

121 mocha cupcakes

Step-by-step explanation:

\frac{45}{100}  \times 220 = 99 \\ 99of \: the \: cupcakes \: were \: chocolate \\ mocha \: cupcakes = 220 - 99 \\  = 121

You might be interested in
If y=10 and d=126, then what is the value of z?
juin [17]

Answer:26

Step-by-step explanation:

85*2=170

170+64+x=360

234+x=360

x=126

3 0
3 years ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
The cooper family owns a luxury sedan and a compact car. The fuel tank capacity of the luxury sedan 9s 22.45 gallons and that of
Viefleur [7K]

Answer:

13.75\ gal

Step-by-step explanation:

we know that

To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan

so

22.45-8.7=13.75\ gal

4 0
3 years ago
10. Solve the following equations<br><br> a) Cos Ɵ = -1/2<br><br><br><br><br> b) -18 Sin Ɵ + 9 = 0
Olenka [21]

Answer:

what is cos and sin ?

Step-by-step explanation:

4 0
2 years ago
What is the x-intercept for the equation -2x + 5y = -10
Zielflug [23.3K]

Answer:

The x-intercept is at the point (5,0).

Step-by-step explanation:

-2x + 5y = -10

At the x intercept y = 0 so we substitute y = 0 into the given equation:

-2x + 5(0) = -10

-2x = -10

x = 5.



5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me if you can!!
    10·1 answer
  • Choose the fragment which best completes the following sentence. Your credit history will help government agencies determine if
    11·1 answer
  • Write the fraction 72/81<br> in simplest form.
    7·2 answers
  • Which equation has a solution of -2?
    8·1 answer
  • Drag the tiles to the boxes to form correct pairs.
    5·2 answers
  • 1. A random sample of 25 of the 400 members of the Bigtime Theater
    15·1 answer
  • How many strips of ribbon, each three and a half centimeters long, can I cut from a roll of ribbon that is fifty two and a half
    10·1 answer
  • The bill for Jacoby's breakfast at a Nashville restaurant is $9. He wants to leave a 20% tip. How much should the tip be?
    7·2 answers
  • What is the positive value for this number?
    7·2 answers
  • Can you pls help me with this question?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!