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
LenKa [72]
3 years ago
15

Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for bro

wnies calls for 2 eggs per batch. If Jessica uses 18 eggs and makes 11 batches, how many batches of cookies and brownies did she make?
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

Number of batches of cookies = 4

Number of batches of brownies = 7

Step-by-step explanation:

Let the number of batches of cookies she made = x

And the number of batches of brownies = y

Total number of batches she made = 11

So the equation representing batches will be,

x + y = 11 ---------(1)

Her recipe for cookies calls for eggs = 1 per batch

So eggs required for x batches of cookies = 1 × x = x

Similarly, her recipe for brownies calls for eggs = 2 per batch

So, eggs required for y batches of brownies = 2y

Total number of eggs required = 18

Therefore, equation will be,

x + 2y = 18 ---------- (2)

Equation (2) minus equation (1)

(x + 2y) - (x + y) = 18 - 11

y = 7

From equation (1),

x + 7 = 11

x = 4

Therefore, number of batches of cookies and brownies she made were 4 and 7.

You might be interested in
everyday a person uses about 90 liters of water at home 6 gallons is about 23 liters about how many liters of water does a perso
Trava [24]

Answer:

90 liters

Step-by-step explanation:

It's given in the question!

3 0
2 years ago
What is the gcf for 14 and 55?
pentagon [3]
The greatest common factor would be 1 because you need to factor both 14 and 55 so factor 14 and you get 2 and 7 factor 55 you get 5 and 11 the the GCF has to be 1
I hope this is helpful
4 0
3 years ago
Matrix multiplication was used to encode a message using the given encoding matrix: [i 47 A=1 |-1 -3] The original message was c
nadya68 [22]

Answer:

A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] message SHOW_ME_THE_MONEY_  

Step-by-step explanation:

The matrix

A=\left[\begin{array}{cc}1&4\\-1&-3\end{array}\right]\rightarrow |A|=(1 \times -3)-(-1\times 4)=1\\\rightarrow A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] \\

We can check that in fact A*A^⁻1=I_2 the identity matrix of size 2 x 2.

Now the message was divided in 1 x 2 matrices, then we have that the sequence given is the result of multiplying m by A, so to get m again we multiply now by A^⁻1. and we get the next table

Encoded message    Decoded message    message in letters by association

11 52        19 8    S H

-8 -9         15 23  O W

-13 -39        0 13   _ M

5 20         5 0   E _

12 56        20 8    T H

5 20         5 0    E _

-2 7           13 15  M O

9 41         14 5   N E

25 100       25 0    Y _

Then the message decoded is SHOW_ME_THE_MONEY_                                

3 0
3 years ago
There are 12 pizzas on the table. Each pizza is cut into pieces. Each piece is
IRINA_888 [86]

Answer:

tgere would be 72 slices.

Step-by-step explanation:

12/1÷1/6

12/1×6/1

72/1

8 0
3 years ago
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

tanx=\frac{h}{82+12(12)}=\frac{h}{226}

From these two we get

h = height of street light =\frac{226(64)}{82} =176.39

6 0
3 years ago
Other questions:
  • Solve?? 3x + 10 > 4
    13·2 answers
  • Let f be the function that determines the area of a circle (in square cm) given the radius of the circle in cm, r. That is, f(r)
    5·1 answer
  • Is 0 not an element of an empty set?
    10·1 answer
  • Dan bought 4 kilograms of dog food.
    15·1 answer
  • What is the slope of the line that goes through (-5,-5) and (5,-7)?
    15·1 answer
  • If the surface area of a cylinder is 288π cm2 with radius of 8 cm, what is the volume of the cylinder?​
    9·1 answer
  • The distance traveled by an object can be modeled by the equation d = ut + 0.5at2 where d = distance, u = initial velocity, t =
    6·1 answer
  • Simplify the expression. Write the answer using scientific notation. (5 x 10^7) (6 x 10^4)
    10·1 answer
  • What is the quotient of 3 and y? Is it 3 over y or y over 3?
    10·1 answer
  • Solve for x round to the nearest tenth.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!