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
vodomira [7]
2 years ago
13

Honey's blueberry muffin recipe calls for 3 1/4 pounds of blueberries and 2 1/2 cups of muffin mix. How many cups of muffin mix

should Honey use if she plans to use 7 pounds of blueberries. Answer and explain briefly.
Mathematics
1 answer:
astra-53 [7]2 years ago
7 0

For this case we convert the mixed numbers to improper fractions:3 \frac {1} {4} = \frac {4 * 3 + 1} {4} = \frac {12 + 1} {4} = \frac {13} {4}\\2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {4 + 1} {2} = \frac {5} {2}

Now, we propose a rule of three:

\frac {13} {4}pounds of blueberries ------------->\frac {5} {2}cups of muffin mix

7 pounds of blueberries -----------------------------> x

Where the variable "x" represents the number of cups of muffin mix that Honey should use.

x = \frac {7 * \frac {5} {2}} {\frac {13} {4}}\\x = \frac {\frac {35} {2}} {\frac {13} {4}}\\x = \frac {35 * 4} {2 * 13}\\x = \frac {140} {26}\\x = \frac {70} {13}\\x = 5.38

So approximately Honey should use 5 \frac {5} {13} cups of muffin mix

Answer:

Approximately Honey should use 5 \frac {5} {13} cups of muffin mix

You might be interested in
A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w
Elanso [62]

Answer:

The regular size is more economical.

Step-by-step explanation:

Consider the provided information.

A regular tube of toothpaste costs $2.50 for 3.2 ounces.

Find out the unit rate as shown below:

\frac{\$2.50}{3.2}=\$0.78

Therefore, the cost of one ounce is $0.78.

A travel size tube costs $1.00 for 1.2 ounces.

Find out the unit rate as shown below:

\frac{\$1}{1.2}=\$0.833

Therefore, the cost of one ounce is $0.833.

From the above calculation we can observe that regular tube toothpaste price is better buy.

Now find the percent as shown:

Firs find the difference

$0.83-$0.78 = $0.05

Therefore,

\frac{0.05}{0.78}\times 100\approx 6.41

Hence, regular tube is 6.41% less costly as compare to travel size.

3 0
2 years ago
HELP 20 POINTS!! COMPARE 4.1 -3 1/2
GrogVix [38]
The answer to your question is <

-3 1/2 is greater that -4.1
8 0
3 years ago
Read 2 more answers
David created two functions. Function A can be represented by y=3/4x +2. Function be is represented by the graph below.
RideAnS [48]

Answer: don't know sorry

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
2 years ago
HURRY TIMED QUIZ!! ABCD is a rhombus. Find the length of AC. <br> A.20<br> B.30<br> C.26<br> D.16
Inessa05 [86]

Answer:

26

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the solution and the reasoning that justifies the solution to the systems of equations.
    9·1 answer
  • Explain why the amount of money in the account at the end of t years is given by the formula: P=P0(1+r/n)^nt
    15·1 answer
  • Two prime numbers that have the sum of 32
    10·1 answer
  • Which represents the domain of the relation {(–1, 4), (2, –3), (0, –2), (1, –3)}? {–3, –2, 4} {–3, –2, –1, 0, 1, 2, 4} {–1, 0, 1
    13·1 answer
  • Not sure how to solve. Julia uses the shadow of a flagpole to estimate its height. She stands so that the tip of her shadow coin
    12·1 answer
  • Jamal recorded three values for measuring water in a graduated cylinder. The
    14·1 answer
  • M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?
    10·1 answer
  • I need help asap please 20 points.
    6·1 answer
  • Jocelyn finds the blueprints for her house in the basement. The kitchen floor measures 12 inches long and 15 inches wide on the
    6·1 answer
  • The original selling price of a share of stock was d dollars. The selling price for a
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!