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
9966 [12]
3 years ago
14

You mix 1/2 cup of oats for every 1/4 cup of honey to make 12 cups of granola. How much oats and how much honey do you use?

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0
<h2>Answer: </h2>

I will use 6 cups of oats and 1 cup of honey to make 12 cups of granula .

<h3>Explanation: </h3>

Let x be the number of cups of oats and let y be the number of cups of honey. Given statement can be expressed in fractions as

½ x / ¼ y = 12

4x/2y = 12

2x/y = 12

x/y = 12/2 = 6/1

x=6, y=1

Therefore number of cups of oats = x = 6 cups

Number of cups of honey = y = 1 cup

You might be interested in
A combined total of 39000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is 235500 how much
dolphi86 [110]

Answer:

$12000 at 5%

$27000 at 6.5%.

Step-by-step explanation:

Let x represent amount invested at 5% and y represent amount invested at 6.5%.

We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

x+y=39000...(1)

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

0.05x+0.065y=2355...(2)

Upon substituting equation (1) in equation (2), we will get:

0.05x+0.065(39000-x)=2355

0.05x+2535-0.065x=2355

-0.015x+2535=2355

-0.015x=2355-2535

-0.015x=-180

\frac{-0.015x}{-0.015}=\frac{-180}{-0.015}

x=12000

Therefore, an amount of $12,000 is invested at 5%.

Upon substituting x=12000 in equation (1), we will get:

12000+y=39000

y=39000-12000

y=27000

Therefore, an amount of $27,000 is invested at 6.5%.

4 0
3 years ago
Yo can somebody help me with this question
nydimaria [60]

Answer:

\huge\boxed{x=9}

Step-by-step explanation:

\angle A\cong\angle B\qquad\text{therefore}\qquad AC\cong BC\Rightarrow|AC|=|BC|\\\\\text{We have}\ |AC|=20;\ BC=3x-7.\\\\\text{Therefore}\\\\3x-7=20\qquad|\text{add 7 to both sides}\3x-7+7=20+7\\\\3x=27\qquad|\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9

6 0
3 years ago
Any ideas anybody? Help needed.
kvv77 [185]
Here is your answer in the picture

5 0
3 years ago
a bookstore sold a total 43 paperback and hardback books. each paperback books costs $4.50, and each hardback book costs $12.00.
creativ13 [48]
The answer will be 32
Have a nice day :) .
7 0
3 years ago
The coordinates of the vertices of a polygon are shown below.
Effectus [21]

Answer:

Hexagon

Step-by-step explanation:

if you plot all the points and connect the lines then you get a six-sided shape which is a hexagon

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following describes the movement of a figure that is translated according to the rule below? (x,y) (x-7,y+1) Questi
    9·2 answers
  • Each batch of cookies requires 1/3 cup of floor how many batches of cookies can be made with 7 cups of flour
    15·1 answer
  • The mass in a pendulum clock completes one complete swing in 1.00 s . what is the length of the rod?
    8·1 answer
  • Jessica rented 1 video game and 3 movies for a total of $11.50.
    14·2 answers
  • You buy butter for $3.88 a pound.
    14·1 answer
  • A boy wants to swim from one dock of a pond to another dock. About how far will he have<br> to swim?
    6·1 answer
  • In ΔABC, ∠C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
    5·1 answer
  • I think it d somone help please
    5·1 answer
  • The angle measures of an isosceles triangle are shown. Find the value of w.
    15·1 answer
  • When the speed limit was 55 mph, Bob could cover 400 miles in a day's driving. After the speed limit went up to 70 mph, how far
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!