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
Nady [450]
3 years ago
10

Corn costs 99 cents per pound, and beans cost 45 cents per pound. If Shea buys 24 total pounds of corn and beans, and it costs $

\$18.09$, how many pounds of corn did Shea buy? Express your answer as a decimal to the nearest tenth.
Mathematics
1 answer:
viva [34]3 years ago
4 0
Shea bought 13.5 pounds of corn

c = pounds of corn
b = pounds of beans

Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24

Solve the second equation for c in terms of b

c = 24-b

Substitute that expression for c in our first equation to get a numerical solution for b:

0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5

Substitute that value to get a numerical value for c:

c = 24 - b
c = 24 - 10.5
c = 13.5

Check the math:

0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09
You might be interested in
What is the metric unit of a sink
Tom [10]
Liters would be the best metric unit.
7 0
3 years ago
Read 2 more answers
Which of the following is another name for a proof by contradiction?
andrew-mc [135]

Answer:

C. Indirect Proof

Step-by-step explanation:

There are two methods of indirect proof: proof of the contrapositive and proof by contradiction.

3 0
3 years ago
What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months? ( I hate asking for help
antoniya [11.8K]
<span>There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20 </span>
6 0
3 years ago
Read 2 more answers
The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
Blizzard [7]

the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)

hypotenuse = 10

 10/2 =5

 so the answer should be 5sqrt(2), which I don't see as a choice

4 0
3 years ago
A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 miles away from the starting point, how far west
Ratling [72]
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger. 
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle). 
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
3 0
3 years ago
Other questions:
  • How many degree has ABC
    8·1 answer
  • Please help me :(
    10·1 answer
  • How do I put in menu 3 1 on a calculator?
    10·1 answer
  • A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per
    12·1 answer
  • Is she correct ?????? HELP !!
    6·1 answer
  • I need your help....pleeeease!
    15·1 answer
  • 2 5/6 times 8 as a mixed number.
    14·1 answer
  • Is this relations a function? Justify your answer. ​
    6·2 answers
  • In angle PQR, angleQ=70 angle R=45 then angleP=.....<br>​
    8·1 answer
  • Write the slope-intercept form of the equation of the line through the given point with the given
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!