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
denis-greek [22]
3 years ago
8

suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. how mush does each mango and each apple co

st.
Mathematics
2 answers:
Colt1911 [192]3 years ago
8 0
Let m= cost of mangoes 
a= cost of apples 
8m+3a=18 total (first equation)

3m+5a=14.50 (Second Equation)

Solve using system of equations

8m+3a=18.00
3m+5a=14.50
Multiply 1st equation by 5 and second equation by -3:
5(8m+3a)=5(18.00)
-3(3m+5a)=-3(14.50)
Your problem should look like:
40m+15a=90
-9m+-15a=-43.5
Then you cancel out the 15a and (-15a). So when you combine like terms you get: 31m=46.5 
Divide each side by 31. 
31m\31=46.5\31
m= 1.5
Then you plug in 1.5 into any of the original equation to find the cost of your apples.
3(1.5)+5a=14.5
4.5 + 5a = 14.5 
5a=14.5-4.5
5a=10
a=2
Each Mango cost $1.50 and each apple costs $2.00
Zanzabum3 years ago
6 0
Suppose a mango cost x dollar and a apple cost y dollar

there will be an binary system of equation

8*x+3*y=18
3*x+5*y=14.5

so soultions have to x=48/31     y=16/31

You might be interested in
ANSWER QUICKLY PLEASE!!
garik1379 [7]

Answer:

A

Step-by-step explanation:

A have a positive line going up.

3 0
2 years ago
Figure this out please Asap.
weeeeeb [17]

If the polygons are similar then the sides are in proportion.

\dfrac{32}{24}=\dfrac{32:8}{24:8}=\dfrac{4}{3}

Therefore we have the equations:

\dfrac{x-1}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(x-1)=(4)(6)\\\\3x-3=24\qquad\text{add 3 to both sides}\\\\3x=27\qquad\text{divide both sides by 3}\\\\\boxed{x=9}


\dfrac{y+1}{21}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(y+1)=(21)(4)\\\\3y+3=84\qquad\text{subtract 3 from both sides}\\\\3y=81\qquad\text{divide both sides by 3}\\\\\boxed{y=27}

6 0
3 years ago
Tyson brought a bag of coins into the bank to be counted. The bag contained only nickels and
podryga [215]

There will be 130 nickels and 90 dimes. 100 nickels is 5 dollars. 90 dimes are 9 dollars. And then there will be 30 left. 30 dimes isn’t 1.50$ bur 30 nickels is 1.50$ so you add the 30 to the nickels and it’ll be exactly 15.50$.

6 0
3 years ago
Given the function h(a) = -x^2+ 7x + 14, determine the average rate of change
Yakvenalex [24]

Answer:

- 2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [a, b ] = [1, 8 ], thus

f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6

f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20

average rate of change = \frac{6-20}{8-1} = \frac{-14}{7} = - 2

6 0
3 years ago
Can someone please help?
n200080 [17]

Answer:    9. Is yes 2 grams of protein; per 1 cup of serving    10. Is no, because 30 + 30 is 60 and not 32 + 28 because 32 + 28 isn't proportional, also i love bokuaka

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Need help solving this equation please 5w+8-12w=16-15w
    5·1 answer
  • If a bottle rotates through 250 degrees in 50 min,how many degress will it rotate in 5 min
    12·1 answer
  • Help Me Please! I will answer some of your questions :)
    13·1 answer
  • What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x plus 1 over x plus 5
    12·1 answer
  • Given the function ƒ(x) = 5x2 − 9x + 18, find ƒ(3).
    14·1 answer
  • Power set of {e,f,m,n,o}
    12·2 answers
  • What is the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3)?
    15·1 answer
  • Solve the system by substitution.<br> y = -4x<br> 23 - 5y = 44
    5·1 answer
  • Y - 4= 7(x - 6)<br> x-intercept<br> y-intercept
    15·1 answer
  • What is 15 percent of 20
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!