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
babunello [35]
3 years ago
13

Hudson went into a grocery store and bought 5 peaches and 7 mangos, costing a total of $16. Austin went into the same grocery st

ore and bought 10 peaches and 4 mangos, costing a total of $14.50. Determine the price of each peach and the price of each mango.
Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Answer:

the mango cost 1.75$ each and the peach 0.75$

Step-by-step explanation:

M= mango

P=peach

we know that Hudson spend 16$ buying 7 mangos and 5 peaches. So we can write the equation

(1) 16=7M+5P---> (2)P=(16-7M)/5

and we know that Austin spend 14.50 buying 4 mangos and 10 peaches.

we write the equation

(3)14.50=4M+10P

and we replace the P with the equation (2)

14.5=4M+10*(16-7M)/5

14.5=4M+2*(16-7M)

14.5-32=4M-14M

M=1,75$

and now we replace M in eq. (2)P=(16-7*1.75)/5=0.75$

You might be interested in
Tan?cos? Sin? What is the m
AlexFokin [52]

Answer:

45º

Step-by-step explanation:

Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.

8 0
2 years ago
You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean i
notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

a. What is the probability that your last pot will have the necessary 7 crabs?

b. What is the probability that your last pot will be empty?

Answer:

a. Probability = 0.0083

b. Probability = 0.0907

Step-by-step explanation:

This is Poisson distribution with parameter λ=2.4

a)

The probability that your last pot will have the necessary 7 crabs is calculated below:

P(X=7)=  {e-2.4*2.47/7!} = 0.0083

b)

The probability that your last pot will be empty is calculated as:

P(X=0)=  {e-2.4*2.40/0!} = 0.0907

8 0
3 years ago
La suma de las probabilidades de todos los posibles resultados de un experimento aleatorio debe ser igual a
Digiron [165]

Respuesta: Uno

La suma de la probabilidad de todos los resultados posibles de un experimento aleatorio debe ser igual a uno.

Porque algunos resultados más ocurren en cada sendero y la suma de todas las probabilidades es 100% o uno.

Espero haber ayudado, buena suerte! :)

3 0
2 years ago
Fill in the blank to complete the equation below.<br> 33 +?= 3(11 + 8)
svetlana [45]

Answer:

24

Step-by-step explanation:

11+8=19

19×3=57

33-54=24

3 0
2 years ago
Read 2 more answers
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
Jlenok [28]

Answer:

Value of b = \frac{5}{4} =1.25.

Step-by-step explanation:

Direct Variation states that a relationship  between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,  

a \propto b then it is of the form

a = kb     ;where k is constant variation.  

Given: a varies directly as b;

then, by definition of direct variation;

we have;

a = kb             .....[1]

Substitute the value of a =28 and b =7 to solve for k;

28 = k(7)

Divide both sides by 7 we have;

\frac{28}{7}=\frac{7k}{7}

Simplify:

k =4

now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

5=(4)b

Divide by 4 to both sides we get;

b =\frac{5}{4}

Therefore, the value of b = \frac{5}{4} =1.25



4 0
2 years ago
Read 2 more answers
Other questions:
  • Evaluate the expression 3÷1 1/5+1/2
    11·1 answer
  • Which is the length of the hypotenuse of the triangle?​
    7·2 answers
  • 758 round to the nearsest hundred
    13·2 answers
  • Please help this isn't my best subject
    11·1 answer
  • You calculate the following answer to a problem: 12.655 cm. You are asked to round your answer to four significant figures. Whic
    7·2 answers
  • Patrick bought a new fish and a cube shape tank for it. If the tank has a height of 17 inches, how much water will Patrick need
    8·2 answers
  • (2,-4) is reflected across the x-axis. what are the coordinates of its image?
    12·2 answers
  • What is the slope of this line? −3/2 −2/3 2/3 3/2
    11·2 answers
  • A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?
    12·1 answer
  • Need help plzzzzz need it
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!