A citrus grower purchased 25 orange trees and 20 grapefruit trees for $290. The next week, at the same prices, the grower bought 20 orange trees and 30 grapefruit trees for $330. Find the cost of an orange tee and the cost of a grapefruit tree.

Answers

Answer 1

Answer:

The cost of an orange tree is $ 6 while that of a grapefruit tree is $

Step-by-step explanation:

Let x be the cost of an orange tree and y be the cost of a grapefruit tree. In the first week, the citrus grower purchased 25 orange trees and 20 grapefruit trees for $290, so 25x + 20y = 290 (1).

In the next week, the grower bought 20 orange trees and 30 grapefruit trees for $330. So, 20x + 30y = 330 (2)

From (2) y = (330 - 20x)/30 = (33 - 2x)/3

substituting y into (1), we have

25x + 20[(33 - 2x)/3] = 290

multiplying through by 3, we have

75x + 20(33 - 2x) = 870

expanding the bracket, we have

75x + 660 - 40x = 870

collecting like terms, we have

75x - 40x = 870 - 660

35x = 210

dividing both sides by 35, we have

x = 210/35

x = 6

substituting x = 6 into y, we have

y = (33 - 2x)/3

= (33 - 2(6))/3

= (33 - 12)/3

= 21/3

= 7

So the cost of an orange tree is $ 6 while that of a grapefruit tree is $ 7.


Related Questions

Which of the following is a function?

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Answer:

this is a function

Step-by-step explanation:

Answer:

I think it’s -3

Step-by-step explanation:

7th grade, 25 points plus brainliest to the correct answer, no point theives please, the question is in the picture.

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Answer:

I don't see any attachement or a picture or anything

Step-by-step explanation:

The answer is D

PLEASE HELP AND SHOW WORK​

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Answer:

38) Angle 2 = 32°; angle 1 = 32°; angle 3 = 110°

39) Angle 3 = 81°; Angle 2 = 28°; angle 1 = 71°

Step-by-step explanation:

38) angle 2 = 180 - (110 + 38)

This is because sum of angles in a triangle is equal to 180°. Thus;

Angle 2 = 32°

Angle 1 = 38° due to the postulate that alternate interior angles are equal

Angle 3 = 110° due to corresponding angles postulate

39) Angle 3 = 81° due to the postulate that alternate interior angles are equal

Angle 2 = 28° due to the postulate that alternate interior angles are equal

Angle 1 = 180 - (81 + 28) = 71° due to the fact that angles in a triangle sum up to 180°

Could use some help please
2x+y=-4
-3y=2x+12

Answers

Answer: 3y=12−2x 3 y = 12 - 2 x

Step-by-step explanation:

Answer:

Let

2x+y=-4——(1)

-3y=2x+12

2x+3y=-12—-(2)

Deduct eqt 1 from 2

(2x+3y=-12)

-(2x+y=-4)

2y=-8

y=-4

Put y=-4 into eqt 1

2x-4=-8

2x=-8+4

2x=-4

Divide both sides by 2

x=-2

:. x,y= -2,-4

Step-by-step explanation:

I REALLYYYYY NEED HELP PLSSSS NO DUM ANSWERS I SERIOUSLY NEED HELP

Answers

Answer:

First blank: 869x

Second blank: 17,575

D

Step-by-step explanation:

Men (f): 389x + 7500

Women (g): 480x + 10075

Equation: (f + g)

Equation: 389x + 7500 + 480x + 10075

Combine like terms

869x + 17575

Equation: 869x + 17,575

$1400 is divided between two accounts. One account pays $3%$ interest, while the other pays $4%$. At the end of the interest period, the interest earned was $50. How much was invested in each account?

Answers

Answer:

$60

Step-by-step explanation:

one of them got $40 and the other one $20

HELP ASAP
6+ x - y + 10=

Answers

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

on aleks, need help asap :(

Answers

Xienfjejcne where’s the equation homie

(05.05) Which of the following inequalities matches the graph? (1 point)​

Answers

Answer: Choice C.  [tex]y \ge -1[/tex]

==========================================================

Explanation:

The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.

The shading is above the boundary line, so the inequality is [tex]y \ge -1[/tex]

Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.

For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality [tex]y \ge -1[/tex] because [tex]2 \ge -1[/tex] is a true statement.

Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.

find the value of the expression below x=2 3x​

Answers

x=2
So that would mean
3(2)=6
Hope this helps have a good day! :)

this is for freckle which I hate can someone help?

Answers

Answer:

The answer is B. 26 miles per hour.

Step-by-step explanation:

13+13=26

X goes by an hour.

The answer would be C.39 because 39 lines up with 1 he so 39 miles per hour

Hope this helps

Have a great day/night

2x + 5 = 13
What is the answer and the steps for this equation

Answers

Answer: 4
Subtract 5 from both sides
You end up with 8
Divide 2 by 8
You end up with x=4

2x + 5 = 13

2x = 13 - 5

2x = 8

*divide both sides by 2*

x = 4

Yoo 9th grade math please help me out My grade is slowly slipping

Answers

Answer: I'm pretty sure it would be no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

y_<_2x

4_<_2(3)

4_<_6

true

y > x + 4

4 > 3 + 4

4 > 7

false

HELPPP NEED THIS IN THE NEXT 10 MINSS!!!!

Answers

The answer is 45
Hahahahahahab

anyone good at solving rational zeros ​

Answers

Answer:

sort of

Step-by-step explanation:

B) sometimes but it depends.

Which of the following is a geometric series? 0.1 + 0.3 + 0.5 + 0.7 1 + 3 + 9 + 27 19 + 17 + 15 + 13 0.4 + 0.9 + 1.5 + 2.2

Answers

The series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

As we know, the geometric series has a common ratio:

If a, b, c, d, e.....

is in the GP then,

b/a  =  c/b  =  d/c = and so on

We have a series:

0.1 + 0.3 + 0.5 + 0.7

0.3/0.1 ≠ 0.5/0.3

The above sequence is not a geometric series.

1 + 3 + 9 + 27

3/1  =  9/3  = 3

The above sequence is a geometric series.

19 + 17 + 15 + 13

17/19  ≠  15/17

The above sequence is not a geometric series.

0.4 + 0.9 + 1.5 + 2.2

0.9/0.4  ≠  1.5/0.9

The above sequence is not a geometric series.

Thus, the series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

You are given two vertical angles. The first angle measures 30 degrees.

The second angle measures x + 10 degrees. What is the value of x?

Answers

Answer:

20 degrees

Step-by-step explanation:

vertical angles are congruent:

x+10=30

Please I dont wanna fail :( help me

Answers

Answer:

f = 132 degrees

Step-by-step explanation:

The total angle measure of this is 360 degrees. We know 2 of the angles, so subtract them from 360 to get 198. The sum of f and g must equal 198 degrees. Since we know that f = 2g, we can divide 198 by 3 to get 66. So, we know g = 66. To find f, multiply 66 by two to get 132. So, g = 66 and f = 132

1.008 +7.
2-5.92 +2.34​

Answers

The answer is
4.628
Hope that helps <3

Answer: 4.628

Step-by-step explanation:

20 POINTS!!!
Which day and time represents the best predicted time during this week to explore the tide pools in Point Loma?
What is the difference between the highest tide predicted on this table and the lowest tide predicted on this table?
What is the difference between the highest and lowest tides predicted on Friday, January 31?
Ryan and his dad plan to go tide pooling on Saturday morning around 11:30am. Did they pick a good time to go? Is there a better time on Saturday that they should go instead? Explain your reasoning using complete sentences.

Answers

Answer:

I'm doing this project rn I'll help you as soon as I'm done! Did you do the other sections already?

Step-by-step explanation:

JEJEISHEVEHSUEHRH PLEASE ✋✋✋✋

Answers

red- 2
green- 3
yellow - 1
blue- 4

I need help with this question from edulastic please.

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the answer would be C.


-1 has more than one output.


hope this is correct,, have a nice day :))

Answer:

i think it is the one you c

Step-by-step explanation:

An expression is shown below:

the square root of 32 plus the square root of 2

Which statement is true about the expression?
the square root of 32 plus the square root of 2
It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 5 times the square root of 2.
It is irrational and equal to 5 times the square root of 2.

Answers

Answer:

C or D...

im guessing

Answer:

√32=√(16*2)=4√2  

4√2 + √2=5√2

That is why is irrational

Step-by-step explanation:

solve for 2x+2(x−5)=6

Answers

Answer:

x=4

Step-by-step explanation:

Which of the following expresses the possible number of positive Icai
solutions for the polynomial equation shown below?
5x° + x2 - 7x+ 28 = 0
O A. Zero
B. One
C. Two or zero
D. Three or one

Answers

9514 1404 393

Answer:

  C.  Two or zero

Step-by-step explanation:

The signs of the polynomial terms are: + + - +.

There are two sign changes, one from + to -, and the other from - to +. The two sign changes means the number of positive real roots will be a maximum of 2. Any even number of roots may be complex, so will not be real. That is, the number of positive real roots may be 2 or 0.

A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget. (2 points)

Answers

20.56 can I have my points

PLEASE HELP TIMED TEST!!!


Which interval below correctly describes the domain of the graph f ( x ) ? a.) (-∞,3} b.) [-3,5] c.) [-5,3] d.) (-∞,∞)

Answers

Answer:A

Step-by-step explanation:

If they both go down from 3 then it is 3 and then -infinity.

(this is my best answer without a picture, hope you get it right!)

1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15

O Function

O Not a Function

O both​

Answers

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Mrs. Russell bought a computer for $250. The tax was 7%. What was the total cost of the computer with tax?

Answers

Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

Hope this helps :)

Who earns more per hour, and what is his or her pay rate?

Answers

It would be B because 34.50 divided by 3=11.50 which is more than Amina

Hope this helps

Have a great day/night
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