. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. An urban forest has 1,650 large and small trees. Together, these trees remove 1,818 kg of pollution each year. Which system of equations could be used to find the number of large and small trees in the forest?

Answers

Answer 1

Answer:

The system of equations are:

s + b = 1650.... Equation 1

0.04s + 1.5b = 1818........ Equation 2

The number of

Small trees = 450 trees

The number of Big trees = 1200 trees

Step-by-step explanation:

From the above question

Small trees = s

Large trees = b

An urban forest has 1,650 large and small trees.

Hence,

s + b = 1650.... Equation 1

s = 1650 -b

A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.

Hence:

0.04s + 1.5b = 1818........ Equation 2

We substitute 1650 - b for s

0.04(1650 - b) + 1.5b = 1818

66 - 0.04b + 1.5b = 1818

- 0.04b + 1.5b = 1818 - 66

1.46b = 1752

b = 1752 ÷ 1.46

b = 1200 trees

Solving for x

1650 - b = s

s = 1650 - 1200

s = 450 trees


Related Questions

Simply each expression completely and you can use the power to power rule to solve this

Answers

Answer:

c = 240

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Then

[tex](a^{40}) ^{6}[/tex]

= [tex]a^{40(6)}[/tex] = [tex]a^{240}[/tex]

a line through (2, 15) and (6, 7)​

Answers

Answer:

y = -2x + 19

Step-by-step explanation:

Let the equation of the line is y = mx + b

Here, m = slope of the line

          b = y - intercept

slope of a line passing through (x₁, y₁) and (x₂, y₂) is given by

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

slope of line passing through (2, 15) and (6, 7) will be

[tex]m=\frac{15-7}{2-6}[/tex]

    = (-2)

Equation of the line will be,

   y = -2x + b

Since line passes through point (2, 15)

15 = -2 (2) + b

b = 15 + 4

b = 19

Therefore, equation will be,

y = -2x + 19

HELP ME ASAP 100 POINTS If the right triangular prism shown has a volume of 36 cubic centimetres, what is the height of the triangular base of the prism, H? A. 12 cm B. 2 cm C. 6 cm D. 4 cm

Answers

Answer:

substitute all given values in this formula v=base ×height

then height= base /volume

Step-by-step explanation:

ASAP PLEASE HELP

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Answers

Answer:

Step-by-step explanation:

Sin(x) = opposite / hypotenuse.

opposite = 28  The opposite is not connected to the angle.

hypotenuse= 35

Sin(x) = 28/35 = 4/5

Cos(x) = adjacent / hypotenuse.

The adjacent side is part of the angle

adjacent = 21

hypotenuse = 35

Cos(x) = 21 / 35 = 3/5

Tan(x) = opposite / adjacent

opposite = 28

adjacent = 21

Tan(x) = 28/21

Tan(x) = 4/3

2) A circle has an area of 12ñ cm^2. Find its circumference. (Round your answer to the
nearest tenth.

Answers

Answer:

75.4

Step-by-step explanation:

Our area is divide the area by pi meaning 12 is our radius

to solve for circumference

we use

[tex]2[/tex]×[tex]\pi[/tex]×[tex]radius[/tex]

(2×3.14)×12=

6.28×12=

7.36

Write a linear equation in slope-intercept form with a slope of -5 and passes through the point (-1, -8).

Answers

Slope intercept form ( y = mx + b)

m is your slope
b is your y intercept

Substitute the point (-1 (x), -8 (y)) into the formula with your slope to find the y intercept

Y = mx + b
-8 = -5 (-1) + b
-8 (-5)= 5 (-5)+ b
-13 = b

So y = -5x -13 is your answer

Find the value of x. x =36 x =6 x = 97−−√ x = 97

Answers

Answer: 21

Step-by-step explanation:

Answer:

√97

Step-by-step explanation:

solve for b 1.34 =-1.6b+1.5

Answers

Answer:

b=75/97

Step-by-step explanation:

math, two questions I need help . look at the pic

Answers

Answeer

scan it with photo math it works

Step-by-step explanation:

(5 + 42) ÷ 3 ● 6
I need the answer and Steps Plz

Answers

47/3 x6
Reduce
47x2
=
94

What is the classification for this polynomial? 6xyz + xy Click on the correct answer. monomial binomial trinomial​

Answers

Answer:

Binomial

Step-by-step explanation:

the polynomial has two terms 6xyz and  xy

A pair of sneakers that normally cost $120 have their price reduced by 25%.
What is the sale price of the sneakers?
The sales price of the sneakers is $

Answers

Answer:

$90.00

Step-by-step explanation:

120.00 x 25% = 30.00

120.00 - 30.00 = $90.00

Is the graph a linear function, no name and function, or relation (non-functioning)?

Answers

Answer:

no name and function

Step-by-step explanation:

What’s the measure of E

Answers

Answer: 30 degrees

Step-by-step explanation:

Answer:

the answer is A.30 dgree

Madera High School's Drama Department sold tickets to their next show. Tickets for adults were $10 each and youth were $5 each. A total of 150 tickets were sold costing $1150.

Select the two equations that form the system of equations to determine how many adults and youth attended.

A represents the number of adults that attended and Y represents the number of youth.

Answers

Answer:

I can't see the equations but I can give you one

Step-by-step explanation:

1150 = 5y + 10a

Answer:

the equation would be

A+Y=150

10A+5Y=1150

Step-by-step explanation:

A=number of adults

Y=number of growth

total tickets = 150

In Cyprus City there are 12,000 adults. 7,500 of the adults in the town are registered voters. In a poll to predict who will be the next mayor, a statistician asks 500 registered voters who they plan on voting for mayor. How many people are in the population of registered voters? And how many people are in the sample taken by that statistician?

Answers

Answer:

Step-by-step explanation:

12

In a football drill, Ron is standing 30 yards directly east of John, and Bill is standing 40 yards directly north of John. If the football is thrown from Ron to Bill then Bill to John, how many yards did the football travel?​

Answers

Answer:

70 Yards.

Step-by-step explanation:

From Ron to Bill is 30 and from there to John adds 40 which equals 70

I might have done the math wrong, or got the whole thing wrong. Sorry if so.

The answer to your question is 70 yards

PLZ HELP ILL MARK U BRAINLIEST!!!!

Answers

Answer:

x=12

Step-by-step explanation:

58° = (5x-2)

add 2 to both sides

60 = 5x

divide by 5 on both sides x = 12

The two triangles are similar.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x = 10

Step-by-step explanation:

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Answer: x=10

Step-by-step explanation: correct test results

[Inequalities]
Please help and thanks.

Answers

Answer:

9)m≤54

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13)y≤40

Step-by-step explanation:

9)m−18≤36

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m≤36+18

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m≤54

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x=270/9

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x>30

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y≤8×5

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y≤40

You and your friend were working the ticket table at the last school basketball game.
The tickets sold for $5 for adults and $3 for students.
A total of 375 people attended the
game and a total of $1375 was taken in at the ticket table. How many adult tickets were
sold and how many student tickets were sold?

Answers

Answer:

Step-by-step explanation:

First

a+s=375

a=375-s

Next

5a+3s=1375, now using a found above makes this equation become

5(375-s)+3s=1375

1875-5s+3s=1375

1875-2s=1375

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s=250, since a=375-s

a=375-250

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Jason purchased 12 shirts for the members of a school club. Each shirt cost $5.50. Jason
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Answers

Answer:

52 dollars and 47 cents, or 52.47

Step-by-step explanation:

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someone help!!!
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Answers

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Answer:

- 15x^{3} y

Step-by-step explanation:

[tex] - 15x ^{3} y[/tex]

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Answers

Answer:

Um, maybe 21.5?

Step-by-step explanation:

43/2 = 21.5, so maybe

1 = 21.5

Try 21.5 Im not sure if this is correct tho

What is the value of x below? *
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Answers

Answer:

Step-by-step explanation:

The sum of those two angles must be 180 degrees.

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Answers

Answer:

The shoes now cost $5.60

Answer:

1.40

Step-by-step explanation:

100% = 3.50

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Quick please
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Answers

The answer would be x= 7

what strategy can be used to transform a quadratic function in vertex form to standard form

Answers

Hello, I Am BrotherEye

Answer:

This Transparent inquisition can be solved Below

Use transformations to graph a quadratic function in vertex form. A quadratic function in standard form, f(x) = ax² + bx + c, can be changed into vertex form by completing the square. The vertex form of a quadratic function is f(x) = a(x – 5)2 + k, where the vertex of the function is (h, k).

Step-by-step explanation:

Vertex form to standard form converter

Write the parabola equation in the vertex form: y = a*(x-h)² + k ;

Expand the expression in the bracket: y = a*(x² - 2*h*x + h²) + k ;

Multiply the terms in the parenthesis by a : y = a*x² - 2*a*h*x + a*h² + k ;

Best Of Luck

~

BrotherEye

Expand and simplify the expressions using properties of operations. 8(3x - 7)

Answers

Answer:

8x10x

Step-by-step explanation:

According to the weather channel, the chance of rain on Tuesday, February 23rd is 6%. It's complement is %.

Answers

Answer:

It's complement is 94%.

Step-by-step explanation:

Complement of a percentage:

The complement of a percentage is 100% subtracted by this percentage.

In this question:

Percentage of 6% for probability of rain.

So the complement, that is, the probability of not raining, is:

100 - 6 = 94%.

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