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
a line through (2, 15) and (6, 7)
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
what strategy can be used to transform a quadratic function in vertex form to standard form
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
Find the value of x. x =36 x =6 x = 97−−√ x = 97
Answer: 21
Step-by-step explanation:
Answer:
√97
Step-by-step explanation:
What’s the measure of E
Answer: 30 degrees
Step-by-step explanation:
Answer:
the answer is A.30 dgree
Jason purchased 12 shirts for the members of a school club. Each shirt cost $5.50. Jason
had a coupon for 25% off his total purchase. Sales tax was 6.0% after the discount. What
was the total cost for the shirts? (Write your answer to the Hundredths Place, DO NOT
USE A $ Sign)
The total cost was type your answer.
dollars.
Answer:
52 dollars and 47 cents, or 52.47
Step-by-step explanation:
First, multiply 12 and 5.50, then you should get 66.00. Then, take the 25% discount, and divide it by a hundred, you should get 0.25, now multiply 0.25 and 66.00. You should get 16.50, thats your discount, so subtract 16.50 from 66.00, you should get 49.50. Now for the sales tax, divide 6.0 by 100, you should get 0.06. Now multiply 0.06 and 49.50, you should get 2.97, thats your tax, add it to 49.50, and you get 52.47 so BOOM, thats your answer, your welcome
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 10Step-by-step explanation:
The ratio of corresponding sides of similar figures is same:
3x/20 = (4x + 2)/(20 + 8)3x/20 = (2x + 1) / 143x(14) = (2x + 1)(20)42x = 40x + 202x = 20x = 10Answer: x=10
Step-by-step explanation: correct test results
someone help!!!
-16x³y+2x³y-x³y
Answer:
- 15x^{3} y
Step-by-step explanation:
[tex] - 15x ^{3} y[/tex]
[tex] - 16x^{3} y \: + 2x ^{3} y \: - x ^{3} y \\ \\ - 16x ^{3} y + x^{3} y \: = \: - 15x^{3} y[/tex]
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 $
Answer:
$90.00
Step-by-step explanation:
120.00 x 25% = 30.00
120.00 - 30.00 = $90.00
solve for b 1.34 =-1.6b+1.5
Answer:
b=75/97
Step-by-step explanation:
Quick please
-4 + x = 3
Simply each expression completely and you can use the power to power rule to solve this
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]
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.
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 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?
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.
math, two questions I need help . look at the pic
Answeer
scan it with photo math it works
Step-by-step explanation:
Is the graph a linear function, no name and function, or relation (non-functioning)?
Answer:
no name and function
Step-by-step explanation:
What is the classification for this polynomial? 6xyz + xy Click on the correct answer. monomial binomial trinomial
Answer:
Binomial
Step-by-step explanation:
the polynomial has two terms 6xyz and xy
According to the weather channel, the chance of rain on Tuesday, February 23rd is 6%. It's complement is %.
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%.
What would y be for month 1, x
Answer:
Um, maybe 21.5?
Step-by-step explanation:
43/2 = 21.5, so maybe
1 = 21.5
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?
Answer:
Step-by-step explanation:
12
(5 + 42) ÷ 3 ● 6
I need the answer and Steps Plz
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?
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
-2s=-500
s=250, since a=375-s
a=375-250
a=125
So 125 adult and 250 student tickets were sold.
ASAP PLEASE HELP
LOOK AT THE PICTURE
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.
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
Expand and simplify the expressions using properties of operations. 8(3x - 7)
Answer:
8x10x
Step-by-step explanation:
PLEASE HELP!!!fast!!!!!!
Answer:
The shoes now cost $5.60
Answer:
1.40
Step-by-step explanation:
100% = 3.50
To get to 60%, divide 100 by 1.6, so this is the scale factor.
3.50/1.6=2.1 (this we need to take away from og amount)
3.50-2.10= 1.40
What is the value of x below? *
A diagram with line m parallel to line n is shown.
Answer:
Step-by-step explanation:
The sum of those two angles must be 180 degrees.
3x+10+80=180
3x+90=180
3x=90
x=30
[Inequalities]
Please help and thanks.
Answer:
9)m≤54
11)x>30
13)y≤40
Step-by-step explanation:
9)m−18≤36
Add 18 to both sides.
m≤36+18
Add 36 and 18 to get 54.
m≤54
11)9x>270
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x=270/9
Divide 270 by 9 to get 30.
x>30
13)y/5≤8
Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.
y≤8×5
Multiply 8 and 5 to get 40.
y≤40
Write a linear equation in slope-intercept form with a slope of -5 and passes through the point (-1, -8).
PLZ HELP ILL MARK U BRAINLIEST!!!!
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
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
Answer:
substitute all given values in this formula v=base ×height
then height= base /volume
Step-by-step explanation: