t the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210210210 oranges for a total harvest of 417904179041790 oranges.
Write an equation to determine the initial number of orange trees (t)(t)left parenthesis, t, right parenthesis on MacDonald's farm.
Find the initial number of orange trees on MacDonald's farm.
orange trees
Answer:Initial number of trees (t)=204
Step-by-step explanation:
t = initial number of trees
Subtract 5 trees from the initial number of trees
we have,
t-5
each remaining tree made 210 oranges for a total of 41,790 oranges
We have,
(t-5) * 210=41790
Solve the equation
(t-5) * 210=41790
Open the bracket
210t-1050=41790
210t=41790+1050
210t=42840
Divide both sides by 210
210t/210=42840/210
t=204
The initial number of trees on MacDonald farm orange trees (t)=204
If 5 is removed from the initial trees
t-5=204-5
=199 trees
199 trees produce 210 oranges
We have,
199*210=41790 oranges
2. The length of a rectangle is 5 feet more than the width. The perimeter of the rectangle is
58 feet.
Find the width of the rectangle.
The width of the rectangle is 12ft.
What is the difference between area and perimeter of a rectangle?The rectangle's perimeter is calculated using its length. Given by the total of the rectangle's sides, it is stated in linear units.
The space inside the rectangle is measured by area, on the other hand. It is measured in square units and equals the sum of the rectangle's length and width.
Let us suppose the width of the given rectangle be x
According to the given question;
Length of rectangle is 5ft more than its width
Therefore, length of rectangle= x+5
We know that,
Perimeter of rectangle = 2 ( length+breadth)
Perimeter of rectangle = 2[x+(x+5)]
It is given in the question that perimeter of the rectangle is 58ft
Thus,
⇒2( length+breadth) =58
⇒ 2[x+(x+5)] = 58
⇒ 2 (2x+5) = 58
⇒ 4x + 10 = 58
⇒ 4x = 58- 10 = 48
⇒ 4x = 48
⇒ x = 12
Thus, width of rectangle = 12 ft
length of rectangle = x+5 = 12+5 = 17ft
Hence, the width of the rectangle is 12ft.
To know more about the similar questions on 'perimeter of rectangle';
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FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (40pts)
Answer:
14 people
Step-by-step explanation:
20% of 70 is 14, and 20% of the people gave crew b a high rating.
(hope this help :P)
Find the peremiter of triangle ABC
Answer:
18
Step-by-step explanation:
if AB : BC : AC is 3 : 4 : 2 and BC = 8 then AB = 6 and AC = 4
To calculate the perimeter of the triangle we add all side lengths up
4 + 6 + 8 = 18
Answer:
Step-by-step explanation:
12
units.
Explanation:
Using the Distance Formula,
A
B
2
=
{
(
−
5
)
−
(
−
2
)
}
2
+
{
(
−
2
)
−
(
−
2
)
}
2
=
9
∴
A
B
=
3
Similarly,
B
C
=
5
,
and
,
A
C
=
4
Hence,
the Perimeter=
A
B
+
B
C
+
A
C
=
12
units.
Answer link
You forget to dry the bread knife after you washed it and reddish brown spots start to appear on the knife.
Physical or Chemical Change?
Evidence?
48 = -12t
HELP ASAP PLEASE
Answer:
-4
Step-by-step explanation:
Angle 6 and 7 are examples of which type of angle pair
Answer:
vertical angles?
Step-by-step explanation:
Can someone help me please!!
Answer:
D.
Step-by-step explanation:
Solve for x .
x ≥−1
Solve 7 ÷ one half = ___.
Answer: 14
Step-by-step explanation: Good luck! :D
Mira is sending a care package to her cousin overseas. she wants to send a 64 ounce container filled with her cousins two favorite candies. one type of candy comes in 2 ounce packages and the other comes in 8 ounce packages. write in equation in standard form to represent this situation
Answer:
2x+8y=64
Step-by-step explanation:
A kite flying in the air has a 4-m line attached to it. Its line is pulled taut and casts a 3-m shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth
Answer:
2.6
Step-by-step explanation:
I used the a^2+b^2=c^2 to get this answer. I squared all the number given and got 16 and 9. Then I subtract them to get 7. Finally square 7 off and got 2.6 as the final answer
Hope this helped
[tex] \sqrt{7} = 2.6[/tex]
Find the distance between the two points in simplest radical form. Pleasee answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
[tex]\boxed{\textsf{ The distance between the two points is \textbf{12.164 units }.}}[/tex]
Step-by-step explanation:
Two points are given to us and we need to find the distance in simplest radical form. The given two points are (3,9) & (-2,2) . So lets use Distance Formula to find the distance between them .
Distance Formula is :-
[tex]\sf\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\sf\implies Distance =\sqrt{ (-2-3)^2+(9-2)^2}\\\\\sf\implies Distance =\sqrt{ -5^2+7^2}\\\\\sf\implies Distance = \sqrt{ 25 + 49} \\\\\sf\implies Distance = \sqrt{ 74} \\\\\sf\implies Distance=\sqrt{37}\times 2\\\\\sf\implies \boxed{\pink{\sf Distance = 12.164 units .}}[/tex]
Test worth 90 points; test score of 90%
Answer:
the first one
Step-by-step explanation:
not 100% sure but a good guess
Matching Using Distributive Property
Match Each Expression with the equivalent expanded expression
I failed the first try so please help, I'll give you brainly as a reward
Answer:
1/3(9+81)= 30
2(4x+2)= 8x+4
0.5(2x+3)= x+1.5
-5(2x+3/5)= -10x-3
-3(2/3x-1)= -2x+3
the answers are in the picture
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the
exponential equation?
Sorry for tje late answer but it is 150 * 0.08^x
The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
What is depreciation?Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,
[tex]A = P(1-\dfrac{r}{100})^t[/tex]
where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.
We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,
[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]
Hence, the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
Learn more about Depreciation:
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answer this question i’ll give brainliest
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Whats the measure of z
Answer:
z = 24°Step-by-step explanation:
Angle on a straight line= 180°90 + 66 + z = 180°156 + z = 180°z = 180° - 156°z = 24°let y be 2x
90 + 66 + 24 + X + 2x = 360° (angles at a point)
180° + 3x = 360°
3x = 360° - 180°
3x = 180°
divide both sides by 3
3x/3 = 180/3
X = 60
2x = 2(60) = 120°
therefore X = 60°
Y = 120°
90° + 66° + 24° + 60° + 120° = 360°
Type in an integer or a simplified fraction
Answer:
0?
Step-by-step explanation:
not sure without all of the question
What is the solution to this system of equations?
Answer:
Step-by-step explanation:
The solution is the point of intersection of the lines. That is (-2,8)
Help please! Number 11
Answer:
A
Step-by-step explanation:
I believe the answer is A because in MNL it tells the letters of all the angles as well as LMN. Since the total amount of degrees in MNL is the same as LMN I believe that the answer is A.
∠MNL = ∠LMN
Hope this Helps!!! :)
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz with these problems I WILL PIC BRAINLIEST
Answer:
Can't see the rest
Step-by-step explanation:
[tex]7^{2+5+2} =7^{9}[/tex]
[tex]x^{5-8} y^{12-9}z^{0} =x^{-3} y^{3}[/tex]
[tex]x^{3+5}=x^{8}[/tex]
[tex]5^{1} +5^{0} ,(5^{1})^{1},5^{2}/5[/tex]
[tex]\sqrt[3]{7} ,\frac{7}{7^{2/3} } ,7^{1/6}*7^{1/6}[/tex]
[tex]625 = 5*5*5*5, 5^{4}[/tex]
[tex]2^{10} =2*2*2*2*2*2*2*2*2*2=1024[/tex]
Please help fast!!!
The table represents some points on the graph of the exponential function that models the radioactive decay of a
sample of xenon-135.
Xenon-135 Sample
Time, x
(hours)
Mass, y
(grams)
0
70
4.6
49.5
9.2
35
13.8
24.7
18.4
17.5
Which statement about the graph of this function is true?
Answer:B
Step-by-step explanation:
The exponential curve passes through the point (0, 70). Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.
At x = 4.6, the value of 'y' will be 49.5.
[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]
At x = 9.2, the value of 'y' will be 35.
[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]
From equations 1 and 2, then we have
[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]
Then the value of 'a' will be
[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]
Then the equation is given as,
y = 70 · (0.927)ˣ
The graph is given below.
The exponential curve passes through the point (0, 70). Then the correct option is B.
More about the exponent link is given below.
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The missing options are given below.
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Which mixed number is equivalent to the improper fraction below?
Answer:
d
Step-by-step explanation:
5.) What advice would you give to Joshua?
Answer:
stay in school
Step-by-step explanation:
Write an equation for the following sentence:
The sum of three times a number and 7 is 20.
Answer:
3x+7=20 is an equation for the sentence.
hope it is right answer for it
Answer:
3x+7=20 is an equation for the sentence.
hope it is right answer for it
Which is the equation for a line that passes through the points (3 , 1) and (4 , -1) ?
y = -2x - 7
y = 2x - 7
y = 2x + 7
y = -2x + 7
Answer:
Y= -2x+7
Step-by-step explanation:
Factor the GCF -12x^3y^5-9x^2y^2+12xy^3
Which of the following expressions results in 0 when evaluated at x = 4?
ОА. (x + 6)(x - 2)
OB. (x-10)(x-4)
OC. (x+4)(x - 10)
OD 4x(x-6)
The answer is B. because (4-10) equals -6 and (4-4) equals 0. -6 times 0 is 0.
8x−6y=1 what is the slope of the line
Answer:
m = 4/3
Step-by-step explanation:
Two ways to do this problem.
Method 1 change the Method 2 If a linear equation is in
equation to slope-intercept form standard form, ax =by = c then
8x - 6y = 1 the slope = -a/b
-6y = -8x + 1 In 8x - 6y = 1 a = 8 and b = -6
y = (-8x)/-6 +1/-6 So m = - (8)/-6 = 8/6 = 4/3
m = -8/-6= 4/3
Note: Method 2 only works if the equation is in standard form.
i need help on number 1