Answer:56
Step-by-step explanation:
Let ttt be the initial number of trees.
Hint #22 / 5
MacDonald now has t-5t−5t, minus, 5 trees and each one produced 210210210 oranges this harvest.
The total number of oranges produced is 210(t-5)210(t−5)210, left parenthesis, t, minus, 5, right parenthesis.
Hint #33 / 5
Since the trees produced a total of 417904179041790 oranges, let's set this equal to 417904179041790:
\qquad210(t-5)=41{,}790210(t−5)=41,790210, left parenthesis, t, minus, 5, right parenthesis, equals, 41, comma, 790
Now, let's solve the equation to find the initial number of trees (t)(t)left parenthesis, t, right parenthesis.
Hint #44 / 5
\begin{aligned}210(t-5)&=41790\\&\\ \dfrac{210(t-5)}{\blue{210}}&=\dfrac{41790}{\blue{210}}&&\text{divide both sides by $\blue{210}$}\\ \\ t-5&=199\\ \\ t-{5}\pink{+5}&=199\pink{+5}&&\pink{\text{add }} \pink{5} \text{ to both sides}\\ \\ t&=204\end{aligned}
210(t−5)
210
210(t−5)
t−5
t−5+5
t
=41790
=
210
41790
=199
=199+5
=204
divide both sides by 210
add 5 to both sides
Hint #55 / 5
The equation is 210(t-5)=41790.210(t−5)=41790.210, left parenthesis, t, minus, 5, right parenthesis, equals, 41790, point
MacDonald's farm initially had 204204204 orange trees.
Related content
Steve, a restaurant owner, pays $2.75 per
pound for organic lettuce. He also pays
$50 for the lettuce to be delivered to his
restaurant. About how many pounds of
lettuce can Steve purchase &nd have
delivered for $220?
Answer: About 62 pounds of organic lettuce
2.75x+50=220
Solve for x
x=61.81(repeating)
Type the correct answer in each box. Use numerals instead of words. Find the missing side and angle measures in triangle ABC. Round your answers to the nearest tenth. Scalene triangle ABC with side AC labeled 23 and side BC labeled 15. Angle A measures 40 degrees. The measure of angle B is approximately . The measure of angle C is approximately . The length of side AB is approximately
The measures of the angles of the triangles are
The measure of ∠B = 80.3°
The measure of ∠C = 59.7°
The length of side AB = 20.2 units
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of side AC = 23
The measure of side BC = 15
The measure of ∠A = 40°
From the law of sines , we get
( sin A ) / a = ( sin B ) / b = ( sin C ) / c
Substitute the value of A and a in the equation , we get
sin ( 40 )° / 15 = sin B / 23
On simplifying the equation , we get
sin B = ( 23/15 ) x sin ( 40 )°
Now , m∠B = 80.27°
So , the measure of angle ∠B = 80.3°
And ,
The interior angles of a triangle is 180°
So , The measure of angle ∠C = 180° - ( 80.3° + 40° )
On simplifying the equation , we get
The measure of angle ∠C = 59.7°
Now ,
From the law of cosines , c² = a² + b² - 2ab ( cos C )
Substitute the value of a , b and cos C in the equation , we get
c² = 15² + 23² - 2 ( 15 ) ( 23 ) cos ( 59.7 )°
On simplifying the equation , we get
c² = 225 + 529 - 348.12363
c² = 405.87
Taking square roots on both sides of the equation , we get
c = 20.156
c = 20.2 units
Therefore, the measure of side AB = 20.2 units
Hence , the measures angles of triangle is solved
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__________ are designed so that the objective of the test is not apparent to the test taker. A. Projective tests B. Source errors C. MMPI tests D. 16PF tests Please select the best answer from the choices provided A B C D
Projective tests are created so that the test taker cannot tell what they are testing for.
What is Projective tests?Projective tests are created so that the test taker cannot tell what they are testing for.A personality test used in psychology is called a projective test. This kind of test provides answers to confusing situations, phrases, or visuals. Unconscious motivations or attitudes are disclosed by asking the person a question or giving them a stimulus that is unclear. Projective exams are designed to enlighten individuals about sentiments, wants, and conflicts that are not readily apparent to them. Psychoanalysts try to find unconscious feelings that might be behind a person's troubles in life by evaluating responses to ambiguous stimuli. Projective testing is mostly used to evaluate personality functioning.To learn more about Projective tests refer to:
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Use the distributive property to simplify the expression
6(8x+5)
Step-by-step explanation:
6(8x+5)
Use the distributive property to multiply 6 by 8x+5.
48x+30
Hope it Helps!
Which statement correctly describes this picture?
Anyone know this? I’m a wee bit brain dead any help is appreciated
Answer:
I believe this is the only answer I got from you bro.
hope it helps.
Kim paid $33 for 2 shirts and $48 for 3 shirts including a fixed shipping fee assuming the same function applies to any numbers of shirts bought how much in dollars would 1 shirt cost before the shipping fee
Answer:
33=2x+y, 48=3x+y
Step-by-step explanation:
Sorry my internet isn't working well. Go to math-way and put that in and it will give you the answer :)
PLEASE HELPP
If A and B are supplementary angles and
m/B = 54, find m/A.
Answer:
m∠A=126°
Step-by-step explanation:
Supplementary means that they add up to 180°.
Therefore we can do 180-54 to get 126° for the m∠A.
Hope this helped! :)
How do you describe a logarithmic function?
A logarithmic function is a type of inverse function.
A logarithmic function is a type of inverse function that is commonly used in mathematics and science. It is typically written in the form of y = log base b (x), where b is the base of the logarithm, and x is the input value. The most common bases for logarithms are 10 (common logarithm) and e (natural logarithm).
The logarithmic function is the inverse of the exponential function with base b. This means that if y = log base b (x) then x = b^y
One way to describe a logarithmic function is to say that it represents the exponent to which the base number must be raised in order to produce the input value x. For example, log base 10 of 100 is 2, because 10^2 = 100.
Another way to describe a logarithmic function is to say that it is a way of expressing very large or small numbers in a more manageable form. For example, instead of expressing a number like 10^9 as 1 billion, it can be expressed as 9 using a logarithm to base 10.
It is also important to note that logarithmic function have some key characteristics such as:
The domain of a logarithmic function is x>0, since the logarithm of a non-positive number is undefined.
The range of a logarithmic function is all real numbers.
The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.
A logarithmic function is increasing over its domain and concave down.
The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.
Overall, logarithmic functions are mathematical tools that allow us to simplify the representation and manipulation of very large and small numbers, and are used in many areas of science and engineering.
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A car on a Ferris wheel with a radius of 20 feet. To the nearest foot, how far does the car travel over an angle of pi/3 radians? (Include the unit of measure in your response.)
Answer:21
Step-by-step explanation:
The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet
In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle expressed as:
C = 2πr
r is the radius of the fairy wheel
Given the following parameters
radius = 20 feet
Substitute into the formula of the circumference:
[tex]C = 2(3.14)(20)\\C = 40(3.14)\\C = 125.6 feet[/tex]
This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet
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Mr. Mason paints his fence on Monday, Tuesday, Wednesday, and Thursday. It takes him a total of 6 2/4 hours to paint his fence. Write a digit in each box to show how many hours he could have painted each day.
When Juan commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 31 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, what percentage of his commutes will be between 22 and 40 minutes?
Answer: 95%
Step-by-step explanation:
i kinda slayed
Using the empirical rule, for normal distribution is 68 % of his commutes will be between 23.5 and 32.5 minutes
What is normal distribution?The normal distribution is a probability distribution used to calculate probability for continuous variables.
Here, we have,
to find what percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule:
Now, since gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes, we need to find the percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule.
First, we need to find how many standard deviations away from the mean each value is using the z-score
Z = (x - μ)/σ where
x = value,
μ = mean and
σ = standard devation
For x = 23.5, we have
Z = (x - μ)/σ
Z = (23.5 - 28)/4.5
Z = -4.5/4.5
Z = -1
Z = -1σ
Also, for x = 32.5, we have
Z = (x - μ)/σ
Z = (32.5 - 28)/4.5
Z = 4.5/4.5
Z = 1
Z = 1σ
So, we have that -1σ ≤ (x - μ) ≤ 1σ
So, the values between 23.5 and 32.5 minutes lie within one standard deviation.
Using the empirical rule, this is 68 % of the values.
So, 68 % of his commutes will be between 23.5 and 32.5 minutes
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complete question:
when gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes. using the empirical rule, what percentage of his commutes will be between 23.5 and 32.5 minutes?
Find the volume of each solid. Round to the nearest tenth if necessary. Use 3.14 for or
22/7
A : 14.7 m3
B : 3.7 m3
C : 4.7 m
D : 6.7 m3
Answer:
1.1^2 = 1.21
1.21 x 3.14 = 3.7994
3.7994 x 2.9 = 11.01826
11.01826 divided by 3 = 3.67275333333 rounded = 3.7 m3
State who is correct
And
Describe the mistake the other student made
Answer:
Sebastian is correct
Step-by-step explanation:
George is wromy because where he had to simplify:
+ 5 - 8 ( which is the same as - 8 + 5 ), he added the two numbers (5 and 8) which is not supposed to be so. He should have rather subtracted the 8 from the five which will be + 5 - 8 = 3. This then makes Sebastian correct as he subtracted the two numbers.
Which equation is the slope intercept form of this equation?
y - 4 = -2 (x – 5)
a- x = - 2y + 3
b- 2x + y = 6
c- y = -2x + 14
d- y – 4 = -2x + 10
Answer:
C
Step-by-step explanation:
Y - 4 = -2x + 10 Multiply -2 to the inside the brackets
Y = -2x + 14 Add the 4 over
Jackson used all the butter to make the brownies. If each brownie is 19 1 9 of a batch, how many brownies did he make? Enter your answer in the box.
Answer:
9 brownies
Step-by-step explanation:
Since we are not given the total number of batches. Let us assume the total batches is 81
If each brownie is 1/9 of a batch, number of brownie made will be equivalent to:
Amount of brownie made = 1/9 × 81
Amount of brownie made = 81/9 = 9 brownies
Hence he made 9 brownies
how to solve x-y+x/2 (if x=10, y=1)
find three fifth of Ghana cedis 200
Answer:
Hi.
three fifth of 200 is 120.
The light blue askes for the word form, the green says g= -1, the yellow askes for possible solutions, the purple wants how you shade the number line.
Please help!!!!!!!!!!!!!!!!!!!!!
Answer: get yio colors straightv
Step-by-step explanation:
Fill in the blank: If a number is located to the left
of another number on the number line, that
number is ____ the other number
Answer:
smaller/ less than
Answer:
less than
Step-by-step explanation:
On a number line, the values go from least to greatest, left to right. So if you go towards the left, the number is decreasing.
solve for x.
please help with this problem i am really bad at geometry!! will give thanks
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
[tex] \frac{12x + 8 - 4x + 4}{2} = 50[/tex]
[tex] \frac{8x + 12}{2} = 50[/tex]
[tex]8x + 12 = 100[/tex]
[tex]8x = 88[/tex]
[tex]x = 11[/tex]
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a Question 18 options: A) kite. B) trapezoid. C) hexagon. D) parallelogram.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Option (d) is the correct choice.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A parallelogram has the following qualities:
The opposing sides are equally spaced and parallel.
Angles on either side are equal.
The following or neighboring angles are supplemental.
All of the angles will be at right angles if any one of them is a right angle.
The two diagonals cut across one another.
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Rudy says that the sum of the measures of the exterior angles of a regular hexagon is 720°. Is Rudy correct? Why or why not?
Answer:
Yes, Rudy is correct
Explanation:
Number of sides of a hexagon = 6
The sum of all interior angles of a polygon with n sides = (n-2)*180
Here, since a regular hexagon has 6 sides, n = 6
= (6 - 2)*180
= 4*180
= 720 degrees
Hope it helps :)
Have a great day!
Choose the type of variation that relates the variables in the table.
Answer:
Multiply the x by 5 to get the y
*HELP PLEASE*
In circle J with HJK = 146", find the HLK.
A) 214°
B) 73°
C) 292°
D) 46.5°
Answer:
B. 73°
Step-by-step explanation:
Which line L has a slope of zero?
Answer:
D
Step-by-step explanation:
GradientA Gradient is also called a slope of a line, which represents how steep a line is.
Formula of slope: Vertical difference ÷ Horizontal difference
For a slope to be zero, the line must be horizontal.
SolutionBased on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.
HELP DUE IN 10 MINS!
Find the value of x and y in the kite below.
x=?? degrees
y=?? degrees
Answer:
Diagonals of a kite are perpendicular.
x = 90° - 58° = 32°y = 90° - 22° = 68°A can of carrots weighs 15/16 of a pound. One serving of carrots is ¼ of a pound. How many servings are in the can of carrots?
Answer:
Step-by-step explanation:
How many carrots are in a can? is that the question ? :DDDDD
15/16 and 1/4 = 4/16 sooo
4*3 = 12
so three full servings and one that is 3/4 full
so 3
Decide whether the rates are equivalent.
$16 for 4 pounds
$1 for 4 ounces
O Equivalent
O Not equivalent
[tex]4x ^{2} \: 6xy \: 8y ^{2} [/tex]
Answer:
[tex]192x ^{3} y ^{3} [/tex]