Answer:
Given: Population of ducks in lake, last year is 60.
Also, the population of ducks this year decreased by 1/4 th over the last year.
So, the population of ducks this year is = 60*(1-1/4)
= 60*(3/4)
= 45
Therefore, the population of ducks this year is 45 ducks.
(a) two lawn car companies are competing for a landscaping contract. company a charges $250 monthly consulting fee plus $10 per square foot of landscaping, whereas company b charges a $90 monthly consulting fee plus $12 per square foot of landscaping. for how many square feet of landscaping will the two companies charge the same amount?
Total charge by company A for 80 sq.feet = 250+10(80)= $1050
Total charge by company B for 80 sq.feet = 90+12(90)=$1170
Let x be the no.of square feet for landscaping
Company A
Monthly consulting fee = $250
Cost of landscaping of 1 sq.feet = $10
Cost of landscaping of x sq.feet = $10x
So, Total charge by company A = 250+10x ---1
Company B
Monthly consulting fee = $90
Cost of landscaping of 1 sq.feet = $12
Cost of landscaping of x sq.feet = $12x
So, Total charge by company B = 90+12x ---2
Now we are supposed to find how many square feet of landscaping will the two companies charge the same amount
So, Equate 1 and 2
250+10x = 90+12x
160=2x
80=x
So, the two companies charge the same amount for 80 sq.feet
Total charge by company A for 80 sq.feet = 250+10(80)= $1050
Total charge by company B for 80 sq.feet = 90+12(90)=$1170
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in a data set of 1,2,3,3,4,4,4,4,5,5,6,70 what is the standard deviation?
We need to know the concept of mean and standard deviation to solve the problem.The standard deviation of the data set is 18.36
The given dataset is 1,2,3,3,4,4,4,4,5,5,6,70, inorder to find the standard deviation of the data set we need to first find the mean of the dataset. Mean of a dataset means the average of the set of numbers. We divide the sum of all the numbers in the data set by the size of the set. We represent mean by μ.
μ=[tex]\frac{1+2+3+3+4+4+4+4+5+5+6+70}{12} =\frac{111}{12} =9.25[/tex]
Standard deviation measures the dispersion of a dataset relative to it's mean, the square of standard deviation is variance.
The formula for standard deviation is :
σ=[tex]\sqrt{\frac{(1-9.25)^{2}+(2-9.25)^{2} +...+(70-9.25)^{2} }{12} } =\sqrt{\frac{68.0625+52.5625+78.125+110.25+36.125+10.5625+3690.5625}{12} } \\=\sqrt{\frac{4046.25}{12} } =\sqrt{337.1875} =18.36[/tex]
Thus we found the standard deviation of the data set to be 18.36
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please help me I really need it:/
Answer:
this would be c bro trust me I passed this years ago dw it used to confuse me aswell
Step-by-step explanation:
yep
What is the measure of
Answer:
30
Step-by-step explanation:
The two angles are the same size, and adding them together (15+15) equals 30.
Which choice is equivalent to the quotient below?
√32
√√2
OA. √24
√2
OB.
C. 2
OD. 4
The answer would be D. 4
because you would multiply the numerator and denominator by the conjugate.
The unknown shape numbers
The following weights are listed below:
A red circle has a weight of 20 units.A yellow rhombus has a weight of 8 units.A green trapezoid has a weight of 7 units.A dark blue square has a weight of 6 units.A light blue triangle has a weight of 5 units.The sum of the weights of a red circle, a yellow rhombus and a green trapezoid is equal to 35 units.
How to solve a system of linear equation behind a weight system
In this question we find a case of abstract thinking, in which we find a weight system at equilibrium. There are the following variables below:
x - Weight of a red circle.
y - Weight of a purple cross.
r - Weight of an orange star.
u - Weight of a dark blue square.
v - Weight of a yellow rhombus.
w - Weight of a green trapezoid.
z - Weight of a light blue triangle.
And the resulting system of linear equations is:
x + y = 24 (1)
y + v = 12 (2)
u = 6 (3)
2 · r = 6 (4)
1.5 · v + 2 · u = 24 (5)
0.5 · v + w + r + 2 · z = 24 (6)
u = z + 1 (7)
By (3):
u = 6
By (4):
r = 3
By (7):
z = 5
And the reduced system of linear equations is:
x + y = 24 (1)
y + v = 12 (2)
1.5 · v = 12 (5)
0.5 · v + w = 11 (6)
By (5):
v = 8
By (6):
w = 11 - 0.5 · v
w = 11 - 4
w = 7
By (2):
y = 12 - v
y = 12 - 8
y = 4
By (1):
x = 24 - y
x = 24 - 4
x = 20
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he spaces are usually stocked with standard office [marker for question 26] equipment, such as photocopiers, printers, and fax machines.
"The spaces are usually stocked with standard office [26] equipment,
such as photocopiers, printers, and fax machines." Option A: No Change, i.e., no sentence correction is needed.
What is sentence correction?Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.
Now,
When giving particular examples of something you're describing, we utilize the phrase "such as."Unless the example comes right at the end of the sentence, use a comma before "such as" and after your examples if they are not crucial to the truth of your sentence. A comma should only be used before "such as," not after it, as the examples of office equipment are near the end of the phrase while being crucial to its content. As a result, Option A is correct and no correction is necessary.To learn more about sentence correction, refer to the link: https://brainly.com/question/14632568
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a company has a competition to win a car. each contestant needs to pick a positive integer. if there’s at least one unique choice, the person who made the smallest unique choice wins the car. if there are no unique choices, the company keeps the car and there’s no repeat of the competition. it turns out that there are only three contestants, and you’re one of them. everyone knows before picking their numbers that there are only three contestants. how should you make your choice?
Each participant selects 'a' with a probability of (1/2)^a;
the lowest particular wonderful integer (LUPI) recreation is a recreation that, relying on who you ask and while 12 months you ask it, has either been pretty thoroughly studied or no longer studied in any respect. There seem to be a few wonderful solutions; for instance, one symmetric mixed method is as follows if all integers are approved:
What is probability explain?
probability is a measure of the chance of an event to arise. Many activities can't be expected with total fact. we will predict handiest the chance of an event to occur i.e. how possibly they are to happen, using it
probability is the department of mathematics regarding numerical descriptions of ways probably an event is to occur, or how in all likelihood it is that a proposition is genuine. The opportunity of an occasion is various among zero and 1, where, more or less speakme, zero indicates impossibility of the event and 1 suggests truth
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Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of
the corresponding side of the other triangle?
014
021
02
0 10/
Answer:
10 1/2
Step-by-step explanation:
The side of the smaller triangle has a length of 7, the larger triangle will be:
= (7 × 3)/2
= 10 1/2
Answer the question in photo [ Brainliest + easy points ]
Answer:
TU = 27
Step-by-step explanation:
ST + TU = SU
(8x - 11) + (14x - 15) = 19x - 17
8x - 11 + 14x - 15 = 19x - 17
22x - 26 = 19x - 17
22x - 19x = 26 - 17
3x = 9
x = 3
TU = 14x - 15 = 14(3) - 15 = 27
Buehrer selll equipment. she earns 5% commission on the first 3,000, 8% pm the next 6,000 and 10% on sales over 12,000. her total sales for the month are 19,743 what is her total commission
The total Commission Buehrer earns is 1404.3.
Given, Commission on first 3000 sales is 5% and commission on next 6000 sales is 8% and the commission she get when done a sales over 12000 is 10%.
She did a total sales of 19743.
Total Commission = (5% of 3000 )+ (8% of 6000)+(10% of (total sale - 12000))
Total commission = (150)+(480)+(10% of (19743-12000))
Total commission = (150)+(480)+(10% of (7743))
Total commission = (150)+(480)+(774.3)
Total commission =1404.3
Hence Total commission she earns for the sales in the month is 1404.3.
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f(t)=4t-2 g(t)=2t+2 Find (3f-4g)(t)
Solving the Question
We're given:
[tex]f(t)=4t-2[/tex][tex]g(t)=2t+2[/tex][tex](3f-4g)(t)=?[/tex][tex](3f-4g)(t)[/tex] is the same as [tex]3f(t)-4g(t)[/tex]. Now, we can just plug in the functions as if they're variables in an equation.
[tex]3f(t)-4g(t)[/tex]
[tex]= 3(4t-2)-4(2t+2)\\= 12t-6-8t-8\\= 4t-14[/tex]
Answer[tex](3f-4g)(t)= 4t-14[/tex]
DUE TODAY
Geometry bisects
Using the bisection concept, we have that the measure of angle AXB is of 160º.
What is the bisection of an angle?A bisection of an angle is the formation of a ray that divides the angle into two equal parts.
For this problem, we have that:
Ray XE bisects angle DXB, since m<EXB = 20º, m<DXB = 2 x 20º = 40º.Ray XD bisects angle CXB, since m<DXB = 40º, m<CXB = 2 x 40º = 80º.Ray XC bisects and AXB, since m<CXB = 80º, m<AXB = 2 x 80º = 160º.Hence the measure of angle AXB is of 160º.
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a. Find the perimeter of the figure of the following is true:
a=x+7
b=2x+2
c=8x
d=x+10
b. What is the perimeter of the figure in part (a) if x=4?
Answer:
a=11, b=10, c=32, and d=14.
Step-by-step explanation:
Answer:
67 units
Step-by-step explanation:
Perimeter of a shape is the sum of all sides.
Perimeter = a + b + c + d
= x +7 + 2x + 2 + 8x + x +10
= x + 2x + 8x + x +7 + 2 + 10
Combine like terms,
= 12x + 19
Now, substitute x = 4 in the above expression,
= 12*4 + 19
= 48 + 19
= 67
PLEASE HELPPP
Subject: Trigonometry
By using the trigonometric function of cosine, we conclude that the length of the hypotenuse is approximately equal to 7.2 units.
How to determine the length of the hypotenuse by trigonometric functions
Right triangles are triangles such that one of its internal angles is a right triangle. Fundamentally, trigonometric functions are relationships between two distinct sides of a right triangle.
The picture show that the length of one leg and the measure of the angle between that leg and the hypotenuse are known, but the length of the hypotenuse does not. By using concepts of trigonometric functions, we can find the length of the hypotenuse by using the cosine function:
cos θ = s / x
cos 33° = 6 / x
x = 6 / cos 33°
x = 6 / 0.839
x ≈ 7.154
The length of the hypotenuse is approximately equal to 7.2 units.
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A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate. (3 points)
Part B: Find the falcon's rate in meters per hour. (4 points)
Part C: Rearrange the distance formula, d = rt, to solve for time. (3 points)
Please I really need this right now please
A) The rearranged formula is:
r = d/t
B) Using the above formula we can see that the rate is 25,000 m/h.
C) Here we have the linear equation:
d = (25,000 m/h)*t
How to solve the formula for the rate?Here we need to use the formula:
distance = rate*time.
To solve this formula for the rate, we need to divide both sides by the time, so we will get:
rate = distance/time.
Writing this with the given variables:
r = d/t.
b) Now we know that the distance is 800,000 meters and the time is 4 hours, then the rate will be:
r = 100,000m/4h = 25,000 m/h
The rate is 25,000 meters per hour.
c) Now we wil get the linear equation:
d = r*t
d = (25,000 m/h)*t
This linear equation gives the distance traveled in a time t.
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Part A:
Rearrange the distance formula, d = rt, to solve for rate. The distance formula is given by d = rt, where d is the distance traveled, r is the rate at which the distance is being traveled, and t is the time taken to travel the distance.
To solve for rate, we can rearrange the formula as follows: d = rt d/t = r [dividing both sides by t] r = d/t
Therefore, the formula for rate is r = d/t.
Part B: Find the falcon's rate in meters per hour. Given that the falcon flies 800,000 meters in 4 hours, we can use the formula for rate to find its speed. r = d/t r = 800,000/4 r = 200,000 meters per hour.
Therefore, the falcon's rate is 200,000 meters per hour.
Part C: Rearrange the distance formula, d = rt, to solve for time. To solve for time, we can rearrange the formula as follows: d = rt t = d/r [dividing both sides by r]
Therefore, the formula for time is t = d/r.
Pt. B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36
Find x.
Hint: Draw a picture.
a
b
C
Od
15
9
45
27
The required value of x in the proportion of the line is 9.
Given that,
B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36
To determine the value of x in the proportion of line.
A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.
Here,
B is the point lies between A and C on line segment AC
So,
AC = AB + BC
AB + BC = 36
x + 2 + 2x + 7 = 36
3x + 9 = 36
3x = 27
x = 27 / 3
x = 9
Thus, the required value of x in the proportion of the line is 9.
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Alison and Brett bought their first home 7 years ago for $350 000. They recently sold the house for $550 000. Which is the correct profit expressed as a percentage of the purchase price?
profit is 20000 and profit percent is 5.79
Question 1 of 10
What is the slope of the line that contains the points (-1, 2) and (4, 3)?
Answer:
1/5 = slope of line
Step-by-step explanation:
Here, slope = rise/run = (larger y value) - (smaller y-value)/(larger x -smaller x)
Here we get slope = rise/run = (3 - 2) (4 - [-1]) = 1/5 = slope of line
Absolute Value
-2 l3dl =4
Answer -2|3d| = 4
Step-by-step explanation:
no solution
Please help with problem 18
Algebra 1
The value of x is -1 and the values on both sides are the same, hence the equation has infinite number of solution
Solving Linear equationLinear equations are equation that has a leading degree os 1. Given the equations below:
-x +4 = x + 6
Collect the like terms
-x - x = 6 - 4
-2x =2
Divide both sides by -2
-2x/-2 = 2/2
x = -1
For the expression
5n + 7 =. 7(n+1) - 2n
5n + 7 = 7n + 7 - 2n
simplify
5n - 5n = 7 - 7
0n = 0
Since the values on both sides are the same, hence the equation has infinite number of solution
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What is 1.83 as a fraction?
Answer:
183/100
Step-by-step explanation:
hope this works :)
Answer:
183/100 as a fraction of 1.83
If 3x6 = 15, then x =
Answer: + or - in between the 3x and 6? Can be either 7 or 3
Step-by-step explanation:
3x+6=15.
Subtract '6' on both sides.
3x=9.
Divide by '3'.
x=3
3x-6=15.
Add '-6' on both sides.
3x=21
Divide by '3'.
x=7
Again, it solely depends on your sign in between the first two numbers.
two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain
Two lines are cut by a transversal such that a pair of alternate interior angles are right angles, then the two lines are parallel.
Following are the condition that satisfies to make two lines parallel,
When a transversal cuts two lines so that their opposing exterior angles coincide, the lines are said to be parallel. When a transversal cuts two lines so that their subsequent interior angles are supplementary, the lines are said to be parallel. Two lines are parallel to one another if they are both parallel to the same line. Parallel lines are those that never cross and always lie at the same distance apart. Both lines need to be parallel (in the same plane). The symbol for parallel lines is written as two thin parallel lines in geometry shorthand, as ∥. A transversal that crosses two parallel lines creates alternate interior angles. They form two pairs (four total angles) of alternating internal angles since they are situated between the two parallel lines but on different sides of the transversal.Learn to know more about parallel lines on
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Please help with 2. And 3. I took a picture
Answer:
Step-by-step explanation:
its ratio
Help!
Least to greatest,
Aceelerated 7th grade math!
Must be correct
Thank you!
Lengths (mm)
Frequency
200 - 209
1
210 - 219
16
220 - 229
71
230 239
108
240 - 249
83
250 - 259
18
260 269
3
What is the lower class boundary for the first class?
class boundary =
Enter an integer or decimal number
Answer:
270 9764
359
548
69
80
554
331
594
850
667
216
8674
213
253
5
3
64
7
45
692
213
649
8574
6646
549
837
849
What is the acceleration in this graph?
Answer:
70 m / 40 seconds = 7/4 m/s or 1.75 m/s
Step-by-step explanation:
the line stops at 0.7 time = 40 seconds
70 m / 40 seconds = 7/4 m/s or 1.75 m/s
please help
7/8 times 1 1/2
2 3/4 divided by 2/3
Answer: 7/8 times 1 1/2 is 21/16 or 1.3125 in decimal
2 3/4 divided by 2/3 is 33/8 or 4.125 in decimal
PLEASE HELP ME, IM BEGGING, IM ACTUALLY GOING TO CRY IF I GET THIS WRONG. A family camping in a national forest builds a temporary shelter with a tarp and a 4-foot pole. The bottom of the pole is even with the ground, and one corner is staked 5 feet from the bottom of the pole. What is the slope of the tarp from that corner to the top of the pole?