The equation that models the number of female eastern bluebirds observed, b, and t, the total number of eggs laid is t = 5b
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Let we take:
b = the number of female eastern bluebirds observed
t = the total number of eggs laid
Since the relationship between b and t is forming a line, so it can be modeled by linear equation.
Here, we take 'b' as independent variable, and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:
[tex]t = mb + c[/tex]
For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.
Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.
and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5
Thus, the equation is:
[tex]t = 5b + c[/tex]
At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:
[tex]5 = 5(1) = c\\c = 5-5=0[/tex]
Thus, the relation between t and b is t = 5b + 0= 5b
Thus, the equation that models the number of female eastern bluebirds observed, b, and t, the total number of eggs laid is t = 5b
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Watch help video Given mn, find the value of x. (6x-3)⁰ (2x+13)°
Answer:
x = 4
Step-by-step explanation:
(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.
(6x - 3)° = (2x + 13)°
6x - 2x = 13 + 3
4x = 16
x = 4
Substitute x for the angles.
(6x - 3)° = ?
(6*4 - 3)° = ?
(24 - 3)° = 21°
(2x + 13)° = ?
(2*4 + 13)° = ?
(8 + 13)° = 21°
Austin rented a truck for one day. There was a base fee of 14.95 and there was an additional charge of 95 cents for each mile driven. Austin had to pay 130.85 when he returned the truck. For how many miles did he drive the truck
Answer:
122 miles
Step-by-step explanation:
Let n = number of miles driven
Given:
Base fee = $14.95Charge per mile = $0.95Total cost = $130.85⇒ 14.95 + 0.95n = 130.85
Subtract 14.95 from both sides:
⇒ 0.95n = 115.90
Divide both sides by 0.95
⇒ n = 122
Therefore, he drove 122 miles.
Ashley has scored 81, 74, 72, and 93 on her previous four tests. What score does she need on her next test so that her average (mean) is 79?
Answer:
75
Step-by-step explanation:
Add 81, 74, 72, and 93 together
add 75 to that total
divide by 5
9) Farmer Joe has lots of rabbits and lots of predators on his farm. Only 3 out of every 10 rabbits live
long enough to reproduce. At this rate, how many rabbits will there need to be in order for 27 of them to
reproduce?
Step-by-step explanation:
you will need 10 for every 3 rabbits so if you count in tens and three's
3=10
6=20
9=30
and so on..
when you get to 27 you'll be at 90
27=90
hope u understand :>
The box-and-whisker plot below represents some data set. What percentage of the
data values are between 90 and 110?
HELP
Answer:
25 percent; each section of the box plot counts as 25%
The value of percentage of the data values are between 90 and 110 is,
⇒ 50%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The box-and-whisker plot below represents some data set.
Now, We get;
Range of data set = 130 - 90
= 40
Hence, The value of percentage of the data values are between 90 and 110 is,
⇒ (110 - 90)/40 x 100
⇒ 20/40 x 100
⇒ 50%
Thus, The value of percentage of the data values are between 90 and 110 is,
⇒ 50%
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if x is a positive integer, what is the length of the hypotenuse triangle C?
Answer:
c = 12.73
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = [tex]\sqrt{162}[/tex]
c = 12.7279221
c = 12.73
Mark brainliest please!
What is the area of this triangle? Please help
150 cm2
210 cm2
315 cm2
420 cm2
Answer:
[tex]B.210\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\Length\ of\ the\ base=35\ cm\\Length\ of\ the\ perpendicular\ dropped\ to\ the\ base=12\ cm\\We\ know\ that,\\Area\ of\ triangle=\frac{bh}{2}\\ Here,\\Area\ of\ triangle=\frac{12*35}{2}=6*35=210\ cm^2[/tex]
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
How much more does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a mixed number in simplest form
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
What is dot plot or line plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
Note that the value of 1/4 is 0.25 which is less than the value of 1/2 which is 0.5.The value of 3/4 is 0.75.In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.
The difference between these values is,
[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]
Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
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I do not know how to do this! Please help me!
This figure is made of part of a circle and part of a square. What are the perimeter and the area of the figure? Use paper if it helps you with your thinking.
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Perimeter of given figure is equal to :
Perimeter of square - side length + quarter Circumference of the circle
that is :
[tex]\qquad \sf \dashrightarrow \:(10 \times 4) - (5 + 5) + \dfrac{2 \pi r}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:40- 10 + \dfrac{3.14 \times 5}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30+ \dfrac{15.7}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30 + 7.85[/tex]
[tex]\qquad \sf \dashrightarrow \:37.85 \: \: units[/tex]
So, the required perimeter is 37.85 units
There are 20 train cars and 182 wheels how many wheels per car
Jackie had both chocolate cake and coconut cake at her birthday party. There were 25 people at the party, and 40% of them picked chocolate cake. How many people picked chocolate cake?
AND PLEASE NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ali and Keesha found a sale in a sporting goods store. Ali spent $33 on 2 pair of shorts and 3 packages of socks. Keesha spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?
Answer: shorts cost $12 and socks cost $3
Step-by-step explanation:
What is the area of this shape?
Find area of a rectangle and then subtract 2 triangle shapes from the top.
12 x 13 = 156
1/2 x 3 x 7 = 10.5
1/2 x 4 x 6 = 12
area = 156 - 10.5 - 12 = 133.5 square units
Write the equation of the line which passes through the point (6, 1) and
is perpendicular to the line y = 3x - 2:
Answer : Look at the right hand side of the page y = 1/3x + 3
First seven terms of the geometric series 5 - 25 +125-....
-5, 10 ,-20 ,40 value b
Step-by-step explanation:
fold -2
40×(-2) = -80 ........
How many solutions are there to the equation below?
√x = -5
A. 2
OB. 1
OC. 0
OD. 25
A square root cannot be equl to a negative.
answer: C. 0
On the last day of each school year, the principal of a middle school records the number of students enrolled. In 2016, there were 960 students enrolled Excem 2016 to 2017, enrollment increased by 5%. From 2017 to 2018, enrollment decreased by approximately 5%. How many students were enrolled in the school at the end of 2018?
A) 864
B) 958
C) 960
D) 1,056
Answer:
D
Step-by-step explanation:
i hope you uderstand stand why it D
An odd degree has no maximum or minimum. True or False?
Answer:
answer is false in my opinion not sure
1
What is the quotient of 6 and -1/2?
Answer:
The answer your looking for is 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i took the test
Solve for x: −2(x − 2)2 + 5 = 0 Round your answer to the nearest hundredth.
Answer:
x = 3.25
Step-by-step explanation:
-2(x - 2) * 2 + 5 = 0
Open parathesis
(-2x + 4) * 2 + 5 = 0
Open parenthesis again
-4x + 8 + 5 = 0
-4x + 13 = 0
-4x = -13
Divide -4 on both sides
x = 13/4
x = 3.25
Answer:
-4x+8+5=0
-4x=-13
4x=13
x= 13/4
x=3.25
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
Answer:
3lb 4oz and .5T=1000lbs
Step-by-step explanation:
1 lb = 16 oz 3×16=48 then +4 = 52 and 1T=2000lbs 2000 ÷ 2=1000
Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=
Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19
How do I solve this on my calculator to get the radius?
Answer:
step by step lang Po keep learning
Find the product write the product as a whole number or a mixed number 3/10 x 65
Answer:
[tex]19 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{3}{10} \times 65 = \frac{3}{10} \times \frac{65}{1} = \frac{195}{10} = 19.5 = 19 \tfrac{1}{2} [/tex]
The required simplified value of the given product is a mixed value 19 1/2.
Given that,
To determine the product write the product as a whole number or a mixed number 3/10 × 65.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3/10 × 65
= 195/10
= 19.5
=19 1/2
Thus, the required simplified value of the given product is mixed value 19 1/2.
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PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS
Answer:
radius and number rotation
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².
What is the area?The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.
The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,
[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]
Substitute the dimensions we will get,
[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]
[tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]
Hence, the total surface area of this triangular prism is 1,782 cm².
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-3(6-2)+|-4| Divided by 2
Answer:
-4
Step-by-step explanation:
3(6-2)+|-4| / 2
=-8/2
=-4
All four triangles are similar, and two of the triangles are also congruent to each other. Drag the correct unit side lengths and angle measures to te corresponding boxes. Note that some values may be approximate.
Answer:
Step-by-step explanation:
I get everything correct
Mr. Jone's algebra class has to manny students in it. If the class were split in equal parts to form 3 new classes, each class would have no more than 14 students in it
Answer:
42 students in total
Step-by-step explanation:
we could surmise that the question wishes to find the minimum number of students who had been in Mr. Jone's algebra class, so we let 'x' represent the original count of students in the class and we have the following inequality:
14 <= x/3
x >= 42
the class had no less than 42 students