Answer:
780
Step-by-step explanation:
So when you're adding consecutive numbers like this. 1+2+3...+39. You add 39 and 1. This is 40. 2+38 is 40. This is a pattern. Now, we do 40 multiplied by 39 and this will give you the number 1620. After this you would have to divide this product by 2. The answer will soon be 780.
You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.
Complete Question:
You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.
The initial heights are shown.
Write a system of linear equations that represents this situation.
Answer:
[tex]s(x) = 8 + 4x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Step-by-step explanation:
Given
Spruce Tree (s):
[tex]Initial\ Height = 8[/tex]
[tex]Growth = 4[/tex] (yearly)
Hemlock Tree (h):
[tex]Initial\ Height = 14[/tex]
[tex]Growth = 6[/tex] (yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
[tex]Equation = Initial\ Height + Growth * x[/tex]
For Spruce Tree (s):
[tex]s(x) = 8 + 4 * x[/tex]
[tex]s(x) = 8 + 4x[/tex]
For Hemlock Tree (h):
[tex]h(x) = 14 + 6 * x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Step-by-step explanation:
3+5=8
40÷8=5
5x5=25 girls
5x3=15
Answer:
the number of girls are 16
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour?
Answer:
The amount of water leaking per hour is 3/4 of the bucket volume
Step-by-step explanation:
The given parameters are;
The volume of water in the bucket = 3/10 of the bucket volume
The time duration of the leak = 2/5 hour
Therefore;
The leak rate = Volume/Time
The amount of water leaking per hour = (3/10 of the bucket volume)/(2/5 hour)
The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume/hour.
The amount of water leaking per hour is [tex]\frac{3}{4}[/tex] of the bucket volume.
Given ;
The volume of water in the bucket = [tex]\frac{3}{10}[/tex] of the bucket volume
The time duration of the leak = [tex]\frac{2}{5}[/tex] hour
Therefore;
The leak rate = [tex]\frac{volume }{time}[/tex]
The amount of water leaking per hour = ( [tex]\frac{3}{10}[/tex] 0f the bucket volume)/([tex]\frac{2}{5}[/tex] hour)
= ( [tex]\frac{3}{10} . \frac{5}{2}[/tex] ) volume per hour
The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume per hour.
For more details about volume and rate change click the link given below.
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Find the slope of the following graph 1) 0 2) No slope 3) 1
Answer:
it is 0
Step-by-step explanation:
hope it helps <3
Using the slope concept, it is found that this graph has a slope of 0.
Given two points (x,y) on a linear graph, the slope is given by the change in y divided by the change in x, that is:
[tex]m = \frac{\Delta_y}{\Delta_x}[/tex]
In this question, two of the points are: (1, 1.5) and (2, 1.5). Then, the slope is:
[tex]m = \frac{\Delta_y}{\Delta_x} = \frac{1.5 - 1.5}{2 - 1} = \frac{0}{1} = 0[/tex]
This graph has a slope of 0.
A similar problem is given at https://brainly.com/question/5029023
On the Guardian lines a and B
Answer:
2 and - 1
Step-by-step explanation:
Calculate the gradients using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A
[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B
[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
10.9 as a fraction or mixed number
sup help me plz owo owo
Answer:8x^2-4x-5
Step-by-step explanation:just subtract
Answer:
I got 8x^2-4x-5 but I'm not super sure
Step-by-step explanation:
Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4
Answer:
653
Step-by-step explanation:
Q3.
The length of a car is 3.6 metres.
Karl makes a scale model of the car.
He uses a scale of 1 cm to 30 cm.
Work out the length of the scale model of the car.
Give your answer in centimetres.
The length of the scale model of the car is 120 cm
Working out the length of the scale model of the car.From the question, we have the following parameters that can be used in our computation:
Length of a car = 3.6 meters
We have the scale to be
Scale = 1 cm to 30 cm
This means that
Scale = 1 cm : 30 cm
using the above as a guide, we have the following:
Scale : 3.6 meters = 1 cm : 30 cm
So we have
Scale = 3.6 m * 1 cm/30 cm
Evaluate
Scale = 0.12 m
Convert to cm
Scale = 120 cm
Hence, the length of the scale model of the car is 120 cm
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590 ÷ 5 with the remainder of what
Answer:
118 r0
Step-by-step explanation:
590/5=118
there is no remainder
hope this helps :3
if it did pls mark brainliest
PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
(−5, 5)
(0, 3)
(0, −2)
(1, 1)
(3, −4)
Answer:
(0,-2) and (1,1)
Step-by-step explanation:
The solution points at the intersection of what is above the orange line and belothe blue line.
(-5, 5) is only in the orange zone so X
(0,3) is on the blue line that is doted so X
(0,-2) is on the orange line that is solid so ✅
(1,1) is in the orange and blue so ✅
(3,-4) is in the blue zone only so X
Answer:
hoi
Step-by-step explanation:
Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)
Answer:
y = 1/4 x - 31/4
Step-by-step explanation:
Slope (m) = 1/4
Point A (-1, -8)
y = mx + b
-8 = 1/4 (-1) + b
-8 + 1/4 = b
b = -32/4 + 1/4
b = -31/4
y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in
y = 1/4 x + - 31/4
y = 1/4 x - 31/4
Which of the following equations is correct? select three that apply
A) 0.12 = 4/33
B) 0.4 = 2/5
C) 0.54 = 6/11
D) 0.7 = 7/9
E) 0.83 = 5/6
F) 0.91 = 41/45
Answer:b,e,f
Step-by-step explanation:
The correct equations are:
B) 0.4 = 2/5
D) 0.7 = 7/9
E) 0.83 = 5/6
To determine which of the following equations is correct, we need to compare each decimal value to its equivalent fraction. Here are the correct equations:
B) 0.4 = 2/5
D) 0.7 = 7/9
E) 0.83 = 5/6
B) 0.4 is equivalent to 2/5 because 0.4 means 4 tenths, and 2/5 also represents 4 tenths (2 parts out of 5).
D) 0.7 is equivalent to 7/9 because 0.7 means 7 tenths, and 7/9 also represents 7 tenths (7 parts out of 9).
E) 0.83 is equivalent to 5/6 because 0.83 means 83 hundredths, and 5/6 also represents 83 hundredths (5 parts out of 6).
The remaining options (A, C, and F) are not correct as their decimal values do not match their corresponding fractions.
To know more about equations:
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Graph the linear equation y = 2
Answer: Please look at the steps to see the answers.
Step-by-step explanation:
The line y= 2 has a slope of 0 meaning that for any input of x the results will always be 2.
This means the the graph will be a horizontal line through the point, (0,2)
You can also use this table to graph it;
x y
0 2
1 2
2 2
3 2
4 2
5 2
6 2
-1 2
-2 2.
How can Lakota describe the data on the dot plot?
Choose all that apply.
spread
gap
peak
color
size of dots
cluster
Answer:
a,b,c,f
Step-by-step explanation:
The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.
What is the dot plot?A statistical chart called a dot chart or dot plot is made up of data points that are represented on a very basic scale, usually using filled-in circles. The dot chart comes in two widely used but quite different forms.
A statistical chart made up of data points drawn on a relatively basic scale is known as a dot diagram, sometimes known as a dot plot. One of the simplest statistical plots is the dot plot, which is typically applied to tiny data sets. They can be used to draw attention to outliers, gaps skew in the distribution and clusters.
The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.
More about the dot plot link is given below.
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A 15 W electric shaver is used for 3 minutes. How much energy does it use?
pleas help will mark brainlest the choices are at the bottom
Answer:
1. x is greater than -1
2. x is less than or equal to -1
3. x greater than or equal to -1
4. x is less than -1
Step-by-step explanation:
The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line
You should join my zoom call
2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65
Answer:
Associative Property
Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers
please answer this friends
Answer: 6/9
Step-by-step explanation:
1) 2/3 + 3/4=5/7
2) 1/2+5/7=6/9
3) Did this help
Plz help! (picture below) Will mark brainliest or correct one!
You mean like graph? Yeah.
Write in Function form
[tex]\frac{y-3}{x-6}=2\\y-3=2(x-6)\\y=2(x-6)+3\\y=2x-12+3\\y=2x-9[/tex]
So (y-3/x-6)=2 does represent "line"
[tex]\frac{y-6}{x-4}=5[/tex]
multiply x-4 all side.
[tex]y-6=5(x-4)[/tex]
Notice how the equation is similar to "Tangent" so it's clearly a line.
About reasoning, No idea how to explain but this might help...
Whenever you get rid of the fraction part, it'll leave only y-f(a)=f'(a)(x-a) which is a Tangent Line (It explains it.)
And when you simplify in Function Form, you'll get an exact linear function "[tex]y=mx+b[/tex]"
Pls I need help !!!!!!!!!
Answer:
b=100 and c=100
Step-by-step explanation:
Because 100 is across a no value which is also 100 because they are the same and the b and c sides too so they both are 100
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[tex]100° + b = 180°[/tex]
Because they make straight line.
Also ;
[tex]100° + c = 180°[/tex]
Thus :
[tex]b = c[/tex]
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[tex]100° + b = 180°[/tex]
Subtract sides 100°
[tex] - 100° + 100° + b = 180° - 100° \\ [/tex]
[tex]b = 80°[/tex]
So ,
[tex]b = c = 80°[/tex]
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serious answers only pls n ty!
Which graph represents the solutions to this equation?
x2 + 8x = -20
Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]
To make this easier, to get ride of the fractions, we can multiply both sides by 4
[tex]2(x+15) = 8 + 3(x-4)[/tex]
now use the distributive property
[tex]2x + 30 = 8 + 3x - 12\\[/tex]
now we want to isolate x to one side and isolate all the constants to the other
[tex]2x - 3x = 8 - 12 - 30\\[/tex]
now simplify
[tex]-x = -34\\x = 34[/tex]
to test, we can plug in back to the original
[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]
it works
3x+15=6x the property of this
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 6x
Solve using inverse operations
3x + 15 = 6x
-3x -3x
15 = 3x
/3 /3
x = 5
You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60
Answer:
C
Step-by-step explanation:
22.00*0.08=1.76
22.00+1.76 = 23.76
Answer:
c
Step-by-step explanation:
22*0.08=1.76
the total would be the cost plus tax
22+1.76=23.76
hope this helps :3
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -9 2 -13 3 -17 4 -21
Answer:
3
Step-by-step explanation:
The linear function or equation in the slope-intercept form will be y = -4x - 5.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
The linear function is given as,
y = mx + c
Here, m is the slope while c is the y-intercept.
Slope m = (-13 + 9)/(2 - 1)
m = -4
Put m = -4, (1,-9)
-9 = -4(1) + c
c = -5
y = -4x - 5
Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".
For more about the linear function,
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Is this function linear or nonlinear?
Answer:
nonlinear
Step-by-step explanation:
sorry if im wrong
Answer:
Linear
Have a great day! :)
Find the value of 2 - 3x when x = 7 PLEASE HELP ME :(
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
replace x with seven then simplify
Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?
Answer:
We expect 900 students to borrow library books
Step-by-step explanation:
Proportions
If two variables are proportional, then one of them can be obtained as the other times a fixed number.
If x and y are proportional, then:
y=k.x
Where k is the constant of proportionality
The value of k can be obtained by dividing y/x.
That division, also called ratio gives us the proportion to be applied to future calculations.
In Sophia's class, 3 out of 4 students borrowed library books.
This gives us a proportion ratio of 3/4.
If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have
3 / 4 * 1200 = 900 students borrowing library books.
We expect 900 students to borrow library books
can you help me figure out how to graph f(x)=-5x+4 with a picture of the graph