Answer:
4/15 = height of lamp/(15+5)
4/15 = height of lamp/20
20/15 = 1 5/15
1 5/15 times taller
Write the equation of the line given the slope and the point that it passes through.
m = 2/7
point = (1, 2)
Answer:
slope (m)= 2/7
X1= 1
y1= 2
formula from equation of the line:
1. Y2 - Y1/ X2 - X1 ( if you know 2 point )
2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )
3. mx + c = y ( if you know the slope and the y-axis )
because the known gradient and 1 point, then use the formula number 2.
let's get into the formula:
y - y1= m × (x -x1)
y - 2 = 2/7 × ( x - 1 )
y - 2 = 2/7x - 2/7
y= 2/7x - 2/7 + 2
y = 2/7x + 12/7
A 12-ounce bag of chips costs $2.88. What is the unit rate per ounce of chips A $0.17 O B. $0.24 OC. $0.25 OD $0.42
Answer:
B (I think)
Step-by-step explanation:
$2.88 divided by 12 is 0.24
5,7,9 i need help asap, step by step plss if possible :)
Answer:
5 yes
7 yes
9 no
Step-by-step explanation:
(4*7)^x is 28 which is greater than 0 and not equal to one.
Same with 7
9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero
Answer:
i need some points sorry not sorry
It says Find out the value of x
Answer:
x=31, x=31, x=21.
Step-by-step explanation:
So for number 33, we see that 2x+28=90 degrees so you just simplify the equation to 2x=62, x=31.
For number 34, we see that 4x+56=180 (flat line), so we simplify the equation again and get 4x=124, x=31 degrees.
For number 35, according to the vertical angle theorem, 43=2x+1, so we simplify that too and we get 42=2x, 21=x, x=21.
Need help see pictures for details
Answer:
plot the points
(-4, 2.5) (-3, 3) (-2, 1.5) (-1, 2) (0, 1)
(1, 2) (2, 3.5) (3, 0.5) (4, 2.5)
Step-by-step explanation:
does that help any???
what is the percent of 7/10
Answer:
7/10= 0.7 = 0.70 = 70%
Step-by-step explanation:
If you multiply them together you get 70, this only works if it is /10.
Which set of coordinates describes a function?
A {(2, -4), (-2, - 7), (0, 2), (-3, 8)}
B {(8,9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D{(8,3), (-8, -4), (2, 7), (2, 2)}
what is the percent 12 of 30
40%
We get: 40% of 30 is 12.
Is this true?
Yes! 40% of 30 = (0.4)(30) = 12
Write the equation of the line with the given slope and y-intercept.
slope: 3
y-intercept: -6
Answer:
y=3x-6
Step-by-step explanation:
y=mx+B
y replaces the b
the slope replaces the m
-3x-5<10 Equations
Answer:
x>-5
Step-by-step explanation:
First, we need to isolate the variable. To start doing this we can add five to both sides. We now have -3x<15. We then have to divde by -3. When working with inequalites you flip the inequality sign when dividing by a negative number. That then leaves us without answer, x>-5.
What is an equation of the line that passes through the point (4,-3) and is perpendicular to the line x-2y=2?
Answer: 2x+y+11=0
Step-by-step explanation:
The equation of given line is x-2y-2=0
Slope of given line is (m1)= - coefficient of x÷coefficient of y
m1= -1÷-2 =1÷2
Let slope of required line be m2.
Since the two lines are perpendicular,
So,
m1×m2= -1
or, 1÷2×m2 = -1
m2 = -2
The required line is passing through (4,-3)
Using two points slope form,
y-y1 = m(x-x1)
or, y-(-3)= -2(x+4)
or, y+3= -2x -8
or, 2x+y+3+8 = 0
2x+y+11 = 0 which is required equation of line.
Find the measure of the numbered angle.
m∠3 =
Answer:
<3 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
<1 + 40 + 90 = 180
<1 + 130 = 180
<1 = 50
<1 and <3 are vertical angles and vertical angles are equal
Error Analysis: Henry incorrectly said the rate 1/2 over 1/4 can be written as the unit rate 1/8 pound per quart.
What is the correct unit rate? What was Henry's likely error?
Answer:
1/2 = 2/4 = 4/8
Step-by-step explanation:
his error was probably that he only change the denominator since there all even
plzz help mee!!! chess club every 4 days. He goes to soccer practice every 3 days. If he has both activities today, in how many days will he first have both activities again?
Answer:
12 days
Step-by-step explanation:
4x3=12
At a party there are 3 pizzas to share. If each pizza has 8 slices, determine how many pieces each child will receive if 12 kids attend the party. Now what if 8 kids attend?
Answer: your answer is 3
Step-by-step explanation: if you multiply 3 and 8 you get 24 divide that by 8.
The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of pizzas at the party = 3 pizzas
The total number of slices in 1 pizza = 8 slices
So , the number of slices in 3 pizzas = 3 x 8 slices
The number of slices in 3 pizzas = 24 slices
Now , the equation will be
The number of children attended the party be = A
The value of A = 12 children
So , the number of pizza slices each child gets = number of slices in 3 pizzas / number of children attended the party
Substituting the values in the equation , we get
Number of pizza slices each child gets = 24 / 12
Number of pizza slices each child gets = 2 slices each
Therefore , if there are 12 children , the number of slices of pizzas each child receives is 2 slices
Now , if the number of children is B = 8
Number of pizza slices each child gets = 24 / 8
Number of pizza slices each child gets = 3 slices each
Therefore , if there are 8 children , the number of slices of pizzas each child receives is 3 slices
Hence , The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
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1.
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 12(1.04)n
Part A: Is this a growth or decay exponential function? Justify your answer. (2 points)
Part B: What is the growth or decay percentage for this function? (2 points)
Part C: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part D: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?
Answer:
Exponential growth
4%
12
Step-by-step explanation:
Given the function :
f(n) = 12(1.04)^n
Part A: Is this a growth or decay exponential function?
The equation above is usually generally represented as :
F(n) = A(1 ± r)^n
Where F(n) = final amount after n years ; r = rate ; n = number of years
The function Given above is thus :
F(n) = 12(1 +0.04)^n
This is an exponential growth function because of the negative rate (+ 0.04)
Part B: What is the growth or decay percentage for this function
From the equation :
F(n) = A(1 + r)^n ; r = rate
Comparing F(n) = 12(1 +0.04)^n ; r = 0.04 = 0.04*100% = 4%
Part C: What does the y-intercept of the graph of the function f(n) represent?
The y intercept :
Value of F(n) when n = 0
F(n) = 12(1 +0.04)^n
F(n) = 12(1 +0.04)^0
Fn = 12(1)
Hence, intercept = 12
What is the measure of angle 3 in degrees?
0 27°
0 33°
O 60°
0 1530
Answer:
I believe D I’m not sure though
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,–8) and (-5, 4)
Bus Stop: A graph has time (minutes) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 5), (6, 8), and (12, 11). Friend's house: A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Recall that Seth's house is 17 miles from school. Which location should Seth start off at to get to school faster and how long will it take?
from the bus stop is faster, taking 17 minutes
from the bus stop is faster, taking 24 minutes
from his friend’s house is faster, taking 15 minutes
from his friend’s house is faster, taking 22.5 minutes
Answer:
from his friend’s house is faster, taking 22.5 minutes
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i just got it right :)
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answer:
The 45th term is equal to -209.
Step-by-step explanation:
I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,
aₙ = a₁+(n-1)d
1 = a₁+(10-1)(-6)
1 = a₁ + (9)(-6)
1 = a₁ - 54
a₁ = 55
Now, the 45th term for the arithmetic sequence is,
aₙ = a₁ + (n-1)d
a₄₅ = 55 + (45-1)(-6)
a₄₅ = 55 - 264
a₄₅ = -209
Hence, the 45th term for the arithmetic sequence is -209.
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Neeeeeeeeeeeeeeed help!!!!!??!??!!
Answer:
-15?
Step-by-step explanation:
It's hard to tell where the point is exactly
Which statement about parallel lines is true?
Parallel lines intersect at a 45° angle.
Parallel lines intersect at a 90° angle.
Parallel lines are always line segments.
Parallel lines never intersect.
Answer:
the last one
Step-by-step explanation:
Parallel lines never intersect.
hope this helps
PLZZ HELPP IM FAILLING THIS CLASS
I GIVE BRAINLIST
Answer:
The better deal is 8 for $7.50
4 of pack one=$25
2 of pack two=$15
Spent altogether= $40
Answer:
Which is the better deal? Pack of 8 is a better deal.
Buy 4 of Pack One: $24.40
Buy 2 of Pack Two: $11.90
How much did you spend altogether? $36.30
Step-by-step explanation:
Let's start with the Swag Bags. To figure out if something is a good price, divide the items inside of it by the price so you can get the $ per item and compare.
[tex]\frac{6.25}{6}[/tex] = $1.04 per item for Pack of 6
[tex]\frac{7.50}{8}[/tex] = $.94 per item for Pack of 8
Generally, saying "which item is the better deal" refers to which price per item is cheaper. In this case, Pack of 8 is a better deal.
Now, goodie bags.
Pack one costs $6.10 while Pack two costs $5.95.
"Buy 4 of Pack One: $" is asking for the price of 4 Pack Ones. To do this, you simply multiply the pack one price by 4, since you are buying 4 of them.
4 * 6.10 = $24.40
Same idea for Pack Two, just different price and different amount.
2 * 5.95 = $11.90
How much did you spend altogether? Add the total values for both goodie bag packs.
$24.40 + $11.90 = $36.30
PLEASE ANSWER I WILL MAKE U BRAINLIEST
Who made an incorrect statement about each rotation. Then, correct and rewrite the statement.
Answer:
Tara is incorrect.
Step-by-step explanation:
The location of X' will be (7,1)
solve the equation
48= y + 5y
48=y+5y
pretend that there is a 1 in front for the y
48=1y+5y
add the like terms first
1y+5y=6y
48=6y
divide both sides by 6 to get y by itself
48/6=6y/6
8=y
answer:
y=8
Answer:
y = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
48 = y + 5y
Step 2: Solve for y
Combine like terms: 48 = 6yDivide 6 on both sides: 8 = yRewrite: y = 8Step 3: Check
Plug in y into the original equation to verify it is a solution.
Substitute in y: 48 = 8 + 5(8)Multiply: 48 = 8 + 40Add: 48 = 48Here we see that 48 does indeed equal 48.
∴ y = 8 is a solution of the equation.
• When volleyballs are purchased, they are not fully inflated. A partially inflated
volleyball can be modeled by a sphere whose volume is approximately 180 in). After
being fully inflated, its volume is approximately 294 in. To the nearest tenth of an
inch, how much does the radius increase when the volleyball is fully inflated?
Answer:
The radius increase when the volleyball is fully inflated is 0.5
Step-by-step explanation:
Volume of Partially inflated volleyball = 180 in³
Volume of Full inflated volleyball = 294 in³
We need to find how much does the radius increase when the volleyball is fully inflated?
First we will find the radius of both Partially inflated and Full inflated volleyball. Then we will find increase in radius.
The formula for Volume of sphere is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]
Finding Radius of Partially inflated volleyball
Volume = 180
Putting values and finding radius of Partially inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\180=\frac{4}{3}*3.14*r^3\\4.186r^3=180\\r^3=\frac{180}{4.186}\\r^3=43.0\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{47}\\r= 3.6[/tex]
So, radius of Partially inflated volleyball is r = 3.6
Finding Radius of Fully inflated volleyball
Volume = 294
Putting values and finding radius of Fully inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\294=\frac{4}{3}*3.14*r^3\\4.186\:r^3=294\\r^3=\frac{294}{4.186}\\r^3=70.23\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{70.23}\\r= 4.1[/tex]
So, radius of Partially inflated volleyball is r = 4.1
Now, finding increase in radius by subtracting radius of fully inflated volleyball with partially inflated volleyball
Increase in radius of Fully inflated volleyball = 4.1 - 3.6
Increase in radius of Fully inflated volleyball = 0.5
So, the radius increase when the volleyball is fully inflated is 0.5
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
find the value of x.
I need help with this question, here's the image
Answer:
The answer Is C
y = –A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8.x + 4 x + 2y = –8 How many solutions does this linear system have?
Answer:
A
Step-by-step explanation: Took a quiz