Answer:
18
Step-by-step explanation:
w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:
w = kz
When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:
12 = 4k
Dividing both sides by 4:
12/4 = 4k/4
k = 3
Therefore the equation becomes:
w = 3z
The value of w when z = 6 is given as:
w = 3(6)
w = 18
slope-intercept from two points (4,-8) and (8,5)
Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
________
Answered by James
write equivalent fractions for 3/5 and 1/4 using 20 as the common denominator
Answer:
12/20=3/5 5/20=1/4 so the answer would be 12/20 + 5/20
Hope this helped you!!
Equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.
Define equivalent fractions.A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.
[tex]\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}[/tex]
[tex]=\frac{12}{20}[/tex]
[tex]\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}[/tex]
[tex]=\frac{5}{20}[/tex]
So, equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.
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Which sum does the model below represent?
4 positive tiles and 7 negative tiles.
4 + (negative 7) = negative 3
4 + 7 = 11
8 + (negative 3) = 4
11 + (negative 4) = negative 3
The sum the model below represents will be 4 + (negative 7) = negative 3. Option A is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the expression is 4 positive tiles and 7 negative tiles. We have to apply summation for the given expression,
Expression is the combination of constants and variables with mathematical operators.
The model is algebraically solved as,
=4+(-7)
= -3
Thus, the sum the model below represents will be 4 + (negative 7) = negative 3. Option A is correct.
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What are parallel lines cut by a transversal?
Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?
Answer:
$7.80
Step-by-step explanation:
$2.60 * 3 = $7.80
Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how old is Nicholas?
Answer:
Step-by-step explanation:
Henry is 3 more than twice Nicholas' age. You can write this as :
H = 3 + 2N
Marcus is 9 less than 6 times Nicholas' age:
M = 6N - 9
Since Henry and Marcus are twins, this means H = N.
3 + 2N = 6N - 9
Add 9 to both sides
12 + 2N = 6N
Subtract 2N from both sides
12 = 4N
Divide both sides by 4 to find N.
N = 12/4 = 3
What is (5+3i) - (2-8i) give your answer in standard form
Answer:
5+3i-2+8i
(5-2)+(3+8)i
3+11i
Please help me :( someone anybody just once I won’t ask again
Answer:
1) 77
2) -11
3) -11
4) 7
5) 29
Step-by-step explanation:
Just sub the x into the equation.
*I recommend checking my answers, but this is what I would put/
the product of 120 and b is equal to 312
Write the sentence as an equation.
Answer:
120 + b = 312
Step-by-step explanation:
...
Helpppppp it’s middle school stuff
Answer: Melendez
Step-by-step explanation:
If you divide the amount of water each family uses by the ammountof people in the family, melendez has the lowest per person.
Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. This is the graph Jada gets if she allows s to take on any value between 0 and 7.5. What would be a more appropriate domain for Jada to use instead?
Answer:
A more appropriate domain would be all real numbers except x = 5.5
Step-by-step explanation:
Given that the domain of a rational function consists of the set of real numbers but excluding those real numbers that results in a zero in the denominator
The given graph of the function has a vertical asymptote at s = 5.5 which indicates a value for which the function is not defined and at x = 5.5, and as such the value (5.5) of the asymptote is not a member of the function's domain
The values of the domain of a function consisting of a reciprocal must exclude does that result in a zero denominator.
The domain of the function that represents Jada's trip is the set of input value the function can take
The appropriate domain is: all real numbers except x = 5.5
From the graph, we can see that:
The x-value starts at negative infinity, and ends near 5.5The x-value then continues near 5.5, and ends at positive infinityThis means that the input of the graph cannot be 5.5
Hence, an appropriate domain would be: [tex]\mathbf{x \ne 5.5}[/tex]
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
o 2
o 3
o 4
o 5
liniar systems
3x-2y=-7
2x+5y+=8
Answer: 3x-2y=-7= Slope = 3.000/2.000 = 1.500
x-intercept = -7/3 = -2.33333
y-intercept = 7/2 = 3.50000
2x+5y+=8
Slope = -0.800/2.000 = -0.400
x-intercept = 8/2 = 4
y-intercept = 8/5 = 1.60000
Step-by-step explanation:
how far does alex swim
Answer:
24 meters
Step-by-step explanation:
How do you do long division
Answer:
look at links below
Step-by-step explanation
Name the longest and shortest side in the triangle.
Answer:
the answer is C Because the lm is the long side and mn is the short side
Can you Help me out?!
Answer:
3/4
Step-by-step explanation:
choose the best decimal equivalent to 14/25.
Answer:
0.56
Step-by-step explanation:
To find the decimal equivalent, we can divide the numerator and denominator together.
14 ÷ 25 = 0.56
Best of Luck!
how many solutions does a independent system of equations have?
Answer:
one solution
An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.
Step-by-step explanation:
You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup
Answer:
A
Step-by-step explanation:
how I solved it was 4x3=12
Answer:
A.
Step-by-step explanation:
That is 1/4 * 1/3 = 1/12,
What is the slope of the line that passes through the points (-2, -1)
and (2, -3)? Write your answer in simplest form.
Plug this into the formula y2 - y1 / x2 - x1
-2 = x1, x2 = 2, y1 = -1, y2 = -3
-3 - (-1) / 2 - (-2)
-2 / 4
-1/2
The slope is -1/2.
What is equivalent to ³√27a³b⁷
Answer:uu
Step-by-step explanation:
As the exponent on the base 10 increases, does
the standard notation number get larger or
smaller in value? Explain why.
Help Please
Answer:
Since the exponent on 10 is positive, I know they are looking for a LARGE number, so I'll need to move the decimal point to the right, in order to make the number LARGER. Since the exponent on 10 is "12", I'll need to move the decimal point twelve places over.
First, I'll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:
3.6 _ _ _ _ _ _ _ _ _ _ _ .
Then I fill in the loops with zeroes:
3.600000000000.
In other words, the number is 3,600,000,000,000, or 3.6 trillion
Step-by-step explanation:
[tex]10^{x}[/tex]
Where:
10 = Base 10
x = Exponent
When the exponent on the base 10 increases, the standard notation number gets larger in value. This is because the exponent is directly proportional to the size of the standard notation of the number.For example:
[tex]10^{2} = 100[/tex]
[tex]10^{3} = 1000[/tex]
[tex]10^{8} = 100000000[/tex]
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In the table shown, the ratio of miles biked to hours biked is constant.
Answer:
B
Step-by-step explanation:
You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.
The proportion 44/4=m/7 can be used to determine the value of m.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of miles biked to hours biked is constant.
The given table is
Miles biked 11 44 m 132 165
Hours biked 1 4 7 12 h
We have to find the value of m.
m is the number of miles biked in 7 hr.
By using the proportion we can find m.
44/4=m/7
11=m/7
Apply cross multiplication
m=77
Hence, the proportion 44/4=m/7 can be used to determine the value of m.
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James and Tyree have new jobs at YumYum’s Ice Cream Parlor. James is Tyree’s manager. In their first year, James will be paid $14 per hour and Tyree will be paid $7 per hour. They have been told that after every year with the company, they will each be given a raise of $2 per hour. Is this realationship porprotional?
Answer:
No.
Step-by-step explanation:
(h represents the hours; y represents years; m represents the total money they'd get!)
If you put this into an equation, for James it would be:
14h +2y = M
For Tyree, it would be:
7h + 2y = M
Because the numbers don't match up, the answer is no. The relationship is not proportional.
Translate this sentence into an equation.
Goran's height increased by 13 is 48.
Use the variable g to represent Goran's height.
Answer:
g+13=48
Step-by-step explanation:
if 2x – 1 is a factor of 16x4
24x3 + 2x + f, find f.
Answer:
f = -5
Step-by-step explanation:
If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.
If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.
2x - 1 = 0
2x = 1
x = 1/2
Hence
f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f
= 16(1/16) + 24(1/8) + 1 + f
= 1 + 3 + 1 + f
= 5+ f
f = -5
how do i solve this?
If you bring 2 pairs of shoes, 10 items of regular clothes, and 2 coats, how much will your bag weigh?
The weight of the bag =
Weight of 2 pairs of shoes + weight of 10 items of regular clothes + weight of 2 coats.
What is weight?A weight characteristic is a mathematical tool used when appearing a sum, critical, or average to provide some factors extra "weight" or impact on the result than different factors within the equal set.
What is the value of weight?
Weight Value is the basis of the overall progress calculation processes used to determine the weight of each phase in the project. It is measured based on the distribution of weight values and obtained by multiplying the weight value of each task in the project.
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reduce your answer to its lowest term 15/16 - 8/16
Answer:
7/16
it can't be reduced