Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = [tex]\frac{5+1}{k-4}[/tex] = [tex]\frac{6}{k-4}[/tex] = - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
i need help please and thanks a lot
Step-by-step explanation:
[tex] \huge \: K = \frac{1}{2} m {v}^{2} \\ \\ \huge \: 2 K =m {v}^{2} \\ \\ \huge \purple{ \boxed{m = \frac{2 K}{ {v}^{2} } }}[/tex]
Gabe bought 8 bananas at the market for $1.84. Lucy bought 6 bananas at the grocery store for $2.10 . One banana at the grocery store is $ _______________ more than one banana at the market.
Answer:
one banana at the grocery store is 12 cents more than on banana at the market
Please help! x=6 and b=3 5(x+b)-b
Answer:
the answer to the question above is 42
Step-by-step explanation:
5(6+3)-3=42
Answer:
42!
Step-by-step explanation:
5(6+3)-3
30+15-3
45-3
42!
Hope I helped! :D
The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x
Answer:
X= 19
Step-by-step explanation:
If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.
Find the distance between the points (3,6) and (10,4). The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex]\sqrt{53} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,6) and (10,4).
The distance is
[tex]d = \sqrt{ ({3 - 10})^{2} + ({6 - 4})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {2}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: [/tex]We have the final answer as
[tex] \sqrt{53} \: \: \: units[/tex]Hope this helps you
When can you use proportional reasoning to solve a problem? A: When two quantities add to 1 B: When one quantity is a constant multiple of the other C: When the two quantities multiplied equal a constant D: When one quantity is 1 more than the other
Proportional reasoning is a form of 'operational reasoning' based on
Piaget's theory.
Proportional reasoning can be used to solve a problem; B. When one
quantity is a constant multiple of the other.
Reasons:
Proportional reasoning is the reasoning based on the cognition that a
relationship exists between the multiples of the variables in the problem,
such that the magnitude of a variable can implied from the changes made
to the relationships connecting the variables.
An example of proportional reasoning is the distance travelled, d, after a
given time, t, at a constant velocity, v;
d = v·tTo judge the distance travelled, a constant, v, multiplies the time, t, such
that, at a longer time, it can be reasoned that the distance travelled is
much further.
Therefore;
Proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.Learn more here:
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Options B and C are the correct conditions under which you can use proportional reasoning to solve a problem:
Proportional reasoning is a mathematical concept that involves understanding and solving problems that relate two or more quantities in a proportional manner. It helps us analyze and predict how changes in one quantity affect another based on their proportional relationship.
B: When one quantity is a constant multiple of the other:
In this case, if one quantity is a constant multiple of another, it means that they are directly proportional. For example, if the quantity of oranges you buy is always twice the quantity of apples you buy, then the quantities of oranges and apples are directly proportional. Proportional reasoning can be used to solve problems related to this relationship.
C: When the two quantities multiplied equal a constant:
If the product of two quantities remains constant, regardless of their individual values, they are inversely proportional. For instance, if the time taken to complete a task is inversely proportional to the number of people working on it, as the number of people increases, the time taken decreases. Proportional reasoning can be used to solve problems involving inverse proportionality.
In summary, proportional reasoning is used when two quantities are directly or inversely proportional to each other, i.e., when one quantity is a constant multiple of the other or when the product of the two quantities remains constant.
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Honon spent 3 hours on homework yesterday while Sequoia spent
2 hours on homework. How much more time did Honon spend on homework than
Sequoia??
answer FAST
5x-2=3x+4
which one?
x=1
x=2/3
x=-3
x=3
Answer:
x=3
Step-by-step explanation:
Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x-2=3x+4[/tex]
We want to solve for x, therefore we must isolate x on one side of the equation.
First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.
[tex]5x-3x=3x-3x+6[/tex]
[tex]5x-3x=6[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
x is equal to 3 and the correct answer is D. x=3
0.28 + 0.2x = 1.5 ÷ 3 · 6.2 − 1.3
HELP ME PLS HELP FAST DIE IN 5 MIN
Answer:
158 cm2
Step-by-step explanation:
surface area = (6×5)+2(8×5)+(8×6) = 158 cm2
how does a triangular prism look
Answer:
its like a 3d rectangle triangle
Step-by-step explanation:
yes
8 + 4x = 2x + 8 + 2x
Answer:x=0
Step-by-step explanation:
Answer:
0 = 0
True
Step-by-step explanation:
[tex]8 + 4x = 2x + 8 + 2x[/tex]
Collect like terms
[tex]8-8 =2x+2x -4x\\[/tex]
Simplify
[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]
How can I Solve this ?
The scale is 1:500 the students cell model has a length of 15 Cm.
How many cm is the real cells length
A. 33cm
B. 0.002
C. 0.03
D. 7500 cm
Answer:
Option C - 0.03 cm
Step-by-step explanation:
The model has a length of 15 cm.
Now, we are told that the scale is 1:500. This means that 1 unit is represents 500 cm on the model.
Since the length on the model is 15 cm which is 15 units, then the true length would be;
15 × 1/500 = 0.03 cm
Therefore, the true length is 0.03 cm.
Option C is correct
Answer:
0.03 cm
Step-by-step explanation:
The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.
Answer:
we know
perimeter of triangle = sum of all sides
here lengths of sides are consecutive integers so
length of three sides = x, (x+1) and (x+2)
now
Perimeter = 111
or, x + (x+1) + (x+2) = 111
or 3x + 3 = 111
or 3x = 108
x = 36
x = 36
(x+1) = 36 + 1 = 37
(x+2)= 36 + 2 = 38
helppp!! i need help with this question
Answer:
I believe it would be A
Step-by-step explanation:
Please help me understand
How to go from a percent to a decimal and please put an explanation and example. If you do not know the answer then don’t respond. I really need to understand this! Please
Example :When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
Which equation represents a line which is parallel to the line y=-3/4 x -2
Answer: Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.
Step-by-step explanation:
A parallel line has the same slope as the original line. Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.
The equation y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2
What is a linear function?A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.
The slope of the given line can be found as;
A parallel line has the same slope as the original line. Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.
Any equation that is of the form y = -3/4x + b,
where b is a real number, will be parallel to the equation.
y = -3/4x - 2.
m = -3/4
The equation y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2
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5 (n - 14) =2 (n + 14)
Answer:
n= 98/3
Step-by-step explanation:
1. Complete distributive property *5(n-14)* and *2(n+14)*
5n-70=2n+28
2. Subtract 5n from both sides
-70=-3n+28
3. Subtract -70 from both sides
-98=-3n
4. Divide the variable from both sides *-3n*
-98/-3
5. Simplify
98/3
Final Answer:
98/3
At the Tucson Zoo, Jason spends $6.00 to enter the zoo and $2.00 per animal to feed them. Meanwhile, at the Phoenix Zoo, Kim spends $15.00 to enter and $1.00 per animal to feed them.The equation 6 + 2x = 15 + x represents this situation. How many animals do they need to feed in order to spend the same amount?
PLEASE ANSWER QUICKLY
Answer:
3 animals
Step-by-step explanation:
combine like terms 6 + 2x = 15 + x -6 + x - 6 - x--------------------------
3x = 9
2. divide both sides by 3
3x/ 3 = 9/3x = 3If we decrease the time it takes for a car to travel over the same distance, this will (2 points) increase the speed have no effect on velocity or speed decrease the speed decrease the velocity
Answer:
Increase the speed
Step-by-step explanation:
The only way to decrease the time it would take to travel over a distance would be to increase the speed.
Answer:
see below
Step-by-step explanation:
if time decreases.... the velocity will decrease.
ex.
d = v/t
100 m = v/10 sec v = 1000 m/s
100 m = v/5 sec v = 500 m/s
100 m = v/1 sec v = 100 m/s
therefore,
if we decrease the time it takes for a car to travel over the same distance,
the velocity decreases too.
2p +5q = 21
3p-2q=-16
Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
What is the quotient of 9.5 divided by 2
the answer is 4.6 because I divided it
The quotient of the division are solved and A = 9.5/2 = 4.75
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
where the value of p = 9.5
Let the denominator of the fraction be q
where q = 2
Now , the fraction is A = p/q
On simplifying the expression , we get
So , the left hand side of the equation is equated to the right hand side by the value of p/q
A = 9.5/2
On further simplification , we get
A = 4.75
Therefore , the value of A = 4.75
Hence , the fraction is A = 4.75
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5 degrees below zero
Answer:
5 degrees below zero = -5 degrees
to pass a course with an a grade a student must have an average of 90 or greater. a student's grade's on three tests are 83 91 and 86. find what score the student must get on the next test to get an a average
Answer:
90
Step-by-step explanation:
Find total marks needed for a 90.
90 x 4 = 360 marks
Then, add up the marks on the three tests.
83+91+86 = 260 marks
Finally, subtract from the 360 marks needed.
360 - 260 = 100
Thus, the student needs to score 100 marks in order to get a 90.
Joes mother gave him 1/3 of the money in her purse. His father gave him 5.00. If they gave joe a total of 12.00, How much money did his mother have in her purse. Joes mother had $ money in her purse (Enter a number only and make sure to include the decimal and 2 numerical decimal places.)
Answer:
$21Step-by-step explanation:
let the money in her purse be $x
1/3 of the money is 1/3x
Since his father gave him $5 and the total amount became $12
the expression for the total amount would be
12= 1/3x+5
We can now solve for x
12-5= 1/3x
1/3x= 7
cross multiply we have
x= 7*3
x= $21
Therefore the money in joes mother's purse is $21
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
Answer:
1.5<x<4 i hope this is right sorry if its not
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer:
$9.45
Step-by-step explanation:
1. First, you want to figure out how much one text message costs. To do this, divide the dollar amount (28.20) by the number of text messages (188). You get 0.15, or $0.15 per text message.
2. Using this $0.15 per text message, you can calculate how much 63 text messages costs. You simply multiply $0.15 by 63 to get $9.45, which is your answer.
Hope this helps! :)
PLEASE HELP!! (click on the pic)
Answer
-8x^2+14x+14
Step-by-step explanation:
instructions included above :)
Answer:
-2(4x-3)(x-1)
or -8x²+14x-6
Step-by-step explanation:
(-8x²+10x+4)-(-4x+10)
-8x²+10x+4+4x-10
Combine like terms:
-8x²+14x-6
What is the value of x?
4 3
11
36
16
0 17/
7
16
Answer:..Step-by-step explanation: