For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
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Solve for x.
45(x−310)=−214
Enter your answer as a mixed number in simplest form in the box.
x =
The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
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brian says that 8n+2=82 when n=1 explain why he is incorrect
Use the Distributive Property to
simplify the following:
7(y + 3) =
Answer:
7y+21
Step-by-step explanation: i solve it hope this help.
Answer:
[tex]\bold{7y+21}[/tex]
Step-by-step explanation:
Hi there!
Let's solve this math problem by using the Distributive Property.
All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):
[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]Hope it helps! Enjoy your day!
~ Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
7x+20=7x+20
help asap
step by step please
Answer:
The given equation is true for all x.
Step-by-step explanation:
Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?
Answer:
33343555
4
3
4
34
2354555444
5224
34
32555555
555
5
32
55233=3=44
Step-by-step explanation:
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
Answer:
16
Step-by-step explanation:
Because 25 - 9 = 16
Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?.
The residual column is given by the difference between the given values
and the values from the fitted line.
The values of a and b are; a = -0.4 and b = 0.18Reasons:
The line of best fit equation is; y = 2.55·x - 3.15
The 4-column table is presented s follows;
[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]
Required:
The values of a and b
Solution;
The residual is given by the difference between actually observed value and the predicted value
RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b
Where;
[tex]y_i[/tex] = The given value at point i
[tex]x_i[/tex]·b = The predicted value at point i
Therefore;
At x = 1, the residual = -0.7 - (-0.6) = -0.1
At x = 2, the residual = 2.3 - 1.95 = 0.35
At x = 3, the residual = a = 4.1 - 4.5 = -0.4
Therefore;
a = -0.4At x = 4, the residual = b = 7.2 - 7.02 = 0.18
Therefore;
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These are already solved but can someone explain how we got them, steps please! I really need it..
Answer:
1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term
* so you have to put the like terms together to solve the equation
*then you say 9x 3 first because it is the biggest number (I think)
* then you put 5x 2 and 2x 2 together and 3x and x together too
* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)
:9x 3 + 7x 2 +2x
Note:in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible
haha
and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together
Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.
Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.
Please help me I need help with solving this equation worth 30 points
Answer:
1. -20
2. 27
3. 36
4. -200
pleaseeeeeeeeee helppppppppp meeeeeeeeeee
Answers:
FunctionNot a functionFunctionNot a function========================================
Explanation:
If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).
Relations 1 and 3 don't have this issue, so they are functions.
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade
Answer:
33 cars please give Brainliest
(4 x 100,000) + (6 x 10.000) =
Answer:
answer is 400060
have a good day!!
If it's help pls give me Brainliest
tysm
Answer:
4000,060
answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060
The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
What is the slope of the line?
7x + 2y=5
A. 7/2
B. -7/2
C. -2/7
D. 2/7
Answer:
B) -7/2
Step-by-step explanation:
You would have to convert to slope-intercept form.
[tex]y=mx+b\\[/tex]
7x+2y=5
2y= -7x+5
y= -7/2x+5/2,
m= -7/2 = slope
I need help with question 5
Answer:Hi!
where is the question?
Step-by-step explanation:
I am stuck. The screenshot will explain
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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What is Probability in Math? - Definition & Overview
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Chapter 24 / Lesson 7
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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
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write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
What is the solution to the equation 1/4x−3/4=1/2, given the replacement set {−1, 1, 5} ?
Answer:
x=5
Step-by-step explanation:
I took the test. Hope this helps
The solution of the given equation is when the x = 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}
First, substitute the values from the given set;
When x = -1
1/4x−3/4=1/2
1/4(-1) − 3/4 = 1/2
-1/4 - 3/4 = 1/2
-4/4 = 1/2
-1= 1/2
This is not the solution to the given equation.
When x = 1
1/4x−3/4=1/2
1/4(1) − 3/4 = 1/2
1/4 - 3/4 = 1/2
-2/4 = 1/2
-1/2 = 1/2
This is not the solution to the given equation.
When x = 5
1/4x−3/4=1/2
1/4(5) − 3/4 = 1/2
5/4 - 3/4 = 1/2
2/4 = 1/2
1/2 = 1/2
This is the solution to the given equation.
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helpppppppppppppppppppppppppppp
What do you need help with? Are you in danger?
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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