the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8. what is the value of w
Answers
y-k = m(x-h), where (h,k) is any point on the line.
Suppose we first focus on the given point (-10,4). Let (h,k) = (-10,4).
Then y-k = m(x-h) becomes y-4 = m(x-[-10])
The other point is (-6,w), where w is the unknown we must determine.
w-4 = (1/8)(-6+10). Find w:
Mult both sides by 8 to remove the fraction 1/8:
8w-32 = -6 + 10 = 4. Then 8w = 32+4 = 36. w = 36/8 = 4.5, or 9/2 (ans.)
The value of 'w' using the given slope is [tex]\frac{9}{2}[/tex]
Given :
the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8
apply slope formula
[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values given in the points and make it equal to 1/8
[tex]slope =\frac{4-w}{-10+6}=\frac{1}{8} \\\frac{4-w}{-4}=\frac{1}{8}\\(4-w)(8)=-4(1)\\32-8w=-4\\-8w=-4-32\\-8=-36[/tex]
Divide both sides by -8
[tex]w=\frac{-36}{-8} =\frac{9}{2}[/tex]
The value of 'w' is [tex]\frac{9}{2}[/tex]
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Related Questions
During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
Answers
You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...
280 × 100 = 28,000
And then we divide,
28,000 ÷ 14 = 2000
The post office sold 2000 stamps!
Hope this helped! :)
The post office sold 2000.
To find out how many 14-paisa stamps the post office sold to make Rs.280, we need to follow a step-by-step solution.
Convert the total amount from rupees to paisas:Since the stamp's value is given in paisas.There are 100 paisas in 1 rupee.Rs.280 = 280 x 100 = 28000 paisas.The value of one stamp is 14 paisas.To find the number of stamps sold, we divide the total amount in paisas by the value of one stamp:28000 paisas ÷ 14 paisas per stamp = 2000 stamps.
What is the ordered pair for point K? A. (–4,–5)
B. (4,–5)
C. (5,–4)
D. (–4,5)
Answers
Answer: (4, -5)
Answer:
B
if you read the graph it is 4,-5
Lilia parked her 18 model cars in equal rows. 3time6. Write another way lilia could arrange her cars in equal rows
Answers
find the gradient of the line between each pair of points A(2,2) and B(6,6)
Answers
6-2
This slope is m = ------------ = 1
6-2
Jade spend $37.60 on groceries. 4/5 of that total was spent on vegetables. How much was spent on other items
Answers
divide the total spent by 5 to get what 1/5 is
37.60 / 5 = 7.52
they spent $7.52 on other items
five quarts of latex enamel paint will cover about 100 square feet of wall surface. how many quart are needed to cover 71 square feet of kitchen wall and 69 square feet of bathroom wall ?
Answers
100 / 5 = 140 / x....100 sq ft to 5 qts = 140 sq ft to x qts
cross multiply
(100)(x) = (140)(5)
100x = 700
x = 700/100
x = 7 qts <==== 7 qts will be needed
99 POINTS TOP RECORD I NEED PRO'S FOR THIS!
HELP ASAP
!! ;D
Answers
(-10.3)(2)x = 4(-10.3)(2)
cross out the same terms on both sides and you end up with x =4
2x(-10.3) = -82.4
Divide both sides by -10.3
2x = -8
Get x by itself
x = -4
Hope this Helps!
From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 1980?
Answers
Then Lior's 1980 weight, mult. by 1.25, results in his 1990 weight, or k kg.
Let his 1980 weight be w. Then 1.25w = k. Divide both sides by 1.25 to obtain w, Lior's 1980 weight:
1.25 w = k
--------- ------- = (4/5)k, or 4k/5 (answer)
1.25 1.25
Ththe weight of Lior in 1990 in terms of k is [tex]\frac{4}{5} k[/tex]
Let the weight of Lior in 1980 be "w"
If Lior's weight increased by 25%, his new weight was "k". This can be expressed as:
w + (25% of w) = k
w + (0.255w) = k
w + 0.15w = k
1.25w = k
Divide both sides by 1.25
[tex]\frac{1.25w}{1.25} =\frac{k}{1.25} \\w=\frac{k}{1.25} \\w=\frac{100k}{125} \\w=\frac{4}{5}k[/tex]
This shows that the weight of Lior in 1990 in terms of k is [tex]\frac{4}{5} k[/tex]
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CD player: $120, 20% markup (show work)
Answers
A really bad carton of 18 eggs contains 9 spoiled eggs. an unsuspecting chef picks 6 eggs at random for his "mega-omelet surprise." find the probability that the number of unspoiled eggs among the 6 selected is
Answers
Final answer:
To find the probability that the number of unspoiled eggs among the 6 selected is X, we can use the hypergeometric probability formula. This formula is used when the sample drawn is without replacement from a finite population.
Explanation:
To find the probability that the number of unspoiled eggs among the 6 selected is X, we can use the hypergeometric probability formula. This formula is used when the sample drawn is without replacement from a finite population. In this case, we have 18 total eggs in the carton, with 9 spoiled eggs. So the probability that X unspoiled eggs are selected out of the 6 can be calculated as:
P(X) = (C(X,6) * C(9,6)) / C(18,6)
Where C(n,r) represents the combination of n things taken r at a time.
i need help due tommorrow !
9/11÷13/33
what step can you take to check that your results is correct
A. multiply your results by 13/33
B. multiply your results by11/9
C. multiply your results by 9/11
D. multiply your results by 13/33
Answers
Solve each equation 4y-x=16
Answers
y= (1/4)x +4
-x = -4y + 16
x = 4y - 16
While going on a field trip, a busload of 54 students will have to be split up into three groups. two thirds will go to lunch first, and one third will go visit the exhibits. how many will go to lunch first?
Answers
Total number of students - 54
Fraction of students going to lunch first - 2/3
Fraction of students going to the exhibit first - 1/3
*Solution
1. Since the students are grouped into 3, the total number of students must be divided into 3 to determine the number of students in each of the 3 groups.
54/3 = 18
Thus, there are 18 students per group.
2. Two-thirds (2/3) of the total number of students will go to lunch first. Since the total number of students have already been divided into 3 groups, this simply means that 2 of the 3 groups will go to lunch first. Since each group has 18 students, 2 groups would have,
18*2 = 36
Thus, 36 students will go to lunch first.
is the square root of 10 greater than,less than or equal to 5
Answers
What is the prime factorization of 72?
Answers
Hope this helps have a nice nite
72 is not a prime number, but your answer would be:
[tex] {2}^{3} \times {3}^{2} [/tex]
I really hope my answer benefites you! c:
A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest earned) in an account at 8% interest for 7 years. Find the value of the investment after 11 years.
(Hint: You need to break this up into two steps/calculations. Be sure to round your balance at the end of the first 4 years to the nearest penny so you can use it in the second set of calculations.)
Answers
then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.
[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$4329.73\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &7 \end{cases} \\\\\\ A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396[/tex]
add both amounts, and that's her investment for the 11 years.
Matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.
Answers
=9000 / 3600
=2.5m/s
I hope this helps you
Answer:
2.5 m/s
Step-by-step explanation:
we have given that Matty jogs 9 km/hr
we have to convert 9 km/hr to m/s
we know, 1 km= 1000 m
and 1 hr= 60 minutes and 1 minute= 60 seconds
which implies that 1 hr=60 x 60 = 3600 seconds
now, to convert km/hr into minute/second we have to multiply it by 1000/3600 or 5/18
i.e. 9×1000/3600= 5/2=2.5 m/s
graph the linear equation. Find 3 points to solve the equations. -5x+2y=11
Answers
Another order calls for 26 widgets. The widgets comes in boxes of 5. How many full boxes of 5 do you pull? How many single items do you still need?
Answers
divide 26 by 5
26 /5 = 5.2
so 5 full boxes
5*5 = 25
26-25 = 1
so 5 full boxes and 1 single widget
For an order of 26 widgets with each box containing 5 widgets, you would pull 5 full boxes and still need 1 more single widget.
Explanation:To solve this problem, we need to find out how many full boxes of 5 widgets we can make from 26 widgets and how many single widgets we will have left. Whole number quantities, such as the number of widgets and boxes, are important here. First, we divide 26 by 5 to find out the number of full boxes. This gives us 5 full boxes with a remainder of 1, which means we have one widget left. So, we pull 5 full boxes and still need 1 more single widget.
Learn more about Dividing Whole Numbers here:https://brainly.com/question/10221961
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Can I get some points? Please ask me a very simple question like 1 plus 1 or sum and I will answer and get pts? please? Youll get 10 points lol if you have a lot can I get like 70 or sum
Answers
Answer:the answer is two double check i could be wrong
Step-by-step explanation:1 x 1 x 1 + 1 / 1 = 2
Graph the following sequence of transformations for
Answers
[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]
[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]
with that template in mind.
[tex]\bf f(x)=\sqrt[3]{x}\qquad \boxed{-f(x+2)+4}\implies f(x)=\stackrel{A}{-1}\sqrt[3]{\stackrel{B}{1}x\stackrel{C}{+2}}\stackrel{D}{+4}\qquad \\\\\\ f(x)=-\sqrt[3]{x+2}+4[/tex]
A = -1, reflected over the x-axis
B = 1, C = 2, horizontal shift of C/B or 2, to the left.
D = 4, shifted upwards by 4 units.
check the picture below.
Which best describes angelica solution
Answers
Angelica calculated the distance between the two points shown on the graph below.
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: mc010-2.jpg.
Step 4: Evaluate mc010-3.jpg
She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be mc010-4.jpg
The error that Angelica made is an error substituting the values into the Pythagorean theorem. The equation should be c² + 6² = 10²
How to use Pythagoras Theorem?
From the brainly link attached below, we can see the steps Angelica used in calculating the distance between the two points shown on the graph below.
The steps she took are;
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10² = 6² + c²
Step 4: Evaluate
From the graph and looking at the steps she took, we can say that the error that Angelica made is an error substituting the values into the Pythagorean theorem. The equation should be c² + 6² = 10²
Read more about Pythagoras Theorem at; https://brainly.com/question/9917504
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which decimal represents the fraction of candles in this group that have flames
Answers
how do i find 3/4 of 460
Answers
To find 3/4 of 460, you can divide it by 4:
460/4 = 115
115 • 3 = 345
So, 3/4 of 460 would be 345.
I really hope you found this helpful! Make sure you don't forget to multiply! :)
jose rodriguez's checking account had a starting balance of 1,234.56. he wrote a check for 115.12 for plumbing supplies and check for 225.00 for a loan payment. Yesterday he deposited 96.75 in his checking account. what jose's current balance?
Answers
Hopes this helps.
A farmer harvested 35 acres of corn and 20 acres of beans. Animals ate 1/8 of the corn he originally planted. how many acres of corn did the farmer plant?
Answers
That means, if the animals ate 1/8 of the corn, and the farmer gave the animals the whole of the harvested corn, then we can say that the 35 acres is just 1/8 of what he planted.
now, if 35 is 1/8, what is the whole? namely 8/8?
[tex]\bf \begin{array}{ccll} \stackrel{corn}{amount}&\stackrel{corn}{fraction}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 35&\frac{1}{8}\\\\ c&\frac{8}{8} \end{array}\implies \cfrac{35}{c}=\cfrac{\quad \frac{1}{8}\quad }{\frac{8}{8}}\implies \cfrac{35}{c}=\cfrac{1}{8}\cdot \cfrac{8}{8} \\\\\\ \cfrac{35}{c}=\cfrac{1}{8}\implies 280=c[/tex]
simplify the expression 4y - 1 - 3y + 2
Answers
in this case, 4y and -3y are like terms... and -1 and 2 are like terms
so, 4y - 3y is 1y or y
and -1 + 2 is 1
so your simplified answer is y + 1
I hope this helps!!
A deep-sea diver is in search of coral reefs. He finds a beautiful one at an elevation of -120 4/7 feet. While taking pictures of the reef, he catches sight of a manta ray. He swims up 25 3/7 feet to check it out. What is the diver's new elevation?
Answers
Since the diver goes up 25 3/7 from their current spot, you would add 25 3/7 to -120 4/7.
This expression would then simplify to -95 1/7 (first, you combine -120 and 25 since they have a fraction that share the same denominator, and then you combine -4/7 and 3/7). The diver's new elevation would be -95 1/7.
The position of the diver's new elevation will be negative 666 / 7.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A remote ocean jumper is looking for coral reefs. He tracks down a wonderful one at a rise of - 120 ⁴/₇ feet. While taking photos of the reef, he sees a manta beam. He swims up 25 ³/₇ feet to look at it.
Convert the mixed fraction number into a fraction number. Then we have
- 120 ⁴/₇ = - 844 / 7
25 ³/₇ = 178 / 7
The position of the diver's new elevation will be given as,
⇒ - 844 / 7 + 178 / 7
⇒ (- 844 + 178) / 7
⇒ - 666/7
The position of the diver's new elevation will be negative 666 / 7.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Ann had 75 fliers to post around town. Last week,
she posted 2/5 of them. This week, she posted 2/3 of the remaining fliers. How many fliers has she still not posted?
Answers
[tex]\bf 75\cdot \cfrac{2}{5}\implies \cfrac{150}{5}\implies 30 \\\\\\ \textit{how much is }\frac{2}{3}\textit{ of }\stackrel{remaining~75-30}{45}\textit{ fliers?}\qquad 45\cdot \cfrac{2}{3}\implies \cfrac{90}{3}\implies 30[/tex]
so, she had 75 total, she posted 30, then 30 again, so she hasn't posted 75 - 30 - 30.
collection of dimes and quarters has a total of $19.55. If there are three times as many quarters as dimes, find the number of each?
Answers
Let d = number of dimes.
Let q = number of quarters.
Number of coins:
q = 3d
Value of the coins:
A dime is worth $0.1
A quarter is worth $0.25
0.1d + 0.25q = 19.55
Now solve the two equations as a system of equations.
q = 3d
0.1d + 0.25q = 19.55
Since the first equation is already solved for q, replace q with 3d in the second equation.
0.1d + 0.25(3d) = 19.55
0.1d + 0.75d = 19.55
0.85d = 19.55
d = 23
q = 3d = 3(23) = 69
There are 23 dimes and 69 quarters.
Check:
23 dimes are worth 23 * $0.1 = $2.30
69 quarters are worth 69 * $0.25 = $17.25
The total value is $2.30 + $17.25 = $19.55
Also 69 is 3 times 23, so the number of quarters is indeed three times the number of dimes.
Our answer is correct.