If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10
The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through points (5, 6) and (10, y)
[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]
The slope, m = 4/5
Substitute these value into the slope formula and solve for y
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]
Cross multiply:
4(5) = 5(y-6)
4 = y - 6
Collect like terms
y = 4 + 6
y = 10
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Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please
[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]
Subtract
O
O
Iw + 4 from
I W .
+3
10-1
-w+1
w+7
- 7 / 20 + 7
7
-
O
O
Answer: (1/4)w - 1
Step-by-step explanation:
[(1/2)w + 3] - [(1/4)w + 4]
[(1/2)w - (1/4)w] + [3 - 4]
(1/4)w - 1
Help rn have to get this done send answers
Answer:
D) 3 units
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $159 for parts. The total was $456.50. Write and solve an equation which can be used to determine x x, the cost of the labor per hour.
The equation to represent the problem is written as
$456.50 = 3.5x + $159
the cost of the labor per hour is $85.
How to determine the cost of the labor per hourLet x be the cost of the labor per hour.
The technician worked on the computer for 3.5 hours, so the labor cost would be 3.5x.
The total cost, including the labor and parts, was $456.50.
So, we can set up an equation to represent the total cost:
Total cost = Labor cost + Parts cost
$456.50 = 3.5x + $159
Solving for x:
Subtract $159 from both sides:
$456.50 - $159 = 3.5x
$297.50 = 3.5x
Finally, divide both sides by 3.5 to find the value of x:
x = $297.50 / 3.5
x = $85
Therefore, the cost of the labor per hour is $85.
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Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?
Answer:
See below
Step-by-step explanation:
When x=-1, y=5(-1)+3=-5+3=-2
When x=0, y=5(0)+3=0+3=3
When x=1, y=5(1)+3=5+3=8
When x=2, y=5(2)+3=10+3=13
When x=3, y=5(3)+3=13+3=16
Therefore, this is the correct table:
x -1 0 1 2 3
y -2 3 8 3 16
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
PLEASE PLEASE HELP ME
Answer:
Assuming that it ends at 9.5. The domain is (-8 , 9.5). However, assuming it continues further to the right, it could be (-8 , ∞)
Range is the area covered vertically. Assuming it ends at 9.5 it would be (4 , -4) However, assuming it continues further down vertically, it would/could be (4 , -∞)
Neither.
Step-by-step explanation:
Domain is the area covered horizontally. Assuming that it ends at 9.5. The domain is (-8 , 9.5). However, assuming it continues further to the right, it could be (-8 , ∞)
Range is the area covered vertically. Assuming it ends at 9.5 it would be (4 , -4) However, assuming it continues further down vertically, it would/could be (4 , -∞)
It is neither because it is on the x-axis.
Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh
the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school
Answer:
1 1/12
Step-by-step explanation:
Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)
Find common denominator, which is 24
6 times 4 equals 24; 11 times 4 equals 44
4 times 6 equals 24; 3 times 6 equals 18
44/24 - 18/24 (subtract only top numbers (44-18) = 26
26/24 simplified is 13/12 or 1 1/12
Hope it's right :)
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).
Answer:
Step-by-step explanation:
slope-intercept form is y=mx+b
m = slope = change in y/change in x
change in y/change in x = 2/1
m = 2
b = y intercept = y value when x = 0
using the slope, go left 2 units and down 4
when x = 0, y = 0
b = 0
y = mx+b when m = 2 and b = 0
y = 2x+0
y = 2x
Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?
Answer:
$5026
Step-by-step explanation:
if you divide 70 by 15 you get 4.66666667
then multiply 4.6666667 by 1077 and you get 5026
What is the slope of the proportional relationship, and how can I graph it?
Answer:
I would say 5.2 .
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
PLEASE HELP ITS 10TH GRADE GEOMETRY
Hope you could get an idea from here.
Doubt clarification - use comment section.
what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?
Answer:
1+2i
Step-by-step explanation:
midpoint: (6 + -4)/2 + (-2 + 6)/2 i
= 1+2i
Which statement is true?
Which statement is true?
The equation -x2 + 6x + 9 = 0 has no real solutions
The equation -x2 + 6x - 9 = 0 has one real solution
The equation -x2 + 6x - 9 = 0 has two real solutions
The equation -x2 + 6x + 9 = 0 has three real solutions
Answer:
The equation -x2 + 6x - 9 = 0 has two real solutions.
Step-by-step explanation:
[tex] {b}^{2} - 4ac = {6}^{2} - 4( - 1)( - 9) = 0 [/tex]
The discriminant equals to 0, so the quadratic equation has 1 real solution.
Select the correct answer,
How does the figure verify the triangle inequality theorem?
Step-by-step explanation:
just think it through. it can only be the first option. the sides 7 and 4 are together 11, and they can only meet, when putting them flat on the 11 side. but yes, if you do that, they will meet, as 11 = 11.
the result would be an extreme triangle : appearing just as one, flat line (length 11), the angles being 180°, 0° and 0°.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A.
What is the triangle inequality theorem?The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c(b+c) > a(c+a) > bSides 7 and 4 are together 11, and they can only meet when they are flat on the side with a length of 11 units. However, if you do this, they will meet touch overlap on each other since 11 units = 11 units.
This will result in an extreme triangle which will more of look more like a straight line and will have angles of measure as 180°, 0°, and 0°.
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(w-10x) (w+10x) Use the Identities to solve this question
We are provided that –
(w-10x) (w+10x)Applying identity –
a² - b² = (a + b)(a - b)[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges 3691 to rent trucks plus an additional fee of 225.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
У
Х
(2, 3)
Write down the coordinates of the vertex of the curve with equation
a) f(x) + 5
b) –f(x)
help me please
Answer:
Below in bold.
Step-by-step explanation:
a) the curve moves up 5 units, so
the vertex is (2, -3 + 5)
= (2, 2).
b) - f(x) is the image of f(x) in the x-axis so
The vertex is at (2, 3).
Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)
Answer:
B. y = 1/3x + 3
Step-by-step explanation:
Answer: I think the answer is B
how do you subtract -5000 from 263
Answer:
263-5000=4737
Step-by-step explanation:
IF ITS -5000-263
if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.
[-5000+(-263)=-5263]
IF ITS 263-(-5000)
do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.
[263+5000=5263]
Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10
Answer:
the answer is 4
Step-by-step explanation:
16×7= 112
112÷28=4
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
selling price = original cost + markup value
A.
$509.95
B.
$831.57
C.
$835.49
The selling price of the item is $835.49
How to determine the selling price?The given parameters are:
Original cost = $784.50
Markup = 6.5%
The selling price is calculated as
Selling price = Original cost * (1 + Markup)
So, we have:
Selling price =$784.50 * (1 + 6.5%)
Evaluate the expression
Selling price =$835.49
Hence, the selling price of the item is $835.49
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Solve. 34x+78=414 Enter your answer as a mixed number in simplest form in the box. x =
Answer:
The answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Step-by-step explanation:
34x + 78 = 414=> 34x = 414 - 78=> 34x = 336=> x = 336/34=> [tex]9\frac{30}{34} = 9\frac{15}{17}[/tex]Conclusion:
Therefore, the answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer: X= 9 over 2
I think this is the right answer
sorry if it is not
you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water
Answer: A = 15 + 0.5(w)
Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.
To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula
please help 50 pts and brainliest if correct
Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.
The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.
A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.
Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is non random and biased.
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Answer:
its nonrandom and biased
Step-by-step explanation:
so you don't have to read the other guys answer
Which statement is an example of the transitive property of congruence?
A. If A EFG = AHJK, then AHJK = A MNP.
B. AEFG = AEFG
C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
D. If A EFG - AHJK, then AHJK - A EFG.
Answer:
my answer was d. 90 percent sure .
Step-by-step explanation:
The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
Meaning of the transitive property of congruenceThis transistive property holds congruent figure. it is states that: If Figure A is equal to figure B and Figure B is equal to Figure C, then Figure A will be equated to Figure C.
For example: AB = CD; CD = EF, then AB = EF
if angle A is equivalent to angle B and angle B is equivalent to angle C; then angle A will be equivalent to angle C
in conclusion, The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
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PLS HELP AND ANSWER CORRECTLY 15 POINTS AND BRAINLIEST!!!
how can you test to see if a given point is in the solution set of a system of inequalities?
Answer:
you can plug the point into the inequality and see if it works
Step-by-step explanation:
If I have xy>4 and I want to test the point 4,6 I would take xy which would be 4 and 6 because those are the numbers from the coordinates. when writing coordinates x is the first number and y is the second. 4 times 6 because x times y which is xy is equal to 24 now we have 24>4 and this is true
help plz (asap) ..............................................................................
Answer:
oof u alone kid
Step-by-step explanation:
How far dose a kangaroo travel in 2 minutes