Applying the knowledge of fractions, the bigger one is: one-sixth of 138.
What are Fractions?Fractions can be defined as a part of a digit or number, and are not whole numbers. For example, a third is 1/3, one-sixth is 1/6, which are both fractions.
Therefore, let's evaluate each statement:
1/3 of 45 = 1/3 × 45 = 15
1/6 of 138 = 1/6 × 138 = 23
Therefore, the bigger of the two is: one-sixth of 138.
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find the area of a circle whose radius is 'x', unit.
3.14 x² units
Step-by-step explanation:
Radius = x units. ----(given)
π = 3.14
Area of cirlce = πr²
= 3.14 * x²
= 3.14 x² units.
Hope it helps you!!Answer:
area = πx² square units
Step-by-step explanation:
Formula for the area of a circle:
area = πr²,
where r = radius.
In this problem, the radius is x, so we substitute r in the formula with x.
area = πx² square units
While driving, Carl notices that his odometer reads 25,952 miles, which happens to be a palindrome. He thought this was pretty rare, but 2.5 hours later, his odometer reads as 36,563 miles, anoher palindrome. What was Carl's average speed during those 2.5 hours
Carl's average speed was 4244 miles/hr during those 2.5 hours
First, the odometer showed palindromic no. 25952 miles
after 2.5 hours odometer showed the next palindromic no. is 36563.
hence the distance covered in 2.5 hours = 36563 - 25952 = 110611 miles.
Now, we have to find the average speed with the distance covered 110611 miles in a particular time of 2.5 hours.
Using formula,
average speed = total distance / total time
[tex]\frac{10611}{2.5}[/tex] =4244 miles/hour is the average speed
Hence, Carl's average speed was 4244 miles/hr during those 2.5 hours
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Which expressions are equivalent to 12r-5
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
6(2r+(-1))+1
(Choice B)
B
-4(2+(-3r))+3
(Choice C)
C
None of the above
The expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 12r - 5
A) 6(2r+(-1))+1
= 12r + 6(-1) + 1
= 12r -5
B) -4(2+(-3r))+3
= -8 -4(-3r) + 3
= -5 + 12r
or
= 12r - 5
Thus, the expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.
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Sherry Lebito bought 500 shares of stock at a quoted price of 83 1/4 What was the total purchase price?
$
A year later Sherry sold her stock at a quoted price of 95 1/2.
(b) Did she have a capital gain or a capital loss?
(c) How much of a gain or loss did she experience?
$
The total purchase price is $41,625.00
Capital gain was recorded
The capital gain is $41,625.00
What is total initial initial investment?
Was a capital gain or loss made?
What is the dollar value of gain or loss recorded?
Cost per share=$83.25(note 1/4=0.25)
Total purchase price=purchase price per share*number of shares
Total purchase price=$83.25*500
Total purchase price=$41,625.00
The fact that the price at which Sherry sold the stocks a year later is more than the initial purchase price of $83.25, means that a capital gain was recorded, in other words, she bought low and sold high.
The capital gain can be computed as the total selling price(selling price per stock multiplied by the number of shares sold) minus the total purchase price.
total selling price=$95.50(i.e. 1/2=0.500
total selling price=$95.50*500
total selling price=$47,750.00
capital gain=$47,750.00-$41,625.00
capital gain=$6,125.00
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Simplify 4a - 2a + a
Answer:
=> 3a
Step-by-step explanation:
=> 4a - 2a + a
=> 2a + a
=> 3a
Answer:
[tex]\boxed{\bf 3a}[/tex]
Step-by-step explanation:
[tex]\bf 4a - 2a + a[/tex]
Combine 4a and -2a = 2a.
[tex]\bf 2a+a[/tex]Combine 2a and a = 3a
[tex]\bf 3a[/tex]---------------------------------------
Y=
Help me please thank u
Answer:
Y≈4.6
Step-by-step explanation:
Because the hypotenuse is 9rad2 and the angle opposite of it is a 90. You can deduce it is a 90-45-45. From this you can tell the legs are 9. You then do 9 tan 26 to get about 4.4, and after this you subtract it from 9.
PLEASE HELP!!!!
Use the following set of data:
78, 78, 83, 85, 89, 91, 95, 98
What is the median for the set of data?
(A) 85
(B) 89
(C) 87
(D) 98
Answer:
87
Step-by-step explanation:
The median of a data set is the value that is exactly in the middle of all other values.
To find the median of a data set, we typically list the values in order of greatest to least, and we look for the number in the middle.
Here, the list-maker has already provided the list in this order!
78, 78, 83, 85, 89, 91, 95, 98
we can see two numbers exactly in the middle here--when this happens, we take the mean/average of the two:
85 + 89 = 174
174 / 2 = 87
So, the median of this data set is 87
hope this helps! have a lovely day :)
Trini rode her bike 12 miles on Friday. She rode 14 miles on Saturday and 15 miles on Sunday. How many miles did she ride in all?
Answer: 41
Step-by-step explanation:
12+14+15= 41
what is 2,104.50 divided by 122
2104.50 ÷ 122 = 17.25
...
a chemical company makes two brands of antifreeze the first brand is 20% pure antifreeze and the second brand is 45% pure antifreeze in order to obtain 70 gallons of the mixture that contains 30% antifreeze how many gallons of each brand of antifreeze must be used
Answer:
first brand: 42 gallons
second brand: 28 gallons
Step-by-step explanation:
So you know that the first brand is 20% antifreeze, this means that if you have x gallons then 0.20x is pure antifreeze. The same thing can be applied for the second brand except the coefficient is 0.45 and I'll just say the variable is y. If you haven't noticed, the coefficients are simply the percentages of antifreeze, but in decimal form. Anyways, since it's asking for a mixture that's 30% antifreeze and is 70 gallons that means 0.30(70) gallons is pure antifreeze. This simplifies to 21 gallons. So if we take the pure antifreeze of both mixtures we get the following equation:
[tex]21 = 0.2x + 0.45y[/tex]
the x represents how many gallons of the first brand, and the y represents how many gallons of the second brand. Since that's what it represents we also get the equation:
[tex]70=x+y[/tex]
In this equation there aren't any coefficients, since x and y represent the whole amount. the 0.2x and 0.45 simply represent how much is pure antifreeze.
So to solve this systems of equation we can solve for y or x, either works, and then substitute it into the other equation. So in this example I'll solve for y
Original equation:
[tex]70=x+y[/tex]
Subtract x from both sides
[tex]70-x=y[/tex]
So now we can substitute this into the pure antifreeze question
[tex]21 = 0.2x + 0.45y \implies21=0.2x+0.45(70-x)[/tex]
So now we can solve for x since it's the only variable in this equation
[tex]21=0.2x+31.5-0.45x[/tex]
Simplify
[tex]21=-0.25x+31.5[/tex]
Subtract 31.5 from both sides
[tex]-10.5=-0.25x[/tex]
Now divide both sides by -0.25
[tex]42=x[/tex]
So this means we have to use 42 gallons of the first brand, now we can substitute this into either equation to solve for y, but it's much easier to use the total gallon equation:
[tex]x+y=70\implies 42+y=70[/tex]
Subtract 42 from both sides
[tex]y=28[/tex]
So this means we need to use 42 gallons of the first brand and 28 gallons of the second brand
I can walk at 6km/hr and run at 15km/hr. On a journey I spend as long walking as I do running. If I had walked twice as long on the journey it would have taken me six minutes longer find how far I ran
He ran for 12 km in his journey.
What is an Equation ?An equation is formed when two algebraic expressions are equated by an equal sign.
It is given that
Speed of Walking =6km/hr
Speed of Running = 15km/hr
Let he walks and run x hours ( as given)
he covered distance = 21 x km
The total time taken in the journey is 2x
for the same distance
It is also given that
if for the total journey
if he walks walked twice as long on the journey
He walked 6x in the journey so new distance that he walked is 12x , then the total journey time = 6 minutes longer
Converting speed from km / hr to km/ min
1 km / hr = 60 km/ min
and forming an equation with the given data
12x * 60 /6 + 9x *60/15 = 2x * 60 + 6
120x + 36x = 120x +6
150x = 120
x = 120/150
x = 0.8 hours.
Therefore he spent 0.8 hours walking and 0.8 hours running and He ran 15 * 0.8 = 12 km
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Find the value of each variable in the diagram given that a ∥ b.
Can you also explain please? Thank you!
The values are as follows:
z=50
v= 150
x= 100
y=15
w= 50
What is parallel lines?
Parallel lines are lines in a plane that are always the same distance apart.
z+130= 180 (Linear pair)
z=50
v+ 30 = 180 (Linear pair)
v= 150
x= 180- 30 - 50 (angle sum property)
x= 100
2y=30 (alternate interior angle)
y=15
w+x+2y=180 (Linear pair)
w+ 100 + 30 = 180
w= 50
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From the diagram below, given the side lengths marked, and if we know that < C is congruent to < E, we can say that ___.
Select one:
a.
the two triangles are similar by SAS
b.
the two triangles are not similar
c.
the two triangles are congruent
d.
the two triangles are similar by AA
Answer:
d) the two triangles are similar by AA
Step-by-step explanation:
Which expression is equivalent to 3x2 + 7x + 4?
3(x2 + 7x + 4) – 14x - 8
3x2 + 7x + 4 – 14x
3x2 + 7x + 4 – 8
3x2 + 7x
Answer:
a.) 3(x^2 + 7x + 4) – 14x - 8
Step-by-step explanation:
a.) 3(x^2 + 7x + 4) – 14x - 8
3x^2 + 21x + 12 - 14x - 8
3x^2 + 7x + 4
b.) 3x^2 + 7x + 4 – 14x
3x^2 -7x + 4
c.) 3x^2 + 7x + 4 – 8
3x^2 + 7x - 4
d.) 3x^2 + 7x
Already simplified
PLEASE HELP ASAP. I WILL MARK AS BRAINLIEST
You must go 45 miles per hour to reach the longest distance.
Number of hours the car can runThe given parameters are:
Speed = 60 miles per hourTime = 5 hoursWhen the speed increases by 1 mile per hour, the time reduces by 10 minutes.
This means that:
When
Speed = (60 + x) miles per hour
The time is:
Time = 5 hours - 10 minutes * x
Convert minutes to hour
Time = 5 hours - 1/6 * x hour
This gives
Time = 5 - x/6 hour
Hence, the car can run for (5 - x/6) hours
The distance for 1 tank of gasWe have:
Speed = (60 + x) miles per hour Time = (5 - x/6) hoursThe distance is calculated using
Distance = Speed * Time
This gives
Distance = (60 + x)(5 - x/6)
Expand
Distance = 300 - 10x + 5x - x^2/6
Evaluate the like terms
Distance = 300 - 5x - x^2/6
Hence, the distance for 1 tank of gas is 300 - 5x - x^2/6 miles
The longest distanceWe have:
D = 300 - 5x - x^2/6
Differentiate
D' = -5 - x/3
Set to 0
-x/3 = 5
Solve for x
x = -15
Substitute x = -15 in D = 300 - 5x - x^2/6
D = 300 - 5(-15) - (-15)^2/6
Evaluate
D = 337.5
Hence, the longest distance is 337.5 miles
The speed for the longest distanceWe have:
x = -15
Substitute x = -15 in Time = (5 - x/6) hours
Time = (5 + 15/6) hours
Evaluate
Time = 7.5 hours
The speed is calculated as:
Speed = Distance/Time
This gives
Speed = 337.5/7.5
Evaluate
Speed = 45
Hence, you must go 45 miles per hour to reach the longest distance.
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A fence is to be built to enclose a rectangular area of 200 square feet. The fence along three sides is to be made of material that costs 3 dollars per foot, and the material for the fourth side costs 12 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
y = 220/ ((10/3) * √22)
It is given that area is 200 square feet. Cost is 3 dollar per foot. Fourth side costs 12 dollars per foot.
This f(x,y) needs to represent the cost of the fence so we can look at each side's price. We can choose the fourth side to be along the x axis and be represented by 13x. The other sides therefore must be represented by 5y, 5y, and 5x.
So, our cost, f(x,y) = 13x + 5x + 5y + 5y = 18x + 10y
Our constraint is xy = 220 as defined by the area of a rectangle.
We can then take our constraint to be put in terms of exclusively x, giving us y = 220/x
Plugging this into our cost, the thing we are minimizing, we get f(x) = 18x + 2200/x
In order to find the minimum we use the first derivative test, taking f'(x) and finding the critical points.
f'(x) = 18 - 2200/x2
Setting this equation to be equal to 0 we find that x = ±√2200/18 . But the negative answer doesn't make sense because distance cannot be negative so we throw it out.
x = (10/3) * √22
We must verify that this is a minimum by confirming the following:
If x < (10/3) * √22, f'(x) < 0. So, f(x) is decreasing when x < (10/3) * √22.
If x > (10/3) * √22, f'(x) > 0. So, f(x) is increasing when x > (10/3) * √22.
Thus, we have guaranteed that (10/3) * √22 is the x dimension. Now we plug in this value in our original equation to find y and that is our y dimension. So, y = 220/ ((10/3) * √22)
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Drag the tiles to the correct boxes to complete the pairs.
Match each question with its answer. The answers are in the form (quotient)r (remainder).
The number of books on each shelf is 11 remainder 11
The toffees left over is 22 r 4
The oranges that would remain is 11 r30
The pages left to read is 22 r 16
What are the matched questions and answers?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Number of books on each shelf = 3542 / 321 = 11 remainder 11
The toffees left over = 246 / 11 = 22 r 4
The oranges that would remain: 1702 / 152 = 11 r30
The pages left to read = 676 / 30 = 22 r 16
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The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
The answers to the various part as well as its reasons are given below
Part A:The x-intercepts shows a zero profit.The maximum value of the graph tells or depict the maximum profit.The function is one that goes up or increases upward until it reach the vertex and then it falls or decreases after it.This implies that the profit goes up as it reaches the peak at the vertex and it goes down after the vertex up until it gets to zero.The profits are negative as seen on the left of the first zero and on the right of the second zero.Part B:An approximate average rate of change of the graph from x = 3 to x = 5, shows the reduction in profit from 3 to 5.
Part C:Based on the above, the domain is one that is held back or constrained by x = 0 .
We are compelled at x = 6 due to the fact that we have to maneuver a negative profit.
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please help me on this question. im not the best at geometry
Answer: 48
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{x}{36}=\frac{64}{x}\\\\x^{2}=36 \cdot 64\\\\x=\sqrt{36 \cdot 64}\\\\x=\sqrt{36} \sqrt{64}=48[/tex]
The endpoints of FG are F(3.75,9) and G (2,-12).
If point E divides FG in the ratio 3:4, the coordinates of point E are what?
If point H divides FE in the ratio 2:3, the coordinates of point H are what?
Using proportions, it is found that:
The coordinates of point E are (3,0).The coordinates of point H are (3.45, 5.4).What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point E divides FG in the ratio 3:4, hence:
[tex]E - F = \frac{3}{7}(G - F)[/tex]
This is used to find both the x and y coordinates.
For the x-coordinate, we have that:
[tex]E - F = \frac{3}{7}(G - F)[/tex]
[tex]x - 3.75 = \frac{3}{7}(2 - 3.75)[/tex]
x - 3.75 = -0.75.
x = 3.
For the y-coordinate:
[tex]E - F = \frac{3}{7}(G - F)[/tex]
[tex]y - 9 = \frac{3}{7}(-12 - 9)[/tex]
y - 9 = -9
y = 0.
The coordinates of point E are (3,0).
Point H divides FE in the ratio 2:3, hence:
[tex]H - F = \frac{2}{5}(E - F)[/tex]
This is used to find both the x and y coordinates.
For the x-coordinate, we have that:
[tex]H - F = \frac{2}{5}(E - F)[/tex]
[tex]x - 3.75 = \frac{2}{5}(3 - 3.75)[/tex]
x - 3.75 = -0.3.
x = 3.45.
For the y-coordinate, we have that:
[tex]H - F = \frac{2}{5}(E - F)[/tex]
[tex]y - 9 = \frac{2}{5}(0 - 9)[/tex]
y - 9 = -3.6
y = 5.4.
The coordinates of point H are (3.45,5.4).
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Answer:
The coordinates of point E are (3,0).
The coordinates of point H are (3.45, 5.4).
Step-by-step explanation:
I just got it right on the test
O Here is a list of numbers:
19, 4, 7, 2, 10, 5, 19, 2, 12
State the median.
Answer:
10
Step-by-step explanation:
median is the middle number of the list of numbers.
thereby counting through, the middle number which is the fifth number is 10
Answer:
7
Step-by-step explanation:
Which is the graph of f(x) = 4( 1 /2)x
Answer:
I don't see any option to choose from.
Step-by-step explanation:
See attached graph.
f(x) = 4( 1 /2)x can be rewritten as y = 2x. This is a straight line with slope 2 and a y-intercept of 0.
35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
35. Passes through (-2, 8) and (4, 6)
Answer:
The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as [tex]$y=-\frac{1}{3} x-\frac{26}{3}$[/tex].
Step-by-step explanation:
A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).
It is asked to find the linear equation which satisfies the given condition.
Step 1 of 3
Determine the slope of the line.
The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
Substitute [tex]$6 \& 8$[/tex] for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex] respectively, and 4&-2 for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows, [tex]$m=\frac{6-8}{4-(-2)}$[/tex]
[tex]$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$[/tex]
Step 2 of 3
Write the linear equation in point-slope form.
A linear equation in point slope form is given as,
[tex]$y-y_{1}=m\left(x-x_{1}\right)$[/tex]
Substitute [tex]$-\frac{1}{3}$[/tex] for m,-2 for [tex]$x_{1}$[/tex], and 8 for [tex]$y_{1}$[/tex] in the above equation and simplify using the distributive property as follows, [tex]y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex]
Step 3 of 3
Simplify the equation further.
Add 8 on each side of the equation [tex]$y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex], and simplify as follows, [tex]$y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$[/tex]
[tex]$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$[/tex]
This is the required linear equation.
Miss Goh bought 6 blouses, 2 skirts and 2 dresses for $560. A blouse and a skirt cost $107. A blouse and a dress cost $134. What was the cost of a dress?
Answer:
$95 FOR A DRESS
Step-by-step explanation:
Let's rearrange the given:
She bought a blouse and skirt for two, a blouse and a dress for two, and a blouse for two.
A blouse and a skirt cost $107
A blouse and a dress cost $134
blouse cost x dollars
The equation:
2($107) + 2($134) + 2x = $560
SOLUTION:
$214 + $268 + 2x = $560
2x = $560 - $214 - $268
2x = $78
x = $39 for a single blouse
FIND THE COST OF DRESS:
A blouse and a dress cost $134 - $39 for a single blouse
$134 - $39 = $95
$95 IS THE COST OF DRESS
The length of a rectangle is 7 centimeters less than three times its width. Its area is 40 square centimeters. Find the dimensions of the rectangle.
If the area of the rectangle is 40 square centimeters and length is 7 cm less than 3 times the breadth then the length will be 8 cm and breadth will be 5 cm.
Given area of the rectangle is 40 square centimeters and length is 7 centimeters less than 3 times the breadth.
let the breadth of rectangle be x.
According to question
Length=3x-7
Breadth=x
Area of rectangle=length* breadth
=[tex](3x-7)x[/tex]
=[tex]3x^{2} -7x[/tex]
Area is given as 40 square centimeters.
40=[tex]3x^{2} -7x[/tex]
[tex]3x^{2} -7x-40=0[/tex]
By factorization
[tex]3x^{2} -15x+8x-40=0[/tex]
3x(x-5)+8(x-5)=0
(3x+8)(x-5)=0
3x+8=0
x=-8/3
x-5=0
x=5
We should neglect x=-8/3 because side cannot be negative. So we have taken x=5.
Put x=5 in 3x-7 to get length
length=3(5)-7
=15-7
=8
Hence the length will be 8 cm and breadth will be 5 cm.
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A car rental company offers two plans for renting a car. Plan A: $30 per day and 18 cents per mile Plan B: $66 per day with free unlimited mileage How many miles would you need to drive for plan B to save you money
Answer:
200 miles
Step-by-step explanation:
Set up a cost equation for each plan using x for miles.
Set the equations equal.
Solve for x, the miles.
For a 1 day rental.
Plan A:
C = 0.18x + 30
Plan B:
C = 66
0.18x + 30 = 66
0.18x = 36
x = 36/0.18
x = 200
Answer: 200 miles
How many sandwiches do
you think would be supplied by this
market if the price were $3.50?
=========================================================
Explanation:
Start at $3.50 on the vertical y axis. Draw a horizontal line until you reach the supply curve. Then drop straight down to land somewhere between 650 and 700 units supplied per day. Check out the diagram below.
A good estimate may be to use the midpoint. Add up those values and divide in half.
(650+700)/2 = 1350/2 = 675
Therefore, we estimate that 675 sandwiches per day would be supplied if the price was $3.50 per sandwich.
A manager measured the number of goods, y, that his company produced in x hours. The company produces goods at a rate of 5 per hour. At hour 9, the company had produced 45 goods.
Which equation, in point-slope form, correctly represents the goods produced by the company after x hours?
The equation, in point-slope form is (y - 45) = 5(x - 9) option first is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
A manager measured the number of goods, y, that his company produced in x hours.
The slope:
m = 5
From the problem:
The point (9, 45) will satisfy the line.
(y - 45) = 5(x - 9)
Thus, the equation, in point-slope form is (y - 45) = 5(x - 9) option first is correct.
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The sum of two numbers is 724. one of the numbers is 217. what is the other number?
Answer:
507
Step-by-step explanation:
For the Algebraic Expression,
let the two numbers be X and y
lets assume x = 217
From the question,
217 + y = 724
y = 724-217
y = 507
Therefore, the other number is 507
find the values of x work 10% of my grade
Answer:
x = 35
Step-by-step explanation:
1. Add all angles
[tex]115+(x+36)+24+(2x+10)+2x[/tex]
= [tex]5x+185[/tex]
2. Match 360 and fix
[tex]5x+185=360[/tex]
[tex]5x=360-185[/tex]
[tex]5x=175[/tex]
[tex]x=175/5[/tex]
[tex]x=35[/tex]
Hope this helps
Answer:
[tex]\boxed{\sf x = 35^o}[/tex]
Step-by-step explanation:
Let's find the value of x :-
[tex]\sf 115 + x + 36 + 24 + 2x + 10 + 2x = 360^o[/tex]
Add the numbers.
[tex]\sf 185 + x + 2x + 2x = 360[/tex]Combine like terms.
[tex]\sf 5x + 185 = 360[/tex]Subtract 185 from both sides.
[tex]\sf 5x = 175[/tex]Divide both sides by 5.
[tex]\sf x = 35^o[/tex]--------------------------------------