Answer:
x = 9
Step-by-step explanation:
Given:
m<1 = 8x
m<2 = (10x - 18)
Required:
Value of x
Solution:
<1 and <2 are alternate exterior angles. Alternate exterior angles are congruent. Therefore:
m<1 = m<2
8x = 10x - 18 (substitution)
Solve for x
8x - 10x = -18
-2x = -18
-2x/-2 = -18/-2
x = 9
More than 3, 000, 000, 000 pencils are manufactured in country A annually. Write this number in scientific notation
Answer:
3.0 times 10 with 8 as the exponent
Step-by-step explanation:
Count the amount of times you move the decimal point.
That number is the exponent number.
If you are counting left it is positive, if you are counting right it is negative.
Answer:
Step-by-step explanation:
Count the number of zeros.
There are 9 of them.
So the answer is 3 * 10^9
Matthew paid $49.45 for five used video games of equal cost. The
relationship between the number of video games and the total cost is
proportional. What is the total cost for 11 used video games? Use any
strategy.
Show
Copyright law-
HE
your work
here
The total cost for 11 used video games will be
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Matthew paid $49.45 for five used video games of equal cost.
Now,
Since, Matthew paid $49.45 for five used video games of equal cost.
Hence, The cost of 1 video game = $49.50/5
= $9.90
So, The total cost for 11 used video games = $9.90 × 11
= $108.9
Thus, The total cost for 11 used video games = $108.9
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Wanda claims that congruent triangles have equal perimeters Is she correct? Explain
Find the percent for the fraction 2/3. Round your answer to the nearest tenth?
Answer: 33.33%
Step-by-step explanation:
Find the distance between (-7, -2) and (11,3). Write your answer to one decimal.
Your answer
Answer:
The answer is 18.7 unitsStep-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
(-7, -2) and (11,3).
The distance between them is
[tex]d = \sqrt{( { - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ( { - 5})^{2} } \\ = \sqrt{324 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{349} \: \: \: \: \: \: \: \: \\ = 18.681541692... \: \: \: \: \: [/tex]
We have the final answer as
18.7 units to the one decimal placeHope this helps you
Answer:
68
Step-by-step explanation:
im stuck on this question, plz help
Manuel runs a 100-meter race. 6 seconds after the race started Manuel is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Manuel notices that he is 75 meters from the starting line 11 seconds after the race started.
Suppose Manuel runs for an additional z seconds after reaching his max speed...
What is Manuel's distance from the starting line 6+z seconds after the race started?
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
40 metres covered in 6 seconds
Max speed attained after 6seconds
75 meters covered after 11 seconds
Average Speed for first 40 meters :
Speed = distance / time
Speed = 40m / 6s
Speed = 6.67m/s
To obtain the maximum speed :
Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds
Speed at this point is maximum :
Hence, maximum speed = (35m / 5s) = 7m/s
Suppose, Manuel runs for an additional z seconds after reaching max speed :
Distance from starting line 6+z seconds after race started?
Distance after 6 seconds = 40 metres
Distance after z seconds = 7 * z
Total distance = (40 + 7z)
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))
40 + 7(x - 6)
Four more than five times a number is 59. What is the number ?
Answer:
(11 x 5) + 4 = 59
Step-by-step explanation:
You take whats in the parentheses, (11 x 5) and multiply.
You get a result of 55, then add your 4.
Determine whether y varies directly with x. If so, find the constant of variation k. 4y=x
Answer:
k = 1/4
Step-by-step explanation:
y = kx
4y=x
y = 1/4x
Answer:
Step-by-step explanation:
One gallon of gas costs $3.02, but this cost is projected to increase by
120% in the next 2 years. What is the projected cost of a gallon of gas 2
years from now?
A. $0.60
B. $3.02
C. $3.62
D. $6.64
Why is subtracting an expression similar to distributing a –1?
Please answer quick!!
10. A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
a) What is the person's distance?
b) What is the person's displacement?
Step-by-step explanation:
Given that,
A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
(a) Distance is equal to total path covered during the entire journey.
Distance = 12 + 5 +2
Distance = 19 m
(b) The shortest path covered is equal to the shortest path traveled. Let east is positive and west is negative. So,
Displacement = 12 +(-5) +2
Displacement = 9 m
Chic-ken Rulez is a food vendor at the state fair that only sells complete box meals which includes a sandwich (chicken or turkey), fries, and drink. Customers walk up to the counter at Chic-ken Rulez and place an order.The counter employee enters the order into the system which is displayed on several screens for all other employees to see the items that need to be made. In the kitchen sandwich makers assemble the selected sandwich once it displays on the order screen. The fry master will cook, salt, and scoop the ordered fries into a cup. Meanwhile, the employee that took the order, will prepare the requested drink. Once the sandwich and fries are complete, they are place in a window where the counter employee places all items in a box and delivers it to the customer. Taking the order and entering it into the system takes 5 minutes. Once entered, the display screens instantly show the items to be made. The counter employee then takes an average of 3 minutes to make a drink. On average, it takes sandwich makers 8 minutes to complete a sandwich and place in the pick-up window. The fry maker takes 12 minutes on average to complete a cup of fries and place in the pick-up window. It takes the counter employee 10 minutes to box all items and hand to customer for delivery. All times listed are flow times for each activity and include the effects of waiting.1) Draw a process map/flowchart for the above process and Label it Process #1Chic-ken Rulez wishes to improve the process by reducing the time to deliver a meal box. Customers often make an order and leave the counter area to find seating. This is the root cause for delivery times being so long because on average a customer's meal order is called 3 times before it is actually picked up which completes delivery.To reduce the process time, Chic-ken Rulez is going to provide customers with a miniature plastic chicken with a GPS tracker inside at the time of the order. The order process is the same except now the box and delivery activity will be two separate activities. Delivery is now performed by food runners that use a handheld device to locate the GPS plastic chickens, collect the plastic chicken for re-use, and deliver a customer’s ordered meal box.It now takes 2 minutes to box a meal. Based on preliminary tests, the average time to locate a GPS plastic chicken and deliver a meal box in the food area takes 7 minutes.2) Draw a process map/flowchart for the above modified process and Label it Process #2
Answer:
This answer was provided through an attachment since it basically involves drawing a flow diagram.
Step-by-step explanation:
the question requires that we draw a flow diagram of the time and process of taking an order, making a drink, fixing a sandwich and also making fries.
please check the attachment for the processes #1 and #2.
the net process time minute for process#1
5+12+10 = 27 minutes
the net process time minute for process# 2
5 + 12 + 2 + 7
= 26 minutes
The breakfast cafe uses 3 1/4 lb of coffee per day. How much coffee does it use ina 7 day week?
Quantity of coffee used per day by breakfast cafe =
[tex] = 3 \frac{1}{4} \: lb[/tex]
Quantity of coffee it will use in a seven day week =
[tex] = 3 \frac{1}{4} \times 7[/tex]
[tex] = \frac{(4 \times 3) + 1}{4} \times 7[/tex]
[tex] = \frac{13}{4} \times \frac{7}{1} [/tex]
[tex] = \frac{91}{4} [/tex]
[tex] = 22 \frac{3}{4} \: lb[/tex]
Therefore , a breakfast cafe will use =
[tex]22 \frac{3}{4} \: lb \: of \: coffee \: in \: a \: seven \: day \: week \: .[/tex]
PLEASE HELP ASAP
IT AN EMERGENCY
Rhoda is asked to graph this system of equations: 5x - 6y = 4 3y + 2x = 7 How many times will the lines intersect? O A. The lines will intersect infinitely many times, because they are identical. O B. The lines will not intersect, because this system has no solutions. O C. The lines will intersect once, because this system has one solution. D. There is no way to tell without graphing the lines first.
Answer:
C. The lines will intersect once, because this system has one solutionStep-by-step explanation:
System of equations:
5x - 6y = 4 3y + 2x = 7The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
Line1
5x - 6y = 46y = 5x - 4y = 5/6x - 4/6Line 2
3y + 2x = 73y = -2x + 7y = -2/3x + 7/3As we see lines have different slopes so they are different and they intersect once
This system has one solution
Answer:
C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
In order to convert this equation to Slope-Intercept Form, you must first isolate y.
What is the first step in isolating y?
3x+2y=4
Use Division Property of Equality to divide the equation by 3.
Use Addition Property of Equality to add 2y to both sides of the equation.
Use the Subtraction Property of Equality to subtract 3x from both sides of the equation.
Use Subtraction Property of Equality to subtract 4 from both sides of the equation.
Answer:
use the subtraction property of equality to subtract 3x from both sides of the equation
Step-by-step explanation:
y is on the left so move everything else to the right side
According to the Subtraction Property, both sides of an equation remain equal following a subtracting of the same amount from both sides of the equation
The first step in isolating y in the equation 3·x + 2·y = 4 is the option;
Use the Subtraction Property of Equality to Subtract 3·x from both sides of the equationReason:
The slope and intercept form of the straight line equation is the the equation in the form y = m·x + c
Where;
m = The slope of the equation
c = The y-intercept
The given equation is 3·x + 2·y = 4
To isolate y, the terms containing y, are placed on one side of the equation, while the other terms are placed on the other side as follows;
First step; 3·x + 2·y - 3·x = 4 - 3·x (Subtraction property of equality)
Second step; 2·y = 4 - 3·x
Third step; [tex]\dfrac{2 \cdot y}{2} = \dfrac{4 - 3 \cdot x}{2}[/tex] → y = 2 - 1.5·x (Division property of equality)
y = 2 - 1.5·x = -1.5·x - 2
y = -1.5·x - 2 Equation in slope and intercept form
Therefore, the first step is use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation
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PLZ HELP IM BEGGING YOU. Just answer 12 and 13
Answer:
12 is
[tex]t = \frac{3(r - v)}{2} \\ [/tex]
13 is
[tex]v = \frac{5}{9z - 9w} [/tex]
Step-by-step explanation:
Please mark as brainliest
y + 1 = - 2x
Rewrite the equation in y=Mx+b form
Answer:
the correct answer is Y=-2x-1
Let the graph of g be a translation 3 units up, followed by a vertical stretch by a factor of 2 and a reflection in the x-
Axis of the graph of
f(x) =3x^2-3x write a rule for g
G(x) =
15 points!!!!
Answer:
The answer is [tex]g(x)= -6x(x-1)+3[/tex]
Step-by-step explanation:
we know that f(x) is written as [tex]3x^{2}-3x[/tex]
to show that the graph is being translated up, vertically stretching, and reflecting across the x axis, we need to factor the function.
[tex]f(x)= 3x^{2}-3x \\ 3x(x-1)\\[/tex]
now we can incorporate the changes to this graph.
multiply 3x by 2 and -1. (2 for a stretch and -1 for a reflection).
[tex]-6x(x-1)[/tex]
tack on the +3 to show a translation of 3 units up.
[tex]-6x(x-1)+3[/tex]
therefore, [tex]g(x)= -6x(x-1)+3[/tex]
hope this helps!
The rule for the graph of g after all transformations of the function f(x) = 3x² -3x is;
g(x) = 6x² + 3x + 6
The graph of f(x) is given as;
f(x) =3x^2-3x
According to the parameters given;
First, the graph of g is a translation 3 units up, therefore, we have;
g(x) = f(x) + 3g(x) = 3x² - 3x + 3Secondly, followed by a vertical stretch by a factor of 2 and a reflection in the x axis.
This means that the graph must be multiplied by 2 and x values containing x be now regarded as -x
g(x) = 6x² - 3x + 6And a reflection in the x-axis yields;
g(x) = 6(-x)² -3(-x) + 6g(x) = 6x² + 3x + 6Ultimately, the rule for the graph of g is;
g(x) = 6x² + 3x + 6.
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5⁶ • 5 how do i simplify
What is the domain of the function represented by the graph?
Answer: d
Step-by-step explanation:
The domain of the function that is represented by the graph is: D. x ≥ -7.
What is the Domain of a Function?The domain of a function are all the possible x-values in a function which are plotted against the y-values on the x-axis.
In the graph given, the x-axis where the line starts from is -7, and it extends to infinity to the right.
Therefore, the domain of the function is: D. x ≥ -7.
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its easy question i promise lol
Answer:
Step-by-step explanation:
sure
Simplify the expression
1x(-2+3)x(-9+7)=
Answer:
x=13
Step-by-step explanation:
hehe calculator boy
Answer:
-2x²
Step-by-step explanation:
Line b has a slope of 5/7. Line c has a slope of 7/5. Are line b and line c parallel, perpendicular, or neither?
Answer:
the lines are neither perpendicular or parallel
Rob mixed 3.7 grams of salt into a pot of soup he was cooking. Before he served the soup, Rob added 0.5 grams of salt. How much salt did Rob put into the soup in all?
Answer:
4.2 grams in total
Step-by-step explanation:
Remember to line up the decimal point when adding numbers that contain decimals.3.7
+0.5
_______
4.2
PLEASE HELP QUICK
i don't understand this problem
Answer:
ordered pairs would be my best guess
Step-by-step explanation:
WILL GIVE BRAINLIEST Use the drawing tools to form the correct answer on the grid. Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers. Plot four data points and the line of best fit to model how long it takes Caroline to plant flowers.
I cannot use the drawing tools. But, i can explain it to you.
Make a point where it can be at 7 and 4.
Basically, put a point 4 or 5 blocks right of the 7.
Next, put a point where it can be at 21 and 12.
Basically, put a point 11 or 12 block right of the 21.
Answer:
You will plot (0,0) which is the beginning, then plot (4,7), then if you multiply 7 times 2 you get 14 flowers. With those 14 flowers you will put them on (8,14) 8 minutes 14 flowers, lastly you will put 12 minutes and 21 flowers down which will be (12,21). since there are 21 flowers and 12 minutes.
Step-by-step explanation:
Round 0.8 to the nearest thousandth
Answer:
it is still 0.80
Step-by-step explanation:
you don't need to round, just add a zero
Explicación del ejercicio 3y=-12+3x
Yo i just need an answer and explanation for one and i'll be good for the rest
Answer:
1/5
Step-by-step explanation:
4 red + 4 yellow + 2 blue = 10 in total
2 blue out of all the colors = 2/10
2/10 simplified = 1/5
Answer:
20% or 2/10
Step-by-step explanation:
Since there are 10 slots, and two of them are blue, for each spin there will be a 2/10 chance that the arrow will land on a blue slot.