Determine if the system has a solution, if so how many?
A) X-y=4 and 2x-2y=1
B)x-4y=0 and2x+4y=3
C)x-2y=1 and 4x-8y=4
PLEASE HELP DUE BY NOON
A) System doesn't have a solution.
x-y=4
2x-2y=1
x=4+y
2(4+y)-2y=1
8+2y-2y=1
8≠1
B) System has one solution.
x-4y=0
2x+4y=3
x=4y
2(4y)+4y=3
8y+4y=3
12y=3
y=1/4
C) Every solution is right for the system.
x-2y=1
4x-8y=4
x=1+2y
4(1+2y)-8y=4
4+8y-8y=4
4=4
2. Solve the inequality and graph the solution
V-6 ≥ 4
Answer:
V≥10
Step-by-step explanation:
V−6≥4
Add 6 to both sides.
V≥4+6
Add 4 and 6 to get 10.
V≥10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)
The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.
Answer:
377 square centimeters
Step-by-step explanation:
Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.
First find the radius, in the problem it says a diameter of 10cm
Divide 10 by 2 to find the radius = 5
I'm going to use 3.14 as Pi
7(2×3.14×5)
7(31.4) = 219.8
Next part, solving for the 2 circles
Formula: 2×pi×radius²
2×3.14×5²
solve 5² first (5×5) = 25
2×3.14×25 is 157
add 219.8 and 157 = 376.8 round to 377
Answer: 377 square centimeters
what is the slope of line QX? X(5,5) and Q(4,1)
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]
Answer: 4
Step-by-step explanation:
Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).
For point Q (4,1) the y-value is 1 and the x-value is 4.
For point X (5,5), the y-value is 5 and the x-value is 5.
To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.
The numerator divided by the denominator equals the slope.
(5-1)/(5-4) = (4)/(1) = 4
what would you do to solve the system: y=x+3 and y=x^2+x-6
What is the equation of the circle pictured?
Explain your reasoning.
Answer:
(x+2)^2 + (y-4)^2 = 4^2
Step-by-step explanation:
A circle is x^2 + y^2 = 1 , where r = 1
The radius of that circle looks to appear to be r = 4.
x^2 + y^2 = 4^2
Transition that circle origin from (0,0) to (-2,4)
The origin is (-2,4) which mean h = -2 left and k = 4 up.
(x-h)^2 + (y-k)^2 = 4^2
(x-(-2))^2 + (y-4)^2 =4^2
Helppp plssssss!!!!!!
given the room below describe how you would find the perimeter and area?
Xavier and Carlos have a bet to see who can get more “friends” on a social media side after 1 month. Carlos has 10 more friends than Xavier when they start the competition. After much work, Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends.
a. Write a system of equation that matches the verbal description given below if
c = number of Carlos’ friends and x = number of Xavier’s friends.
The system of equations that describes the situation is given by these two following equations:
c = 10 + x.2c + 3x = 160.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are c and x.
Carlos has 10 more friends than Xavier when they start the competition, hence:
c = 10 + x.
Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:
2c + 3x = 160.
More can be learned about a system of equations at https://brainly.com/question/24342899
A local band spent $2,000 to record and make 400 CDs. They sold all of their CDs and made a profit of $500. How much did they charge for each CD?
Answer:
$6.25 for each CD
Step-by-step explanation:
6.25 x 400 = 2,500
2,500 - 2,000 = 500
there is a 500 profit
Calculate the perimeter of the figure
Answer: 76 meters
Step-by-step explanation:
top side left blank = 18 because it is congruent to the bottom
left side blank is 4 + 4 + 4 (right side lengths added)
left side blank is 12
add all side lengths together for perimeter
12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76
76 meters
Which caculation and answer show how to convert 3/12 to a decimal?
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)
3/12=0.25
Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
100 POINTS IF YOU ANSWER CORRECTLY AND ILL GIVE BRAINLIEST
Semi perimeter:-
[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]
[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]
[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]
Apply heron s formula
Area:-
[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]
[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]
Answer:
[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]
(where b is the base of the triangle and h is the height)
Given:
base = 2.4 cmheight = 1.8 cmSubstitute the given values into the formula:
[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]
[tex]\sf =2.16 \ cm^2[/tex]
What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000?
Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].
For samples of 64, the standard error is given by:
[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]
The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:
X = 58300:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{58300 - 57300}{1200}[/tex]
Z = 0.83
Z = 0.83 has a p-value of 0.7967.
X = 56300:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56300 - 57300}{1200}[/tex]
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
0.7967 - 0.2033 = 0.5934.
0.5934 = 59.34% probability that there is an error of at most $1000.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Will be deleted at 3:30
Answer:
240.73 mmStep-by-step explanation:
The hour hand is 20 mm and the minute hand is
200% of 20 mm = 2*20 mm = 40 mm longThe tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.
Find each length and their difference using circumference formula.
C = 2πrHour hand
1/12*(2*3.14*20) = 10.47 mm (rounded)Minute hand
2*3.14*40 = 251.2 mmThe difference between the two above
251.2 - 10.47 = 240.73 mmAnswer:
230.38 mm
Step-by-step explanation:
The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.
[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]
Radii
Larger circle (minute hand):
r = 200% of 20 mm = 40 mmSmaller circle (hour hand):
r = 20 mmMinute Hand
The minute hand does a full rotation of the circle in one hour.
Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:
[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]
Hour Hand
There are 12 numbers on a clock.
The hour hand travels from one number to the next in one hour.
Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:
[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]
To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:
[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]
HELPPPPPPPPPPPPPPPPPPPP
Answer:
I think the modes are: 20 ,18 and 19
Ben bought 4 pints of apple juice. he drinks 1/3 pint each day. how many days will the apple juice last ben?
Answer:
12 days
Step-by-step explanation:
Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.
Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.
What is the function for the ball's height?The height when x feet are traveled is given by:
h(x) = -0.5x² + 6x + 4.
When the height is of 20 meters, we have that h(x) = 20, hence:
20 = -0.5x² + 6x + 4.
0.5x² - 6x + 16 = 0
x² - 12x + 32 = 0
(x - 8)(x - 4) = 0
For the first time: x - 4 = 0 -> x = 4.
The snowball traveled 4 feet when the height is 20 feet.
More can be learned about functions at https://brainly.com/question/25537936
25 POINTS! Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. She starts by mixing 2.5 cups of water with 4 cups of flour. How many more cups of water does she need?
Answer: Below
Step-by-step explanation:
We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.
We already have 2.5 and 4, so we make the equation:
2.5 + x = 12
Simplify.
x = 7.5
Our answer is 7.5
The angles X, of a tree blowing from the vertical, are distributed
according to the probability distribution shown.
What is the probability that the tree's angle, from the vertical, will
be greater than 4 degrees?
0.1
0.7
0.9
1
Using the uniform distribution, it is found that there is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, the bounds are a = 3 and b = 13, hence:
[tex]P(X > 4) = \frac{13 - 4}{13 - 3} = 0.9[/tex]
There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
More can be learned about the uniform distribution at https://brainly.com/question/13889040
Answer:
There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
Step-by-step explanation:
just took the test :D
Find the area of the rug. DO NOT ROUND.
what is the area?
Answer:
[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]
Step-by-step explanation:Given:
Diameter of rug = 6 feetTo find the area of the rug, we need to use the formula "πr² or π(D/2)²"
Where:
r = radius d = diameterSince we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.
⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]
⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]
⇒ [tex]\pi (3 )^{2}[/tex]
⇒ [tex]\pi (3 )(3)[/tex]
⇒ [tex]9\pi[/tex]
Substituting "22/7" as π:
⇒ [tex]9(\frac{22}{7} )[/tex]
⇒ [tex](\frac{198}{7} )[/tex]
When finding the area of ANY shape, do not forget to include the units.
⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]
Answer:
28.26 ft²
Step-by-step explanation:
Formula:
[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]
Determining the radius of the circular rug:
To determine the radius, we need to divide the diameter by 2.
Given diameter: 6 feet
[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]
[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]
[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]
Replacing the radius in the formula:
[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]
Determining the area of the circular rug:
[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]
[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]
Replacing π as 3.14 (Approx. measure of π):
[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]
[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]
The measure of the complement of an angle is 40 less than the measure of the supplement of the angle. Find the measure of the angle.
Step-by-step explanation:
x is the angle.
complementary angles are adding up to 90°.
supplementary angles are adding up to 180°.
so,
90 - x = (180 - x) - 40 = 140 - x
0 = 50 ? no
there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.
because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.
so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.
so, either there was a mistake in the question, or this is a trick question.
under the given circumstances, there is no solution possible.
42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft
Answer:
just awnsering for the points sorry man
Step-by-step explanation:
Need help on this question
Answer: 36 degrees
Step-by-step explanation:
Which is the BEST definition of dilation?
A. a transformation that either reduces or enlarges an object in the coordinate plane
B. a transformation that flips an object in the coordinate plane
C. a transformation that spins an object in the coordinate plane
D. a transformation that either slides or shifts an object in the coordinate plane
Answer:
A. a transformation that either reduces or enlarges an object in the coordinate plane
Step-by-step explanation:
The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.
Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.
What is the measure of each angle in the circle?
60°
90°
30°
72°
Answer:
~Lord
The magnitude of the degree in a circle is. there are 5 angels in a circle
measure of each angle:
degree of circle ÷ numbers of angle360° ÷ 5 72°so measure of each angle is 72°
Step-by-step explanation:
As Per Provided Information
Number of sector in given circle is 5
As we know sum of all angles in a circle at centre is 360° .
Since number of sector is given and we are asked to find the measure of each angle in given circle .
[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]
Now put the value in above equation and we obtain
[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]
Therefore,
Measure of each angle is 72° .Use the points in the diagram to name the figure.
D) Line JK
<----->
JK
Hope it helps :)
Each railroad car in a train set is 6 inches in length.the railroad track is 5 feet long .how many railroad cars can fit on the track
Answer: 10 cars
Step-by-step explanation:
We know that:
A railroad car is 6 inches long and the railroad track is 5 feet long
Start by converting feet to inches. You can do that by multplying the amount of feet by 12.
5 feet x 12 = 60 inches
Now we can divide the length of the railroad track by the length of the railroad cars to see how many we can fit.
60 ÷ 6 = 10
What quadrilateral can you draw the has exactly one pair of parallel sides
Answer:
I belive that will be a trapazoid
Step-by-step explanation:
Both sides on the top and bottom are parallel
Please tell me if im wrong!
Answer:
Trapezium
Step-by-step explanation:
It has exactly one pair of parallel sides
One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.
Answer:
70 degrees
Step-by-step explanation:
rectange angle total = 360
1 corner = 90
90-20 = 70