Answer:
x = 7, x = 5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord.
(1)
27x = 9 × 21 = 189 ( divide both sides by 27 )
x = 7
(2)
12(3x - 5) = 120 ( divide both sides by 12 )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.
The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.
The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.
When t = 0
V = 3 + 2(0) = 3 liter
When t = 1
V = 3 + 2(1) = 5 liter
When t = 2
V = 3 + 2(2) = 7 liter
When t = 3
V = 3 + 2(3) = 9 liter
When t = 4
V = 3 + 2(4) = 11 liter
When t = 5
V = 3 + 2(5) = 13 liter
Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.
Learn more about Time function:
https://brainly.com/question/4025726
#SPJ4
Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point
B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it
C. the line that is a perpendicular bisector of the segment connecting the two points
D. the line that has the given points as endpoints
Answer:
C.
Step-by-step explanation:
The line that is a perpendicular bisector of the segment connecting the two points.
Answer:
C. The line that is a perpendicular bisector of the segment connecting the two points
Step-by-step explanation:
I took the test and got it right.
Solve for X. The question is what does X equal. This is a grade 7 math question.
Answer:
Step-by-step explanation:
Multiply both sides by - 21
-21 x x/-21 + 15 = 13 x -21
x + 15 = - 273
x = - 273 - 15
x = - 288
HELP THIS IS MY LAST PROBLEM
The percentage markup the store made before selling those speakers
are 136.33%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A store bought a set of speakers for $82.86 and sold them for
$195.82.
So, The amount of profit is $(195.82 - 82.86).
= $112.96.
Now, The markup percentage can be obtained by the concept of the percentage change.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (112.96/82.86)×100%.
= 136.33%.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ1
At a certain university, the average attendance at basketball games has been 2,925. This year the attendance for the first 15 games has been 2,515 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. If what are the critical values for this two-tailed t test
The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
population mean assumed to be 2925
sample mean = 2515
standard deviation of sample = 585.
sample size = 15
t-score is indicated because the standard deviation is taken from the sample rather than from the population.
t-score = (x - m) / s
x is the raw score
m is the raw mean of the population
s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.
degrees of freedom = 15 minus 1 = 14.
t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.
you need to know the confidence level.
at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.
since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.
To know more about population mean visit: brainly.com/question/19538277
#SPJ4
Eric lost 65 dollars from his pocket.
Write a signed number to represent this change.
#SPJ1
Two numbers have a sum of 21 and a difference of 6. What are these two numbers?
If the sum of 21 and a difference of 6 then the numbers are 27/2 and 15/2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The two numbers be a and b.
Therefore, (a + b) = 21 and (a - b) = 6.
Adding these two equations, The variable 'b' will cancel out and we'll have
2a = 27.
a = 27/2.
And, 27/2 + b = 21.
b = 21 - 27/2.
b = (42 - 27)/2.
b = 15/2.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6
Answer:
A
Step-by-step explanation:
There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3
What is the length of the missing leg? If necessary, round to the nearest tenth.
The length of the other leg is 65 cm
How to find the length of the other legFrom the question, we have the following parameters that can be used in our computation:
Leg 1 = a
Leg 2 = 72 cm
Hypotenuse = 97 cm
The length of the hypotenuse of the right triangle can then be calculated using
Hypotenuse² = Leg 1² + Leg 2²
Substitute the known values in the above equation, so, we have the following representation
97² = a² + 72²
So, we have
a² = 97² - 72²
Evaluate
a² = 4225
Take the square roots
a = 65
Hence, the other leg is 65 cm
Read more about right triangle at
brainly.com/question/1248322
#SPJ1
Freedom Middle School is holding a fundraiser. The sixth-graders have raised 63% of their goal amount. The seventh- and eighth-graders have raised 0.61 and 2/3 of their goal amounts, respectively. List the classes in order from least to greatest of their goal amounts.
Find angle M and angle J of the isosceles trapezoid
Read the attachment below.
Answer:
The answer is choice c
Step-by-step explanation:
Determine if the card below represents a reflection over the x-axis or a
reflection over the y-axis
Answer:
reflected over x axis
Step-by-step explanation:
What is so yeah can anyone please help me 6(3×-5)=10
What is 2(−2x+1)−5x+2= -23
Answer:
Step-by-step explanation:
To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:
Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.
Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.
Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.
Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.
Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.
Add 23 to both sides of the equation: 25 = -x.
Finally, divide both sides of the equation by -1 to solve for x: x = -25.
Therefore, the solution to the equation is x = -25.
Answer:
x=3
Step-by-step explanation:
2(−2x+1)−5x+2= -23
Distribute
-4x+2-5x+2=-23
Combine like terms
-9x+4=-23
Subtract both sides by 4
-9x=-27
Divide both sides by -9
x=3
Hope this helps :)
GEOMETRY HELP PLEASE!6
HELP!
What is the distance between points (6, -9) and (-3, 4)?
Answer:
4 or [tex]\sqrt{250}[/tex]
Step-by-step explanation:
I used M a t h w a y. it's really helpful. Good luck.
What are the 4 quadrants called?
The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.
The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.
According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.
Here the four quadrants are written as,
Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.
Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.
Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.
Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.
To know more about Quadrant here
https://brainly.com/question/14061041
#SPJ4
HELP!! PLZZZZZZZZZZZZZZZZZZZZZZZ!!!
Answer:
x (greater than or equal to) -53 *The last bubbled option*
Step-by-step explanation:
Help, please
Or else I will send the rock to your house
Answer:
Hi
The answers is
W=36 ÷ 4
what number is in the same ratio to 64 as 5 is to 8
Answer: 102.4
Given ratio 5:8
Let's assume the answer to be x
5÷8 should be equal to 64÷x
∴ x= (64×8) ÷ 5
=102.4
The number that has the same ratio to 64 as 5:8 is gotten as; 40
How to Calculate Ratio?
We have the ratio 5:8.
Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;
x/64 = 5/8
Cross multiply to get;
x = 64 * 5/8
x = 40
A Find the value of the expression.
6/11 x 5/8
Please reduce your answer!
Answer:
You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88. 30/88 reduced is 15/44
Hope this helped
[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]
When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.
[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]
[tex]\dfrac{6\times5}{11\times8}[/tex]
[tex]=\dfrac{30}{88}[/tex]
Reduce to simplest form:
[tex]\dfrac{30\div2}{88\div2}[/tex]
[tex]=\fbox{$\dfrac{15}{44} $}[/tex]
To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score
So, on solving the provided question, we can say that to form a inequality - x * y > 8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here to form a inequality-
let x = goals by each player
y = no. of players
x * y > 8
To know more about inequality visit:
https://brainly.com/question/29914203
#SPJ4
How do you verify that a dilation is a similarity transformation?
A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.
If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.
A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.
For more questions on rotation and dilation
https://brainly.com/question/28558697
#SPJ4
What scale factor was used to create the dilation below centered at point C?
Answer:
-2
Step-by-step explanation:
You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.
Scale factorWe notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.
If up and right are positive, then ...
k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2
The dilation scale factor is -2.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A) y + 1 = -3 ( x - 7 )
Step-by-step explanation:
I used the Desmos website. Hope this helps.
Answer:
A
Step-by-step explanation:
3x + y = 4
y = -3x + 4
y + 1 = -3(x - 7)
Evaluate C=2 pi r for r=8
A. C=10 pi
B. C=16 pi
C. C=28 pi
D. C=16
Answer:
If `r` and `R` and the respective radii of the smaller and the bigger semi-circles then the area of the shaded portion in the given figure is: (FIGURE) `pir^2\ s qdotu n i t s` (b) `piR^2-pir^2\ s qdotu n i t s` (c) `piR^2+pir^2\ s qdotu n i t s` (d) `piR^2\ s qdotu n i t s`
Step-by-step explanation:
Answer:C
Step-by-step explanation:Because I did this
correct answer gets brainlest
Select all of the expressions that could represent 19x50 using
distributive property
1. 19(25x2)
2. 19+25+25
3. (19x25) + (19x25)
4. 19x50
5. 19x25x25
6. (10x50) + (9x50)
Answer:
1. 19(25x2)
Step-by-step explanation:
19 x 25 = 475
475 x 2 = 950
What is the volume of the figure?
Answer:
yes
Step-by-step explanation:
maybe
5 Chapter 3 Test
X
+
orms/d/e/1FAIpQLSe6KTRWYSZGI024oXrwsAChqJkpGlz8jsBYaiJCTAMB-2RfA/viewform?hr_submission=chki
3. What is the value of the 8 in 0.283? Select ALL that apply. *
0.8
0.08
8 x 1/10
8 x 1/100
eight hundredths
Answer:
0.08, 8 hundreths, 8 x 1/100
Step-by-step explanation:
The first digit before the decimal is a unit.
The first digit after the decimal point is called a tenth
The second digit after the decimal point is called hundreths
The third digit after the decimal point is called a thousandths
The 8 is the second digit after the decimal point.
Therefore the answer is eight hundreths or represented by the decimal form of 0.08
It is also 8 x 1/100 because if we multiply this we get 0.08