Answer:
C.
yes; y = 1.8x
Step-by-step explanation:
Answer for the question :
Yes, Y varies directly with X, and the equation is :
Y = 1.8X
NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.
Y = 1.8 x X
5.4 = 1.8 x 3
12.6 = 1.8 x 7
21.6 = 1.8 x 12 (Q.E.D.)
That’s the answer, good luck in solving the question!
:-)
ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc
The linear equation is given as y = 1.8x, Then the correct option is C.
What is the equation of a line passing through two points?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table is given below.
x y
3 5.4
7 12.6
12 21.6
Then the linear equation is given as,
[tex]\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)[/tex]
Simplify the equation, then we have
y - 5.4 = 1.8(x - 3)
y - 5.4 = 1.8x - 5.4
y = 1.8x
The linear equation is given as y = 1.8x, Then the correct option is C.
More about the line passing through two points link is given below.
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What is the answer to this multi step equation 3(x-4)=2(-2x+1)
Answer:
2
Step-by-step explanation:
3(x-4)=2(-2x+1)
3x-12=-4x+2
3x-(-4x)-12=2
3x+4x=2+12
7x=14
x=14/7
x=2
the principal likes to keep the ratio of students to teachers at 24:1 if he has hired 32 teachers then how many students are expected to enroll
Answer:
768 students are expected to enroll
Step-by-step explanation:
24 : 1
? : 32
24 times 32 = 768
The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.
Check out the image
Answer:
oop, okay
Step-by-step explanation:
Answer:
twitter should work
go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up
example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites
Step-by-step explanation:
Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Answer:
52 / 1,560
Step-by-step explanation:
18 / 30
? / 1,560
1,560 / 30 = 52
52 / 1,560
a man borrows money 800 for 2 years at a simple interest rate 20%. what is the total amount that must be repaid?
Answer:
3200
Step-by-step explanation:
Simple interest = [ (Principle x Rate x time) /100 ]
Substitute all values: (800 x 2 x 20)/100 = 3200
Hope this helps
Answer:
1120
A=p+I I = prt/100=800x20x2/100=320
A= P+I=800+320=1120
Which of the following shows a group of possible angles a triangle could have?
A. 10 degrees, 20 degrees, 190 degrees
B. 30 degrees, 60 degrees, 60 degrees,
C. 60 degrees, 90 degrees, 90 degrees
D. 50 degrees, 60 degrees, 70 degrees
Answer:
D) 50, 60, 70
Step-by-step explanation:
The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.
50+60+70= 180 degrees
Hope this helps
Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.
Answer:
[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]
answer:10×2=20
5×3=15
Answer:
y = 7.5
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 20
10 = 20k ( divide both sides by 20 )
[tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation
When x = 15 , then
y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5
find the gradient of the line segement between the points (0,-6) and (2,-16)
answer = 5
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
Solve for [tex]x:logx 37 = 2[/tex]
x^2=37 ===》 x = + radical 37( acceptable )
===》 x = - radical 37(unacceptable)
Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *
Answer:
$135
Step-by-step explanation:
She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.
Gary took a trip to bikini bottom. He recorded his progress along the way in the following table
Where is the table?
10. The figure is a rectangle. What is x?
28
Answer:
152
Step-by-step explanation:
180 minus 28 is 152 degrees
Plz help me out thanks
Answer:
360 cubic units
Step-by-step explanation:
height = 4 units
length = 10 units
breadth = 6 units
Volume of a cuboid = l × b × h
V = 10 × 6 × 4
V = 10 × 24
V = 240 cubic units
Now a scale factor of 1.5 units is applied to the dimensions,
new volume = 240 × 1.5 = 360
∴ New volume of the prism = 360 cubic units
Answer:
240 cubic units
Step-by-step explanation:
A trout swam at a steady speed for 1.5minutes. It swam 9,900 centimeters in that time. What was its speed?
Answer:
6,600 cm per minute
Step-by-step explanation:
I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.
plz help me pls
8 hr = _________ min
30 min = _________ s
15 hr = ___________ min
5 yr = ____________d
7 d = ____________ hr
24 hr = __________ min
600 s = __________ min
60,000 min = __________ hr
Answer:
8hr=480min
30min=1800sec
15hr=900min
5yr=1825d
Step-by-step explanation:
I need help please!!!!
Answer:
Step-by-step explanation:
Maybe A Emma, but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws :/
Gina is four years younger
than twice David's age. Gina
is 18. How old is David?
Answer:
44
Step-by-step explanation:
Gina is four years younger so
18+4=22
since its twice davids age
22×2=44
30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?
Answer:
There are 50 students in total in the school play, acting and working behind the scene.
Step-by-step explanation:
Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:
100%-30%=70%
Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:
70% → 35
100% → x
x=(100*35)/70
x=50
According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.
A triangle has one angle that measures 100 degrees. If the other two
angles are isosceles, what is the measure of these two angles? (Have to submit In 15 minutes)
Answer:
40
Step-by-step explanation:
180 -100 = 80
80/2 = 40
Find the perimeter of this shape please help I will award brainlisest
Answer:
22 cm
Step-by-step explanation:
Answer:
The shape is made up of a square and a rectangle.
So calculating the area of both the figures and then adding them would give us the required result.
Area of square = (a)² = (4)² = 16 sq unit.
Area of rectangle = l×b = 3×2 = 6 sq unit.
Now, the required area = 16 + 6 = 22 sq unit.
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?
If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.
The snowcone is a sphere.
Volume of a spherevolume = 4 / 3πr³
where
r = radiusTherefore,
volume of the snowcone = 4 / 3 × π × 4³
volume of the snowcone = 256 π/ 3 = 85.33π
Therefore, the volume of the cone canbe found as follows:
volume of the cone shaped paper = 1 / 3 πr²h
h = 12 cm
r = 6cm
volume of the cone shaped paper = 1 / 3 × π × 6² × 12
volume of the cone shaped paper = 144π
Therefore, let find if the ice melt in the cone whether it will overow.
144π - 85.33π = 58.67π
Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.
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Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?
Answer:
Anas= RS 1200
Ahsan= RS 800
Step-by-step explanation:
Given data
Amount= Rs 2000
Ration= 6:4
Combined ratio = 6+4= 10
Let us apply the part to all method to solve for the individual amount
For Anas
2000/10= x/6
cross multiply
10x= 2000*6
10x= 12000
x= 12000/10
x= 1200
For Ahsan
2000/10= x/4
cross multiply
10x= 2000*4
10x= 8000
x= 8000/10
x= 800
BRAINLY TO WHOEVER HELPS
Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10
Answer:
A, C and D
Step-by-step explanation:
B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go
Please find the missing angle of this Shape.
Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?
Answer:y=-3
Step-by-step explanation:
The value of the asymptote of the function is,
⇒ y = - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
g(x) is an exponential function shown in the graph.
We know that;
On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.
Hence, From graph,
The value of the asymptote of the function is,
⇒ y = - 3
Thus, he value of the asymptote of the function is,
⇒ y = - 3
Learn more about the function visit:
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you can combine radical expression by adding or subtracting if they have the same index and radicand. True or false
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Two of the radicals have the same index and radicand, so they can be combined. Rewrite the expression so that like radicals are next to each other. Combine. Although the indices of and are the same, the radicands are not—so they cannot be combined.
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves wasabout 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theoryis that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the populationproportion of female wolvesis now less than 50% in the region?
This question is incomplete, the complete question is;
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01
Answer:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.
Step-by-step explanation:
Given the data in the question;
Hypothesis;
H₀ : p ≥ 0.5 { 50% }
H₁ : p < 0.5
This is a lower tailed test { H₁ : p < 0.5 }
sample size n = 34
number of female wolves x = 10
sample proportion p" = x / n = 10 / 34 = 0.2941176
claimed proportion P = 0.5
significance level ∝ = 0.01
we determine the standard deviation of p"
σ[tex]_{p"[/tex] = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]
= √[ (0.5 ×0.5) / 34 ]
σ[tex]_{p"[/tex] = 0.08575
Test statistics
[tex]z_{observed[/tex] = (p" - 0.5) / σ[tex]_{p"[/tex]
[tex]z_{observed[/tex] = (0.2941176 - 0.5) / 0.08575
[tex]z_{observed[/tex] = -2.40
so
Test statistic : -2.40
Since its a lower tailed test;
P-value = P( Z < [tex]z_{observed[/tex] ) = P( Z < -2.40 ) = 0.0082
Rejection criteria: Reject H₀ if p-value < ∝
Decision:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.
Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)
Answer:
Step-by-step explanation:
The hypotenuse is 200 meters.
The angle making the ground and the Hypotenuse is 7 degrees.
The trig relationship needed is the cosine.
Cos(7) = x / 200 Multiply both sides by 200
200*cos(7) = x
200* 0.9925 = x
x = 198.51
The calculator held the actual answer of cos(7)