The two equation that represents the information is x + y = 150
y = 3x
How to form an equation?
let
the number of rock music = x
the number of alternative music = y
Therefore,
x + y = 150
y = 3x
The two equation that represent the information are as follows:
x + y = 150
y = 3x
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sophie leaves school and travels east at an average speed of 40km/h, jenny leaves school one hour later and travels west at an average speed of 50km/h, determine how many hours after jenny leaves school they will be "400km" apart
Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.
How will their position change over time?Jenny:
1 hour later: 40 km east2 hours later: 80 km east3 hours later: 120 km east4 hours later: 160 km east5 hours later: 200 km eastSophie:
1 hours later: 0 km2 hours later: 50 km west3 hours later: 100 km west4 hours later: 150 km west5 hours later: 200 km westWhen wil they be 400 km apart?It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.
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this is an escape room i can't escape
Answer:
The area of the rectangle is 180 units
Step-by-step explanation:
6 + 2 + 2 = 10
But the areas of each sectioned off shape are
Big rectangle = 180
Small rectangle = 48
2 by 8 triangles = each 8
3 by 8 triangles = each 12
Altogether, it's 268
Answer:
268 square yards
Step-by-step explanation:
small L rectangle 8 x 6 =48
two L triangles 2 * 1/2 * 2 * 8 = 16
Large rectangle 18 x 10 = 180
two R triangles 2 * 1/2 3 x 8 =24 Total = 268 yds^2
There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
The action to choose two among the seven seniors to be cocaptains is a combination and there are 21 different choices.
What is a the difference between permutation and Combination?The major difference between permutation and Combination lies in the fact that the different ways of arranging a set of objects into a sequential order are termed as Permutation while one of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
On this note, the action is a combination and the number of ways is; 7!/5!2! = 21.
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A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.
Answer:
22.8 m
Step-by-step explanation:
the 2 situations are similar triangles
the ratio of corresponding sides are in proportion
let h be the height of the tree , then
[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )
1.3h = 29.64 ( divide both sides by 1.3 )
h = 22.8 m
grace likes jeffery what will she do ?
Answer:
2,964
Step-by-step explanation:
52 x 57 = 2,964
Consider the following shape. Find the value of x. Round your answer to two decimal places.
Answer: 7.81
Step-by-step explanation:
can anyone tell me what angle Y is?
Answer:
Step-by-step explanation:
93 + y = 180
y = 180 - 93
y =87 Degrees
Answer:
87°
Explanation: The angles y and 93° are supplementary angles.
Therefore, subtract 93° from 180°, and voila! You got the answer.
If Saul CANELO Alvarez has 8 belts how many belts would he have it 34 were taken away
Answer:
42
Step-by-step explanation:
I would guess that Saul had 42 belts before because 42-34 is 8
Question: Write an equation for this.
You have total 100 coins
that consist of 50 cents
and 10 cents. The total
money is 34 dollar. Find the
number of the 50 cent
coin.
To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.
System of EquationThe given data in this problem are
number of coins = 10050 cents = x10 cents = yamount = $34The system of equations can be written as
[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]
Let's start with equation (i)
[tex]x + y = 100\\\\y = 100 - x[/tex]
Substitute equation (iii) into equation (ii)
[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]
From the calculations above, the number of 50 cents coins are 60.
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The volume of a cylinder is 4πx3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
: 2x, 4x
Expression represents the radius of the cylinder, 2x units.
What is a cylinder?
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
Given that:
Volume of cylinder =[tex]4\pi x^{3}[/tex]
we know that, Volume of cylinder = [tex]\pi r^{2} h[/tex]
[tex]4\pi x^{3}[/tex]= π * [tex]r^{2}[/tex] *h
[tex]4x^{3} = r^{2}*h[/tex]
[tex]4x^{3} = r^{2}*x[/tex] [since, height=x]
[tex]4x^{2} = r^{2}[/tex]
r= 2x
Hence the radius of the cylinder is 2x units
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Erin has four shirts (whites, blue, red, black) and two pairs of pants (black, blue). She randomly chooses a shirt and a pair of pants. what is the probability that they are the same color?
Answer:
25%
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below solve for X
Answer:
29 degrees
Step-by-step explanation:
The interior angles of all triangles equals 180. We know already that we have 101 and 50 degrees. If we add that, we get 151. To find x, we have to simply subtract 151 from 180. If we do this, we get 29. x=29.
Hope this helps!
Find the sum of 2/3 and it’s additive inverse
Answer:
0
Step-by-step explanation:
2/3 additive inverse is 2/3
-2/3+2/3 is neutral = zero
-2/3+2/3 = 0
n the diagram, what is AC?
A.
6
B.
12.33
C.
10
D.
12
Answer:
since we are not given the value of AC we say that AC =6×10=60
Write 0.030 in scientific notation
Please help :)
a bicyclist rides 25 miles every 2 hours during race which equation represents the relationship between the number of miles and the number of hours of the bicyclist rides? let x represent the number of hours and let y represent the number of miles?
Answer:
y=12.5x
Step-by-step explanation:
X=-3
A. 64
B. 8
C. 4
D. 16
Answer:
The answer is A.
Step-by-step explanation:
I took the test
please answer this for me
Answer:
600 + 161 = 761
Step-by-step explanation:
599 + 162 = 600 + 161 = 761
The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a moving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation.
Answer:
Hello!!!
In this specific case the constant of proportionality is s (speed).
Step-by-step explanation:
The constant of proportionality stay "constant" (as the name suggests) in a certain case.
meaning, the speed itself remains constant at any given distance or time.
You can use the constant of proportionality and either distance or time to find the missing varliable since it remains constant.
you can also switch up the formula:
d=st
t=d/s
s=d/t
i really hope this helps!!!!!
What is the length of line segment b c? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.
The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in
SOH CAH TOA identityThe given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:
cos 35 = a/25
where a = BC
cos 35 = BC/25
BC = 25cos 35
BC = 20.5in
Hence the length of BC as shown in the diagram is 20.5in
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what is the measurement of angle B
Answer:
41 degrees
Step-by-step explanation:
All of the angles must add up to 360 degrees to form a circle. So we have 22 + b + 297 = 360. Solving for b, we get b = 41.
David bought a computer that was 20%
off the regular price of 1,080.if an 8%
sales tax was added to the cost of the
computer what was total price david
paid for it
Answer:
The total price David paid for the computer is $933.12
Step-by-step explanation:
The cost of the computer will be $1,080 with 20% off and 8% sales tax.
20% of 1080 is 1080(0.20)=216 this means 216 is 20% of 1080, so with the discount the price will be 1080-216=$864
Now we have to find 8% of 864.
864(0.08)=$69.12
So the total price will be 864+69.12= $933.12
Divide and write the quotient as a decimal
Answer:
0.16666666666667.
Step-by-step explanation:
6
7
2
5
The usual price of a TV set was $400. During Memorial Day weekend, the price was marked down to
$335. What was the percent decrease in the price of the TV set?
сл
Answer:
The answer is 65% is the percent decrease
Find the area of the rhombus
[tex]60cm^{2}[/tex]
Step-by-step explanation:
A=pq/2
shorter diagonal= 8cm
longer diagonal = 15cm
15*8 = 120
120/2 = 60
A = [tex]60cm^{2}[/tex]
The area of a circle is 60.12cm find the length of the radius rounded to 2 dp.
Answer:
Before you write the answer to your question, make sure the question is asking for the actual value of pi or 3.14.
If the question was asking for the question to be completed with the ACTUAL VALUE of pi, then your answer is ----> 4.37
If the question was asking for the question to be completed with the rounded of pi (3.14), then your answer is ----> 4.38
It's a subtle difference, but remember, there is no such thing as close in math, it's either right or wrong.
Step-by-step explanation:
Given: Circle's Area, 60.12
As the value of pi was not directly stated, I will divide the answer into 2 portions, portion one with the answer with the actual infinite value of pi, and one where I will describe how to do it with 3.14 as pi.
Explanation with 3.14:
First thing first, know the formula for calculating the area of a circle:
[tex]A = \pi r^2[/tex]
[tex]A[/tex] stands for Area, and [tex]r[/tex] stands for Radius
Now, plug in the given values:
[tex]60.12 = \pi r^2[/tex]
Next, replace 3.14 for pi:
[tex]60.12 = (3.14)r^2[/tex]
Then, divide both sides by 3.14 ,which gives us:
[tex]19.15 = r^2[/tex]
Please note: 19.15 is rounded
Anyway, to isolate [tex]r[/tex], we take the square root of both sides:
[tex]\sqrt{19.15} = \sqrt{x^2}[/tex]
The square root and square on the right side of the equation cancel out, and we are left with:
[tex]4.38 = r[/tex]
Please note that 4.38 was rounded
find x and y…………….????????
Answer:
[tex]let \: \alpha \: be \: the \: 45 \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(45) = \frac{x}{3 \sqrt{2} } \\ 1 = \frac{x}{3 \sqrt{2} } \\ x = 3 \sqrt{2} \\ by \: using \: pythagoras \: therom \\ {y}^{2} = {3 \sqrt{2} }^{2} + {3 \sqrt{2} }^{2} \\ {y}^{2} = 18 + 18 \\ y = \sqrt{36} \\ y = 6[/tex]
Step-by-step explanation:
hope this will help you
what can Tiffany conclude from the data above?
A person who has only a high school diploma, they are most likely to have an income of less than $40,000.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The probability of a high school diploma person having less than $40,000 income will be
P(HSD) = 51/78
P(HSD) = 0.6538
The probability of a Bachelor's degree person having less than $40,000 income will be
P(BD) = 24/78
P(BD) = 0.3077
The probability of a master's degree person having less than $40,000 income will be
P(MD) = 3/78
P(MD) = 0.0385
A person who has only a high school diploma, they are most likely to have an income of less than $40,000.
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A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?
I aded the graph
Answer:
D. 80
Step-by-step explanation:
The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.
200 × .375 = 75
75 rounded to the nearest tens value is 80
What is the image point df (-2, -3) after a translation right 2 units and up 4 units?
Answer:
(0, 1)
Step-by-step explanation:
right 2 units: add 2 to x
up 4 units: add 4 to y
Answer: (0, 1)