Answer:
9
Step-by-step explanation:
Let the ratio's unit be x. We have:
3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!
At a certain bookstore you get a $5 dollar coupon for every four books you buy. what is the least number of books you can buy to get $15 dollars in coupons.
Solve d = rt for r
Practice problems algebra
Answer: r=d/t
Step-by-step explanation:
d=rt
d/t=rt/t
r=d/t
Answer:
[tex]r=\frac{d}{t}[/tex]
Step-by-step explanation:
[tex]d=rt[/tex]
Divide both sides by [tex]t[/tex]:
[tex]\frac{d}{t}=r[/tex]
[tex]r=\frac{d}{t}[/tex]
Find the difference of -6-(-7)
Answer:
1
Step-by-step explanation:
When you simplify, the answer is 1.
Answer:
1
Step-by-step explanation:
Farfalla kites owns 3 factories around the globe. In one year, the original factory can make 600 kites, and each of the other factories can make 900 kites. How many kites does Farfalla produce every year
Farfalla produces 2,400 kites every year.
The number of factories Farfalla owns around the globe = 3;
The number of kites produced by original factory every year = 600;
The number of kites produced by each of other 2 factories every year = 900;
Then the total kites produced by both other factories will be = 2 × 900 = 1800;
Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;
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in 2018, the population density in singapore was 21,400 residents per square mile. what is the population density of singapore in residents per square kilometer? (note that 1 mi
The population density of Singapore in residents per square kilometer is 8266.12 per square kilometer
What is Population Density ?
The ability to compare settlement intensities across geographical areas is made possible by population density. The number of persons per square mile of land area is the most common way to express population density in the United States.The given parameters are
Number of people = 21400 residents
Area = 1 mi²
Convert the square mile to square kilometer
1 x 1.609² = 2.588881 Km²
Population density = Number of residents ÷ area
Population density = 21400 ÷ 2.588881
Population density = 8266.12 per square kilometer
Therefore, the population density of Singapore in residents per square kilometer is 8266.12 per square kilometer
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The function h(x) = x^2 - x - 2 / x^2 - x - 6 has a vertical asymptote at x =
A. 6
B. 3
C. -2
D. -1 and 2
E. -2 and 3
Answer:
The function h(x) =x^2-x-2/ x^2-x-6=
E.-2 and 3
Three numbers are in the ratio 2:5:7 and their lcm is 490 find the square root of the largest number
Answer:
49
Step-by-step explanation:
The ratio of three numbers = 2:5:7
Then the numbers are 2x,5x and 7x
Given that the LCM of these numbers = 490
LCM of 2x,5x,7x is 2×5×7×x = 70x
Then, we have 70x = 490
x = 7
Hence, the numbers are 14, 35 and 49
Largest number = 49
∴The square root of the largest number = 7
The lines 4x+6y-5=0 and 2x+4y-3=0 intersect at N. Find the equation of the line through N perpendicular to the line x+2y=0.
4x+6y=5 and 2x+4y=3 are the 2 supplied lines. We must solve two simultaneous equations in order to determine the location at where these two lines cross.
When we multiply the second equation by two, we obtain the result 4x+8y=6. Next, we subtract this from the first equation to get -2y = -1, which equals y=1/2. N's coordinates are therefore (+1/2, +1/2).
The line we need to identify now goes through this point and is perpendicular to the line x+2y=0; its slope is -1/2 (the slope of the line [tex]ax+by+c=0[/tex] is -a/b). With m1*m2=-1, the line perpendicular to this one has a slope of 2. Consequently, the line that we must identify The slope of the equation is 2, and it goes through N. In order to simplify the equation, (y-1/2) = 2*(x-1/2), which results in 2y-1 = 2*(2x-1) and 2y-1 = 4x-2 and 4x-2y-1=0. The necessary equation is as follows.
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PLEASE HELP! Need help quick!
Joaquin started an online music collection with 105 songs. Each week, Joaquin purchases 4 new songs to add to his collection.
Which inequality can be used to find w, the number of weeks after starting his collection, when Joaquin will have more than 200 songs in his collection?
A- 105w+4<200
B- 105w+4>200
C- 4w+105<200
D- 4w+105>200
Answer: The answer will be D
Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C
1 of 6
01:52 / 08:00
When this expression is simplified, what is my final answers
-5(2x - 5)
O 10x + 25
O 52x - 25
O-7x + 25
O-10x + 25
Answer:
-10x + 25
Step-by-step explanation:
We will distribute the - 5 in to 2x which is - 10x
Then distribute - 5 to - 5 which is 25
What is the value of a?
Answer:
15 units
Step-by-step explanation:
By using the Pythagoras Theorem,
C^2 = A^2 + B^2
Substitute in the given values,
25^2 = a^2 + 20^2
625 = a^2 + 400
625 - 400 = a^2 + 400 - 400
a^2 = 225
[tex]a = \sqrt{225} [/tex]
= 15
Hope this too helped! ^^
I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.
Calculate the size of angle t
State any circle theorems that you use
Answer: 48
Step-by-step explanation:
The unknown angle labelled t is solved with the knowledge of the circle theorem which states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
Using this knowledge we have that
t = 2 * 24
t = 48 degrees
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A flagpole makes a 15-foot long shadow. The angle of elevation with the end of the shadow and the ground
makes a 65° angle. What is the height of the flagpole?
Answer:
12.5988 feet.
Step-by-step explanation:
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.
Hope this helps! :)
If a person drives 360 miles at an average of 35 miles per hour, then their distance d from the destination (in miles) is a function of the number of hours h driven.
The required function is d = 360 - 35h, 0 ≤ h ≤ 10.29.
We know that distance travelled is equalled to speed multiplied by time.
Let d be the distance from the destination.
Let d₁ be the distance travelled in h hour.
And h be the number of hours driven.
Given that the average speed is 35 miles per hour.
Therefore, we have d₁ = 35h
And the initial distance from the destination is 360 miles.
Note at time h= 0 the distance from the destination is the maximum which is 360 miles.
Therefore, we have d₁ = 35h
Distance from the destination is 360 - d₁.
⇒ d = 360 - d₁
⇒ d = 360 - 35h
Time taken to reach destination = d/v = 360/35 = 10.29 hours
Therefore the required function is d = 360 - 35h, 0 ≤ h ≤ 10.29
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Suppose that y is directly proportional to x. use the given information to find the constant of proportionality k. then use y = kx to find y for the given value of x. y = 30 when x = 10;find y given x = 14
The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
Constant proportionality:
Constant proportionality means the ratio of two proportional values at a constant value.
Directly Proportional:
In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.
Given,
Suppose that y is directly proportional to x.
And y = kx.
Here we need to find the value of k when the value of x = 10 and the value of y = 30.
And we also need to find the value of y when the value of x = 14.
First, we have to find the value of k by apply the given value of the equation,
=> 30 = k x 10
=> 30 /10 = k
=> k = 3
Now the value of y when the value of x = 14 and the value of k = 3,
Then
=> y = 3 x 14
=> y = 42.
Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
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5 6 7 8 9 10
TIME REMAINING
10:31
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:D) the sum is a binomial with a degree of 6
Step-by-step explanation:
In+a+recent+poll,+64%+of+the+respondents+supported+stricter+gun+laws.+is+this+an+example+of+statistic+or+a+parameter?
In a recent poll, 64% of the respondents supported stricter gun laws is statistic.
What is an example of a parameter?
To describe the entire population under study, a parameter is utilized. For instance, we are interested in learning the typical length of a butterfly. This information about the total butterfly population makes it a parameter.What is an example of a population parameter?
A parameter is a descriptive measure applied to a whole population. Numerous population parameters exist. For instance, the population size (N) is one parameter, while other parameters that relate to continuous variables are the population's mean diastolic blood pressure or mean body weight.Learn more about population parameter
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The black graph is the graph of y=f(x)
4=2x+y
-6x-3y=-12
Elimination
Answer:
infinitely many solutions
Step-by-step explanation:
4=2x+y
-6x-3y=-12
First, line up the variables in the right place
4=2x+y
-12=-6x-3y
Choose the variable you want to eliminate, I will do x
Multiply everything in the first equation by 3
3(4)=(2x+y)3
-12=-6x-3y
Simplify
12=6x+3y
-12=-6x-3y
If we combined everything, it would all cancel
This means there are infinitely many solutions
How would you write 730,812 in word form?
Answer Seven hundred and thirty thousand eight hundred twelve
A fraction is equivalent to 2/3. The product of its numerator and denominator is 216. What is the fraction?
Ed’s class went on a class picnic. Ed’s teacher packed 20 sports drinks in a cooler for Ed and his classmates. Eight of the sports drinks were orange-flavored. What is the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler? Choose from the numbers listed below to create the correct ratio.
The ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.
What is Ratio?
In mathematics, Ratio is a term that is used to compare two or more numbers.
Given that their are 20 sports drinks in a cooler out of which 8 are orange flavored. Therefore, we can write that -
Number of orange flavored bottles = n[O] = 8
Total number of bottles = n[T] = 20
We can calculate the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler as follows -
Total number of non - orange flavored bottles will be -
n[C] = n[T] - n[O]
Now, the ration of non - orange bottles to the total number of bottle's can be written as -
n[C] / n[T]
(n[T] - n[O]) / n[T]
(20 - 8) / 20
12 / 20
3 / 5
Assume that the ratio is denoted by R. Therefore -
R = 3 : 5
Hence, the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.
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Options are
A. (-3, -1)
B. (3,1)
C. (6,4)
D. (2,6)
Answer: D
Step-by-step explanation: 2,6
Simplify: (2 3/5)+(-3 3/4)
Answer:
-23/20
Step-by-step explanation:
How do you calculate the X and Y coordinates of the vertex when the equation is in standard form?
If the quadratic is y = a*x^2 + b*x + c
the coordinates of the vertex are:
x = -b/2a
y = (1/2a)*( -0.5*b^2 + c)
How to find the coordinates of the vertex?For a quadratic equation in standard form:
y = a*x^2 + b*x + c
The x-value of the vertex is given as:
x = -b/2a
Once we get the x-value of the vertex, we can get the y-value by evaluating the quadratic equation in x = -b/2a, we will get:
y = a*(-b/2a)^2 + b*(-b/2a) + c
y = b^2/(4a) - b^2/2a + c = (1/2a)*(b^2/2 - b^2 + c)
y = (1/2a)*( -0.5*b^2 + c)
Then the coordinates of the vertex are:
x = -b/2a
y = (1/2a)*( -0.5*b^2 + c)
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HELPPPPP PLEASE. PLEASE TELL ME THE BLANKS IN ORDER.
What does the pair of equations y = 1, z = 7 represent? in other words, describe the set of points (x, y, z) such that y = 1 and z = 7.
The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.
What is intersection of planes?In geometry, a plane is a flat plate which extends in all directions to infinity.
Intersecting planes are non-parallel planes that always intersect in a straight line.The two planes cannot cross more than one line.A good illustration of intersecting planes is the two connecting borders, the binding side of a book, where all of the papers (planes) meet.Now, as per the question;
Consider the following equation.
y = 1 denotes a vertical plane in the xy plane.
Z = 7 denotes a horizontal plane parallel to the xy plane.
Both planes intersect and are perpendicular to each other.
y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.
Therefore, the points are (0,1,7), and also the line is parallel to the x axis.
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50 < = x >= 1000 inequality
The solution to the given inequality is x≥50.
The given inequality is 50≤x≥1000.
What is inequality?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now,
Move all terms not containing x from the centre section of the inequality.
Inequality Form: x≥50
Interval Notation: [50,∞)
The solution to the inequality is marked on the number line.
Therefore, the solution to the given inequality is x≥50.
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what is the median of 0,4,8,5,3,5,5,5,1
Answer:
The median is: 5
Hope this helps! <3
Answer:
Step-by-step explanation:
5
The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 10 feet more than twice its height. If the area of the triangle is 126
square feet, determine the length of the base and the height of the triangle in feet.
foot
The length of both the triangle's base and height in feet.
length of base = 32ft
height = 14 ft.
The triangle's base and height:The base of a triangle can be any of its sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.
According to the given data:Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.
A = ¹/₂bh
b = length of base
h = height
the base of the triangle is 10 feet more than twice its height, we have that
b = 2h + 10
A = ¹/₂bh
A = ¹/₂(2h + 10)h
A = h² + 5h
Since the area of the triangle is A = 126 ft², we have that;
h² + 5h = 126
h² + 5h - 126 = 0
h² +(14h -9h) - 126 = 0
h² +14h -9h - 126 = 0
h(h + 14) -9(h + 14) = 0
(h + 14)(h - 9) = 0
Hight cant be negative:
h = 14
Length of the base is b = 2h + 10
b = 2h + 10
b = 2(14) + 10
b = 28 + 10
b = 35 ft
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