Answer: 21.3
Step-by-step explanation:
1. Cross multiply
8(8) = 3(x)
2. Simplify
64 = 3x
3. Divide by 3 on both sides to get the variable by itself
64/3 = 3x/3
4. Simplify
21.3333333333 = x
you can round the answer to the nearest tenth, which would be 21.3
Draw a number line to show 2/8 and 4/16 are equivalent.
Step-by-step explanation:
think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.
In triangle JKL, angles J and L each measure 51° and JK = 18. Triangle PQR is similar to triangle JKL, where J corresponds to P, K corresponds to Q, and QR = 36. Which expression represents the length of segment PR?
Answer:
Step-by-step explanation:
Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:
(PR)/(JK) = (PQ)/(JL) = (36)/(18)
Cross multiplying and solving for PR, we find:
PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36
A blue rope is 3 times as long as a red rope. A green rope is 4 times as long as the blue rope. If the total length of the three ropes is 563.84 meters, what is the length of the blue rope?
Answer:
105.72 meters
Step-by-step explanation:
We can set up a system of equations to represent the information given in the problem, and then use algebra to solve for the length of the blue rope. Let x be the length of the red rope.
According to the problem statement:
blue rope = 3 * red rope = 3x
green rope = 4 * blue rope = 4 * 3x = 12x
we know that:
red rope + blue rope + green rope = 563.84
x + 3x + 12x = 563.84
then we can solve for x:
16x = 563.84
x = 35.24
So the length of the red rope is 35.24 meters.
The length of the blue rope is 3x = 3 * 35.24 = 105.72 meters.
Suppose that 2 balls are chosen without replacement from an urn containing 5 white and 8 red balls. Let X1 equal 1 if the 1st ball selected is red, and let it equal 0 otherwise. Let X2 equal 1 if the 2nd ball selected is red, and let it equal 0 otherwise. (i) Give the joint probability mass function of X1 and X2. (ii) Are X1 and X2 independent
Answer:
The probability mass function :
P(X1 = 1, X2 = 1) = 5/13 * 4/12 = 5/39
P(X1 = 1, X2 = 0) = 5/13 * 8/12 = 10/39
P(X1 = 0, X2 = 1) = 8/13 * 5/12 = 10/39
P(X1 = 0, X2 = 0) = 8/13 * 7/12 = 14/39
Step-by-step explanation:
Given :
Number of white balls = 5
Number of red balls = 8
Total number of balls = (5 + 8) = 13
P(X1 = 1, X2 = 1) = 5/13 * 4/12 = (5/13 * 1/3) = 5/39
P(X1 = 1, X2 = 0) = 5/13 * 8/12 = (5/13 * 2/3) =10/39
P(X1 = 0, X2 = 1) = 8/13 * 5/12 = (2/13 * 5/3) =10/39
P(X1 = 0, X2 = 0) = 8/13 * 7/12 =(2/13 * 7/3) = 14/39
What is the image of the point (-7,-8) after a rotation of 180∘ counterclockwise about the origin?
A function is shown below.
g(x) = 19.6 + 1.74x. what is the value of g (20)?
Answer:
54.4
Step-by-step explanation:
g(20) = 19.6 + 1.74 (20)
g(20) = 19.6 + 34.8
g(20) = 54.4
Find the volume of the pyramid
Volume of pyramid:
= ⅓ × l × w × h
= ⅓ × 9 × 9 × 7
= 3 × 63
= 189 ft³
4 1/4 - 2 2/4
what is the answer?
Answer:
1 3/4
Step-by-step explanation:
[tex]4\frac{1}{4}- 2\frac{2}{4} \\\\17/4 - 10/4\\7/4\\1 3/4[/tex]
Answer:
Converting from Mixed numbers to Fraction
4¹/4 = 17/4
2²/4 = 10/4
17/4 – 10/4
= 7/4
You can also change this answer into Mixed Number
it'll be 1 3/4 (One whole number, three over four)
Solve the following problem:
|2x+3|=-5
Answer:
No solution exists. Hope that helps sorry it took me long I was typing alot as you can see bye and have a great day!
Step-by-step explanation:
1. Break down the problem into these 2 equations 2x+3=-5 -(2x+3)=-5
2. Solve the 1st equation : 2x+3=-5 Subtract 3 from both side 2x=-5-3 =-8 divides both sides by 2 x= -8/2 which give you x=-4 Now solve the 2nd equation : -(2x+3)=-5 Remove parentheses -2x-3=-5 add 3 to both sides -2x=-5+3=-2 Divide both sides by -2x=-2 which would give you x=1
When x=-4x, the original equation ∣2x+3∣=−5 does not hold true.
We will drop x=-4x from the solution set.
When x=1, the original equation |2x+3|=-5 does not hold true.
We will drop x=1, from the solution set. So, No solution would be your answer.
5x35 65x76 what the the total
The solution to the above math arithmetic is 5115.
Addition and subtraction are what?Finding the sum and difference of two integers are the two main addition and subtraction arithmetic procedures. They are both the other's polar opposite. An ordered group of integers with a shared difference between each word is known as an arithmetic sequence. The common difference, for instance, between the mathematical series 3, 9, 15, 21, and 27 is 6.
What exactly is an algebraic question?This grouping contains percent difficulties, decimal recognition, addition, subtraction, multiplication, and division as well as fraction and percent equivalences and estimate issues.
For instance, 5 + 6 = 11 and 11 - 6 = 5.
5x35 + 65x76=5115
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6+√-18 simplified for edmentum
Answer:
= 18√2
decimal =25.45584412
What is the area of this shape?
Answer:
30 meters squared
Step-by-step explanation:
First of all, we need to split the shape into different shapes. In this case, two triangles and a rectangle. We know that the triangle on the left has a height of 3 meters, and a width of 3 meters, and the formula for the area of a triangle is:
(b*h)/2 = A
So, we can plug in the values:
(4*3)/2 = A
Then, solve.
12/2 = A
6 = A
So, the triangle on the left is 6 meters squared. There is another copy of that triangle, so that means that both of the triangles combined is:
6*2 = 12 meters squared
Lastly, we need to find out the middle rectangle, which is 6 meters by 3 meters. The area of a rectangle is:
L*W = A
Plug the values...
6*3 = 18 square meters
So, the rectangle is 18 meters squared.
Our last step is to add the area for all the shapes. That would be:
12 + 18 = 30 meters squared.
Therefore, the area of this shape is 30 meters squared. Hope this helps!
HELP QUICK!!! ANSWER A B C D OR E
Answer:
It's (E) ..................
Answer:
E
Step-by-step explanation:
A high school football quarterback has a lifetime pass completion rate of p = 0.15. A random sample of 15 of his games is selected. Which is the best description of the shape for the sampling distribution of p hat ?
skewed left
skewed right
uniformly distributed
approximately Normal
man just help me
Answer: I think it’s skewed right
Step-by-step explanation:
Please help #5 only thank you !
Answer:
$4.37 is a possibility to the answer
Answer:
they ate 6 pizza
Step-by-step explanation:
༼ つ ◕‿◕ ༽つ
Three people are sitting on a bus. Julian is seated 4 meters directly behind Elena and 3 meters directly left of Isabella. How far is Elena from Isabella?
Answer:
sq root of 21=7
Step-by-step explanation:
we need to use Pythagoras theorem
so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2
now just do the square root and there you go.
Find the LCD for the following pair of fractions.
1/5
and
1/2
i tried using brainly but i couldnt find this question!
Answer:
dddd
Step-by-step explanation:
please help will give brainliest
Answer:
157 cm^2
Step-by-step explanation:
1) find the radius
radius = side of the square /2 = 10 /2 = 5 cm
2) notice that four semicircles are equals to two circles
3) find the area of the shaded region
A = radius^2 x pi x 2 = 5^2 x pi x 2 = 157 cm^2 (round the nearest whole number)
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Plss help me!! ASAP, first answer gets Brainlist! Here your choices, : Quadrant I, Quadrant II, Quadrant III, And Quadrant IV.
Which statement is true based on a graph of the line that passes through the given coordinates? (2, 1), (3,3), (5,7), (6,9) Please help
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B. The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D. The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
The correct statement regarding the linear function passing through the coordinates (2, 1), (3,3), (5,7), (6,9) is given as follows:
A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
When does a linear function represents a proportional relationship?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the change in y divided by the change in x.b is the y-intercept, representing the value of y when x = 0.A linear function represents a proportional relationship if it has an intercept of zero.
For the points in this problem, when x increases by one, y increases by two, hence the slope is given as follows:
m = 2/1 = 2.
Hence:
y = 2x + b.
When x = 2, y = 1, hence the intercept b is given as follows:
1 = 2 + b
b = -1.
As the intercept is different of zero, this is not a proportional relationship, and option A is correct.
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Find a quartic function
The quartic equation y = x⁴ - x³ - 5 · x² - x - 6 has x = - 2 and x = 3 as its only real zeros. (Correct choice: C)
What quartic equation contains a given set of zeros?
Quartic equations are polynomials of grade 4, whose standard form is described below:
y = a · x⁴ + b · x³ + c · x² + d · x + e
Where a, b, c, d, e are real coefficients. A value of x is a zero of a polynomial when the result is equal to zero. The quickest way to find the polynomial is by evaluating each expression at x = - 2 and x = 3:
x = - 2
y = (- 2)⁴ - (- 2)³ - 5 · (- 2)² - (- 2) - 6
y = 16 + 8 - 20 + 2 - 6
y = 0
x = 3
y = 3⁴ - 3³ - 5 · 3² - 3 - 6
y = 81 - 27 - 45 - 3 - 6
y = 0
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The volume of a sphere is 2304π in^3.
The radius of the sphere is ___ inches.
Answer:
The radius of the sphere is 12 inches.
Step-by-step explanation:
V = 4/3 · pi · r³
r³ = 1728
r = 12
\int (2)/(\sqrt(5x^(2))+3)dx and steps
Answer:
Step-by-step explanation:
Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of this box?
192in³
275in³
37512 in³
425in³
Answer:
4 x 8.5 x 12.5 =425 (multiple hight x width x length)
The volume of the box is [tex]425in^{3}[/tex]
what is the conjugate of -5 + i /2i?
Answer:
see image below
Step-by-step explanation:
What are the domain and range of f(x) = x - 3| +6?
O Domain: {x|x is all real numbers}
Range: {yly ≥ 6}
O Domain: {x|x≥ 3}
Range: {y ly ≥ 6}
O Domain: {x|x is all real numbers}
Range: {yly 2-6}
O Domain: {x|x≥ 3}
Range: {yly 2-6}
The domain and range of the absolute value function are the ones in the first option.
Domain: {x|x is all real numbers}Range: {yly ≥ 6}What are the domain an range of the absolute value function?Here we have the absolute value function:
f(x) = |x - 3| + 6
The domain for all absolute value functions is the set of all real numbers, as there are no input that generates a problem with the function.
And the range, the set of the inputs, has a minimum at the vertex.
Remember that if the vertex is (h, k), then we can write the function as:
f(x) = |x - h| + k
Then in this case:
f(x) = |x - 3| + 6
The vertex is at (3, 6)
Then the range is the set of all real values equal to or larger than 6, or:
y ≥ 6
Then the correct option is the first one:
Domain: {x|x is all real numbers}
Range: {yly ≥ 6}
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Mental Math In a toy store, the ratio of the number of dolls to the number of teddy bears is . If the store has 240 dolls, how many teddy bears are in the store? Use pencil and paper. Describe the mental math steps you use to solve this problem.
Answer:
Step-by-step explanation:
Dolls:240 Teddy Bears:120
120:240
Please Describe the fraction If Possible.
Part A
GEOMETRY Consider a trapezoid that has one base that measures five feet greater than its height. The other base is one foot less than twice its height. Let x represent the height.
a. Write an expression for the area of the trapezoid.
A=(blank)x^2 +(blank)x ft^2
PART B Write an expression for the area of the trapezoid if its height is increased by 4 feet
A=(blank)x^2+(blank)x+(blank)ft^2
The area of the trapezoid is 1.5x² + 2x. If the height is increased by 4 feet, the new area would be 1.5x² + 8x
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
Let x represent the height of the trapezoid.
a) One base of trapezoid measures five feet greater than its height. Hence:
First base = x + 5
The other base is one foot less than twice its height, hence:
Second base = 2x - 1
Area = (1/2)(sum of bases) * height = (1/2)(x + 5 + 2x - 1)(x) = 1.5x² + 2x
b) The height is increased by 4 feet. New height = x + 4
First base = (x + 4) + 5 = x + 9
Second base = 2(x + 4) - 1 = 2x + 7
Area = (1/2)(sum of bases) * height = (1/2)(x + 9 + 2x + 7)(x) = 1.5x² + 8x
The area of the trapezoid is 1.5x² + 2x.
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