Answers
Step-by-step explanation:
If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.
So,
[tex] \frac{30}{8} = \frac{20}{y} [/tex]
Cross-multiplying the denominators gives,
[tex]30y = 160[/tex]
[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]
Related Questions
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of juice. One of Ms. Albero's students said show will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct? *
Answers
Answer:
Yes, the student is correct.
Step-by-step explanation:
2*4=8 scoops
1/2*4=2 gallons
Since they were multiplied by the same number, the student is correct. It's like making it 4 times, but all at once.
I hope this was helpful!
9) 1 = 0.99 + z? 10
Answers
Answer:
0.99+10=10.99
Step-by-step explanation:
Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a
Answers
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) [tex]\int\limits^a_b f({x}) \, dx[/tex]= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].
The mean is:
[tex]E(X) = \frac{a + b}{2}[/tex]
Hence:
[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]
The variance is:
[tex]V(X) = \frac{(b - a)^2}{12}[/tex]
Hence
[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]
The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]
A similar problem is given at https://brainly.com/question/14767944
The ratio of 1.4 to 29 is the same as the ratio of 2.8 to
Answers
Answer: Is the same as 2.8 to 58
Step-by-step explanation:
The ratio 1.4 to 29 could be written as 1.4/29 and the ratio 2.8 could be as
2.8/ x where x it he missing number.
Now set up a cross product equation to solve for x.
[tex]\frac{1.4}{29} = \frac{2.8}{x}[/tex] Cross multiply
1.4x = 81.2 Divide both sides by 1.4
x= 58
7. Marisa has $26 in her purse. She pays $5 for
lunch Which
expression represents this situation? A. -26 -
(-5) B.-26 + 5 C. 26 + (-5) D. 26 + 5
Answers
Answer: I think the answer is C
Answer:
yea i agree with kassidy
plz click this help me and i am really desspprte and i do not want get in trouble plz my teacher is very strict.
Answers
someone said this was wrong and I realized that I was just confused so i fixed it
it's 3:1
Answer:
b
Step-by-step explanation:
A brick is shaped like a rectangular prism. The length is 8 inches. The height is 4 inches. The width is 4 inches. What is rhe surface area of the brick?
Answers
Answer:
160
Step-by-step explanation:
8(4)(2)= 64
4(4)(2)= +32
8(4)(2)= 64
______
160
Answer:
Step-by-step explanation:
Find the value of the variables in the figure to the right.
Answers
Answer:
x = 9
y = 56
Step-by-step explanation:
(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)
Find the value of x using this equation
[tex] 3x + 7 + 6x + 2 = 90 [/tex]
Collect like terms
[tex] 3x + 6x + 7 + 2 = 90 [/tex]
[tex] 9x + 9 = 90 [/tex]
Subtract 9 from each side
[tex] 9x + 9 - 9 = 90 - 9 [/tex]
[tex] 9x = 81 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{81}{9} [/tex]
[tex] x = 9 [/tex]
y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)
Plug in the value of x to find y
y = 6(9) + 2
y = 54 + 2
y = 56
a.
b.
Select the following statement that is true
about shape a and shape b.
Answers
Somebody please help me make some sense out of this:
“One morning a certain number of passengers got on an elevator at the main floor of an office building. Four got off at the second floor, of the remainder at the third floor, 75% of the remainder at the fourth floor and 3 at the 5th floor. If the elevator was empty at this point, how many got on the elevator at the main floor?”
Answers
Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.
Answers
Answer:
Step-by-step explanation:
y - 4 = -(x - 2)
y - 4 =-x + 2
y = -x + 6
simplify to create an equivalent expression -4(z+3)-4(5-4z)
Answers
Evaluate f(x)=-2×+5 for f(-5)
Answers
f(-5) = 15 (A)
Step-by-step explanation:f(x) = - 2x + 5
replace x = - 5
f(-5) = -2(-5) + 5
(-)(-) = +
f(-5) = 10 + 5
f(-5) = 15 (A)
f(-5) = -2(-5) + 5
(-)(-) = +
f(-5) = 10 + 5
f(-5) = 15 (A)
Jazziel bought a smart phone 5 years ago for $90. His sister paid 30% more for the same model. Show your work in the space provided to answer the following questions. Part A: How much more did his sister pay for her phone? a) $27 b) $30 c) $36
Answers
Answer:
B
Step-by-step explanation:
90/3=30
Suppose that the x-intercepts of the graph of y=f(x) are -9 and 3. What are the x intercepts of y= f(x+3)
Answers
Answer:
the anwser is 6
Step-by-step explanation:
Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.
therefore, just plug them in.
Find the vertex of the parabola with the equation y=-5x^2+30X+35
Answers
Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
Answers
Answer:
80
Step-by-step explanation:
20 / 25 = 0.8 = 80%
Answer:
80%
Step-by-step explanation:
20/25 = 0.8 = 80%
At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.
Answers
Answer:
3.2
Step-by-step explanation:
What the answer? 8x-(2x-3)=12
Answers
Answer:
x= 3/2 or 1.5
Step-by-step explanation:
First of all, you can take out the parenthesis because 8x is subtracting 2x-3.
8x-2x-3=12
6x-3=12
+3 +3
6x= 15
6x/6= 15/6
x= 3/2 or 1.5
Hope this helps!
In a hotel a servant needs to clean 30 rooms in 3 hours. How many rooms a servant needs to clean in 6 hours
Answers
Answer: 60 rooms
Step-by-step explanation:
because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms
Jasmine is a structural engineer. She designs the lift hill of a roller coaster that models the equation y=x3, where y is the height and x is the length from the start of the lift hill. Using this model, how far from the start of the lift hill does the ride reach a height of 343 meters?
Answers
Answer:
the anwser is 7 buddy hope it helps
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63
Answers
Answer:
7
Step-by-step explanation:
3x – one-ninthy = 18, when y = 27?
one-ninthy 27 = 3
3x - 3 = 18
3 x 7 = 21
21 - 3 = 18
hope this helps
Answer:
7
Step-by-step explanation:
answered on edge
.Find the unknown angles in each of the following figures and mention the property used
Answers
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°
Angle RST below is a right angle. What is the measure, in degrees, of
Answers
Answer:
RSM = 56.4
Step-by-step explanation:
RSM + MST = RST
RSM + 33.6= 90
Subtract 33.6 from each side
RSM + 33.6 - 33.6= 90-33.6
RSM= 90-33.6
RSM = 56.4
RST is a right angle, and right angles are 90 degrees
RST = 90 degrees
MST = 33.6 degrees
RSM = ?
The angles MST and RSM add up to 90 degrees
90 = 33.6 + RSM
Subtract 33.6 from both sides
56.4 degrees = RSM
Each school bus can hold 65 students. If there are 8 buses, how many students can ride the bus?
Answers
Answer:
520
Step-by-step explanation:
When a number x is multiplied by 6, the result is 3/8 What is the value of x?
Answers
Answer:
1/16.
Step-by-step explanation:
6x = 3/8
Divide both sides by 6:
6x / 6 = 3/8 / 6
x = 3/8 * 1/6
= 3/48
= 1/16.
which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet
Answers
Answer:
ft is premeter of triangle
The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $13 per month plus $0.04 per call.
Answers
Answer:
Is there anything else to add onto the question? What are you trying to find :)?
4a=23 Solve the equation. 4a=23 a=
Answers
Answer:
4a=23
4a/4 = 23/4
a=5.75
Step-by-step explanation:
Solve the equation algebraically (x-8)^2=25
Answers
Hey there!
ANSWER: [tex]x=8,13[/tex]EXPLANATION:[tex](x-8)^2=25[/tex]
To solve this equation, you will need to simplify both sides.
[tex]x^2-16x+64=25[/tex]
Now we will need to minus(subtract) 25 from both sides of the equation.
[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]
Now we will need to factor out the left side.
[tex](x-3)(x-13)=0[/tex]
In our last step, we will need the set factors equal to zero.
[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]