Solution:
Given ratio: [tex]0.45:1.35[/tex]
Multiply both sides by 100:
[tex]0.45:1.35[/tex]
[tex]\rightarrow 0.45 \times 100:1.35 \times 100[/tex]
[tex]\rightarrow 45:135[/tex]
Convert the ratio into a fraction:
[tex]\rightarrow 45:135 = \dfrac{45}{135}[/tex]
Simplify the fraction:
[tex]\rightarrow \dfrac{45}{135} = \dfrac{45 \div5}{135 \div 5} =\dfrac{9}{27} = \dfrac{9 \div 9}{27 \div 9} = \dfrac{1}{3}[/tex]
The simplified fraction representing the ratio 0.45 to 1.35 is 1/3.
To express the ratio 0.45 to 1.35 as a simplified fraction, we can divide both numbers by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 45 and 135 is 45.
So, divide both numbers by 45:
0.45 ÷ 45 = 0.01
1.35 ÷ 45 = 0.03
The simplified ratio is 0.01 to 0.03. To make it an integer ratio, we can multiply both parts by 100:
0.01 * 100 = 1
0.03 * 100 = 3
So, the simplified fraction representing the ratio 0.45 to 1.35 is 1/3.
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Carmen and her friends go out for lunch and leave a 20% tip. How much was the bill if they left a $17.64 tip?
a plane flying at a certian altitude is observed from two points that are 3 miles apart. the Angles of elevation made by the two points are 55deg and 72deg
The altitude of the plane is 8 miles
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
we know that in the right triangle ABC
tan function is ratio of opposite side and adjacent side
tan(72°)=h/x
h=xtan(72°) ....... equation 1
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) ..... equation 2
From equation 1 and 2
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
We have to find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
Hence, the height is 8 miles of the plane.
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What would Y be equal to in the problem 0.5x + 0.6y = 5.4
Answer:
y = -[tex]\frac{5}{6}[/tex]x + 9
Step-by-step explanation:
0.5x + 0.6y = 5.4
0.6y = -0.5x + 5.4
Multiply 10 on all sides.
6y = -5x + 54
Divide 6 on all sides.
y = -[tex]\frac{5}{6}[/tex]x + 9
If H1(x) is the inverse of H(x) , what is the value of H1 (H(x)) ?
Answer A. x
Step-by-step explanation:
if f(x) = x + 7 and g(x) = 1 / x - 13, whaf is the domain of (f°g)(x)?
Answer: Choice D) x can be anything but 13
========================================================
Explanation:
The domain of [tex](f \circ g)(x) = f(g(x))[/tex] is the same as the domain of g(x)
The domain for g(x) is [tex]\{x|x \ne 13\}[/tex] saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because
[tex]f(x) = x+7\\\\\\f(g(x)) = g(x)+7\\\\\\f(g(x)) = \frac{1}{x-13}+7\\\\\\(f \circ g)(x) = \frac{1}{x-13}+7\\\\\\[/tex]
and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.
Of the 14 clients at Bob's salon, 7 of them have red hair. What is the probability that a randomly selected client at Bob's salon has red hair? P(red) =
Now
[tex]\\ \rm\Rrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]
[tex]\\ \rm\Rrightarrow P(E)=\dfrac{7}{14}=1/2[/tex]
Answer:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
Given:
Total number of outcomes = total number of clients = 14Number of ways it can occur = number of clients with red hair = 7[tex]\implies \mathsf{Probability \ of \ red\ hair= \dfrac{7}{14}=\dfrac12=0.5}[/tex]
A box is 36 inches long
18 inches wide
And 6 inches deep
How many cubic feet are in the box
3,888 ft³
Step-by-step explanation:
Multiply the dimensions together.
Therefore, the box is 3,888 ft³.
a container holds 24 pints of lemonade. how much is this in gallons?
Answer:
The answer is 3 gallons.
which of these expressions or phrases can be used to represent the model brainly choose al the correct answers.
Answer:
1/6 x 3 and 1/6 of 3 and the product is 1/2.
Step-by-step explanation:
I did it on i-ready and I got it right
[tex]\frac{1}{6}\cdot3\\[/tex][tex]\frac{1}{6}\ of\ 3[/tex]Number of sixths in 3.
The models shows 1 of the 6 parts of the length 3.
So the expressions or phrases that can be represented by the model are:
[tex]\frac{1}{6}\cdot3\\[/tex][tex]\frac{1}{6}\ of\ 3[/tex]Number of sixths in 3.Learn more about fractions: https://brainly.com/question/78672
I need help with a math problem
Answer:
1 1/2: 3 more dash lines after 1
2 1/6: one more dash line after 2
Step-by-step explanation:
Select the correct answer.
Selim Is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot and Selim can spend $20 per
sphere. What is the maximum diameter of the spheres he can purchase?
OA 1.78 ft
ОВ.
1.59 ft
OC. 0.89 ft
OD. 3.56 ft
Reset
Next
2 Edmentum. All rights reserved.
INTL 11:41
Answer:
I think the answer is 1.78
Step-by-step explanation:
The diameter of the sphere will be equal to 4.59 feet.
What is a sphere?
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
The spheres cost $2 per square foot and Selim can spend $20 per sphere. What is the maximum diameter of the spheres he can purchase?The area of the sphere will be = 20 / 2 = 10 square feet
The diameter of the sphere will be calculated as:-
Area = 4 π r
10 = 4 π r
r = 10 / ( 4 π )
r = 0.79 feet
D = 2r = 2 x 0.79 = 1.59 feet
Therefore the diameter of the sphere will be equal to 4.59 feet.
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( 1 + 1 ) + ( 1 + 1 ) in standard form
Answer:
4
Step-by-step explanation:
Standard form, in other words, is when it is fully simplified.
[Given]
( 1 + 1 ) + ( 1 + 1 )
[Add what it is the parentheses]
( 2 ) + ( 2 )
2 + 2
[Add 2 and 2 together]
4
Answer:
.4x10^1
Step-by-step explanation:
2+2+4
4 in standard form=.4x10^1
brainliest appreciated hope this helps!!
-2w - 5w =
Please help me it’s due tomorrow
Answer:
-7w
Step-by-step explanation:
-2w - 5w = -7wI hope this helps!
Answer:
-7w
Step-by-step explanation:
Since they are like terms, think about it as the w not being there at all and just doing -2 - 5.
There are 34 desks in the classroom, however, 3 of the desks are broken. How many groups of 4 unbroken
desks can be made?
6 groups
07 groups
8 groups
9 groups
Answer:
7 Groups
Step-by-step explanation:
4 x 8 is 32, more than are available, 4 x 6, less than available.
the diameter of a circle is 22.4cm find it's area
Answer:
Area = πr^2
= 22/7 x 22.4/2 ^2
calculate to get area
Answer:
area =394.081 cm^2
Step-by-step explanation:
please mark me as brainlest
help me please!!!!!!!
Answer:
45 cm²
Step-by-step explanation:
Area of the two triangles:
A = 1/2*b*h
A = 1/2*3*4
A = 1/2*12
A = 6
Area of the two rectangles:
A = bh
A = 4*3
A = 12
Area of square:
A = bh
A = 3*3
A = 9
Now add these numbers together to get total area:
6 + 6 + 12 + 12 + 9 = 45
Hope this helps :)
Find the interest on 2180 for one year at simple interest 4%
please mark me as brainlest
---
What is the range of the following numbers?
12, 20,18,25,6
A. 5
B. 16 1/5
C. 18
D. 19
E. 25
Answer:
D
Step-by-step explanation:
The range is subtracting the largest number and the smallest number.
largest number: 25
smallest number: 6
Range: 25 - 6 = 19
The average salary for a first-year teacher is $27,989. If the distribution is approximately normal with a standard deviation of $3250. If the z-score is 0.34. What salary corresponds to the z-score
If needed, delete the comma and/or the dollar sign.
=========================================================
Work Shown:
mu = 27989 = population mean
sigma = 3250 = population standard deviation
z = (x-mu)/sigma
z*sigma = x-mu
x = z*sigma + mu
x = 0.34*3250 + 27989
x = 29,094
The salary of $29,094 corresponds to the z score of 0.34.
This indicates the salary $29,094 is exactly 0.34 standard deviation units above the mean.
HELP PLEASE<33 IM NOT SURE HOW TO DO THIS!
Answer:
Step-by-step explanation:
1b. <
1c. =
1d. >
2c. n=6
3. Yes
4. 4
5. 5 1/3
6. 2 3/5
Describe how the graph of y = -2(x-4)3 + 1 can be obtained from the graph of y = x3.
I am guessing you meant y=-2(x-4)^3+1 from x^3
From the parent cubic function x^3,
a(x-k)^3+h is its transformation and it would be vertical stretch by a, followed by a horizontal translation by k and vertical translation by h
Your equation follows the same format it has a negative sign at the front before the ( ) which means a reflection over the x axis at the beginning
SO your graph is a
1.reflection over the x axis
2.followed by a vertical stretch by 2
3.followed by a horizonal translation to the right 4
4.followed by a vertical translation up 1
from x^3
I hope this helped, please ask if you have any questions!
8. An adult male elephant can weigh up to 15,000 pounds. How many tons is this?
show your work.
Answer:
this is 7.5 tons.
Step-by-step explanation:
Simply divide 15,000lbs by 2,000lbs (how many lbs in a ton), and you get 7.5!
If 1 in = 25.4 mm, how fast was the San Rafael Glacier moving in yards per hour? If necessary round to six decimal places
Answer:
203 / 25.4
7.992 in
7.922 in / day
7.922 in / 24 hr
0.333 in / hr
Step-by-step explanation:
Given the functions, f(x)=30x4+9x3+27x2−21x−17 and g(x)=6x+3, divide f(x) by g(x) and simplify.
Question options:
a.5x3−x2+5x−6+16x+3
b.5x3−x2+5x−6−36x+3
c.5x3−x2+5x−6+66x+3
d.5x3−x2+5x−6+86x+3
Answer: 21+1000 =100.2
Step-by-step explanation:pull down explain multiplication
Given the parent function f(x)= ???
in red, write the equation for the transformed function g(x)
in green in terms of f(x)
.
What is the perimeter of STU?
11
104
Time
elapsed
U
00
6
00
MIN
4
SmartScore
out of 100
2
62
-10
-8
-6
-4
0
6
10
s
4
s
т
-2
-4
-6
-8
-10
Perimeter =
units
Answer:
2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + xx x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)
Step-by-step explanation:
1. What is the intersection of the sets {0, 2, 6, 8, 12} and {0, 3, 6, 9, 12}?
2. Using the number line below to compare the list of numbers. Place the numbers in
increasing order.
-1.5, .3, -2/5, 1 4/5
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
4. What is the set of even numbers between 3 and 13?
5. What is the intersection of the sets {2, 5,8,12,18} and {1, 2, 5, 7, 18}?
6. What is the intersection between these three sets: X = {-5, -3, -1, 1, 3, 5}, Y= {1, 3, 5, 7, 9, 11}, Z = {-5, -1, 1, 5, 9, 13}
7. What is the union of the sets {0, 2, 4, 8, 10, 12} and {0, 3, 12}?
8. Which value of x makes the open sentence true: 2, 3, 4, or 5? 5 + 2 = 3 + 9
9. Which value of x makes the open sentence true: 1, 2, 3? 3 − 10 ? ( + 1) 2 + 2 3 __________
11. In golf, scores are calculated compared to par for the golf course. On a number line, par is 0.
a. Draw a number line and plot each golfer’s score.
b. List the golfers in order from best (lowest score) to worst (highest score).
c. For the coordinate representing Winston’s score, name the set(s) of which it is an element: natural numbers, whole numbers, integers, and real numbers
Golfer Winston Allen Mariota Hernandez
Score 4-under-par 5-under- par 2-over-par 3-over-par
Answer:
Can you redo it's a little too much
Answer:
Bro thats a lot of questions
Step-by-step explanation:
How do I find the value of x??
Answer:
85
Step-by-step explanation:
The sum of the angles inside a triangle is 180 degrees.
A circle is 360 degrees, making half of it be 180 as well.
Since there are 121 degrees already marked, subtract it from 180 and you will get 59 degrees.
36 + 59 = 95
180 - 95 = 85 degrees.
Answer:
x = 85
Step-by-step explanation:
angles of a triangle = 180 degrees (all angles must equal 180)
if you minus 121 from 180, it will give the interior angle which is 59 degrees
therefore 59 + 36 + x = 180
to find x plus 59 and 36 = 95 degrees
180 - 95 = 85
x = 85 degrees
What is the quotient of 534÷112
Answer:
4.76785714286
A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. What is the percentage decrease? Round you answer to the nearest whole percent.