The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
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Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
3 over 6=k over 7- find k's value
Step-by-step explanation:
3/6=k/7
cross multiply then
6k=21
divide by the coefficient of k
k=3.5
Andy found these used car prices in the newspaper
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and -109
Answer:
-2 and 109
Step-by-step explanation:
just put that
Answer 2 and -109
Step-by-step explanation:
I did the test
Which triangle is congruent to triangle ABC?
These are function questions
please give answers with working thank you
1.It is given that h(x) = 2x − 5. Find h(4)
2.It is given that f(x) = 5x + 2. Find f –1(-3).
Answer:
h(4) = 3
f-1(-3) = - 1
Step-by-step explanation:
One
h(x) = 2x - 5
h(4) = 2*4 - 5
h(4) = 8 - 5
h(4) = 3
Two
Let y = f(x)
y = 5x + 2 Interchange x and y
x = 5y + 2 Subtract 2 from both sides
(x - 2) = 5y Divide by 5
(x - 2)/5 = y
but y = f'(x)
so f(x) = (x - 2)/5
f-1(-3) = (-3 - 2) / 5
f-1(-3) = -5/5
f-1(-3) = - 1
7) Mr. M can run a mile in 9 minutes. Assuming he can keep that pace, how 2 points
long would it take him to run a 12 km race? Imi-1,61km 1km=0,62mi Round
to the nearest whole minute (calculators permitted)
about 108 minutes
about 67 minutes
about 21 pinutes
about 9 minutes
HELP URGENT PLSSS
Answer:
I would say about 67 minutes
find a number that is exactly halfway between 1 and 27
Answer:
14
Step-by-step explanation:
A number that is exactly halfway between 1 and 27 is the middle number
In other words, we want to find the median between 1 and 27
Median = (x + y) / 2
Let
x = 1
y = 27
Median = (x + y) / 2
= (1 + 27) / 2
= 28/2
= 14
Therefore, the number between 1 and 27 is 14
Just help me pls and thank u
Apply distributive property to 24a-18b
Answer:
The answer to this question 6(4a-3b)
Answer:
6(4a-3b)
Step-by-step explanation:
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
28.What is the slope of the line 2x + 5y = 15?
A. 2
B. -2
C.2/5
D.- 2/5
Answer:
it's -2/5 !
Step-by-step explanation:
Jesse practices the trumpet for a total of 165 minutes during the first week of school. He practices for 245 minutes during the second week. A. Estimate the total amount of time Jesse practices by rounding to the nearest 10 minutes.
Answer:
410 minutes
Step-by-step explanation:
Given that:
Time for which Jesse practices trumpet in the first week = 165 minutes
Time for which Jesse practices trumpet in the second week = 245 minutes
To find:
The total amount of time rounded to the nearest 10 minutes.
Solution:
To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.
Therefore, total time taken = 165 + 245 = 410 minutes
It is already rounded off to the nearest 10 minutes.
Therefore, the answer is:
Total amount of time for which Jesse practices = 410 minutes
select the equation represented by the graph
Answer:
b) y = -2/3 + 1
Step-by-step explanation:
The format for the equation is y = mx + b
(m is the slope, and b is the y intercept)
Slope is rise over run (the units the line moves up and the units the line moves to the right)
In this case, the slope is: -2/3 because it goes down 2 and to the right 3.
The y intercept is 1.
This makes our equation:
y = -2/3 + 1
sorry im a bit slow could somebody help please
Answer:
The numerator is the number on top of the bottom number (denominator)
which of the following graphs represents a function?
Answer: you didnt post graphs to look at
Step-by-step explanation:
Pamela's age is three times Jiri's age. The sum of their ages is 68. What is Jiri's age?
Answer:
17
Step-by-step explanation:
x + 3x = 68
4x = 68
x = 17
How would i solve this problem example optional
3 Select the correct answer. The variable y varles directly as x. When x = 20, y= 12. What is the value of y when x= 15?
А. 7 B. 9 C. 18 D. 25
Answer:
B.9
Step-by-step explanation:
What I did is I used ratio.
20:12
15:X
Cross multiply:15x12
Answer:180
The answer you get divided by 20.
180/20=9.
Answer:
B
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when x = 20, y = 12, then
12 = 20k ( divide both sides by 20 )
k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
y = [tex]\frac{3}{5}[/tex] x ← equation of variation
When x = 15, then
y = [tex]\frac{3}{5}[/tex] × 15 = 9
Please help
Much appreciated
Answer: First one, 25x^2y^22
Step-by-step explanation:
if you multiply y^5*2 you get y^10 and x^2
that makes x^2y^10
then, if you multiply y^3*4 you get y^12
so you have to add the y s that makes x^2y^22
Need help thank you very much
Answer:
The answer to the question provided is
[tex] \frac{5}{24} [/tex]
Answer:
5/24
Step-by-step explanation:
0.21 is the decimal form
y=2x-6
slope?
y- intercept?
Answer:
The slope is 2/1 and the y-intercept is -6.
Step-by-step explanation:
With the y=mx+b formula, m is the slope and b is the intercept.
Answer: -6
Step-by-step explanation:
pls pls help !!!
If f(x) = 9 - 2|x + 2|, find f(-7).
-15
-1
1
19
The answer is -1
(AKA the second option)
A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.
How many desks are to be in each secondary classroom?
Answer:
27
Step-by-step explanation:
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
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What is 56/8 ? please answer this!
Answer:
7
Step-by-step explanation: