The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is six more than three times the first number. Find the three numbers
Answer:
21, 33 and 69Step-by-step explanation:
x - the first number
2x - two times the first number
2x-9 - 9 less than two times the first number = the second number
3x - three times the first number
3x+6 - six more than three times the first number = the third number
The sum of three numbers is 123:
x + 2x-9 + 3x+6 =123
6x - 3 = 123
6x = 126
x = 21
2x-9 = 2•21-9 = 33
3x+6 = 3•21+6 = 69
Check: 21+33+69 = 123
A balloon is measured at 45 feet above the ground. Two minutes later it is measured at 92 feet above the ground. By what percent has the height of the ballon changed?
SHOW YOUR WORK! HELP ME 100 Points!!!!
Building A: Building B:
radius = 10 m radius = 10 m, height = 20 m, slant height = 22.4 m
(a) Verify that they have the same volume:
• Volume of building A =
• Volume of building B =
(b) Find the surface area of both buildings:
• Surface area of building A =
• Surface area of building B =
(c) Use your answers from part (b) to identify which building has the least amount of heat loss. Justify your answer.
Answer:
volume of building a is 200 volume of building b is 224
Step-by-step explanation:
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At first, a bucket has 640 ounces of water in it. Due to a small leak, it loses 3 ounces of water per
minute. What equation relates the amount of water left in the bucket y in ounces to the time x in
minutes? Assume the relationship is linear.
The equation is y=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
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Answer:
y=640-3x
Step-by-step explanation:
The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.
An initial investment of $500 is made in an account which earns 6% interest compounded
semiannually. Which of these equations gives the value of the investment after t years?
Answer:
A = 500(1+6%/2)^2t
Step-by-step explanation:
Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .
i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75
A = 562.75$ for two years
what is the slope of a line passing through (-3,-4) and (3,4)
Answer:
4/3
Step-by-step explanation:
you use slope formula
5x=y is it Proportional or not and if it is proportional whats the constant proportionality
Answer:
Yes, 5x = y is Proportional and, the constant of proportionality is 5
Step-by-step explanation:
If x and y are proportion, then
y = k x is the equation of the proportional, where k is the constant of proportionalityIt represented graphically by a line passes through the origin (0, 0)∵ 5x = y
→ Switch the two sides
∴ y = 5x
→ Check it if passes through the origin point or not
∵ At x = 0, y = 5(0) = 0
∴ (0, 0) is a point ∈ y = 5x
∴ y = 5x represented graphically by a line passes through the origin
∴ x and y are proportion
∴ y = 5x is the equation of proportional
→ By comparing it with the form of the equation above
∴ k = 5
The y intercept of the line whose equation is 7x - 4y=8
7/4
8
-2
Answer:
y intercept is -2.
Step-by-step explanation:
Convert the equation to slope-intercept form, or in other words, isolate the y variable. You should get y=(7/4)x-2. the -2 is the y intercept.
Hope this helped!
help!!! I don't know this
Answer:
Graph C
The Y axis is up and down and the x axis is side to side. So first we want to look to see which line crosses the y axis the the up and down black line.
When you are finding a coordinate you set it up like this (x, y). You will find x first and y second.
So we are down to two graphs graph a and graph c. Know both of them cross at the (0,-7) mark but it asks for one other thing a well.
On a graph when something decreases it will go down and when something increases it will go up. So that tells me it is graph C.
if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.
Answer:
[tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]
Step-by-step explanation:
[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the
wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the
rotation?
O 50 feet
O 50 feet
O 100 feet
O 100v3 feet
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The required height of the seat from the ground is 100√3. Option D is correct.
A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Diameter = 200
Radius = Diameter/2 = 100
Rotational angle = 60°
Let the height be h
tan60 = h/100
√3 = h/100
100√3 = h
Thus, the required height of the seat from the ground is 100√3. Option D is correct.
Learn more about trigonometry equations here:
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Answer:
50 √3 feet
Step-by-step explanation:
Correct on edge 2023.
I need help on this
Answer:
Domain = (-2,2)
Range = [-2, 2)
Step-by-step explanation:
Sound policy requires that a certain number of trees be planted for every tree that is cut down for example of 8 trees are cut down 48 trees will be planted a homeowner is going to cut down five trees on his property how many trees will be planted 1/5 are cut down
Answer:
30 trees
Step-by-step explanation:
Given the policy:
8 trees are cut down 48 trees will be planted
If homeowner is going to cut down five trees on his property how many trees will be planted
Since :
8 trees cut down = 48 planted
5 trees cut down = X
Cross multiply :
8 * X = 48 * 5
8X = 240
X = 240/8
X = 30
Hence, 30 trees will need to be planted
Answer: 30
Step-by-step explanation: because i had that question
What are the values of x and y?
(HELP MEEE PLEASEE) What are the coordinates of point Q?
A) 0,2
B) 2,4
C) 4,1
D)4,2
Answer:
B. (2,4)
Step-by-step explanation:
Increase £30 by 2/5?
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Put your answer in fully reduced form.
Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
[tex]y = m\cdot x + b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex](x_{1},y_{1}) = (0,3)[/tex] and [tex](x_{2},y_{2})=(5,-3)[/tex], the following system of linear equations is constructed:
[tex]b = 3[/tex] (Eq. 2)
[tex]5\cdot m + b = -3[/tex] (Eq. 3)
The solution of the system is: [tex]b = 3[/tex], [tex]m = -\frac{6}{5}[/tex]. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].
The table shows the number of condo sales per month for a new condo building. Select all the equations that could represent the number of sales.
Answer:
Option (1) and (5)
Step-by-step explanation:
Let the equation representing number of sold is,
y - y' = m(x - x')
Where m = number of condo sold per month
(x', y') is a point from the given table,
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the passing through (1, 8) and (0, 11) will be,
m = [tex]\frac{11-8}{0-1}[/tex] = -3
Therefore, equation of the line passing through (3, 2) and slope (-3),
y - 2 = (-3)(x - 3)
y - 2 = -3(x - 3)
Similarly, equation of the line passing through (0, 1) and slope (-3),
y - 11 = -3(x - 0)
Therefore, Option (1) and (5) will be the answer.
Answer:
Options 1 and 5
A polygon is shown
If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates
Answer:
A will be at -3.3 B will be at -4.1 C will be at 6.1 D will be at 1.3 hope this helps
PLEASE HELP!!
6. mZ1 = (3x + 10)
m24 = (4x - 15)
What is the m<7?
Answer:
95°
Step-by-step explanation:
1 is opposite to 4. So, (3x+10)° = (4x-15)°
3x + 10 = 4x - 15
10 + 15 = 4x - 3x
25 = x
m(4) = 4x - 15 => 4.25 - 15
100 - 15 = 85 = m(4)
7 is opposite to 6 and 6 is parallel to 4. So, m(4) + m(6) = 180°
85° + m(6) = 180°
m(6) = 95°
6 is opposite to 7, so m(6)=m(7) and answer is 95°
Hope this helps ^-^
Which of the following is equivalent to 2-47
Answer:
45
Step-by-step explanation:
2 minus 47 equals 45 if that's what your talking about
Simplify the expression.
27^1/3
Answer:
9
Step-by-step explanation:
Rewrite 27 as 3 ³.
(3³)[tex]\frac{1}{3}[/tex]
Apply the power rule and multiply exponents, [tex](a^{m})^{n} =a^{mn}[/tex]
3³([tex]\frac{1}{3}[/tex])
The simplified value of exponential expression27(1/3) is about equivalent to 3.
Here, we have,
give that,
the expression is 27^1/3.
We know,
An exponential expression is a mathematical expression that requires raising a variable to a power.
now, we get,
Rewrite 27 as 3 ³.
so, we have, (3³)^1/3
Apply the power rule and multiply exponents, nᵃᵇ= (nᵃ)ᵇ
3³^(1/3) = 3
i.e. we have,
(27)^1/3
= (3^3)^1/3
= 3
As 3*3*3 is 27 so we can write 3^3 ...both power got cancelled hence we got 3 as a answer.
Hence, The simplified value of exponential expression27(1/3) is about equivalent to 3.
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To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side. 5 + y = 7
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
Given
[tex]5 + y = 7[/tex]
Required
Solve
From the analysis attached to the question, we can solve this equation by subtracting 5 from both sides:
[tex]5 + y = 7[/tex]
[tex]-5 + 5 + y = 7 - 5[/tex]
[tex]0 + y = 2[/tex]
[tex]y = 2[/tex]
What is the value of X?
Please Help me
Answer:
The answer would be c- 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
X=1/2
volume d'un cube= x^3
donc (1/2)*(1/2)*(1/2)=1/8
Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Please show your work
Answer:
4+1=m??? I think
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
question in the picture:)
Answer:
$1.25
Step-by-step explanation:
10/8=1.25
Answer: $1.25
Step-by-step explanation: When you divide 10 by 8 you get and answer of 1.25. Or $1.25
In AHIJ, j = 98 cm, h = 38 cm and ZI=23°. Find the length of i, to the nearest
centimeter
Answer:65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
I need help plz.
What is the slope of the line shown on the graph to the right?
The slope of the line is .....................
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line
m = [tex]\frac{6-0}{4+8}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
The point (0,50) identifies the unit rate as 50.
True or false
what is the reduced ratio of 24:96
Answer:
Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4
Your answer is: 1:4
Step-by-step explanation:
Hope this helped : )
Answer:
1:4 is your ans
Step-by-step explanation:
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