Solving a linear equation we will see that after5 weeks you will have $105 on your piggy bank.
How many weeks until you have $105 in your piggy bank?We know that it starts ar $45, and then you add $12 each week. Then the amount of money after W weeks is modeled by the linear equation:
y = 12*W + 45
You will have $105 when the value of y is 105, replacing that we get the equation below:
105 = 12W + 45
105 - 45 = 12W
60 = 12W
60/12 = W
5 = W
You will have $105 on your piggy bankafter 5 weeks.
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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:
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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.
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 ^-^
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!
Solve the inequality, write the solution in interval notation. Then graph it on a number line.
I need help :
Answer:
z < 4 or z > -6
Step-by-step explanation:
5z < 20
z < 4
or
z > -6
z < 4 or z > -6
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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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
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]
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
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
I need help on this
Answer:
Domain = (-2,2)
Range = [-2, 2)
Step-by-step explanation:
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
The point (0,50) identifies the unit rate as 50.
True or false
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:
(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:
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]
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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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
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]
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
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
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.
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].
Find the fifth term of the sequence
3, 5, 9, 17, _
(If you need help: The rule of the following sequence is k = 2n +1 )
Answer:
33
Step-by-step explanation: the number added itself gets multiplied by two. so 3+2 then 5+4 then 9+8 then 17+16
Increase £30 by 2/5?
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?
What are the values of x and y?
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
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-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.
Answer:
x = 14/-7
x = -2
It has ONE SOLUTION