A = 10 months
B = First part, the two equations:
Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.
Ken: y = 600 - 20x.
They will be equal at 1000 - 60x = 600 - 20x
Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!
1000 - 60x = 600 - 20x
1000 = 600 + 40x
400 = 40x
x = 10 months
y = 600 - 20(10) = 600 - 200 = $400 still owed.
C =
Solve Ian's equation for y = 0, when no money is owed.
1000 - 60x = 0
1000 = 60x
x = 16.66666.... or 17 months.
Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.
Alternatively, six months after 10 is 16 months,
and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answer:
18/5
Step-by-step explanation:
12+17+20+8+13 =70
70/5 = 14 which is the mean
the distances from the mean are
2 3 6 6 1
add them which is 18 then divide by 5 to find the mean
18/5
Find the area of the polygons
Answer:
Step-by-step explanation:
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Answer:
2.25
Step-by-step explanation:
What is the volume of this solid?
Answer:
175 in³
Step-by-step explanation:
First the area of the triangle:
S: ½a×b×SinC
½×7in×10in×Sin90°===> 35in²
and now the volume
35 in²×5 in=175 in³
75in, 60 in Pythagorean
What’s the missing leg?
Answer:
X = 45
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + a^2 = 75^2
3,600 + a^2 = 5,625
- 3,600 - 3,600
____________________
a^2= 2025
square root them
a^2 = a
2025 = 45
so x =45
if g(x)=11x+3 find g(x+7) and g(x)+g(7).
Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
Solve for X. Will give brainliest!
Answer:
57.6
Step-by-step explanation:
Parallel lines cut by transversals have proportional segments.
25/30 = 48/x
25x = 30 * 48
25x = 1440
x = 57.6
Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)
Given:
The expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
To find:
The terms and like terms in the expression.
Solution:
Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".
Like terms: The terms which contain same variables with same power are known as like terms.
The given expression is:
[tex]x^2-3x+4+2x^2-x-12[/tex]
It can be rewritten as:
[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]
Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].
Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].
Tenemos 2 triangulos donde sus angulos mieden 46 y 66 respectivamente, y el lado adyacente a ellos mide 15cm, el criterio de congruencia es
Answer:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.
Step-by-step explanation:
Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.
What is the solution to the following equation? (4 points)
2(3x − 7) + 18 = 22
a
1
b
3
c
5
d
6
Answer:
Zoom it
mark me as brainliest
The answer is 3
Open the brackets:2(3x - 7)=6x -14
6x - 14 +18 =22
Take all the numbers to the other side
6x =22+14-18
6x =18
Divide by 6 kn both sides
x=3
Expand logarithm equation
Answer:
6log_4(x) - 4log_4(y)
f(x)=-2(x-4)^2+8 find the vertex
Set the polynomial equal to
y
to find the properties of the parabola.
y = -3(x+4)^2 - 8
Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k
a = -2
h = -4
k = -8
Find the vertex (h,k)
(-4, -8)
As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
What is the vertex form of a quadratic equation?"The vertex form of a quadratic equation is:
y = a(x - h)² + k
Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.
Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."
Here, the given quadratic equation is:
y = f(x) = -2(x - 4)² + 8
By comparing it with the vertex form of a quadratic equation, we get:
h = 4, y = 8.
Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).
Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597
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Algebraically, find the roots of x² - 4x - 5=0,
6x + 2(5x -6) how do i get the answer?
Find the area of the shaded region. Round your answer to the nearest hundredth.
Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.
The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)
Answer:
FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COMEPLEASE MARK ME AS BRAINLIEST
Thus the area of shaded region is 301.5 cm^2.
What is circle?"The collection of all points equidistant from a fixed point in a plane is called a circle".
For the given situation,
The radius of the inner circle be r = 8 cm and
the radius of the outer circle be R = 16 cm
The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]
Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]
⇒[tex]200.96[/tex]
≈[tex]201[/tex]
Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]
⇒[tex]803.84[/tex]
≈[tex]804[/tex]
The shaded region replicates the semicircle. So,
Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]
⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]
⇒[tex]402-100.5[/tex]
⇒[tex]301.5 cm^{2}[/tex]
Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]
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Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
p=9
Step-by-step explanation:
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
Independent Practice
Now practice solving some problems.
Which number is a solution of the inequality ?
[tex]\frac{4-m}{m}[/tex][tex]\geq[/tex]5
IT'S NOT A. 2
A.
2
B.
0.75
C.
–4
D.
0.5
Answer:
B
Step-by-step explanation:
Answer:
m ≤ 2/3 or m ≤ .67
Step-by-step explanation:
cross-multiply:
4 - m ≥ 5m
4 ≥ 6m
4/6 ≥ m or m ≤ 2/3
find the circumference of a circle with a radius of 9.8 in. (urgent)
Answer: 61.58
Step-by-step explanation:
C = 2 π r = 2 · π · 9.8
π = pi
radius times pi (3.14) times 2 (because two radius makes the diameter)
9.8 times 3.14 times 2 = 61.57522in
Now we round.. 61.58
:) I hope this helps!
An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?
Answer:
isosceles right triangle
Step-by-step explanation:
In this question it is given that the two sides of easel are same.
A triangle formed has three sides - two of easel and one of the table itself.
The angle formed in 90 degrees (right angle)
Hence the triangle is a isosceles right triangle
CARL BUYS 4 ONT PINT CARTONS OF MILK. HE BUYS LESS JUICE THAN MILK. WHICH COULD BE THE AMOUNT OF JUICE.
Answer:
0 pints ≤ J ≤ 4 pints
Where J is the amount of juice that Carl bought.
Step-by-step explanation:
Here we need to learn how to use the inequality symbols.
Let's define each one of them:
A < B (A is strictly smaller than B)
A > B (A is strictly greater than B)
A ≤ B (A is smaller than or equal to B)
A ≥ B (A is greater than or equal to B)
A ≠ B (A is different than B)
Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.
Then the total amount of mil that he buys is 4 times one pint, this is:
4*1 pint = 4 pints
He has 4 pints of milk.
And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:
J < 4 pints
This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)
If we want to be more correct, we should write:
0 pints ≤ J ≤ 4 pints
Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)
3. During the period of October 1 to 15, Cathy Powers spent the following: October 1, rent, $540;
October 6, electricity, $48.55; October 7, food, $34.15; October 6, dinner at the China Palace,
$12.80; October 12, blouse, $18.95, October 14, food, $38.60; October 15, magazine, $2.00,
and batteries, $6.50. Make a cash record of her expenses and total them.
Answer: Cathy spent a total of $701.55.
Step-by-step explanation:
what is the greatest common factor (GCF) of 88 and 132?
1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob
OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC
Answer:
Um what’s this language?
Step-by-step explanation:
Peter collects antique marbles. He has these two boxes full of marbles. Which box has the larger volume? How much larger is it?
Answer:
The one with marbles should have a larger volume because the box must be larger also.
Step-by-step explanation:
Which number line shows the correct locations of all the given values?
Answer:
it would be c because it is plotted correctly
anyone know this?????
Answer:
WZX=57
Step-by-step explanation:
90-33 = 57
You don't have to use the equation unless you want to check yourself.
Which of the following could be a rational number
What are the options???
Write an equation in slope intercept form of the line that passes through the points (4,13) and (8,18)
A. y=2.5x+3
B. y=1.5x+7
C. y=2x+5
D. y=1.25x+8
Answer:
y=5/4x+8 Answer Choice D).
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(18-13)/(8-4)
m=5/4
y-y1=m(x-x1)
y-13=5/4(x-4)
y-13=5/4x-20/4
y-13=5/4x-5
y=5/4x-5+13
y=5/4x+8
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon