Answer:
6x-3y=12
+3y
6x=3y+12
divide by 3
2x=y+4
-4
y=2x-4
Hope This Helps!!!
QUICK PLEASE Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.
Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4
Josiah’s work:
StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
Answer:
Sample 1
Step-by-step explanation:
the table of value shows a linear relationship
Answer:
I believe your answer is A
Step-by-step explanation:
Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5
Hope this helps! :)
Find the quadratic polynomial that completes the factorization.
u^3 - 27 = (u - 3)
Answer:
[tex]u^2+3u+9[/tex]
Step-by-step explanation:
The way to remember it, is like the square of a binomial, but all coefficients are 1.
So it's the square of the first term. The cross product. The square of the second. And you take only one of them.
In our situation is [tex]u^2+3u+9[/tex]
If you want a way to find it, the way you think is it. It's a second degree polynomial, so [tex]au^2+bu+c[/tex]. Then you multiply the terms together, and you have to get terms removing in a way that you're left with just [tex]u^3-27[/tex]. With some number crunching you'll end up with [tex]a=1; b=3, c=9[/tex]
i know the answers but my calculations won't provide them and i need to know what work to show
the answers are
a) x^2+7x+10
b) x^2-x-6
[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
1a) (x + 2)(x + 5)
⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)
⇒ (x²) + (5x) + (2x) + (10)
⇒ (x²) + (5 + 2)x + (10)
⇒ (x²) + (7)x + (10)
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
1b) (x + 2)(x - 3)
⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)
⇒ (x²) + (-3x) + (2x) + (-6)
⇒ (x²) + (-3 + 2)x + (-6)
⇒ x² + (-1)x - 6 = x² - x - 6
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
3. Monthly sales figures for January are 5600. This is expected to fall for the following 9 months at a rate of 2% each month. Thereafter sales are predicted to rise at a constant rate of 4% each month. Estimate total sales for the next two years (including the first January).
For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the total sales for the next two years is mathematically given as
A=11968.04
What are total sales for the next two years (including the first January).?Generally, the total sales is mathematically given as
A=5600(1-2/100)^9(1+4/100)^24
A=5600(.98)^9(1.04)^24
A=11968.04
In conclusion, total sales for the next two years
A=11968.04
Read more about Arithmetic
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5
5
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
3
2
+
(3, 1)
-5 -4 -3
2
=
3
4
5
х
-11 2
| (0, 1)
-2.
O y=x+3
O y=x+2
O y=-*x+3
O y=-x+2
-3
-5
Answer:
b
Step-by-step explanation:
The solution is, the slope-intercept form equation is, y = -4x -6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
The given segment has a rise if 1 for a run of 4, so a slope of ...
m = rise/run = 1/4
The desired perpendicular has a slope that is the negative reciprocal of this:
m = -1/(1/4) = -4
A point that has a rise of -4 for a run of 1 from the given midpoint is ...
(-1, -2) +(1, -4) = (0, -6) . . . . . . . the y-intercept of the bisector
So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...
y = mx +b
y = -4x -6
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Which method do you prefer when comparing numbers written in scientific notation? Explain why you prefer this method using examples. PLS HURRY
Answer:
If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.
Step-by-step explanation:
The general form in scientific notation is
z.z ×10^zwhere z is integer
So while comaparing
We usually compare z.z rounded to similar significant numbers .
In rest case
we use power of 10 ,the number which has higher that's bigger.Example
1.27×10⁴1.24×10⁴First one is bigger
A car travels 80 miles on 3 gallons of gas. At the same rate (in miles per gallon) l, how many miles will the car be expected to travel on 5 gallons of gas?
A. 48
B. 130
C. 133 1/5
D. 160
Answer:
C
Step-by-step explanation:
PLEASE HELP ILL MARK AS BRAINLIEST!!! Select the correct answer.
What is the value of this expression when c = 25 and d= 14?
a. 50
b. 7
c. -6
d. -10
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 58 degrees. Find the height of the tree.
Answer:
height of tree is 80 feet.
Step-by-step explanation:
Given:-
Distance of point from tree's foot:- 50 feetAngle of elevation:- 58 degreesTo find :-
Height of treeSolution:-
In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.
We know ,
tan 58° = AB/BC
1.6 = AB/50 feet
(Cross Multiplication)
80 feet :- AB
Note:- Figure is in attachment and is a rough work.
I had to only use a pic because no one would be able to understand, worth 100 points IF you get it correct.
Total left
2-1/4+2/4+1-3/49/4+2/4+7/49+2+7/418/44-2/4Answer:
[tex]4\:\dfrac{2}{4}[/tex]
Step-by-step explanation:
Add the amounts of each pie left :
[tex]2 \frac{1}{4}+\dfrac{2}{4}+1 \frac{3}{4}[/tex]
Separate the whole numbers and the fractions:
[tex]\implies 2+ \dfrac{1}{4}+\dfrac{2}{4}+1+\dfrac{3}{4}[/tex]
Add the whole numbers and fractions separately:
[tex]\implies 2+1+\dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}[/tex]
[tex]\implies 3+\dfrac{6}{4}[/tex]
Convert 6/4 into a mixed number:
[tex]\implies 3+1\frac{2}{4}[/tex]
Add the whole numbers:
[tex]\implies 4\frac{2}{4}[/tex]
Sonya took out a mortgage of $65,000 at 7% for 25 years. What is the cost of the mortgage?
The cost of the mortgage is $81250
What are interests?
Interests are percentages of a principal
Given the following parameters
Principal = $65000
Rate = 7% = 0.07
Time = 5 years
I = PRT/100
I = 65000*0.07*25
I = 16,250
Cost of mortgage = Principal + Interest
Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250
Hence the cost of the mortgage is $81250
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Answer:
$72,823
Step-by-step explanation:
just took test
A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains at its current rate, what will the price be 5 years from now?
Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.
What is the price of the bond five years from now?The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.
Yield to matuity can be determined using a financial calculator:
Cash flow in year 0 = -875
Cash flow each year from year 1 to 25 = 85
Cash flow in year 25 = $1000
Yield to matuity = 9.86%
Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]
Future price factor = [1 - (1/YTM)^n] / YTM
= [1 - 1/0.0986^20] 0.0986 = 8.595555
[85 x 8.595555 ] + 152.478323 = $883.10
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Which of the following describes the solution to a system of linear inequalities?
A. The soultion is the region where both shaded parts overlap.
B. The solution is everything on the shaded graph.
Answer:
A. The solution is the region where both shaded parts overlap.
Step-by-step explanation:
The solution to a system of linear inequalities is the intersection region of the solution of both inequalities. Or you could also say that it's the region where the graphs of the inequalities in the system overlap.
The shaded area represents the solution and where the two inequalities overlap.
HELP ME OUT PLEASE!!!
4) What is the volume of the cone in terms of pi?
Volume of the cone = 1/3 x base area x height
so
V = 1/3 x pi x r² x h = 1/3 x pi x 2² x 6 = 8 x pi
A parabola can be drawn given a focus of (1, -7) and a directrix of y = 1. Write the
equation of the parabola in any form.
Answer:
Step-by-step explanation:
focus (1 , -7) ⇒ a = 1 & b = -7
y = 1 ⇒ c = 1
Equation of parabola :
(x - a)² + (y - b)² = (y - c)²
(X - 1)² + (y + 7)² = (y - 1)²
Now, expand.
x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1
x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1
x² - 2x + 1 + y² - 14y + 49 - y² + 2y - 1 = 0
x² - 2x + y² - y² - 14y + 2y + 1 + 49 - 1 = 0
x² - 2x - 12y + 49 = 0
What is the volume of a rectangular prism that is 4 ft. by 12 ft. by 6 ft.? Question 21 options: 324 ft.³ 205 ft.³ 288 ft.³ 315 ft.³
Answer:
288 ft³
Step-by-step explanation:
The formula to find the volume of a rectangular prism is :
Volume = length × width × height
Let us find it now.
Volume = 4 ft × 12 ft × 6 ft
Volume = 48 ft² × 6 ft
Volume = 288 ft³
Karen drew a triangle with side lengths 3 centimeters, 4 centimeters, and 5 centimeters. What is the perimeter of the triangle?
Answer:
12 cm
Explanation:
The formula or method to find the area of any shape is to go around the shape.
In this case, they are 3, 4 and 5.
p = 3 + 4 + 5
p = 12 cm
$6500 for 5 years at 5.5% compounded monthly
Answer:
$8,552.07
Step-by-step explanation:
The final balance is $8,552.07
The total compound interest is $2,052.07
A production process produces 2.5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?
Using the binomial distribution, it is found that there is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we want P(X = 2) with p = 0.025, n = 5, hence:
[tex]P(X = 2) = C_{5,2}.(0.025)^{2}.(0.975)^{3} = 0.0058[/tex]
There is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?
Answer:
2.25 tablespoons of oregano
Step-by-step explanation:
as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25
Pleade god help me find someone to help me thank you
Answer:
yw
Step-by-step explanation:
makin a chart :)
Please help with this
Answer:
1) the quadratic formula2) factoring (zero product property)Step-by-step explanation:
1) using quadratic formula
(b)² - 4ac ----(always write the formula)
3 ( 4x + 1 )² - 5 =25
(12x + 1)² - 5 = 25 (using (a+b)^2)
144x² + 24x +1 - 5 = 25
144x²+ 24x - 4 = 25
144x² + 24x =29
144x² + 24x - 29= 0 (thus, formed and equation)
A=144, b= 24, c= -29
(24)² - 4(144 X -29)
576 - 4 X -4176
576 + 16704=0
17280>0, therefore it has 2 distinct real roots2) x²-8x+12=0
sum= -8, product= 12
-2,-6
so,
x²-2x -6x + 12
x ( x - 2 ) -6 ( x - 2 )
(x-2) (x-6)
X= 2, 6Hope it is correct and helpful
Stay safesorry for the late answerFind the distance between the two points in simplest radical form.
(8, 2) and (0, -3)
Answer:
√89
Step-by-step explanation:
Plug into Distance formula --> √(0-8)^2 + (-3-2)^2
---> √89
7)
20 cm
12 cm
14 cm
Find the area of the gray shaded region in the figure.
A)
84 cm?
B)
112 cm?
196 cm
行
Ε
D)
280 cm?
Answer:
where is the figure
pls send it
the legnth of a rectangle is three times its width. if the perimeter of the rectangle is 64 in, find the length and width
Step-by-step explanation:
According to the question,
Let the width of rectangle be x and length of rectangle be 3x
Perimeter of Rectangle :- 2(L+B) = 64 in
Putting the values we get ,
2(3x+x) = 64 in
8x = 64 in
x = 8 in
Putting the value of x ,
Width :- 8 Inch
Length :- 24 inch
[tex]\rightarrow[/tex] Length(l) of the rectangle is three times it's width(w) = 3w.
[tex]\rightarrow[/tex] Width(w) of the rectangle = w.
[tex]\rightarrow[/tex] Perimeter of the rectangle = 64in.
To Find:-[tex]\rightarrow[/tex]Length and width of the rectangle.
Solution:-[tex]\rightarrow[/tex] Perimeter of rectangle = [tex]\sf{2(l+w)}[/tex] putting the value of perimeter, l and w from the above given)
[tex]\rightarrow[/tex] 64 = [tex]\sf{2(3w+w)}[/tex]
[tex]\rightarrow[/tex] 64 = [tex]\sf{2(4w)}[/tex]
[tex]\rightarrow[/tex] 64 = [tex]\sf{8w}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{\frac{64}{8}}[/tex]= [tex]\sf{w}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{8}[/tex]= [tex]\sf{w}[/tex]
Therefore, width of the rectangle = 8in.
And Length = 3(8)in. = 24in.
To check whether the answer is correct or not, we can put the value of length and width in the formula = [tex]\sf{2(l+w)}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 2(24+8)}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 2(32)}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 64in.}[/tex]
Since, the perimeter of the rectangle is same as given in the question, therefore the value of length and width are correct.
_______________________________
Hope it helps you:)
The quotient of a number and three is six
What is the number?
Answer:
the quotient of 18 and 3 is 6
Step-by-step explanation:
do the inverse and get 6x3=18
what is the correct distribution of (2x-8)(3x-6) using the distributive property
Answer:
6x² -36x +48
Step-by-step explanation:
The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)
(2x -8)(3x -6) = 2x(3x -6) -8(3x -6)
= 6x² -12x -24x +48 . . . . . . . form partial products
= 6x² -36x +48 . . . . . . . collect terms
Answer:
6x² - 36x + 48
Step-by-step explanation:
(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6
6x² - 12x - 24x + 48
6x² - 36x + 48 [Answer]
PLEASE RATE!! I hope this helps!!
if you have any questions comment below!!
(I have verified my answer using an online calculator)
A runner is preparing for a marathon that is divided into 5 sections of equal distance. The Marathon is 42.195 km long. How long is each section of the marathon?
A. 210.975
B. 21.0975
C. 8.439
D. 0.8439
Answer:
8.439
Step-by-step explanation:
Since the marathon is divided on 5 EQUAL sections, and it is 42.195 km long, you only need to divide the length of the marathon by 5.
Can u help me? thank you
Answer:
x =10
Step-by-step explanation:
30:12 is a 2.5 ratio so the smaller one is 2.5x smaller so 25/x = 2.5 or 25/2.5 = x = 10