Example 5: Writing and Solving an Equation
The circles are identical. What is the area of each circle?
x + 2
4X
Please help…
Step-by-step explanation:
radius =x+2
diameter=4x
Diameter=2(radius)
4x=2(x+2)
4x=2x+4
4x-2x=4
2x=4
x=4/2
x=2
Subtitute x=2 in radius:
r=2+2=4
Area=πr²
Area=3.14×4²
Area=3.14×16
Area=50.24
Both the circles are identical so area is same.
Note:if you need to ask any question please let me know.
Yasmeen Is a member of the I love movies club. She paid a one time fee for $40 to join now only pays one dollar per movie to rent. Michael did not join the club, so he paid $6 per movie to rent. How many movies will Yasmeen and Michael have to rent to pay the same amount? Let M represent the number of movies.
Answer:
M=8
Step-by-step explanation:
6x8=48
40+8x1=48
If the function is f(x)=−3x+7, what is f(1/3)=
Answer:
6 is the answer. Hope this helps you! Stay blessed .
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14 degree decrease
Step-by-step explanation:
8-14= -6
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 59,540 words how many pages is the book? (This sentence and picture combine.)
Answer:
199 pages
Step-by-step explanation:
The average number of words on the page is 300. Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).
Which of the following demonstrates the distributive property?
A. (r + s)t = (s+r)t
B. (r + s)t=r + (st)
C. (r + s)t = t(r + s)
D. (r + s)t = rt + st
Answer:
D. (r + s)t = rt + st
Step-by-step explanation:
Distribute means that the term outside gets multiplied to each term on the inside of the parentheses
(r + s)t = rt + st
HELP I'M REWARDING 50 POINTS (YA IKR 50 WOW) IF YALL GET THIS RIGHT..
Answer:
232
Step-by-step explanation:
Since the polygon is regular, each side of the polygon is equal
[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]
[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]
[tex] \frac{22}{3} = \frac{1}{3} x[/tex]
[tex]x = 22[/tex]
This means each side is worth
[tex]22 + 7 = 29[/tex]
or
[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]
There is 8 sides so the perimeter is
[tex]29 \times 8 = 232[/tex]
2. Write each of these expressions in the form (+)!+, where and are constants.
a)6!+12−3
b)−18+3!+4
Step-by-step explanation:
a)6!+12-3
=6!+9
b)-18+3!+4
=3!-14
=3!+(-14)
both are in the form if (+)!+constant.
Note:if you need to know any question about it please let me know.
Which best describes the meaning of the statement "If A and B ? i dont understand this
A. If A is false then B must be false
B. If A is true then B must be true
C. If A is false , then B must be false
D. if A is true then B might be true
draw the graph of the following equation 2(x+1)=3(y-1)-4
anyone knows how to do this ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I find the easiest way to draw a graph is to let a graphing calculator do it. That result is shown in the attachment.
__
If you're drawing this by hand, it can be easier if it is simplified a bit.
2(x +1) = 3(y -1) -4
2x +2 = 3y -3 -4 . . . . . . eliminate parentheses
2x +9 = 3y . . . . . . . . . . add 7
y = 2/3x +3 . . . . . . . . . divide by 3
This is the equation of the line in slope-intercept form. It tells you that the point (0, 3) on the y-axis is on the line, and that it has a slope of 2/3. That means it has a rise/run of 2/3, or a rise of 2 units for each 3 units to the right.
Starting from point (0, 3), another point on the line will be 3 over and 2 up, at (3, 5). Once you have a couple of points plotted, you can draw the line through them to make your graph.
4 – 2(x + 7) = 3(x + 5)
Answer:
x = -5
Step-by-step explanation:
4 – 2(x + 7) = 3(x + 5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
Answer:
x = -5
Step-by-step explanation:
4 - 2(x + 7) = 3(x + 5)
so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.
2(x + 7) = 2x + 14
3(x + 5) = 3x + 15
so, in total
4 - 2x - 14 = 3x + 15
now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).
-2x - 10 = 3x + 15
-25 = 5x
and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.
-5 = x
If there are 3.28 feet in a meter , how many are in the 110 meter dash?
In 110 meter dash, there are 360.8 feet.
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given that, there are 3.28 feet in a meter
Since,
in 1 meter there are = 3.28 feet
Thus in 110 meters there are = 3.28 * 110 feet
In 110 meters, there are = 360.8 feet
Therefore, there are 360.8 feet in 110 meters dash.
Learn more about Simplification here:
https://brainly.com/question/28996879
#SPJ
A landscaper buys for bushes and seven trees for a total of 855.65 if a tree cost $101.95 what is the cost of a bush
$35.50........... ....
Answer:
7 554 .5
Step-by-step explanation:
46£¥^99$
368¥/%#(₩098$%(₩¥=98€€₩($$¥97
Please help Q15!!!it will mean a lot +20 points
Answer:
c seems right
Step-by-step explanation:
[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]
How do you simplify that expression?
Answer:
[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]
rationalise the denomimator:
[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]
Which system of inequalities is represented by the graph? ⎧⎩⎨⎪⎪y<−12x+2y≤2x−1y≥−4 ⎧⎩⎨⎪⎪y>−12x+2y≥2x−1y≥−4 ⎧⎩⎨⎪⎪y>−2x+2y≥12x−1y≥−4 ⎧⎩⎨⎪⎪y<−2x+2y≤12x−1y≥−4
Answer: D
Step-by-step explanation:
Let say a: the line decreasing
b: the line increasing
[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]
[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]
Answer is D
What has a ring but no finger?
Answer:
ringtone
Step-by-step explanation:
phone ringtone
en un trabajo manual de una escuela secundaria se necesitan pedazos alambron de 10,12,16,20 cm de largo, sin que sobre ni falte material. ¿cuanto sera la mejor longitud de alambron que utilice?
a) 80cm b) 360cm c)320 d)120cm e) 240cm
Answer:
there is no answer of this question
Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15
(3x + 7)(2x - 1) equals 6x^2 + 11x − 7
Explanation: You expand the polynomial using the FOIL method.
Using the numbers 2,7,13,11,5 can you get the total of 23? (No negatives, No repetitive Numbers and only)
Answer:
7, 11, 5
Step-by-step explanation:
7 + 11 = 18
18 + 5 = 23
Amy is six years older than her brother Leo. Leo is seven years old.
If n stands for Amy’s age, which of these sentences could be used to find her age?
I need help with this problem and please show step by step
Answer:
a).
[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]
b).
common difference, d:
[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]
c).
[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]
yes it is the same
Complete to get an equal ratio
5a/8ab = ?/ 24a^2 b
9514 1404 393
Answer:
? = 15a^2
Step-by-step explanation:
We assume you want
(5a)/(8ab) = (?)/(24a^2·b)
Multiplying by 24a^2·b, we get ...
(5a)/(8ab)·(24a^2·b) = ? = 15a^2
Jacob conducted a music survey among his friends. He reported that 0.42 prefer pop, 22% prefer rock, and 2/5 prefer hip hop, Explain what's wrong with Jacob's results. ASAP PLS
Answer:
Step-by-step explanation:
Based on ur graph, in a class of 90 students (20 rock, 40 hip hop, and 30 country...added = 90) , 30 chose country....30/90 reduces to 1/3.....so 1/3 chose country.
In a class of 450 students......1/3 * 450 = 450/3 = 150 chose country
Answer:
The total percentages do not equal 100%, they equal 102%. If all friends answered, his total should equal 100%
Step-by-step explanation:
0.42 is 42%, 22% is 22%, and 2/5 is 0.4 which is 40%. Together that is 102%. If all friends answered, his total should equal 100%
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].
Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:
[tex](8-4)(2+3)=(4)(5)=20[/tex]
Hence, the maintained product is [tex]20[/tex].
Thus, we have the following equation:
[tex](x-4)(y+3)=20[/tex]
Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:
[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]
help help help help help help
Answer:
the answer is no c because the translation is done in clockwise taking y intercept in 6 units
PLEASE HELP PLEASE PLEASE PLEASE
Alvin's age is three times Elga's age. The sum of their ages is 112. What is Elga's age?
Answer:
Elga is 37 years old
Step-by-step explanation:
(A shame they are not the same age but that would be too easy...)
So... they both equal 112 and one of them (Alvin) is 3 times older
Basically just divide 112 and 3
Answer : 37 years old
Check Work
112 - 37 = 75
75 + 37 = 112
Hope this helps :)
Evaluate :
A. [tex]x^{x^3}=3[/tex]
B. [tex]4^x +6^x =9^x[/tex]
Answer:
A. [tex]x^{x^3} = 3[/tex]log [tex]x^{x^3}[/tex] = log 3x³ log x = log 33x³ log x = 3 log 3x³ log x³ = log 3³[tex]x^3^{x^3}[/tex] = 3³x³ = 3x = [tex]3^{1/3}[/tex]B.4ˣ + 6ˣ = 9ˣ2²ˣ + 2ˣ3ˣ = 3²ˣDivide both sides by 2²ˣ
1 + (3/2)ˣ = (3/2)²ˣSubstitute (3/2)ˣ = t
t² - t - 1 = 0Solve for t:
t = (1 ± √5)/2Positive root is considered as (3/2)ˣ can't be negative.
(3/2)ˣ = (1 + √5)/2x = log [(1 + √5)/2] / log (3/2)x = 1.18681439028PLZZZZ help it will mean a lot :)
3x = 18
Divide both sides by 3 and simplify
x=6
Answer:
Step-by-step explanation:
assuming that you need to find the value of x
3x = 18
-divide both sides by 3
3x/3 = 18/3
-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6
x = 6
Geometry question. “Find the value of x that will make A||B.” Brainliest to whoever is correct
Answer:
Step-by-step explanation:
The two angles are interior angles on the same side of the transversal. They are supplementary.
2x + 50 + 5x - 80 = 180 Combine like terms
7x - 30 = 180 Add 30 to both sides
7x = 210 Divide by 7 on both sides
x = 210/7
x = 30