Answer:
An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .
1,320 feet is what fraction of a mile?
Answer:
1/4
Step-by-step explanation:
divide the value in feet by 5280 because 1 mile equals 5280 feet.
Answer:There are 5280 feet in one mile; thus
1320/5280 = 1/4
Step-by-step explanation:
sorry if its not correct }:
Multiply and collect like terms: (3q−8)(q−1).
Combine like terms
3q^2 − 11q + 8
choose all the ones
Bella is taking classes at her local gym where a few pricing choices are available to her. She wants her average cost for each class to be below $6 per class. Which pricing choice has an average price less than $6 per class?
Choose all that are correct.
A.
$196 for 35 classes
B.
40-class pass for $260
C.
50-class pass for $250
D.
10-class pass for $55
E.
$342 for 45 classes
Answer:
A, C, D
Step-by-step explanation:
A. $5.60 per class
$196 divided by 35
B. $6.50 per class
$260 divided by 40
C. $5.00 per class
$250 divided by 50
D. $5.50 per class
$55 divided by 10
E. $7.60 per class
$342 divided by 45
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
1/2 added to 1 v equals
Answer:
3/2v
Step-by-step explanation:
v+1/2 is 1.5v or 3/2v.
Hope this helps :D
If someone could please help me then that would be great.
Answer: Infinite Solutions
Step-by-step explanation: Make the top x and y values times -2 to cancel all the variables and numbers out to get 0 = 0 so it would be Infinite Solutions.
And if you multiply by 2 you get the exact same equation.
If I am wrong let me know!
Hope this helps!
1+1+2+2+8+19+1234385993 hehe i will brainlest
Answer: 1234386026
Step-by-step explanation:
Answer:
1,234,386,030
Step-by-step explanation:
Please help it would help alot
Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
32
16
11
Two needed formulas,:
To find the area of a parallelogram, use
A = bh.
To find the area of a semicircle, use
Area = (πr^2)/2.
The area of the parallelogram is 11 x 32 or 352.
The two semicircle have the same measure.
The radius of the semicircle is (1/2)(16) or 8.
Area = (π8^2)/2
Area = 64π ÷ 2
A = 32π
There are two semicircle.
So, the area of both semicircle combined is
2(32π) or 64π.
Area of figure = 64π + 352.
Area of figure = 553.0619298304
We now round to the nearest tenths to get
Area of the figure = 553.06.
Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Factorise fully
15x-10
Answer:
15
x
+
10
y
Factor
5
out of
15
x
.
5
(
3
x
)
+
10
y
Factor
5
out of
10
y
.
5
(
3
x
)
+
5
(
2
y
)
Factor
5
out of
5
(
3
x
)
+
5
(
2
y
)
.
5
(
3
x
+
2
y
)
Step-by-step explanation:
An island population of 20,000, grows by 5% each year, compounded continuously. How many inhabitants will the island have in 5 years according to the exponential growth function? Round your answer down to the nearest integer, and do not include the units in your answer.
Answer:
The answer is "25680.508"
Step-by-step explanation:
Use formula:
[tex]A=Pe^{rt}[/tex]
[tex]=20000 \times e^{((0.05) \times (5))}\\\\=20000 \times e^{(.25)}\\\\=25680.508[/tex]
Find the solution of this system of equations
2x - 2y = -20
-2x + 4y = 14
On a map , 1 inch represents 10 feet . How many inches would represent 35 feet .
Answer:
3 and a half inches or 3.50 inches
Step-by-step explanation:
if ten feet is 1 inch 30 feet would be 3 inches, 5 feet would make a half a inch since 10 feets divided by 2 is 5. one inch divided by 2 is 0.50 inches (or a half)
there for the answer is 3 and a half inches
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
16. Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
17. Joseph has 30 coins and they are all either dimes or nickels. The total $2.15. How many dimes does he have?
18. A golfer completed 18 holes with a total of 79 strokes. On each hole he met par, which was either four or five each time. How many holes were played in four strokes?
19. There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
20. There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Answer: Here are the answers. I walked you through 16 in my answer.
16. 3x=2y
1 =y-x
x=2 and y=3
17. $2.15=.10d+.05n
d=30-n
There are 17 nickels and 13 dimes
18. 18=4x+5y (since that's the total amount of holes and each par is either 4 or 5 strokes each)
4x=79-5y (since there are 79 total strokes and each was either 4 or 5)
No solution
Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.
3x=2y
so 3x=2(x+1)
y=x+1
3x=2(x+1) --- orig equation
3x=2x+2 --- distributive property (Multiplied x+1 by 2)
x=2 ---- subtracted 2x from both sides
**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).
For 18, the lines are parallel so they never intersect. There is no solution.
answer:
16. 3x = 2y, 1 = y - x → 2, 3
17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels
18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes
19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3
20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6
i hope this helps!! ♡
Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not
a whole number, round to the nearest tenth.
Answer:
15. [tex] x = 15 [/tex]
17. [tex] c = 13.2 [/tex]
19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]
Step-by-step explanation:
15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)
Solve for x
[tex] 120 = 8x [/tex]
Divide both sides by 8
[tex] 15 = x [/tex]
[tex] x = 15 [/tex]
17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)
Solve for c
[tex] 31*11 = 169 + 13c [/tex]
[tex] 341 = 169 + 13c [/tex]
Subtract 169 from each side
[tex] 341 - 169 = 169 + 13c - 169 [/tex]
[tex] 172 = 13c [/tex]
Divide both sides by 13
[tex] \frac{172}{13} = \frac{13c}{13} [/tex]
[tex] 13.2 = c [/tex] (nearest tenth)
19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)
Solve for x
[tex] 5x + 25 = 22*7 [/tex]
[tex] 5x + 25 = 154 [/tex]
Subtract 25 from each side
[tex] 5x + 25 - 25 = 154 - 25 [/tex]
[tex] 5x = 129 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{129}{5} [/tex]
[tex] x = 25.8 [/tex] (nearest tenth)
[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)
Solve for y
[tex] y^2 = 7*22 [/tex]
[tex] y^2 = 154 [/tex]
Take the Square root of both sides
[tex] \sqrt{y^2} = \sqrt{154} [/tex]
[tex] y = \sqrt{154} [/tex]
[tex] y = 12.4 [/tex] (nearest tenth)
Order the following numbers from least to greatest
-14/3
-5.1
-4
Answer:
-14/3 -5.1 -4
Step-by-step explanation:
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.
The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to ≥.
Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Answer:
|0.251 < p < 0.289|
Step-by-step explanation:
Given that:
The proportion of people who like dark chocolate than milk chocolate in a made up poll is 27%
Margin of Error = 1.9%
The conclusion about the proportion p using absolute value inequality ;
Interval :
P ± margin of error
27% ± 1.9%
(27 - 1.9)% ; (27 + 1.9)%
25.1% ; 28.9%
0.251 ; 0.289
Hence,
|0.251 < p < 0.289|
Find the lcm of 15,30 and 105
Answer:
The LCM of 15, 30, and 105 is 210
Step-by-step explanation:
15, 30, 105
Solution: List the prime factors of each.
15: 3 * 5
30: 3 * 10
105: 3 * 5 * 7
Multiply each factor the greatest number of times it occurs in any of the numbers.
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
A great white shark can swim 50 feet below sea level. Which best represents the opposite of the depth the great white shark can swim, resolute value?
No choices given for your question.
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
Find the volume of the prism
Answer:
do you have an image for that?
Step-by-step explanation:
there are 600 pupils in school. the ratio of boys to girls is 3:5. How many girls a d how many boys are in this school?
Step-by-step explanation:
Here,
No. Of total =600
Let,
no. Of boy=3x
no. Of girls = 5x
By the question,
Number of boys and number oof girls =600
or,3x +5x=600
or, 8x =600
or, x= 600/8
or, x= 75
Again,
No. Of boys =3x
Or, 3 * 75
=225
No. Of girls = 5x
Or, 5 * 75
= 375
who was nestor? why is he referred?
Answer:
Answer. Nestor is actually one of the leaders of the Greeks in the Trojan War which figures prominently in Homer's Iliad. He is absolutely not a character in the novel The Merchant of Venice but he has been referred in the extract because he represents wisdom and good moral judgment.
Hope this helps, have a great day/night, and stay safe!
find the slope of (6,3) and (5, -1)
Answer:
the slope is 4
Step-by-step explanation:
the slope is found by subtracting the y values for the numerator and then subtracting the x values for the denominator
y values -1-3=-4
x values 5-6=-1
slope=-4
slope=4
-1
Answer:
4
Step-by-step explanation:
Formula for solving for the slope of two points-
(y2-y1)/(x2-x1)
(-1-3)/(5-6)=
-4/-1=
4/1=
4
I'll mark brainly if you do this
Answer:
look it up on Google
Step-by-step explanation:
4. Zack went into a frame it yourself shop. He wanted a frame 3-in longer than it was wide. The frame he chose has an area of 18-in squared. What are the dimensions of the length and width of the frame Zach purchased? *
Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.
Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1
Answer:
Step-by-step explanation:
x = 0
x+3 = 0
x = -3
The answer is x could be 0 or -3
Answer:
c on edge
Step-by-step explanation:
263/4 options 65r2 64r7 65 65r3
Answer:
65R3
Step-by-step explanation:
260/4 is a whole number, so then there would be a remainder 3. The only one with a r3 is D.
Hope this helps :D