Answer:
See below.
Step-by-step explanation:
Part A: A system will have no solution when the graphs are parallel and do not intersect.
Part B: A system will have no solution when the equations have the exact same slope. The same slope means they are parallel and do not intersect. This is done easiest in slope-intercept form.
Look at the picture will give brainliest!!! Good luck!!
Answer:
A and D are your answers
Step-by-step explanation:
Solve for r.
r16≥8
r≥2
r≤2
r≥128
r≤128
The equation doesn't provide enough context to definitively solve for 'r'. Given the original equation r16 ≥ 8, r shouldn't be less than 1 if only integer values are accepted.
Explanation:In Mathematics, the original equation provided here, 'r16 ≥ 8', seems to indicate that a value 'r' is being multiplied by 16 and the product should be greater than or equal to 8. To solve for 'r', you would normally divide both sides of the equation by 16. However, each sub-question provided 'r ≥ 2', 'r ≤ 2', 'r ≥ 128', and 'r ≤ 128', indicates different potential solutions for 'r'. Without the proper context or further information it is difficult to properly solve for 'r'. Given the original equation, if only integer values are allowed, 'r' should not be less than 1 to maintain the inequality. Further clarification on the nature of 'r' and the context of the question is highly recommended.
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PLEASE HELP QUICK
Celia uses the steps below to solve the equation -3/8(-8-16d)+2d=24
Step 1 Distribute -3/8 over the expression in parentheses.
3-16d+2d=24
Step 2 Simplify like terms.
3-14d=24
Step 3 Subtract 3 from both sides of the equation.
-14d=21
Step 4 Divide both sides of the equation by –14.
d=21/-14=-3/2=-1 1/2
Which corrects the error in the step in which Celia made the first error?
In step 1, she should have also distributed -3/8 over 2d, to get 3-16d+(-3/4d)=24.
In step 1, she should have also distributed -3/8 over –16d, to get 3+6d+2d=24. In step 3, she should have added 3 to both sides of the equation to get -14d=27.
In step 3, she should have first divided both sides by –14 to get 3+d=24 .
Answer:
In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over –16d, to get 3 + 6 d + 2 d = 24.
Step-by-step explanation:
(B)
The error in the step 1, she should have also distributed -3/8 over –16d, to get 3 + 6d + 2d = 24
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
(-3/8)(-8-16d) + 2d = 24
Step 1: Distribute -3/8 over the expression in parentheses:
3 + 6d + 2d = 24
Step 2 Simplify like terms:
3 + 8d = 24
Step 3 Subtract 3 from both sides of the equation:
8d = 21
Step 4 Divide both sides of the equation by 8:
d = 21/8
The error in the step 1, she should have also distributed -3/8 over –16d, to get 3 + 6d + 2d = 24
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Whats the value of y
2y + 15 = 4y - 45
Answer:
[tex]\boxed{\bold{y=30}}[/tex]
Step By Step Explanation:
[ Step One ] Subtract 15 From Both Sides
[tex]\bold{2y+15-15=4y-45-15}[/tex]
[ Step Two ] Simplify
[tex]\bold{2y=4y-60}[/tex]
[ Step Three ] Subtract 4y From Both Sides
[tex]\bold{2y-4y=4y-60-4y}[/tex]
[ Step Four ] Simplify
[tex]\bold{-2y=-60}[/tex]
[ Step Five ] Divide Both Sides By -2
[tex]\bold{\frac{-2y}{-2}=\frac{-60}{-2}}[/tex]
[ Step Six ] Simplify
[tex]\bold{y=30}[/tex]
The “p hat” is calculated as
Formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat , where X represents the number of occurrence of desired event and n represents the specified of sample space.
What is p hat?" p hat is defined as the probability of the occurrence of random event to the specified sample space."
According to the definition,
p hat can be calculated using formula
[tex]p hat = \frac{X}{n}[/tex]
'X' represents the number of occurrence of the desired event
'n' represents the specified sample space.
p hat is nothing but the probability of finding specified sample size.
Hence, formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat.
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find the equation to a circle with a radius of 10 and a center at (-1, 7)
Answer:
[tex]\large\boxed{(x+1)^2+(y-7)^2=100}[/tex]
Step-by-step explanation:
The equation of a circle in standard form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (-1, 7) and the radius r = 10. Substitute:
[tex](x-(-1))^2+(y-7)^2=10^2\\\\(x+1)^2+(y-7)^2=100[/tex]
An airplane at cruising altitude starts descending for a landing. The function f (t) = 33,600 – 1500t describes its altitude t minutes after starting its descent. What is the airplane's altitude after 10 minutes?
ANSWER
18,600
EXPLANATION
The function that describes the altitude of the plane t minutes after starting its descent is
[tex]f(t) = 33600 - 1500t[/tex]
To find the airplane's altitude after 10 minutes, we substitute t=10 into the function.
[tex]f(10) = 33600 - 1500(10)[/tex]
[tex]f(10) = 33600 - 15000[/tex]
[tex]f(10) = 18600[/tex]
Therefore the airplane's altitude after 10 minutes is 18,600 units.
Evaluate C(8, 2). 56
28
40,320
20,160
Answer:
option B
28
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use
nCr = n! / r! * (n - r)!here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6!)}[/tex]
[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6*5*4*3*2*1)}[/tex]
[tex]\frac{8*7}2[/tex]
56/2
28
So, 8C2 = 28
The combination C(8, 2) in the given problem equals 28.
Mathematically, a combination refers to a selection of items from a larger set without regard to the order of selection. It is a way to count the number of different subsets or groups that can be formed from a given set.
In other words, a combination is a selection of r objects from a set of n distinct objects, where the order of selection is not considered. The number of combinations represented as C(n, r), represents the count of possible combinations.
It is known that C(n, r) = [tex]\frac{n!}{r!(n - r)!}[/tex],
So,
C(8, 2) = [tex]\frac{8!}{2!(8- 2)!}[/tex],
= [tex]\frac{8!}{2!6!}[/tex]
= [tex]\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{(2\times 1) (6\times 5\times 4\times 3\times 2\times 1)}[/tex]
= 28.
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Morgan started the year with $615 in the bank and is saving $25 per week Kendall started with $975 and is spending $15 per week .when will they both have the same amount of money in the bank ?
Answer:
Step-by-step explanation:
You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975. To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:
25w + 615 = 15w + 975
25w = 15w + 360
10w = 360
w = 36
Morgan and Kendall will have the same amount of money after 36 weeks.
To find the week when Morgan and Kendall will have the same amount of money in the bank, we set up the equation 615 + 25x = 975 - 15x and solve for x.
Explanation:To find the week when Morgan and Kendall will have the same amount of money in the bank, we need to set up an equation. Let x represent the number of weeks. The equation for Morgan's savings is 615 + 25x, and the equation for Kendall's savings is 975 - 15x. To find the week when they have the same amount of money, we set up the equation 615 + 25x = 975 - 15x. Solving this equation will give us the value of x, which represents the number of weeks.
615 + 25x = 975 - 15x
Combine like terms:
40x = 360
Divide both sides by 40:
x = 9
Therefore, Morgan and Kendall will have the same amount of money in the bank after 9 weeks.
what is the approximate area of a quarter circle with a radius of 22 m is using pi equals 3.14
Answer: The answer without estimation is 1,519.76 but with estimation it’s 1,520 m.
Step-by-step explanation:
The formula for this situation is A = pi(or in this case 3.14) times the radius squared. If you know the formula then the rest is just to plug in and estimate if you have too.
five less than a number is at least 40. write and solve an inequality to find the minimum value of the number
Answer:
45
Step-by-step explanation:
5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.
x-5 ≥ 40
x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)
∴x ≥ 45
In other words, x is at least 45.
Therefore, the minimum value of x is 45.
Final answer:
The inequality that represents 'five less than a number is at least 40' is x - 5 ≥ 40. To solve this, we add 5 to both sides, resulting in x ≥ 45. This means the minimum value of the number is 45.
Explanation:
To express the statement five less than a number is at least 40 as an inequality, let's designate the unknown number as x. The phrase five less than a number translates to x - 5, and at least 40 means the value is 40 or greater, which we write as ≥ 40. Combining these, the inequality is x - 5 ≥ 40.
Now, we solve the inequality step by step:
Add 5 to both sides: x - 5 + 5 ≥ 40 + 5
Simplify both sides: x ≥ 45
The minimum value of x is 45; therefore, any number that is 45 or greater satisfies the inequality.
the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4
Answer:
The answer for y=2x-4 would be...x=1/2y+2
Step-by-step explanation:
Step 1: Flip the equation.
2x-4=y
Step 2: Add 4 to both sides.
2x-4+4=y+4
2x=y+4
Step 3: Divide both sides by 2.
2x/2=y+4/2
x=1/2y+2
Answer:
(4,4)
Step-by-step explanation:
solve for the variable, then substitute
checked on calc and edge
please mark 5 stars when you get it right so this is easier to find lol
If Bradley has 4 times as many dimes as nickels and they have a combined value of 315 cents, how many of each coin does he have?
d=4n
315=5n+10d
315=5n+40n
315=45n
315/45=n
7=n
d=4n
d=4(7)
d=28
28 dimes and 7 nickels
what is the value of x to the nearest tenth?
Answer: 11.6
Step-by-step explanation:
We know that a radius that is perpendicular to a chord divides the chord into two equal parts .
Then by Pythagoras theorem of right triangle ,we have
[tex](6.5)^2=3^2+(\dfrac{x}{2})^2\\\\\Rightarrow\ 42.25=9+\dfrac{x^2}{4}\\\\\Rightarrow\ \dfrac{x^2}{4}=33.25\\\\\Rightarrow\ x^2=134\\\\\Rightarrow\ x=\sqrt{134}=11.5758369028\approx11.6[/tex]
Hence,the value of x = 11.6
Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair. If canvas is 6.75 per meter how much will Sid spend ?
Answer:
$3.38
Step-by-step explanation:
6.75/2= $3.375
Answer: $3.375
Step-by-step explanation:
Given : Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair.
Also, the cost of one meter of canvas = $6.75
Then, the cost of 0.5 meters is given by :-
[tex]0.5\times\$6.75\\\\=\$3.375[/tex]
Therefore, Sid will spend $3.375 on buying canvas material to make a carry all bag for his wheelchair..
i NEEEED HELP PLEASE COMMENT IF U WILL HELP ME. ITS AN ALGEBRA QUESTION Enter your answer and show all the steps that you use to solve this problem in the space provided.
f(x)=9x3+2x2−5x+4and g(x)=5x3−7x+4.what is f(x)−g(x)?
Show all of your steps and write your final answer in factored form.
PLEASE HELP FAST 20 PTS
f(x)= 9x^3+ 2x^2 -5x+ 4
g(x)= 5x^3 -7x+ 4
f(x) - g(x)
= (9x^3+ 2x^2 -5x+ 4) - (5x^3 -7x+ 4)
= 9x^3+ 2x^2 -5x+ 4 -5x^3+ 7x -4
= (9x^3 -5x^3)+ 2x^2+ (7x -5x)+ (4-4) (combine like terms)
= 4x^3+ 2x^2+ 2x
= 2x* (2x^2+ x+ 1)
The final answer is 2x* (2x^2+ x+ 1).
The final answer in factored form is 2x(x² + x + 1).
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
To find f(x) - g(x) ,, we subtract g(x) from f(x) term by term.
Subtract the like terms from f(x) and g(x):f(x) - g(x) = (9x³ + 2x² - 5x + 4) - (5x³ - 7x + 4) = 4x³ + 2x² + 2x
The final answer in factored form is 2x(x² + x + 1).
If 30% of the students in Mrs.Rutherfords class like chocolate ice cream, then how many students are in Mrs. Rutherford’s class if six like chocolate ice cream
Answer: 20
Step-by-step explanation:
6/30 = 0.2
0.2 times 100 = 20
Final answer:
After setting up a proportion and solving the equation 0.30x = 6, we find that there are 20 students in Mrs. Rutherford's class.
Explanation:
To determine how many students are in Mrs. Rutherford's class when 30% like chocolate ice cream and we know that 6 students like chocolate ice cream, we can set up a proportion where 30% (or 0.30) of the total number of students (which we will call x) is equal to 6. Therefore, the equation to find x is 0.30x = 6.
To solve for x, we divide both sides of the equation by 0.30:
0.30x = 6
x = 6 / 0.30
x = 20
So, there are 20 students in Mrs. Rutherford's class.
Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35
Answer:
x = 14
Step-by-step explanation:
3x+2x-7=2x+35
then solve for x
Answer:
x = 14
Step-by-step explanation:
We are given that A, B and C are collinear points and B is in between A and C.
The length from A to B is [tex] 3 x [/tex], length from B to C is [tex] 2x - 7 [/tex] and AC is [tex] 2 x + 35 [/tex].
We are to find the value of x.
[tex] A B + B C = A C [/tex]
[tex] 3 x + 2 x - 7 = 2 x + 3 5 [/tex]
[tex] 3 x + 2 x - 2 x = 3 5 + 7 [/tex]
[tex] 3 x = 4 2 [/tex]
[tex] x = \frac { 4 2 } { 3 } [/tex]
x = 14
What’s the highest common factor of 120 and 75
Answer:
Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
Find the prime factorization of 75
75 = 3 × 5 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5
GCF = 15
I hope this helps! Please mark me as brainliest and have a nice day! (:
~abelxoconda
Step-by-step explanation:
⇒GCF OF 120: 2,2,2,3,5
⇒GCF OF 75: 3,5,5
⇒GCF: 3,5
Therefor, The Greatest Common Factor (GCF) is: 3×5=15
* Hopefully this helps, Mark me the brainliest:)
Can someone help me with these 3 questions? I am really stuck on them. Thank you so much. I'm offering 80 brainly points.
Answer:
not sure about the answers to all the other one but the answer to the 3rd question is y=1
3x or y=1/3x
Layla wants to build a wooden box with a volume of 454545 cubic centimeters. She started with a width of 3\text{ cm}3 cm3, space, c, m and a height of 3\text{ cm}3 cm3, space, c, m.
How long should Layla make the box?
Answer:
91,125
Step-by-step explanation:
V=Bh
V=l*w*h
V=45*45*45
V=2,025 *45
V=91,125
Answer:
50,505 cm
Step-by-step explanation:
In order to calculate this you just have to calculate the length necessary to create a wooden box with the volume of 454545 cubic centimeters, and now you just have to calculate since you have the base of the area, measuring 3 cm by 3 cm, that would be 9 square centimeters, so you just have to divide the desired volume by 9 square centimeters:
454545/9=50,505 cm
So the length of the wooden box should be 50,505 cm in order to have a 454545 cubic centimeters wooden box.
Make 2 equations for this geometric sequence:
36, 18, 9, 4.5, 2.25, 1.125, 0.5625, 0.28125...
How to solve a Solve 4(3x-1) = 20
Answer:
x = 2
Step-by-step explanation:
expand the brackets firstly,
so 12x-4 = 20
then add the -4 onto the other side
so 12x = 24
then divide 24 by 12 to get x
so x = 2
Jessica has 48 coins, some of them are nickels and some are dimes. How many of each does she have if she has $3.25 total?
Nickel = 0.05
Dime = 0.10
XNickels + YDimes = 3.25
0.05X + 0.1Y = 3.25
You could do this using trial and error.
You know the maximum amount of dimes you could have is 32. Because 32 * 0.1 = 3.20. If you had 33 dimes, you'd go over the limit.
You also know you need to have 48 coins. If you have 32 dimes and 1 nickel, you will not have 48 coins.
You can try any number below 32. I will try 16 because it's half of 32.
16 * 0.1 = 1.60
48 - 16 = 32 coins left
32 * 0.05 = 1.60
1.60 + 1.60 = 3.20
We're a nickel off, therefore we need to remove a nickel and add a dime.
17 * 0.1 = 1.70
48 - 17 = 31
31 * 0.05 = 1.55
1.70 + 1.55 = 3.25
Jessica will have 17 Dimes and 31 Nickels.Jessica has about 31 nickels, 17 dimes which is worth $3.25
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of nickels and y represent the number of dimes.
x + y = 48 (1)
Also:
0.05x + 0.1y = 3.25 (2)
x = 31, y = 17
Jessica has about 31 nickels, 17 dimes which is worth $3.25
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Paula needs to sod square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3 square foot pieces of sod she needs how many?
Step-by-step explanation:
You would need how many square feet. Divide the amount of square feet of land by 3. That should be the answer if it divides evenly, if there is a decimal or a fraction after it then round up to the next whole number
Answer:
Paula needs to sod
3,855
square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3-square-foot pieces of sod she needs is
1,285
.
Step-by-step explanation:
The diagram shows one way to decompose this shape into two rectangles. One rectangle is 75 feet × 50 feet, and the other is 7 feet × 15 feet.
I need help!!! .............
answer = 9.125
first i changed the mixed number to a percentage 73/8 and did 73 divided by 8 to get my decimal.
Your yard is in a shape of a trapezoid
Answer:
1725
Step-by-step explanation:
50+65=115 divided by 2 =57.5 57.5*30H= 1725
calculate the number in the middle of -5 and 12
[tex]\bf \boxed{-5}\rule[0.35em]{5em}{0.25pt}0\rule[0.35em]{2em}{0.25pt}\stackrel{\stackrel{middle}{\downarrow }}{3.5}\rule[0.35em]{8.5em}{0.25pt}\boxed{12}[/tex]
If some one could help with this it would be awesome!!
Check the picture below.
What number divided by -3 gives 12 as the result?
A)-36
B)-4
C)4
D)36
Answer:
-36
Step-by-step explanation:
We don't need one, do we? It's just simple math.
An equation is formed of two equal expressions. The number which when divided by -3 gives 12 as the result is -36. The correct option is A.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number be represented by x.
Given that the number when divided by -3 gives 12 as the result. The given situation can be written in the form of an equation as,
x/-3 = 12
Solving the equation to get the value of x,
x/-3 = 12
x = 12 × -3
x = -36
Hence, the number which when divided by -3 gives 12 as the result is -36.
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