Answer:
9x – 5 y = -12
any point along this line
Step-by-step explanation:
9x – 5 y = -12
-9x + 5y = 12
Add the two equations
9x – 5 y = -12
-9x + 5y = 12
-------------------------
0x + 0y = 0
There are infinite solutions since the y are the same line
4. Marcella has 4 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for the number of boy cousins.
The expression for the number of boy cousins will be f – 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Marcella has 4 fewer male cousins than female cousins.
Let f represent the number of female cousins.
Then the expression for the number of boy cousins will be
⇒ f – 4
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which formula defines the sequence f(1)=2, f(2)=6, f(3)= 10, f(4)= 14,f(5)=18
The formula that defines the sequence is Tn = 4n - 2
Given the following sequence 2, 6, 10, 14, 18
From the sequence:
First-term a = 2
Common difference d = 6 - 2 = 10 - 6 = 4
Since there is a common difference, the sequence is an arithmetic sequence.
The nth term of the arithmetic sequence is expressed as:
[tex]T_n=a+(n-1)d[/tex]
Substitute the given data into the formula:
[tex]T_n=a+(n-1)d\\T_n=2+(n-1)(4)\\T_n=2+(4n-4)\\T_n=2+4n-4\\T_n=4n-2\\[/tex]
This shows that the formula that defines the sequence is Tn = 4n - 2
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3/5 es mayor que 9/10?
Answer:
Si es mayor
Step-by-step explanation:
Four friends race their bikes down the street. Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest?
Answer: Devon, Tasha, Liza, Effon
Step-by-step explanation:
From the question, we are informed that four friends race their bikes down the street and that Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds.
The order that shows the friends' times from fastest to slowest is:
• Devon
• Tasha
• Liza
• Effon
Devon used 6.0999 seconds which is the fastest time, after then Tasha comes next with 6.168 seconds, then Liza with 6.188 seconds and lastly Effon with 6.2 seconds
1. 2 3/5 - 1 1/4= A.) 1 7/20 B.) 1 2/9 C.) 1 5/20 D.) 1 1/10 3.) 5-3 1/3= A.) 2 B.)2 2/6 C.) 1 2/3 D.) 2 2/3
Solve by elimination.
5x - 6y = 27
7x + 6y = 9
Show work pls
Answer:
x = 3y = - 2Step-by-step explanation:
5x - 6y = 27 .......... Equation 1
7x + 6y = 9 ………… Equation 2
To solve using elimination add the second equation to the first one to eliminate y
That's
5x - 6y + 7x + 6y = 27 + 9
12x + 6y - 6y = 36
12x = 36
Divide both sides by 12
x = 3
Substitute it into any of the equations
Using equation 2
That's
7(3) + 6y = 9
21 + 6y = 9
6y = - 12
Divide both sides by 6
y = - 2
The solutions are
x = 3
y = - 2
Hope this helps you
1 Round 236 to the nearest ten. Which tens is 236 between? 236 is between and 236 is closer to than
Answer:
236 to the nearest ten is 240. 236 is between 230 and 240. 236 is closer to 240 than 230.
Step-by-step explanation:
I NEED HELP ASAPP!!!
Answer:
c
Step-by-step explanation:
[tex]x - 2y = -8 \\y = 5x-2[/tex]
[tex]x - 2 y = - 8[/tex]
add -x to both sides
[tex]x - 2y - x = -8 - x \\- 2y = -8 - x[/tex]
multiply both sides by -1/2
[tex]-2y * (\frac{-1}{2} ) = (-8-x) (\frac{-1}{2} )[/tex]
[tex]y = 4 + \frac{x}{2} \\y = \frac{x}{2} + 4[/tex]
the equations don't have the same slope so they aren't parallel
The solpes product doesn't equal -1 so they aren't perpendicular
Answer:
C. The two lines are neither parallel nor perpendicular
Step-by-step explanation:
Have a great day
Fill in the blanks to express the quantities given in ratio language. Ratios must be expressed in simplest form.
\text{Number of Votes Cast for Each Candidate:}
Number of Votes Cast for Each Candidate:
Candidate Votes
Candidate A 35
Candidate B 49
Candidate C 28
For every (blank)
votes cast for Candidate B, there were (blank )
votes cast for Candidate A.
Answer:
For every 7 votes cast for Candidate B, there were 5 votes cast for Candidate A.
Step-by-step explanation:
Given:
Candidate Votes
Candidate A 35
Candidate B 49
Candidate C 28
To find:
For every (blank) votes cast for Candidate B, there were (blank ) votes cast for Candidate A
Solution:
First we have to find the ratio of B and A
B : A
49 : 35
Now lets simplify the above ratio:
reduce the ratio using greatest common factor (GCF).
Use factorization method:
Write the numbers 35 and 49 as the product of their divisors.
The factors of 35 are: 1, 5, 7, 35
This means 35 is divided by 1, 5, 7 and 35 itself
The factors of 49 are: 1, 7, 49
This means 49 is divided by 1, 7 and 49 itself
Both have 7 common in them
Hence the greatest common factor is 7.
Next, divide both terms i.e. 35 and 49 by the greatest common factor, 7
49 / 7 = 7
35 / 7 = 5
The ratio 49 : 35 can be reduced to lowest terms by dividing both terms by the greatest common factor GCF = 7
So,
49 : 35 = 7 : 5
Hence
For every 7 votes cast for Candidate B, there were 5 votes cast for Candidate A.
The length of a rectangle is six times its width. If the perimeter of the rectangle is 140 yd, find its length and width.
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 60 \: yd}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10 \: yd}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle ( l ) = 6w
Perimeter of a rectangle ( P ) = 140 yd
Finding the width of a rectangle
[tex] \boxed{ \sf{perimeter \: of \: rectangle= 2(length + breadth)}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 2(6w + w)}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 2 \times 7w}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 14w}}[/tex]
[tex] \dashrightarrow{ \sf{14w = 140}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{14w}{14} = \frac{140}{14}}} [/tex]
[tex] \dashrightarrow{ \sf{w = 10}}[/tex]
Width of a rectangle = 10 yd
Now, replacing / substituting the value of w in 6w in order to find the length of a rectangle
[tex] \dashrightarrow{ \sf{length = 6 \times x = 6 \times 10 = 60 \: yd}}[/tex]
Length of a rectangle = 60 yd
Hope I helped!
Best regards! :D
What is the answer to 8(6-4n)=-27-7n
Answer:
8(6-4n) = -27-7n
8×6 8× -4n
48 -32n = -27-7n
Collect like terms
48+27 = -7n+32n
75 = 25
Divide both sides by 25
75/25 = 25/25
pls ansswer the below question
Answer:
7 and 3
Step-by-step explanation:
Numbers are x and y, where x > y
Half the difference = 2
(x - y)/2 = 2 ⇒ x - y = 4The sum of the greeter number and the twice the smaller number is 13
x + 2y = 13Considering x = y+4 in the second equation
y + 4 + 2y = 133y = 13 - 43y = 9y = 3Then
x = y + 4x = 3 + 4 = 7The numbers are 7 and 3
Answer:7 and 3
Step-by-step explanation:
X-y=2×2
X-y=4
2x+y=13
2x+y-x-y=9
2x-x+y-y=9
X=3
3-y=4
3+4=7
Y=7
X=3
Factor p2 + 18p + 32.
Answer:
the answer is ( p+2 ) (p+16)
HELP ME ASAP DUE IN 10 MIN
Answer:
oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..
The Lee family pays an instructor $50 for Joylin’s 40-minute drum lesson. How much does the instructor charge per minute for the lessons?
Answer:
The instructor charges 1.25 per minute
Step-by-step explanation:
Take the amount of money and divide by the number of minutes
$50 /40 minutes
5/4
1.25
The instructor charges 1.25 per minute
1. Compare the statement using >, <, or =
-|-5| |-10|
Answer:
1st one, A
Step-by-step explanation:
You rode your bicycle for 20 minutes and burned 180 calories. How many calories did you burn per minute?
180 calories / 20 mins = 9 calories / minute
Answer:
9 calories every minute
Step-by-step explanation:
180/20=9
Find the distance between (-2, 1), (-5,5)
Answer:
(-2, 1). (5,5) is 11.55
f(x)=8^x+7 what is f(3)
Answer:
Step-by-step explanation:
f(3) = 8^3 + 7 = 512 + 7 = 519
Does anyone know this?
Answer:
-124
Step-by-step explanation:
The equation for a discriminant is:
[tex]b^{2} -4ac[/tex]
So for
[tex]7x^{2} -4x +5=0[/tex]
a = 7 b = - 4 c = 5
Plug values into the equation.
[tex](-4)^{2} -4(7)(5)[/tex]
16 - 140 = -124
Answer:-124
Step-by-step explanation:
b^2 - 4ac
a = 7 b = -4 c = 5
-4^2 - 4*7*5
16 - 4*35
16 - 140
-124
how do you solve -9( -4r + 6s ) + 3s - 7(6s - 2r)
Answer: 2.1 Pull out like factors :
6s - 2r = -2 • (r - 3s)
Equation at the end of step
((0-(9•(6s-4r)))+3s)--14•(r-3s)
Pulling out like terms
4.1 Pull out like factors : 6s - 4r = -2 • (2r - 3s)
Equation at the end of step
((0--18•(2r-3s))+3s)--14•(r-3s)
Final result :
50r - 93s
Determine the truth value of the given conditional statement.
Given: If 3 is an even number, then 5 + 3 = 8.
O A true statement implies a true statement, so the conditional statement is true.
VX
O A true statement implies a false statement, so the conditional statement is true.
O A false statement implies a true statement, so the conditional statement is true.
O A false statement implies a true statement, so the conditional statement is false.
Intro
Done
Answer: 3 is not an even number and yes 5 +3 =8 so ur answer is A false statement implies a true statement, so the conditional statement is true.
Step-by-step explanation:
What two integers have the product of 28 and the sum of -11 ? a -2 and -14 b 4 and 7 c -4 and -7 d 2 and 14
Hey there! I'm happy to help!
Let's look at the factors of 28.
1,28
2,14
4,7
We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.
Have a wonderful day! :D
What is the solution to the system of linear equations?
-8x-7y=96
-3x+5y=-25
Enter your answer in the boxes
Answer:
[tex]x = -5[/tex]
[tex]y = -8[/tex]
Step-by-step explanation:
Given
[tex]-8x - 7y = 96[/tex]
[tex]-3x + 5y = -25[/tex]
Required
Determine x and y
Make y the subject of formula in the second equation
[tex]-3x + 5y = -25[/tex]
[tex]5y = 3x - 25[/tex]
[tex]y = \frac{3}{5}x - \frac{25}{5}[/tex]
[tex]y = \frac{3}{5}x - 5[/tex]
Substitute this value in the first equation
[tex]-8x - 7(\frac{3}{5}x - 5) = 96[/tex]
[tex]-8x - 7*\frac{3}{5}x + 7 * 5 = 96[/tex]
[tex]-8x - \frac{21}{5}x + 35 = 96[/tex]
Collect Like Terms
[tex]-8x - \frac{21}{5}x = 96 - 35[/tex]
[tex]\frac{-61}{5}x = 61[/tex]
[tex]x = 61 * \frac{-5}{61}[/tex]
[tex]x = -5[/tex]
Recall that
[tex]y = \frac{3}{5}x - 5[/tex]
This gives
[tex]y = \frac{3}{5} * -5 - 5[/tex]
[tex]y = -3 - 5[/tex]
[tex]y = -8[/tex]
What’s A third of a number 9
∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24. What is the value of x?
Answer:
x = 2Step-by-step explanation:
Vertical angles are equal as per definition.
∠E and ∠F are vertical anglesm∠E = 9x+12 and m∠F = 3x+24x = ?Solution
9x+12 = 3x+249x - 3x = 24 - 126x = 12x = 2Is 0.72 repeating irrational or rational?
rational
Step-by-step explanation:
p.72 repetition g is rational
The product of 8 and a number of x
Answer:
8(x+3)
Step-by-step explanation:
Which pair of transformations could map AABC to AA'B'C', such that the triangles are similar but
not congruent?
1.a rotation and a reflection
2.a rotation and a translation
3.a dilation and a rotation
4.a translation and a reflection
Answer:
a dilation and a rotation
Step-by-step explanation:i got it on my iready
pair of transformations could map AABC to AA'B'C', such that the triangles are similar but not congruent is dilation and a rotation
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
According to the information
The congruency can't be obtain after dilation.
Also, to make transformation rotation should be done.
Hence, the transformation occur due to dilation and a rotation,
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If m /_ 4 = 35 find m /_ 2. Explain.
Answer:
A
Step-by-step explanation:
2 and 4 are on opposite sides of the transversal but both on the inside of the parallel lines. This makes them alternate interior angles, which are congruent.
