Answer:
x = 4
Step-by-step explanation:
Cancel common factor of 9,
(x/5)=(4/5)
Multiply both sides by 5,
(5x/5)=(20/5)
Simplify to get x = 4
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.
QUICK! 10 points!
Which of the following lists is in order from least to greatest?
√5, 4, 3^2, -2
-2, √5, 4, 3^2
-2, 3^2, 4, √5
-2, 4, 3^2, √5
Seven is not an example of _____. A) an expression B) a term C) a variable D) a constant
Answer:
Seven is not an example of variable bcz variable are the letters like x,y and z.
Step-by-step explanation:
hope it help ^_^
seven is not an example of a variable.
The correct answer is an option (C).
What is a constant?"A quantity that has a fixed numerical value."
What is variable?"A letter or symbol whose value may changes."
What is an expression?"It is a mathematical statement which consists of constant, variable and some mathematical operations"
What are terms?"These are the values on which the mathematical operations take place in an expression.""It can be a constant or a variable or both"For given question,
Seven is not an example of a variable.
Seven is fixed number, it's value cannot be changed.
Seven is an example of a constant.
Also, it is an example of a term and an expression.
Therefore, seven is not an example of a variable.
The correct answer is an option (C).
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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
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
The both that are not in green I don't know how to do them . I need some help.
Answer:
Step-by-step explanation:
B. 0.00604
D.1.47 ×[tex]10^{-3}[/tex]
How many lines of symmetry does the shape have?
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
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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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
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
can 152,973 be divided evenly by 9
Answer:
16997
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
The product of 8 and a number of x
Answer:
8(x+3)
Step-by-step explanation:
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:
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
3/5 es mayor que 9/10?
Answer:
Si es mayor
Step-by-step explanation:
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
Is 0.72 repeating irrational or rational?
rational
Step-by-step explanation:
p.72 repetition g is rational
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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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]
If P(-9, -4), Q(-7, -1), R(-2, 5), S(-6, -1) are the coordinates of the points, what is the slope of line PQ?
Given :
P(-9, -4), Q(-7, -1), R(-2, 5), S(-6, -1).
To Find :
The slope of line PQ.
Solution :
We know , slope is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{-9-(-7)}{-4-(-1)}\\\\m=\dfrac{2}{3}[/tex]
Therefore, the slope of line PQ is 2/3.
Hence, this is the required solution.
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:
If you reflect a point from quadrant IV over the x axis, where will the
new point be located. *
Answer:
Quadrant I
Step-by-step explanation:
Quadrant IV (bottom right corner) reflects over the x axis into the top right corner or Quadrant I
What’s A third of a number 9
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
HELP ASAP!!!! PLEASEEEEEEEEE g=1/2p-60/3
Answer: g=p/2-20
Step-by-step explanation:
1. Compare the statement using >, <, or =
-|-5| |-10|
Answer:
1st one, A
Step-by-step explanation:
∠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 = 2f(x)=8^x+7 what is f(3)
Answer:
Step-by-step explanation:
f(3) = 8^3 + 7 = 512 + 7 = 519
