Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2y - 4x + 8 = 0 ( subtract - 4x + 8 from both sides )
2y = 4x - 8 ( divide all terms by 2 )
y = 2x - 4 ← in slope- intercept form
with slope m = 2
the ratio of boys to girls is 5:4. there are 64 girls in choir. how many boys are in choir?
1. 48
2.61
3.75
4.80
PLEASE ANSWER FAST!!! <3 ( only reply if you know the answer x_x)
Answer:
boy:girls
5:4
64/4= 16
5 X 16 =80
there are 80 boys
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
What is the equation of the line that is parallel
to the line y = 2x - 1 and passes through the
point (2, 7)?
Answer:
y= 2x + 3
Step-by-step explanation:
To have a parallel line they need to have the same slope.
Then you need to plot the point (2,7).
A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).
y= (slope) + y-intercept
Answer:
y = 2x + 3
Step-by-step explanation:
1. Approach
The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.
2. Slope
As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.
3. y-intercpet
Substitute in the point that is given, and solve for the y-intercept.
y = mx + b
y = 2x + b
7 = 2(2) + b
7 = 4 + b
3 = b
4. Assembling what one knows
The equation of the line is;
y = 2x + 3
Were 2 is the slope, and 3 is the y-intercept.
Convert 0.55555 into a fraction
Answer:
11111/20000
Step-by-step explanation:
To convert the decimal 0.55555 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.55555 = 0.555551
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 5 numbers after the decimal point, we multiply both numerator and denominator by 100000. So,
0.555551 = (0.55555 × 100000)(1 × 100000) = 55555100000.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(55555,100000) = 5. So,
(55555÷5)(100000÷5) = 1111120000 when reduced to the simplest form.
The value of the fraction is A = ( 11111 / 20000 )
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the value of A is
Let the decimal number be represented as D
Now , the value of D = 0.55555
Multiply the number D by 100000 on both the numerator and denominator
And , the fraction is A = D x 100000 / 100000
A = 55555/100000
Divide by 5 on both the numerator and the denominator , we get
A = ( 11111 / 20000 )
Hence , the fraction is A = ( 11111 / 20000 )
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Given a system of two equations in Two variable, replacing one equation by the sum of that equation and multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. Use addition property of equality and multiplication property of equally in your answers.
1. To solve the system using elimination, First multiply the bottom equation by two. Write the new system of equations.
5x+2y=7
2. Why is this multiplication allowed?
3. What variable will be eliminated when the equations are combined after the multiplication?
4. Next, add the equations tighter. Your answer should be a single equation with one variable.
5. Why can you add the equations
6. Solve the equations for x
7. Substitute x back into one of the equations solve for y
8. What is the solution to the system of the equations?
Please I need this in 24 hours
Answer:
5x + 2y = 7
3x � y = 2
multiply the second equation by 2 and leave the first equation as is to get:
5x + 2y = 7
6x � 2y = 4
add the second equation to the first equation to get:
11x = 11
divide both sides of that equation by 11 to get:
x = 1
replace x with 11 in the first original equation to get:
5x + 2y = 7 becomes 5 + 2y = 7
solve for y to get y = 1
your solution is x = 1 and y = 1
confirm by replacing x and y with 1 and 1 in both original equations to get:
5x + 2y = 7 becomes 5 + 2 = 7 which is true.
3x � y = 2 becomes 3 - 1 = 2 which is true.
Step-by-step explanation:
Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.
5x + 2y = 7
3x � y = 2
A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.
B1. Why is this multiplication allowed?
C1. What variable will be eliminated when the equations are combined after the multiplication?
D1. Next, add the equations together. Your answer should be a single equation with one variable.
E1. Why can you add the equations?
F1. Solve the equation for x.
G1. Substitute x back into one of the equations to solve for y.
H1. What is the solution to the system of equations?
I hope this helps! ο(=•ω<=)ρ⌒☆To amend a country's constitution 7/9 of the 69 states in that country must approve the amendment. If 52 states approve an amendment will the constitution be amended
Answer:
Constitution will not be amended.
Step-by-step explanation:
To amend the country's constitution, number of states should approve the amendment = [tex]\frac{7}{9}[/tex] of 69
= [tex]\frac{7}{9}\times 69[/tex]
= 53.67
≈ 53 states
But the states who approved the amendment = 52
And 52 < 53
Therefore, constitution will not be amended.
Chris ran 23.7 miles less than Laura last week. Chris ran 8.3 miles. How man miles did Laura run?
Answer:
32
Step-by-step explanation:
8.3+23.7=32
Hope this helps :)
Answer:
Laura ran 32 miles.
Step-by-step explanation:
8.3 miles + 23.7 miles
= 32 miles
Solve for x
PLS HURRY
Answer:
C.....................m
⚠️⚠️use the parallel lines that were given to find the answers ⚠️⚠️
!!!!hurry!!!!
~ILL GIVE 15 BRAINLY~
Answer:
18. 56
19. 132
20. 55
21. 120
22. 129.5
23. 61.3
Step-by-step explanation:
First look at the lines arrangment
angle 1+angle 5=180 and according to corresponing angles theorem angle 5 and angle 2 are equivalent. Angle 1+4=180
180-124=56
Angle 2+3=180
180-48=132
According to corresponding angles
angle 4=angle 7 and angle 7=angle 2 meaning angle 4=5
so angle 5=2
Like everything opposite to each other is conr=gruent
angle 8=angle 1 and angle 1=angle 6
means both angle 6 and 8 are congruent.
LOOK angle 7+3=180 means angle 2+6=180
so if ANGLE 7=50.5
6=3
180-50.5=129.5
23. angle 6 and 3 are congruent and as you know angle 7+3=180 and angle 2+6=180
angle 3+angle 6=180
180-118.7=61.3
18. Measure of angle 1=124 then angle 4=56
19.Angle 2= 48 then angle 3=132
20.Angle 4=55 then angle 2=55
21. angle 6=120 then angle 8=120
22.angle 7=50.5 then angle 6=129.5
23.angle 3=118.7 then angle 2=61.3
Hope this helps!!
It's mostly corresponding angles and theorems rules.
PLEASE HELP I NEED THE ANSWER QUICK!!!
What is the Length/ value of N
Answer:
n = 104
Step-by-step explanation:
Answer:
n = 104
Step-by-step explanation:
solve for x it is a parallelogram please help i'll give.l brainliest if right
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.Tanisha baked an apple pie. She ate 1/6
of the pie. Her sister ate 1/4
of it. Tanisha gave her mother the rest of the pie. What fraction of the pie did Tanish give her mother?
A. 5/12
B. 2/3
C. 7/12
D. 11/12
Answer:
A.5/12
Step-by-step explanation:
Answer:5/12
Step-by-step explanation:
Please can you help me do this it’s due January 7th today it’s 7th grade math
Answer:
I think it might be e=5h someone please correct me if I'm wrong
Step-by-step explanation:
Answer:
e = 5h
Step-by-step explanation:
To find the unit rate (money earned per hour), we divide 10 by 2, which gets us 5. That means $5 is earned per house. If h is the number of houses shoveled, and he earns $5 per house, we can write that as 5h. If e is the money earned, we can write this whole thing as e = 5h.
Please HELP
what is the slope-intercept equation slope: -2 y-intercept: 3
Answer:
y=-2x+3
Step-by-step explanation:
In a y=mx+b equation, M is the slope and B is the y intercept. So write down that equation and plug in the numbers you're given
PLEASE HELP ME FAST I NEED THE SOLUTION REALLY QUICK
Answer:
WHERE IS THE QUESTION
Step-by-step explanation:
Please help need answer
Nicole has $35.80 and spends $5.92 on a book. She puts half of the remaining money in her bank.
How much money does Nicole put in her bank?
$11.98
$14.94
$17.90
$29.88
Answer: 14.94
Step-by-step explanation:
35.80 - 5.92 = 29.88
29.88 divided by 2 gives you
14.94
Answer:
$14.94
Step-by-step explanation:
35.80-5.92=29.88
29.88/2=14.94
TRUE OR FALSE:
7x - 9 = (7x - 1)(9)
Answer:
false
Step-by-step explanation:
7x-9=(7x-1)(9)
7x-9=63x-9
so, the LHS is not equal to RHS.
If a wagon train traveled 12.5 miles each day, how many days would it take
them to get to Independence Rock which is 900 miles from their starting
point?
Answer:
8 to 20 miles
The covered wagon made 8 to 20 miles per day depending upon weather, roadway conditions and the health of the travelers. It could take up to six months or longer to reach their destination.
Step-by-step explanation:
4+1/4 x + 3 = 10 pls help me
Answer:
= 1 2
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add the numbers
Subtract 7 from both sides of the equation then Simplify
Find the value of c x 8 when c=9.
Answer:
72 hope it helps............
Answer:
72
is you answer because 8×9=72
Please help me on this, all help will be appreciated
Ryan buys a baseball bat. The original price is $20. Ryan has a coupon for a 20% discount. What is the sale price?
Answer:
here is how you do it
Step-by-step explanation:
first you must solve 1% of 20 which is .2
then you solve for 10% which is 2
then you double it which is 4
so you would take 4 dollars of the original price
the cost is $16
Pls Help need it asap
which triangle is similar to an equilateral triangle with side lengths of 5.2 cm
a. a right triangle with a perimeter of 15.6 cm
b. a equilateral triangle with a perimeter of 10 feet
c. any triangle with a perimeter of 15.6 cm
d. an isosceles triangle where two of the side are 5.2 cm
Answer:
B.
Step-by-step explanation:
Two figures are said to be similar if they are the same shape. In more mathematical terms, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Given mn, find the value of x.
+
(x-3)
(8x+3)
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
ASAP help please anyone please help
Answer:
x= 9.89
y= 7
Step-by-step explanation:
..........
Answer:
Step-by-step explanation:
Hi again Iana... I knew somebody in HS with that name.. but anyway... b/c this is a isosceles triangle again... we know right away that y =7
y=7
and that x .. the hypontanuse can be found with Pythorgas c^2 = a^2 + b^2
c = sqrt(7^2 + 7^2)
c = sqrt(49+49)
c =sqrt(98)
c = 9.8994949
x= 9.899
What is the quotient of the fractions below?
1/3 divided by 5/8
Work Shown:
x = (1/3) divided by (5/8)
x = (1/3) * (8/5)
x = (1*8)/(3*5)
x = 8/15
Answer:
x = 8/15
Step-by-step explanation:
YES
What is the last digit of 2¹³?
Answer:
2
Step-by-step explanation:
2^13= 8192 and the last digit is 2.
The number 1-50 are placed in a bag. What is the probability of selecting:
A) a number greater than 50______
B) multiple of 5________
C) a prime number _________
D) a composite number_______
A: 0
B: 10/50
C: 15/50
D: 34/50
Answers:
A) 0B) 1/5 = 0.2C) 3/10 = 0.3D) 17/25 = 0.68Nearly all of those answers involve a fraction form and an equivalent decimal form.
===========================================
Work Shown:
Part A
The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0
----------------------------
Part B
List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}
Note how 50/5 = 10, which shows there are 10 multiples listed above.
We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2
----------------------------
Part C
The prime numbers between 1 and 50 are:
{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}
There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3
----------------------------
Part D
There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.
We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68
Write x^2-8x+22 in the form (x-a)^2 +b
Answer:
[tex] {(x - 4)}^{2} + 6[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]
The completed square form of x² - 8x + 22 = 0 is (x - 4)² = - 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, a quadratic equation x² - 8x + 22 = 0.
We know (a - b)² = a² - 2ab + b².
∴ x² - 8x + 22 = 0 is
(x)² -2(x)(4) + 4² + 6 = 0.
(x - 4)² = - 6.
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