Answer:
A.) Both lines pass through the point represented by the ordered pair
Step-by-step explanation:
Both lines pass through the point represented by the ordered pair.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
An ordered pair is a solution of a system of linear equations by examining the graphs of the equations.
We know that;
An ordered pair is a solution of a system of linear equations when both the lines are passing through the same ordered pair.
Hence, We get the correct sentence is,
''Both lines pass through the point represented by the ordered pair.''
Learn more about the equation of line visit:
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which equation represents the function?
Answer:
[tex]y = \frac{5}{3}x +9[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First: We calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex](x_2,y_2) = (0,9)[/tex]
The slope becomes:
[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]
[tex]m = \frac{9+1}{0+6}[/tex]
[tex]m = \frac{10}{6}[/tex]
[tex]m = \frac{5}{3}[/tex]
The equation is then calculated as:
[tex]y - y_2 = m(x-x_2)[/tex]
So, we have:
[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]
[tex]y - 9 = \frac{5}{3}x[/tex]
Make y the subject
[tex]y = \frac{5}{3}x +9[/tex]
Michael buys a dozen donuts for his friends for $6 what is the unit rate
Answer:
6 dollars per dozen
Step-by-step explanation:
This is a fraction equal to
6 dollars ÷ 1 dozen
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
6 dollars ÷ 1
1 dozen ÷ 1
=
6 dollars
1 dozen
=
6 dollars
dozen
= 6 dollars per dozen
Solve the system by substitution.
-5x+3y=2
Y=2x
Answer:
2 is the required answer.
Step-by-step explanation:
Solution:
Given:
-5x+3y=2..............(i)
Putting the value of y=2x in the equation (i); we get:
i.e -5x+3×2x=2
or, -5x+6x=2
or, x=2
i.e. x=2
y=2x=2×2=4
Pls help! Will mark first correct answer brainliest
Answer:
1.25, 40
1.6, 30
Step-by-step explanation:
First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.
We write the equations: A + B = 70, (This is the lbs)
and, 1.25A + 1.6B = 1.4(70) (This is money)
Next, choose an equation you want to solve for, in this case, I'll choose A.
In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A
Now substitute this equation into the money equation.
1.25A + 1.6(70 - A) = 98
1.25A + 112 - 1.6A = 98
-0.35A = -14
multiply by negative
0.35A = 14
divide
A = 40
Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!
Write an equation for the nth term of
the arithmetic sequence:
15,28,41 ....
Answer:
The equation for the nth term of the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]
Where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:
[tex]a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13[/tex]
So, the common difference d is 13
Now, equation for nth term will be:
[tex]a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2[/tex]
So, the equation for the nth term of the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]
where n=1,2,3..
Express 2700 as a product of prime numbers.
Answer:
9669
Step-by-step explanation:
69
Question 10
2 points
Save Answer
Donald, owner of Dallas Company, begin accounting for bad debts expense. Assume that Dallas Company has total revenues of $79,000 during 2019 and the Accounts Receivable balance on
December 31 2019. is $42.000
Assume that Dallas Company has one account receivable of $4,850 determined to be uncollectable, what journal entry is made to write of the uncollectable account?
Answer:
Allowance for doubtful account Dr 4850 , To Account receivable Cr 4850
Step-by-step explanation:
Journal Entry Debit Credit
Allowance for doubtful account $4850
To Account receivable $4850
A debit to the allowance for doubtful accounts is to reduce the allowance balance that was previously established and a credit to the accounts receivable is to remove the amount that will not be collected.
A pack of six cans of coffee cost $12. How much would 19 cans ofcoffee cost?
can someone plz help me witt this??
Answer:
23
Step-by-step explanation:
sythenic division hard asab
I GIVEEEEE BRAINLILST
I NEED HELPPPP
:):):):):):):):):):):):)):):):):):):):)
1. Hannah added 5 marbles to her bag of marbles as shown in the model below.Create an equation using the model shown ( remember to use a variable for the unknown quantity). Explain the first step needed in order to solve your equation. How many marbles (m) did Hannah originally have in her bag?
Answer: Poop man
Step-by-step explanation: You throw your poop
ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6
Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]
Result: [tex]\dfrac{17}{2}[/tex]
Step-by-step explanation:
Given phrase: [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]
Required expression: [tex]\dfrac14\times(18+16)[/tex] ['+' used to express sum, 'x' used in place of 'of']
Since 18+16 = 34
Then,
[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]
Hence, [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]
Y=2x+3
Y=-3x+3
X=? Y=?
taking
Y=2x+3____(1)
Y=-3x+3____(2)
making take equation 1 and equate to 2 since y=2x+3
2x+3=-3x + 3
bringing together like terms2x+3x=3-3
5x=0 so
x=0substitute x=0 in equation(2)
y=-3(0)+3
y=3
pls help!
15 boxes of apples weighs 840 pounds. If the weight of the apples is proportional to the number of boxes then how many pounds does 28 boxes weigh?
Answer:
4,704 pounds
Step-by-step explanation:
make a ratio
boxes of apples:pounds
15:840
28:x
cross multiply:
15x = 23520
x = 4,704
hope this helps!
x is 4 more than
thrice of y
Answer:
x is 4 more than thrice of y[tex] \huge \boxed{x = 3y + 4}[/tex]
Write the expression with fewer terms.
10−2
Answer:
8
Step-by-step explanation:
（10-2 is 8)
Hope this helps!
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
A
50%
B
60%
с
20%
D
25%
Answer:
с ) 20%
Step-by-step explanation:
There are 5 orange candies, and 25 total candies to choose from. If you only want to pick the orange candies, then the probability would be 5/25, or 1/5.
1/5, in percentage, is 20%.
Find x, y, and z.
10.
Z
Х
5
7
Answer: =10
Step-by-step explanation:
Find the coordinates of point B
Read the problem and examine the diagram.
Of all the students in the school band, 6 play the trumpet. They represent 10% of the
total number of students in the band. How many students are in the band?
Which choice is NOT a correct way to check your answer?
A. The answer should be 10% of 6.
B. The answer multiplied by 10% should be 6.
C. 10% of the answer should be 6.
D. 6 should be 10% of the answer.
Answer:
Option A: The answer should be 10% of 6 is the correct answer.
Step-by-step explanation:
Given that:
6 students play trumpet. As they represent 10% of the total students.
Let,
x represent the number of students in the band.
10% of x = 6
By solving this, we will get the value for number of students in the band.
As x will be our answer,
The choices B, C and D are correct in the given scenario.
However,
10% of 6 cannot be the solution to the problem.
Hence,
Option A: The answer should be 10% of 6 is the correct answer.
Find the solution to each number sentence below:
(1) - 10 + 15 = _______
(2) 28 + (-29) = _______
(3) -40.5 + (-0.5) = ______
(4) 50 - (- 5) = ______ (5) 100 - 255 = ______
(Hint: take away a negative means adding the opposite)
Answer:
1. 5
2. -1
3.-41
4. 55
5.-155
Step-by-step explanation:
Answer:
1) 5
2) -1
3) - 41
4) 55
5) -155
HELP ASAP Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Step-by-step explanation:
To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.
Let f(x) = 5x +1.
Find f(2)
Answer:
f(2) =11
Step-by-step explanation:
Explanation:-
Given the function f(x) = 5x+1
Put x = 2
f(2) = 5(2)+1
⇒ f(2) = 10 +1
⇒ f(2) =11
You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
А 1/5
B 1/6
С 1/8
D 5/24
Answer:
A. 1/5
Step-by-step explanation:
The chances of drawing another orange would be 20%. And since means 1/5 in fraction form, A. is the answer.
5x5x5x5x5x5=... plz answer
Answer: 15,625
Step-by-step explanation: 5x5x5x5x5x5= 15,625
Write an algebraic expression for
the verbal expression:
"5 times the sum of a squared and
b minus 3 times the sum of
a and b".
Answer:
"5 times the sum of a squared and b minus 3 times the sum of
a and b".
5(a²+b) - 5(a+b)which can be simplified such as:
[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]
Step-by-step explanation:
Given the verbal expression
"5 times the sum of a squared and b minus 3 times the sum of
a and b".
BREAKIN DOWN THE STATEMENT:
The sum of 'a' Squared and 'b' = a²+b
5 times the sum of a squared and b = 5(a²+b)The sum of a and b = a+b
3 times the sum of a and b = 5(a+b)Now, "5 times the sum of a squared and b minus 3 times the sum of
a and b".
5(a²+b) - 5(a+b)Let us simplify the algebraic expression
[tex]5\left(a^2+b\right)-5\left(a+b\right)[/tex]
[tex]=5a^2+5b-5a-5b[/tex]
simplify
[tex]=5a^2-5a[/tex]
Thus,
[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]
According to the stem and leaf plot above, how many students scored grades lower than $60
Answer:
7
Step-by-step explanation:
21,30,39,39,47,47,48.
basically 6|2 means 62 same with the others.
HOpe this helps plz hit the crown :D
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?
Answer:
3/18
Step-by-step explanation:
Answer:
18:3
Step-by-step explanation:
acorns go first then squirrels cause the question says acorns TO squirrels
Plot 5 in the complex plane.
answer is there a photo or something we can see
Step-by-step explanation:
because just saying plot 5 doesn't make sense so we probably need a photo or more information
a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?
Answer:
72
i think i remember doing this