Answer:
The answer is C.4/7
Step-by-step explanation:
First of all, parallel lines have the same gradient (slope), so if you find the slope for line A this will be the same slope as the line parallel to it (line A).
Step 1: find any two points from line A.point 1: (0,4) Where, [tex]x_{1} =0[/tex] and [tex]y_{1}=4[/tex]
point2: (-7,0) Where, [tex]x_{2} =-7[/tex] and [tex]y_{2} =0[/tex]
Step2: write the formula of the slope:[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Step3: substitute the numbers in the formula:[tex]m=\frac{0-4}{-7-0}[/tex]
Step4: simplify the formula to get the answer to the slope:[tex]m=\frac{-4}{-7}[/tex]
[tex]=\frac{4}{7}[/tex]
So the answer is:C. 4/7
(note: this is the slope of line A and any line parallel to line A)
Find the solution of the system of equations -7x-3y=-20 3x+6y=-15
9514 1404 393
Answer:
(5, -5)
Step-by-step explanation:
I like a graphing calculator for quickly finding a solution to a system of equations. It shows the solution to be (5, -5).
__
We can add the second equation to 2 times the first to eliminate the y-variable.
2(-7x -3y) +(3x +6y) = 2(-20) +(-15)
-11x = -55 . . . . . collect terms
x = 5 . . . . . . . . . divide by -11
Substituting this value into the second equation, we have ...
3(5) +6y = -15
6y = -30 . . . . . . . . subtract 15
y = -5 . . . . . . . . . . divide by 6
The solution is (x, y) = (5, -5).
Tell me what is the equation for equation 1 and 2
Answer:
2x+3y=12$
3x+2y=19$
Hope it helps
rafael took 4 pumpkin pies to a family gatherig if he divides each pie into six equal-sized sliced how many slices can he serve
IS THIS A LINEAR FUNCTION? YES OR NO
PLEASE HURRY Question 2(Multiple Choice Worth 1 points)
(07.01 LC)
What is the value of x in the equation -6 + x = -4?
0-10
O
-2
O2
O 10
HELP PLZ there are no answer choices plz
please help me someone with this problem
Which relation is a function?
{(5, 0), (–8, –5), (–8, 5), (–5, –8)}
{(5, 0), (0, 5), (–5, –5)}
{(5, 0), (0, –8), (5, –5)}
{5, 0, –8, –5}
Serenity invested $3,100 in an account paying an interest rate of 2.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?
Answer:
$4179
Step-by-step explanation:
3,100*.029= 89.9
89.9*12=1,078.80
3,100+1,078.80=4,178.80
4,178.80 rounded to the nearest dollar= 4179
The amount of money in the account after 12 years would be $4,371.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:
A = P[tex]e^{rt}[/tex]
where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.
In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.
Plugging these values into the formula, we get:
A = $3,100 × [tex]e^{0.029 \times 12)[/tex]
A = $3,100 × [tex]e^{0.348}[/tex]
A = $3,100 × 1.41
A = $4,371
Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.
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The angle of a triangle are in the ratio 3:7:8. Find the angles.
Answer:
30°, 70°, 80°
Step-by-step explanation:
Let the measures of the angles be 3x, 7x and 8x.
Since, sum of the measures of all the three angles of a triangle is 180°.
Therefore,.
3x + 7x + 8x = 180°
18x = 180°
x = 180°/18
x = 10°
3x = 3*10° = 30°
7x = 7*10° = 70°
8x = 8*10° = 80°
Thus, the measures of the angles are 30°, 70°, 80°.
A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this year is $9,400. How much did the car cost 2 years ago?
Answer:
The answer is 11,374
Step-by-step explanation:
First we find 5% of 9,400 is.
9,400 * 5% = 470
Next we add 9,400 with 470 then multiply by 20%
9,400 + 470 = 9,870
9,870 * 20% = 1974
Next we add.
9,870 + 1,974 = 11,374
So, the answer is 11,374
Hope this helps! :)
A
Use the drop-down menus to identify the parts of the
coordinate plane
Line A is the
В
Region BIS
Point C is the originy
Line D is the
Answer:
Line A is the : ✔ y-axis
Region B is: ✔ a quadrant
Point C is the: ✔origin
Line D is the: ✔ x-axis
Step-by-step explanation:
Did it on Edgen
For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
What is a coordinate plane?A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.
The intersection of these lines is known as the origin.
The diagram of the coordinate plane can be analysed as,
(a) Line A is the vertical perpendicular line.
It can be called as y-axis.
(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.
It is known as the first quadrant.
(c) Point C lies at the intersection of two lines perpendicular to each other.
It can be said the origin.
(d) Line D is the horizontal line.
It can be called as x-axis.
Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
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The missing diagram is attached here.
Help me asp please I need this answer within 5mins
Kristen bought a skirt for $25 and tennis shoes for $60. There was 7% tax charged on the total. How much is the total purchase price after tax?
Answer:
$90.95
Step-by-step explanation:
$25+$60=$85
$85x0.07=$5.95
$85+$5.95=$90.95
Answer: $90.95
60+25= 85
85*.07= 5.95
85+5.95= 90.95
What is the value of X?
Answer: x=1
Step-by-step explanation:
In any parallelogram, the two diagonal bisects each other. (For visual, please look at the attachment below)
-----------------------------------------------------------------------------------------
Given
6x=5x+1 (They are the two segments of one diagonal. Since they are
bisected, they are equal)
Subtract 5x on both sides
6x-5x=5x+1-5x
x=1
Hope this helps!! :)
Please let me know if you have any questions
[-1+(2²-5×6)]÷(-5+2)+1
Answer is 10
Step-by-step explanation:
Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2
Answer:
y = 4x - 2 would be the equation
What do you notice about the graph when it passess through a root of even multiplicity?
A whole number is written on a piece of paper.
You are given three clues to help you work out the number written on the piece
of paper.
Clue 1: Triple the number is between 18 and 33 inclusive.
Clue 2: The number is a prime number.
Clue 3: The number is not a factor of 99.
Use each of the clues above to refine your search.
Enter the list of numbers obtained after each clue to finally find the number
written on the piece of paper.
[3]
Answer:
1)6,7,8,9,10,11
2)7,11
3)7
The whole number is 7.
What is whole number?The group of natural numbers that includes the number 0 is known as whole numbers. The mathematical set of whole numbers is 0 through 9 and is represented by the letter W.
W = {0, 1, 2, 3, 4, …}
To better grasp whole numbers, consider the following information:
Whole numbers make up all natural numbers.There are only full numbers while counting.Zero and all positive integers are whole numbers.Real numbers are all entire numbers.Given:
Triple the number is between 18 and 33 inclusive.
Then the number can be
3x6 = 18
3 x 7= 21
3 x 8= 24
3 x 9= 27
3 x 10= 30
3 x 11=33
Numbers are 6, 7, 8, 9, 10, 11
2. Number is a prime number
The prime numbers are 7 and 11.
3. Number is not a factor of 99
The number is 7 because 11 is factor of 99.
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20 divided by c write an algebraic expression for the word expression
Step-by-step explanation:
The algebraic expression is
20
----
c
or
20/c
A dance club had 160 members. There was a membership increase of 5%. How many new person's joined the club.
What is the solution to
-10 = 5(2x – 4)
Answer:
3=x
Step-by-step explanation:
multiply 5 times 2x and 4 which is 10x-20
then you have -10=10x-20
then add 20 to both aides and you'll have
30=10x then divide by 10 to get x alone
and you have
3=x
Select all expressions that show x increased by 15%. A. 1.15x B. x+15/100x C.15/100x D. (1+0.15)x E.(100+15)x
HELP NOW
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
"x increased by 15%" means "x plus 15% of x".
This can be written several ways.
x + 15%x . . . . . . a direct translation
x + 15/100x . . . . matches choice B
x +0.15x . . . . . . with the percentage as a decimal
(1 +0.15)x . . . . . . matches choice D
1.15x . . . . . . . . . . matches choice A
_____
Additional comment
It can be helpful to remember that % is a shorthand way to write /100. That is ...
15% = 15/100
It can also be helpful to remember place value:
15/100 = "fifteen hundredths" = 0.15
Han states that (b+6) has one factor. Explain why Han's thinking is correct.
1.The hidden factor of one does not count in the reporting.
2.The number 6 is the only number in the expression.
3.Anything in parentheses are considered factors.
4.If there is more than one term, then there is only one factor.
Answer:
2
Step-by-step explanation:
6 is not a factor only terms count as factors
The number 6 is the only number in the expression. Then the correct option is 2.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ (b + 6)
The number 6 is a factor only terms count as factors because the variable b is the multiple of 6.
The number 6 is the only number in the expression. Then the correct option is 2.
More about the factorization link is given below.
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Jo sold 132 mugs. One quarter of the mugs were small. The rest were large. How many small mugs did Jo sell? * 1 point
Answer:
33 small mugs
Step-by-step explanation:
Given:
Total number of mugs sold by Jo = 132
One quarter of the mugs were small. The rest were large.
To find: Number of small mugs sold by Jo
Solution:
Number of small mugs sold by Jo = [tex]\frac{1}{4}[/tex] (Total number of mugs sold by Jo)
Therefore,
Number of small mugs sold by Jo [tex]=\frac{1}{4}(132)=33[/tex]
6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Answer:
452.448in² options D
Step-by-step explanation:
A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Given data
D=24 inches
Radius =d/2= 24/2= 12 inches
Area A
A=πr²
Substitute
A=3.142*12²
A=3.142*144
A=452.448in²
It’s so early my mind can’t comprehend basic math, what does this mean.
Answer:
Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8
Erin is flying a kite. Originally, she holds the string in her hands, about 4 feet above the ground. She lets out 29 feet of string and estimates the height of the kite to be 24 feet above the ground. She then lets out another 60 feet of string. Approximately how high is the kite currently above the ground?
Answers are
65 feet
50 feet
84 feet
70 feet
Which is it
Answer:
84 maybe
Step-by-step explanation:
Writh an equation of a line in slope-intercept form for the given conditions.
slope =2 and passes through (-5,2)
y=
Answer:
y=2x+12
Step-by-step explanation:
y-2=2(x-(-5))
y-2=2(x+5)
y-2=2x+10
y=2x+12
Can somebody plz help solve each questions for what it equals correclty thanks so much :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!:DD