Answer: 5% of 500 is 1
Step-by-step explanation:
Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.
Answer:
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
Step-by-step explanation:
Standard form of equation is given as:
[tex]Ax+By = C[/tex]
1. x – intercept is 4 and y – intercept is 3.
The points will be:
(4,0) and (0,3)
Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]
Slope intercept form of line is:
[tex]y = mx+b[/tex]
Putting the values of m and b(y-intercept)
[tex]y = -\frac{3}{4}x+3[/tex]
Multiplying whole equation by 4
[tex]4y = -3x+12\\3x+4y = 12[/tex]
2. x – intercept is -2 and y – intercept is 5
The points will be:
(-2,0) and (0,5)
Now
[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]
Putting the values of m and b in slope intercept form
[tex]y = \frac{5}{2}x+5[/tex]
Multiplying the equation by 2
[tex]2y = 5x+10[/tex]
[tex]-5x+2y=10[/tex]
Hence,
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
A math test has two parts. Both parts have the same number of questions. Rachael answered 2/3 of the questions correctly in the first part of the test, but she only answered 1/2 of the questions correctly in the second part of the test. Overall, she answered 21 questions correctly. What is the total number of questions on the test?
Answer:
Step-by-step explanation:
21=1/2 so if thats 21 the answer would be 2/3=34
The sum of three numbers is 107. The second number is 7 less than the first. The third number is 3 times the second. What are the numbers?
Answer:
27, 20, 60
Step-by-step explanation:
We use the equation
(x) + (x - 7) + (3 * (x - 7)) = 107
= x + x - 7 + 3 * (x - 7) = 107
= 2x - 7 + 3(x - 7) = 107
Add 7 on both sides
= 2x + 3(x - 7) = 114
Expand the 3
= 2x + 3x - 21 = 114
= 5x - 21 = 114
Add 21 on both sides
= 5x = 135
Divide 5 on both sides
= 5x/5 = 135/5
= x = 27
Plug the functions in
(27) + (27 - 7) + (3 * (27-7)) = 107
You would get
27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60
the following chart shows the number of rows in an auditorium and the total number number of seats. what equation defines the number of seats with respect to the number of rows?
a. s=20r+100
b. s=40r+120
c. s=20r+60
d. s=20r
Answer:
The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.
The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.
Given that;
The chart shows the number of rows in an auditorium and the total number of seats.
Since, The equation is satisfy the given numbers in chart.
So, Let an equation for chart;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Now, Substitute the value of r = 20 for the number of first rows in above equation we get;
s = 20 × 20 + 60
s = 400 + 60
s = 460
And, For second row, r = 45
s = 20 × 45 + 60
s = 900 + 60
s = 960
Thus, The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Learn more about the linear expression visit:
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What is standard form of a line?
a. y = mx + b
b. Ax + By = C
c. y - y1 = m(x - x1)
d. y = Ax + By
THREE QUESTIONSS PLEASE HELP !!!
1 . In the equation y=-4x+6, what is the y-intercept?
A.y
B.-4
C.x
D.6
2. Which equation or equations are written correctly in slope-intercept form? *
A.y=0.1x +2
B.f(x)=9.2x-5
C.h(x)=2x +3y
D.y-2=3(x+1)
3 .What is the slope of the equation -8x+4y=10?
A.4
B.-8
C.2
D.10
Answer:
1. B
2. C
3. C
Step-by-step explanation:
Answer:
1. D: 6 2.A:y=0.1x + 2 3.C
Step-by-step explanation:
1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.
2. A is the only one written in slope intercept form, or y = mx + b.
3. -8x + 4y = 10 written in slope intercept form is y = 2x + 5/2. The slope is shown by 2.
Find the slope of the line shown on the graph to the right. The slope of the line is (Type an integer or a simplified fraction) -10 -86 -4 -2.
I know Im stupid, I just need help with this..
Answer:
Sup
Step-by-step explanation:
Answer: the slope is one
Step-by-step explanation:
Sorry for the late answer but you better reply ;w;
To my recent question
Please..? I was busy tbh
Plz help I made it extra points...
Answer:
a is a linear equation
Step-by-step explanation:
slope-intercept form of Slope = -9/5, y-intercept = -4
Answer:
y = - [tex]\frac{9}{5}[/tex] x - 4
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 )
Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus
y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line
Time = 2hour +12 mins per lightswitch
She charges her customers a call out fee of £35, plus £30 per hour.
How much should a customer be charged for wiring a house with 10 lightswitch?
Answer:
£395
Step-by-step explanation:
call out fee = 35
30 per hour = 2 hour to be = 60
but, 12 minutes in hour = 12/60 = 0.2
0.2 = 0.2*30 = 6
2 hours and 12 minutes would be charges as
30 + 6 = 36
36*10 = 360
call out fee + per hour = 35 + 360 = 395
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.
Answer:
15 small boxes and 5 big boxes
Step-by-step explanation:
5 x 3 = 15
15 x 35 = 525
5 x 65 = 325
525 + 325 = 850
URGENT HELP ME OUT PLEASE 20 points
What are the solutions to the quadratic equation?
Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingredients for each one. How many ice cream cones must he sell at $1.20 each in order to make a profit?
Answer:
34 ice cream cones
Step-by-step explanation:
1.20 - .43 = .77
26 - .77 n > 0
n > 33.77
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
|x-8|<13
What is the solution
Answer:
x = (-5, 21)Step-by-step explanation:
|x - 8| < 131 .
x - 8 < 13x < 8 + 13x < 212.
x - 8 > -13x > 8 - 13x > -5Combined answer
-5 < x < 21x = (-5, 21)You move left 3 units. You end at -4, -3. Where did you start?
Answer:
(-4+3, -3) = (-1,-3)
Step-by-step explanation:
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?
Answer:
y = 6x + 22
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-3, 14)
Point (-1, 16)
Step 2: Find slope m
Substitute: [tex]m=\frac{16-14}{-1+3}[/tex]Subtract/Add: [tex]m=\frac{12}{2}[/tex]Divide: [tex]m=6[/tex]Step 3: Find y-intercept b
Define: y = 6x + bSubstitute: 16 = 6(-1) + bMultiply: 16 = -6 + bIsolate b: 22 = bRewrite: b = 22Step 4: Write linear equation
y = 6x + 22
Geometry Please Help.
Find the specific measure below.
Answer:
55 degrees
Step-by-step explanation:
one triangle has 180 degrees
deg=35 degrees so subtract 35 from 180=145 dgrees.
the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55
PLEASE HELP ASAP!!
14 POINTS
a. 6 1/6
b. 6 1/3
c. 6 2/3
d. 6 3/2
if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)
Hello!
[tex]\large\boxed{f(x) = 3x - 28}[/tex]
If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):
f(x) = (3x - 18) - 10
Simplify:
f(x) = 3x - 28
The quotient of a number and -7 is 8. What is the number?
The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx
Plz help me solve this inequality! I’m timed!
Answer:
y > 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y
Step 2: Solve for y
Distribute: 3y - 6 + 12 - 8y < 18y - 6 - 11yCombine like terms: -5y + 6 < 7y - 6Add 5y to both sides: 6 < 12y - 6Add 6 to both sides: 12 < 12yIsolate y: 1 < yRewrite: y > 1Here we see that any number y greater than 1 would work as a solution.
Please Find 23% of 40
Answer:
9.2
Step-by-step explanation:
THE POWER OF MULTIPLICATION
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?
03 to 4
4 to 3
4 to 7
7 to 4
Answer:
I think it is 4 to 3
Step-by-step explanation:
if I am wrong I'm sorry
Answer:
4-3
Step-by-step explanation:
5/8 x w = 9
So basically 5/8 x what equals 9
Answer:
not sure
Step-by-step explanation:
enter the value of b when the expression 10x+b is equivalent to 2(5x-2)
Answer:
B =4
Step-by-step explanati
What is m∠A?
m∠A =
A. 66
B. 57
C. 113
Answer:
m∠A =
A. 66°
Step-by-step explanation:
∠C = ∠B
57 + 57 = 114
∠A = 180 - 114 = 66
Find the length of side x in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
given that both angles are the same, it is an equilateral right triangle.
we can use Pythagorean's theorem
[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]
determine the value of x
Answer:
x is an unknown quantity whose value is determined based on any algebraic equation it is used in.
Step-by-step explanation:
Help Please!! I will give brainliest!
Answer:
15 mm per case is the answer. The full answer is 195 mm.
Step-by-step explanation:
hope this helps:)