Answer:
Step-1 : Multiply the coefficient of the first term by the constant
Step-by-step explanation:
Answer:
step 1 = Subtract 3 from both sides
step 2= Use quadratic formula with a=1, b=14, c=-46
Answer to the equation = x=−7+√95 or x=−7−√95
Please help.
Mary is currently 14 years older than her friend Courtney. In 5 years she will be 2 times as old as Courtney. Let x be Courtney’s age and solve for both of their ages.
How old is Courtney?
Answer:
x = 19
Step-by-step explanation:
x = Courtney's current age
14+x = Mary's current age
Mary's current age: 14 + 19 = 33
14 + x + 5 = 2x
19 = x
Thirty-two of 50 marbles are blue. What percent of the marbles are blue?
Answer:
64%
Step-by-step explanation:
Thirty-two of 50 marbles = 32/50[tex]\frac{32}{50} = \frac{64}{100}[/tex] 64/100 = 64%I hope this helps!
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
Can someone help me please!
Answer:
divide the numerator by the denominator
A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
Answer:
Total cost to conduct survey = $2075
Step-by-step explanation:
Given that:
Number of questions on survey = 15
Number of people = 500
Base fee = $1000
Per question charge = $5
Per person surveyed = $2
Let,
q be the number of questions
p be the number of people
Total cost = Base fee + 5q + 2p
Total cost = 1000 + 5(15) + 2(500)
Total cost = 1000 + 75 + 1000
Total cost = $2075
Hence,
Total cost to conduct survey = $2075
8n+7=31 what does n equal
Answer: n = 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
take the 7 and minus it from 31 then divide 8 from 31
The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
The required measure of side a of the rectangular prism is a = 9.3 meters.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3
Since the negative measure of length can be neglected.
a = 9.3 = b
Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ5
find the value of x.
Answer:
X= 20 degrees
Step-by-step explanation:
Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:
(3x)3= 180
9x= 180
X =20
In a standard deck of cards, what is the probability of drawing a face card?
Answer (round) to the hundredth place value.
Reasoning:
There are 12 face cards since there are 3 face cards in any suit, and 4 suits. So 3*4 = 12.
There are 52 cards total.
Dividing the values leads to 12/52 = 0.230769 which rounds to 0.23
The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB
Step-by-step explanation:
Soln
given,
from the figure
coordinate of B is (5,3),
A(7,0) and C(0,4)
A. solution
let, M(x,y) be the mid point of AB
A(7,0) = (x1,y1)
B(5,3) = (x2,y2)
we know
x = (x2+x1)/2
or, x = (5+7)/2
or, x = 12/2
or, x = 6
and for y
y = (y2+y1)/2
or, y = (3+0)/2
or, y = 3/2
therefore M(x,y) = (6,3/2)
B. solution
let,
C(0,4) = (x1,y1)
B(5,3) = (x2,y2)
equation of line is ;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)
or, (y - 4)/(x - 0) = -1 / 5
by cross multiply
or, 5×(y - 4) = -1×(x)
or, 5y - 20 = -x
or, x + 5y = 20 is the required equation.
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer:
Angle Y < Angle Z
Step-by-step explanation:
Answer:
angle X < angle Y
Step-by-step explanation:
........
What is this answer?
Answer:
The answer is (-1,-10)
hope this helps
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
D. (-1, -10)
Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!
What is the equation of the line that passes through the point (5,−2) and has a slope of -2/5
Answer:
y= -(2/5)x
Step-by-step explanation:
When you graph this line you can see it clearly passes through the point (5,-2)
Answer:
y + 2 = -2/5 (x - 5)
OR
y = (-2/5)x
Step-by-step explanation:
There are many ways you can find the equation.
There are two main ones, one called point-slope form, and the other called slope intercept form.
Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.
Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.
The equation would be y + 2 = -2/5 (x - 5).
Slope intercept form is a bit harder. You need a point and the y-intercept.
Since you already have the slope, all you need to find is the y-intercept.
Slope intercept form is y = mx + b
x and y are the given points. m is the slope, and b is the y-intercept.
The y intercept is when the x value of a point is 0.
To find b, you can plug in the information you have, which is the point and the slope.
y = mx + b
-2 = (-2/5)(5) +b
-2 = -2 +b
b = 0
Since b is 0, the equation would just be y = (-2/5)x.
6 boy students make up 24% of the total class how many total students are in class
Answer:
There are 25 students in the class.
Step-by-step explanation:
1. Set up an equation. The equation would be 6 = 24/100x.
2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.
Answer:
25 students
Step-by-step explanation:
25 x 0.24 = 6
If a = -3, find the value of 3a²
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
The number 3.07 × 10 -4 written in standard form is _____.
300,700
0.00307
30,700
0.000307
Answer:
0.000307
Step-by-step explanation:there will be no explaintion but it should be correct
Answer:
it should be 0.000307
Step-by-step explanation:
Please help I’ll give you brainlist or something
Answer:
1 slope of f is 5
slop of g is 2
2. connor
initial value is 200
rate of change is -10
Pilar
initial value is 242
rate of change is -8
3.
y intercept of f is -3
y intercept of g is -1
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
.
PLEASE ANSWER I NEED HELP
Kayla gets paid $15 to rake the lawn. Kayla gets paid 3 times as
much to rake the lawn as she does to mow the lawn. How much
does Kayla get paid to mow the lawn?
Answer:
$5
Step-by-step explanation:
The opposite of multiplication is division.
$15/Raking = 3 times more pay than mowing the lawn.
Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.
15/3 = 5
Answer:
5
Step-by-step explanation:
Solve for b in the equation 4(b + 2) = 16
Answer:
b=2
Step-by-step explanation:
I need help with Geometry
9514 1404 393
Answer:
(5, 1)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Rotation 90° CCW is the transformation ...
(x, y) ⇒ (-y, x) . . . . rotation 90° CCW
The two transformations together give ...
(x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW
For point B, this gives ...
B(1, 5) ⇒ B'(5, 1)
find what x=______
show work pleae
Answer:
Use pythogoras theorem
a^2+b^2=c^2
x^2=c^2-a^2
x^2=15^2-12^2
x^2=81
x= square root of 81
x=9
Step-by-step explanation:
3n^2 + 8n + 16 = 2n^2
Answer:
=11n+2+8n+16+2n+2 simplification is 11n+20+2N
Step-by-step explanation:
what is distributive of property
(6e - 3f - 4) * 2
Answer:
12e - 6f - 8
Step-by-step explanation:
(a+b)*c = a*c + b*c
6e * 2 -3f * 2 -4 * 2
What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0
Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R
if g(x) =x -7, what if the value of x when g(x) =6
Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
2. Evaluate
x=6+7
x=13
Joy delivered 450 newspapers in 3 hours how many can she deliver in 4 hours
Step-by-step explanation:
Time in hours is directly proportional to the number of newspapers.
3 hours = 450 newspapers
=> 4 hours = 450 * (4/3) = 600 newspapers.
Hence Joy can deliver 600 newspapers in 4 hours.
Pls pls pls help me
Step-by-step explanation:
I hope its clear.
try finding help from others...
mine could be wrong
Mr.Klein's class is selling candy for a fundraiser. The class has a goal of raising $450 for selling (c) boxes of candy. Each box of candy costs $3.75.
Answer:
so since their goal is to get $450 and each candy box is $3.75, what you do is divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.
Step- by-step explanation:
A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.
please help (picture above)
Answer:
y= 45
x=9
Step-by-step explanation:
plug 5x into y since y=5x:
5x=4x+9
-4. -4
x=9
5(9)=45
Answer:
x=9 y=45
Step-by-step explanation:
y=4x + 9.......(1)
y= 5x.........(2)
Substitute 5x for y in equation 1.
5x= 4x + 9
5x - 4x = 9 (Collect like terms 5 and 4 have x in common if +4 crossover it changes to -4)
x = 9
substitute 9 for x in equation 2.
y = 5(9)
y = 5 x 9(multiplication)
y = 45