Answer:
y=6x-6
Step-by-step explanation:
The slope equation is: y=mx+b
Keep in mind that m= slope and b= y-intercept
Since this problem gives us both of the things needed to complete the equation, we just need to plug it in.
m, (slope) = 6
b, (y-intercept) = -9
y= 6x-6
mZGCD = 7x – 3, mZBCG = 100°
and mZBCD = 18x - 2. Find x.
G
D
B
Answer:
x = 9
Step-by-step explanation:
BCD - GCD = BCG
BCG = 100
18x - 2 - (7x - 3) = 100
18x - 2 - 7x + 3 = 100
11x + 1 = 100
11x = 99
x = 9
Which pair of triangles can be proven congruent by SAS?
AA
what is the greatest common factor of 75 120 90?
Answer:
15
Step-by-step explanation:
Marianne has a scarf that is 5 inches longer than it is wide. if the area of her scarf is 84 square inches. what are the dimensions of her scarf?
Answer:
The dimensions of Marianne scarf = 12 × 7 inches
The length of the scarf =12inches
The width of the scarf = 7 inches
Step-by-step explanation:
Step(i):-
Let 'x' be the width of the scarf
Given that the length of the scarf = x+5
The area of the rectangle = length × width
Given that the area of the rectangle (scarf) = 84 square inches
Step(ii):-
length × width = 84
(x+5) × x = 84
x² + 5x - 84 =0
x² + 12 x - 7 x - 84 =0
x(x+12) -7( x+12) =0
(x-7)(x+12) =0
x -7 =0 and x+12=0
x =7 and x= -12
Step(iii):-
We have to choose x =7
The length of the scarf = x+5 = 7+5 =12inches
The width of the scarf = x = 7 inches
Calculate the input when the output is n
Answer:
You didn't post an image.
Step-by-step explanation:
an aircraft flew 5 hours with the wind. the return trip took 6 hours against the wind. if the speed of the plane in still air is 220 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air
A scale drawing of Jacks living room is shown below. If each 2cm on the scale drawing equals 10 feet, what are the actual dimensions of the room. 4cm by 6cm
Answer:
Hope dis helps :> Have a great day
Step-by-step explanation:
Drawing : Actual
Scale
2 : 10
2 cm : 10 feet
Length
6 cm : 30 feet
Width
4 cm : 20 feet
The actual dimensions of the room are - Length=30 feet, Width=20 feet.
The answer is the second one.
Solve for v 29 = -8v - 7 + 5v Simplify your answer as much as possible
Answer:
v = -12
Step-by-step explanation:
29 = -8v - 7 + 5v
Combine the 'like terms':
29 = (-8v + 5v) - 7
29 = -3v -7
Add 7 to both sides:
29 + 7 = -3v -7 +7
36 = -3v + 0
36 = -3v
Divide both sides by the coefficient in front of the variable 'v' because we want to get 'v' all by itself. So, divide by -3.
36/-3 = -3v/-3
-12 = v
And that is the answer, v is negative twelve
Answer:
v=
Step-by-step explanation:
29= -8v- 7 + 5v
-8v + 5v - 7 = 29
-3v - 7 = 29
-3v - 7 + 7 = 29 + 7
-3v = 36
-3v ÷ -3 = 36 ÷ -3
v = -12
i kinda need your help.. pls help me...
I'm really not good at math pls... answer it or pls explain me how do I do this??? how can I multiply or divide this????? PLS HELP ME
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 3% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
________________________________
A = P × i × n= $50,000 × 3% × 4 Years= $6,000$50,000 Will Be Invested In B-Rated Bonds________________________________
Solve the equation:
8x + 6 – 9x = 2 - X + 4
1 poll
4-Jeremy drove 150 miles in three hours. At that rate, how far would he
drive in eight hours? *
Answer:
400 miles
Step-by-step explanation:
150 miles/3 hours=50 miles per hour
50 miles per hour x 8 hours=400 miles
T-Shirt Costs 275 Total Cost Number of T-Shirts The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts, and y = the cost which equation models of great varlation
Plz help will give brainliest answer
Answer:
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Answer:
8 -4
Step-by-step explanation:
f(x) = (x + 3)*(x + 1)
What is the angle of elevation of the sun when a 42-ft mast casts 16 ft shadow?
thanks
Answer:
Heres how you do it
Step-by-step explanation:
10+2 =12 which means 72
What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
Pls help quick number 2 and 3 pls!
Answer:
y=c (468) =e _24 the answer
PLEASE HELP
If x = 3x + 4 - 1 , then what does -x equal?
Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
What is the angle of elevation from point A to point C?
Answer: b
Step-by-step explanation:
By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.
The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
It is given that:
The right-angle triangle is shown in the picture.
The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees
The angle A = 32 degrees
Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
Learn more about trigonometry here:
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Mojave art club is selling t shirts for a fundraiser. A local company charges $35 to set up the logo and $4.25 per t shirt if x t shirts are printed by the business.
If the art club charged $10 per shirt how many shirts would need to be sold to cover their costs?
function C(x)=35+4.25x/x
Answer:
At least 7 shirts would need to be sold to cover their costs
Step-by-step explanation:
Cost of producing x t-shirts.
The cost of producing x t-shirts is a flat fee of 35 plus 4.25 per t-shirt. So
[tex]C(x) = 35 + 4.25x[/tex]
Earnings of selling x t-shirts:
Charges $10 per t-shirt, so it earns 10 for each t-shirt it sells.
[tex]E(x) = 10x[/tex]
How many shirts would need to be sold to cover their costs?
To cover the costs, we need that the earnings are equal or higher than the costs. So
[tex]E(x) \geq C(x)[/tex]
[tex]10x \geq 35 + 4.25x[/tex]
[tex]5.75x \geq 35[/tex]
[tex]x \geq \frac{35}{5.75}[/tex]
[tex]x \geq 6.09[/tex]
Since we cannot sell a decimal part of a shirt, at least 7 shirts would need to be sold to cover their costs
Which expression is equivalent to ^3√×^5y?
Answer:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Answer:
Step-by-step explanation:
x=
3
------------
5y+2
SOLVE FOR Y
y=
5
--------------
3x−2
1. What is the value of x, type only a numeric answer.
2x
2x
3x
Answer:
x = 30
Step-by-step explanation:
Given is an irregular pentagon.
The sum of the exterior angles of an irregular polygon equals 360 degrees.
Therefore,
x° + 2x° + 2x° + 4x° + 3x° = 360°
12x° = 360°
12x = 360
x = 360/12
x = 30
A rectangular courtyard has an area of 104 square yards. The length of the playground is 3 yards shorter than twice the width. Find the
length of the playground,
O 10 yards
O 15 yards
O 8 yards
O 13 yards
The length of the playground is 13 yards.
What is the area if the rectangle?A = l × w
where 'l' represents the length of the rectangle
'w' represents the width of the rectangle
For given example,
area of rectangular courtyard = 104 square yard
Let the length of the playground be l cm and the width be w cm.
Then, l = 2w - 3
The area of a rectangle is,
[tex]A=l\times w\\\\104=(2w-3)\times w\\\\104=2w^2-3w\\\\2w^2-3w-104=0\\\\w=\frac{-b\pm \sqrt{b^2 -4ac} }{2a} \\\\w=\frac{3\pm\sqrt{9-4(2)(-104)} }{4} \\\\w=\frac{3\pm\sqrt{841} }{4} \\\\w=\frac{3\pm29}{4}\\\\w=\frac{3+29}{4} \text{ or } w=\frac{3-29}{4}\\\\w=\frac{32}{4}\\\\w=8\\\\[/tex]
So, the width of the playground is 8 cm.
Now, we find the length of the rectangular playground.
[tex]l=2w-3\\\\l=2(8)-3\\\\l=16-3\\\\l=13~yards[/tex]
Therefore, the length of the playground is 13 yards.
Learn more about the area of the rectangle here:
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Hi, I need help asap thx u
Hi can somebody pllsss tell me the answer
Answer:
choice 3
Step-by-step explanation:
Answer:
Fourth Option
Step-by-step explanation:
The perimeter of a shape is all sides added. So, if you do 2x + 2x + (x+1) + (x+1), you would get 6x+2. To get the answer to the question, you verify to see which one of the options equal to 6x+2.
First option:
2x(x+1) and 2(2x) + 2(x+1). You find what this equals. 2x(x+1) = 2x^2+2x so we can automatically elimate this one.
Second option:
2x(x+1) and 2x+2x+2x+1. Here again you see 2x(x+1) which equals 2x^2+2x and is not correct so we eliminate this.
Third option:
4x(2x+2) and 2x(x+1) + 2x(x+1). Once more you see 2x(x+1) but added to 2x(x+1) which would basically equal 2x^2+2x *2. Therefore, it's not this one.
Fourth option:
6x+2 and 2x+(x+ 1) +2x + (x+ 1). Now this one looks right because we already got 6x+2 and this is the only option that presents that but also because we initially solved 2x + 2x + (x+1) + (x+1) and this equals 2x+(x+ 1) +2x + (x+ 1).
I guess you don't really have to solve each of them you can kinda see and tell that the last one seems right but if you're not sure you should use the process above.
I hope this helped!
Can somebody please help me I really wanna go to sleep :(
1024 by 2x10
I hate math
Ana is using a photocopier to make
315 copies of a poster. It takes 3
minutes to print the first 63 posters.
.
If the photocopier continues to print
at the same rate, how many more
minutes will it take to complete the
job?
Answer:
4
Step-by-step explanation:
16. J.D. opened a savings account with $425. After
2 years, the total interest he earned was $10.20.
What was the annual interest rate?
Answer:
1.2%
Step-by-step explanation:
Solving our equation
r = 10.2 / ( 425 × 2 ) = 0.012
r = 0.012
converting r decimal to a percentage
R = 0.012 * 100 = 1.2%/year
The interest rate required to
accumulate simple interest of $ 10.20
from a principal of $ 425.00
over 2 years is 1.2% per year.
A national rental car company purchased compact and midsize cars.
The company budgeted $14,000,000 to buy a minimum of 650 cars altogether.
The company did not exceed their budget.
The company paid an average of $13,000 for each compact car and $28,000 for each midsize car.
Which system of inequalities represents all possibilities for the number of compact cars,c, and the number of midsize cars, m, that could have been bought?
{c+m≥65028,000c+13,000m≤14,000,000
{m+c≥65028,000m+13,000c≤14,000,000
{m+c≤65028,000m+13,000c≥14,000,000
{c+m≤65028,000c+13,000m≥14,000,000
Answer:
B
Step-by-step explanation: 100%