1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
surface area of cylinder
Answer:
The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].
Step-by-step explanation:
To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *
Answer: 1 month = 500ml
4 month = 500ml × 4 = 2000ml = 2L
you should use the 2L container
Step-by-step explanation:
What is the area of the figure shown? Plz explain!
Answer:
D. ½y(x+z)
Step-by-step explanation:
the area = (x.y)+(½y(z-x))
= xy + ½ (yz -xy)
= xy +½yz -½xy
= ½xy + ½yz
= ½y(x+z)
Does the table represent a function? Why or why not?
Answer:
D
Step-by-step explanation:
for a table to represent a function each x value can only have one y value here we see 5 have two different values, 3 and 2, so it is not a function
The area of the triangle shown is represented by A=s(s−21)(s−17)(s−10)−−−−−−−−−−−−−−−−−−−−√, where s is equal to half the perimeter. What is the height h of the triangle?
Answer:
9.88 units
Step-by-step explanation:
We are given that area of triangle is given by
[tex]A=\sqrt{s(s-21)(s-17)(s-10)}[/tex]
s=Half perimeter
By comparing with
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
We get
a=21
b=17
c=10
[tex]s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24[/tex]
Now, the area
[tex]A=\sqrt{24(24-21)(24-17)(24-10)}[/tex]
A=84
Area of triangle, [tex]A=\frac{1}{2}\times bh[/tex]
b=17
[tex]84=\frac{1}{2}(17)(h)[/tex]
[tex]h=\frac{84\times 2}{17}[/tex]
[tex]h=9.88 units[/tex]
Hence, the height of the triangle=9.88 units
How do you write 6.45 in scientific notation?
Answer:
the decimal number 6.45 written in scientific notation is 6.45 × 100 and it has 3 significant figures.
Step-by-step explanation:
A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. Find the length of each piece of pipe.
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
What are the coordinates of P?
(b,0
a,0
0,a
0,b
Answer:
a,0
Step-by-step explanation:
Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).
What connects a coefficient and a constant
Answer:
The variable
Step-by-step explanation:
What is x² − 4x + 7 factored?
Answer:
The expression is not factorable with rational numbers.
x² − 4x + 7
eexpres -25/60 as a rational number whose denominator is -12
do any of u know how to do this ?
Answer:
The correct answer is (B)
Step-by-step explanation:
remember it is (x,y) so -4 would be on the x axis, whereas the 0, is on the y axis.
Use the function to answer questions #5-7.
please help with both
Answer:
2lnf .÷f35%vbbcy^hjv6bs8nc
three forth of a number excceed its one third by 15, find the number
The required value of x is 36
Step-by-step explanation :
Let the required number be x.
Three fourth of number = (3/4)x
One third of number = (1/3) x
According to the question ;
3x/4 = x/3 + 15
→ 3x/4-x/3 = 15
→ 9x - 4x / 12 = 15
→ 5x = 15 x 12
⇒ x = 180 / 5
⇒ x = 36
Hope this answer helps you..!!!(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
a) |9+x|=2x
b) |x+6|=2x+9
Answer:
a) 9
b) -3
Step-by-step explanation:
a)
|9+x|=2x
9 + x = 2x
- x -x
---------------
9 = x
b)
|x+6|=2x+9
x +6 = 2x +9
-x -x
6 = x + 9
-9 -9
--------------
-3 = x
Determine the period.
Answer:
2
Step-by-step explanation:
Basically, the period of a sinusoidal graph is the distance between one cycle to another. As can be visually seen, this is 2.
Answer:
2
Step-by-step explanation:
its right on Acellus
Please help me expand theses and then help me factorise these brackets
Answer:
-9xy+16x
Step-by-step explanation:
x(y-2) +3x(6-y) -7xy
Distribute
xy -2x +18x-3xy -7xy
Combine like terms
-9xy+16x
Answer:
-9xy+16x
Step-by-step explanation:
x(y-2)+3x(6-y)-7xy
xy-2x+18x-3xy-7xy
xy-3xy-7xy-2x+18x
-9xy+16x
factories 2x^3+ 7x^2+ 7x +2 emergency pls
hope it helps you...............
Answer:
the answer is (x+1)(x+2)(2x+1)
Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c, plus, 36, d, plus, 18, equals
Answer:
[tex]6(4c + 6d + 3})[/tex]
Step-by-step explanation:
Given
[tex]{24c + 36d + 18}[/tex]
Required
Apply distributive property
We have:
[tex]{24c + 36d + 18}[/tex]
Factor out 6 (to apply distributive property)
[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]
Hence, the equivalent is:
[tex]6(4c + 6d + 3})[/tex]
I NEEDDD HELPP ITS URGENTTT. !!
Answer:
use the information provided to write the standard form equation of the circle
1. ends of a diameter: (11,-6) and (1,14)
use the information provided to write the genral conic form equation of each circle.
1. three points of the circle:
( 7,-4)(-3,-4) and ( 6,-7)
identify the centere and radius. then sketch the graph
1. x^2+y^2-4x-14=0
(x^2-4x)^2+(x-2)^2+10
Answer:
x^4-8x^3+17x^2-4x+14
Step-by-step explanation:
Answer:
nan
Step-by-step explanation:
see the above picture
Find the measure of a.
Answer:
a is 44 degree
Step-by-step explanation:
Find the total surface area.
Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²
Answer:
D. 638 in^2
Step-by-step explanation:
total surface area is just the sum of areas of each side of the cube
opposite sides have the same area
top and bottom = 9*11
sides = 11*9
front and back = 11*11
SA = 2(9*11 + 11*9 + 11*11)
SA = 2(99 + 99 + 121)
SA = 2(319)
SA = 638 in^2
1/5 of a wall every 1/4 hour what fraction represents the section of a wall jeb can paint in one hour
Answer:
4/5 of the wall
Step-by-step explanation:
In 1/4 of an hour, 1/5 of the wall is painted. That means that
in 4/4 of an hour (which is an hour), 4/5 of the wall is painted.
4/5 is your answer
Find the measure of the numbered angles.
Angle 1 =
Angle 2 =
Angle 3 =
Angle 4 =
Angle 5 =
Angle 6 =
Angle 7 =
Angle 8 =
Explanation in pictures.
Hope this helps!! Have a good day!
what is the volume of the cylinder
I think the answer is C
I'm not sure
HELP QUICK
Question 1 (1 point)
A wave travels at 3 000 m/s. If its wavelength is 6.0 m, what is its period?
Answer:
0.002 seconds
Step-by-step explanation:
Wave period = Wavelength/Velocity
Period = 6/3,000
Period = 0.002 seconds
The number seventeen and seven thousand in decimal form is
Answer:
17.00 and 17,000.00
this is your answer to ur question
