Answer:
Step-by-step explanation:
dollar amount of increase = $3.85 - $1.54 = $2.31
percentage increase = (amount of increase)/(original price) = $2.31/$1.54 = 1.5 = 150%
What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
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:
https://brainly.com/question/20693059
#SPJ2
Which linear inequality represents the graph below?
(0,4)
(2,4)
Answer:
c
Step-by-step explanation:
slope of red line=(-4-4)/(2-0)=-8/2=-4
eq. of red line is y-4=-4(x-0)
y=-4x+4
put x=0,y=0
0=0+4
which is true if 0<4
so y<-4x+4
The linear inequality represents the graph fr the coordinates (0,4), (2,-4) is y < -4x + 4.
What is linear inequality?Expressions with linear inequalities compare any two values using inequality symbols like "<", ">" , "≤" or "≥" These values could be either numerical, algebraic, or both.
Calculation for linear inequality shown by graph:
The coordinates of the straight line are (0,4), (2,-4).
Substitute the value in equation shown in option C.
y < -4x + 4
For points (0,4), put x = 0 and find y.
y < -4×0 + 4
y = 4 , which is satisfied.
Now consider points (2, -4)
Put x = 2 in the same equation and find y.
y < -4×2 + 4
y = -4 ( which again satisfies the given value for y)
Therefore, the equation y < -4x + 4 satisfies the points given for straight line.
To know, how to find equation of line for any point?, here
https://brainly.com/question/18831322
#SPJ2
True or False: If you are tossing three dice, ={2,3,4,5,6}
is an event in that sample space.
false
true
I think is true
Please let me know if it right
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
Which pair of triangles can be proven congruent by SAS?
AA
Pls help quick number 2 and 3 pls!
Answer:
y=c (468) =e _24 the answer
The two-way table shows the ages of the players on different soccer teams.
Answer:
3rd one down is the answer
What is the value of x?
Answer:
x=2
Step-by-step explanation:
so u have 7 as the whole length.
and 5 of the 7 is filled
so u do this 7-5=2
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:
hi girls
join
if you want to
s h o w. a n d. s e e
gxp-gqpo-hua
4x+25=57
valor de x por favor
Answer:
4x=8
Step-by-step explanation:
4x=32
32/4=8
Answer:
x=8
Step-by-step explanation:
4x+25=57
Subtract 25 from both sides:
4x+25-25=57-25
Simplify:
4x=32
Divide both sides by 4:
4x/4=32/4
Simplify:
x=8
what is the greatest common factor of 75 120 90?
Answer:
15
Step-by-step explanation:
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
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
f(x) = (x + 3)*(x + 1)
2.) (3x2 – 7x - 8) - (4x2 – 5x + 4)
I want the answer
Answer:
x^2 - 2x - 12
Step-by-step explanation:
Answer:
-4x^2 -2x -6
Step-by-step explanation:
Can anyone help me pls
Yep me out please where can I found the value of x in the triangle at the right?
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
Help me find the volume of the composite figure
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
10 x to the 5th power
Answer:
I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be
100,000 if it is 10 to the 5th power
If it is 10x to the 5th power then it's 100,000x
Step-by-step explanation:
I hope that helps :) explanation and answer is up!
Answer:
100000x
Step-by-step explanation:
When you do anything to a positve power, the decimal point goes to the right, if its negative to the left
Expand. Your answer should be a polynomial in standard form. (d^2+3)(d^2+2d+1)=(d 2 +3)(d 2 +2d+1)=left parenthesis, d, squared, plus, 3, right parenthesis, left parenthesis, d, squared, plus, 2, d, plus, 1, right parenthesis, equals
Answer:
A= d^4-d^2-6
Step-by-step explanation:
I have khan academy and the other answer is wrong
PLZ answer this soon!!!!
Answer:
8 -4
Step-by-step explanation:
helphelphelphelphelphelphelphelphelphelphelphelphelp
Step-by-step explanation:
just subtract everything
PLZ help me on coordinate work
Answer:
M: (-12,-19) N:(20,5)
Step-by-step explanation:
M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.
20-(-3)= 23
Use the distance to find the coordinates.
-4+23= 19
N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.
-12-(-3)=-9
Use the distance to find the coordinates.
-4+9= 5
Answer:
N=(20,5)
M=(-12,19)
Step-by-step explanation:
Rectangular Coordinates
The diagram shows two identical and rotated triangles (assumed as right triangles).
We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.
The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.
The coordinates of M are (-12,y), where y = -4+23 = 19.
M=(-12,19)
The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.
The coordinates of N are (20,-4+9) = (20,5)
N=(20,5)
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
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:
brainly.com/question/26719838
#SPJ2
Solve the equation:
8x + 6 – 9x = 2 - X + 4
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%
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40