Answer: x =(4-√168)/2=2-√ 42 = -4.481
x =(4+√168)/2=2+√ 42 = 8.481
Step-by-step explanation:
Answer:
x = -4.48, 8.48 to the nearest hundredth.
Step-by-step explanation:
x^2 - 4x - 9 = 29
Completing the square:
(x - 2)^2 - 4 - 9 = 29
(x - 2)^2 = 29 + 13 = 42
x - 2 = +/-√42
x = 2 +/-√42
x = 8.48, -4.48 .
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
The equation y-2=3(x+1) is written in point-slope form. What is the equation in slope-intercept form?
Our first step would be to distribute this 3 through the
parentheses to get 3x + 3 on the right side of the equation.
On the left bring down your y - 2 to get y - 2 = 3x + 3.
Next we would move the -2 to the right side of the
equation by adding 2 to both sides to get y = 3x + 5.
Now, this equation is written in slope-intercept form because
the y is by itself on the left side of the equation.
from this equation, y=12x+1, which of these are true?
the slope is 12
the x intercept is 1
the slope is 1
the y intercept is 12
Answer:
the slope is 12
Step-by-step explanation:
y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.
Since 12 has replaced m, it is the slope.
Since 1 has replaced b, it is the y-intercept.
"the slope is 12" is the correct answer choice.
find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer
Answer:
2261.95
Step-by-step explanation:
A=2πrh+2πr2
Answer:
2261.9
Step-by-step explanation:
the other users answer was correct, but not with 1 decimal place
Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2
Answer:
A is the answer
Step-by-step explanation:
5(2x+1)<10
10x+5<10
-5 -5
____________
10x<5
—— —-
10 10
———————-
x < 1/2
Answer:
a.x<1/2
Step-by-step explanation:
5(2x+1)<10
2x+1< 5/10
2x+1<2
2x<2−1
2x<1
x< 1/2
mark brianliest if my answer suit your question
A store uses a 60% markup rate to sell items to its customers. If one item costs 12$ how much money the store will make on that item. And what is the selling of that item.
Answer:
12
Step-by-step explanation:
60% of $12
(60 × 20) ÷ 100 = 12
A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
[tex]\mathbf{7x^3+3.5x^2}[/tex];
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e
[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]
Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
Solve for x in the diagram below.
120°
3x
0
2=
Answer:
x=40
Step-by-step explanation:
The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.
120=3x
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
120/3=3x/3
120/3=x
40=x
x is equal to 40.
Answer:
40
Step-by-step explanation:
i had this a while ago
What is the slope of the ramp shown in the diagram below?
Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
Learn more about Slope here :
https://brainly.com/question/3605446
#SPJ7
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
12.5
its right
Step-by-step explanation:
76 deliveries in 4 hours
= [ deliveries per hour
Answer: 17.75 deliveries made per hour
Step-by-step explanation:
71/4 = how many deliveries made per hour.
the area that lies between Z=-2.61 and Z=0 is
Answer:
2.61
Step-by-step explanation:
To find the amount of space between the two points, subtract -2.61 from 0.
0 - (-2.61) Distribute the negative
0 + 2.61 Add
2.61
Archimedes drained the water in his tub. 62.562.562, point, 5 liters of water were drained each minute, and the tub was completely drained after 888 minutes.
Answer:
500 liters
Step-by-step explanation:
We want to find the total amount of water that was drained.
He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:
62.5 * 8 = 500 liters of water
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
complementary
Step-by-step explanation:
to complete 90 gradus
_________________________________
Hey!!
<a and <b are complementary angles.
Complementary angles are those angles which are exactly 90 degree.Hope it helps
Good luck on your assignment
__________________________________
Volume of a triangular prism 4 cm 9 cm and 5 cm
Answer:
180 cm³
Step-by-step explanation:
Volume = base area x height
4x9x5
Answer:
180 cm^3
Step-by-step explanation:
Vol = base time height times length
4 times 9 times 5 = 180
What is the value of f(x) = 2.2 for f(-2)?
here is your ansewewrew
What is the value of x?
Answer:
x = 98
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 53+45
x = 98
Answer:
x°=98°
Step-by-step explanation:
Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.
x°=98°
Which of the following is an angle shown in the drawing?
Will mark as brainliest if correct. Please answer ASAP please.
Answer: All of them besides <AEB
Step-by-step explanation:
Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct
What is the square root of 1000
Answer:
31.6227766
Step-by-step explanation:
hope this help \ do you want to be friends?
give me brainlest please bet
ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i bet you are cute
What expression represents 6 less than the quotient of a number and 4 is 15
Find the surface area of the prism.
Answer:
78 square ft.
The answer is 75 ft
explanation
12ft x 2.5ft = 30ft
12ft x 2ft = 24ft
12ft x 1.5ft = 18ft
1.5ft x 2ft = 3ft
30 + 24 + 18 + 3 = 75
the compounding of this question
3x-2y=-4 can someone find the slope and y intercept for this? thank you.
Answer:
[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]
Step-by-step explanation:
PLEASE HELP ME PLEASE AND THANK U
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
Need it for grade: What is X???
Answer:
x=6
Step-by-step explanation:
FG + GH = FH
4+x-3 = 2x-5
Combine terms
x+1 = 2x-5
Subtract x from each side
x+1-x = 2x-5-x
1 = x-5
Add 5 to each side
1+5 = x-5+5
6 =x
Answer:
x=6
Step-by-step explanation:
F G + G H = F H
4+x-3 = 2x-5
Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.
a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.
Answer:
Givens
The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.If a window has 2 meters side, how much would it cost? (A)Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)
If we paid 60 euros, the dimensions are (B)
[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
what kind of growth model (pattern) is showen in the table x 1, 2, 3, 4, 5 y 5, 25, 125 ,635 ,3,125
Answer:
x= AP, y= GP
Step-by-step explanation:
x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP
y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP
Answer:
x= AP, y= GP
Step-by-step explanation:
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
This is a simultaneous equation question.answer and steps plz.
Answer:
Number of 10 cent coins = 14
Number of 50 cent coins = 7
Step-by-step explanation:
Let the number of coins of 10 cents = a
and the number of coins of 50 cents = b
Total count of coins = 21
a + b = 21 ---------(1)
Value of 10 cent coins = $0.10
Value of a coins of 10 cents = 0.10a
Value of 50 cent coins = $0.50
Value of b coins of 50 cents = 0.50a
The value of these coins = $4.90
0.10a + 0.50b = 4.90
a + 5b = 49 --------(2)
By subtracting equation (1) from equation (2)
(a + 5b) - (a + b) = 49 - 21
4b = 28
b = 7
From equation (1),
a + 7 = 21
a = 21 - 7
a = 14
Therefore, number of 10 cents coins = 14
number of 50 cent coins = 7
12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is
Answer:
300 inches tall or a flat surface is the best way you could use it to be
