Answer:
the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
Find the diameter of the object.
A circular steering wheel with radius labeled 0.8 feet.
diameter:
ft
in order to find the diameter, you multiply the radius times 2.....so you would do 0.8 times 2 which equals 1.6
The diameter of the circular steering wheel is 1.6 feet
How to determine the diameter?The radius of the object is given as:
r = 0.8 feet
Multiply both sides by 2, to determine the diameter
d = 2 * 0.8 feet
Evaluate
d = 1.6 feet
Hence, the diameter of the circular steering wheel is 1.6 feet
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The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 students would fill 2 buses and 3 vans
Step-by-step explanation:
Let x be the no. of students in each van
No. of students in 12 vans = 12x
No. of students in 14 vans = 14x
Let y be the no. of students in each bus
No. of students in 14 buses = 14y
No. of students in 12 buses = 12y
We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
12x+14y=796 ---1
We are also given that General High rented and filled 14 vans and 12 buses with 738 students.
14x+12y=738 ---2
Plot 1 and 2 on graph
12x+14y=796 --- Green line
14x+12y=738 --- Purple line
Intersection point gives the solution
Intersection point=(x,y)=(15,44)
No. of students in 1 van = 15
No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]
No. of students in 1 bus = 44
No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]
So,Total no. of students in 3 vans and 2 buses = 45+88=133
Hence 133 students would fill 2 buses and 3 vans
To the nearest cubic inch, what is the volume of the
right triangular prism?
Answer:
The Volume of right triangular prism is 240 cubic inches
Step-by-step explanation:
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
In triangle ABC
AC = Hypotenuse = 13 in.
AB = Height
BC = Base = 12 in.
Using Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+base^2\\13^2=Perpendicular^2+12^2\\\sqrt{13^2-12^2}=Perpendicular[/tex]
5=Perpendicular
Area of base = [tex]\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 12 \times 5 = 30 in^2[/tex]
Height of prism = 8 in
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
Volume of right triangular prism =[tex]30 \times 8 = 240 in^3[/tex]
Hence The Volume of right triangular prism is 240 cubic inches
Pls help!!!!!$:):80-$/!:8:$:
Answer:
5.95
Step-by-step explanation:
[tex]2\frac{7}{10}=\frac{27}{10}=2.7\\[/tex]
3.25 + 2 7/10 = 3.25 + 2.70 = 5.95
x/7 > -2. Solve and graph. Help.
how do I turn 0.333 into a fraction
Therefore, the decimal is equivalent to 4/5. Answer: The decimal is converted to 4/5 as a fraction. Problem 2: How do you convert 2.83 (3 repeating) to a fraction? ... Answer: The decimal is converted to 17/6 as a fraction.
Miguel worked 5 days last week. If he worked 7.2 hours on average each day, how many hours did he work for the week?
Simplify the expression. What classification describes the resulting polynomial?
Answer:
A quadratic Trinomial
Step-by-step explanation:
hope this helps
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A
Answer: i believe the answer would be a quadratic trinomial.
Step-by-step explanation:
Given f(x)= 4x^4 find f^-1(x) Then state whether f^-1(x) is a function
Answer:
The inverse is
f^-1(x) = (1/√2)x^¼
And it is a function
Step-by-step explanation:
Given f(x) = 4x^4
Let y = f(x), so that
y = 4x^4
Then dividing both sides by 4
x^4 = y/4
Taking the fourth root of both sides
x = (y/4)^¼
x = (1/√2)y^¼ = f^-1(y)
Put y = x
y = (1/√2)x^¼ = f^-1(x)
This is the inverse.
f^-1(x) is a function.
Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $4500 , making Digitalis a profit of $383 . Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective. If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?
To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective.
Answer:
Digitalis should expect to lose money from selling processors.
The amount of loss is $112
Step-by-step explanation:
When the processor is not defective the company has 89% chance of making a profit of $383 per processor.
However,the company has 11% chance of a processor being returned ,as a result the company would not make no gain but would lose its cost of producing the affected processors.
cost per processor=selling price-profit=$4500-$383=$4117
outcome=89%*profit-11%*cost per processor=89%*$383-11%*$4117=-$112
Which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28
A) (-3,-2)
B) (-2,-3)
C) (0,4)
D) (4,0)
you deposit $2000 into an account which pays 4.5% annual intrest compounded quarterly. How long will it take the account to double in value?
Answer: She could have the same future value and invest less than $2,000 initially if she could earn more than 64.5 percent interest.
Step-by-step explanation:
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(x) is the graph of f(x) shifted 5 units up.
O B. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O C. The graph of g(x) is the graph of f(x) shifted 5 units down.
O D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.
Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.
Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.
The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).
An example of this is been attached below.
Therefore, the statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".
Learn more about Function:
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Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y - 4x = 6
y-2x = 7
A. No solution
B. More than 1 solution
C. x = 4, y = -2
D. x= -1, y = 1
Answer:
A: no solution
Step-by-step explanation:
The lines will always be 2 spaces apart
Answer:
A. No solution
Step-by-step explanation:
I graphed the equations on the graph below and noticed that the lines appear to be parallel, which means they don't intersect at any point.
If this answer is correct, please make me Brainliest!
Can you answer the questions
Below please and thank you
Answer:
1. 60
2. 90
Step-by-step explanation:
Answer:
1.
1/5
2.
1/15
Step-by-step explanation:
What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Answer:
[tex]\frac{7\pi}{4}[/tex].
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector = [tex]56\pi\text{ cm}^2[/tex]
Formula for area of sector is
[tex]A=\dfrac{1}{2}\theta r^2[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.
[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]
[tex]56\pi=\dfrac{64}{2}\theta[/tex]
[tex]56\pi=32\theta[/tex]
[tex]\dfrac{56\pi}{32}=\theta[/tex]
[tex]\dfrac{7\pi}{4}=\theta[/tex]
Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].
Find the volume of a pyramid with a square base, where the area of the base is 19.6\text{ cm}^219.6 cm 2 and the height of the pyramid is 12.7\text{ cm}12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
V = 83.0 cm^3
Step-by-step explanation:
To find the volume of the squared pyramid you use the following formula:
[tex]V=\frac{1}{3}Bh[/tex] ( 1 )
B: base of the pyramid = 19.6 cm^2
h: height of the pyramid = 12.7 cm
you replace the values of B and h in the equation ( 1 ):
[tex]V=\frac{1}{3}Bh=\frac{1}{3}(19.6cm^2)(12.7cm)\\\\V=82.97cm^3\approx 83.0cm^3[/tex]
hence, the volume of the pyramid is 83.0 cm^3
Fine the slope of a line parallel to y=-2/5x+4/5
5/2
2/5
-5/2
-2/5
Answer:
-2/5
Step-by-step explanation:
Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.
Hope this helps!
Answer:
-2/5
Step-by-step explanation:
The slope of the parallel line is going to be the same as the original line.
Who is the founder of [Hoonigan]?
Answer: Ken Block ??
Step-by-step explanation:
Answer:ken block
Step-by-step explanation:
Please help me with this question I will mark you as the best answer if correct
Answer:
Line : y = ax + b, passes (0, 3) and (2, -3)
=> b = 3
=> 2a + b = -3
=> a = -6/2 = -3
=> Slope a = -3
=> Option D is correct
Hope this helps!
:)
Answer:
D is the answer
Step-by-step explanation:
Slope = rise / run
Slope = y2-y1 / x2-x1
Where coordinates are
(0,3),(2,-3)
So x1=0,y1=3 , x2=2 , y2= -3
Slope= -3-3/ 2-0
Slope = -6/2
Slope = -3
Question 24
.........................................................
Answer:
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST AND 35 POINTS!!!
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Let y= be the number
x = other number
y =2x+3
y = 2(x+1)
Set the two equations equal
2x+3 = 2(x+1)
2x+3 =2x+2
Subtract 2x from each side
3 =2
This is never true so there are no solutions
Answer:
Third option
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Let n be the smaller number and N be the larger number
N = 2n + 3
N = 2(n + 1)
2n + 3 = 2n + 2
3 = 2 is a false statement
So, no solution
Math question down below
Answer:
x≥7
Step-by-step explanation:
Since 7 is a closed circle, that means that the symbol will be ≤ or ≥. We can see that the graph is going to the right which means that it is >. So the final inequality is x≥7.
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
sry before I got confused
x>=7
x is greater or equal (greater than and equal to 7)
I need help on this question
Answer:
im sorry but google?
Step-by-step explanation:
i guess
Answer:
4.5 pi
Step-by-step explanation:
First find the area of a circle with the same radius
The diameter is 6 so the radius is 1/2 d = 1/2(6) =3
A = pi r^2
A = pi (3)^2
A = 9 pi
This is a semi circle of half a circle so the area is 1/2
A of the semicircle
9/2 pi
4.5 pi
Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84
Answer: the answer choice “d” is correct
Step-by-step explanation:
because the different symbols mean different things and yeah
Answer:
D
Step-by-step explanation:
lesser value ------- < --------This side bigger value {open mouth}
78 < 81
81 is bigger than 78
Will mark brainliest!
Answer:
48
Step-by-step explanation:
6*8 = 48
I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.
Answer:
Your answer is 48 sq. ft.
Step-by-step explanation:
Why? Because A= L(W) Therefore, A= 8(6)=48
The temperature in a greenhouse should be 65 degrees or higher. One morning, the heater stopped working. The temperature dropped 2 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?
Answer:
34.35 liters
Step-by-step explanation:
HELP ASAP
You have prizes to reveall Go to your game board.
PQRS ~ KJIH.
What is the similarity ratio of PQRS to KJIH?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
Answer:
NO se sorry presta atención para que no andes preguntas
