Answer: 15600 rotations
Step-by-step explanation:
PLEASE HELP
Solve the inequality. | 2x + 3 | < 7
please show all the work
Answer:
[tex]-5<x<2[/tex]
Step-by-step explanation:
We have the inequality:
[tex]|2x+3|<7[/tex]
Use the definition of absolute value:
[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]
Let's evaluate each case individually.
Case 1)
We have:
[tex]2x+3<7[/tex]
Subtract 3 from both sides:
[tex]2x<4[/tex]
Divide both sides by 2:
[tex]x<2\\[/tex]
Case 2)
We have:
[tex]-(2x+3)<7[/tex]
Divide both sides by -1. Since we're dividing by a negative, flip our sign:
[tex]2x+3<-7[/tex]
Subtract 3 from both sides:
[tex]2x<-10[/tex]
Divide both sides by 2:
[tex]x<-5[/tex]
So, our solutions are, from least to greatest:
[tex]\{x|-5, 2\}[/tex]
We can see that our inequality is a greater than.
Remember, when dealing with absolute value:
When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.
When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.
Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.
Our lesser solution is -5. Our greater solution is 2.
So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:
[tex]-5<x<2[/tex]
And we're done!
is 0.3 pi a rational number or a irrational number
Answer:
0.3 is a Rational Number
Step-by-step explanation:
3) Find three consecutive integers such that 3 times
the largest integer is twice the sum of the other two
integers.
Answer:
wepppp
Step-by-step explanation:
Terry is 4 feet tall, and his shadow is 3 feet long. How many feet is it from the top of Terry's head to the top of his shadow's head?.
A rectangle has a side length of four and three fifths inches and a side width of 2 inches. What is the area of the rectangle?
a seven and one fifth in2
b eight and three sevenths in2
c nine and one fifth in2
d nine and five sevenths in2
Answer:
im pretty sure its C not great at math though
Step-by-step explanation:
Respondan esto con todo y Procedimiento Plz me ayudaria muchisimo
Answer: I cant understand what you want think you could put it in English?
Step-by-step explanation:
Consider the equation and its solution.
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
The answer is Division property of equality
Step-by-step explanation:
Answer:
division property of equality
Step-by-step explanation:
Just took the test on edge
Fiona’s mom bought 36 apples for Fiona and her 9 friends to eat. They each ate the same number of apples. Each of them only ate whole apples. How many apples were left over from the 36 her mom bought?
A:0
B:3
C:4
D:6
Answer:0
Step-by-step explanation: because all of the friends will get 4 apples and 4x9 is 36
Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over? Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over?
Answer:
The greatest number of packets the teacher can make with no items left over is 23.
Step-by-step explanation:
Total number of crayons = 92
Total number of sheets of paper = 23
To find the greatest number of packets the teacher can make with no items left over, find Highest Common Factor (H.C.F) of 92 and 23
92 = [tex]2^2[/tex] × 23
23 = 23
So,
H.C.F(92,23) = 23
Therefore, the greatest number of packets the teacher can make with no items left over is 23.
Need help ASAP, Tysm to anyone who responds!
Answer:
320
Step-by-step explanation:
2(-7)²-8(-7)(4)-√4=
98-(-224)-2=
98+224-2=
322-2=
320
4 2/8 As A Improper Fraction
The answer is 17/4 feel free to mark as brainliest:)
TEEHEE HELPP ME PLS PLS PLS PLS???
Answer:
That is true not false dont get confused
PLEASE HELP FAST. EASY POINTS
To find the box to the top left, we can multiple the sides like rectangles. To find the top left box, we can multiply -1 and 0.5y to get -0.5y.
To find the box on the bottom right, we can multiply the sides like rectangles again. To find the bottom right box, we can multiply 24x and 3 to get 72x.
What is an equation in point-slope form of the line that
passes through (-3, -1) and has a slope of 2
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-3, -1) and slope 2
The equation is
[tex]y + 1 = 2(x + 3) [/tex]Hope this helps you
write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-intercept form or using the given points in point-slope form
Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = [tex]\frac{5}{2} x + 3[/tex]
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y = [tex]\frac{5}{2} x + 3[/tex]
From the given equation; slope is [tex]\frac{5}{2}[/tex]
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = [tex]-\frac{2}{5}[/tex]
Since y= 9 and x = -7;
So;
9 = [tex]\frac{-2}{5} x (-7)[/tex] + C
9 = [tex]\frac{14}{5}[/tex] + C
C = 9 - [tex]\frac{14}{5}[/tex] = [tex]\frac{31}{5}[/tex]
Now,
y = [tex]-\frac{2}{5}[/tex]x + [tex]\frac{31}{5}[/tex]
mulitply through by 5;
5y = -2x + 31
If the x-intercepts are (-5,0) and (3.0), then the x-coordinate of the vertex is
Then I also know the equation of the axis of symmetry is
HELP ASAP!!
Solve the equation x² = 5. Round to the nearest tenth.
Determine if the following equation has "One Solution", "No Solutions", or "Infinite Many Solutions".
2 (x + 3) = 6 + 2x
O One Solution
O No Solutions
Infinite Many Solutions
What is 75% of 30 meter
I think the answer is
22.5 meter
it is because 7.5 meter ×4=30m
so 7.5+7.5+7.5=22.5 m
The large rectangle below represents one whole. A large rectangle with 25 equal sections, 11 of which are shaded What percent is represented by the shaded area?
fourty four percent hope this helps !
2.49 Encuentre los errores en cad uno de las siguientes aseveraciones: a) las probabilidades de que un vendedor de automóviles venda 0,1,2 o 3 unidades en un dia dado de febrero son 0.19, 0.38, 0.29 y 0.15. Respectivamente b) la probabilidad de que llueva mañana es de 0.40 y la probabilidad de que no llueva es 0.52 c) las probabilidades de que una impresora cometa 0,1,2,3 o 4 o más errores al imprimir un documento son 0.19, 0.34, -0.25, 0.43 y 0.29 respectivamente. d) al sacar una carta de una baraja en un solo intento la probabilidad de seleccionar un corazón es ¼, la probabilidad deseleccionar una carta negra es ½, y la probabilidad de seleccionar una carta de corazones y negra es de 1/8
Answer:
Step-by-step explanation:
a) Si se suman las probabilidades de venta, es decir:
Probabildad de vender 0 auto ( es decir que no vendió) = 0,19
Probabildad de vender 1 auto = 0,38
Probabildad de vender 2 autos = 0,29
Probabildad de vender 3 autos =0,15
Da por resultado: 1,01
1,01 > 1
Ninguna probabilidad puede ser mayor que
b) LLover y no llover son condiciones excluyentes en relación al evento, es decir en relación a lluvia cualquier día o llueve o no llueve de tal forma
que las dos situaciones conforman el universo completo y deben sumar 1. en este caso el error s que suman 0.92 cando deberían sumar 1
c) No existen probabilidades negativas ( en este caso señalan -0,25 como una probabilidad
d) La probabilidad de sacar una carta de corazones es 1/4 (correcta pues hay la misma cantidad de carta de las cuatro viras tipo ( diamante, trebo, corazones y el otro).
La mitad de las cartas son negras, de tal modo que 1/2 es correcto valor para esta probabilidad.
La probabilidad de que sea corazones y negra s 1/4*1/2 = 1/8
Luego no hay error en esta aseveración
An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term?
Answer:
328
Step-by-step explanation:
[tex]\frac{a}{1-r}[/tex] is the equation for the sum of an infinite geometric series, where [tex]a[/tex] is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. [tex]\frac{209.92}{262.4} = \frac{4}{5}[/tex]
Therefore, [tex]\frac{a}{1-\frac{4}{5}} = 1640[/tex].
This simplifies to [tex]5a = 1640[/tex]
Therefore, [tex]a = 328[/tex]
a turtle traveled 1/10 miles in 1/2 hour, what was the turtles rate in miles per hour
Answer:
.2 mph
Step-by-step explanation:
Express the percent as a decimal.
30\%30%30, percent
Stuck help
PLEASE HELP ME I DONT UNDERSTAND THIS MATH PROBLEM
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
5(x + 2) = 5x + 10
Step 2: Solve for x
Distribute 5x + 10 = 5x + 10Subtract 10 on both sides: 5x = 5xDivide both sides by 5: x = xWe see here that x is infinite amount of solutions. We can plug in any value x and it would render the equation true.
Answer:
Step-by-step explanation:
When you are solving this problem is there is there always a equal answer say like u get 5=5 that would be a solution
What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?
Answer:
y = -3x - 11
Step-by-step explanation:
Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.
Point-slope formula: y - y = m(x - x)
Plug in the slope and point
y - (-5) = -3(x - (-2))
Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.
y + 5 = -3x - 6
Subtract the 5 from both sides
y = -3x - 11
The equation of the line is y = -3x - 11
A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $ 35 comma 900.$35,900. The anticipated profit for the end of the fourth year is $ 44 comma 300.$44,300. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. A. Write a linear function P(x) that expresses profit as a function of time.
Answer:
P(x) = 35,900 + 2,800(x-1)
Step-by-step explanation:
P(x)
P(1) = $35,900
P(4) = $44,300
Difference in profits
P(4) - P(1)
= P(3)
= $44,300 - $35,900
= $8,400
Rate of change per year = $8,400 / 3
= $2,800 per year
The linear equation
P(x) = 35,900 + 2,800(x-1)
Where
x = number of years
Find f(3).
f(x) = x2 + 5x - 9
A) 7
B) 10
C) 9
D) 15
Answer:
f(3) = 15. Correct: D)
Explanation:
Numeric Value of a Function
The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:
[tex]f(x)=x^2+5x-9[/tex]
It is required to find f(3), or the numeric value of f when x=3. Replace x for 3
[tex]f(3)=3^2+5(3)-9[/tex]
[tex]f(3)=9+15-9[/tex]
[tex]f(3)=15[/tex]
A) Incorrect. f(3) is not 7
B) Incorrect. f(3) is not 10
C) Incorrect. f(3) is not 9
D) Correct. f(3) =15 as found above.
please help I will give brainiest 10 points
Answer:
7. it's a or c
8. no solution
9. no solution
Your purchase at the grocery store is $42 and there is an 8% sales tax. What is
the amount of tax
you
will pay?
