Answer: x/5 ≥ -19
Step-by-step explanation:
Which of the following is the solution to the compound inequality below? 5+ x >3 or 6x +1 <-29
The solution to the compound inequality is x > -2 and x < -5, or (-∞, -5) ∪ (-2, ∞).
Explanation:To find the solution to the compound inequality, we need to solve the individual inequalities separately and then find the intersection of their solution sets.
First, solve the inequality 5 + x > 3:The solution to the compound inequality is the intersection of the solution sets of the individual inequalities, so the solution is x > -2 and x < -5. To express this in interval notation, we write (-∞, -5) ∪ (-2, ∞).
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Which number is IRRATIONAL?
A)
64
B)
81
C)
96
D)
144
Answer:B) 81
Because it cannot be divided into two equal figures.
Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased
his mile time by 25%. What is his mile time now?
Step-by-step explanation:
in two months
Decrease of 25%
so you need to do
25%*12 is 3 minutes
Find the difference from 12 minutes
12-3 is 9 minutes.
therefore, his mile time is 9 minutes in two months
After improving his running speed by 25%, Guy would now run a mile time 9 minutes.
It would take for Guy to run a mile after improving his running speed by 25%. Guy's original mile time was 12 minutes. To find his new mile time, we calculate 25% of 12 minutes, which is 3 minutes.
Then, we subtract that from the original 12 minutes: 12 minutes - 3 minutes = 9 minutes. Therefore, Guy's new mile time, after reducing it by 25%, is 9 minutes.
What is 5x-2.5+6x-3 equivalent to
Answer:
It is equal to
11x-2.5-3e
Answer:
11x-5.5
Step-by-step explanation:
If you combine like terms it will be equivalent still.
5x and 6x can be added together which is 11x
you can also combine -2.5 and -3 which is -5.5
So the product will be 11x-5.5
Hope this helped :)
which shape does NOT have perpendicular
perpendicular lines? Mark your answer.
Answer:
Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines that never touch, perpendicular lines must intersect.
Therefore, the shape with 2 lines that don't intersect/touch each other, is the shape that does not have perpendicular lines.
Two cylinders are similar. The volume of the larger cylinder is 343ft3 and the volume of the smaller cylinder is 125ft3. The height of the smaller cylinder is 5ft. What is the height of the larger cylinder? Enter your answer in the box.
Answer:
The answer would be 7ft.
Step-by-step explanation:
Let the radius of the cylinder be rft. and its height be hft. Again the radius of the larger cylinder is R ft and its height is H ft. Given h = 5 ft.
As the cylinders are similar we can say [tex]R/r[/tex] = [tex]H/h[/tex]
Now the volume of the smaller cylinder is πr²h = 125
and that of larger one is πR²H = 343
SO πR²H/πr²h = 343/125
⇒ H²/h² × H/h = 343/125
⇒ H³/h³ = 7³/5³
⇒ H/h = 7/5
⇒ H = 7/5 × h = 7/5 × 5 = 7ft
Hope this Helped:)
A point that is between 50 and 60 units away from (7,-2) and state the distance between the points
Answer:
the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.
Step-by-step explanation:
a bag is filled with 191 silver coins and 33 gold coins for what is the theoretical probability of pulling out a silver coin
Answer:
191/224
Step-by-step explanation:
1991+33= 224
191/224
Answer:
191/240\
Step-by-step explanation:
one less than 3 times a number is 7
Answer:
x = 8/3
Step-by-step explanation:
3x - 1 = 7
3x = 8
x = 8/3
Answer:
the number is 8/3 (= 2 2/3)
Step-by-step explanation:
let the number be x
"3 times a number" --> 3x
"one less than 3 times a number" --> (3x - 1)
"one less than 3 times a number is 7" --> (3x - 1) = 7 (solve for x)
3x - 1 = 7 (add 1 to both sides)
3x = 7 + 1
3x = 8 (divide both sides by 3)
x = 8/3
What is the slope intercept form of 11x+3y=-32
Answer:
y=−113x−323
Step-by-step explanation:
there u go
write an expression that represents the edge length of jewelry box
Answer:
The cubed-root of v (/v)
Step-by-step explanation:
Like your work on the second question illustrated, the cubed root of v (which is 216) is your expression for the edge length of the box in inches.
Hope this helps!
Step-by-step explanation:
Part A
Since volume of jewelry box is v cubic inches
Therefore,
Answer: Length of edge = v inches
Part B
Answer: 6 inches
Vanessa's cell phone company charges $45 for a monthly fee and $0.03 for each text sent If Vanessa's bill is $76.23, how many texts did Vanessa send?
A.)94
B.)141
C.)1,041
D.)3,974
Answer:
C
Step-by-step explanation:
I chose C and got it right.
a hammer that normally sells for $24 is on sell for $12. what percentage is the discount?
Answer:
50%
Step-by-step explanation:
You can figure out the percentage that it is off by diving the price it is not at (12) by the full amount (24) and then multiplying it by 100 because it is a percent.
(12/24)= 0.5
(0.5)*(100)= 50%
Use the distributive property to write an expression that is equivalent to each given expression.
-3(2x - 4)
Answer:-6x+12
Step-by-step explanation:-3 • 2x = -6x
-3 • -4 = 12. Distribute the -3 to both numbers in the parentheses
A person buys 3 shirts for 42.00 how much would 8 shirts costs at that same price
Answer:
$112
Step-by-step explanation:
fraction between - 3/4 and - 1/3
8 bags of potato chips ,5 bags of popcorn, 2bags of pretzels and 1 bag of cheese puffs if a student selects 1 bag at random find the probability that it it is a bag of potato chips or a bag of pretzels
Answer:
10/16
Step-by-step explanation:
Simplified: 5/8
A student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels is 0.625.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
There are 8 bags of potato chips, 5 bags of popcorn, 2 bags of pretzels and 1 bag of cheese puffs.
The number of bag of potato chips and bag of pretzels,
= 8 + 2
= 10
If a student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels:
The probability = number of favorable outcomes / total outcomes
The probability = 10 / 16
The probability = 5/8
The probability = 0.625
Therefore, the probability is 0.625.
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the root of quadratic equation are (3-√3) and (3+√3). find its equation
Answer: [tex]x^{2} - 6x +6 = 0[/tex]
Step-by-step explanation:
The formula for finding quadratic equation is given as :
[tex]x^{2}[/tex] - sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots implies :
(3-√3)+(3+√3) =6
product of roots implies :
(3-√3) x (3+√3) = 9 +[tex]3\sqrt{3}[/tex] - [tex]3\sqrt{3}[/tex] - 3
(3-√3) x (3+√3) = 6
substituting into the equation we have:
[tex]x^{2} - 6x +6 = 0[/tex]
The linear equation y=2x represents the cost y for x pounds of apples.Which ordered pair lies on the graph of the equation?
Answer:(1,2), (2,4), (3,6), and alot more here is the graph so you can see!
Step-by-step explanation: hope this helps have a great day!
Multiply across +combine like terms
[tex](5x+2)(7x-2)[/tex]
Applying distributive property:
[tex]5x\cdot \:7x+5x\left(-2\right)+2\cdot \:7x+2\left(-2\right) \\ \\ 35x^2-10x+14x-4[/tex]
Combining like terms:
[tex]\boxed{35x^2+4x-4}[/tex]
Case 3.[tex](5p-5)(7p+6)[/tex]
Applying distributive property:
[tex]5p\cdot \:7p+5p\cdot \:6+\left(-5\right)\cdot \:7p+\left(-5\right)\cdot \:6 \\ \\ 35p^2+30p-35p-30[/tex]
Combining like terms:
[tex]\boxed{35p^2-5p-30}[/tex]
Case 4.[tex](n-7)(3n+1)[/tex]
Applying distributive property:
[tex]n\cdot \:3n+n\cdot \:1+\left(-7\right)\cdot \:3n+\left(-7\right)\cdot \:1 \\ \\ 3n^2+n-21n-7[/tex]
Combining like terms:
[tex]\boxed{3n^2-20n-7}[/tex]
The figure below shows the result of each case.
A mother gives birth to a 9 pound baby. Every 4 months, the baby gains 2 pounds.
If x is the age of the baby in months, then y is the weight of the baby in pounds.
Find an equation of a line in the form y = mx + b that describes the baby's weight.
Answer:
y=2/4x+9
Step-by-step explanation:
A circular path 2 feet wide has an inner diameter of 950 feet. How much farther is it around the outer
edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for it.
The outer edge of the path is
feet farther around than the inner edge.
Answer: 12.56 feet
Step-by-step explanation:
Given: The width of the circular path= 2 feet
The inner diameter of circular path= 150 feet
Therefore, the inner radius of circular path=
Now, the outer radius= 75+2=77 feet
We know that the circumference=
Inner circumference=
Outer circumference=
The difference=
Hence, the outer edge of the path is 12.56 feet farther than the inner edge
Your graphing the speed your car goes on the interstate from the time you enter the ramp until you arrive at the next exit ramp 6 miles away. The speed of the highway is 70 mph. The X axis represents time and Y represents speed. The graph has five tick marks on the X axis and 10 tick marks on the Y axis. What would be a good scale for each axis?
Answer:
1 minute on the x-axis; 10 mph on the y-axis
Step-by-step explanation:
The distance between exit ramps is less than 6 miles and since you are traveling at 70 mph on the highway you should get there in less than 5 mins, so the scale on the x-axis should be 1 minute. Since you have 10 tick marks on the y-axis and will be going at a speed of 70 mph at some point, the scale on the y-axis should be 10 mph (100 mph total). A good scale would be 1 minute on the x-axis; 10 mph on the y-axis.
Answer:
1 minute on the x-axis; 10 mph on the y-axis
Step-by-step explanation:
How do you factor the common factor out of 30x^2-12x
I need help fast (26 POINTS!!)
What’s the answer to this?
Answer:
P'(-3, 5)
Step-by-step explanation:
The transformation for a 90° rotation CCW is ...
(x, y) ⇒ (-y, x)
(5, 3) ⇒ (-3, 5)
The coordinates of the rotated point are (-3, 5).
If 3 hamburgers cost $4.20, then how much does 1 hamburger cost?
Answer:
$1.40
Step-by-step explanation:
Divide 4.20 by 3.
Answer:
$1.4
Step-by-step explanation:
The price of one hamburger will be equal to the total price of the hamburgers divided by the number of hamburgers .
Therefore $4.20/3
$1.4
So each hamburger cost $1.4
Tom rented a truck for one day. There was a base fee of 19.95 , and there was an additional charge of 85 cents for each mile driven. Tom had to pay 216.30 when he returned the truck. For how many miles did he drive the truck?
Answer:
231 miles.
Step-by-step explanation:
Tom rented a truck with a base fee of 19.95. You will subtract this from the total since you just want to get the mileage.
Tom is getting charged .85 cents per mile driven.
Tom payed 216.30 subtotal minus the 19.95 base fee since we are trying to only see how many miles he drove.
(216.30-19.95=196.35) This will be total for each mile. All we need to do is divide to get the total of miles
(196.35÷.85= 231)
231 is the number of miles Tom drove.
Is 5(2x-3y) and 10x-3y equivalent?
Answer:
No
Step-by-step explanation:
Apply the distributive property to 5(2x - 3y):
Multiply 5 by each term inside the parentheses.
5(2x - 3y) = 10x - 15y
The other expression is 10x - 10y.
The terms 10x in both expressions are equal.
Since the term -15y is not equal to the term -10y, the expressions are not equivalent.
Jacob copies 30% of a document. He copies 8 pages. Write the number of pages in the
document.
Answer:
27
Step-by-step explanation:
Number of documentsjacob copies 30% of a document which is 8 pages
we can solve this using cross multiplication
30 % : 8
100% : x
30%x = 100%*8
30% x = 8
x = 8/ 30%
x = 26.667
to 2sf
number of pages in the documents 27