Answer: 18≤n≤38 is absolute value inequality for the problem.
Step-by-step explanation:
Given situation:- Half of a number n is at most 5 units from 14
that means the difference between 14 and half times n is less than 5
[tex]\Rightarrow |14-\frac{1}{2} \times n|\leq 5\\\Rightarrow|2( 14-\frac{1}{2} \times n)|\leq2(5)\\\Rightarrow|2(14)-2(\frac{1}{2} \times n)|\leq2(5)\ \text{(Multiplying 5 on the both sides)}\\\Rightarrow|\ 28-n|\leq10\\\Rightarrow\ 28-n\leq10\ or\ -(28-n)\leq10\\\Rightarrow\ n=28-10=18\ or\ n=28+10=38\\(i.e.)\ 18\leq\ n\leq \ 38[/tex]
⇒18≤n≤38 is absolute value inequality for the problem.
So if a number is divisible by 2, then the number is even.
Is this biconditional or is there a counterexample?
Biconditional means they can both be the hypothesis and the conclusion.
If a number is divisible by 2, then the number is even. TRUE
If a number is even, then it is divisible by 2. TRUE
Since both statements are true, then it is a biconditional statement.
Answer: Biconditional
In 1 hour how many more times does a rabbits heart beat than a dogs rabbits heart beat per 1 minute 212 dogs heart beat per 1 minute
Answer: In 1 hour, 12720 more times rabbit's heart beat than a dog's rabbits heart beat
Step-by-step explanation:
Since we have given that
Rabbit's heart beat in 1 min 212 times more than dog's heart beat in 1 min.
So, in 1 hour , we get,
[tex]1\text{ hour }= 60\text{ minutes}\\so, heartbeat = 212\times 60=12720[/tex]
So, in 1 hour, 12720 more times rabbit's heart beat than a dog's rabbits heart beat .
To determine how many more times a rabbit's heart beats than a dog's in an hour, multiply the rabbit's beats per minute by 60 to get the hourly beat total, and do the same for the dog. Subtract the dog's total from the rabbit's to find the difference. Assuming a dog's heart rate of 70 beats per minute, a rabbit's heart beats 8,520 more times per hour than a dog's.
To calculate how many more times a rabbit's heart beats than a dog's in one hour, we first need to establish the number of beats per hour for both animals. Since the rabbit's heart beat is 212 times per minute, we multiply this number by 60 (the number of minutes in an hour) to find out the total heartbeats in one hour for a rabbit:
Rabbit heartbeats per hour = 212 beats per minute x 60 minutes = 12720 beats per hour.
Next, we need the same figure for the dog. Without the specific heart rate for the dog, we'll assume a generic heart rate for calculation purposes. For example, if a dog's heart beats 70 times per minute (a common rate for dogs), we multiply by 60:
Dog heartbeats per hour = 70 beats per minute x 60 minutes = 4200 beats per hour.
Now, to find out how many more times the rabbit's heart beats than the dog's, we subtract the dog's heartbeats per hour from the rabbit's:
Rabbit's additional heartbeats = 12720 beats per hour - 4200 beats per hour = 8520 more beats per hour.
PLEASE HELP!!! 90 POINTS FOR 2 MULTIPLE CHOICE QUESTION!!!
The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 17:
Step 1: 5x − 2x − 3 = −2 + 17
Step 2: 5x − 2x − 3 = 15
Step 3: 3x − 3 = 15
Which of these is most likely the next step?
3x = 5
3x = 12
3x = 18
3x = 45
How many solutions can be found for the equation 3x − 2 = 3x + 5?
Zero
One
Two
Infinitely Many
(1) Next likely step is
3x = 18 (adding +3 to both sides of the eq.)
(2) 3x -2 = 3x + 5
simplify:
3x-3x = 5+2
0 = 7
This is never true, no matter what value of x is. So there is no (or zero) solution.
The answer is "Zero"
Answer:
3x=18
Step-by-step explanation:
3x-3=15
+3 +3
3X=18
second one is: 3x-2=3x+5
+2 +2
3x=3x7
+3x +3x
6X=7
13 POINTS Since the slope of a vertical line is undefined, is it possible for vertical lines to be parallel.
Answer:
Yes, it is possible for vertical lines to be parallel.
Step-by-step explanation:
If you have two vertical lines- say one at x=4 and one at x=5, the x coordinate will always equal either 4 or 5. Since 4 and 5 are not the same number, the two lines will never touch, making them parallel.
Vertical lines are considered parallel because they run straight up and down, do not intersect, and maintain the same distance apart, despite having an undefined slope.
Yes, it is possible for vertical lines to be parallel. By definition, parallel lines are two or more lines that never intersect and are always the same distance apart. While the slope of a vertical line is undefined because it would require dividing by zero (as there is no change in the x-value), this does not prevent vertical lines from being parallel. In fact, all vertical lines are parallel to each other because they all run straight up and down, and so they will never meet, regardless of the fact that we cannot assign them a numerical slope value.
An example of this can be seen when considering two vertical lines in a coordinate plane, such as x = 1 and x = 5. Both lines are straight up and down, they do not intersect, and the distance between them is consistent along their entire length, fulfilling the criteria for being parallel lines.
Write (0,7) and (8,-2) in slope-intercept form
A baker bought some flour. He used 2/5 of the flour to make bread and used the rest to make batches of muffins. If he used 16 lb. of flour making bread and 2/3 lb. for each batch of muffins, how many batches of muffins did he make?
Let’s start out by what we already know. He used 2/5 of flour to make bread and he used 16 Ibs to make bread. This implies that the amount is (2/5)x=16.
2/5x=16
X= 5 x 16/2
X= 40
Since he used 16 Ibs of flour for bread, the rest are for the muffins, which is around 24 Ibs.
We know that each thing of muffins will use 2/3 Ibs of flour.
24/2/3
24/1/2/3
24/1 x 3/2 = 36
36 is the answer to your question. :)
During one season a basketball player attempted 414 shots and made 174 of them what fraction of the shots did the player make write your answer in simplest form
Attempted - 414 shots,
Made - 174 shots,
then fraction of the shots the player made is
[tex]\dfrac{174}{414}.[/tex]
Simplify it
[tex]\dfrac{174}{414}=\dfrac{87}{207}.[/tex]
Answer: in simplest form the fraction is [tex]\dfrac{87}{207}.[/tex]
T=gr+gvt solve for g
On the right side, both terms contain g, so we can factor it out
T = g(r+vt)
Now, to get g by itself, divide by the things in parentheses
g= T/(r+vt)
To solve the equation T=gr+gvt for g, you can factor out g from the right side, obtaining T=g(r+vt). Then, dividing both sides by (r+vt) will isolate g, resulting in g = T/(r+vt).
Explanation:To rearrange the equation T=gr+gvt to solve for g, you need to factor out g from the right side of the equation. Factoring out g, you obtain T=g(r+vt). Dividing by (r+vt) on both sides then gives you the equation for g: g = T/(r+vt).
Here are the steps in detail:
Begin with T=gr+gvt Factor out g from the right side: T=g(r+vt) Divide both sides by (r+vt) to isolate g: g = T/(r+vt) Learn more about Solving Equation here:https://brainly.com/question/17595716
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Please help!! 10 extra points
Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below
The answer is A. This is because you can see Brian's and Kelsey's cars traveled 4 more centimeters every 2 seconds.
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.
It means they are travelling at a constant rate.
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is
[tex]m=\frac{38-34}{3-1}=2[/tex]
It means the Brian's car traveled at the rate of 2 cm per sec.
From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is
[tex]m=\frac{31-27}{3-1}=2[/tex]
It means the Kelsey's car traveled at the rate of 2 cm per sec.
From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is
[tex]m=\frac{33-27}{3-1}=3[/tex]
It means the Geoff's car traveled at the rate of 3 cm per sec.
Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.
Sweet tea has 2 orange picks for every green pick. If 6 of the picks are green,how many orange picks are there?
when multiplying exponents with the same base, add exponents.
true or false?
Don't know if this will help but here :)
Answer:
True
Step-by-step explanation:
We are given that when two variables with same base are multiplied then the exponents will be add.
We have to find that given statement is true or false.
Rule:[tex]a^b\times a^d=a^{b+d}[/tex]
Suppose we have x and [tex]x^2[/tex]
[tex]x\times x^2=x^{1+2}=x^3[/tex]
There are two variable with same base x therefore, the power will be added.
Hence, the statement is true.
Answer:True
Two events, A and B, are independent. If P(A) = 0.3 and P(B) = 0.2, what is P(A and B)?
Answer:0.06
Step-by-step explanation:
As the two events are independent
Therefore
[tex]P(AandB) =P(A)\times P(B) [/tex]
As it is given that [tex]P(A) = 0.3 [/tex] and [tex]P(B) = 0.20 [/tex]
Putting these value we get
[tex]P(AandB) =0.3\times0.2 = 0.06 [/tex]
[tex] P(AandB)= 0.06 [/tex] is the required answer
Answer:
0.06
Step-by-step explanation:
just got it right on edge
if a culture starts out with extactly 50 bacterial cells, how many bacteria will be present after 4 hours?
12.5 is the correct number
Which of the following are equivalent to -7?
What is the current value of a future sum of money called?
A.
current value
B.
present value
C.
future value
Your question:
What is the current value of a future sum of money called?
Answer:
B) Present Value
Although current is a synonym of present, present is the correct meaning. The current value of a future sum of money is called Present Value.
Best Of Luck,
- I.A -
Answer:
The current value of a future sum of money is:
Option: B
B. Present Value.
Step-by-step explanation:
Present value--
In terms of finance the present value is the value in the present of a sum of money or stream of cash flows , in contrast to some future value it will have when it has been invested at compound interest.
Future cash flows are discounted at some rate called as discount rate.
Higher the discount rate lower is the present value of future cash flow.
whats the difference between a proper fraction and an improper fraction 10 POINTS
the difference between a proper fraction and an improper fraction is an improper fraction is a fraction that is bigger then the denominator for example 3/4 is a fraction and 7/4 is an improper fraction
Explanation is provided in the image attached.
I need help on these two! Can annoying explain?
You are solving the two equations for x.
9.
r = 4 + 7x - sx
We need to solve for x. x is only found in the right side. First, just flip the sides to find x only in the left side.
4 + 7x - sx = r
We want all terms with x on the left side, and all terms without x on the right side. Now we subtract 4 from both sides.
7x - sx = r - 4
Factor x in left side.
x(7 - s) = r - 4
Divide both sides by 7 - s.
[tex] x = \dfrac{r - 4}{7 - s} [/tex]
12.
3z + 8 = 12 + 3x - z
Since x is only in the right side, flip the sides.
12 + 3x - z = 3z + 8
We need to isolate x in the left side, so subtract 12 from both sides and add z to both sides.
3x = 3z + 8 - 12 + z
3x = 4z - 4
Divide both sides by 3.
[tex] x = \dfrac{4z - 4}{3} [/tex]
under the sugar act of 1764, for every pound of foreign white sugar purchased, accompanied a tax of 1 pound, 1 shilling, and 1 pence. Fior your purchase pn average 10 pounds of sugar per month, with eah pound costing you $1.00 before taxes. How much are you spending per month on sugar with taxes included?
1 pound=$2.40
1 Shilling=$0.12
1 pence=$0.48
The expression below represents the number of flyers handed out at the school fair by 14 members of the student council, where x is the number of minutes after the first minute of the fair. Assume that each student council member handed out the same number of flyers throughout the fair.
Interpret the meaning of each term in the expression.
A.
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.
B.
The first term indicates that the 14 student council members each handed out 25 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 22 flyers during the first minute of the fair.
C.
The first term indicates that the 14 student council members each handed out 25 flyers during the first minute of the fair. The second term indicates that the 14 members each handed out 22 flyers per additional minute of the fair.
D.
The first term indicates that the 14 student council members each handed out 22 flyers during the first minute of the fair. The second term indicates that the 14 members each handed out 25 flyers per additional minute of the fair.
Answer:
Answer (A)
Step-by-step explanation:
If the expression is indeed [tex]14\cdot 22x+350[/tex] with x representing the number of minutes after the first minute, then the first term, namely:
[tex]14\cdot 22x[/tex]
represents the 14 members handing out 22 fliers per additional minute. And the second term, namely:
[tex]350[/tex]
represents the number of fliers handed out in the first minute, which can be written as 350=14 x 25, so handed out by 14 members, 25 fliers each.
The above said is reflected in the wording of answer (A)
1. The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
(a) Find the cost of admission to the fair. Explain how you found the cost of admission.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain what the coefficient of x and the constant of your linear equation represents.
Answer:
Answer:
A) $18
B) [tex]y=2.50x+18[/tex]
C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.
Step-by-step explanation:
(A)
The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: [tex](\$2.50*15)=\$37.50[/tex]
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be: [tex](\$55.50-\$37.50)=\$18[/tex]
(B)
If [tex]x[/tex] represents the number of ride tickets and [tex]y[/tex] represents the total cost, then the cost for [tex]x[/tex] number of ride tickets is [tex]\$2.50x[/tex]
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: [tex]y=2.50x+18[/tex]
(C)
In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.
And the constant term is 18, which represents the cost of admission to the fair.
The perimeter of a rectangle is
510 centimeters. The ratio of the length to the
width is 3:2. What are the dimensions of this
rectangle?
P = 2(L + W)
510 = 2(L + W) ...divide both sides by 2
510/2 = L + W
255 = L + W
3/5(255) = 765/5 = 153 cm <== length
2/5(255) = 510/5 = 102 cm <== width
I need help on math.
h(x)=8x-10
h( )=62
Simplifying
8x + -10 = 62
Reorder the terms:
-10 + 8x = 62
Solving
-10 + 8x = 62
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 8x = 62 + 10
Combine like terms: -10 + 10 = 0
0 + 8x = 62 + 10
8x = 62 + 10
Combine like terms: 62 + 10 = 72
8x = 72
Divide each side by '8'.
x = 9
Simplifying
x = 9
Answer: h(___9___) = 62
Step-by-step explanation:
How many weeks until all 350 rhinos disappear?
A very simple way to solve this specific problem is acknowledging the fact that the left hand side (L.H.S) is being multiplied by a factor of 10 to get the equation on the right hand side (R.H.S). So, if we multiply the denominator by 10, we'll get the answer, which would be 1 × 10 = 10 weeks.
Hope I could help! :)
What the missing factor is
What is the product of -3 1/2 and -8 7/10 ?
Salinity Cell Diameter
(in micrometers) Lysis?
0.0% N/A Y
0.3% 8.0 μm N
0.6% 7.4 μm N
0.9% 6.6 μm N
1.2% 6.0 μm N
Answer:
30 9/20
Step-by-step explanation:
If y= 14 when x = 8, find y when x = 12
HI!
It's simple. If y = 14 when x = 8, you would divide 14 by 8, giving you 1.75. THen, you would multiply this with 12 to get your x value, 21.
Hope this helps!
Hey mate
Here's your answer
y varies directly as x:
y ~ x or can be also written as y = kx where k is a constant scalar value
given: y = 14 when x = 8
y = kx or
k = y/x = 14/8 = 7/4
k = 7/4
find x when y = 21
y = k*x
x = y/k = 21/(7/4) = 21 *4 /7 = 12
Hope it helps you!
Twice the smaller of two numbers is one half of the large number. The larger number exceeds three times the smaller number by 10. Find the large number.
The larger number is 40. Smaller number is 10.
Let's denote the smaller number as [tex]\( x \)[/tex] and the larger number as [tex]\( y \)[/tex].
According to the problem:
1. "Twice the smaller of two numbers is one half of the larger number" can be represented as:
[tex]\[ 2x = \frac{1}{2}y \][/tex]
2. "The larger number exceeds three times the smaller number by 10" can be represented as:
[tex]\[ y = 3x + 10 \][/tex]
Now we can solve this system of equations. Let's start by substituting the second equation into the first:
[tex]\[ 2x = \frac{1}{2}(3x + 10) \][/tex]
Multiplying both sides of the equation by 2 to eliminate the fraction:
[tex]\[ 4x = 3x + 10 \][/tex]
Subtracting [tex]\( 3x \)[/tex] from both sides:
[tex]\[ x = 10 \][/tex]
Now, substitute [tex]\( x = 10 \)[/tex] into the second equation to find [tex]\( y \)[/tex]:
[tex]\[ y = 3(10) + 10 \][/tex]
[tex]\[ y = 30 + 10 \][/tex]
[tex]\[ y = 40 \][/tex]
So, the larger number is [tex]\( 40 \)[/tex].
Which of the sums below can be expressed as 8(2 + 7)?
2 + 56
10 + 15
16 + 7
16 + 56
The answer to 8(2 + 7) would be 72 so 16 + 56 = 72 as well which means the answer is D) 16 + 56.
Hello there!
The answer should be the last option D.
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓
First you had to calculate with parenthesis
(2+7)=9
8*9
Then multiply and divide from left to right
8*9=72
[tex]8*2=16[/tex]
[tex]8*7=56[/tex]
Answer⇒⇒⇒16+56
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Can anyone help me with this equation?
(x/4) +6 = 14
Subtract 6 from each side:
x/4 = 8
Multiply each side by 4:
x = 32