Answers
Answer:
x = 1/2 thus Line 3 is false
Step-by-step explanation:
Solve for x:
10 - 2 x = 14 x + 2
Hint: | Move terms with x to the left hand side.
Subtract 14 x from both sides:
10 + (-2 x - 14 x) = (14 x - 14 x) + 2
Hint: | Combine like terms in -2 x - 14 x.
-2 x - 14 x = -16 x:
-16 x + 10 = (14 x - 14 x) + 2
Hint: | Look for the difference of two identical terms.
14 x - 14 x = 0:
10 - 16 x = 2
Hint: | Isolate terms with x to the left hand side.
Subtract 10 from both sides:
(10 - 10) - 16 x = 2 - 10
Hint: | Look for the difference of two identical terms.
10 - 10 = 0:
-16 x = 2 - 10
Hint: | Evaluate 2 - 10.
2 - 10 = -8:
-16 x = -8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -16 x = -8 by -16:
(-16 x)/(-16) = (-8)/(-16)
Hint: | Any nonzero number divided by itself is one.
(-16)/(-16) = 1:
x = (-8)/(-16)
Hint: | Reduce (-8)/(-16) to lowest terms. Start by finding the GCD of -8 and -16.
The gcd of -8 and -16 is -8, so (-8)/(-16) = (-8×1)/(-8×2) = (-8)/(-8)×1/2 = 1/2:
Answer: x = 1/2
Related Questions
Evaluate the following expression for the given values of the variables. Please explain i’m really struggling with this! 3m - 4n; For m= -2 and n= -3 A) -6 B) 6 C) -18 D) 18
Answers
Answer:
Hey there!
Given Expression: 3m-4n
Substitute: 3(-2)-4(-3)
Solve: -6+12
Simplify: 6
6 should be your final answer.
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \sf{ \huge{ \boxed{6}}}}} [/tex]Option B is the correct option.
Step-by-step explanation:
Given, m = -2 and n = -3
Given expression : 3m - 4n
If the value of variables of algebraic expressions are given, the value of the term it expression can easily obtained by replacing the variables with numbers.
Let's solve:
[tex] \sf{3m - 4n}[/tex]
Plug the values of m and n
[tex] \sf{ = 3 \times ( - 2) - 4 \times ( - 3)}[/tex]
Multiply
[tex] \sf{ = - 6 - ( - 12)}[/tex]
When there is a ( - ) in front of a parentheses, change the sign
[tex] \sf{ = - 6 + 12}[/tex]
Calculate
[tex] \sf{ = 6}[/tex]
Hope I helped!
Best regards!!
Is 9.56556556... rational or irrational explain
Answers
Answer: Irrational
Step-by-step explanation:
It cannot be expressed as a ratio of two integers
Answer: Irrational
Step-by-step explanation: Irrational numbers are real numbers that, when expressed as a decimal, go on forever after the decimal and never repeat. Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. ... When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.
Hope this helps^^
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
Answers
Answer:
a/b tends to an infinite value
Step-by-step explanation:
If If a is an arbitrary nonzero constant, and we are to look for a/b as b approaches zero, we can represent this statement using limits. The statement is expressed as:
[tex]\lim_{b \to 0} \dfrac{a}{b}[/tex]
Substituting b = 0 into the function
[tex]= \dfrac{a}{0} \\\\= \infty \\\\\lim_{b \to 0} \dfrac{a}{b} = \infty\\ \\\\[/tex]
Since the limits of a tends to infinity as b tends to zero hence we can conclude that If a is an arbitrary nonzero constant then a/b tends to infinity or is undefined as b approaches 0
Arrange 0.1, 0.25, 0.15, 0.5 in ascending order
Answers
Answer:
0.1, 0.15, 0.25, 0.5
Step-by-step explanation:
0.1, 0.15, 0.25 ,0.5
Please mark brainliest :) have a nice day
Jason worked to earn $298.45 and William worked to earn $190.00. If the
both earn $6.35 per hour, how many hours did Jason work?
Answers
Answer:
47
Step-by-step explanation:
298.45/6.35=47 its ez just some division
Answer:
47
Step-by-step explanation:
298.45/6.35= 47
Determine what type of model best fits the given situation: The temperature of a cup of coffee decreases by 5 F every 20 minutes.
Answers
Answer:
A first-order polynomial best fits the given situation.
Step-by-step explanation:
The statement indicates a constant rate of change in a given time interval, so the model that best fits the given situation is a first-order polynomial model, which is a generalized form of a model with direct proportionality. That is:
[tex]T = T_{o} + r \cdot t[/tex]
Where:
[tex]T[/tex] - Current temperature, measured in Fahrenheit degrees.
[tex]T_{o}[/tex] - Initial temperature, measured in Fahrenheit degrees.
[tex]r[/tex] - Temperature rate of change, measured in Fahrenheit degrees per minute.
[tex]t[/tex] - Time, measured in minutes.
The statement describes the temperature rate of change, which is equal to:
[tex]r = \frac{5\,^{\circ}F}{20\,min}[/tex]
[tex]r = \frac{1}{4}\,\frac{^{\circ}F}{min}[/tex]
An amoeba divides to form two amoebas after one hour. One hour later, each of the two
amoebas divides to form two more. Every hour, each amoeba divides to form two more.
1. How many amoebas are there after 1 hour?
2. How many amoebas are there after 2 hours?
3. Write an expression for the number of amoebas after 6 hours.
Answers
Step-by-step explanation:
Given that the number of amoeba is 1
in 1 hour it divides to form 2
1 hour later (2 hours): 1 amoeba(forms 2), 1 amoeba(forms 2)= 4
1 hour again(3 hours): 1=2,1=2,1=2,1=2 hence a total of 8 after 3 hours
Question and answers
1. How many amoebas are there after 1 hour
=2 amoebas
2. How many amoebas are there after 2 hours
=4 amoebas
3. Write an expression for the number of amoebas after 6 hours.
let the number of amoeba be y, and the time be n
so in 6 hours n= 6
[tex]y=2^n[/tex]
[tex]y= 2^6\\\\y= 64 amoebas[/tex]
What is the area of a rectangle that is 3.1 cm wide and 4.4 cm long?
Answers
Answer: 13.64 cm squared
Step-by-step explanation: Area of a rectangle is l x w so 3.1 x 4.4 = 13.64
Point A (-2,-10) is reflected over the x-axis. Write the coordinates of A'. * (2.-10) O (2.10) O (-2,-10) (-2, 10) Send me a copy of my responses. Submit
Answers
Answer:
(2, -10)
Explanation:
Reflection over the x-axis puts a negative sign on the x value.
Answer:
-2,10
Step-by-step explanation: i took the test and when doing this you only change the y but keep the x.
brainlist if answer correct:
Two cars start out at the same point and at the same time one starts driving north while the other starts driving east at a speed that is 10 mph faster than the car driving north. 12 hours after the cars start driving they are 600 miles apart. What was the speed of each car?
Answers
Let x be the speed of the first car in miles per hour. After 12 hours it will have gone 12x miles. The other car, driving east, has speed x+ 4. After 12 hours it will have gone 12(x+ 4) miles. Again by the Pythagorean theorem,
(12x)^2+(12(x+4)^2=600^2. Solve that equation for x.
a rectangle has a width w and it's length is 3w-2. if the area is 65ft^2, find the length and width of the rectangle.
Answers
Answer:
Width = 5
Length = 13
Step-by-step explanation:
Area of a rectangle:
=> L x W = Area
After knowing this, we could find the factors of 65
=> 65 = 5 x 13, 1 x 65
So, the only way is 5 x 13.
So, Width = 5
Length = 13
Let's check whether our answer is correct.
=> (3w - 2) * w = 65
=> (3 (5) - 2) * 5 = 65
=> (15 - 2) * 5 = 65
=> 13 * 5 = 65
=> 65 = 65
So, our answer is correct.
Aubrey prepared 15 kilograms of dough after working 5 hours. How many hours did Aubrey work if she prepared 18 kilograms of dough?
Answers
Answer:
6 hours
Step-by-step explanation:
Set up a proportion:
15kg/5 hrs = 18kg/x hrs
Cross multiply:
5(18)=15x
90 = 15x
Divide by 15:
90/15 = x
6 = x
Answer:
21
Step-by-step explanation:
James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially had 202020 tokens, and the game costs the same number of tokens each time. The number ttt of tokens James has is a function of ggg, the number of games he plays. Write the function's formula.
Answers
Answer:
t(g)= -4g + 20
Step-by-step explanation:
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays
Solution
Let
g=No. of games James plays
t= No. of tokens James has.
Find the slope using
y=mx + b
Where,
m = Slope of line,
b = y-intercept.
Before James started playing the games, he has a total of 20 tokens.
That is, when g=0, t=20
After James played the games 3 times, he has 8 tokens left
That is, when g=3, t=8
(x,y)
(0,20) (3,8)
m=y2-y1 / x2-x1
=(8-20) / (3-0)
= -12 / 3
m= -4
Slope of the line, m= -4
y=mx + b
No. of tokens left depend on No. of games James plays
t is a function of g.
t(g)
t(g)= -4g + 20
Answer:
-4g + 20
Step-by-step explanation:
I did it on khan and this was right
Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the perimeter of Quadrilateral B?
Answers
Answer:
Look below
Step-by-step explanation:
Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12
The shortest of B is 2
Find the scale factor of the A to B
6 -> 2
6/2 = 3
Scale factor is 3
Now divide all the sides by scale factor
6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4
Add them all together to get the perimeter
2+3+3+4 = 12
Perimeter of B is 12
In your gym class, your teacher can create teams of 4 for a relay race and have no students left over.The next day, your teacher creates teams of 5 for dodge ball and has no students left over. What are some possible numbers of students in your class
Answers
Answer: 20,40,60,80,100
Step-by-step explanation:
The possible numbers has be the multiples of 5 and 4 in other words the LCM.
The LCM of 5 and 4 are,
20,40,60, 80,100 ....
Can someone please help me with this question, I will mark branliest if it’s correct
Answers
x=1 y= 2
3(x+2y)-2x+10 =
Answers
Answer: 23
Step-by-step explanation:
What is 5 ∙ P ∙ 2 Simplified?
Answers
Solve for x:2/7(x − 2) = 4x
Answers
Answer:
[tex]x = - \frac{2}{13} [/tex]Step-by-step explanation:
[tex] \frac{2}{7} (x - 2) = 4x[/tex]Multiply through by 7 inorder to clear out the fraction
That's
[tex]2 \times \frac{2}{7} (x - 2) = 4x \times 7[/tex]We have
[tex]2(x - 2) = 28x[/tex]Multiply the terms in the bracket
That's
2x - 4 = 28x
Subtract 28x from both sides
We have
2x - 28x - 4 = 28 - 28x
Simplify
- 26x = 4
Divide both sides by - 26
That's
[tex] \frac{ - 26x}{ - 26} = - \frac{4}{26} [/tex]We have the final answer as
[tex]x = - \frac{2}{13} [/tex]Hope this helps you
LAST QUESTION -4/5 divided by (-7/6)
Answers
Answer:
24/35
Step-by-step explanation:
(I posted an explanation on your previous question explaining how to do these problems. You can go read that if you want because my explanation applies to any question in this concept.)
solve 10^2n-6=10,000
Answers
Answer:
[tex]\Large \boxed{{n=5}}[/tex]
Step-by-step explanation:
10^2n-6 = 10,000
Make 10,000 with base 10.
10^2n-6 = 10^4
Cancel same bases.
2n-6 = 4
Add 6 to both sides.
2n = 10
Divide both sides by 2.
n = 5
Answer:
[tex]\huge\boxed{n = 5}[/tex]
Step-by-step explanation:
[tex]10^{2n-6} = 10,000[/tex]
Write 10,000 as a base of 10
[tex]10^{2n-6} = 10^4[/tex]
Comparing both sides , we get:
[tex]2n - 6 = 4[/tex]
Adding 6 to both sides
2n = 4+6
2n = 10
Dividing both sides by 2
n = 10 / 2
n = 5
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works. What does the flat pay of $25 represent in this situation? Dependent variable Independent variable Intercept Slope
Answers
Answer:
The flat pay $25 represents the interceptStep-by-step explanation:
To answer this question we need to first understand and compare it with the equation of straight line.
i.e [tex]y= mx+c[/tex] which is the equation of line
where m= slope
y= dependent variable
x= independent variable
c= intercept
Given
[tex]y= 25+5h[/tex]
comparing both expression we can see that
25 corresponds to c which is the intercept
The flat pays $25 represent the intercept.
Given that,
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works.Based on the above information, the calculation is as follows:
y = mx + c
where m= slope
y= dependent variable
x= independent variable
c= intercept
And,
y = 25 + 5h
So it is an intercept
Learn more: https://brainly.com/question/20492533?referrer=searchResults
what is 5/8 minus 3/10
Answers
Answer:
13/40
Step-by-step explanation:
5/8 - 3/10
get a common denominator of 40
5/8*5/5 - 3/10 *4/4
25/40 - 12/40
13/40
Answer:
13/40
Step-by-step explanation:
We can find the lowest common multiple of 8 and 10, so that the two fractions will have the same denominator.
The LCM of 8 and 10 is 40, so we can rewrite 5/8 as 25/40 by multiplying the numerator and denominator by 5, and rewrite 3/10 as 12/40 by multiplying the numerator and denominator by 4.
This makes the subtraction easier, as we find 25/40 - 12/40.
We get (25-12) / 40, or 13/40.
15) Luke needs to fix the given marble slide. Explain what changes Luke needs to make to the given equation
to successfully capture all the stars.
VALO
TTTTTT
Answers
onde esta a altenaativas
In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student who
has an A is a female?
Answers
Answer:
5/13
Step-by-step explanation:
number of female students who have an A: 5
total number of female students: 13
The probability that a student who has an A is a female is 3/8
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're specified a frequency table as:
Female Male
Has an A 3 5
Does not have an A 8 13
We want to get P(Student is female if its given that student has an A).
Symbolically, we need P(Female | Has an A).
P(Student is female | Student has an A) = P(Student is female ∩ Student has an A) / P(Student has an A)
Now, P(Student is female ∩ Student has an A) = n(Student is female∩ Student has an A) / n(all type of students) = 3/(3+5+8+13) = 3/29
Also, P(Has an A) = n(has an A)/ n (All type of students) = n(has an A)/29
Since n(has an A) = number of students having A = females having A + males having A = 3+5 = 8
Thus, P(Has an A) = 8/29
Thus, we get:
P(Female | Has an A) = P(Female ∩ Has an A) / P(Has an A) = [tex]\dfrac{3/29}{8/29} = \dfrac{3}{8}[/tex]
Thus, the probability that a student who has an A is a female is 3/8
Learn more about probability here:
brainly.com/question/1210781
Help needed ASAP will give brainliest! Pls help me
Answers
Answer:
1740 N
Step-by-step explanation:
To find the force, you need to multiply the mass by the acceleration.
(60.0 kg) × (29.0 m/s²) = 1740 N
The force will be 1740 N.
The function y = 4/5x - 6 is shifted up 13 units. What is the equation of the new function?
Answers
y = 4/5x + 7
Does x=-3 fall on the interval [-1, ♾)? Yes or no and why:
Answers
Answer:
Yes
Step-by-step explanation:
All numbers between 1 and 6 are intervals
y = 4x2 - 16 has how many real roots?
A. 0
B. cannot be determined
C.1
D.2
Answers
Answer:
2 real roots
Step-by-step explanation:
y = 4x2 - 16
Set equal to zero
0 = 4x2 - 16
Add 16 to each side
16 = 4x^2
Divide by 4
16/4 = 4x^2/4
4 = x^2
Take the square root of each side
sqrt(4) = sqrt(x^2)
±2 =x
There are 2 real roots
Simplify the expression 3a + b, when a=1.4 -2x and b=-0.2x + 1.7*
Answers
Answer:5.9-6.2x
Step-by-step explanation:
a=1.4-2x
b=-0.2x+1.7
3a+b
=3(1.4-2x)+(-0.2x+1.7)
=4.2-6x-0.2x+1.7
=4.2+1.7-6x-0.2x
=5.9-6.2x
Answer:
Step-by-step explanation:
3a + b
a = 1.4 - 2x
b = -0.2x + 1.7
3 ( 1.4 - 2x ) + -0.2x + 1.7
= 4.2 - 6x - 0.2x + 1.7
= 4.2 + 1.7 - 6x - 0.2x ( by rearranging the like terms )
= 5.9 - 6.2 x
hope this helps
plz mark as brainliest!!!!!!!!