Answer: Third option.
Step-by-step explanation:
When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.
To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.
Then, the reciprocal of the fraction [tex]\frac{1}{3}[/tex] is:
[tex]\frac{3}{1}=3[/tex]
Therefore, you can find the quotient of [tex]8[/tex]÷[tex]\frac{1}{3}[/tex] by multiplying [tex]8[/tex] by [tex]3[/tex]:
[tex]8[/tex]÷[tex]\frac{1}{3}=8*3=24[/tex]
When dividing fractions these are the steps you will take:
1. The first number in the expression stays the same (if it is a whole number then you may just place a one in the denominator and keep the numerator as the whole number like so)
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex]
2. Change the division sign into a multiplication sign
[tex]\frac{8}{1}[/tex] × [tex]\frac{1}{3}[/tex]
3. Take the reciprocal (switch the places of numerator and denominator) of the second number in the expression
[tex]\frac{8}{1}[/tex] × [tex]\frac{3}{1}[/tex]
4. Multiply across
[tex]\frac{8*3}{1*1}[/tex]
As you can see to find the quotient of [tex]\frac{8}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] you must multiply 8 by 3 (C)
Hope this helped!
~Just a girl in love with Shawn Mendes
What is the equation of the line parallel to 3x+2y= -4 that goes through the point (4,-1)
Answer:
2y + 3x = 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 2y = - 4 into this form
Subtract 3x from both sides
2y = - 3x - 4 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
• Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{2}[/tex] x + c ← partial equation of parallel line
To find c substitute (4, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{3}{2}[/tex] x + 5 ← in slope- intercept form
Multiply through by 2
2y = - 3x + 10 ( add 3x to both sides )
3x + 2y = 10 ← in standard form
The equation of the line parallel to 3x+2y= -4 goes through the point (4,-1).
3x + 2y = 10 ← in standard form.y = - x + 5 ← in slope- intercept formEquation of lineThe general equation of a straight line exists y = mx + c, where m is the gradient, and y = c exists the value where the line cuts the y-axis. This number c is named the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis stands y = mx + c.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 2y = - 4 into this form
Subtract 3x from both sides
2y = - 3x - 4 ( divide all terms by 2 )
y = - x - 2 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, thus
y = - x + c ← partial equation of parallel line
To find c substitute (4, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - x + 5 ← in slope- intercept form
Multiply through by 2
2y = - 3x + 10 ( add 3x to both sides )
3x + 2y = 10 ← in standard form.
To learn more about Equation of line refer to:
https://brainly.com/question/11552995
#SPJ2
Hanna and Swathi walked several miles for a charity. Altogether they walked more than 14 miles. If Hanna walked 8 miles
then which represents s the number of miles Hanna could have walked?
Answer:
S>6
Step-by-step explanation:
Let us suppose the distance walked by Hanna and swati is represented by H and S.
And total distance travelled is D
D=H+S
D>14
H+S>14
Given H=8
8+S>14
S>6
Hence swati walked more than 6 miles
What are the values of a, b, and c in the quadratic equation 0 =
x2 – 3x - 2?
a = 1, b = 3, c = 2
a=, b = -3,C=-2
a = 1, b = 3, c= 2
a = 1.0= -3, c = 2
Answer:
a=1, b = -3, c=-2
Step-by-step explanation:
The quadratic equation is in the form
a[tex]x^{2}[/tex] + bx +c = 0
Using the given equation
1[tex]x^{2}[/tex] -3x -2 = 0
We can see that
a=1 b=-3 c=-2
División de polinomios(a²+3a+2)÷(a+1)
Answer:
a + 2
Step-by-step explanation:
Given
[tex]\frac{a^2+3a+2}{a+1}[/tex] ← factor the numerator
= [tex]\frac{(a+1)(a+2)}{a+1}[/tex]
Cancel the factor (a + 1) on the numerator/denominator
= a + 2 ← quotient
Please someone help me
Answer:
The correct answer option is D. 5.
Step-by-step explanation:
We are given the following expression where 4 is to be divided by a fraction 1/5:
[tex] 4 [/tex] ÷ [tex]\frac{1}{5}[/tex]
This can also be written as:
[tex]\frac{4}{\frac{1}{5} }[/tex]
Now to find the quotient of this, we will take the reciprocal of the fraction in the denominator to change it into multiplication.
[tex]4 \times \frac{5}{1}[/tex]
Therefore, ignoring the 1 in denominator, we can simply multiply 4 by 5.
Answer:
Hi there!
The answer is last one: 5
Step-by-step explanation:
When ever you are dividing a number by a fraction you always flip the fraction and multiply it, another way of saying it is multiplying by its reciprocal.
Lynne loaned $480 to a friend. The friend paid back the ammount borrowed plus 10% interest. what was the total amount the friend paid to lynne?
Answer:
$480+$48=$528
Step-by-step explanation:
his friend paid him $480 and 10% so,
=10/100*480
=1/10*480
=480/10
=$48
so,his friend paid him $480+$48=$528.
When Steve woke up. His temperature was 102 degrees F. Two hours later it was 3 degrees lower. What was his temperature then?
Answer:
if it was 102 when he woke
e up and lowered then it will be 99 degree fahrenheit then
Final answer:
Steve's temperature decreased by 3 degrees from the original 102 degrees F, which means his temperature two hours later was 99 degrees F.
Explanation:
The student's question involves a basic mathematical operation, specifically subtraction, used to determine a change in temperature over time. Steve originally has a temperature of 102 degrees Fahrenheit. After two hours, his temperature has decreased by 3 degrees.
To find the new temperature, we subtract the decrease from the original:
102 degrees F - 3 degrees F = 99 degrees F.
So, Steve's temperature two hours later would be 99 degrees Fahrenheit.
Given right angle abc, what is the value of tan(A)
Answer:
C
Step-by-step explanation:
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{24}{10}[/tex] = [tex]\frac{12}{5}[/tex]
Which graph shows a dilation?
Answer:
A
Explanation:
In image A the image becomes smaller but doesn't change shape which is what dilation is supposed to be.
Answer:
Option A
Step-by-step explanation:
Which of the following expressions results in 0 when evaluated at x = 4?
A. (x + 6)(x - 2)
B. 4x(x - 6)
C. (x - 10)(x - 4)
D. (x + 4)(x - 10)
Answer:
C
Step-by-step explanation:
x-4 is zero when x=4
so the one that contains the factor (x-4)
C
The container that holds the water for the football team is 1/2 full. after pouring out 5 gallons of water, it is 3/10 full. How many gallons can the container hold?
Answer:
25 gallons.
Step-by-step explanation:
The container that holds the water for the football team is 1/2 full.
After pouring out 5 gallons of water, it is 3/10 full.
The proportion that was poured out is [tex]\frac{1}{2}[/tex] - [tex]\frac{3}{10}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
[tex]\frac{1}{5}[/tex] of the water in the container is equal to 5 gallons
The container therefore holds: 1 × 5 ÷ [tex]\frac{1}{5}[/tex] = 5 × 5 = 25 gallons.
Final answer:
The total capacity of the container is calculated to be 25 gallons, found by using the information that 1/2 to 3/10 of the capacity equals a 5 gallon difference.
Explanation:
We have been given that the container is initially 1/2 full and becomes 3/10 full after pouring out 5 gallons of water.
To find out the total capacity of the container, we can set up a proportion where the difference between the two fractions (1/2 and 3/10) represents the 5 gallons removed.
First, we find a common denominator for the two fractions, which is 10. Now we can say:
1/2 equals 5/10After removing 5 gallons, the container is 3/10 fullThe difference between 5/10 and 3/10 is 2/10, which equates to the 5 gallons poured out. Thus, 2/10 of the container's capacity is 5 gallons, and we can find the full capacity (10/10) by multiplying the 5 gallons by 5 (since 2 × 5=10).
So, the container's total capacity is 5 gallons × 5 = 25 gallons.
what is the nth term of 2,5,8,11,14
Answer:
f(n) = 2 + 3(n-1)
Step-by-step explanation:
Answer:
f(n) = 2 + 3(n-1)
Step-by-step explanation:
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes? m(h) = 5.25h; $11.29 ; $0.43 m(h) = 5.25h; $11.81 m(h) = 2h + 15; $25.50
Answer:
m(h) = 5.25h
$11.81 for 2 hours and 15 minutes
Step-by-step explanation:
Convert 2 hours and 15 minutes to an hour decimal: 2.25 hoursSubstitute 2.25 in for h.Multiply: (5.25)(2.25) = $11.81Charlene's parents deposit $500 in an account on the day she is born. The account earns a high interest rate of 9.2% compounded quarterly because Charlene is not allowed to access the money until her 22nd birthday. How much money will Charlene have on her 22nd birthday?
Answer:
about A+=+2000%281%2B+0.023%2F1%29%5E%281%2A18%29+=+2000%2A1.023%5E18= $3,011.56 thats my math
Step-by-step explanation:
Answer:
$3,698.50
Step-by-step explanation:
When making a compound interest rate this means that the interests generated are taken into consideration when creating new interests in the next period, now there are 4 quarterly periods on a year, this means there are 88 periods in the 22 years that the account will grow, you just have to do the math:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where n is the number of cycles per year and nt is the number of cycles over the years.
We just have to put the values into the formula:
[tex]A=500(1+\frac{.092}{4})^{22*4}[/tex]
[tex]A=500(1+\frac{.092}{4})^{88}[/tex]
[tex]A=$3,698.50[/tex]
What is -2^2? I've been getting mixed results from people against calculators.
Answer:
-4
Step-by-step explanation:
Technically, the negative sign is treated as multiplying by -1, which is then separate from the 2. This equation can also be rewritten as [tex]-1 * 2^2[/tex], which would be simplified to [tex]-1 * 4[/tex] and then [tex]-4[/tex].
It depends on how the parenthesis is like. -(2)^2 will equal -4 while (-2)^2 equals 4. But the answer will most likely be 4 because they tend to make sure to put parenthesis if they want the answer to be -4. (Calculators are programmed differently which is why you're getting mixed answers.)
Which of the following is the result of flipping the graph of the function shown
below over the line y - x?
Answer:
See attachment
Step-by-step explanation:
When the graph of the given function is flipped over the line [tex]y=x[/tex], the coordinates will swap.
The mapping for a reflection in the line [tex]y=x[/tex] is [tex](x,y)\to(y,x)[/tex].
We can observe that one portion of the graph is in the first quadrant [tex](x,y)[/tex]. When we flip this part we will get [tex](y,x)[/tex], which is still in the first quadrant.
Also, when we flip the portion of the graph in the second quadrant (-x,y), we will obtain (y,-x), which is standing for all coordinates in the fourth quadrant.
The image is shown in the attachment.
Explain why there can be no infinite geometric series with a first term of 12 and a sum of 5.
Answer:
Step-by-step explanation:
When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7
PLEASE HELP WILL GIVE BRAINLIEST
Which of the sets of ordered pairs represents a function?
A = {(–5, 5), (–2, 2), (2, –2), (5, –5)}
B = {(4, 2), (3, –2), (9, 4), (11, –3)}
Only A
Only B
Both A and B
Neither A nor B
Answer:
The answer would be, both A. and B.
Answer:
both a and b
Step-by-step explanation:
Find the non permissible replacement for -5/3y
Answer:
0.
Step-by-step explanation:
The nonpermissible replacement of the variable in an expression is the value of x that will make the denominator of the expression zero.
This problem will therefore be written as -5/3y≠0, and it can't be 0, so 0 is your non permissible replacement.
Hope this helps!
Please help ! I will mark you brainliest and give you 35 points
Answer:
13. part a
What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6
13. part b
2xy^4
when the terms are divided, the exponents are subtracted
Answer:
13. part a
What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6
13. part b
2xy^4
when the terms are divided, the exponents are subtracted
Step-by-step explanation:
Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
Answer:
x^2=5-x
x^2+x-5=0
x=-1± √(1)^2-4(1)(-5) /2(1)
-1± √21 /2
Step-by-step explanation:
Answer:
The answer will be A. -1± √21 /2
Step-by-step explanation:
I hope it helps
the lines graphed below are parallel. the slope of the red line is -4/3. what is the slope of the green line
Answer:
-4/3
Step-by-step explanation:
If the lines are parallel, they have the same slope.
Since the red line has a slope of -4/3, the green line will have a slope of -4/3
Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y–intercept. The equations represent the same line. The lines intersect.
ANSWER
The system consists of parallel lines. Both lines have the same slope.
EXPLANATION.
The first equation is
[tex]y = \frac{1}{3} x - 4[/tex]
This equation is in the slope-intercept form.
The second equation is
[tex]3y - x = - 7[/tex]
We write this one too in slope-intercept form so that we can make comparison.
[tex] \implies \: y = \frac{1}{3} x - \frac{7}{3} [/tex]
We can see that both equations have slope
[tex]m = \frac{1}{3} [/tex]
This means the two lines are parallel.
The two lines have different y-intercepts.
Two parallel lines with different y-intercepts will never meet.
The lines will never intersect.
Answer:
The true statements are:
- The system consists of parallel lines
- Both lines have the same slope
Step-by-step explanation:
* Lets talk about the solution of the linear equations
- There are three types of the solutions of the system of linear equations
# If the two lines intersect each other, then there is one solution
- The equations are ax+ by = c , dx + ey = f
# If the two lines parallel to each other, then there is no solution
- The equations are ax+ by = c , ax + by = d in its simplest form ,
where a is the coefficient of x , b is the coefficient of y and
c , d are the numerical terms
# If the two lines coincide (over each other), then there are infinite
solutions
- The equations are ax+ by = c , ax + by = c in its simplest form, where
a is the coefficient of x , b is the coefficient of y and c is the
numerical term
* Lets solve the problem
∵ The system of equation is:
y = 1/3 x - 4 ⇒ (1)
3y - x = -7 ⇒ (2)
- Lets put equation (1) in the form of equation (2)
∵ y = 1/3 x - 4 ⇒ multiply both sides by 3
∴ 3y = x - 12 ⇒ subtract x from both sides
∴ 3y - x = -12
∴ Equation (1) is 3y - x = -12
∵ Equation (2) is 3y - x = -7
∵ The coefficients of x and y in the two equation are equal
∵ The numerical terms in the two equations are not equal
∴ The equations have no solution because their lines are parallel
∵ The parallel lines have same slope
* The true statements are
- The system consists of parallel lines
- Both lines have the same slope
Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
The total amount that all three friends have is $84.
Let's assume that Ami, Jan, and Toy have x, y, and z dollars respectively. After the first redistribution, we know that:
x - a = 2(y + z)
y + a = 2(x + z)
z + a = 2(x + y)
where a is the amount of money that Ami gives to Jan and Toy.
Solving these equations, we get:
x = 5z - 4a
y = 5z - 6a
z = z
After the second redistribution, the new amounts are:
x + b = 2(y + c)
y - b + c = 2(x + c)
z + b + c = 2(x + y)
where b is the amount that Jan gives to Ami and Toy, and c is the amount that Toy gives to Ami and Jan.
Solving these equations, we get:
x = 14c
y = 11c
z = 6c
Finally, after the third redistribution, the new amounts are:
x + 2d = 2(y + 2d)
y + 2d = 2(x + 2d)
z - 2d + 2c = 2(x + y)
where d is the amount that Toy gives to Ami and Jan.
Solving these equations, we get:
x = 8d
y = 10d
z = 18d
Since we know that z = $36, we can solve for d and get d = $2. Therefore, the total amount that all three friends have is:
x + y + z = 8d + 10d + 36 = $84.
To know more about Equations here
https://brainly.com/question/30581870
#SPJ2
a 2 digits even multiple of 7
Answer:
14, 28, 42, 56, 70, 84, (etc.)
Step-by-step explanation:
14, 28, 42, 56, 70, 84, (etc.) are all multiples of 7. They're also even and have 2 digits.
Answer: 14 28 42 56 70 84
Step-by-step explanation: Hopes this helps
The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points. About what percent of students have scored between 60 and 65 points?
Answer: The percent of students have scored between 60 and 65 points is 34.13%
Step-by-step explanation:
Given : The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points.
i.e. [tex]\mu=60\ \ \ \sigma=5[/tex]
Let x denotes the points obtained by students of a class in a test .
Now , the probability that the students have scored between 60 and 65 points :-
[tex]P(60<x<65)=P(\dfrac{60-60}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{65-60}{5})\\\\= P(0<z<1)\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\= P(z<1)-P(z<0.5)\ \ \ [\because\ P(z_1<Z<z_2)=P(Z<z_2)-P(Z<z_1)]\\\\=0.8413-0.5=0.3413[/tex]
[tex]=34.13\%[/tex]
Hence, the percent of students have scored between 60 and 65 points is 34.13%.
What are the answers plzzz someone help me
Use the parabola tool to graph the quadratic function
f(x)=(x−2)(x−6)
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
What parabola tool?
Step-by-step explanation:
I went ahead and graphed the quadratic function however, you should learn how to graph it yourself the way they are asking you to using the "parabola tool", because I cant really show you my steps in graphing it since I don't know what your parabola tool is.
Sorry
What are the coordinates of Z?
Answer:
The correct answer option is C. (0, c).
Step-by-step explanation:
We are given an isosceles trapezoid with the coordinates of three of its vertices and we are to find the coordinates of Z.
Z is a point on the middle of one of the sides of the trapezoid.
Since Z lies on the horizontal x axis, therefore its x coordinate is 0 while the y coordinate can be seen from the vertex exactly at its right which is c.
Z (0, c)
==============================================
Explanation:
Note how the point (a,0) mirrors over the y axis to land on (-a,0)
A similar action will happen as we go from te point (b,c) to point W (-b, c), due to this figure being isosoceles.
The x coordinate changes from positive to negative. The y coordinate stays the same.
The point Z is the midpoint of the upper segment which spans from (-b,c) to (b,c)
Apply the midpoint formula to find where Z is located.
Add up the x coordinates and divide by 2: x = (-b+b)/2 = 0/2 = 0
Add up the y coordinates and divide by 2: y = (c+c)/2 = 2c/2 = c
So the midpoint is located at (x,y) = (0, c) which is where point Z is located as well.
Side note: it might help to replace the letters a, b and c with actual values, just so the problem is more concrete.
Write the slope-intercept form of the equation of each line.
Answer:
[tex]\large\boxed{y=-\dfrac{7}{3}x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points:
(0, 4) → b = 4
and (3, -3)
Substitute:
[tex]m=\dfrac{-3-4}{3-0}=\dfrac{-7}{3}\\\\y=-\dfrac{7}{3}x+4[/tex]