Final answer:
To determine how many times 1/6 can be contained in 4, we multiply 4 by the reciprocal of 1/6, which is 6. The answer is 24.
Explanation:
To find out how many times 1/6 can go into 4, we need to perform a division operation. We are essentially asking how many sixths are there in 4 wholes. This can be written as a division expression:
4 ÷ (1/6)
To divide by a fraction, you multiply by its reciprocal. For the fraction 1/6, the reciprocal is 6, so you multiply 4 by 6 to find the answer:
4 × 6 = 24
Therefore, 1/6 can go into 4 a total of 24 times.
if the slope of line ab is m what is the product of the slopes of ab and a line parallel to ab
The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. In one rotation of the carousel, how much farther does Maya travel than Kelly? One rotation of the carousel takes 12 seconds. How much faster does Maya travel than Kelly?
Maya travels [tex]4.19 feet/sec[/tex] faster than Kelly !
Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]
Step-by-step explanation:
Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:
Kelly is riding on the inner ring, which has a radius of 9 feet
Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.
⇒ [tex]Distance = 2\pi r[/tex]
⇒ [tex]Distance = 2(3.14) 9[/tex]
⇒ [tex]Distance = 56.52feet[/tex]
Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .
Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.
⇒ [tex]Distance = 2\pi r[/tex]
⇒ [tex]Distance = 2(3.14) 17[/tex]
⇒ [tex]Distance = 106.76feet[/tex]
Therefore , Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]
Now , Speed of both is give by
⇒ [tex]Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec[/tex] And ,
⇒ [tex]Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec[/tex]
Faster Maya travels = 8.90-4.71 = 4.19
So , Maya travels [tex]4.19 feet/sec[/tex] faster than Kelly !
( 2x^4+2x^3+x^2-x-1 ) \ ( x^2-x-1 )
Answer:
[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]
Step-by-step explanation:
We want perform the following polynomial division.
[tex] \frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } [/tex]
We carry out the polynomial division in the attachment to obtain:
[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]
See attachment;
If a car travels at an average rate of "x" miles per hour, how many miles will the car travel in six hours? A) 6x B) x + 6 C) x 6 D) 6 x
The total number of miles the car can travel in 6 hours is A. 6x miles per hour
To calculate the miles the car will travel in six hours
By using the formula of Distance = Rate * Time
Given that,
Average rate is given as "x" miles per hour
the time = 6 hours
To calculate the total miles in 6 hours = x * 6 miles per hour
Total miles = 6x miles per hour
Therefore, the total number of miles the car can travel in 6 hours is 6x miles per hour
| 57. Macy, Sydney, and Alle are sisters. Macy is liyo
years older than Sydney and Allie is one war
less than half the age of Sydney. If the sum of
their ages is 31, how old is Magy?
Let S be Sydney's age.
Macy = S + Liyo, Alle = (1/2)S - 1.
Given, S + (S + Liyo) + ((1/2)S - 1) = 31.
Substituting Liyo = S and solving gives Sydney = 10, Macy = 15.
So, Macy is 15 years old.
To solve this problem, let's assign variables to represent each sister's age. Let S be Sydney's age. Given that Macy is Liyo years older than Sydney, Macy's age would be S + Liyo. Since Allie is one year less than half the age of Sydney, Allie's age can be represented as (1/2)S - 1.
The sum of their ages is given as 31, so we can set up the equation: S + (S + Liyo) + ((1/2)S - 1) = 31. Substituting Liyo with S, we can solve for Sydney's age (S). Once we find Sydney's age, we can then find Macy's age by adding Liyo to Sydney's age.
By solving the equation, we find that Sydney is 10 years old. Thus, Macy is 15 years old (10 + Liyo). Therefore, Macy is 15 years old.
Complete Question:
Macy, Sydney, and Alle are sisters. Macy is liyo years older than Sydney and Allie is one war less than half the age of Sydney. If the sum of their ages is 31, how old is Magy?
Which answer best describes the shape of this distribution?
bell-shaped
skewed right
skewed left
uniform
Answer: B
Step-by-step explanation:
Martin is going to ride in the great bicycle race which is 7/10 as long as the 100- mile astounding race how long is the great bicycle race
Answer: 70 miles long
Step-by-step explanation:
7/10 x 100 = 70
its 70 miles long
Final answer:
The great bicycle race is 70 miles long.
Explanation:
To find the length of the great bicycle race, we need to multiply the length of the 100-mile astounding race by 7/10. Since 7/10 is a fraction, we can represent it as 7 divided by 10. Multiplying by a fraction is the same as multiplying the numerator by the same factor as the denominator. Therefore, we can multiply 100 by 7 and divide by 10 to find the length of the great bicycle race.
There are a few ways to do this computation. One way is to multiply 100 by 7, which equals 700, and then divide 700 by 10. The result is 70 miles. Therefore, the great bicycle race is 70 miles long.
In the diagram below DE is parallel to XY what is the value Y
Those are consecutive interior angles of a transversal across parallel lines. That mouthful means they're supplementary, adding to 180°.
Answer: B. 75
3. © MP.6 Be Precise Aiden has three
$20 bills and two $10 bills. He wants
to save a total of $95. How much more
money does he need? What bills could
they be?
Answer:
he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.
Step-by-step explanation:
20+20+20+10+10= 80
95-80= 15
10+5= 15
1 x 15= 15
5 x 3 = 15
therefore, he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.
hope this helps
~ angilena
Why should you accurately complete a W-4 form any time you start a new
job or change your tax status? *
You must fill it out accurately so your employer knows how much tax to withhold from your paycheck. The amount withheld is based on your filing status, number of dependents, anticipated tax credits and deductions. If you do not fill it out correctly, you could possibly end up owing taxes when you file your tax return.
Accurately completing a W-4 form when starting a new job or changing tax status is important to ensure the correct amount of federal income tax is withheld from your paycheck.
Explanation:When starting a new job or changing tax status, it is important to accurately complete a W-4 form. This form determines the amount of federal income tax that is withheld from your paycheck. By accurately completing the form, you can ensure that the correct amount of tax is being withheld and avoid underpaying or overpaying your taxes.
Completing the W-4 form involves providing information about your filing status, number of allowances, and any additional amount you want to withhold. The number of allowances you claim on the form affects the amount of tax that is withheld. For example, claiming more allowances means less tax will be withheld from your paycheck, resulting in more take-home pay.
Accurately completing the W-4 form is important because it helps you avoid owing a large amount of tax when you file your tax return and potentially facing penalties for underpayment. It also helps you avoid overpaying and potentially receiving a large tax refund. By reviewing and updating your W-4 form when starting a new job or experiencing a change in tax status, you can ensure that the correct amount of tax is being withheld from your paycheck.
what do u get when u double 15
you have 6 reindeer Rudy, Jebediah, Eskiel, Lancer, Gloopin, and Balthazar, and you want to have 5 fly your sleigh. You always have your reindeer fly in a single-file line
Answer:
Take one reindeer out of the running for pulling the sleigh
Step-by-step explanation:
midpoint of (1,3) and (4,-5)
Answer:
The rigth answer is, ( 5/2 , -1 )
Step-by-step explanation:
To find the midpoint we use the respective formula:
m = ( x1 + x2 / 2 , y1 + y2 / 2 )
We replace:
m = ( 1 + 4/2 , 3 + (- 5) / 2 )
We solve:
m = ( 5/2 , -1 )
A baseball glove was purchased at a discount of 30% for $84. What was the price of the glove before the discount?
the the original price be x
[tex]x - \frac{30}{100} x = 84 \\ \frac{100x - 30x}{100} = 84 \\ 70x = 8400 \\ x = \frac{8400}{70} \\ x = 120[/tex]
so the original price was $120
Answer: original price b4 30% discount was $120
Step-by-step explanation:
If at 30% discount, baseball glove is $84
It means 70% = 84
100% = x
Cross multiply
70x = 8400
x = 120
How to solve 47x82 on an area model
Answer:
Step-by-step explanation:
Answer:
3854
Step-by-step explanation:
What does the value of x have to be so that
(x,-7) and (-1,4) have a slope of 11/4 between them?
Solution:
The slope of a line is given by formula:
[tex]Slope = \frac{ y_2-y_1}{x_2-x_1}[/tex]
From given,
[tex]slope = \frac{11}4}\\\\(x_1, y_1) = (x, -7)\\\\(x_2, y_2) = (-1, 4)[/tex]
Substituting the values we get,
[tex]\frac{11}{4} = \frac{4+7}{-1-x}\\\\-11 - 11x = 11 \times 4\\\\-11-11x = 44\\\\11x = -11-44\\\\11x = 55\\\\x = 5[/tex]
Thus the value of x is 5
How do you write twenty minus the product of 4 and a number is 4
Answer:
Twenty minus (20 -) the product of four and a number (4n) is (=) four (4) is written algebraically as: 20-(4n) = 4 Subtract 4 from both sides.
Step-by-step explanation:
mark brainliest
If f(x) = x2 − 6x + 19, complete the square and determine the minimum or maximum value of the function
Answer:
minimum value = 10
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 19
= (x - 3)² + 10 ← in vertex form
with (h, k) = (3, 10 )
To determine maximum or minimum consider the value of a
• If a > 0 then minimum value of k
• If a < 0 then maximum value of k
Here a = 1 > 0, hence minimum value of k = 10
What is the area of the parallelogram?
A. 11 square centimeters
B. 22 square centimeters
C. 15 square centimeters
D. 30 square centimeters
Answer: D
Step-by-step explanation:
5x6=30
Help me find the area please
[tex] \frac{1}{2} \times 8 \times 4 = \frac{32}{2} = 16[/tex]
[tex] \frac{115}{360} \times \pi \times {5}^{2} \\ = 25.08[/tex]
AREA OF THE COMPOSITE FIGURE
[tex]16 + 25.08 = 41.08ft^{2} [/tex]
Which statements about the cylinder are true? Select two
options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is 1x2 square units.
The area of the cylinder's base is
nex? square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Answer:
The radius of the cylinder is (1/2)x units
The area of the cylinder’s base is (1/4)πx2 square units
The height of the cylinder is 4x units
Step-by-step explanation:
The complete question is
A cylinder with a base diameter of x units has a volume of πx3 cubic units.
Which statements about the cylinder are true? Check all that apply.
(1) The radius of the cylinder is (1/2)x units.
(2) The radius of the cylinder is 2x units.
(3) The area of the cylinder’s base is (1/4)πx2 square units.
(4) The area of the cylinder’s base is (1/2)πx2 square units.
(5) The height of the cylinder is 2x units.
(6) The height of the cylinder is 4x units
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=\frac{x}{2}\ units[/tex] ----> the radius is half the diameter
[tex]V=\pi x^{3}\ units^3[/tex]
substitute the given values in the formula of volume
[tex]\pi x^3=\pi (\frac{x}{2})^{2}h[/tex]
solve for h
simplify
[tex]x=(\frac{1}{4})h[/tex]
[tex]h=4x\ units[/tex]
Verify each statement
(1) The radius of the cylinder is (1/2)x units
The statement is true
see the explanation
(2) The radius of the cylinder is 2x units.
The statement is false
Because, the radius of the cylinder is x/2 units
(3) The area of the cylinder’s base is (1/4)πx2 square units
The statement is true
Because, the area of the cylinder's base is equal to
[tex]A=\pi r^{2}[/tex]
[tex]r=\frac{x}{2}\ units[/tex]
substitute
[tex]A=\pi (\frac{x}{2})^{2}[/tex]
[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]
(4) The area of the cylinder’s base is (1/2)πx2 square units.
The statement is false
Because, the area of the cylinder's base is equal to
[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]
see the part (3)
(5) The height of the cylinder is 2x units.
The statement is false
Because, the height of the cylinder is 4x units (see the explanation)
(6) The height of the cylinder is 4x units
The statement is true
see the explanation
A floor plan shows the area of a room is 271.25 feet. If the room is 15.5 feet wide how long is it?
Divide the area by the width:
271.25 / 15.5 = 17.5
The room is 17.5 feet long
Answer:
255.75
Step-by-step explanation:
i subtracted the numbers, i might be wrong
The question is write the name of each term in the blank
938
+347
722
=2007
Answer:
+
Step-by-step explanation:
938 + 347 = 1285
2007 - 1285 = 722
CHECK:
938 + 347 + 722 = 2007
In this addition problem, the names of each term are 938, 347, and 722. The sum of the terms is 2007.
Explanation:In this addition problem, we need to fill in the blanks with the names of each term. Let's break down the given equation:
938 + 347 + 722 = 2007
The terms in this addition problem are:
938 (first term)347 (second term)722 (third term)2007 (sum of the terms)So, the names of each term are as follows:
First term: 938
Second term: 347
Third term: 722
Sum of the terms: 2007
Learn more about Terms in an addition problem here:https://brainly.com/question/34190747
#SPJ2
A flagpole, 12 m high, is supported by three wires attached from the top of the pole to the ground. Each wire is pegged into the ground 5 m from the pole. How much wires needed to supported the pole?
Step-by-step explanation:
base=5m
height=12
Pythagoras formula A2+b²=c2
so 12²+5²
144+25=169
so
√169=13m
Answer: 3 wires of 13 m =39m
Base side = 5m
Vertical side = 12m
Hypotenuse = length of one wire.
5^2 + 12^2 = Hypotenuse^2
Hypotenuse = 13m
3 wires of 13m length = 39m
How far up does the ladder reach on the building?
Round your answer to the nearest hundredth.
A. 6.67 m
B. 3.75 m
C. 0.6 m
D. 15 m
Step-by-step explanation:
The question missing attachment (incomplete)
But the question said how far up does the ladder reach on the building?
See the attachment
Let the tita be 60° and the height of the building be 50 meters
Now
Opposite/hypotenuse = sin(tita)
50/x = sin60°
Cross multiply to find x
x = 50/sin(60°)
x= 50/0.8660
x=57.7 meters
Answer:
A. 6.67 m
Step-by-step explanation:
Below are attachments containing the complete question and solution
Find the area of the figure is not drawn to scale 2.7 cm and 5.2 cm
Answer:
2.7 x 5.2 = 14.04
Step-by-step explanation:
Simplify in terms of i: square root of -36
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{36} * i = 6 * i = 6i[/tex]
The square root of a negative number can always be simplified by doing this:
1) take the negative sign out of the square root.
2) multiply by i.
Five times the sum of a number and 27 is greater than or equal to six times the sum of that
set of this problem?
Answer:
B
Step-by-step explanation:
when considering the cost of paying for college, which statement is NOT true? A) Scholarships have to be paid back. B) Scholarships are awarded based on merit. C) Scholarship can based on grades or athletic ability Eliminate D) Scholarships can be based on an affiliation to an organization.
Answer:
A)
Step-by-step explanation:
The statement that is the cost of paying for college, which statement is NOT true is option D) Scholarships can be based on an affiliation to an organization.
Scholarships can indeed be awarded based on academic achievements, such as high grades, standardized test scores, or class rankings. Additionally, scholarships can also be available for students with exceptional athletic abilities, rewarding their talents in sports or other physical activities.
D) Scholarships can be based on an affiliation to an organization:
This statement is NOT true. Scholarships can indeed be tied to affiliations with specific organizations, associations, or companies. For example, there might be scholarships offered exclusively to the children of employees of a particular company or members of certain professional organizations. These types of scholarships are often referred to as "affiliation scholarships."
Hence the correct option is (d).
To know more about Scholarships here
https://brainly.com/question/31209383
#SPJ2
There are 30 mystery books in Chin's
book collection. If 6% of his books
are mysteries, how many books does
Chin have in his collection?