All we need to do is turn the mixed number into an improper fraction.
7 1/6 = 43/6
Therefore, there are 43 sixths in 7 1/6.
Best of Luck!
Answer:
43
Step-by-step explanation:
7 1/6 ÷ (1/6) = 43
43 x (1/6) = 7 1/6
Hence, the answer (43) is correct
the sum of 4/15 and 3/75 multiplied to 4/15
Answer:
92/1125
Step-by-step explanation:
Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex]x = \frac{17}{18}[/tex]
[tex]y = \frac{23}{6}[/tex]
Step-by-step explanation:
Given
[tex]y = 3x + 1[/tex]
[tex]Points = (0,0)\ to\ (-3,4)[/tex]
Required
Determine (x,y) equidistant from the equation and the given point
This question will be answered using distance formula;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Considering The first Point [tex](0,0)\ to\ (x,y)[/tex]
[tex](x_1 ,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (x,y)[/tex]
The distance is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{0 - x)^2 + (0 - y)^2}[/tex]
[tex]d = \sqrt{(- x)^2 + (- y)^2}[/tex]
[tex]d = \sqrt{x^2 + y^2}[/tex]
Considering the second point: [tex](x,y)\ to\ (-3,4)[/tex]
[tex](x_1,y_1) = (x,y)[/tex]
[tex](x_2,y_2) = (-3,4)[/tex]
The distance is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]d = \sqrt{(x - (-3))^2 + (y - 4)^2}[/tex]
[tex]d = \sqrt{(x + 3)^2 + (y- 4)^2}[/tex]
[tex]d = \sqrt{x^2 + 6x + 9 + y^2- 8y + 16}[/tex]
[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 16 + 9}[/tex]
[tex]d = \sqrt{x^2 + 6x + y^2- 8y + 25}[/tex]
Equate both values of d
[tex]\sqrt{x^2 + 6x + y^2- 8y + 25} = \sqrt{x^2 + y^2}[/tex]
Square both sides
[tex]x^2 + 6x + y^2- 8y + 25 = x^2 + y^2[/tex]
Collect Like Terms
[tex]6x - 8y + 25 = x^2 -x^2+ y^2 -y^2[/tex]
[tex]6x - 8y + 25 =0[/tex]
Recall that [tex]y = 3x + 1[/tex]
[tex]6x - 8(3x + 1) + 25 = 0[/tex]
[tex]6x - 24x - 8 + 25 = 0[/tex]
[tex]-18x+ 17 = 0[/tex]
[tex]-18x=- 17[/tex]
Solve for x
[tex]x = \frac{-17}{-18}[/tex]
[tex]x = \frac{17}{18}[/tex]
Substitute [tex]\frac{17}{18}[/tex] for x in [tex]y = 3x + 1[/tex]
[tex]y = 3 * \frac{17}{18} + 1[/tex]
[tex]y = \frac{17}{6} + 1[/tex]
[tex]y = \frac{17 + 6}{6}[/tex]
[tex]y = \frac{23}{6}[/tex]
A square has a side length of 32 cm what is the area
Answer:
[tex]1024cm^2[/tex]
Step-by-step explanation:
Area = Length [tex]\times[/tex] Length
Area = [tex]32cm\times32cm=1024cm^2[/tex]
What is the value of y?
Answer:
D) 55°.
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
[tex]y+(y+30)+40=180[/tex]
[tex]2y+70=180\\[/tex]
Subtract 70 from both sides:
[tex]2y+70-70=180-70[/tex]
[tex]2y=110[/tex]
Divide both sides by 2:
[tex]\frac{2y}{2}=\frac{110}{2}[/tex]
[tex]y=55[/tex]
6. DE with endpoints D(-3, -4) and E(4, 2) under the translation
(x, y) + (x + 1, y + 3)
Answer:
D'(-2, -1)
E'(5, 5)
Step-by-step explanation:
DE has the coordinates of the endpoints as D(-3, -4) and E(4, 2).
These points are translated by the rule to give the translated image as D'E',
(x, y) → (x + 1, y + 3)
By following this rule,
D(-3, -4) → D'(-3 + 1, -4 + 3)
→ D'(-2, -1)
E(4, 2) → E'(4 + 1, 2 + 3)
→ E'(5, 5)
Now we can graph these image points having coordinates D'(-2, -1) and E'(5, 5).
The sum of two numbers is negative sixteen. One number is seven times the other. Find the numbers
The two numbers are [tex]-2[/tex] and [tex]-14[/tex].
It is given that,
Sum of two numbers is negative sixteen.One number is seven times the other.Explanation:
Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].
Sum of two numbers is negative sixteen.
[tex]x+7x=-16[/tex]
[tex]8x=-16[/tex]
[tex]x=\dfrac{-16}{8}[/tex]
[tex]x=-2[/tex]
The value of other number is:
[tex]7(-2)=-14[/tex]
Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].
Learn more:
https://brainly.com/question/13536824
What is the simplified form of the complex fraction? 2x2+x−6x2−x−64x2−9x2+5x+6
Question:
Is that 6x square?
An artist has 8 gallon-sized buckets of paint. The artist uses the paint from the buckets to fill pint-sized cans. What is the greatest number of
cans the artist can fill using the paint from the buckets?
Answer:
64 cans
Step-by-step explanation:
Given
[tex]Gallon = 8[/tex]
Required
Determine the equivalent in pints
The standard unit of conversion;
[tex]1 gallon = 8 pints[/tex]
Multiply both sides by 8
[tex]8 * 1\ gallon = 8 * 8\ pints[/tex]
[tex]8\ gallons = 64\ pints[/tex]
Hence, the artist will need 64 cans
For each value of x, determine whether it is a solution to 3x + 5 = 8.
Is it a solution?:
-6: yes or no
-2: yes or no
7: yes or no
8: yes or no
Answer:
-6:No
-2:No
7:No
8:No
The only number to make this equation true is 1
Step-by-step explanation:
I will substitute each value in place of the variable. Hopefully you understand PEMDAS
3(-6)+5=8
-18+5=8
-13=8
-13 does not equal 8 so false.
3(-2)+5=8
-6+5=8
-1=8
-1 doe not equal 8 so false
3(7)+5=8
21+5=8
26=8
26 does not equal 8 so false
3(8)+5=8
24+5=8
29=8
29 does not equal 8 so false
Let's see what would make this true:
3x+5=8
3x=3
×=1
The solution is: :
-6:No
-2:No
7:No
8:No
The only number to make this equation true is 1
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
We will substitute each value in place of the variable.
we know PEMDAS
3(-6)+5=8
-18+5=8
-13=8
-13 does not equal 8 so false.
3(-2)+5=8
-6+5=8
-1=8
-1 doe not equal 8 so false
3(7)+5=8
21+5=8
26=8
26 does not equal 8 so false
3(8)+5=8
24+5=8
29=8
29 does not equal 8 so false
Let's see what would make this true:
3x+5=8
3x=3
x=1
To earn more on addition click:
brainly.com/question/29560851
#SPJ2
solve for n -2 = -n + 8
Answer:
N=10
Step-by-step explanation:
-2n=-n+8
subtract 8 on both sides
-10/-n= -n/-n
the variables cancel out and you divide -10 with -1 because your variable is always 1 giving you the answer
n=10
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{n - 2 = - n + 8}[/tex]
Move n to left hand side and change it's sign
Similarly, move 2 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{n + n = 8 + 2}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{2n = 8 + 2}}[/tex]
Add the numbers: 8 and 2
[tex] \longrightarrow{ \sf{2n = 10}}[/tex]
Divide both sides by 2
[tex] \longrightarrow{ \sf{ \frac{2n}{2} = \frac{10}{2}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{n = 5}}[/tex]
Hope I helped!
Best regards! :D
3
5
Jerry made a small rectangular table for his workroom. If the sides of the
table are 35- inches and 17- inches, which of the following gives the product
4
6
of these dimensions rounded to the nearest whole number of inches?
OA) 35 in. x 17 in.
OB) 36 in. x 18 in.
OC) 35 in. x 18 in.
OD 36 in. x 17 in.
Answer:
B
Step-by-step explanation:
cause on T4L you have to round it to the nearest whole and I put B and it was correct.
By selling 75 apples, a seller gains the cost price of 15 apples.
find his gain percentage?
Answer:
20%Step-by-step explanation:
In this exercise, we want to convert the sellers gain or say represent the sellers gain as a percentage
step onegiven data
given that he sells a total of 75 apples
and also that he gains 15 apples
step twoTo solve or show the percentage gain, we have to divide the total sales by the profit made and multiply the result by 100, that way we have the percentage gain.
i.e (profit/total sales)*100
= (15/75)*100
= 0.2*100
= 20%
Equatons Unit Test
Determine whether the units are commensurable or incommensurable with grams?
Yes kilometers and kilograms
. Rohith purchased a book for Rs.573.75 and a pen for Rs.25.50. His father
gave him a Rs 1000 note. How much money is left with him after
purchasing both the things?
Answer:
Step-by-step explanation:
cost of book = Rs. 573.75
cost of pen = Rs. 25.50
total cost = 573.75 + 25.50 = Rs. 599.25
total money = Rs. 1000
money left with him = 1000 - 599.25 = Rs. 400.75
Hope this helps
plz mark as brainliest!!!!!!
Use the slope formula to find the slope of the line through the points (4,−1) and (−9,−10).
Answer:
9/13
Step-by-step explanation:
Multiply 16.852 × 0.86 =
Answer:
The Answer is 14.49
Step-by-step explanation:
Because you have the use paper or calculator(if affordable) then there will be more numbers but i wanted to make it to a short version
Answer:
14.49
Step-by-step explanation:
A town has a population of 4000 and grows at 2% every year. To the nearest year, how long will it be until the population will reach 6400?
Answer:
24 years
Step-by-step explanation:
Answer:24 years
Step-by-step explanation:
Trust me
The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the
Coordinates of the other endpoint G.
Answer:
G(-3, 6)
Step-by-step explanation:
[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Substitute the coordinates of M and D into the formula:
[tex]( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&= \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &[/tex]
Thus, the coordinates of G is (-3,6).
What is 5 divided by 1525
Answer:
Step-by-step explanation:
5 divided by 1525 = 0.0032786885245902
1525 divided by 5 = 305
Hope this helps! :)
Write 19/20 as a decimal
Answer:
95%
Step-by-step explanation:
All you have to do is multiply both number by 5 and after you do that you should get 95/100 and then since we have the 100 as the denominator then we could take the numerator and then you can take it off and then you have you decimal.
fill in the missing
16 x 50 = 16 x x25
-3+0=-3
is what property?
Answer:
It has a zero in it so it should be identity property.
Step-by-step explanation: anything with 0 is im pretty sure the Identity problem.
(n - 7) > 2n - 3.
Solve for n
Answer: inequality form n < -4
Step-by-step explanation:
Answer:
n < -4
Step-by-step explanation:
(n-7) > 2n-3
n-7 > 2n -3
+ 3 +3
n-4 > 2n
-n -n
-4 > n
n < -4
Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid
Answer: yes, it is valid
Step-by-step explanation:
Given the following probability distribution :
X ________f(x)
100,000___ .10
200,000__ .20
300,000 __ .25
400,000 __ .30
500,000 ___.10
600,000 ___.05
To examine the validity of the distribution :
Each individual observation or point must have probability value in within the range (0 < p ≤ 1)
Where p = probability value.
The sum of the individual probabilities must add up to 0
(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)
= 1
Since the two consitions are meet, then, the probability distribution is valid
It takes 4 1/2 cups of cherries to make a cherry pie. Russell wants to make 4 cherry pies. How many cups of cherries will Russell need?
Answer:
18 cups.
Step-by-step explanation:
Multiply 4.5 by 4.
All of the following are equivalent except
(4)
4+ y
4. y
4 у
plzzz brainliest
Answer:
the answer is b. 4+y
Step-by-step explanation:
all the other options are just expressing 4 in different ways
Answer:
B
Step-by-step explanation:
The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number and let y represent the second number. If the table will be used to guess and check, what should the equation be at the top of the last column? Numbers у x+y=44 ? O4 = 3-4x O y=4X-3 Oy=4-3x O Y=3X-4
Answer:
O4 = 3-4x
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
got 100 on test on edge
pliz solve this question, pliz pliz
Answer:
If the bisector of AB is at origin (0,0) and A is at (4,0)
we can say that the mid-point of the line AB is at (0,0)
Hence, the point B will be 4 units on the other side of the origin
Therefore, the co-ordinates of B are: (-4,0)
Since the line AB is 4 units to the left and 4 units to the right of the origin,
the length of line-segment AB is 4 + 4 = 8 units
What is the domain and range of the following?
Answer:
c
Step-by-step explanation:
Domain is the x-values range is y-values
determine the mean
14,2,15,7,4,12
Answer:
The mean is 9.
Step-by-step explanation:
How many numbers are there? 6.
The numbers add up to 54.
Divide 54 by 6, to get 9 numbers.
Answer:
9
Step-by-step explanation:
14 + 2 + 15 + 7 + 4 + 12 = 5454 ÷ 6 (the number of numbers we added above) = 9I hope this helps!
