Answer:
1
Step-by-step explanation:
Let the number be n.
We are given:
n/12=q1+(7/12) where q1 is the quotient
n/6=q2+(?/6) where q2 is the quotient and ? is the remainder value we are trying to find.
? must be a integer between 0 and 5, inclusive. A remainder cannot be bigger than or equal to the divisor.
Let's rewrite the first equations
Multiply equation 1 on both sides by 2:
n/6=2q1+7/6
Remainder cannot be 7.
Rewrite again.
6 goes into 7 1 time with remainder 1.
n/6=2q1+(1+1/6)
n/6=(2q1+1)+1/6
So q2=2q1+1 and the remainder is 1 when dividing n by 6.
For fun. What is a number n with such conditions on it?
So what number has remainder 7 when divided by 12 and a remainder 1 when divided by 6.
n=12q1+7
n=6q2+1
If q1=1, we find a number right away that works.
19/12=1+7/12
19/6=3+1/6
What is the smallest prime number that is also a multiple of 20?
Answer:
Hello,
Step-by-step explanation:
In order to cut off ( pour couper court)
all multiple of 20 are divisible by 20, so they are not primes.
The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.(please help)
1. What would be the floor plan of the building? Label the diagonal braces
2. Find the dimensions of the new factory
3.Find the perimeter of the new factory
4.the yogurt machines will be placed along the wall of the new factory . Each machine is 10 feet wide.
Find the company fit 40 of the machines in the building Why or Why not ?
Answer:
1. see attached diagram
2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft
3. The perimeter is 300 sqrt(2) ft
4. cannot fit 40 machines along the walls
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
The dimensions are 75 sqrt(2) by 75 sqrt(2) ft
The perimeter of a square is given by
P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft
The perimeter is 300 sqrt(2) ft
Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft so you can fit 10 along the wall
Putting them along the top and bottom walls = 20 machines
We are only left with 86 ft along the side walls
86/10 = 8 machines
machines * 2 walls = 16
We can fit 20+16 machines = 36 machines not 40
Which equation represents a line which is parallel to the line 6x - 5y = 5?
Submit Answer
Oy= $– 2
Oy= {2+3
Oy=+*+1
O 9= -x +6
PLS HELP ASAP
Answer:
y = 6/5x - 2
Step-by-step explanation:
First we need to put the equation given in slope intercept form, y = mx + b
6x - 5y = 5
Solve for y
6x - 5y = 5
Subtract 6x from both sides
-5y = -6x + 5
Divide both sides by -5
y = 6/5x - 1
Now we have the equation in slope intercept form
y = 6/5x - 1
We want to find the equation that would be parallel to it
Parallel lines have the same slope
The equation y = 6/5x - 1 has a slope of 6/5 so an equation that is parallel to it would also have a slope of 6/5
The only equation that has a slope of 6/5 is the top left one therefore that is the answer
Answer:
y = 6/5x - 2
Step-by-step explanation:
Simplify the given equation:
[tex]6x-5y=5\\-5y=-6x+5\\y=\frac{6}{5}x-1[/tex]
In order for another equation to be parallel, it must have the same slope. Therefore, y = 6/5x - 2 is the correct answer.
Write an inequality and show on a number line all numbers:
greater than (-3) but less than or equal to 3
(enter the inequality in terms of x)
Eg. x<-3; 3 7
Answer:
The inequality is:
- 3 < x ≤ 3And the graph is attached
Greater than -3
x>-3-3<xLess than or equal to 3
x≤3For number line
put a open dot at -3
put a close dot at 3
join them
heeeellllp...
...
...
...
...
...
...
Answer:
didn't shade all of them
The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.
Answer:
20 and 55
Step-by-step explanation:
Let's assume, we have two numbers 'x' and 'y'.
Now, all we know is:
one number exceeds the other by 35 (i.e their difference is 35)sum of two numbers is 75So we form two equations:
x + y = 75_____(i)
and x - y = 35
so, x = y+35 _____(ii)
Put the value of x from (ii) into (i)
x + y = 75
y + 35 + y = 75
2y = 40
y = 20
Put value of y back in (ii)
x = y+35
x = 20 + 35
x = 55
The first number is 20, and the second number is 55.
Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.
Let's assume the first number is x.
According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).
The sum of the two numbers is given as 75, so we can set up the equation:
x + (x + 35) = 75
Simplifying the equation, we get:
2x + 35 = 75
Subtracting 35 from both sides:
2x = 40
Dividing both sides by 2:
x = 20
Therefore, the first number is 20, and the second number is (20 + 35) = 55.
Learn more about numbers click;
https://brainly.com/question/24908711
#SPJ4
Calculation: One score is 20. Two score is 40. Three score and 5 is 65.
How many is four score and 7?
Answer:
answer for the question is 87
Pls help!! find the area of the shaded region.
Answer:
134.1
Step-by-step explanation:
Area of the circle = 49π = 153.9 (rounded to the nearest tenth)
Segment area,
49/2(150π/360-sin(150))
= 19.8 (rounded to the nearest tenth)
Subtracting them,
153.9-19.8
= 134.1 cm²
Answered by GAUTHMATH
The area of the shaded region is 134.1 cm²
What is a segment of a circle?
'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'
According to the given problem,
Area of the circle = πr²
= π × 7 × 7 cm²
= 153.9 (rounded to the nearest tenth)
Area of the Shaded region,
= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]
=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]
= 19.8 (rounded to the nearest tenth)
Subtracting them,
= 153.9 - 19.8
= 134.1 cm²
Hence, we can conclude that the area of the shaded region is 134.1cm²
Learn more about segment of a circle here: https://brainly.com/question/4910703
#SPJ2
Can someone please help me with this problem!!
Graph g(x)= -5^x +5
A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco
Answer: electronics
Hope that helps
The option that is not considered a sin tax is option B, gambling.
What is a sin tax?
A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.
From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.
Then the option that is not considered a sin tax is option B, gambling.
If you want to learn more about taxes:
https://brainly.com/question/25783927
#SPJ5
PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM
Answer:
b=12
Step-by-step explanation:
b^2+35^2=37^2
b^2+1225=1369
b^2=144
b=12,-12
Lengths can't be negative, so b=12
Answer:
b=12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
35^2 + b^2 = 37^2
1225+b^2 =1369
b^2 =1369-1225
b^2 = 144
Taking the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Plzzzzz Help me 10 points and will mark brainiest
Answer:
x=21
Step-by-step explanation:
We can use a ratio to solve
45 27
------ = ----------
35 x
Using cross products
45x = 35*27
45x = 945
45x/45 = 945/45
x =21
Answer:
21
Step-by-step explanation:
The ratio of A to B is 45 / 35, which is equal to 9 / 7. To get from B to A, the ratio is 7 / 9.
(7 / 9) x 27
7 x 27 = 189, 189 / 9 = 21
Brainliest, please!
factorise the quadratic equation x square + 2 x + 36
Answer:
Click on the link below to view the answer with the explanation in futher detail
Explanation:
Click the attached link to view the answer
A spinner has 4 equally likely outcomes: A,B,C, and D. The spinner is spun twice. What is the probability that it lands on BB twice?
Answer:
6.25%
Step-by-step explanation:
The probability of landing on B once is 25%.
So you multiply 25% by 25%.
0.25×0.25
The answer is 0.0625.
Converting back to %, its 6.25%.
I hope this helps!
pls ❤ and mark brainliest pls!
X/4- 2 =x/8+4
What value of x makes the equation in the reference image true ?
Answer:
The answer to your question is x=48
Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.
x/4−2=x/8+4
1/4x+−2=1/8x+4
1/4x−2=1/8x+4
1/4x−2−1/8x=1/8x+4−1/8x
1/8x−2=4
1/8x−2+2=4+2
1/8x=6
8*(1/8x)=(8)*(6)
x=48
In the adjoining fig. In a circle with centre C and chord DE ,ahe CF perpendicular to chord DE.If diameter of a circle is 20cm and DE=16cm,then CF=?GIVE REASON
DC=CF
Diameter=20cmRadius=20/2=10cmWe know
[tex]\boxed{\sf L=\dfrac{\theta}{180}\times πr}[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{90}{180}\times \dfrac{22}{7}\times 10[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{1}{2}\times \dfrac{220}{7}[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{110}{7}[/tex]
[tex]\\ \large\sf\longmapsto L=15.5[/tex]
Now
[tex]\\ \large\sf\longmapsto CF=L+r-DE[/tex]
[tex]\\ \large\sf\longmapsto CF=15.7+10-16[/tex]
[tex]\\ \large\sf\longmapsto CF=25.7-16[/tex]
[tex]\\ \large\sf\longmapsto CF=9.7cm[/tex]
[tex]\large\sf\red{⟼L=18090×722×10}[/tex]
[tex]\begin{gathered}\\ \large\sf\red{ ⟼ L=\dfrac{1}{2}\times \dfrac{220}{7}}\end{gathered}[/tex]
[tex]\begin{gathered}{ \large\sf\red{⟼ L=\dfrac{110}{7}}\end{gathered}[/tex]
⟼ L=15.5
Now
⟼ CF=L+r−DE
⟼ CF=15.7+10−16
⟼ CF=25.7−16
⟼CF=9.7cmFor the Parabola y = (x - 7)^2 – 3. the equation for the Line Of Symmetry is
Answer:
x+=(y)=x
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
y = (x - 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex. For a vertical parabola, the axis of symmetry is x=h
x = 7
Simplify.
2(x + 2) -x+3(-x-2) - (2x + 4)
Answer:
-4x - 6
Step-by-step explanation:
2(x + 2) - x + 3(-x-2) - (2x + 4)
=> 2x + 4 - x + -3x - 6 - 2x - 4
=> 2x - 2x - x - 3x + 4 - 6 - 4
=> -4x - 6
For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:
There is no a that will make f(x) continuous.
No matter what value of a you pick, you will always have the one-sided limits,
[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
but f(a) = 8 regardless of a.
Samira and Sonia each have a bag containing 20 sweets. In each bag, there are 5 red, 6 green and 9 yellow sweets.
(a)
(b)
Samira chooses one sweet at random from her bag.
Write down the probability that she chooses a yellow sweet.
[1] Sonia chooses two sweets at random, without replacement, from her bag.
(i) Show that the probability that she chooses two green sweets is 3 . 38
(ii) Calculate the probability that the sweets she chooses are not both the same colour.
Step-by-step explanation:
there must be some typos here. but I try to address the right issues.
there is nothing under (a). so, really nothing to answer.
(b)
there are 20 sweets in her bag. 9 if the 20 are yellow.
so, the probability is the ratio of desired possibilities vs. total possibilities.
that is, tada! 9/20
that is the probabilty for Samira to pick a yellow sweet.
[1] (i)
again, 20 sweets to start with.
6 are green.
when she picks the first one, her probability to pick a green one is 6/20 = 3/10 = 0.3
and now, under the assumption that this came true, she picks another sweet.
this time she had only 19 left, and 5 of them are green.
so, this probabilty is 5/19
now both events need to happen for the case we are discussing. there is no overlapping, no ors, ifs and buts. it is just the product of both probabilities.
3/10 × 5/19 = 15/190 = 3/38
I think that is what the description asks for.
(ii)
that probability is
first selection is red and second is not red +
first selection is green and second is not green +
first selection is yellow and second is not yellow
so,
red and not red
5/20 = 1/4 red
15/19 not red (there are still 15 sweets of other colors in the bag, but again now only 19 total).
red and not red = 1/4 × 15/19 = 15/76 = 0.1974
green and not green
6/20 = 3/10 = green
14/19 = not green
green and not green = 3/10 × 14/19 = 52/190 = 26/95 =
= 0.2737
yellow and not yellow
9/20 = yellow
11/19 = not yellow
yellow and not yellow = 9/20 × 11/19 = 99/380 = 0.2606
so, now assuming up all 3 possibilities ("or" = sum) gives us the general possibility of selecting two different colors
= 0.7316
She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s
Answer:
per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s
Step-by-step explanation:
divide both sides by 55 to get one.
divide both sides by 25 to get one
THEN
to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.
13. Find a four digit number that is divisible by 3,
5, and 8.
Answer:
3×5×8=120
Step-by-step explanation:
divisibility and prime number
Can someone help me solve please
[tex]x + 2 \sqrt{x} - 3 = 0[/tex]
Answer:
x = 1
Step-by-step explanation:
Given
x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )
2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )
4x = (3 - x)² ← expand using FOIL
4x = 9 - 6x + x² ( subtract 4x from both sides )
0 = x² - 10x + 9 ← in standard form
0 = (x - 1)(x - 9) ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are solutions.
x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution
x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0
x = 9 is an extraneous solution while x = 1 is a solution
round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 3, 11, 4, 3, 10, 6, 4, 5.
A. 3.5
B. 5.75
C. 4.5
D. 8
Answer:
I am thinking it's c
I am not sure
Answer:
25th Percentile: 3.5
50th Percentile: 4.5
75th Percentile: 8
= Interquartile Range: 4.5
I think it shows it's '4.5'.
C
Tony gets married next month. One year ago from the date he will get married, Tony was away in
Spain for New Year's Eve. What month is it?
Answer:
late January or early February
Step-by-step explanation:
On using logical reasoning, we deduce that this month is November.
What is logical reasoning?Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.
One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.
This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.
This implies, Tony will get married in month of December.
We know, Tony gets married next month. So, this month is November.
Learn more about logical reasoning here
https://brainly.com/question/2848937
#SPJ2
7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但
Answer:
000
Step-by-step explanation:
000
n-9 = 13
------------------
Answer:
n-9=13
n=22
Step-by-step explanation:
Answer: n = 22
Step-by-step explanation: to get the answer you have to add 9 to the -9 so that it cancels out. then you are to add the 9 to the 13 and so the answer shall be n=22
Determine the slope of the line that has the following coordinates: (-2, 5) (4, -2)
Answer:
slope= -1 1/6
Step-by-step explanation:
x1 y1 x2 y2
-2 5 4 -2
(Y2-Y1) (-2)-(5)= -7 ΔY -7
(X2-X1) (4)-(-2)= 6 ΔX 6
slope= -1 1/6
B= 2 2/3
Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?
