The quotient of three more than a number and six is nine.
[tex] \underline{ \boxed{ \large{ \sf{ \frac{(3 + n)}{6} = 9}}}}[/tex]
The value of the unknown number is 51
From the given statement we can form the following equations;
let the unknown number = x
Three more than a number:
= 3 + x
The quotient of three more than a number and six:
[tex]= \frac{x+ 3}{6}[/tex]
The result of this division is 9;
[tex]\frac{x+ 3}{6} = 9[/tex]
The value of this unknown number is calculated as;
[tex]\frac{x+ 3}{6} = 9\\\\x+3 = 54\\\\x = 54 - 3\\\\x = 51[/tex]
Thus, the value of the unknown number is 51
Learn more here: https://brainly.com/question/603134
3. Diya's chances of winning the game are
only 40%.
Express this as a probability fraction.
Answer:
2/5
Step-by-step explanation:
40% as a fraction is 4/10, when this fraction is simplified, it ends up as 2/5.
The probability of the event that Diya's chance of wining the game is 0.4 or 2/5.
What is probability of an event?The probability of an event is the chance of happening that particular event.
Let, Diya can play a game 100 times.
Therefore, the number of times she can win the game is 40.
Let, D = the event that Diya is participating in the game.
Therefore, the probability that Diya will win the game is
[tex]= P(D)\\= \frac{40}{100}\\ = \frac{2}{5}\\ = 0.4[/tex]
Learn more about probability of an event here: https://brainly.com/question/22478862
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Find the area of the triangle
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Answer:
D. 72sin(α)cos(α)
Step-by-step explanation:
Given two sides and the angle between, the area of a triangle can be found from the formula ...
Area = (1/2)ab·sin(C)
Here, that translates to ...
Area = (1/2)(12)(y)sin(α)
Using the trig relation ...
Cos = Adjacent/Hypotenuse
we can find y:
cos(α) = y/12
y = 12·cos(α)
__
Substituting this into the area calculation above, we have ...
Area = (1/2)(12)(12·cos(α))sin(α)
Area = 72sin(α)cos(α)
69. The O'Brien's had $400.0 in a special
checking account for installment payments
After paying $40.00 a month for three months
and $20.00 a month for two months. How
much was left in the account?
Hello :D
$40.00 x 3 = $120.00
$20.00 x 2 = $40.00
$120.00 + $40.00 = $160.00
$400.00 - $160.00 = $240.00
There is $240.00 left in the account.
Which set of three numbers could be the side length of a triangle. A) 5,5,10 B) 3,3,8 C) 5,5,14 D) 3,3,2
Answer:
B, C
Step-by-step explanation:
Chow,...!
an airplane travels 3269 miles in 4 hours. what is the airplanes average speed?
Answer:
817.25 mph is the plane's avg speed
Step-by-step explanation:
Average speed is MPH (miles per hour)
SInce the plane travels 3269 miles in 4 hours, find the unit rate
[tex]\frac{3269}{4}[/tex]
Divide by 4
817.25 mph is the plane's avg speed
39) 18% of 18 is what?
Answer:
3.24
Step-by-step explanation:
Hope this helps :)
Solve the equation and check.
5
n-3 n +5
+
4 7
14
..
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
O B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer: the solution is [tex]n=\frac{51}{11} \\\\\\n=4\frac{7}{11} \\\\n=4.63[/tex]
i gave you the decimal and improper fraction
Step-by-step explanation:
Mutiply both sides by 28
7(n-3)+4(n-5)=10
distribute the 7
7n-21+4(n-5)=10
distribute the 4
7n-21+4n-20=10
combine like terms
11n-21-20=10
11n-41=10
11n-51
n=51/11
Does the following represent a function?
f = [ (3, -1), (2, 5), (4, -6), (3, 4), (5, -8) ]
Answer:
Not a function
Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.
I’m stuck on this question if someone could help me I would highly appreciate:)
Answer:
q is the midpoint of pq and qr
so
pq=qr
or 6x-7=5x+1
or 6x-5x=7+1
or x=8cm length
is this helpful?
please help that’s all i just need to make i’m correct it due tomorrow early so please
Find the lest number which is exactly divisible by 36 & 90 Maths
Answer:
180Step-by-step explanation:
You need to find the HCF of 36 and 90.
Prime factors of each:
36 = 2*2*3*390 = 2*3*3*5HCF includes all prime factors of both numbers:
HCF(36, 90) = 2*2*3*3*5 = 180To find the least number,
Which is exactly divisible by 36 and 90. We have to find the HCF of 36 and 90.
→ 36 = 2 × 2 × 3 × 3
→ 90 = 2 × 3 × 3 × 5
Then the required HCF will be,
→ 2 × 2 × 3 × 3 × 5
→ 180 (HCF)
Thus, 180 is the least number which is exactly divisible by 36 and 90.
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
Solve: |x+2|−1≥5. Write your solution in interval notation.
nswer:
Step-by-step explanat
|x+2| - 1 ≥ 5
|x+2| ≥ 5+1
|x+2| ≥ 6
x+2 ≥ 6 hoặc x+2 ≤ -6
+ với x+2 ≥ 6 x ≥ 6 – 2 x ≥ 4
+ với x+2 ≤ -6 x ≤ -6 – 2 x ≤ -8
(-∝;-8)∪(4;+∝)
Lucy took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $3.80 plus $3 per mile. The total fare was $39.80, not including the tip. Write
and solve an equation which can be used to determine x, the number of miles in the
taxi ride.
Answer:
if you do 39.80/3 it would give you 13.2667 miles and since the tip was not added thats when you dont do anything with that number and 3 because every mile you pay 3$
Step-by-step explanation:
which of the list shows number below in order from least to greates t? -5.9, -23/4, 5.78, 58%
Answer:
-5.9, -23/4, 58%, 5.78
Step-by-step explanation:
Answer:
-5.9, -23/4, 58%, 5.78
Step-by-step explanation:
Write the expression that shows “3 times the sixth power of 10”
Answer:
[tex]3(10^6)[/tex]
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
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Answer:
VP = 214
Step-by-step explanation:
The order of points on the line is KQVP. The whole is the sum of the parts, so we have ...
KQ +QV +VP = KP
(11x +5) +(17x +6) +(14x +4) = x +630
42x +15 = x +630 . . . . . . . . . . . . . . . . . collect terms
41x = 615 . . . . . . . . . . . subtract x+15
x = 15 . . . . . . . . . . divide by 41
Then the measure of VP is ...
VP = 14x +4 = 14·15 +4 = 210 +4
VP = 214
Find the area of this figure. round your answer to the nearest hundredth.
Answer:
The area of the figure is 49.12ft² (nearest hundredth)
Step-by-step explanation:
The area of the figure is the sum of the areas of the right triangle and semi circle that make up the figure.
Note that the radius of a circle is twice its diameter
That means, the radius of the semi-circle is 4 feet
Area of the triangle = 1/2 x Base X Height = 1/2 x 6 ft x 8 ft =24 ft²
Area of the semi circle = 1/2 πr² = 1/2 x 3.14 x 4² = 25.12 ft²
Hence, the area of the figure is:
24 ft² + 25.12 ft² = 49.12 ft²
When having parentheses in a math problem do they come first?
Calculate work by parts. 5x2-23)
Answer:
10-23= -13 is the answer
Answer:
think -13 is the answer
Thank you for all the help
Base=7
Answer:
15½² +b²=8²
15+b²=64
b²=49
b=7
Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?
Answer:
1,05
Step-by-step explanation:
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Answer:
1.05
Step-by-step explanation:
The relative errors are ...
1 : -4.5%1.03 : -1.6%1.05 : +0.3%1.07 : +2.2%Of these choices, the best approximation is 1.05.
_____
A very good rational approximation of π is 355/113, which has a relative error of about 0.0000085%. This makes 355/339 a good approximation of π/3.
The relative error in the value n is ...
(3n/π -1) × 100%
Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
BC=
On a number line, suppose point E has a coordinate of −3,and EG=8.What are the possible coordinates of point G?
The possible coordinates for G are?
Please help!
Answer:
30
Step-by-step explanation:
AC = AB + BC
48 = 2x + 2 + 3x + 6
48 = 5x + 8
48 - 8 = 5x
40 = 5x
40/5 = x
8 = x
Finding BC
BC = 3x + 6
BC = 3(8) + 6
BC = 24 + 6
BC = 30
#2
Coordinate = -3 + 8 = 5
Answer:
BC = 305Step-by-step explanation:
We know that adding AB and BC will give us AC so we can create an equation and solve for x.
2x + 2 + 3x + 6 = 48
~Combine like terms
5x + 8 = 48
~Subtract 8 to both sides
5x = 40
~Divide 5 to both sides
x = 8
Now that we know the value of x, we can solve for BC.
= 3(8) + 6
= 24 + 6
= 30
I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.
-3 + 8 = 5
Best of Luck!
Hello so can someone help me with this problem. My teacher doesn't explain it very well </3
[tex] t= 50 + \frac{n - 4}{4} [/tex]
switch sides
[tex]50 + \frac{n - 4}{4} = t[/tex]
subtract 50 from both sides
[tex]50 + \frac{n - 4}{4} - 50 = t - 50[/tex]
simplify
[tex] \frac{n - 4}{4} = t - 50[/tex]
simplify
[tex] \frac{n - 4}{4} = t - 50[/tex]
multiply both sides by 4
[tex]4 \frac{(n - 4)}{4} = 4t - 4 \times 50[/tex]
simplify
[tex]n - 4 = 4t - 200[/tex]
add 4 both sides
[tex]n - 4 + 4 = 4t - 200 + 4[/tex]
[tex] n = 4t - 196[/tex]
If f(x) = 3x - 4 and g(x)=x?, find the value of
f(3) - g(2)
A) 4
B) 9
C) 1
D) 7
Answer:
C) 1
Step-by-step explanation:
f(x) = 3x - 4 when x = 3
= 3(3) - 4
= 9 - 4
= 5
g(x) = x^2 when x = 2
= 4
Subtract both values.
5 - 4 = 1
Best of Luck!
HELP ASAP: I WILL MARK BRAINLIEST SOMEONE PLEASE HELP!!
Answer:
Step-by-step explanation:
Please see the picture below
[-3 1/4] greater or less than [-4]
Answer:
[-3 1/4] is greater than [-4]
Step-by-step explanation:
When doing negative numbers greater or less than problems, you always want to look for the smallest negative. This is because the smaller a negative is, the greater it is that a bigger negative number
I need help in 7th grade math
Answer:
27
Step-by-step explanation:
first, you multiply:
6×7-3(4+1)
42-3(4+1)
now add:
42-3(4+1)
42-3×5
Multiply again:
42-3×5
42-15
calculate:
42-15=27
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large\sf \: 6 \cdot 7 - 3 ( 4 + 1 )[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large\sf \: 6 \cdot 7 - 3 ( 4 + 1 )[/tex]
Multiply 6 and 7 to get 42.[tex] \large \sf42-3\left(4+1\right) [/tex]
Add 4 and 1 to get 5.[tex] \large \sf42-3\times 5 [/tex]
Multiply 3 and 5 to get 15.[tex] \large \sf42-15 [/tex]
Subtract 15 from 42 to get 27.[tex] \large \boxed{\boxed{\boxed{ \mathfrak{ \bold{27} \: is \: the \: correct \: answer}}}}[/tex]
Help Please For Math Class
Answer:
the answer is B D and A.
Step-by-step explanation:
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.......... ......................
Answer:
what do you need help on?