Answer:
311 x 27 = 8397
Step-by-step explanation:
first find the factors of your number 8 397 by dividing continuously starting with the smallest value
8397/3 = 2799
2799/3 = 933
933/3 = 311
311/311 = 1
therefore 311 x (3 x3 x3) = 8397
311 x 27 = 8397
find the dimensions of a rectangle that has a length 3 inches longer than it’s width and has an area of 40in^2
Answer
length: 8 inch and width: 5 inch
Explanation
Let width be x,
then the length: x + 3
solve:
[tex]\sf (x+3)(x) = 40[/tex]
[tex]\sf x^2+3x = 40[/tex]
[tex]\sf x^2+3x-40=0[/tex]
[tex]\sf x^2+8x-5x-40=0[/tex]
[tex]\sf x(x+8)-5(x+8)=0[/tex]
[tex]\sf (x-5)(x+8)=0[/tex]
[tex]\sf x = 5 \ or \ -8[/tex]
As width cannot be negative, width will be 5.Find for length:
[tex]\sf x + 3[/tex]
[tex]\sf 5+ 3[/tex]
[tex]\sf 8[/tex]
Change the following mixed number to an improper fraction. Reduce if possible.
7 81/1000
The answer is 7081/1000
Step-by-step explanation:
7 = 7×1 = 7×1000/1000 = 7000/1000
7000/1000 + 81/1000 = 7081/1000
this can't be further simplified, as the only factors of 1000 are
2 and 5 and then multiples of them.
neither of them can be a factor of 7081 (which is clearly neither an even number nor a multiple of 5).
Find the slope of the line
A 1
B -2
C -1
D 2
Pls help
A ship is stationary at sea. A tugboat is 28 km away at a bearing of 315°, and a yacht is 21 km from the tugboat at a bearing of 210°. Draw a scale diagram showing the positions of the three vessels. Use a scale of 1 : 350,000. Measure the distance from the ship to the yacht to the nearest km.
The distance of the yacht from the ship is found by accurately drawing
the relative location of the three vessels.
Response:
The measured distance of the yacht from the ship is approximately 30 km.Which drawing method can be used in which the distance of the yacht from the ship can be measured?The given parameters are;
Distance of the tugboat from the ship, a = 28 km
Bearing of tugboat from the ship = 315°
Distance of the yacht from the tugboat, b = 21 km
Bearing of the yacht from the = 210°
Using a scale of 1 : 350,000, we have;
[tex]The \ drawing \ of \ a = \mathbf{\dfrac{28,000}{350,000} }= 0.08[/tex]
The length of a in the drawing = 0.08 m = 8 cm
[tex]The \ drawing \ of \ b = \mathbf{\dfrac{21,000}{350,000}} = 0.06[/tex]
Which gives;
b in the drawing = 0.06 m = 6 cm
Using the above dimensions and directions, the drawing of the relative
location of the three vessels can be accurately created using MS Word.
From the application, the vector form of the distance, d, of the ship from the yacht is presented as follows;
d = 8.655·i + 0.445·jWhich gives;
d = √(8.655² + 0.445²) = 8.67
Which gives;
Distance of the yacht from the ship on the drawing is d ≈ 8.67 cm = 0.0867 mActual distance = 0.0867 m × 350,000 = 30,345 m = 30.345 km ≈ 30 km
The distance of the yacht from the ship ≈ 30 kmUsing cosine rule, where the angle formed at the tugboat = 75°, we have;
d² = 28² + 21² - 2 × 28 × 21 × cos(75°) ≈ 920.63
Which gives;
d ≈ √(920.63) ≈ 30
The distance of the yacht from the ship, d ≈ 30 km
Learn more about bearings in mathematics here:
https://brainly.com/question/10710413
Mr. Sanchez’s class sold fruit pies for $1.65 each, and Mr. Kelly’s class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. Write and solve a system of equations to determine how many pies and how many bottles of juice were sold.
46 pies and 33 bottles of juice
37 pies and 42 bottles of juice
33 pies and 46 bottles of juice
42 pies and 37 bottles of juice
I need an answer on how many pies and bottles of juice it is.
Answer:
37 pies and 42 bottles of juice
Step-by-step explanation:
Let x be pies and y be juice
x+y=79 represents # of items sold
1.65x+1.36y=118.17 represents how many of each to make $118.17 based on cost
y=-x+79
1.65x+1.36(-x+79)=118.17
x=37
79-37=42
Classify the following numbers as Natural, Whole number, irrational, non real, rational
[tex] \sqrt{111} [/tex]
Answer:
sqroot(111) is irrational.
Step-by-step explanation:
Natural are 1, 2, 3, 4...
Whole are 0, 1, 2, 3...
Irrational are decimals that don't end or repeat. Sqroot(111) is 10.535653752...
Nonreal have an i, the imaginary number.
Rational are fractions (or can be written as a fraction) or decimals that end or repeat.
Use the following data set to complete the problems.
23, 26, 50, 39, 55, 64, 50, 20, 42, 35, 51, 42, 43, 56, 64, 48, 48, 57, 27, 37
1. List the data values in order from lowest to highest.
A-
2. Find n, the number of data values.
A-
3. Find the width for a frequency distribution with 5 classes of equal width.
A-
4. Create a frequency distribution table.
A-
5. Show that the frequencies in the table add up to the sample size.
A-
6. Create a histogram.
A-
*The images is the way you do the work*
Answer:
The interval 44-47 has a frequency of 3 .
The interval 48-51 has a frequency of 4.
The interval 56-59 has a frequency of 1.
The given data set is:
42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59
The number lying in the interval 44-47 are :46, 47, 47
So the interval 44-47 has a frequency of 3.
The number lying in the interval 48-51 are :48, 49, 50, 51
So, the interval 48-51 has a frequency of 4.
The number lying in the interval 56-59 is: 59
So, the interval 56-59 has a frequency of 1.
Step-by-step explanation:
evuate the equation r/10 = (-6)
A. r = 60
B. r = 16
C. r = -16
D. r = -60
Answer:
D
Step-by-step explanation:
r/10 = -6
So r = -6x10
= -60
Evaluate the indicated function for f(x)=x2- 6 and g(x)=x+ 4.
(fg (1)
Answer:
I think that is going to be x-3
It takes Andre 4 minutes to swim 5 laps. How many laps per minute is that?
pls what is this
It takes Andre 1.25 minutes to swim a lap.
Step-by-step explanation:
QUESTION 7
+ EL
Find the error in the problem below. Then give the correct answer.
2x + 6 = x-4
3x + 6 = -4
3x = -10
x = -10/3
Answer:
[tex]2x + 6 = x - 4 \\ x = - 2[/tex]
what does sin^2 x - cos^2 x equal
Answer:
-cos(2x)
Step-by-step explanation:
I did trig last year and tutor a trig class this year :)
Determine a possible 3rd degree polynomial function in factored form with its only zeros at (4,0) and (-1,0) and (-7,0)
The coordinates of the point V are (3,-10) and the coordinates of point W are (3,-3). What is the distance, in units, between the point V and point W?
Answer:
I
Step-by-step explanation:
werwewr
determine all combinations of lengths that could be used to make a traingle 1,3,6,8
Answer:
3, 6, and 8 for a triangle
Step-by-step explanation:
So, let's start with what we know
The sum of the 2 lesser lengths of a triangle must be greater than the greatest length of a triangle. Otherwise, it cannot be a triangle
a + b > c
Note: variables a and b are the lesser lengths of a triangle, and c is the greatest length.
We are to list out the possible combinations of triangles here with lengths 1, 3, 6, and 8.
So, with the formula above, we will get the combination of
3,6,8
Any other combinations of triangle lengths will not work
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
The diameter of a circle is 14 yards. What is the circle's circumference?
Answer:
The circle's circumference is equal to 14π yards.
General Formulas and Concepts:
Geometry
Circumference of a Circle Formula: C = πd
d is the diameter of the circleStep-by-step explanation:
Step 1: Define
Identify.
d = 14 yds
Step 2: Find Circumference
Substitute in variables [Circumference Formula]: C = 14π ydsTopic: Geometry
x + 6 - 3 = 4x + 8
solve for x
Answer:
x= -3/5
Step-by-step explanation:
x+3=4x+8
-8 -x
-5 = 3x
-5/3 = x
Answer:
[tex]x=-\frac{5}{3}[/tex]
Step-by-step explanation:
x + 6 - 3 = 4x + 8
x + (6 - 3) = 4x + 8
x + 3 = 4x + 8
- 4x - 4x
-3x + 3 = 8
- 3 - 3
-3x = 5
/-3 /-3
[tex]x=-\frac{5}{3}[/tex]
Hope this helps!
Solve the following inequality then place the correct answer in the box provided 8x-1<15
Answer:
x < 2
Step-by-step explanation:
8x -1 < 15
Add both side by 1 : 8x < 16
x < 16/8 => x < 2
Ivan has a piece of material that is 4 feet long. He cuts it into 7 equal pieces. Which equation shows how to find the length, in feet, of each piece of material?
You have not provided the options, but this solution is an equation that will work:
Answer:
4 / 7 = x
Step-by-step explanation:
Since the total material is 4 feet long, we can divide 4 feet by 7, the number of equal pieces cut, to see how long each piece is.
This gives us an answer of 4/7 or about 0.571
what fraction of the books read thisyear were read by Jim?
pls explain
Answer:
16/70 = 8/35
Step-by-step explanation:
Jim read 16 books.
Everyone, all together read
16+4+10+8+14+6+12
=70 books.
Jimsbooks/Totalbks
16/70
= 8/35
Jim read 8/35 of the total books read.
Find the probability of having 2, 3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
p = [?] %
Round to the nearest tenth of a percent.
Answer:
16% for 2 successes, 6.4% for 3 successes, 2.6% for 4 successes, and 1% for 5 successes
Step-by-step explanation:
Since the success rate of a binomial experiment is 40%, converted to 0.4, you get the equation of f(x) = (0.4)^x, for where x is the amount of successful experiments
For the success of 2 experiments:
f(2) = (0.4)^2
=0.16 => 16%
For the success of 3 experiments:
f(3) = (0.4)^3
= 0.064 => 6.4%
For the success of 4 experiments:
f(4) = (0.4)^4
= 0.0256 => 2.56% => ~2.6
For the success of 5 experiments:
f(5) = (0.4)^5
= 0.01024 => 1.024% => ~1%
Your welcome and comment if you have any questions :)
Solve by using subitution
Please explain your steps and explain why it's no solution thanks :)
2x-y=2. Y=2x+1
Answer:
No Solutions
Step-by-step explanation:
1. Substitute the 2x + 1 in for the y in the first equation. Rewrite it as 2x - (2x + 1) = 2.
2. Add the opposite and change the equation to 2x + -1(2x + 1) = 2.
3. Use the distributive to make the equation look like this: 2x + -2x + -1 = 2
4. Combine like terms and add 2x and -2x. They cancel each other out.
5. You will end up with -1 ≠ 2. Since -1 and 2 are not equal, there are no solutions.
Find the measure of the missing ANGLE.
30 degrees
35 degrees
50 degrees
55 degrees
Answer:
35°
Step-by-step explanation:
m<Q = (1/2)m(arc)RP
m<Q = (1/2)(70°)
m<Q = 35°
At a cost of $8 per pound how many ounces of almonds can be bought for $2.05
Answer:
4.1 Ounces can be bought
Step-by-step explanation:
1 Pound = 16 Ounces
16Oz. = $8
Divide both by the common factor of Eight (8)
16/8 = 2 Oz.
8/8 = $1
2 Oz = $1
1 Oz. = .50
2.05/.50 = 4.1
If each ounce cost .50 cents 4.1x.50 should equals $2.05
and .50x16 should be 8
What percentage is a solution that 20 grams of medication per 100mL of solution
Answer:
20%
Step-by-step explanation:
100mL is the same has 100 grams. Therefore 20 grams of a 100 gram solution would be 20% of the solution.
Which number line shows the solutions to x + 6 < 13?
Answer:
The correct answer is C.
Step-by-step explanation:
When you solve for the inequality, you subtract 6 from 13 to get x < 7. because the inequality doesn't include the value of 7, the circle point on the number line is open.
What is 9 to the 2nd power in standard form
Answer:
9*9 or 9 with the 2 at the top
Step-by-step explanation:
if 25 ml of milk is required to make 1 cup of tea then find how many cups of tea we can make out of 25 litres of milk
Answer:
1000
Step-by-step explanation:
Well if there are 1000 ml in one L and we have 25 L of of milk and it requires 25 ml of milk per cup of tea we would first convert 25 L to ml to get 25000 ml of milk with that answer we then divide 25000 by 25 to get 1000.
HELP MEEEE I WILL GIVE BRANLEST
Answer:
0.75
Step-by-step explanation:
1/4 is a quarter. A quarter is 0.25 0.25*3=0.75
Answer: 3/4 is 0.75 as a decimal!! i do this math 2 ;D
Step-by-step explanation:
Henry's family drove 425 miles. How many more
miles do they need to drive to reach 1,000 miles?
Answer:
I'm pretty sure the answer is 575 :D
Step-by-step explanation:
1,000 minus 425 is 575. have a good day!
