It's true that co-prime number is divisible by their product.
Co-prime numbers are pairs of numbers that do not have any common factor other than 1.
e.g., ( 4,7), (2,3), (5,7,9) etc.
Let's take two co-prime numbers i.e., x and y i.e., (x, y)
The product of them is ( x × y)
Therefore,
x × y/ x = y ,and x × y/ y = x
Lets understand with an example,
Let's take two co-prime be (2,5), its product be 2×5 = 10
so when we divide product with the number i.e., 10/2=5 and 10/5=2 which is divisible.
Therefore the co-prime number is divisible by their product.
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Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his starting point? (5 points)
Situation (B) best describes how a baseball player travels a total distance of zero meters from his starting point, that is, the player runs 3 meters forward and then 3 meters in the opposite direction.
What is the distance?Distance is a numerical or quantifiable measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over"). Because spatial thinking is a rich source of conceptual metaphors in human thought, the term is also frequently used figuratively to mean a measurement of the amount of difference between two common pieces (such as statistical distance between probability distributions or edit distance between text strings) or a degree of detachment (as exemplified by the distance between people in a social network). The concept of a metric space is used in mathematics to formalize most such notions of distance, both physical and metaphorical.According to the options:
Options (A), (C), and (D) is wrong as there the basketball travels some sought distance from the starting point. It is only in option (B) in which the total distance of the baseball player comes to 0 as he runs 3 meters forward and then runs 3 meters in the opposite direction.Therefore, situation (B) best describes that the total distance a baseball player travels is zero meters from his starting point that is, the player runs 3 meters forward and then runs 3 meters in the opposite direction.
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The complete question is given below:
Which of the following describes a situation in which the total distance a baseball player travels is 0 meters from his starting point? (5 points)
a) The player runs 4 meters forward and then runs 3 meters in the opposite direction.
b) The player runs 3 meters forward and then runs 3 meters in the opposite direction.
c) The player runs 3 meters forward and then runs 4 meters in the opposite direction.
d) The player runs 3 meters forward and then runs 0 meters in the opposite direction.
A portion of the periodic table is shown below. Which column of elements would be most likely to chemically combine with sodium in a 1:1 ratio?
Step-by-step explanation:
chlorine cl when combines with sodium na
Nacl will form so chlorine
HELPP PLEASE 70 POINTS
what’s the answer to this???
you have to find where it increases, decreases, and where it’s constant….
help..
Important Please Help!!!!
Answer:
angle bisector
Step-by-step explanation:
the construction shows an angle bisector.
the line EG bisects ∠ FED
Watch help video
Adriel drove 216 miles in 8 hours. If he continued at the same rate, how far would he
travel in 3 hours?
Answer:
miles Submit Answer
SAMSUNG
attempt 1 out of 2
Answer:
bkjjb.l kkllkk kk. lkm j. km j. kk. k mgdv. nutdc
Please help me it doesn't have to be quickly just help
Answer:
3 to the power of 3
Step-by-step explanation:
Answer:
1. 8x
2.4x^2
3.3^x
Step-by-step explanation:
I took the test
PLEASE PLEASE PLEASE ANSWER CONFIDENTLY
Evaluate the expression when p = 5
-|-3p|
Answer:
-15
Step-by-step explanation:
p = 5
- | -3(5 | = - | -15 | = - | 15 | = -15
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -2 ≤ x ≤ 3? -10 Go -8 -6 -4 -2 100 80 60 20 -20 -40 -60 -80 -100 2 8 10
Answer:
1 + 1 = 2 a i esta la respjesta
Step-by-step explanation:jijiji
8. Mason read 12 books in 4 months. If he reads at a
constant rate, how many books did he read each month?
Give your answer as a whole number or a FRACTION in
simplest form.
What are the values of (-2)^4 and -2^4?
8 and -8
16 and 16
-8 and -8
16 and -16
A rectangular hotel room has a perimeter of 72 feet. Its area is 320 square feet. What are the dimensions of the room?
Answer
Step-by-step explanation:
The diameter of a cylindrical container is 22cm. If the volume of the container is 1331cm³, calculate its height.
Answer:
3.5cm
Step-by-step explanation:
Vol=πr²h
Transposing for h,=vol÷πr²
where r=22/2=11cm and taking π=3.142
h=1331/(3.142×(11)²)=3.5cm
33/25 as a decimal rounded to the nearest tenth
Answer:1.3
Step-by-step explanation:
33/22=1.32
Round to nearest 10th
1.32=1.3
The quotient of 24 and d
Answer:
The quotient of 24 and d would be [tex]\frac{24}{d}[/tex]
Step-by-step explanation:
Quotient is the answer of a division problem. So, you would divide 24 by d.
BE is the perpendicular bisector of AD. Find the value of each variable.
14. AC = 5x - 7 and DC = 8x - 28
15. m/ACB = (7y - 8)°
Answer:
ac =13x-35
m/abc = 7y-8
Step-by-step explanation:
in first to minus of same base
second it remain same because it can't be subracted with different base
What is the remainder for 3,167 / 28
45 POINTS!!!
Answer:
113 with a remainder of 3
Step-by-step explanation:
A town's population is 42,975 . About 125 people move out of the town each month. Each month, 175 people on average move into town. A nearby town has a population of 45,225. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
The number of months when they will be equal is 45 months.
How to calculate the equation?The equation for the first town will be:
= 42975 + 125x
The equation for the second town will be:
= 45225 + 175x
The number of months when the populations of the towns will be equal will be:
42975 - 125x = 45225 - 175x
- 125x + 175x = 45225 - 42975
50x = 2250
x = 2250 / 50
x = 45
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The width of a rectangle measures (10p - 9q) centimeters, and its length measures
(7p+8q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
The expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l+w)
l = (7p+8q) cm
w = (10p - 9q) cm
Substitute
P = 2(7p+8q+10p-9q)
P = 2(15q+p)
P = 30q + 2p
Hence the expression represents the perimeter, in centimeters, of the rectangle is P = 30q + 2p
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pls help shading inequalities
The three inequalities that satisfies all the points in the unshaded region of the graph of inequalities are;
The three inequalities that satisfies all the points in the unshaded region are;
x ≤ 5y ≤ 102•x + y ≥ 10What are the inequality notation that can be used to represent the unshaded region.1) The inequality that represents the unshaded region to the left of the vertical dashed line at x = 5 is found as follows;
A region to the left of a vertical dashed line in inequality is represented by the less than or equal to symbol, ≤. The region to the right is represented by ≥
The region to the left of the dashed line, x = 5 is therefore;
x ≤ 5.2) The region located below the dashed line y = 10 is represented by the inequality;
y ≤ 103) The slope, m, of the dashed line that extends from point (0, 10) to point (5, 0) is given by the equation;
m = (0 - 10)/(5 - 0) = -2
The equation of the line is therefore;
y - 0 = -2 × (x - 5) = -2•x + 10
y = -2•x + 10
Which gives;
y + 2•x = 10
2•x + y = 10
The inequality that represents the region to the right of the line 2•x + y = 10 is therefore;
2•x + y ≥ 10
The compound inequality, that represents the unshaded region is therefore;
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the teacher separated her class of fifty-eight students into two groups. one group has 6 more than thrice as many students as the other group. how many students are in each group?
Students in one group is 45
Students in another group is 13
teacher separated her class of fifty-eight students into two groups
Number of groups =2
one group has 6 more than thrice as many students as the other group
Let one group has x students
another group has y students
x+ y = 58 . . . . . 1
x= 6+3y
Substitute x= 6+3y in . . . 1
6+3y +y = 58
4y=52
y=13
x=6+3y=6+3(13)
= 6+39
= 45
Students in one group is 45
Students in another group is 13
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Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
The equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation of the parabola is y = 2 · x · (x - 4).
What is the equation of the parabola seen in a graph?
Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:
y - k = C · (x - h)²
Where:
(h, k) - Vertex of the parabola.C - Vertex constantBy direct inspection we find that the equation of the parabola has a vertex at (h, k) = (2, - 8) and the point (x, y) = (4, 0). Then, the vertex constant is:
C = (y - k) / (x - h)²
C = (0 + 8) / (4 - 2)²
C = 8 / 4
C = 2
Then, the equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation is determined by algebra:
y + 8 = 2 · (x - 2)²
y = 2 · (x - 2)² - 8
y = 2 · (x² - 4 · x + 4) - 8
y = 2 · x² - 8 · x + 8 - 8
y = 2 · x² - 8 · x
y = 2 · x · (x - 4)
The factored form of the equation of the parabola is y = 2 · x · (x - 4).
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Do you think it would be better to use breaking apart in the distributive property or compensation to find the product of five times 328? explain why and show how to find the product.
Yes it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .
what is distributive property?
This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding or substracting the results together .like in subtraction A(B-C)= AB-AC
In other words, an equation of the type A (B+C) can be solved as A (B+C) AB+AC in accordance with the distributive property.
This characteristic also holds for subtraction.
5 x 328
= 5(300+28)
= 5 x 300 + 5 x 28
= 1500 + 140
= 1640
Hence, it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .
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Convert 5.764764764 ... to a rational expression in the form of a over b , where b ≠ 0
If x = 5.764764764…, then 1000x = 5764.764764764…, so that
1000x - x = 5764.764764764… - 5.764764764…
999x = 5759
x = 5759/999
find the absolute value |-2|
Answer:
2.
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between −2 and 0 is 2.
Hope this helps.
Answer:
2
Step-by-step explanation:
Let's solve the equation step by step
|-2|
= 2
At 9:00 AM the temperature was -15°C in Anchorage. The
proceeded to rise 4°C each hour. What was the
at 2:00PM.
CAN SOMEONE HELP ME WITH THIS QUESTION
Answer:
5°C
Step-by-step explanation:
(add 4 each hour)
9AM:-15°C
10AM:-11°C
11AM:-7°C
12AM:-3°C
1AM:1°C
2AM:5°C
On a shopping trip, Jeffery buys 3 sweaters and 5 pairs of jeans for $160. Eric also purchases 6 sweaters and two pairs of jeans for the same price. What is the difference in price of a sweater and one pair of jeans?
Answer:
Step-by-step explanation:
It would most likely be 0, but I am not sure.
what is the answer for b?
Answer:
4
Step-by-step explanation:
2+2=4 dummy
four points, a, b, c, and d, lie on a circle having a circumference of 17 units. b is 5 units counterclockwise from a. c is 3 units clockwise from a. d is 11 units clockwise from a and 6 units counterclockwise from a. what is the order of the points, starting with a and going clockwise around the circle?
The order of the points starting with a and going clockwise around the circle is;
a ⇒ c ⇒d ⇒b
Here,
Four points, a, b, c, and d, lie on a circle having a circumference of 17 units.
b is 5 units counterclockwise from a.
c is 3 units clockwise from a.
d is 11 units clockwise from a and 6 units counterclockwise from a.
We have to find, The order of the points starting with a and going clockwise around the circle.
What is Circumference of circle?
The circumference is the distance around a circle or any curved geometrical shape.
Now,
b is 5 units counterclockwise from a.
b ⇒ a
c is 3 units clockwise from a.
b ⇒ a ⇒ c
d is 11 units clockwise from a and 6 units counterclockwise from a.
d ⇒ b ⇒a ⇒ c ⇒d
So, when we draw all points on circle we get;
The order of the points starting with a and going clockwise around the circle is;
a ⇒ c ⇒d ⇒b
This is shown in figure.
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Fill in the missing amounts (do not use commas or decimal points.)
Here are the missing amounts :
A = $2100
B = $300
C = $50
D = $270
E = $945
F = $1,345
What are the missing amounts?
Receipts represents income to the company. It is a source of cash inflow. Expenses represents cash outflow. Net cash flow is the difference between receipts and expenses. Cumulate balance is the sum of the net cash flow of the previous periods and the net cash flow of the present period.
A = Net cash flow + expenses
1975 + 125 = 2100
B = Receipts - expense
$2225 - $1925 = $300
C = Receipts - expense
$2050 - $2000 = $50
D = Net cash flow = $270
E = cumulative balance in April + net cash flow in May
$570 + $375 = $945
F = = cumulative balance in July + net cash flow in August
$1120 + $225 = $1,345
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