The required quotient would be 66 8/25 or 66.32 which is determined by dividing 1,658 by any divisor 25.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have to determine the quotient.
⇒ 1,658 ÷ 25
Apply the Division operation, and we get
⇒ 1,658 / 25
⇒ 66.32
⇒ 66 8/25
Therefore, the required quotient would be 66 8/25 or 66.32.
Learn more about the quotient here:
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Find the value of the variable. if Y is between X and Z.
segment XY = 4a and segment YZ = 9a and segment XZ = 6a+24
Answer:
[tex]\bold{a = \dfrac{24}{7}}[/tex]
Step-by-step explanation:
Kindly refer to the attached for the values labelled to the line XZ.
The point Y is in between XZ.
It can be clearly observed that XZ is made up of sum of two lines XY and YZ.
So, we can write:
XZ = XY + YZ ....... (1)
We are given the values of line segments:
XY = 4a
YZ = 9a and
XZ = 6a+24
To find: Value of variable 'a'.
Solution:
Putting all the values in equation (1):
[tex]6a+24 = 4a + 9a\\\Rightarrow 6a+24=13a\\\Rightarrow 7a=24\\\Rightarrow \bold{a = \dfrac{24}{7}}[/tex]
So, value of variable is
[tex]\bold{a = \dfrac{24}{7}}[/tex]
Prove that a positive integer $n \geq 2$ is prime if and only if there is no positive integer greater than $1$ and less than or equal to $\sqrt{n}$ that divides $n$
Answer:
Proof given by contradiction.
Step-by-step explanation:
Given that:
[tex]n \geq 2[/tex]
To prove:
[tex]n[/tex] is prime if and only if no positive integer > 1 and [tex]\leq[/tex] [tex]\sqrt n[/tex] divides [tex]n[/tex].
Solution:
First of all, let [tex]n[/tex] is a composite number i.e. not a prime number such that:
[tex]n =a\times b[/tex]
and [tex]a[/tex] and [tex]b[/tex] are prime and [tex]a[/tex] divides [tex]n[/tex] and [tex]b[/tex] also divides [tex]n[/tex].
Let [tex]\sqrt n = p[/tex]
or [tex]n = p\times p[/tex]
1. [tex]\underline{a < p}[/tex]:
[tex]a[/tex] is prime and is a divisor of [tex]n[/tex].
2. [tex]\underline{a>p}[/tex]:
[tex]n = a\times b = p\times p[/tex]
We have assumed that [tex]a > p \Rightarrow b <p[/tex]
[tex]b[/tex] is a prime number and is a divisor of [tex]n[/tex].
But we are given that no prime number [tex]\leq \sqrt n[/tex] divides [tex]n[/tex] but we have proved that [tex]b < \sqrt n[/tex] divides [tex]n[/tex].
So, it is a contradiction to our assumption.
Therefore, our assumption is wrong that [tex]n[/tex] is a composite number.
Hence, proved that [tex]n[/tex] is a prime number.
I WILLGIVE BRAINLIEST!!!!!!! Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid: What set of transformations is performed on ABCD to form A′B′C′D′? A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Answer:
Step-by-step explanation:
Answer:
(A) A translation one unit to the left followed by a 180-degree rotation.
Step-by-step explanation:
I figured this out by seeing that ABCD was one unit too far from the x=0 line than A’B’C’D. To get it the same distance, we move it left one, which is the same as transforming one unit to the left.
Now, we can see that the coordinates are opposite of each other - this signifies a 180° rotation around the origin.
So, it’s a transformation one unit to the left and a 180° rotation around the origin.
Hope this helped!
Negative five times a number, x, decreased by the product of two and the quantity of x increased by three is less than or equal to four decreased by triple the number, x. Which of these represents the inequality needed to solve the for the number and its solution? A. The inequality is −5x−2x+3≤4−3x and its solution is x≥−14 . B. The inequality is −5x−2(x+3)≤4−3x and its solution is x≥−52 . C. The inequality is −5x−2x+3≤4−3x and its solution is x≤−14 . D. The inequality is −5x−2(x+3)≤4−3x and its solution is x≤−52
Left Side
if x = a number
five times a number means 5 · a number = 5 · x
add a negative sign; -5·x
simplify; you don't need the multiplication symbol; -5x
minus 2·x = -2x
plus 3 = +3
-5n-2x+3
Sign
less than or equal to = ≤
Right Side
triple of x = 3·x = 3x
4 minus triple of x = 4-3x
4-3x
The final inequality is -5x-2x+3 ≤ 4-3x
♡ Hope this helps! ♡
❀ 0ranges ❀
What is the square root of -1
-i
i
-1
1
Answer:
i
Step-by-step explanation:
√-1 is always going to be imaginary i
That is a math rule needed to memorize.
Answer:
i
Step-by-step explanation:
Please Help! 15 Points. Which of the following properties were used to rewrite the expression (8u)v+9w as 9w+8(uv)? There are two correct answers. A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
Answer:
A. Commutative Property of Addition D. Associative Property of MultiplicationStep-by-step explanation:
The commutative property lets you swap the order of operands. Here, the operands for addition, (8uv) and (9w), are interchanged. The Commutative Property of Addition lets you do that.
__
The associative property lets you group operands differently. Here, the operands in the product 8uv are changed from the grouping (8u)v to the grouping 8(uv). The Associative Property of Multiplication lets you do that.
Answers:
A. Commutative Property of Addition &D. Associative Property of MultiplicationStep-by-step explanation:
Now let's see why these are the correct answers:
___________________________________________________________
Commutative Property of Addition states that changing the order of the addends will not affect the sum. For example 5 + 4 and 4 + 5 are both 9.
Here, this is a correct answer because 9w is moved from the end of the equation to the front.
___________________________________________________________
Commutative Property of Multiplication states that changing the order of multiplicands does not change the product. For example 5 x 2 and 2 x 5 both equal 10.
Here, this is not a correct answer because the multiplicands are associated differently in the parentheses.
___________________________________________________________
Associative Property of Addition states that the way in which addends are grouped within parentheses doesn't change the sum. For example (2 + 3) + 4 or 2 + (3 + 4) both equal 9.
Here, this is not a correct answer because the addends are not in parentheses, which is the only time this property applies.
___________________________________________________________
Associative Property of Multiplication states that the way in which multiplicands are grouped within parentheses does not affect the product. For example 2 x (2 x 2) and (2 x 2) x 2 both equal 8.
Here, this is a correct answer because the multiplicands are within parentheses and are regrouped in the second equation, the (8u)v having been regrouped as 8(uv).
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)what’s the answer choice?????
Answer: C
Step-by-step explanation:
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
x2 + x = 42
x2 + 2x = 42
x2 + x + 42 = 0
x2 + 2x + 42 = 0
Answer:
[tex] x^2 + x = 42[/tex]
Step-by-step explanation:
Let the required number be x
Therefore, it's square = [tex] x^2 [/tex]
[tex] \therefore \: x + {x}^{2} = 42 \\ \huge \red{ \boxed{{x}^{2} + x = 42}}[/tex]
Answer:
the answer is a
Step-by-step explanation:
What is the distance from the directrix (the Crocodile River) to the point (x,y)? Write this equation. Your answer will contain a y-term.
Answer:
4
Step-by-step explanation:
. Multiply (5x2 + x − 4)(x + 2).
Answer: 5x2+3x -dx x3 2x2
Step-by-step explanation:
How many terms are in the expression shown below?
5x + 3y - 6
Answer: 3 terms
Step-by-step explanation:
each term is separated by the plus or minus symbol
Answer:
3 terms
Step-by-step explanation:
5x + 3y - 6
We cannot combine any terms so there are 3 different terms
5x, 3y, -6
Is the square root of 100 000 000 irrational
Answer:
No.
Step-by-step explanation:
100 000 000 = 10^8
So its square root = (10^8)^1/2
= 10^4
= 10,000.
which is rational.
You can check out this answer on a calculator. It is correct.
Click an item in the list or group of pictures at the bottom of the problem and, holding the
correct position in the answer box. Release your mouse button when the item is place.
Factor completely and then place the factors in the proper location on the grid.
x2 - 10x + 24
For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy? A. 1 B. $18 C. g D. $2.78
Answer:
Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Step-by-step explanation:
cost of gas per gallon = $2.78
it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.
Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.
Let the quantity of gas bought be x gallon.
Total cost for x gallons = cost of gas per gallon*x = 2.78x
Given that total money paid by him is $18
2.78x = 18
x = 18/2.78 = 6.47
Thus, Cory bought 6.47 gallons
rate of change is $2.78 per gallon
solve the inequality 12(1/2x-1/3)>8-2x
Answer:
The answer is
[tex]x > \frac{3}{2} [/tex]Step-by-step explanation:
[tex]12( \frac{1}{2} x - \frac{1}{3} ) > 8 - 2x[/tex]Expand the terms in the bracket
That's
[tex]6x - 4 > 8 - 2x[/tex]Move - 2x to the left side of the inequality to make it positive
[tex]6x + 2x - 4 > 8 \\ 8x - 4 > 8[/tex]Add 4 to both sides
That's
[tex]8x - 4 + 4 > 8 + 4 \\ 8x > 12[/tex]Divide both sides by 8
[tex] \frac{8x}{8} > \frac{12}{8} [/tex]We have the final answer as
[tex]x > \frac{3}{2} [/tex]Hope this helps you
PLEASE HELP DUE VERY SOON!! Solve for x. A. 5 B. 3 C. 7 D. 4
Answer:
A
Step-by-step explanation:
in triangle ABC, angle b = 45 degree, angle c =55 degree,AD bisects angle A,find angle ADB and Angle ADC
Answer:
angle a + angle b + angle c = 180 (angle sum property)
a + 45+55= 180
a + 100 = 180
a = 180-100
a= 80
AD bisects angle a
i.e angle ADB= angle ADC
angle ADB + angle ADC = 80
angle ADB + angle ADB =80
2angleADB= 80
angle ADB = 80/2
angle ADB = 40
angle ADB = angle ADC
40 = angle ADC
plz mark as brainliest
what is 11 to the power of 8 over 11 to the power of 4 equivalent to
Answer:
14,641.
Step-by-step explanation:
214,358,881 ÷ 14,641 = 14,641.
Factor the trinomial below.
x² + 5x – 24
O A. (x-8)(x+3)
O B. (x-3)(x+8)
O C. (x - 4)(x+6)
O D. (x-6)(x+4)
Answer:
B.(x-3)(x+8)
Step-by-step explanation:
product of -3 and 8 is -24 and sum of -3+8 is +5
Answer:
(x+8) (x-3)
Step-by-step explanation:
x² + 5x – 24
What 2 numbers multiply to -24 and add to 5
8*-3 = -24
8+-3 = 5
(x+8) (x-3)
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Answer:
y = (-2/3)x + 490
Step-by-step explanation:
Our given equation is 2x + 3y = 1,470.
First subtract 2x from both sides of the equation:
3y = 1470 - 2x
Next divide both sides by 3:
y = 490 - (2/3)x
Move the terms on the right to fit the slope-intercept form (y = mx + b):
y = (-2/3)x + 490
Answer:
2x + 3y = 1470
=> 3y = 1470 -2x
=> y = 1470/3 - 2/3x
=> y = -2/3x + 490
First, I made the 3y alone by subtracting 2x to both sides.
Next, I divided 3 from both sides to make y alone.
Lastly, I got the slope-intercept form.
Slope = the number with which "x" is multiplied.
So, In this equation slope = -2/3
Y-intercept can be found my making the x as 0
=> y = -2/3(0) + 490
=> y = 490
So, the y-intercept is (0,490)
X-Intercept can be found by making y as 0
=> 0 = -2/3x + 490
=> -490 = -2/3x
=> -490 * 3 = -2x
=> -1470 = -2x
=> -1470/2 = -x
=> -735 = -x
=> x = 735
So, x-intercept = (735,0)
It takes 3 cats 3 minutes to catch 3 mice. How many cats are needed to catch 99 mice in 99 minutes?
Greetings,
I hope you and your family are staying safe and healthy!
So basically, we have 3 cats catching 3 mice in 3 minutes. That means 1 cat is catching 1 mouse, but it takes it 3 mn.
Now if we have 99 mice and we need to catch them in 99 minutes, we will need 99 cats.
99 cats will catch 99 mice in 99 minutes...meaning each cats will take 1 minute to catch their mice.
----------------
If you find my answer helpful, please kindly give 5 stars and press the heart. Thanks!
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Answer:
see below the first three problems
Step-by-step explanation:
f(g(-2))
First, find g(-2) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(-2) = -2(-2) + 1
g(-2) = 5
f(x) = 5x
f(5) = 5(5)
f(5) = 25
f(g(-2)) = 25
g(h(3))
First, find h(3) using function h(x). Then use that value as input for function g(x).
h(x) = x^2 + 6x + 8
h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8
h(3) = 35
g(x) = -2x + 1
g(35) = -2(35) + 1 = -70 + 1
g(35) = -69
g(h(3)) = -69
f(g(3a))
First, find g(3a) using function g(x). Then use that value as input for function f(x).
g(x) = -2x + 1
g(3a) = -2(3a) + 1
g(3a) = -6a + 1
f(x) = 5x
f(-6a + 1) = 5(-6a + 1)
f(-6a + 1) = -30a + 5
f(g(3a)) = -30a + 5
can someone help me please ! i need to find the perimeter
Answer:
Step-by-step explanation:
Perimeter of the figure = 6x - 4 + 6x - 4 + 12x +3 + 14x+ 13 + 12x + 3
Add like terms
= 6x + 6x + 12x + 14x + 12x - 4 - 4 + 3 + 13 + 3
= 50x + 11
Which property is being used:
(4y + 1) * 0 = 0
A. Inverse Property
B. Identity Property
C. Property of zero
D. Commutative Property
Answer:
property of zero.
Step-by-step explanation:
It is given that, (4y + 1) × 0 = 0 . We need to tell out of four given options, which property is used in this case.
The property of zero states that if any number is multiplied by 0, then the answer is equal to 0.
Here, the number is (4y+1). It is multiplied by 0. It means that the result is 0.
Hence, it shows "property of zero".
i need help please!
Answer:
[tex]\Huge \boxed{y=3x+6}[/tex]
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
The slope can be found from two points.
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The two points from the graph are (1, 9) and (2, 12).
Plugging in the values and evaluating.
[tex]\displaystyle m=\frac{12-9}{2-1}[/tex]
[tex]\displaystyle m=\frac{3}{1}[/tex]
[tex]m=3[/tex]
The slope of the line is 3.
The y-intercept of the line is where the line cross the y-axis.
The line crosses the y-axis at (0, 6).
[tex]b=6[/tex]
The slope-intercept form of the line is:
[tex]y=3x+6[/tex]
What is the value of (-7+3i)+(2-6i)? A)-9+9i B)-5+9i C) -9-3i D) -5-3i
Answer:
D
Step-by-step explanation:
Add real numbers and add imaginary numbers
(-7 + 3i)+(2 - 6i) = -7 + 2 + 3i - 6i
= - 5 - 3i
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
•What is the value of (-7+3i)+(2-6i)?
[tex] (- 7 + 3i) + (2 - 6i) = ( - 7 + 2 + 3i - 6i) = - 5 - 3i [/tex]
(-7+3i)+(2-6i) = [tex]\boxed{\color{gold}{ -5-3i}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]
The original price of a sweatshirt is $45.00. If the sweatshirt is marked down 20% , what is the new price?
Answer: 36
Step-by-step explanation:
The 100% of the sweater is 45, we multiply 45 per 20 divided by 100, that will give you 9, you want to rest 45-20%
45-9=36
Answer: 36
Step-by-step explanation: The 100% of the sweater is 45, we multiply 45 per 20 divided by 100, that will give you 9, you want to rest 45-20%
45-9=36
PLEASE help me. I am stuck on this question for a long time. This is a graph problem
Answer:
plot 2
Step-by-step explanation:
put number in order from least to highest:
1 ,3,4,5,8,8,9,11,11,11,14,15,15,18,19,19,19,21,22,23,
from 1 to 5 4 terms
5 to 10 3 terms
from 10 to 15 4 terms (since you can put the 15 in either 10 to 15 or 15to 20)
from 15 to 20 6 terms
from 20 to 25 3
A woodworker made 60 decorative shelves to sell at a fair. 30% of the
shelves were made out of maple wood. How many maple shelves does he
have to sell?
18 shelves he needs to sell
What is the slope? Ahahaha
Answer:
m = 3/2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(50, 20)
(70, 50)
Step 2: Find slope m by plugging into formula
m = (50 - 20)/(70 - 50)
m = 30/20
m = 3/2
Answer:
3/2
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 50,20) and (90,80)
m = ( y2-y1)/(x2-x1)
= (80-20)/(90-50)
=60/40
= 3/2