Answer:
5n
Step-by-step explanation:
The result of n x 5 is equal to 5 times the value of n.
The equation 'n x 5' represents the product of a number n and 5. The result can be positive or negative based on the value and sign of n. Also, parenthesis placement in expressions greatly affects the outcome due to the order of operations.
Understanding the Multiplication of Numbers and Order of Operations
The equation n x 5 indicates that a number n is being multiplied by 5. The results of this product will depend on the value of n and whether n is positive, negative, or zero. For example, if n is positive, like 2, then the product is also positive: 2 x 5 = 10. If n is negative, like -3, the result is negative: (-3) x 5 = -15. It's important to remember that when two positive numbers multiply, the answer has a positive sign, and when two negative numbers multiply, the result is also positive. However, if the two numbers have opposite signs, the answer will have a negative sign.
Furthermore, the placement of parentheses can affect the result of mathematical expressions. For instance, 2 + (3 x 5) is not the same as (2 + 3) x 5 due to the order of operations. In the first expression, multiplication is performed first, resulting in 17, whereas the second expression results in 25.
Understanding the rules of multiplication, including the signs of the numbers involved and the order of operations, is essential for solving equations and expressions correctly.
The length of the hypotenuse of a right triangle is 15 in. and one leg has length of 6 in. Find the length of the other leg.
Answer:
C. square root 189 in.
Step-by-step explanation:
A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a uniform border. What is the width of the border?
Answer: The width of the border is 4 inches
Step-by-step explanation: The paper frame has its dimensions given as 20 inch by 24 inch. That means the area of the paper frame would be;
Area = L x W
Area = 20 x 24
Area = 480 square inches.
However, the photo itself covers an area of 320 square inches of this total surface area. If the photo has a uniform border, that means the photo and the paper frame are best described as congruent parallelograms (similar rectangles).
The ratio of the area of both paper frame and photo is given as;
Ratio = 480 : 320
Ratio = 3 : 2
When the length of the photo frame is given as 24, the length of the photo would be
3/2 = 24/L
L = (2 x 24)/3
L = 48/3
L = 16
Having calculated one side of the photo as 16 inches and the area has been given as 320 square inches, the other side of the photo is now derived as;
Area = L x W
320 = 16 x W
320/16 = W
20 = W
The dimensions of the paper frame is given as 24 inches and 20 inches, while those of the photo is given as 20 inches by 16 inches. The difference in both dimensions is 4 inches on either side (24 - 20 = 4, and 20 - 16 = 4)
Therefore the width of the border is 4 inches
The width of a human hair is about 0.002 inches, which can be written as
2 x 10" inches. What is n?
Answer:
-3
Step-by-step explanation:
[tex]2*10^{-3}[/tex], n= -3.
What is fraction?A fraction is a number which represents the part of a whole or collection of objects. It is in the from of a/b where a represents the numerator part and the b represents the denominator parts.
The width of a human hair is about 0.002 inches,
It can be written in fraction form as,
[tex]\frac{2}{1000}[/tex]⇒ [tex]\frac{2}{10^{3} }[/tex]
By writing [tex]10^{3}[/tex] in reciprocal from we get,
[tex]2*10^{-3}[/tex], then n= -3.
Hence, [tex]2*10^{-3}[/tex], n= -3.
Learn more about fractions here:
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What is the value of a?
Answer:
a = 2
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Sum the exterior angles and equate to 360, that is
66a + 56a + 31a + 27a = 360, that is
180a = 360 ( divide both sides by 180 )
a = 2
factor this expression
r^2-2t-24
Step-by-step explanation:
First we will multiply 24 by 1 = 24 we have to find the factors of 24 that may add or subtract = 2
So
r2 - 6t + 4t - 24
r2 - 6t + 4 ( t - 6)
So the factors are ( r2 - 6t + 4) and (t - 6)
2A - 5B + 4X = C - 8X
Answer:
(5B+C-2A)/8 = x
Step-by-step explanation:
2A - 5B + 4X = C - 8X
subtract 4x from both sides
2A - 5B + 4X-4x = C - 8X-4x
2A - 5B = C - 12X
subtract C from both sides
2A - 5B -C = C-C - 8X
2A - 5B -C = - 8X
divide both sides by -8
(2A - 5B -C)/-8 = - 8X/-8
(-2A+5B+C)/8 = x
(5B+C-2A)/8 = x
What is the value of log8 512
Answer:3
Step-by-step explanation:
Logarithm base 8 of 512 is 3.
Answer:3
Step-by-step explanation:
What is 3=7(4 - 2u)-6u
Answer:
u = 5/4
Step-by-step explanation:
to evaluate for the value of u we would simply open the bracket and then evaluate for the value of u by collecting the like terms together.
solution
3=7(4 - 2u)-6u
3 = 28- 14u - 6u
collect the like terms
3 + 14u + 6u = 28
20u = 28 - 3
20u = 25
divide both sides by the coefficient of u which is 20
20u/20 = 25/20
u = 5/4
Answer:
[tex]u = 5/4[/tex]
Step-by-step explanation:
Step 1: Distribute on the right side
[tex]3 = 7(4 - 2u) - 6u[/tex]
[tex]3 = (7 * 4) + (7 * -2u) - 6u[/tex]
[tex]3 = 28 - 14u - 6u[/tex]
Step 2: Combine like terms
[tex]3 = 28 + (-14u - 6u)[/tex]
[tex]3 = 28 + -20u[/tex]
Step 3: Subtract 28 from both sides
[tex]3 - 28 = 28 - 20u - 28[/tex]
[tex]-25 = -20u[/tex]
Step 4: Divide both sides by -20
[tex]-25 / -20 = -20u / -20[/tex]
[tex]5/4 = u[/tex]
Answer: [tex]u = 5/4[/tex]
Rewrite 10^32 x 10^6 using a single exponent
10^38
Step-by-step explanation:
Given that,
10^32 x 10^6
Here the base is same (10) and the powers are 32 and 6.
These 2 bases are in multiplication form so the powers can be added up.
10^32 x 10^6 = 10^(32+6)
= 10^38
Can anyone pls help me in this pls I will mark u as brainliest
Answer:
Step-by-step explanation:
the Pythagorean theorem can be used to find the distance between any two points on the COORDINATE PLANEany point where two sides of a polygon meet is called VERTEXThe ABSOLUTE VALUE of any number is written as |a|the distance around a figure is its PERIMETERAn ISSOSCELES TRIANGLE has at least two sides that are same lengthan EQUILATERA TRIANGLE has three sides that are the same lengtha SCALENE TRIANGLE has its three sides all different in lengthList the possible rational zeros.
m(x) = - 4x + 11x² +6x+14
How do I solve this
[tex]m(x)=-4x+11x^2+6x+14\\m(x)=11x^2+2x+14[/tex]
Equating the equation to 0 and solving it
[tex]11x^2+2x+14=0\\D=2^2-4*11*14=-612<0[/tex]
This equation has no solution, so we can't find rational zeros
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P.S. Hello from Russia
what is the length of bc in the triangle below
Answer:
This is how i solve it:
Pythagorean theorem:
a squared + b squared = c squared
12 squared + 16 squared = c squared
144 + 256 = 400
square root of 400 is 20
final answer: 20
PLEASE HELP!! DUE TODAY! I GIVE BRAINLIEST
Answer:
.54
Step-by-step explanation:
The probability of a non-glove item is: (# of non-glove items)/(total # of items)
There are 27 non-glove items and 23 gloves. That makes the probability of choosing a non-glove item:
27/(23+27)=
27/50 =
.54
Evaluate 9 ÷ 3[(20 − 7) − 22].
0.18
0.34
27
51
ok i do not know how to do this please help asap ;-;
Answer:
Look and see >:/
Step-by-step explanation:
1) 13, 34 Rate of change: 3
2) 15, 1 Rate of change: -2
3) 17, 32 Rate of change: 0.75
4) 9, -1 Rate of change: -0.4
Volume of a rectangular prism is 275 cubic Inches. The base is a square with the
side length of 5 inches. Find the height of this prism. Write the formula, and solve
as an equation. V=s?h
Answer:
11 in
Step-by-step explanation:
Starting with the base, we know the side length is 5 inches. So with that in mind, we can do 5 x 5 to get the area of the base, 25. We also know the volume of the whole rectangular prism is 275, so we can do 275 ÷ 25. The quotient of that is 11.
We can check our answer by doing 11 x 25. This gives us 275, proving that it is correct.
Hope this helped! :)
There are 14 books on a shelf. 6 of these books are new.
(a) What is the ratio of used books to all books?
(b) What is the ratio of new books to used books?
?
a) 8:14
b) 6:8
yeah its telling me I'm short of words
8(3x+1) please give me your Brainly answer
Answer:
its 3
Step-by-step explanation:
Simplifying
8 = 3x + -1
Reorder the terms:
8 = -1 + 3x
Solving
8 = -1 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
8 + -3x = -1 + 3x + -3x
Combine like terms: 3x + -3x = 0
8 + -3x = -1 + 0
8 + -3x = -1
Add '-8' to each side of the equation.
8 + -8 + -3x = -1 + -8
Combine like terms: 8 + -8 = 0
0 + -3x = -1 + -8
-3x = -1 + -8
Combine like terms: -1 + -8 = -9
-3x = -9
Divide each side by '-3'.
x = 3
Simplifying
x = 3 this took forever to type hope it helped
x2 - 14x + 40
O A.
(x + 3)(x + 5)
OB. (x - 10)(x-4)
O C. (x-8)(x - 5)
O D. (x+ 10)(x+4)
Answer:
B
Step-by-step explanation:
(x-4) x (x-10)
Answer:
B
Step-by-step explanation:
Given
x² - 14x + 40
Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 14)
The factors are - 10 and - 4, since
- 10 × - 4 = + 40 and - 10 - 4 = - 14, thus
x² - 14x + 40 = (x - 10)(x - 4) → B
How many solutions does this equation have?
4x − 10
2
= 2x − 5
A) no solution
B) exactly one solution
C) exactly two solutions
D) infinitely many solutions
Answer:
The correct answer is infinitely many
Step-by-step explanation:
4x-10/2=2x-5
after that you will multiply the 2 times 2x and 2 times -5
so now it becomes
4x-10=4x-10 that's why it's infinitely many
Answer:
D) infinitely many solutions
Step-by-step explanation:
The equation yields a statement that is always true, −10 = −10.[
So, the equation has infinitely many solutions.
4x − 10 2 = 2x − 5 4x − 10 = 4x − 10 −10 = −10
At this rate, how many miles will a ferry boat travel in 30 minutes
Miles=
Answer:
12 miles
Step-by-step explanation:
Which expression represents the total surface area, in square centimeters, of the square pyramid?
(8.2) (8.2) + 4 (one-half (8.2) (10.3))
(8.2) (8.2) + 4 (one-half (8.2) (11.1))
(8.2) (10.3) + 2 (one-half (10.3) (10.3)) + 2 (one-half (8.2) (10.3))
(8.2) (10.3) + 2 (one-half (10.3) (11.1)) + 2 (one-half (8.2) (11.1))
Answer:
(8.2) (8.2) + 4 (one-half (8.2) (11.1))
Step-by-step explanation:
Formula for calculating the surface area of a square based pyramid is expressed as:
Surface area = A + 1/2ps
A is the base area
P is the perimeter of base
S is the slant side.
Since the base of the pyramid is a square, then
Base Area A = L²
A = 8.2²
A = 67.24cm²
Perimeter of square = 4L = 4(8.2)
= 32.8cm
Slant Height = 11.1cm
On substituting the gotten value:
Surface area = 8.2(8.2) + 1/2 [4(8.2 (11.1)]
Based on the solution above, the expression below is correct.
S =(8.2) (8.2) + 4 (one-half (8.2) (11.1))
Roy took out a 30-year loan for $155,000 at an APR of 5.5%, compounded
monthly. Approximately what would be the total cost of his loan if he paid it
off 4 years early?
O
A. $37,842.06
O
B. $312,423.90
O
C. $316,825.20
O
D. $274,581.84
Answer:
$312,423.90
Step-by-step explanation:
Answer:
312,423.90
Step-by-step explanation:
Correct is b
Solve for r 12-1/5r=2r+1
Answer:
5r
Step-by-step explanation:
12−
1
5r
=
60r−1
5r
To solve the equation 12 - 1/5r = 2r + 1 for r, isolate the variable r on one side of the equation. The equation simplifies to 5 = 1, which is not possible. Therefore, there is no solution for r in this equation.
Explanation:To solve for r in the equation 12 - 1/5r = 2r + 1, we will isolate the variable r on one side of the equation.
Step 1: Combine like terms by adding 1/5r to both sides of the equation:
12 - 1/5r + 1/5r = 2r + 1 + 1/5r
12 = 2r + 1 + 1/5r
Step 2: Combine like terms by subtracting 1 from both sides of the equation:
12 - 1 = 2r + 1 - 1 + 1/5r
11 = 2r + 1/5r
Step 3: Combine like terms by finding a common denominator for the terms involving r:
11 = (10r + r)/5r
Step 4: Simplify the equation:
11 = (11r)/5r
Step 5: Multiply both sides of the equation by 5r to eliminate the denominator:
11 * 5r = 11r
55r = 11r
Step 6: Divide both sides of the equation by 11 to solve for r:
55r/11 = 11r/11
5r = r
Step 7: Divide both sides of the equation by r:
5r/r = r/r
5 = 1
No solution exists for this equation.
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IM giving 15 points please help!
a 42 meter lighthouse is observed by a ships officer at a 65 degree anlge to a path of the ship. At the next sighting, the lighthouse is observed at a 42 degree angle. To the nearest meter what is the distance between the 2 sightings?
Answer:
the hhh
Step-by-step explanation:
If the ratio of red socks to blue socks is 1:6, how many red socks would I have if I had 24 blue socks?
Answer:4
Step-by-step explanation:
1:6
Divide 6 by 24
you will get 4
Times your answer by 1 and then u will get your final answer
5c + cd, c = 1.5 d = 15
Answer:5(1.5) + 1.5(15)
=7.5 +22.5
=30
Answer:
5(1/5)+ 1/5(15) = 1 + 3 =4
Chaz's new game room is shaped like a cube. It measures 15 feet across. If he wants to paint only the walls of the room, what is the surface area of the region he will paint?
The surface area of the region he will paint is 900 sq.ft.
Step-by-step explanation:
Cubical room measures - 15 ft
Chaz want to paint only the walls of room
Surface of painting region means Lateral surface area (excluding top and bottom)
Lateral surface area of cube = [tex]4a^2[/tex]
⇒ 4 * 15 *15
⇒ 900 sq.ft
The surface area of the region he will paint is 900 sq.ft.
sergio runs 6 miles in three days. At this rate, how many miles will he run in 20 dayshelp
Answer:
40 miles
Step-by-step explanation:
We have to find how many miles he runs per day. So if we divide 3 days by 3 to get 1 day, that means he would run 2 miles per day. So if we are trying to figure out how many miles he runs in 20 days, we do 20*2 which equals 40. Hope this helps.
(please mark me brianliest)
Answer:
40 miles
Step-by-step explanation:
He runs 2 miles per day
6 miles over 3 days is 2 miles per day
6 divided by 3 is 2
Which expression is equivalent to 5 divided by 2
A. 5•1\2
B. 2/5
C. 10
D. 2•1/5
Answer:
a
Step-by-step explanation:
Answer:
= 5 × 1/2
Step-by-step explanation:
Five divided by 2
= 5 ÷ 2
= 5/2
Which is same as
= 5 × 1/2
I hope this was helpful, please rate as brainliest