Answers
Step-by-step explanation:
anything whole or complete is designated as 100%.
what is x% of that whole ?
well, we need to multiply the whole with the same factor we need to multiply 100 with to get x.
100×f = x
f = x/100
whole × f = x% of the whole
so, when we are looking for 5%, what did that mean ?
it means that x = 5, and f = 5/100.
therefore, 5% of $13 is
13 × 5/100 = 65/100 = 0.65
so,
basic cost = $13
tax rate = 5%
tax amount = $0.65
and
basic cost = $13
tax amount = $0.65
total cost = 13 + 0.65 = $13.65
as 5/100 = 0.05
we have seen that the tax amount is simply $13×0.05
and when we add the tax amount to the basic cost, we need to add $13×1 (basic cost) to the $13×0.05 (tax amount), and we get as total
total cost = $13×(1+0.05) = $13×1.05 = $13.65
so, the decimal factor we can use directly without going through all the detail above is : 1.05
Related Questions
Ann makes $132 for 11 hours. At the same rate, how much would she make fo 8 hours of work
Answers
Answer: She would make $96.00
Find the sum:
One-sixth + StartRoot 6 EndRoot =
2.0824829…
2.6161564…
6.16
36.16
Answers
Answer:
Your answer is 2.6161564
Step-by-step explanation:
1. To write √ 6 as a fraction with a common denominator, multiply by
6 /6
2. 1/ 6 + √ 6 ⋅ 6 divided by 6
3. Move 6 to the left of square root of 6
1 + 6 √ 6 divided by 6
Exact form =
1 +6 √ 6 divided by 6
Decimal Form:
2.6161564
Answer:
2.6161564…
Step-by-step explanation:
A number x is no less than -42
Answers
Step-by-step explanation:
It mean more than -42 or equal to -42
please give me a brainliest answer
The inequality that represents the statement "A number x is no less than -42" is x ≥ -42.
The inequality that represents the statement "A number x is no less than -42" can be expressed as:
x ≥ -42
In this inequality, the symbol "≥" stands for "greater than or equal to." It indicates that "x" can take any value that is equal to -42 or any value greater than -42. If "x" equals -42, the condition is satisfied, and if "x" is greater than -42, the condition is also satisfied.
For instance, if "x" is -40, the inequality holds true, as -40 is greater than -42. Similarly, if "x" is 0 or any positive number, the inequality remains true, as all these values are greater than -42.
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Jill sold 4 times as many pails as Jack last month. If together they sold 250 pails last month, how many pails did each person sell last month.
Answers
5x =250
X=(250/5)
X=50
The fifth term of a non liner sequence is 324.The term to term rule is multiply 3
Work out the second term of the sequence
Answers
Answer:
324 642
Step-by-step explanation:
What is the tangent ratio of angle y?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Using Trigonometry :
[tex] \tan(y) = \dfrac{20}{21} [/tex][tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}[/tex]
[tex]\\ \rm\Rrightarrow tany=\dfrac{20}{21}[/tex]
Please help with question 6
Answers
Answer:
Step-by-step explanation:
You have a bunch of numbers that are likely confusing you.
When the bags are full, they weigh 3/4 of a pound.
If they are half full, then they weigh 3/4 * 1/2 = 3/8 of a pound.
Since there are three of them, then the total weight is 3(3/8) = 9/8 = 1 1/8
A line passes through the points (-2,-4) and (3, 5). Which equation best represents a line
parallel to this line?
A) y = -5/9x+ 4
B) y = 9/5x + 4
C) y = 1x + 4
D) y = -4/3x + 4
Answers
m=(y2-y1)/(x2-x1)
m=(5-(-4))/(3-(-2))
m=9/5
so the answer is B since the gradient also 9/5
The equation best represents a line parallel to the given line is y = 9/5x - 2/15.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient, and y = c is the value where the line cuts the y-axis.
This number c is called the intercept on the y-axis.
Now it is given that the line passes through (-2,-4) and (3,5).
So here,
x1 = -2;
y1 = -4;
x2 = 3;
y2 = 5
Hence slope of the line is given as,
m1 = (y2 - y1)/(x2 - x1)
⇒ m1 = {5-(-4)}/{3-(-2)}
⇒ m1 = (5+4)/(3+2)
⇒ m1 = 9/5
Since both the lines are parallel, hence
m1 = m2 = 9/5
Therefore equation of line parallel to the given line will be,
(y - y1) = m2( x - x1)
⇒ {y-(-4)} = 9/5{x - (-2)}
⇒ y + 4 = 9/5(x +2)
⇒ y + 4 = 9/5x + 18/5
⇒ y = 9/5x + 18/5 - 4
⇒ y = 9/5x - 2/15
Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.
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) Which of the following expressions has a coefficient of 6 and a constant of 9?
6x + 9
9-6
9 +6
6 + 9.2
Answers
#18 You withdraw $35.59
from your bank account.
Your balance is now -$20.45.
Write and solve an equation
to find out how much was
originally in your bank
account.
Answers
Answer:
$15.14
Step-by-step explanation:
-20.45+35.59 or 35.59-20.45
15.14
help please, only look at the graphic
Answers
All I know is that it is acute and less than 51 degrees
Answer:
AOB is 39 degrees.
Step-by-step explanation:
Given that ∠DOE is 51 degrees we know that ∠AOE is 180 degrees as it is a straight line.
∠BOD is a right angle given the ∟symbol so therefore ∠BOD is equal to 90 degrees.
m∠DOE + m∠BOD = 141 degrees (because 51 + 90)
Therefore m∠AOB = 39 because 180 - 141 = 39
Straight angles are equal to 180! Hope this helped
Consider the number 14. Which statement(s) are correct.
a
To multiply by 103, add 2 zeroes to the end of the number.
b
To multiply by 106, add 6 zeroes to the end of the number.
c
To multiply by 108, add 9 zeroes to the end of the number.
d
To multiply by 1011, add 11 zeroes to the end of the number.
Answers
Answer:
c
Step-by-step explanation:
ok
simplify the following ??? reply me all off you
Answers
Answer:
29/8
You had to multiply and solve making lowest common multiple
Answer:
115/24
Step-by-step explanation:
first convert the mixed numbers to a whole fraction
then find the least common denominator which is 24
so 31 - 23 + 7 = 115/24
HELP WILL MARK BRAINLIEST
Simplify the expression
Answers
Step-by-step explanation:
xy + 2x
the step by step solution is on the picture above, if this helped, please mark as brainliest
can some one pls help me fill is the square pls help
Answers
Answer:
52, 21, 94
Step-by-step explanation:
y=3(14)+10
73=3x+10
63/3=21
y=3(28)+10
=94
How do you do this? Am I corrdct
Answers
Answer:
1/20 is the correct answer
Step-by-step explanation:
65/100 diet
30/100 caffeine
Of the 65/100, 22 are caffeine free but that is unnecessary info for the question. The 22 caffeine free would fall under the 65/100 anyways.
So 65 + 30 = 95
100-95 = 5
5/100 simplified is 1/20
Yes, you are correct . Since we know 65 sodas are diet and 30 are caffeine-free.
65 + 30 = 95
What plus 95 equals 100?
95 + x = 100
Or 100 - 95 = 5
= 5/100
When 5/100 is simplified, it equals 1/20.
Solve and explain: (7^-2)^3
Answers
First, do -2 x 3
and that will equal -6,
so your answer will be 7^-6
if you also want to solve 7^-6
it will be.... (Look at the photo)
__________
[tex] \: [/tex]
[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]
[tex] = {7}^{ - 2 \times 3} [/tex]
[tex] = {7}^{ - 6} [/tex]
[tex] = \frac{1}{ {7}^{6} } [/tex]
[tex] = \bold{\frac{1}{117.649}} [/tex]
Information: The length of a rectangle is three times the width. A new rectangle is created by decreasing the length of the original rectangle by 9 feet and increasing its width by 4 feet. The area of the new rectangle is the same as the area of the original rectangle. What is the perimeter of the new rectangle?
Help,please:(
Answers
Answer:
Hold on, our servers are swamped. Wait for your answer to fully load.
Step-by-step explanation:
Hold on, our servers are swamped. Wait for your answer to fully load.
Help pls. Please anwser correctly
Answers
Answer [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?
Answers
Answer:
The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Step-by-step explanation:
Given number = 4851
It can be written as
4851 = 3×1617
4851 = 3×3×539
4851 = 3×3×7×77
4851 = 3×3×7×7×11
4851 = (3×3)×(7×7)×11
It is clear that We should divide the given number by 11 then we get a perfect square number.
4851/11 = 441
441 = 21×21
=> 441 = 21²
=> √441 = √(21²)
=> √441 = 21
Answer:-The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Used Method :-→ Prime Factorization Method
Answer:
11 is the least number and the when you take the square root of the number you get 21
Step-by-step explanation:
The easiest way to solve this problem is guess and check.
First of all, a perfect square NEEDS to be a WHOLE number
Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.
This means you cannot divide by 2, 4,8...etc
We just have to guess and check odd numbers starting at 3.
4581/ 3 = 1527 sqrt(1527) = 39.07684737 decimal so not this one
4581/ 5 = 916.2 decimal so not this one
4581/ 7 = 654.4285714 decimal so not this one
4581/ 9 = 509 sqrt(509) = 22.56102835 decimal so not this one
4581/ 11 = 441 sqrt(441) = 21
This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.
Solve[tex]\frac{2}{3}[/tex](6x+30)=5(x+4)-2x
A: 6
B: O
C: All real numbers
D: No solution
Answers
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x[/tex]
Distribute 2/3 and 5 into the parentheses:
[tex]4x+20=5x+20-2x[/tex]
Combine like terms:
[tex]4x-5x+2x=20-20\\-x=0\\x=0[/tex]
I hope this helps!
Write an equation to represent eachrelationship. SOLVE THE EQUATION 6 less than three times a number equals eighteen.
Answers
Answer:
Equation = 3x - 6 = 18
Solving of equation =
x = 8
Step-by-step explanation:
let the number be x
Now let us first set an equation
less than means - subtraction
3x - 6 = 18
Now let us solve the equation and find the value of x
3x - 6 = 18
Transpose
3x = 18 +6
3x = 24
x = 24 ÷ 3
x = 8
Equation = 3x - 6 = 18
Solving of equation =
x = 8
3. A BMW convertible travels at a speed of 50 miles per hour (mph) for 2.5 hours. What
distance does the convertible travel in miles?||
Answers
Answer:
The car will travel 125 miles
Step-by-step explanation:
The car will go 50 mi in 1 hour. If it travels for 2.5 hours, we can multiply 50 by 2.5.
50*2.5=125
Please give me brainliest.
WILL MARK FIRST CORRECT ANSWER BRAINLIEST PLEASE HELP ASAP
Answers
Answer:
B.
Step-by-step explanation:
the slop of line l is 6
half of that is 3
knowing that, the answer should be b
have a wonderful day <3
find all of the zeros of
If f(x) = x3 + 13x2 + 32x + 20 and f(-10)=0
pls help with this problem !
Answers
Answer:
Step-by-step explanation:
Well you have one of the roots -- -10. Just by looking at it, -1 would seem to be another x intercept.
f(x) = (-1)^3 + 13(-1)^2 + 32(-1) + 20
f(x) = -1 + 13 - 32 + 20
f(x) = 0
So - 1 is also a root.
You should try -2
-2 * -10 - 1 = - 20
f(-2) = (-2)^3 + 13(-2)^2 + 32(-2) + 20
f(-2) = -8 + 13 * 4 - 32(2) + 20
f(-2) = - 8 + 52 - 64 + 20
f(-2) = -72 + 72
f(-2) = 0
The zeros are
x = -10
x = -1
x = -2
Trinity has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces. What is the length of each piece of ribbon?
Answers
The length of each piece be 3.25 inches.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.
Assume that the length of each piece be [x]. Then, we can write -
15x = 48.75
x = 48.75/15
x = 3.25 inches
Therefore, the length of each piece be 3.25 inches.
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find the solution or root of the quadratic equation 4 x²-12=0
Answers
Step-by-step explanation:
Group into like termsadd 0 and 12divide both sides by the coefficient of x2.Find the square root of your answer .The cinema charges x dollars for an afternoon show and an additional $3.00 to
see the 3D version. Write an expression to show the cost of five regular tickets
and three 3D tickets. Simplify the expression.
Answers
Answer:
5x+3(x+3) = 5x+3x+9 = 8x+9
Find the missing angle measures.
Y = 63
Z = ?
X = ?
Answers
Answer:
Step-by-step explanation:
y = 63 {Vertical angles are congruent}
y + z + 85 = 180 {Angle sum property of triangle}
36 + z + 85 = 180
z + 121 = 180
z = 180 - 121
z = 59
63 + x = 130 {External angle property of triangle}
x = 130 - 63
x = 67
what does x equal in the equation
-4(x-1) + 6x = 2(17-x)
Answers
Step-by-step explanation:
since -4(x-1) + 6x = 2(17-x) [expand the bracket]
⇒ -4x +4 + 6x = 34 - 2x [group like terms across the equal sign]
⇒ -4x + 2x + 6x = 34 - 4 [simplify like terms]
⇒ 4x = 30 [divide both sides by 4]
⇒ x = ³⁰/₄ [simplify RHS to lowest possible fraction]
⇒ x = ¹⁵/₂Check:
-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))
19 = 19 ✅