Answer:
5.38%
966/52 = 0.05383022774
Step-by-step explanation:
5.38 can also be 5.4%
As proved.
We can write this as 52>52.2
To find 52>52.49 we only have to divide it by the larger number.
52.49/966 = 0.05433747412
or multiply to check.
966 x 0.054 = 52.164 sales tax = 5.4% paid
966 x 0.053835 = 52.00461 = 5.38 % paid
Both these amounts or in-between would be sales tax percentage
But exact would be 5.38%
Answer:
5.383%
Step-by-step explanation:
To find what percent a part is of a number, divide the part by the number and multiply by 100%.
part = 52
number = 966
percent = 52/966 * 100% = 5.383%
Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y
Answer:
see below
Step-by-step explanation:
5(x + y) + 6(x − y)
Distribute
5x+ 5y + 6x -6y
Combine like terms
11x -y
(5x − 3y) − x + 3x − 5y
Combine like terms
5x -x +3x -3y -5y
7x -8y
4(x + y) − 3(x + y)
Distribute
4x +4y -3x -3y
Combine like terms
x -y
x − 4x + 6y + (14x − 5y)
Combine like terms
x -4x +14x +6y -5y
11x +y
3x + 3y + 2(2x − y)
Distribute
3x+3y +4x -2y
Combine like terms
7x +y
Answer:
5(x + y) + 6(x − y) = 11x − y
(5x − 3y) − x + 3x − 5y = 7x − 8y
x − 4x + 6y + (14x − 5y) = 11x + y
3x + 3y + 2(2x − y) = 7x + y
and there is no match for 4(x + y) − 3(x + y)
Step-by-step explanation:
hope this helps :)
The enrollment at the 21st Century High School increased from 700
students to 1,200 students over a period of 5 years. What is the
percent increase in enrollment? Round off to the nearest percent.
Answer:
71% = P
Step-by-step explanation:
500/700 = P/100
500(100) =700p
50,000/700 = 700p/700
P=71%
The percent increase in enrollment is, 71.43%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.
Now,
Increased students = 1200 - 700
= 500
Hence, The increased percent is,
⇒ 500 / 700 × 100
⇒ 71.43%
Learn more about the percent visit:
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Geographers use negative numbers to represent points below sea level and positive numbers to represent points above sea level. For example, the lowest point in Minnesota is at − 17.3 meters, and the highest point is at 14.1, point, 1 meters. What does 0 meters represent?
Answer:
Step-by-step explanation:
Sea Level
What is the simplified form of the expression? 6/√5−√2
Answer:
The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]
with no square roots in the denominator
Step-by-step explanation:
We are considering the expression [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex] which I believe is what you wanted to type in your question.
The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).
We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:
[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]
where we find all square roots eliminated from the denominator
A rectangle has sides of length 7 in and 13 in. To the nearest degree, what angle does the diagonal make with the longer side?
Round your answer the nearest tenth.
A)57.4
B)28.3
C)61.7
D)32.5
PLEASE HELP ME OUT. THIS IS DUE TODAY.
Answer:
You probably should not.
Step-by-step explanation:
You will be in debt. You can if you are able to pay it off in the future but it's risky.
NEED ANSWER ASAP. WILL MARK THE BRAINLIEST!
Answer: C) 4955.30
Step-by-step explanation:
Where: A = P(1 + r/n)nt
A= 4000 (1+0.055/1)1*4
A= 4000 x (1.055)^4
A= 4955.30
WILL MARK BRAINLIEST! 20 PTS
Answer:
8: +4
9: *3 + 5
10: *(-9)+1
11: *(-8)
Answer:
8. Y=x+4, 11. y= X (x) -8
Step-by-step explanation:
Unsure about 9 and 10
Mariam is putting a shed in her garden and needs to build the
base
The shed has a rectangular base so the base will need to be a
rectangular prism.
The base will need to be 30cm deep, 1.9m long and 1.6m wide.
Calculate the volume of the foundations in m'
Concrete is a mix of different things. Aggregate, cement and wa
The ratio of these is 7:2:1
Calculate the volume of each element required
Answer:
The volume of the base is 91.2 m^2.
The volume for aggregate, cement, and wa(?) is 63.84 m^2, 18.24 m^2, and 9.12 m^2 respectively.
Step-by-step explanation:
Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?
Answer:
314 ft²
Step-by-step explanation:
3.14(10)²
(3.14)(100)
314
which is equal to 500?
The right answer is 10√5..
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
2nd one
Step-by-step explanation:
If you look at all the factors the highest pair with a square root is 5•100
The square root of 100 is 10
And then the square root of 5 is left
1. How many solutions does the following equation have?
2x2 – 3x + 5 = 2x2.*- 3x + 5
no solution
- 2x -2% -2X
O
o -5% +5=0
2. Use the quadratic formula to solve the equation. If necessary, round to the nearest
hundredth.
x2 + 3 = -4x+3=- 4x
3- 4x
3. Solve the equation using the Zero-Product Property,
4p(5p+ 10) = 0
20p²+40p=0
-20p^2-20p^2
I just want to know if I got it right?
Answer:
1. The equation has no real solutions
2. [tex]x_1 = -1 [/tex] and [tex]x_2 = -3 [/tex]
3. p = 0 and p = -2
Step-by-step explanation:
1. Eq: x² - 3x + 5
discriminant: b² - 4(a)(c) = (-3)² - 4(1)(5) = 9 - 20 = -19 < 0
Therefore, the equation has no real solutions
2. Eq: x² + 3 = -4x
0 = x² + 4x + 3
[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(1)(3)}}{2(1)} [/tex]
[tex]x = \frac{-4 \pm 2}{2} [/tex]
[tex]x_1 = \frac{-4 + 2}{2} [/tex]
[tex]x_1 = -1 [/tex]
[tex]x_2 = \frac{-4 - 2}{2} [/tex]
[tex]x_2 = -3 [/tex]
3. Eq: 4p(5p+ 10) = 0
Zero-Product Property states that:
4p = 0 or 5p + 10 = 0
The first solution is p = 0. The second is:
5p + 10 = 0
5p = -10
p= -10/5 = -2
which expression has a value of 7/12
A. 6/8+1/4
B. 1/3+1/4
C. 7/8+4
D. 2 1/12+5 1/12
Answer:
C
Step-by-step explanation:
cuz
A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu
Answer:
Step-by-step explanation:
9.72*400
= 3888 miles
Inform me if I am right
Bill receives a monthly stipend of $800. He also works at a bookstore making $8 an hour. He wants a monthly income of $1,200. How many hours does he need to work each month?
Answer:
150 hours
Step-by-step explanation:
Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.
If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150
But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.
Then, we would have to calculate the difference.
$1200 - $800 = $420
Time = $420/8 = 50 hours.
Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first months of tracking is listed below. ~ During the first month, the company received 4,264 phone calls. ~ During the second month, the company received 25% more phone calls than in the first month. ~ During the third month, the company received 6,396 phone calls. What was the percent increase in the number of phone calls from the second month to the third month? Show your work.
Answer:
Percent increase : 20%
Step-by-step explanation: First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
4,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
x ᵐ / y ᵐ = (y/x) -ᵐ True] False
Answer:
it is true because when we open the brackets due to negative sign x shiht upwards and y shift downwards with power m
For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .
A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19
Answer:
the answer is B.
4x^3+x^2-5x-5
Step-by-step explanation:
Which number produces a rational number when multiplied by 1/5 ?
Answer:
D. -2/3
Step-by-step explanation:
A rational number can be shown with a fraction and that's the only fraction in the answer choices
Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.
Answer:
pillow cost 3, quilt costs 5
Step-by-step explanation:
let p represent pillow and q represent quilt
rest is in pic attached
What is the slope of the line represented by the equation Y= 4/5x-3
Answer:
4/5
Step-by-step explanation:
y=mx+b where m is slope
Answer: 4/5
Step-by-step explanation:
Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope
WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4?
Answer:
-1/5x -4/5 = y
Step-by-step explanation:
f(x) = -5x -4
y = -5x-4
Switch x and y
x = -5y -4
Solve for y
Add 4
x+4 = -5y
Divide by -5
-1/5x - 4/5 = -5y/-5
-1/5x -4/5 = y
Answer:
f(x) = -5x - 4
let f(x)= y
y = -5x -4
x = -5y - 4
-5y = x+4
y = - (x +4)/5
The inverse of f(x) is -(x +4)/5
Hope this helps.
What is the value of x?
Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer:
x=30
Step-by-step explanation:
The figure shows a carpeted room. How many square feet of the room is carpeted?
Answer:
40
Step-by-step explanation:
So split it into two shapes. Two rectangles.
Rectangle 1 = 4 * 5 = 20
Rectangle 2 = 2 * 10 = 20
20 + 20 = 40
Answer:
40 square feet
Step-by-step explanation:
we can cut the carpeted space into 2 parts for easier calculation.
we can do 4 x 5 to find the first part, which equals to 20 square feet.
then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.
Just add up both of the calculations(20 +20) then you'll get your answer!
the answer is 40 square feet.
Hope this helps and you understand now!
Find the area of parallelogram BDKJ.
Answer:
6 x 4 = 24
Step-by-step explanation:
JC = 4
BD = 6
which graph represents the function? NEED ANSWER ASAP 20 POINTS!!
Answer:
oof i have no clue
Step-by-step explanation:
sorry never learned this type of graphs good luck tho
what is the value of x if abc is equilateral
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any pair of sides and solve for x
AC = BC , that is
10x - 5 = 6x + 3 ( subtract 6x from both sides )
4x - 5 = 3 ( add 5 to both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → d
A correct option is an option (d).
The given sides are,
AB=7.5x
AC=10x-5
BC=6x+3
As we know in an equilateral triangle all sides are equal then,
AB=AC=BC
[tex]AB=AC\\7.5x=10x-5\\-10x+7.5x=-5\\-2.5x=-5\\x=\frac{5}{2.5} \\x=2[/tex]
So, the correct option is an option (d).
Learn More:https://brainly.com/question/24585915
Suppose a rock in free fall is dropped off a cliff. After falling 5 seconds, its
speed will be 100 m/s.
A. True
B. False
Answer:
B
Step-by-step explanation:
You can use an equation from physics to help with this.
[tex]v_f=v_o+at[/tex]
Since the initial velocity is 0, you can set up the following equation:
[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]
Hope this helps!
What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?
I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answer:
−2 − x
Step-by-step explanation:
Answer:
-2-x
Step-by-step explanation:
distribute the the like terms and separate the problem then solve it.
