Answer:
22%
Step-by-step explanation:
1000-780=220
220/1000=0.22, or 22%
The diagram shows a sector of a circle radius 10 cm, 135°. Find the perimeter of the sector
Answer:
22.4 cm
Step-by-step explanation:
Given
r = 10 cm
θ = 135°
Perimeter of sector is:
P = 2r + 2πr(θ/360)
P = 2*10 + 2(3.14)(135/360) = 22.4 cm (rounded)
If the graph of the equation y = mx + b is a line passing through the points (6, 13) and (10, 31), what is the value of m? Express your answer as a common fraction.
Answer:
[tex]\frac{9}{2}[/tex]
Step-by-step explanation:
The variable 'm' represents the slope in 'y=mx+b'. We need to find the slope of the two points.
Slope is rise over run. We are given the points of (6, 13) and (10, 31).
[tex]m=\frac{rise}{run}=\frac{31-13}{10-6} =\frac{18}{4} =\huge\boxed{\frac{9}{2}}[/tex]
The slope, or 'm' should be [tex]\frac{9}{2}[/tex].
The graph shows the speed of Sam's car over time.
Which best describes what is happening in section C?
Speed of Car
His car is stopped.
His car is speeding up.
His car is slowing down.
His car is traveling at a constant speed.
Answer:
Its C
Step-by-step explanation:
The statement which best describes what is happening in section C is His car is slowing down.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
The graph is attached below.
There are 4 sections on the graph.
In the section A, the car is speeding up since the speed is increasing as the time increases.
In the section B, the speed is constant as the time increases. This means his car is traveling at a constant speed.
In the section C, speed is decreasing with time. So the car is slowing down.
In the section D again the car travels at a constant speed.
Hence in section C, car is slowing down.
Learn more about Speed here :
https://brainly.com/question/30462853
#SPJ7
Why is 2i * -2i equal to 4, and not -4i?
Answer:
see below
Step-by-step explanation:
2i * -2i = -4 i^2
We know that i^2 = -1
= -4 * -1
= 4
It is not equal to -4i because we need to multiply i*i which is i^2 not i
Answer:
The answer is 4 (working below), It is not [tex]-4i[/tex] because [tex]i \times i = i^2[/tex].
Step-by-step explanation:
[tex]2i \times -2i[/tex]
Multiply.
[tex]2 \times i \times -2 \times i[/tex]
[tex]-4i^2[/tex]
Apply : [tex]i^2 = -1[/tex]
[tex]-4(-1)[/tex]
[tex]=4[/tex]
7. A clerk at a bookstore is restocking a shelf of best-selling novels. He has five copies each of three different novels.
a) How many different ways can he arrange the books on the shelf?
b) How many different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together?
Answer:
He can sort the books by alphabetical order.
I would estimate around 5
Step-by-step explanation:
The number of the different ways that the books can be arranged will be 126126 and 6.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A clerk at a bookstore is restocking a shelf of best-selling novels. He has five copies each of three different novels.
Then the number of the different ways by which he can arrange the books on the shelf will be
⇒ 15! / (5! x 5! x 5! x 3!)
⇒ 126,126
Then the number of the different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together will be
⇒ 3!
⇒ 6
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Each block on the grid is 1 unit by 1 unit. We wish to walk from A to B via 7 unit path but we have to stay on the grid. How many different paths can we take?
Answer:
The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths
Step-by-step explanation:
Given that we are to walk via a 7 unit path, we have;
Path to walk = Right or Left from start point A
Total number of rights and left to get to point B from A must be 7
3 of the turns have to be in the left direction while 4 of the turns are right
Therefore, in 7 turns we have 4 in the right direction and 3 in the left direction which gives;
Number of ways for the first turn = 7, the next turn has 6 ways after that 5 and so on so we have;
7 × 6 × 5 × 4 × 3 × 2 × 1 out of which four are in the right direction in 4 × 3 × 2 × 1 ways and 3 are in the left direction in 3 × 2 × 1 ways, which gives the number of ways as follows;
[tex]Number \, of \, ways = \dfrac{7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1 \times 3\times 2\times 1 } =\dfrac{5040}{144} = 35[/tex]
Therefore, there are 35 paths we can take to walk from A to B via a 7 unit path while staying on the grid.
Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 15 yards and hypotenuse 25 yards.
a.
20 yd
b.
150 yd
c.
60 yd
d.
300 yd
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
X² + 15² = 25²
Then you must figure out what 15² and 25².
15² = 225
25² = 625
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
625 - 225 = 400.
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
√400 = 20.
The missing length of the triangle is 20 yards.
Now it's just a matter of finding the area by using the formula;
A = [tex]\frac{bh}{2}[/tex]
Or,
(20 × 15) ÷ 2 = 150.
And there's your answer. Don't forget to add the units.
Hope this helped.
20 POINTS AND BRAINLIEST! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. A) How many ways can we choose three states to be represented?
Answer:
A) 19,600
Step-by-step explanation:
A) How many ways can we choose three states to be represented?
To solve for the above question, we would be using the Combination formula
The combination formula is given as:
C(n , r) = nCr = n!/r! (n - r)!
Where n = 50
We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,
r = 3 ( senator committee)
nCr = n!/r! (n - r)!
50C3 = 50! / 3! (50 - 3)!
50C3 = 50! / 3! × 47!
50C3 = 19,600
Therefore, the number of ways can we choose three states to be represented is 19,600 ways.
39. Write a ratio and a percent for the shaded area.
Hey there! :)
Answer:
First choice. 36/100 or 36%.
Step-by-step explanation:
Total # of squares:
10 × 10 = 100 squares.
# of squares shaded:
6 × 6 = 36 squares.
shaded/total to find the percent shaded:
Fraction: 36/100
Percentage: 36/100 × 100 = 36%.
Help please!!!!!!!!!!! Due tomorrow
Answer:
x = 20
Step-by-step explanation:
Perimeter = Sum of all sides
Perimeter = (x+4)+(4x)+10x-(10)
Where Perimeter = 294 in.
294 = 15x-6
15x = 294+6
15x = 300
Dividing both sides by 15
=> x = 20
Ok so,
15x-6=your perimeter
15x-6=294
15x=300
300 divided by 15= 20
so x=20
substitute in your values and you should have an answer :)
Find the interest on $5,432 at 6% for 2 years.
Answer:
the interest is 5.42
Step-by-step explanation:
Answer:
Interest = 5.42
Step-by-step explanation:
p% of m PLEASE HELP IMMEDIATELY
Answer:
pm/ 100 is answer.
Step-by-step explanation:
here, p% of m
=p/100× m
= pm/ 100 ...is answer.
hope its what you are searching for..
Which of the following best describes the slope of the line below?
Answer: Zero
Explanation: For any horizontal or flat line, the slope is always 0.
Multiply the following using the vertical multiplication method:
3x2 + 5x + 1
x x2 - 2x + 4
Answer:
Step-by-step explanation:
the answer is b
The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given expression are 3x² + 5x + 1 and x² - 2x + 4
Now,
3x² + 5x + 1
× x² - 2x + 4
__________
12x²+20x+4
-6x³-10x²-2x
3x⁴+5x³+x²
_______________
3x⁴-x³+3x²+18x+4
Therefore, option B is the correct answer.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ2
a bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies. How many cups os oats are required per pound of cookies?
Answer: 7/5 or 1 2/5
Step-by-step explanation:
Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.
You need to find the unit price.
So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7
You need to do the same thing to 3 3/5 cups.
3 3/5 as an improper fraction is 18/5
2 4/7 as an improper fraction is 18/7
Now to divide you need to keep, change, and flip
keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18
18/5*7/18=7/5
7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies
The total number of cups of oats are required per pound of cookies is 7/5 and this can be determined by using the unitary method.
Given :
A bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies.
The following steps can be used in order to determine the total number of cups of oats are required per pound of cookies:
Step 1 - The unitary method can be used in order to determine the total number of cups of oats are required per pound of cookies.
Step 2 - According to the given data, a bakery uses 18/5 cups of oats to make 18/7 pounds of oatmeal cookies.
Step 3 - So, the total number of cups of oats are required per pound of cookies is:
[tex]=\dfrac{\dfrac{18}{5}}{\dfrac{18}{7}}[/tex]
Step 4 - Simplify the above expression.
= 7/5 cups/pound
For more information, refer to the link given below:
https://brainly.com/question/12116123
The length of a rectangle is 2 inches less than three times it’s width.and it’s perimeter is 36 inches .find the width of the rectangle. A. 5 in B .10 in C.4in
Answer:
A
Step-by-step explanation:
Let width =w in
Length = 3w - 2 in
Perimeter of rectangle = 36 inches
2* (length + width ) = 36
2*(3w -2 + w) = 36
2* (4w -2 ) = 36
2*4w - 2*2 = 36
8w - 4 = 36
Add 4 to both sides
8w - 4 + 4 = 36 +4
8w = 40
Divide both sides by 8
8w/8 = 40/8
w = 5
Width = 5 in
can anyone plz help me
Answer:
Bruh.........................
Step-by-step explanation:
what is 1 1/16 rounded to the nearest half? ( need answer now please)
Answer:
1
Step-by-step explanation:
Halves:
0
0.5
1
1.5
2
1 1/16 = 1.0625
1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1
74°
X +85
33°
A) 4
C) -12
B) -5
D) -11
74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)
192=180-x
192-180=-x
12=-x
-12=x
Which of the following is equivalent to
Answer:
d
Step-by-step explanation:
reciprocal theorem or whatever states that instead of dividing just flip and change sign to multiply
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1050 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
Which statement is true? All quadrilaterals have at least 1 pair of parallel sides. Parallelograms have 2 pairs of congruent angles. A rhombus is a rectangle. A trapezoid is a parallelogram.
Answer:
PARALLELOGRAM have 2 pairs of congruent angles
Step-by-step explanation:
QUADRILATERALS have one pair of parallel lines. If it has two sets, it NOW become a PARALLELOGRAM.
The statement first is All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
What is quadrilateral?A figure enclosed by the four sides and the sum of all the angles are equal to 360.
Properties of a quadrilateral are:-
A quadrilateral has four sides (edges)
A quadrilateral has four vertices (corners)
A quadrilateral has interior angles that add to 360 degrees:
Types of quadrilateral are square, rectangle, rhombus, trapezoid, and parallelogram.
So here All quadrilaterals have at least 1 pair of parallel sides. and Parallelograms have 2 pairs of congruent angles that are true.
To know more about Quadrilaterals follow
https://brainly.com/question/23935806
what pattern exists in each period of 356,039?
Answer:
1/1
Step-by-step explanation:
because that is it
Solve for x: –|2x+3|=1
Step-by-step explanation:
-|2x+3|=1
-|2x+3|/-1=1/-1
|2x+3|=-1
2x=-1-3
2x=-4
2x/2=-4/2
x= -2
A six-sided die is rolled twice. What is the probability that the result of both rolls are
a 1?
01/6
2/36
1/36
2/6
Answer:
1/36
Step-by-step explanation:
If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them
Hope this helps
Answer:
1/36.
Step-by-step explanation:
Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.
The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.
The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.
So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.
Hope this helps!
Suppose that y varies directly as x. When x is 7, y is 2. Solve for y when x is 63. (Enter an exact number.)
A candle is burning. It starts out 12 inches long. After 1 hour, it is 10 inches long. After 3 hours, it is 5.5 inches
long.
1. When do you think the candle will burn out completely?
2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,
Answer:
The equation of the burning of the candle is
[tex]y = -2x + 12[/tex]
It would take 6 hours for the candle to burn out completely.
Step-by-step explanation:
A candle is burning. It starts out 12 inches long.
After 1 hour, it is 10 inches long.
After 3 hours, it is 6 inches (5.5 must be a typing error)
2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,
The burning of this candle can be modeled by a linear equation of the form
[tex]y = mx + b[/tex]
where y is the length of the candle in inches, x is the time in hours, m is the slope and b is the y-intercept.
The height of the candle is clearly a function of time since it changes with time.
The slope m is given by
[tex]$ m = \frac{y_2 - y_1}{x_2 - x_1} $[/tex]
Where
[tex](x_1, y_1) = (0, 12) \\\\(x_2, y_2) = (1, 10) \\\\[/tex]
[tex]$ m = \frac{10 - 12}{1 - 0} $[/tex]
[tex]m = -2[/tex]
The slope of negative 2 means that the length of the canlde is decreasing by a factor of 2.
To find the value of the y-intercept (b),
substitute (x, y) = (0, 12)
which means that at x = 0 the length of the candle is 12 inches.
[tex]y = mx + b \\\\12 = -2(0) + b \\\\b = 12[/tex]
So the equation of burning of the candle becomes
[tex]y = mx + b \\\\y = -2x + 12 \\\\[/tex]
1. When do you think the candle will burn out completely?
Since we have the equation now we can find the length of the candle for any given time and also find the time required for a specific length of the candle.
Burn out completely means the length of the candle becomes zero.
[tex]y = -2x + 12 \\\\0 = -2x + 12 \\\\-2x = -12 \\\\x = 12/2 \\\\x = 6 \: hours \\\\[/tex]
Therefore, it would take 6 hours for the candle to burn out completely.
Sigma1^30 (3n + 7) = [? ]
Answer:
1425
Step-by-step explanation:
∑ 1 ^30 (3n+1)=4+7+10+... 30 terms
a=4
n=30
d=7-4=3
[tex]S_{30}=\frac{30}{2}[2 \times 4+(30-1) \times 3]\\=15[8+87]\\=15 \times 95\\=1425[/tex]
Answer:
1605
Step-by-step explanation:
hope this helps you guys on acellus
The total cost of a new calculator is
$81.05. This price includes a 10% student
discount. Followed by a 6.5% sales tax.
What was the original price of the
calculator, not including the tax or the
discount?
This question bus incomplete because it lacks the appropriate options.
Complete Question
The total cost of a new calculator is
$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?
A. $77.69
B. $83.99
C. $78.80
D. $84.56
Answer:
D. $84.56
Step-by-step explanation:
From the question, we are given the following values
Total cost of a new calculator = $81.05
Student discount = 10%
Sales tax = 6.5%
The formula to use is
Total price = Original price ( 1 ± r)
Where r = rate of the discount or sales tax
Step 1
Find the original price of the calculator without the discount
Because we are calculating using discount we are using the minus sign
Total price = $81.05
r = 10% = 0.1
Total price = Original price ( 1 - r)
$81.05 = Original price (1 - 0.1)
$81.05 = Original Price × 0.9
Original price = $81.05÷ 0.9
= $90.055555556
Approximately, the original price without the 10% discount is $90.06
Step 2
Find the Original price without the sales tax
Because we are calculating using sales tax we are using the plus sign
Total price = $90.06
This is because the Original price without the discount = Current total price with sales tax for step 2
r = 6.5% = 0.065
Total price = Original price ( 1 + r)
$90.06 = Original price (1 + 0.065)
$90.06 = Original Price × 1.065
Original price = $90.06÷ 1.065
= $84.563380282
Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56
Consider the quadratic function f(x) =
3x2–5x + 12. Which statements are true about the function and its
graph? Select three options.
Answer:
A, B, D
Step-by-step explanation: