Divide 5 pages by 3 hours to fins how many pages he wrote in 1 hour:
5 pages / 3 hours = 1 2/3 pages per hour.
Multiply 1 2/3 pages per hour by total hours to find total pages.:
1 2/3 x 8 = 13 1/3 pages (13.33)
Given A(3,2) and B(-5,8) how far apart are points A and B? *
10 units
calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 5, 8 )
d = √(- 5 - 3 )² + (8 - 2 )²
= √(64 + 36 ) = √100 = 10
Which table represents the graph
I believe it is A. I did this awhile ago.
What should you do first to write 5.871x10-7 in standard form'
The standard form of the number 5.871x10⁻⁷ is 0.0000005871 after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number is:
= 5.871x10⁻⁷
After using the properties of the integer exponent:
= 5.871x(1/10⁷)
= 5.871x(1/10000000)
= 5.871x0.0000001
= 0.0000005871
Thus, the standard form of the number 5.871x10⁻⁷ is 0.0000005871 after using the properties of the integer exponent.
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Susan can read 15 pages in 45 minuets. How many pages can she read in 60 minutes
Answer:
45mins ÷ 15pages = 3
so she reads 3pages per minute
3pages × 60minutes = 180
she read 180pages in 60minutes
hope this helps
Step-by-step explanation:
The sum of two number is 21. The second number is 6 time the first number. work out the two number.
you said times and sum, sum is addition and times is multiplication so im confused. can you copy the exact question so i can help?
A square technology chip has an area of 25 square centimeters how long is each side of the chip
ANSWER
Each side of the chip is 5 centimeters long.
EXPLANATION
The chip is in the form of a square.
The formula for finding the area of a square is
[tex]Area=l^2[/tex]
We were given in the question that, the area is 25 square centimeters. This means that,
[tex]25=l^2[/tex]
We take the square root of both sides to get,
[tex]\sqrt{25}=l[/tex]
[tex]\Rightarrow 5=l[/tex]
Hence the length of the square technology chip is 5 centimeters
PLEASE HELP ASAP
Prove that x+a is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5
[tex]P(x)=(x+a)^5 + (x+c)^5 + (a-c)^5[/tex]
If [tex]x+a[/tex] is a factor of [tex]P(x)[/tex], then [tex]-a[/tex] is a root of [tex]P(x)[/tex].
Therefore
[tex](-a+a)^5+(-a+c)^5+(a-c)^5=0\\\\0^5+(-1(a-c))^5+(a-c)^5=0\\\\(-1)^5(a-c)^5+(a-c)^5=0\\\\-(a-c)^5+(a-c)^5=0\\\\0=0[/tex]
Which is the intersection of the sets {2,3,5,7} and {2,5,11,13}?
A.null set
B.{2,3,5,7,11,13}
C.{2,5}
D.{3,7,11,13}
ANSWER
The set of the intersection of {[tex]2,3,5,7[/tex]} and {[tex]2,5,11,13[/tex]} is
{[tex]2,5[/tex]}
EXPLANATION
Let [tex]A=[/tex]{[tex]2,3,5,7[/tex]}
and
[tex]B=[/tex]{[tex]2,5,11,13[/tex]}.
The intersection of the two sets are the elements that are in both set A and set B.
The elements that are common to both sets are 2 and 5. So, we write;
[tex]A \cap B=[/tex]{[tex]2,5[/tex]}
Therefore the correct answer is C
The intersection of the sets {2,3,5,7} and {2,5,11,13} is the set {2,5}, which has the elements common to both sets. Therefore option c is correct
Explanation:The intersection of two sets is the set of elements common to both sets. In the provided sets {2,3,5,7} and {2,5,11,13}, the common elements are 2 and 5. Therefore, the intersection of these two sets is {2,5}. So, the correct answer is C. {2,5}.
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Help with this geometry question, thank you . Only answer if your sure , thank you again
dude its b thats easy and yes im sure 4 units down and sense its not reflection then thats the answer
Distributive property for 144 divided by 8 (5th grade)
Need Help!
All of the following are equivalent fractions except
5/20
8/40
3/15
6/30
consider the equation 2x +4y =12. Solve for y
Hello!
Solve for y.
[tex]2x +4y =12[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓
First you had to add by -2x from both sides of the equation.
[tex]2x+4y+-2x=12+-2x[/tex]
[tex]4y=-2x+12[/tex]
Then divide by 4 from both sides of the equation.
[tex]\frac{4y}{4}=\frac{-2x+12}{4}[/tex]
Simplify it should be the correct answer.
[tex]y=\frac{-1}{2}x+3[/tex]
Answer⇒⇒⇒⇒⇒⇒y=-1/2x+3
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
The perimeter of △ABC is approximately 25.93 units. The area of △ABC is approximately 28.62 square units.
Given that △ABC has m∠A=60°, m∠C=45°, and AB=9, we can use trigonometry to find the missing side lengths and then use them to calculate the perimeter and area of the triangle.
First, we can use the fact that the sum of the angles in a triangle is 180° to find m∠B:
m∠A + m∠B + m∠C = 180°
60° + m∠B + 45° = 180°
m∠B = 75°
Next, we can use the law of sines to find the length of side BC:
sin 60° / 9 = sin 75° / BC
BC = sin 75° * 9 / sin 60°
BC ≈ 8.14
Finally, we can use the fact that the sum of the side lengths of a triangle is its perimeter to find the perimeter of △ABC:
Perimeter = AB + BC + AC
Perimeter = 9 + 8.14 + AC
To find AC, we can use the fact that the angles in a triangle add up to 180°:
m∠A + m∠B + m∠C = 180°
60° + 75° + m∠C = 180°
m∠C = 45°
Now we can use the law of sines again to find AC:
sin 45° / AC = sin 60° / 9
AC = sin 45° * 9 / sin 60°
AC ≈ 7.79
Substituting this value into the equation for the perimeter, we get:
Perimeter = 9 + 8.14 + 7.79
Perimeter ≈ 25.93
Therefore, the perimeter of △ABC is approximately 25.93 units.
To find the area of △ABC, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
We can use the fact that △ABC is a right triangle (since m∠C = 45°) to find the height:
sin 45° = height / 9
height = sin 45° * 9
height ≈ 6.36
Substituting the values for the base and height into the formula for the area, we get:
Area = 1/2 * 9 * 6.36
Area ≈ 28.62
Therefore, the area of △ABC is approximately 28.62 square units.
Perimeter of △ABC: 20.67 units,
Area of △ABC: 20.11 square units.
Explanation:In △ABC, we are given that ∠A = 60°, ∠C = 45°, and AB = 9 units. To find the perimeter, we need to calculate the length of side BC. Using the angles, we can determine that ∠B = 180° - ∠A - ∠C = 75°. Now, applying the Law of Sines, we find BC ≈ 8.21 units. The perimeter, therefore, is the sum of the three sides: 9 + 8.21 + BC ≈ 20.67 units.
For the area, we can use the formula A = 0.5 * AB * BC * sin(∠C). Substituting the known values, we get A ≈ 0.5 * 9 * 8.21 * sin(45°) ≈ 20.11 square units.
Explanation:
In the main answer, we first addressed the perimeter by finding the length of side BC through the Law of Sines. The perimeter is then calculated by summing the three sides.
Moving on to the area, we employed the formula for the area of a triangle involving two sides and the sine of the included angle. Substituting the given values, we obtained the area of △ABC as approximately 20.11 square units.
These calculations showcase the application of trigonometric principles in solving geometric problems involving angles and side lengths. The Law of Sines and the area formula for triangles provide a mathematical framework for determining these essential properties.
two show your work questions
Answer:
x = 1; y = 1; z = 0
Step-by-step explanation:
First problem:
First equation minus second equation: 3y + 2z = 3 Eq. A
Second equation plus third equation: 2y + 4z = 2 Eq. B
-2 times Eq. A plus Eq. B: -4y = -4
y = 1
Substitute y = 1 in Eq. A: 3 + 2z = 3
2z = 0
z = 0
Substitute z = 0 and y = 1 in original first equation:
-2x + 2 + 0 = 0
-2x = -2
x = 1
Answer: x = 1; y = 1; z = 0
Write an equation of the parabola in intercept form with x-intercepts of 12 and -6; and an axis of symmetry of (14, 4).
Please show work!
Intercept form is: y = a(x - p)(x - q)
It is given that: p = 14, q = -6, x = 14, y = 4
4 = a(14 - 12)(14 - (-6))
4 = a(2)(20)
4 = 40a
[tex]\frac{4}{40} = \frac{40a}{40}[/tex]
[tex]\frac{1}{10} = a[/tex]
Answer: y = [tex]\frac{1}{10}[/tex](x - 14)(x + 6)
A quarterback is sacked for a loss of 5 yard in Th e next play, his team loses 15yards then Th e team gain12yards on Th e third play
Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she could afford to buy?
Answer:
Anything that does not cost more than $2,560.00
Step-by-step explanation:
Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?
It is a problem of simple interest:
Here the principal amount (P) = $2,000.00
Interest rate (r) = 4%
Time period (t) = 7 years
So, total amount that she would get by the end of 7 years is:
[tex]A=P+SI[/tex]
[tex]SI=\frac{P\times r\times t}{100}[/tex]
Plugging the values we get:
[tex]SI=\frac{2000\times 4\times 7}{100}=560.00[/tex]
So the interest collected over 7 years is $560.00
Therefore, the total amount after 7 years is:
[tex]\$2000.00+\$560.00=\$2,560.00[/tex]
If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.
Answer:
The answer is B (a mountain bike priced at $2,500) in Plato
Step-by-step explanation:
The graph below represents which of the following functions?
This is a more difficult one to explain. Let's start with the line to the right. It has a slope (m) of [tex]\frac{-2}{2}[/tex] = -1 and a y-intercept of +3 (continue the line to see where it crosses the y-axis). So, the equation of that line is: y = -x + 3 when x ≥ 2. This can also be written as y = 3 - x when x ≥ 2. The only option that has that equation is A.
Answer: A
First of all, you can see that this is a piecewise polynomial, since it is shaped like a parabola before [tex] x = 2 [/tex], and is a line after [tex] x = 2 [/tex] So, option C is surely wrong, because it uses [tex] x = 3 [/tex] as splitting point.
Moreover, the way the parabola "bounces" on the x axis, avoiding its negative part, tells us that there is an absolute value. This excludes options B and D, and the answer is thus A.
Find the percentage of each number 0.9percent of 1000
Answer:
9
Step-by-step explanation:
0.9 per cent of 1000 = 0.9(1000)/100 = 0.9(10) =9
Please help asap 28 pts
The answer to this question is A
There are 42 pairs of shoes at the skate rental office.How many individual shoes are there in all?
In order to answer this question, you must do some multiplication!
So, in order to have a pair of shoes, you must have 2 shoes. There are 42 PAIRS of shoes. So if you wanna find the number of ALL of the shoes, you have to multiply da numbers.
42 × 2 = 84
There are 84 shoes altogether.
If you need anymore help, just let me know!
The number of shoes in one pair is two thus there will be 84 in the office.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given,
Number of pairs of shoes = 42
Number of shoes in one pair of shoes = 2
Total number of individual shoes = 42 x 2 = 84
Hence "The number of shoes in one pair is two thus there will be 84 in the office".
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show use your work.There are approximately 402.5 meters around a typical running track sandra has challenged herself to run 10 laps a dya for 5 days.How many meters will sandra run if she meets her challenge?
Serena makes $9 per hour cutting laws. Each day, she earns about $15 in tips. If serena makes less than $100 on monday, witch inequality represents h, the number of hours she worked on monday
A salad dressing recipe requires at least 8 oz of oil to be combined with some combination of vinegar and lemon juice in a 16 oz container. What inequality models this situation? Let x represent the number of ounces of vinegar and let y represent the number of ounces of lemon juice. Enter your answer in the box.
Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
[tex]x+y+8\leq16[/tex]
Dan earns £9.90 per hour how much will he earn for 6 hours work?
Dan will earn £59.40 for 6 hours of work.
Explanation:To calculate Dan's earnings for 6 hours of work, we can multiply his hourly rate (£9.90) by the number of hours (6).
So, Dan will earn £9.90 x 6 = £59.40 for 6 hours of work.
Therefore, Dan will earn £59.40 for 6 hours of work.
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What number rounded to the tens equals 300
What is the answer for this? The Glee club has 120 cupcakes to sell. They have decided to arrange the cupcakes in the shape of a rectangle, such that the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they create? Please answer how many arrangements of cupcakes they can make?!?!? Thx
Answer: 4
Step-by-step explanation:
Find all of the factor pairs of 120, then look for the ones that are even-odd
120
∧
120 1 even-odd
60 2 even-even
40 3 even-odd
30 4 even-even
24 5 even-odd
20 6 even-even
8 15 even-odd
10 12 even-even
There are 4 even-odd factors pairs for 120.
An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 6m and a depth of 1.7 m. Suppose water is pumped into the pool at a rate of 11 m3 per hour. How many hours will it take to fill the empty pool?
Use the value 3.14 for π, and round your answer to the nearest hour. Do not round any intermediate computations.
PLEASE SOMEONE HELP ME THANK YOU!!
Follow this as an example
An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of
10 m
and a depth of
1.4 m
. Suppose water is pumped into the pool at a rate of
11 m3
per hour. How many hours will it take to fill the empty pool?
Use the value
3.14
for
π
, and round your answer to the nearest hour. Do not round any intermediate computations.
The formula for the volume of a cylinder is ∏r2h. The problem gives d=10m, so r=5m.
The pool holds (3.14)*52*1.4 m3 = 109.9 m3 of water.
At a rate of 11 m3 per hour:
( 109.9 m3 ) / (11 m3/hr) = 9.990909 hr.
rounding to the nearest hour, this is 10 hours
The pool has a volume of approximately 47.97 cubic meters. The pump can fill 11 cubic meters per hour. Therefore, rounding up, it will take roughly 5 hours to fill the pool.
Explanation:The volume of the swimming pool shaped like a cylinder can be calculated using the formula for the volume of a cylinder which is V = πr2h, where r is the radius, h is the height (or depth in this case) and π is a constant whose value we'll take as 3.14. Therefore, the volume of the pool is V = 3.14 * (6/2)2 * 1.7.
Once we have the volume, we can divide this by the rate of water being pumped in, in terms of how many cubic meters it pumps per hour, to find out how many hours it would take. So the time taken to fill the pool, in hours, is Time = Volume / Rate.
By substituting the numbers we have into these formulas, we get V = 3.14 * 9 * 1.7 = 47.97 m3, and Time = 47.97 m3 / 11 m3/hour = approximately 4.36 hours. Since we need to round up to the nearest hour, the pool will take about 5 hours to fill.
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Cara is grocery shopping and needs chicken and steak for the barbeque she is having on saturday. Chicken is $2.99 per pound and steak is $5.79 per pound. She knows she wants to spend exactly $50 on meat. If c represents pounds of chicken and s represents pounds of steak, which equation represents this situation?
(2.99×c)+(50×s) this is the equation for the word problem
Please help 20 POINTS. Problem is below!!
10 units up means to add 10 to the y-coordinate of the vertex (h, k).
p(x) = 0.005(x - 40)² + 60
p(x) shifted up 10 units = 0.005(x - 40)² + (60 + 10)
q(x) = 0.005(x - 40)² + 70