What number rounded to the tens equals 300
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
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:
A cable company had 260 subscibers.The ratio of regular subscribers to premium subscribers was 10:3.How many regular subscribers did they have
Final answer:
The cable company had approximately 866.67 regular subscribers.
Explanation:
To find the number of regular subscribers, we need to set up a proportion using the given ratio. The ratio of regular subscribers to premium subscribers is 10:3, which can be written as 10/3. Let x represent the number of regular subscribers.
We can set up the proportion:
10/3 = x/260
Cross-multiplying, we get:
3x = 260 * 10
3x = 2600
Dividing both sides by 3, we find:
x = 2600 / 3
Therefore, the cable company had approximately 866.67 regular subscribers.
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.
Need Help!
All of the following are equivalent fractions except
5/20
8/40
3/15
6/30
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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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
Todd has 3/4 of an apple left from breakfast. His sister eight 1/8 of what is left. How much of the Apple is left?
5/8 is the answer. I just x the numerator and denominator by 2 to be 6/8-1/8=5/8
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
mattttttthhhhhhhhhhhhhh , i need help
Find the equation of a line that goes through the points (0,3), and (−10,4).
a.y=−110x+3
b.y=−10x
c.y=−110x
d.y=−13x
e.y=−10x+3
The slope-point formula:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have (0, 3) and (-10, 4)
Substitute:
[tex]m=\dfrac{4-3}{-10-0}=\dfrac{1}{-10}\\\\y-3=-\dfrac{1}{10}(x-0)\qquad|\text{add 3 to both sides}\\\\y=-\dfrac{1}{10}x+3\to\boxed{A.}[/tex]
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:
How can you divide the pitchers into equal groups? Is there more than one way? Use your results to describe the entire collection of pitchers.
find the distance between (6,6) and(2,9)
The formula of a distance between two points A and B:
[tex]|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]
We have A(6, 6) and B(2, 9).
Substitute:
[tex]|AB|=\sqrt{(2-6)^2+(9-6)^2}=\sqrt{(-4)^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex]
Answer: 5 units.A particular model rocket kit uses the scale 1 : 144. The actual rocket is 168ft tall. How tall will the model rocket be when completed
answer is equal to 168/144
7/6feet
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)
Find the volume of the tra ezoidal prism in the figure.
A. 72 m3
B. 252 m3
C. 432 m3
D. 216 m3
To solve this problem you must apply the proccedure shown below:
1. You can use the following formula for calculate the volume:
[tex]V=(\frac{a+b}{2})(h)(l)[/tex]
Where:
[tex]a=6m\\b=12m\\h=8m\\l=3m[/tex]
2. Now, you must substitute the values above into the formula:
[tex]V=(\frac{a+b}{2})(h)(l)\\V=(\frac{6m+12m}{2})(8m)(3m)\\V=216m^{3}[/tex]
Therefore, the answer is the last option: D. 216 m³.
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
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]
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?
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
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
Which of the following equations represents the line with a slope of negative 8/7 and a y-intercept of negative 3?
y = 8/7x - 3
y = 8/7x + 3
y = -8/7x - 3
y = -8/7x + 3
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]
Please solve the inequality for p
4p + 2 < 2(p + 5)
P<1.5
Step-by-step explanation:
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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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!
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Have a great day!
-Charlie
Which table represents the graph
I believe it is A. I did this awhile ago.