Answer:500 I hope this helpful
Step-by-step explanation:
3000 divided by 48 times 8
To make the calculation easier, first multiply the numbers that result in multiples of 10
24000 divided by 48
Divide the numbers
=500
Answer:
250
Step-by-step explanation:
If we follow the rules of PEMDAS, we go from left to right. Therefore, first, do 3,000 divided by 48.
3,000/48=62.5
Now, multiply 62.5 by 4.
62.5x4= 250
250 is your answer :D
Hope this helps and have a wonderful day!
Select 3 correct and answer?
___ l
___ m
___ n
___ j
___ no lines are parallel
___ Corresponding Angles Converse
___ Alternate interior Angles Converse
___ Alternate Exterior Angles Converse
___ Consecutive interior Angles Converse
These sentences are correct among all the given sentences & in terms of a given diagram.
Corresponding Angles Converse
Alternate interior Angles Converse
Alternate Exterior Angles Converse
What are the corresponding angles?
In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance. In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.
We have,
no lines are parallel
Corresponding Angles Converse
Alternate interior Angles Converse
Alternate Exterior Angles Converse
Consecutive interior Angles Converse
By considering the given diagram the correct sentences are:
Corresponding Angles Converse
Alternate interior Angles Converse
Alternate Exterior Angles Converse
Hence, these sentences are correct among all the given sentences & in terms of a given diagram.
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Answer:
Line l is parallel to line n.
Alternate interior angle converse.
Step-by-step explanation:
Angles 8 and 19 are alternate interior angles of lines l and n cut by transversal k.
Since angles 8 and 19 are congruent, then by alternate interior angle converse, lines l and n are parallel.
An airline passenger fell asleep halfway to her destination. When she awoke, the distance remaining was half the distance travelled while she slept. How much of the entire trip did she sleep?
Answer:
1/4 of the trip
Step-by-step explanation:
The questions is asking what is 1/2 of 1/2 and that would b 1/4
please find the equation
Answer:
Below
Step-by-step explanation:
FIRST, note that it has a negative slope ( goes downhill when reading from L to R) .....this is nice to know to see if you calculate slope correctly:
Find two convenient integer coordinates to calculate slope
( 0,2) and (4,0)
slope = (2-0)/(0-4) = m = -1/2
b = y-axis intercept = +2 ( from the graph )
Line equation is y = mx + b
y = -1/2 x + 2
The ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has 36 units of nitrogen. How much potassium does the sample have?
Group of answer choices
48 units
21 units
27 units
33 units
Answer:
27 units
Step-by-step explanation:
12 over 4
36 over x
x = 27
linear equation
Answer:alt account
Step-by-step explanation:
Linear equations by graphing y=3/4x-4 y=-1/2x+11
The solution to the linear equations y=3/4x-4 and y=-1/2x+11, as shown in the graph in the attachment is: (12, 5).
How to Find the Solution to a System of Linear Equations by Graphing?If the lines that represent the linear equations of a system are graphed, the coordinates of x and y of the point where the two lines intersect is the solution to the system of linear equations.
Given the equations, y = 3/4x - 4 and y = -1/2x + 11, the line of y = 3/4x - 4 is the red line in the image attached below which has a slope of 3/4 and a y-intercept of -4, while the line of y = -1/2x + 11 is the blue line that has a slope of -1/2 and has a y-intercept of 11.
The graph also shows that the lines of both linear equations intersect at (12, 5).
Therefore, the solution to the linear equations is:
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Cuántos metros cuadrados mide la superficie de un salón de fiestas infantiles con forma de rombo cuyas diagonales miden 12 y 18 metros
The area of the rhombus is 108m²
Surface Area of RhombusThe area of a rhombus can be defined as the amount of space enclosed by a rhombus in a two-dimensional space. A rhombus is a type of quadrilateral projected on a two dimensional (2D) plane, having four sides that are equal in length and are congruent.
The formula of a rhombus is given as
A = (d₁ * d₂) ÷ 2
where d₁ and d₂ are the diagonals
d₁ = 12m
d₂ = 18m
A = (12 * 18) / 2
A = 108m²
The area is 108 squared meter
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Translation: How many squared meters does the surface of a rhombus-shaped children's party room whose diagonals measure 12 and 18 meters?
Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true?
The previous length and width are 20 ft and 12 ft, new length and width are 30 ft and 18 ft thus, option (C) is correct.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
As per the given scale factor 1 in 4ft
Previous length = 5 × 4 = 20 feet
Previous width = 3 ×4 = 12 ft
As per the given scale factor 1 in 6ft
Previous length = 5×6 = 30 feet
and New width = 3 × 6 = 18 feet
Hence" the Previous length and width are 20 ft and 12 ft, new length and width are 30 ft and 18 ft".
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The complete question is below,
Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true?
The length of the flower box under the new scale is 15 ft.
The length of the flower box under the old scale is 30 ft.
The width of the flower box under the old scale is 12 ft.
The width of the flower box under the new scale is 24 ft.
Which pair of numbers has an lcm of 16
Answer:4 and 16
Step-by-step explanation:
4 = 4, 8, 12, 16, 20
16 = 16, 32..
LCM = 16
Find the missing number.
n/5 = 7/8
Answer:
3!
Step-by-step explanation:
Hope this helped ! :D
A triangle has a side with length 9 feet and another side with length 7 feet. The
angle between the sides measures 69°. Find the area of the triangle. Round your
answer to the nearest tenth
Answer:
63
Step-by-step explanation:
SOLVE FOR R
8 = 4 − –r
R=
PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ
Answer:
(0,0)
Step-by-step explanation:
For this, you need to use the midpoint formula.
(-3) + 3 2 + (-2)
-------------- , ----------------
2 2
This leads to:
-3 + 3 = 0 -> 0/2
x = 0
3 + (-3) = 0 -> 0/2
The answer is:
(0, 0)
After adding the two equations to eliminate x you are left with 4y=-8. Solve for y: y =
Answer: -2
Step-by-step explanation:
4y/4 = -8/4
y = -2
Answer:
Step-by-step explanation:
Answer is -2
Pls help me with this u will get 40 brainly points plsssss
Using the attached process, the square roots and cube roots are estimated as follows:
1. √15 = 3.81
2. √44 = 6.6.
3. √81 = 9
4. ∛12 = 2.88.
5. ∛125 = 5
6. ∛320 = 6..8
2)The mistake made by Jan is in the place of 17cm we get 13cm by sing Pythagorean theorem. Therefore, perimeter is 30cm.
3) The error of Joshua is that he miscalculated the third length of the triangle.
From the Pythagorean theorem, we have learned that a²+b²=c²
What is Pythagorean theorem?In mathematics, the Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of a square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
The attachment depicts the procedure we will use.
The first step is to make a list of all the perfect squares from 1 to 100, followed by all the perfect cubes from 1 to 1000.
1 to 100 perfect squares; 4, 9, 16, 25, 36, 49, 64, 81, 100
1 to 1000 perfect cubes; 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.
1) √15
The perfect squares that are nearest are 9 and 16.
√9 < √15 < √16
⇒ 3 < √15 < 4
Now, √15 is between 3 and 4.
We can estimate √15 as 3.81
2) √44
The perfect squares that are nearest are 36 and 49.
√36 < √44 < √49
⇒ 6 < √44 < 7
Now,√44 is between 6 and 7.
So, we can estimate √44 as 6.6
3) √81
Because this is a perfect square, the approach used to estimate non-perfect squares does not apply. Thus;√81 = 9
4) ∛12
The perfect cubes that are nearest are 8 and 27
Thus; ∛8 < ∛12 < ∛27
⇒ 2 < ∛12 < 3
Now,√12 is between 2 and 3.
So, we can estimate ∛12 as 2.88.
5) ∛125
Because this is a perfect cube, the approach used to estimate non-perfect squares does not apply. Thus;∛125 = 5
6) ∛320
The perfect cubes that are nearest are 216 and 343
Thus; ∛216 < ∛320 < ∛343
⇒ 6 < ∛320 < 7
Now, ∛320 is between 6 and 7.
So, we can estimate ∛320 as 6..8
2) Perimeter of the triangle=L+L+L
Given, Perimeter=5cm+12cm+17cm
=34cm
The mistake he made wrong is,
By using Pythagorean theorem,
√a²+b²=c²
√5²+12²=c²
√25+144=c²
√169=c²
13=c
Therefore, perimeter of the triangle is 5cm+12cm+13cm=30cm
3) First we calculate the third length of the triangle x.
As the triangle is a right triangle we use Pythagorean theorem.
x²=7²+7²
x²=2(7²)
Squaring on both sides, we get
x=√2(7²)
x=7√2
The other shape in the given figure is square.
Therefore the perimeter P is given by,
P=7+x+x+x+7
So, P=7+7√2+7√2+7√2+7
P=14+21√2
Hence, the error of Joshua is that he miscalculated the third length of the triangle.
From the Pythagorean theorem, we have learned that a²+b²=c².
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NEED ANSWERS ASAP PLEASE HELP!!! THE NUMBERS ARE THE QUESTION #
Area of the parallelogram is 882 square units
the solution of the inequality is plotted in the last number line
area o the glass window is 144π cm²
the second number line is the correct plot
the water left after the serving is 2 gallons 3 quart 1 pint
How to find the area of the parallelogramArea of a parallelogram is given by the formula
= base * height
= 63 * 14
= 882 square units
The solution of the number line is b/2 ≥ 4
= b ≥ 8
the last option is correct
Area of circle is solved by
= πd² / 4
= π * 24² / 4
= 144π cm²
The inequality 4 > -y
= -4 < y
The second option is correct
total fluid ounces used
= 68 * 4 = 272 ounces
272 ounces = 2.125gallons
5 - 2.125 = 2.825 gallons
2.875 gallons
0.875 gallons = 3.5 quart
2 gallons 3.5quart
0.5 quart = 1 pint
2 gallons 3 quart 1 pint
Water left in the cooler is 2 gallons 3 quart 1 pint
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You decide to buy a refurbished computer for $550.00 plus 6% sales tax. BB Electronics allow you to take out a no-interest loan for 12 months, and after that the interest rate is a 13.25% APR. You must make payments of $25/month, and if you miss one payment you are assessed a late fee of $29.00 plus 13.25% APR interest beginning from the date of purchase. How much is due the first month?
sorry its blurry but here are the numbers just in case
-3x-3
-------- =7
6
Answer: x=-15
Step-by-step explanation:
First you want to get rid of the fraction.
you multiply by 6 on each side so you get -3x-3=42. After that you add 3 to get 45, and lastly you divide 45 by -3 which gets you -15
50 points! Which expression is equivalent to 7(y - 4)? * 1 point
7y - 28
7y - 4
3y
7y - 3
I have to explain also!
help me with this you need to do associative property of addition, identity property of addition, associative property of multiplication, and identity of multiplication also tell what Properties are shown. due tomorrow morning
Answer:
12 x 12
Step-by-step explanation:
(12+0)=12
(12 x 1)= 12
6 less than the product of 10 and a number
Answer:
To write this as a sentence, it would be:
10x-6
Step-by-step explanation:
Hope this helps! HAVE A GREAT DAY! :D
10(n) - 6
Step-by-step explanation:Spell it out:6 less = -6
THAN the product of 10 and a number
(We can represent a number as n). (Product = multiplication).
10 x n
10(n) - 6
Solution:10(n) - 6
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
The number of people living in a town t years from now is P, where
p₀ = 42000
P i₊₁ = 1.02 (Pt - 550)
Work out the number of people in the town 3 years from now.
The population of a town t years from now is given by the formula[tex]P_{t+1} = 1.02(P_t - 550)[/tex]. The current population is 42,000, so there will be approximately 44,031 people in the town 3 years from now.
We are given that the population of the town t years from now is given by the formula
[tex]P_{t+1} = 1.02(P_t - 550)[/tex]
We know that the population of the town is currently 42,000, so we can use this to find the population of the town 1 year from now
P₁ = 1.02(P₀ - 550)
= 1.02(42000 - 550)
= 42669
So there will be 42,669 people in the town 1 year from now.
We can now use this to find the population of the town 2 years from now
P₂ = 1.02(P₁ - 550)
= 1.02(42669 - 550)
= 43349.18 (rounded to 2 decimal places)
So there will be approximately 43,349 people in the town 2 years from now.
Finally, we can use this to find the population of the town 3 years from now
P₃ = 1.02(P₂ - 550)
= 1.02(43349.18 - 550)
= 44031.45 (rounded to 2 decimal places)
So there will be approximately 44,031 people in the town 3 years from now.
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Select 3 side lengths that can form a right triangle. I WILL GIVE BRAINLIST!! QUICKLY
(its mulit choice so u can pick more then 1)
12
14
16
30
32
34
The 3 side lengths that can form a right triangle are 16, 30, 34
What is a right triangle?A right triangle (American English) or right-angled triangle (British), or more formally an orthogonal triangle, historically known as a rectangle triangles, is a triangle with one angle that is a right angle (that is, a 90-degree angle), i.e., two sides that are perpendicular.
The hypotenuse is the opposite side of the right angle (side c in the figure). Legs are the sides adjacent to the right angle. Side an is the side adjacent to angle B that is opposed to (or opposite) angle A, whereas side b is the side adjacent to angle A that is opposed to (or opposite) angle A.
By checking the three sides of a triangle are:
16, 30, 34
By using Pythagorean theorem,
√a²+b²=c²
=√16²+30²=34²
=1156=1156
Therefore, the 3 side lengths that can form a right triangle are 16, 30, 34
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What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?
The range of the function is {1,-1,10} for function f(x)=2x³−3x .
What is a function?A relation is a function if it has only One y-value for each x-value.
In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.
The given function is f(x)=2x³−3x
The domain is {-1,1,2}
Now f(-1)=2(-1)³-3(-1)
=-2+3=1
f(1)=2(1)³-3(1)=2-3=-1
f(2)=2(2)³-3(2)=16-6=10
Hence, the range of the function is {1,-1,10} for f(x)=2x³−3x .
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Jean Conrad is an amateur bowler with an average score of 187. She recently bowled a perfect 300 score. Write an equation that can be used to find how much the perfect score was above her average score and then solve the equation.
The equation to find out his score is above average is x = 300 - 187
and it is 113.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Jean Conrad is an amateur bowler with an average score of 187. She recently bowled a perfect 300 score.
Let the score above her average score be x,
∴ x = 300 - 187.
x = 113.
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Given z, find |z|.
z=-2-6i
[tex] \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} [/tex]
[tex] \\ [/tex]
Explanation:We are given a complex number in algebraic form, and we would like to find its modulus, |z|.
[tex] \\ \\ [/tex]
Modulus of a complex number[tex] \\ \\ [/tex]
Let's recall that a complex number in algebraic form is written as [tex] \sf z = a + ib [/tex] , where a is its real part and b is its imaginary part.
[tex] \\ [/tex]
The modulus of said complex number is calculated as follows:
[tex] \sf | \sf z| = \sqrt{a^2 + b^2} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
Let's identify our values:
[tex] \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i [/tex]
[tex] \\ [/tex]
Now, substitute these values into our formula:
[tex] \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} [/tex]
[tex] \\ [/tex]
While this may be optional, the result can be simplified by using the following property:
[tex]\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}[/tex]
[tex] \\ [/tex]
[tex] \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
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-2(12-2(-4) )^2 please help.
Answer: -800
Step-by-step explanation:
-2(12+8)^2
-2(20)^2
-2(400)
-800
(i think)
The complex fifth roots of 5-5sqrt3i
The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,
where a, and b are real numbers and i is an imaginary number.
The complex number is given in the question following as
3i
We have to determine the fifth roots of the given complex
As per the given question, we have
⇒ ⁵√3i
Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b, (Assuming a ≥ 0, b ≥ 0)
⇒ ⁵√3·⁵√i
Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.
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PLEASE IT DUE SOON!!! DONT EVEN KNOW WHERE TO START IM SO CONFUSED!!!
QUESTION DOWN BELOW!! ONLY HAVE 20MIN SO PLEASE SOMEONE!!
A test point which is in the solution set for the linear inequality is: C. (-2, 4).
How to determine the true test point?In order to determine which ordered pairs is a true solution based on the given linear inequality, we would have to test each of the ordered pairs by substituting their values into the linear inequality as follows;
For ordered pair (-2, -4), we have:
2x - 9y < 0
2(-2) - 9(-4) < 0
-4 + 36 < 0
32 < 0 (False).
For ordered pair (-1, -5), we have:
2x - 9y < 0
2(-1) - 9(-5) < 0
-2 + 45 < 0
43 < 0 (False).
For ordered pair (-2, 4), we have:
2x - 9y < 0
2(-2) - 9(4) < 0
-4 - 36 < 0
-40 < 0 (True).
For ordered pair (-1, -1), we have:
2x - 9y < 0
2(-1) - 9(-1) < 0
-2 + 9 < 0
7 < 0 (False).
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50 POINTS! I GIVE BRAINLIEST ANSWERR!!! PLEASE HELP !!!!! David is standing 500 feet away from the base of a cell phone tower. the angle of elevation from his eyes to the top of the tower is 78°. if David’s eyes are 6 feet above the ground how tall is the tower (EXPLAIN PLEASE)
The height of the tower is 2358.3 feet
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the height of the tower be = A
Let the base of the tower be at a distance of = 500 feet
Now , the angle of elevation is θ = 78°
The height of David's view = 6 feet above
So , the total height of the tower be = A + height of David's eyes
Now , A right angle triangle is formed between the tower, the angle of elevation of David's eyes and his distance from the tower
And , the opposite side = A
Adjacent side = 500 feet
So , from the trigonometric relations
tan θ = opposite side / adjacent side
tan θ = A / 500
Multiply by 500 on both sides , we get
A = tan θ x 500
Substituting the value for θ
A = tan 78° x 500
A = 4.7046 x 500
A = 2352.3 feet
Now , the total height of the tower = A + height of David's eyes
= 2352.3 + 6
= 2358.3 feet
Hence , The height of the tower is 2358.3 feet
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Write the equation of the line in fully simplified slope-intercept form.
I dont know what im doing wrong
The equation of the straight line in fully simplified slope-intercept form: [tex]y = 2x-6[/tex]
What is straight line?A straight line is just a straight line with no bends. A straight line is one that has no bends and continues to infinity on both sides.
A straight line's equation is y=mx+c, where m is the gradient and c is the height at which the line crosses the y axis, commonly known as the y -intercept.
The drawn line cut the x-axis at (3,0) and y-axis at (0,-6)
So, the equation of line is:
[tex]\frac{x}{3} + \frac{y}{-6} = 1[/tex]
or, [tex]\frac{x}{3} - \frac{y}{6} = 1[/tex]
or, [tex]\frac{2x-y}{6} = 1[/tex]
or, [tex]2x-y =6[/tex]
or, [tex]y = 2x-6[/tex]
Thus, slope-intercept form is: [tex]y = 2x-6[/tex]
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