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Explanation:
The mixed number 4 & 1/2 converts to the decimal form 4.5
The unit price is 27/(4.5) = 6 dollars per kilogram
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If you wanted, you can think of it like this ratio
4.5 kg : 27 dollars
Dividing both parts of that ratio by 4.5 will lead to
1 kg : 6 dollars
translate the sentence into an inequality.
The product of w and 8 is greater than or equal to -16.
The inequality would be 8w≥-16
Answer:
8w ≥ -16
It's pretty simple.
Product means it has something to do with multiplication.
≥ This is the greater than or equal to sign.
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters. Two two-centimeter holes are drilled in the plate, positioned as shown in the figure. Find the coordinates of the center of each hole.
top hole
x = 38 cos 60
y = 38 sin 60
bottom hole
x = 38 cos 30
y = 38 sin 30
The coordinate of holes is (43.3, 25) and (25, 43.3).
CircleIt is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.
Two 2 centimeter holes are drilled in the plate.
To findTwo 2 centimeter holes are drilled in the plate, positioned.
How to find the position of holes?Holes are at 50 cm from the center at an angle of 30 and 60 degrees.
So the coordinate will be given by
[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]
Then for the first hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]
For the second hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]
Thus the coordinate of holes is (43.3, 25) and (25, 43.3).
More about the circle link is given below.
https://brainly.com/question/11833983
Please solve with explanation
Answer:
Hope it helps you.......
Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.
An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.
Answer:
the second and last sentences.
Step-by-step explanation:
Its the most reasonable!
Answer:
It is accutally 1st 2nd and 3rd plz trust me
Step-by-step explanation:
it is the corect
solve please ;3 ( will give brainliest ♡ )
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answer:
C is the inequality
Hope it's help :D
Step-by-step explanation:
For question
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Find an equivalent system of equations for the following system:
2x + 4y = 4
−5x + 5y = 5
A. 2x + 4y = 4
−3x + y = −1
B. 2x + 4y = 4
7x + 5y = −1
C. 2x + 4y = 4
7x − y = 5
D. 2x + 4y = 4
7x − y = −1
what is the lcm of 9 and 12
Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.
9: 9, 18, 27, 36, 45, 54, 63, 72, 81...
12: 12, 24, 36, 48, 60, 72, 84...
Do you see what I see? The LCM is 36. Hope this helps!
~Just an emotional teen who listens to her favorite songs
[tex]SilentNature[/tex]
Christopher buys 3 pizzas for £13.56. If all of the pizzas are the same price, how much does one pizza cost? Give your answer in pounds (£).
Answer:
£4.52
Step-by-step explanation:
£13.56/3
what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)?
Answer:
X = 2
Step-by-step explanation:
Lee has 14 strawberry scones and 21 Raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of Strawberry scones and an equal number of Raspberry scones. What is the greatest number of bags Lee can fill? Explain how you know.
Answer:
SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D
May I please receive help?
Please
Answer:
A) F=25°
B) AB=12
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).
Name the transformation that maps line segment RS to line segment R''S''.
Answer:
rotation 180° (ccw) over point (0.5 , 0.5)
Step-by-step explanation:
R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)
check: rotation over (0.5,0.5) 180°
x'' = - (x - x₀) + x₀ .. x: original x coordinate, x₀ : center of rotation
y" = - (y - y₀) + y₀
for R" : x" = - (-2 - 0.5) + 0.5 = 3
y" = -(4 - 0.5) + 0.5 = -3
You can verify the coordinates of S" by the above formula.
** (0.5,0.5) is the intersect of RR" and SS"
PLZ HELP What is the area of the polygon?
The answer is 42 meters squared
work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
Answer:
x = 3.08
Step-by-step explanation:
Area formula:
A = 1/2bhThe height is:
h = (x + 2)sin 45° = (x + 2) ×√2/2Substitute the value for area and set equation:
4√2 = 1/2 × (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)Note the second root ignored as negative
Answer:
x = 3.08 (3 s.f.)
Step-by-step explanation:
Area of a Triangle (using sine)
[tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]
where:
a and c are adjacent sidesB is the included angleGiven:
Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°Substitute the given values into the formula:
[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]
[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]
[tex]\implies (2x-3)(x+2) =16[/tex]
[tex]\implies 2x^2+4x-3x-6=16[/tex]
[tex]\implies 2x^2+x-22=0[/tex]
Use the Quadratic Formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]
[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]
As distance is positive:
[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]
Given the function h(x) = x2 – 7x + 6, determine the average rate of change of
the function over the interval 3 x < 7.
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(h(7) - (h(3)) / (7 - 3)
h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6
h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6
7 - 3 = 4
(6 - -6)/4 = 12/4 = 3
the average change rate in that interval is 3 (or fully 3/1).
help me pleaseeeeeeeee
Answer:
Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence
Thank me Later :D
Step-by-step explanation:
SCALENE
EQUILATERAL
ISOSCELES
Answer:
Isosceles triangle
Step-by-step explanation:
An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.
Answer:
isosceles triangle
Step-by-step explanation:
From the picture, we know that two sides are equal.
If two sides are equal, then it is an isosceles triangle
Complete the conjecture based on the pattern you observe in the examples below:
Conjecture: The sum of any two odd numbers is ___
1 + 1 = 2 9 + 11 = 20
1 + 5 = 6 13 + 21 = 34
7 + 9 = 16 101 + 103 = 204
Conjecture: The product of any two numbers is ___
1 . 1 = 1 9 . 11 = 99
1 . 3 = 3 13 . 11 = 143
3 . 7 = 21 101 . 103 = 10,403
Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___
3 . 5 = 4² - 1 7 . 9 = 8² - 1
4 . 6 = 5² - 1 6 . 8 = 7² - 1
5 . 7 = 6² - 1 8 . 10 = 9² - 1
Step-by-step explanation:
the writing and spacing of the problem description is difficult to understand.
but there is no mystery. look at the examples.
all of them
3×5 = 15 = 16 - 1 = 4² - 1
4×6 = 24 = 25 - 1 = 5² - 1
5×7 = 35 = 36 - 1 = 6² - 1
6×8 = 48 = 49 - 1 = 7² - 1
7×9 = 63 = 64 - 1 = 8² - 1
8×10 = 80 = 81 - 1 = 9² - 1
so, what does this look like ?
(x-1)×(x+1) is always equal to (x² - 1)
alguien me ayuda????
What do you need help with?
Gary had a 40% discount for car speakers. The sale price of the speakers was $96.25. What was the original price of the speakers? Round to the nearest cent.
Answer:
Step-by-step explanation:
If the price after the discount is subtracted is $96.25 then this is what you do
u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75
but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25
SOMEONE PLEASE HELP ME i really need this one
Answer:
Wait are u trying to find the area of a shape???
Step-by-step explanation:
please help I dont understand
Answer:
I dont know The answer sorry
Step-by-step explanation:
Answer: 2
Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Solve for x.
2x/3 +1=3
O x =6
O x =3
O x = 1 1/3
O x = 2 2/3
Answer:
3......................
Answer:
X=3!
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 1 from both sides.
Step 3: Multiply both sides by 3/2.
Answer:
x=3
What is the value of the expression3+3⋅72−9⋅103+3⋅72−9⋅10 ?
-7.763 will be the total to the answer.
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm
Lemme know, take ur timeee
Answer:
A. 10 cm
Step-by-step explanation:
In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.
Hope this helps!
1. Josiah's checking account was at $104,24 on Monday. One of his checks was cashed on Tuesday and his
account went down to - $23.99. What was the value of the check that was cashed? Show all work
necessary to justify your answer.
Step-by-step explanation:
mondey balance 104.24$
Tuesday balancs -23.99$
value = 104.24+23.99=128.23$
PLEASE HELP!!
4) (2.03)
What is the equation of the line in
slope-intercept form?
What is the equation of the line in
function notation?
Answer:
y = (1/2)x - 2
Step-by-step explanation:
(0,-2)
(4,0)
2/4 x - 2
A home loan of £240 000 was paid off at £1 675
per month for 20 years. How much interest was
paid?
HELP PLEASE
Answer:
uyyyyy
Step-by-step explanation:
Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?
m = 72 – 15d
m = 90 – 6d
m = 101 – 21d
m = 108 – 3d
Answer:
m = -90 - 6d
Step-by-step explanation:
18 ÷ 3 = 6 { She needs to memorize six measures a day. }
m = 90 - 6d { She has memorized bd measures }