16. The graph shows the relationship between the total cost and the amount of rice purchased 32 20 Total price ($) Amount of rice (lb) Part A: What does the ordered pair (6, 30) represent? Part B: Which point on the graph represents the unit price? Part C: How many pounds would you have to buy for the total cost to be $20? Explain how to find the answer
For the information given in the statement you have:
Part A: According to the graph, the point (6,30) means that the total cost of 6 pounds of rice is $30.
Part B: The unit price per pound of rice can be seen in the graph at point (1,4), that is, the price of 1 pound of rice is $ 4.
Part C: To find out how many pounds you would have to buy for the total cost to be $ 20 you have to find the point whose second coordinate is 20, that is, point (4,20), then you would have to buy 4 pounds of rice for the total cost to be $20.
help me PLEASEEEEEEEEEEEEE
The correct answer is 2.5 cm
Explanation:
In any polygon, the area refers to the total space occupied by the polygon. In the case of triangles, the area can be calculated by multiplying the base and height and then dividing the by 2. This means b x h / 2 = area of a triangle. According to this, the area of the triangle presented is 15
5 cm (base) x 6 cm (height) = 30 cm
30 cm / 2 = 15 cm (total area)
This also means the area of the rectangle is 15 considering both figures have the same area. Additionally, the area in rectangles is calculated by multiplying the length base by the width. This implies in the case presented 6 cm x w cm = 15 cm (total area), and you can determine the value of w by using a simple equation as
6 x w = 15
w = 15 / 6
w = 2.5
Also, you can know this is the correct value because 6 cm (length) x 2.5 (width) = 15 cm which is the correct area
A customer bought ten 1-liter containers of grape juice. How many milliliters of juice did she buy?
If a customer bought ten 1-liter containers of grape juice, the milliliters of juice she bought is 10,000 milliliters, using multiplication.
What is multiplication?Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.
Multiplication operation is widely used in unit conversions, just like division operation.
1 liter = 1,000 milliliters
10 1-liter containers = 10,000 milliliters (1,000 x 10)
Thus, the customer bought 10,000 milliliters of grape juice or ten 1-liter containers, based on multiplication operation in unit conversion.
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please. Will give brainliest
Answer:
The answer is c
scince I am not student so I don't use book n pen sorry
The figure below is a right rectangular prism with
rectangle ABCD as its base.
What is the area of the base of the rectangular prism? 2, 9, 18 sq centimeters
What is the height of the rectangular prism? 2, 6, 9 centimeters
What is the volume of the rectangular prism? 17, 54, 108 cubic centimeter
Area of rectangular base is 18 square centimeters.
The height (given) is 6 centimeters.
The volume of the rectangular prism is 108 cubic centimeters.
For the area of the base, multiply the length of AD times length of CD
9cm × 2cm = 18cm² remember that is square unit measure:
cm² means square centimeters.
The height is the distance between the two bases. Given as AW = 6
To get Volume, multiply the area of one base by the height
18cm² × 6cm = 108cm³
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Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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The median weekly income for a student who drops out of high school is 451. Someone with a bachelor's degree from college earns 1053 in that same week. Calculate each person's yearly income and then the difference between them.
The difference between their yearly incomes is $31,304.
To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:
For the student who drops out of high school:
Yearly Income = Weekly Income x Number of Weeks
= 451 x 52
= 23,452
For someone with a bachelor's degree:
Yearly Income = Weekly Income x Number of Weeks
= 1053 x 52
= 54,756
The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:
Difference = Bachelor's Yearly Income - Student's Yearly Income
= 54,756 - 23,452
= 31,304
Therefore, the difference between their yearly incomes is $31,304.
It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.
Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.
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m_ZBC =2x+8, m_ABC=21x-5,
and m ABZ=139° Find m ABC.
to
z
B
Answer:
163°
Step-by-step explanation:
Assuming that BZ is a ray inside angle ABC:
2x+8+139=21x-5
8+139+5=21x-2x
152=19x
8=x
m<ABC=21x-5=
21(8)-5=
168-5=
163
Two friends share 3/4 of a granola bar equally. What fraction of the granola bar will each person get?
Answer:
3/2
Step-by-step explanation:
3/4 ×2
3/2
so the answer is 3/2. so you say 3/4×2 cause it is shared by two people
You determine the percent abundance of
each length of nail and record it in the data
table below.
Sample
Type
Short nail
Medium nail
Long nail
Number Abundance
of Nails
(%)
67
18
10
70.5
19.0
10.5
Nail Length
(cm)
2.5
5.0
7.5
What is the weighted average length, in cm,
of a nail from the carpenter's box?
Weighted Ave Length
Enter
The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.
What is weighted average ?
Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.
To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.
Let's start by calculating the product of each nail length and its percent abundance:
Short nail: (2.5 cm) x (70.5%) = 1.7625 cm
Medium nail: (5.0 cm) x (19%) = 0.95 cm
Long nail: (7.5 cm) x (10.5%) = 0.7875 cm
Now, we add up all the products:
1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm
Finally, we divide by the total percent abundance:
70.5% + 19.0% + 10.5% = 100%
Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm
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Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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Write this ratio as a fraction in simplest form without any units. 6weeks to 48 days
Answer:
1/8
Step-by-step explanation:
RatioA contrast, which exists between two particular numbers, is defined as ratio.6 weeks to 48 days6 : 48Equivalent Ratios1 : 82 : 163 : 244 : 325 : 406 : 487 : 568 : 649 : 7210 : 8011 : 8812 : 9613 : 10414 : 11215 : 12016 : 12817 : 13618 : 14419 : 15220 : 16021 : 16822 : 17623 : 18424 : 19225 : 20026 : 20827 : 21628 : 22429 : 23230 : 24031 : 24832 : 25633 : 26434 : 27235 : 28036 : 28837 : 29638 : 30439 : 31240 : 32041 : 32842 : 33643 : 34444 : 35245 : 36046 : 36847 : 37648 : 38449 : 39250 : 40051 : 40852 : 41653 : 42454 : 43255 : 44056 : 44857 : 45658 : 46459 : 47260 : 48061 : 48862 : 49663 : 50464 : 51265 : 52066 : 52867 : 53668 : 54469 : 55270 : 56071 : 56872 : 57673 : 58474 : 59275 : 60076 : 60877 : 61678 : 62479 : 63280 : 64081 : 64882 : 65683 : 66484 : 67285 : 68086 : 68887 : 69688 : 70489 : 71290 : 72091 : 72892 : 73693 : 74494 : 75295 : 76096 : 76897 : 77698 : 78499 : 792100 : 800Convert to fraction
6:48 is 6/48 as a fraction. Now simplify.
1. Find the GCD (or HCF) of numerator and denominator
GCD of 6 and 48 is 6
Divide both the numerator and denominator by the GCD
6 ÷ 6/
48 ÷ 6
Reduced fraction:
1/8
Therefore, 6/48 simplified to lowest terms is 1/8.
76.38 to the nearest integer
Answer: 76
Step-by-step explanation:
a)231*12 531*23 505*11 402*44 b) 516*25 893*72 860*91 c) 413*25 120*518 119*98 7*00*125 d) 7800*8600 980*37000 1860*890 5800*4700. * = razy
What is the solution to the equation squareroot 4t+5=3
Answer:
Step-by-step explanation:
√(4t+5) = 3
4t + 5 = 9
4t = 4
t = 1
Answer:
Step-by-step explanation:
Remark
This is a bit ambiguous. I'm going to take it to mean
√(4t + 5) = 3
Solution
√(4t + 5) = 3 Square both sides.
(√(4t + 5) )^2 = 3 ^2 If you square something and a √ is involved, sometimes squaring something will get rid of the√ sign. That's what happens here.
4t + 5 = 9 Subtract 5 from both sides.
4t + 5 - 5 = 9-5 Combine
4t = 4 Divide by 4
4t/4 = 4/4
t = 1
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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A box contains 20 black and 30 green balls. One ball is drawn at random, its colour noted and the ball is then replaced in the box for the next draw. The process continues. a) find the probability that first green ball is drawn at the 4 th draw. b) find the probability that the sequence of draws has the third green ball in the sixth draw
Answer:
a)
Step-by-step explanation:
a) The probability of drawing a green ball on any given draw is 30/50 (since there are 30 green balls out of a total of 50 balls). Since the ball is replace....
I’ll give braniest to the best answer
Twoskaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows
the path y = - 3x + 60, while the other skater follows the curve y = - 3x^2+ 24x. Find all the points where they might collide if they
are not careful.
Answer:
They will collide at (2,28),(8,16)
Step-by-step explanation:
give me branliest
Please I need an answer
Answer:
D. No x-intercept, y-intercept 9
Step-by-step explanation:
The line intercepts at (0, 9)
During Fitness Day at school, Destiny and her classmates took part in a pull-up competition, keeping track of the results. Number of pull-ups Number of people 8 2 18 1 40 2 54 2 60 1 93 2 X is the number of pull-ups that a randomly chosen person did. What is the expected value of X? Write your answer as a decimal.
Answer:
46.8 pull-ups
Explanation:
To calculate the expected value, we first will multiply each number of pull-ups by its respective number of people, so:
Pull-ups People Pull-ups x People
8 2 8 x 2 = 16
18 1 18 x 1 = 18
40 2 40 x 2 = 80
54 2 54 x 2 = 108
60 1 60 x 1 = 60
93 2 93 x 2 = 186
Now, we need to sum all the results:
16 + 18 + 80 + 108 + 60 + 186 = 468
Finally, to know the expected value, divide this number by the total number of people:
\(\frac{468}{2+1+2+2+1+2}=\frac{468}{10}=46.8\)Therefore, the expected value is 46.8 pull-ups
The radius of a circle measures 12 centimeters what is the area
Answer:
\(144\pi\)
Step-by-step explanation:
\(\pi(r^{2} )\)
\(\pi(12^{2} )\)
\(144\pi\)
solve the following question
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².
Firstly, we will calculate the area of the square of paper in which the holes are punched.
Side of square = 12 cm
Area of square = side²
= (12) ²
= 144 cm²
Now, we will calculate the area of the bigger punch holes
Radius of big punch hole = 3 cm
Area of 1 big punch = π (radius) ²
= 22/7 × (3)²
22 / 7 × 9
= 198 / 7 cm²
Area of 4 punches = 4 × 198/7
= 792/7 cm²
Now, we will calculate the area of smaller punch whose radius is 1cm
Area = 22/7 × 1²
= 22/7 cm²
Now, we will calculate the total area covered by circles
Total area covered by circles = area of small punch + area of 4 big punch
= 22/7 + 792/7
= 814 /7 cm²
Remaining area = area of square - area of circles
= 144 - 814/7
= (1008 - 814) / 7
= 194 / 7
= 27.714 cm²
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Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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help!! Find the missing length and found it to the nearest tenth.
The missing length the right triangle to the nearest tenth is 8.8 units.
What is the missing length?The figure in the image is a right traingle.
Measure of first leg = 2Hypotenuse = 9Measure of second leg = ?To solve for the second leg of the right triangle given the first leg and hypotenuse, we can use the Pythagorean theorem.
It states that the sum of the squares of the two legs is equal to the square of the hypotenuse.
a² + b² = c²
Let's denote the second leg by 'b'. Then we have:
2² + b² = 9³
Simplifying the equation:
4 + b² = 81
Subtracting 4 from both sides:
4 - 4 + b² = 81 - 4
b² = 77
Taking the square root of both sides:
b = √77
b = 8.8 units
Therefore, the second leg of the right triangle is 8.8 unit.
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I've answered this problem but it tells me different would you help me with the answer Please, 5-5×5+5
Answer:
-15
Step-by-step explanation:
5x5 = 15
5-15+5= -15
what is the slope of line that passes through points (-2,7) and (-3,3)
Considering the expression of a line, the slope of line that passes through points (-2,7) and (-3,3) is 4.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are the variables.m is the slope.b is the ordinate to the origin and represents the y-intercept of the line.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope in this caseIn this case, being (x₁, y₁)= (-2, 7) and (x₂, y₂)= (-3, 3), the slope can be calculated as:
m= (3 -7)÷ (-3 -(-2))
m= (3 -7)÷ (-3 +2)
m= (-4)÷ (-1)
m= 4
Finally, the slope is 4.
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5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
Which sequence shows the numbers in order from least to greatest?
Answer:
A. is the answer did you need an explanation