The possible combination of cereal and milk the shopper can buy and still stay in their budget is:
12 ≤ 2.99x + 4.99y ≤ 25 (x , y ∈ N)
Inequality:The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
"Information available from the question"
A store sells cereal for $2.99 and milk for $4.99.
A shopper wants to spend at least $12 but no more than $25 on groceries.
To find the possible combination of cereal and milk the shopper can buy and still stay in their budget.
Now, According to the question:
Let x represents the shopper buy and y represent the milk.
Then represents the inequality according to the information.
A store sells cereal for $2.99
It write 2.99x
And for the milk is 4.99y
So,
12 ≤ 2.99x + 4.99y ≤ 25 (x , y ∈ N)
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A wheel of cheese has a radius of 7 inches and a height of 3 inches. What is the approximate surface area of this wheel of cheese? Use 3.14 for pi.
A wheel of cheese has a radius of 7 inches and a height of 3 inches
The approximate surface area of this wheel of cheese is 458.4 square inches.
To get the surface area of a cylinder, we have to calculate the area of the lateral surface and add the areas of the two circular end faces.
The lateral surface area of a cylinder is calculated as 2 * pi * r * h, where r is the radius and h is the height.
So the lateral surface area in this scenario would be: 2 * 3.14 * 7 * 3 = 150.52 square inches.
The area of the two end faces must then be calculated. we know, Pi * r^2, where r is the radius, gives the area of a circle.
So the area of each end face in this situation would be 3.14 * 7^2 = 153.94 square inches.
Total surface area= lateral surface area + end face area
=150.52 + 153.94 + 153.94 = 458.4 square inches (approximately)
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jokes are listed in a magazine, where one is written by a female author. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if a joke by a man is told first?
Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
For problems 12-15 find the unknown factor.
. 3/4 x ? =9/16
2/5 x ? =8/15
5/7 x ? = 5/9
what is the probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives.
The probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives is 0.0403 or approximately 4%.
The probability of having no defectives in a sample of size 3 from a lot of 24 items with 5 known defectives can be calculated using the binomial probability formula. The formula is given by:
P(X=k) = (n choose k) * p^k * (1-p) ^(n-k)
where:
n = sample size (3)
k = number of successful trials (0)
p = probability of success (probability of an item being non-defective)
Since there are 24 items in the lot and 5 of them are known to be defective, the probability of success (p) is equal to 19/24.
Plugging in the values, we get:
P(X=0) = (3 choose 0) * (19/24) ^0 * (5/24) ^3
= 1 * 1 * (5/24) ^3
= (5/24) ^3
= 0.0403
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find the area of the shaded regions give your answers as a correctly simplified answer value in terms of pie
The area of the shaded region is 84.82 cm².
What is the area of the shaded region?
The area of the shaded region is calculated by subtracting the area of the sector from the area of the entire circle.
Since the angle of the sector is 90 degrees, we can conclude that the entire circle is divided into four.
Area of the shaded region = πr² - 1/4(πr²) = 3/4πr²
where;
r is the radius of the circleThe area of the shaded region is calculated as;
A = 3/4πr²
A = 3/4 x π ( 6 cm )²
A = 84.82 cm²
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The diagonals of quadrilateral ABCD intersect at point K. Is each of the following needed to prove that ABCD is a parallelogram?
Answer:
BK=AK: no
BK=DK:yes
CK=AK:yes
CK=DK:no
Step-by-step explanation:
for the first and last, it is not needed because a rectangle is a parallelogram, for example, but its diagonals are not congruent. The diagonals intersect each other at both of their midpoints, on the other hand, so therefore the second and third must be true. Does this make sense?
Consider the function g(x)=−(x−3)^3−2.
Which ordered pair lies on the inverse of the function?
The ordered pair that lies on the inverse of the function is (25, 0)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=−(x−3)^3−2.
Set x = 0
So, we have the following representation
g(0) =−(0−3)^3−2.
Evaluate the expression
This gives
g(0) = 25.
So, the ordered pair of teh inverse is (25, 0)
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Answer: -3,4
Step-by-step explanation:
i need help solving the first problem
Answer:
f(x), g(x)10, 0, UNDEFINEDStep-by-step explanation:
You want to know which functions have 5 in their domain, and what the function value is at x=5.
f(x) = x² -3xg(x) = (x -5)/xh(x) = √(x -10)ValuesIt is more convenient to do the second part first, as that tells you the answer to the first part:
f(5) = 5² -3·5 = 25 -15 = 10 . . . . 5 is in the domain
g(5) = (5 -5)/5 = 0/5 = 0 . . . . 5 is in the domain
h(5) = √(5 -10) = √(-5) . . . . UNDEFINED; 5 is not in the domain
I need help with a problem
Answer:
x= 19
Step-by-step explanation:
6x+4+4x-14= 180
10x-10= 180
10x= 190
x= 19
Pink paint is made by mixing white paint and red paint in the ratio 5 : 3. 32 litres of pink paint are made. How much white paints are used?
Answer:
20 liters of white paint, 12 liters of red paint
Step-by-step explanation:
Let w = liters of red paint and r = liters of red paint
[tex] \frac{w}{r} = \frac{5}{3} [/tex]
[tex]w = \frac{5}{3} r[/tex]
[tex]w + r = 32[/tex]
[tex] \frac{5}{3} r + r = 32[/tex]
[tex] \frac{8}{3} r = 32[/tex]
[tex]r = 12[/tex]
[tex]w = 20[/tex]
0,4277 rounded to 2 decimal places?
Answer:
0.43
Step-by-step explanation:
Rounding to 2 decimal places means keeping only 2 digits after the decimal point and adjusting the third digit, based on the rules of rounding. In this case, the number 0.4277 would be rounded to 0.43. This is because the third digit after the decimal point (7) is 5 or greater, so we round up the second digit (2) to 3. This gives us the rounded number 0.43, which has only 2 decimal places.
Math in the Real World Terrell plotted points on the coordinate plane as shown. He noticed that the points lie on a straight line. Write an equation that shows the relationship between the x- and y-coordinate of each point Terrell plotted. Then use the equation to find the y-coordinate of a point on the line with an x-coordinate of 20. YA 10 8 6 2 (5.2) (9,6) (8,5) (3, 0) 0 2 4 6 8 10 x
POINTS:50 (EMERGENCY!)
A rocket is launched in the air. Its height in feet is given by h(t)= -16t^2+88t where t represents the time in seconds after launch. How long is the rocket in the air?
Answer: ___ seconds
A rocket is launched with height function h(t)= -16t²+88t for time 't' in seconds the rocket is in the air for the time t = 5.5 seconds.
A rocket launched with height function :
h(t)= -16t²+88t
't' represents the time in seconds
'h' is the height of rocket.
Time for which rocket is in the air given by :
When h(t) = 0
Substitute the value we get,
⇒ -16t²+88t = 0
⇒ -16t ( t - 5.5 ) = 0
⇒ -16 ≠ 0 or t ≠ 0 or ( t - 5.5 ) = 0
Time can never be zero.
hence,
( t - 5.5 ) = 0
⇒ t = 5.5 seconds
Therefore, the time of the rocket when it is in the air is equal to 5.5 seconds.
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What is 1/3 times (-8)?
Answer:
Step-by-step explanation:
-2.67
Un numero es el quintuple de otro y la suma de los dos es 192
al cuales son esos dos números?
Los dos números dados en el conjunto de preguntas anterior son 32 y 160. Para resolver este problema, se puede establecer una ecuación con variables.
Sea x el número más pequeño, entonces el número más grande sería 5x. La suma de ambos es 192, por lo que
x + 5x = 192.Al resolver esta ecuación simple, se obtiene que x = 32, y por lo tanto, 5x = 160. Estos son los dos números que cumplen con los requisitos dados en la pregunta.
En matemáticas, la sumatoria es la suma de una secuencia de cualquier tipo de números, llamados sumandos o sumandos; el resultado es su suma o total.
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solid shapes are regular when all the faces are eaqual which 3d shapes is regular?
a) cylinder
b) cube
c) cuboid
A regular solid shape is defined as a three-dimensional object that has all its faces congruent and all its vertices congruent. In other words, all faces have the same shape and size and all vertices have the same angle measures.
Among the options provided, only the cube is a regular solid shape. A cube is a three-dimensional object that has six equal square faces. Each face is a square and each vertex has the same angle measure. The edges of a cube are congruent and the shape is highly symmetrical.
The cylinder is not a regular solid shape because it has two congruent circular faces and one curved surface, which is not congruent to the other two faces. The vertices of a cylinder also have different angle measures.
The cuboid is not a regular solid shape because it has six rectangular faces, and the shape is not highly symmetrical. The vertices of a cuboid also have different angle measures.
In conclusion, a regular solid shape must have congruent faces and congruent vertices, and only a cube satisfies these conditions. It is important to note that not all regular shapes are regular solid shapes, for example, a sphere is a regular shape, but it is not a regular solid shape because it has no faces, vertices or edges.
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Please help me find the value of x!
Answer:
90
Step-by-step explanation:
45+45=90
need help schoology
.
Answer:
a = 68°
Step-by-step explanation:
a and 112° are a linear pair and sum to 180° , that is
a + 112° = 180° ( subtract 112° from both sides )
a = 68°
math help help pleasee
Answer:
I belive the answer is "5x+35"?
Answer:
x=29
Step-by-step explanation:
3x+15+2x+20=180; 3x+2x=145; 5x=145; x=29
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A cedar canoe has a mass of 40 kilograms and a density of 400 kilograms per cubic meter. Calculate its volume.
The volume of the cedar canoe with a mass of 40 kilograms and a density of 400 kilograms per cubic meter is 0.1 cubic meters.
What is the volume of the cedar canoe?Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that;
Mass of the canoe m = 40kgDensity p = 400 kg/m³Volume v = ?To determine the volume, plug the given values into the above formula and solve for v.
p = m / v
v = m / p
v = 40kg / 400 kg/m³
v = 40kgm³ / 400 kg
v = 40m³ / 400
v = 0.1 m³
Therefore, the volume is 0.1 cubic meters.
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Find the volume of a sphere with a surface
area of 2,123.72 square meters
Answer:
9202.77m³Step-by-step explanation:
Let's get the volume of the sphere by finding the radius using the surface area given Surface area of a sphere = 4πr²[tex]2123.72 = 4 \times 3.14 \times {r}^{2} [/tex]
[tex]2123.72 = 12.57 {r}^{2} [/tex]
[tex] \frac{12.57 {r}^{2} }{12.57} = \frac{2123.72}{12.57} [/tex]
[tex] {r}^{2} = 168.95[/tex]
[tex]r = 13.0[/tex]
Volume of a sphere[tex] \frac{4}{3}\pi {r}^{3} [/tex]
[tex] \frac{4}{3} \times 3.14 \times {13}^{3} = 9202.77 {m}^{3} [/tex]
A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked. ]
B. In your list from A, which are favorable outcomes of the following event: choosing an odd number? you have to write it down.
The answer is A)The list of favorable outcomes are 1) 1-1, 1-2 ; 2) 2-1, 2-2 ; 3) 3-1, 3-2 ; 4) 4-1, 4-2 ; 5) 5-1, 5-2 ; B) There's 50% chance of probability of being odd.
A) If the sample space of tossing a coin and picking a number between 1 and 5, inclusive then there are 5 set of probabilities as an outcome:
1) 1-1, 1-2 ;
2) 2-1, 2-2 ;
3) 3-1, 3-2 ;
4) 4-1, 4-2 ;
5) 5-1, 5-2
B) And in the case of getting odd numbers as an probability outcome, there are 50% chance of it being odd.
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Question's attached below.
Ty! :)
Answer:
$14087.49
Step-by-step explanation:
APR=8%,
monthly interest rate (r)=8%/12=0.08/12
Monthly payment, A=$250
After 4 years, n=4*12 = 48 months,
the balance P is therefore
P= A((1+r)^n-1)/i
=250((1+0.08/12)^48-1)/(0.08/12)
=14087.49
what is the probability of obserbing another sample proportion from this population that is between 0.45 and 0.70
reduce fraction 2x+nx-2y-ny/7x-7y and give boundaries
Answer:2+n/7
Step-by-step explanation:
Simplify the expression
a sandwich shop purchases a used pizza oven for $955. after 5 years, the oven will have to be discarded and replaced. write a linear equation giving the value v of the equipment during the 5 years it will be in use. (use t to represent the year.)
A linear equation giving the value v of the equipment during the 5 years it will be in use is v = 955 - 191t
A linear equation models a linear relationship between two variables, where the rate of change between the two variables is constant. In this case, we can model the value of the equipment as it depreciates over time using a linear equation.
Since the value of the equipment decreases linearly over time, we can write an equation in the form:
v = a - bt
where v is the value of the equipment in year t, a is the initial value of the equipment, and b is the constant rate of depreciation.
Since the initial value of the equipment is $955, we can set a equal to 955. To find the constant rate of depreciation, we need to find the change in value over the 5 years it will be in use and divide by the number of years. Assuming after 5 years the value is 0,
constant rate of depreciation = 955/ 5
= 191
So, with a = 955 and b = $191 per year, the linear equation that models the value of the equipment over time is:
v = 955 - 191t
This equation gives the value of the equipment in year t based on the initial value and the constant rate of depreciation.
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The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below. Degree Male (in thousands) Female (in thousands) Marginal Totals (in thousands) Associate 298 489 787 Bachelor 685 916 1,601 Master 260 397 657 Professional 47 45 92 Doctorate 32 35 67 Marginal Totals (in thousands) 1,322 1,882 3,204 About how many students were awarded a bachelor’s degree in 2009? A. 916,000 B. 685,000 C. 1,601,000 D. 1,322,000
1601000 students were awarded a bachelor’s degree in 2009.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
First, notice that the table is in thousands, remember that.
Now, we need to go to the part of the row of the table where we have "Bachelor".
There we can see that in 2009, a marginal total of 1,601 thousands got that degree.
Then we can conclude that in 2009, a total of:
1,601×100 = 1,601,000 students got a bachelor's degree.
Hence, 1601000 students were awarded a bachelor’s degree in 2009.
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Answer:
C. 1,601,000
Step-by-step explanation:
This is the correct answer.
WILL GIVE BRAINILEST HELP ASAP
Answer: B,C,D
Step-by-step explanation:
Since the only requirement is that the width needs to be at least 50 yds. B, C,D all work.
Help me in the second question please
The equation representing the hanger is 3x - 2y = 0 and when x = 6, y = 9
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the weight of the square is y
And, the weight of the triangle is x
Now, the equation according to the diagram is;
x + 3y = 4x + y
4x - x + 3y - y = 0
3x - 2y = 0
Now, when, x = 6
So, y =
3x - 2y = 0
3x = 2y
3(6) = 2y
18 = 2y
y = 9
Hence, the equation representing the hanger is 3x - 2y = 0 and when x = 6, y = 9
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10+10-2 a aa aa a aanswe pls
Answer:18
Step-by-step explanation:
Answer:18
Step-by-step explanation: