An equal number of pieces of candy were given to children on Halloween. 30 pieces of candy were given out to boys. 48 pieces of candy were given out to girls. What is the greatest number of pieces of candy given to each child?

Answer:

C. Rain Droplets

Step-by-step explanation:

The maximum value of the objective function is 50

We can find the value of the objective function, z, by plugging in the x and y values for each corner point into the equation z = x + 4y:

using the above as a guide, we have the following:

A: (1,1) -> z = 1 + 4 * 1 = 5

B: (3,8) -> z = 3 + 4 * 8 = 35

C: (6,11) -> z = 6 + 4 * 11 = 50

D: (7,4) -> z = 7 + 4 * 4 = 23

The maximum value of the objective function is 50, which occurs at corner point C: (6,11).

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The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

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Answer:  x = -3/2

Step-by-step explanation:

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

The percent of increase is 25%

Step-by-step explanation:

Percentage increase = increase in price/original price × 100 = ($250 - $200)/$200 × 100 = $50/$200 × 100 = 25%

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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The representations of the inequality is  an open circle is at 1 and a bold line starts at 1 and is pointing to the right.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Since our answer is x > 1.  An open circle will be at 1 and a bold line starts at 1 and is pointing to the right (>). Check the attached image.

Note: You only shade up if you have ≤ (less than or equal) or ≥ (greater than or equal).

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The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

2 feet

Step-by-step explanation:

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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t is -1

g ( t ) = 6t-1

g (-1) = 6(-1)-1

= -6-1 = -7

This is due to the fact that the anticipated value is determined by multiplying the likelihood of each potential occurrence by its value, then adding the results.

Probability is a metric for determining the possibility of an event happening in mathematics and statistics. It is a number between 0 and 1, where 0 denotes that the action is impossible and 1 denotes that it is guaranteed to occur. Usually, the likelihood of a particular occurrence is calculated through dividing the number of possible outcomes by the number of alternative ways the event could happen. As an illustration, the likelihood of rolling a six on a regular die is 1/6 since there is just one method for scoring a six and a total of six options. Many practical applications of probability can be found in the fields of insurance, banking, and gaming. Also, it aids in risk management and assessment throughout scientific research and decision-making processes.

given

The assertion "I discovered that there should be 2.5 more boys in a household of five than was anticipated. A family of 2.5 boys cannot exist, thus I must have made a mistake "contradicts itself.

A family cannot have 2.5 males just because the number of boys in a household of five is supposed to be 2.5. Instead, it suggests that a family with five children may typically anticipate to have 2.5 boys.

This is due to the fact that the anticipated value is determined by multiplying the likelihood of each potential occurrence by its value, then adding the results.

It is indeed impossible to have 2.5 males in a family of five.

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Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times

Step-by-step explanation:

The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.

The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.

hence, option B is correct

Answer: The scale on the y-axis overemphasizes the difference in salaries between different experience levels.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

f(x) = m*x + b

x = 0

5 =m*0 + b

b = 5

2)

2 = m*2 + 5

2*m = - 3

m = - 3/2

3)

f(x) = - 3/2*x + 5

Answer:

1460

Step-by-step explanation:

rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡

Answer:

1460

Step-by-step explanation:

Original number is 1 4 5 6

To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it

The digit in the tens place is 5

If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0

So 5 rounds up to 6

The 6 to the immediate right(units place becomes 0)

1 4 5 6 rounded to nearest ten==> 1 4 6 0

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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69 Pages are left to read by Tim.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total pages= 230

Percentage of reading = 70%

So, number of Pages Tim reads

= 70 /100 x 230

= 161 pages

Hence, number of pages left = 230- 161 = 69 pages

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A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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They have to carry 15.5 kg.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Piloncillo   14 kg

Tejocote    1½ kg-

Apple         2¾ kg

oldestq         3

Guava         0.75 kg

Plum            1.75 kg

Cane           2.40 kg

Cinnamon      ½ kg

So, if they take piloncillo and the tejocote

they carry,

=14 + 1 1/2

=14 + 3/2

=14 + 1.5

=15.5 Kg

Hence, they have to carry 15.5 kg.

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The complete and translated question is

My mom and I, yesterday we went to the supermarket and

we bought

punch

following items:

everything you need to make the

Christmas, and we bought the

Piloncillo 14 kg

Tejocote 1½ kg-

Apple 2¾ kg

oldestqx3

Guava 0.75 kg

Plum 1.75 kg

Cane 2.40 kg

Cinnamon ½ kg

If my mom took the piloncillo and the tejocote,

How many kilos did I carry in total?

13

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

Answer:

690 square ft

Step-by-step explanation:

2,070 cubic ft ÷ 3 ft = 690 ft squared

Answer:

\(m=7\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from chart.

Point (-7, -7)

Point (-4, 14)

Step 2: Find slope m

Answer:

\(\boxed {\boxed {\sf m=7}}\)

Step-by-step explanation:

To find the slope, we can use the slope formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

where (x₁, y₁) and (x₂, y₂) are points on the line.

We can pick any two points in the chart.

Let's use (-1, 35) and  (2,56).

If we use these points, then the variables are:

\(x_1=-1 \\y_1=35 \\x_2=2 \\y_2=56\)

Substitute the values into the formula.

\(m=\frac{56-35}{2--1}\)

Solve the numerator.

\(m=\frac{21}{2--1}\)

Solve the denominator.

\(m=\frac{21}{3}\)

Divide.

\(m=7\)

The slope of the line is 7

Answer:

Is there any answer choices? If not I would think its 5$

                                                                                      5$

                                                                                      4$

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

In the exponential decay, A) r = -0.0839 , B) r = -8.39% , C) Value=$11,800.

What is exponential decay?

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

To find the annual rate of change between 1992 and 2006, we can use the formula:

r = \((V_2/V_1)^{1/n}-1\)

where V1 is the initial value, V2 is the final value, and n is the number of years between the two values.

=>r = -0.0839

Therefore, the rate of change between 1992 and 2006 is -0.0839.

To express the rate of change in percentage form, we can multiply the result from part A by 100:

=>r = -0.0839 x 100

=> r = -8.39%

Therefore, the rate of change between 1992 and 2006 is a decrease of 8.39%.

To find the value of the car in the year 2009, we can assume that the value continues to drop at the same percentage rate as calculated in part A.

From 2006 to 2009, there are 3 years. So, using the formula for exponential decay, we have:

where V0 is the value in 2006, r is the rate of decrease, and n is the number of years between 2006 and 2009.

=>V = 11792.51

Therefore, the value of the car in the year 2009 would be approximately $11,800 (rounded to the nearest $50).

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The relation will be given by the expression given as follows L = 120 − 12tt

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

Kaylee borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Kaylee originally borrowed $120 from her friend and after 5 weeks, she still owed her friend $60

The expression will be calculated as follows:-

$120 is the total Kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5.

E  = 120 - 12tt

therefore the relation will be given by the expression given as follows L = 120 − 12tt

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Answer:

A and D

Step-by-step explanation:

The fractions between these heights are -

-1/10 , -2/10, -3/10, - 4/10, - 5/10, - 6/10, -7 /10, - 8/10, - 9/10

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that while in the water, Meg saw some treasures located between the surface of the water and 1 foot below.

Assume the surface to be at 0 ft. Then, 1 feet below, can be written as -

x = - 1

So, the fractions between these heights are -

-1/10 , -2/10, -3/10, - 4/10, - 5/10, - 6/10, -7 /10, - 8/10, - 9/10

Therefore, the fractions between these heights are -

-1/10 , -2/10, -3/10, - 4/10, - 5/10, - 6/10, -7 /10, - 8/10, - 9/10

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