Sally Bought A Soft Drink For $3 And Seven Candy Bars. She Spent A Total Of $31. How Much Did Each Candy (2024)

Answer:

you could fit 7776 people on the gym floor for an event.

Step-by-step explanation:

The Locust Grove gymnasium has an area of 54 yd x 40 yd = 2160 square yards. To find the number of people that can fit on the gym floor, we need to convert the area of the gym floor to square feet and divide it by the number of square feet each person takes up.

We know that 1 yard = 3 feet, so we have to convert the area of the gymnasium in square yards to square feet by multiplying it by (3*3) = 9.

So the area of the gymnasium in square feet is 2160*9 = 19440 square feet.

To find the number of people that can fit on the gym floor, we divide the area of the gym floor by the number of square feet each person takes up.

19440 square feet / 2.5 square feet/person = 7776 people

Answer:

(f/g)(x) = -(x²+7x)/(x²-9)

Step-by-step explanation:

Given f(x) = x^2 +7x and g(x) = 9 -x^2, you want f/g(x).

Substitution

The rational function (f/g)(x) is ...

[tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{x^2+7x}{9-x^2}\\\\\\\boxed{(f/g)(x)=-\dfrac{x^2+7x}{x^2-9}}[/tex]

__

Additional comment

We simply use the values of f(x) and g(x) in the desired ratio. No simplification is possible.

Answer:

The lace is 36 cm long and 1 cm = 10 mm. So, 36 cm = 360 mm.

He can cut the lace into 18 mm pieces, so he can cut 360 mm / 18 mm = 20 pieces of 18 mm lace from the 36 cm lace.

Answer:

length = 6 cm , breadth = 4 cm

Step-by-step explanation:

the area (A) of the large rectangle = length × breadth

here length = 12 cm and breadth = 4 + x , then

A = 12(4 + x) cm²

the area (A) of the smaller rectangle = x(x + 2)

given area of larger is 4 times area of smaller then

12(x + 4) = 4x(x + 2) ← distribute parenthesis on both sides

12x + 48 = 4x² + 8x , that is

4x² + 8x = 12x + 48 ( subtract 12x + 48 from both sides )

4x² - 4x - 48 = 0 ( divide through by 4 )

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

but x must be greater than zero, so x = 4

dimensions of smaller rectangle are

length = x + 2 = 4 + 2 = 6 cm

breadth = x = 4 cm

Answer:

see explanation

Step-by-step explanation:

the denominator of a rational expression cannot be zero as this would make the expression undefined.

equating the denominator to zero and solving gives the value/s that x cannot be.

1

4x = 0 ⇒ x = 0

x = 0 ← is an excluded value in the domain

2

8x + 3 = 0

8x = - 3

x = - [tex]\frac{3}{8}[/tex]

x = - [tex]\frac{3}{8}[/tex] ← is an excluded value in the domain

3

2 - 10x = 0

- 10x = - 2

x = [tex]\frac{-2}{-10}[/tex] = [tex]\frac{1}{5}[/tex]

x = [tex]\frac{1}{5}[/tex] ← is an excluded value in the domain

4

x + 12 = 0

x = - 12

x = - 12 ← is an excluded value in the domain

5

(2x - 1)(x + 6) = 0

equate each factor to zero and solve for x

2x - 1 = 0

2x = 1

x = [tex]\frac{1}{2}[/tex]

x + 6 = 0

x = - 6

x = - 6 and x = [tex]\frac{1}{2}[/tex] ← are excluded values in the domain

Answer:

Let's call the amount Erica earned from her job at the college "x". We know that:

Total income = $67,160

Income from store = 3x + 1,550

Total income = Income from store + Income from college

67,160 = 3x + 1,550 + x

67,160 = 4x + 1,550

Now we can solve for x:

67,160 - 1,550 = 4x

65,610 = 4x

x = 16,402.5

Erica earned $16,402.50 from her job at the college.

After evaluating the expression 58 + (4x12-40) to the power of 2, we get 4356 or 4.356 ×10³ in scientific notation.

What is expression?

An expression or mathematical expression is a finite combination of symbols that are well-formed in accordance with context-dependent rules. To help define the logical syntax and order of operations, mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, and grouping.

Authors frequently distinguish between a formula and an expression, with the former referring to a mathematical object and the latter to a statement about such an object.

We have been asked to evaluate the Expression

​58 + (4x12-40) to the power of 2

⇒ (​58 + (4x12-40))²

Use (a + b)² = a² + b² + 2ab

= 58² + (4x12-40)² + 2(​58)(4x12-40)

= 3364 + (4x12-40)² + 116(4x12-40)

= 3364 + (48-40)² + 116(48-40)

= 3364 + (8)² + 116(8)

= 3364 + 64 + 928

= 4356

= 4.356 ×10³

Thus, After evaluating the expression 58 + (4x12-40) to the power of 2, we get 4356 or 4.356 ×10³ in scientific notation.

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Answer:

-320

Step-by-step explanation:

Use the formula

Tₙ = a + (n - 1)d where

a is the first term (in this case, -2)

n is the required term ( in this case, 54)

d is the common difference (in this case, -6)

54th term = -2 + 53 x -6 = -320

Pls mark as brainliest if possible. Cheers

statement CBA ≅ TWR is true.

what is congruence theorem?

The theorem that states that two triangle is congruent when there three corresponding sides are equal and all three corresponding angles are also equal.

Which statement is true for congruent triangle?

given, triangle ABC and Triangle RWT both are right-angled.

we examined that three corresponding sides of ABC is equal to the corresponding sides of RWT and same for the three corresponding angles.

we measured, right angle A = right angle R

base length AB = base length RW

hypotenuse BC = hypotenuse WT

Side length AC = side length RT

angle C = angle T

angle B = angle W

as per the properties of congruence theorem ABC and RWT are congruent.

hence the statement CBA ≅ TWR is true.

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The model shows that there are 10 pieces that are each 0. 2 ft long.

How to find the number of pieces ?

From the given model, we see that Devin cut the ribbon in equal proportions. The number of proportions can be found by summing the different sections on the ribbon.

This number comes to 10 sections which means that Devin cut the ribbon into 10 pieces.

The length of each of these pieces is:

= Length of entire ribbon / Number of pieces

= 2 / 10

= 0. 2 ft long

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The ratio for each product, so that they can be compared to the new brand, is given as follows:

Product A: 4.75 : 1.Product B: 8.5 : 1.Product C: 7.75 : 1.

How to obtain the ratios?

The ratio of an amount A over an amount B is obtained applying the proportion of these amounts, that is, the division of A by B.

Hence, for the products in this problem, the ratio of protein to carbs is applied by the division of the amounts of protein by cards.

For each product, the ratios are obtained as follows:

Product A: 4.75 : 1, as 38/8 = 4.75.Product B: 8.5 : 1, as 34/4 = 8.5.Product C: 7.75 : 1, as 31/4 = 7.75.

Hence they can be compared to the new product, as all the ratios have a denominator of one.

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The system of inequalties on the graph is:

x + 4y ≤ 15

y ≥ 0

Which system of inequalities is modeled by the graph?

First, we can see a solid line at y = 0 and we have the region above that line shaded, so one of the inequalities is:

y ≥ 0.

The other inequality is a solid line with a negative slope and the shaded region is below the line.

The only option that has these characteristics is:

x + 4y ≤ 15

4y ≤ - x + 15

y ≤ (-1/4)x + 15/4

Then the system of inequalities is:

x + 4y ≤ 15

y ≥ 0

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The new equation is y=-1/2x+5. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

What is mathematical equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." The link between two expressions on either side of the sign is represented by a mathematical equation. One variable and an equal sign are typically present. For instance, 2x – 4 = 2. The smallest equivalent fraction of the number is considered to be its simplest form. What to do to discover the simplest form? Investigate the numerator and denominator for shared factors. To see if a fractional number is a prime number, check it.

Our first line in this equation is y=2x-1. By applying the equation y=mx+b, where "m" stands for the slope, we can see that our "m" in this instance is 2. then negate 2. It turns into -2.

Change the denominator and numerator after that. Since -2 is actually -2/1, let's change it to -1/2. The perpendicular line's slope is that.

We must now make it pass through (-2,6). We just have a line like this to work with at the moment: y=-1/2x

Plugging in the x-coordinate of our target location, -2, yields y=-1/2(-2), or 1. But hold on, because the y-coordinate we were given is 6, shouldn't y be equal to 6 as well? Yes! The only thing left to do is to add 5 to get from 1 to 6!

The complete question is,

Write an equation for a line perpendicular to y = 2 x − 1 and passing through the point (-2,6)

Write an equation for a line perpendicular to y=2x−1 and passing through the point (-2,6)

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Customers who purchase items with discount of credit has 30 days to repay the balance. However, if clients pay for their products within 10 days,

How exactly is the trade credit calculated?

A trade discount, often referred to as a functional reduction, can be applied as a fixed percentage or flat rate deduction from the a seller's initial catalogues list price, in which case the trading discount amount is calculated by multiplying the list price by the percentage difference. Calculating the trade discount requires knowledge of both the item's original list price and the trade discount percentage. The list price is multiplied with the trade discount % in decimal form to arrive at the trade discount.

Here,

they will receive a 2% discount. Customers need only pay $9,800

if they buy $10,000 from Group A underneath the terms 2/10 gross 30 and pay within ten days ($10,000 x 0.98 = $9,800).

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Answer: 49.5

Step-by-step explanation:

Let Thomas' age be [tex]T[/tex]. Then, Hulian's age is [tex]T+14[/tex].

[tex]T+T+14=113\\\\2T+14=113\\\\2T=99\\\\T=49.5[/tex]

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

What is the expression regarding the pattern?

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

The table that represents the equation and the graph is

(-1, 7.5). (1, 4.5), (3, -1.5), and (5, 1.5)

How to find the table that represents the equation

This can be found by tracing the points on the graph or substituting into the equation

The equation is 3x − 2y = 12, rearranging will result to 1.5x - 6 = y

substituting the values of x into y = 1.5x - 6

for x = -1, y = 1.5 * -1 - 6 = -7.5

for x = 1, y = 1.5 * 1 - 6 = -4.5

for x = 3, y = 1.5 * 3 - 6 = -1.5

for x = 5, y = 1.5 * 5 - 6 = 1.5

Hence the third option while counting from top id the correct option

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The ordered pairs for the equation 3x - 2y = 12 is (-1, -7.5), (1, -4.5), (3, -1.5) and (5, 1.5)

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Given the equation:

3x - 2y = 12

2y = 3x - 12

y = (3/2)x - 6

When x = -1; y = (3/2)(-1) - 6 = -7.5

When x = 1; y = (3/2)(1) - 6 = -4.5

When x = 3; y = (3/2)(3) - 6 = -1.5

When x = 5; y = (3/2)(5) - 6 = 1.5

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Answer:

The answer is b.

Step-by-step explanation:

For first row first column=18+72+10=100

For first row second column=-9+48-7=32

For first row third column=27-96+7=-62

Repeat this for the rest.

Hope this helps you.

Answer: Lucy payed $0.80 for each pound of coffee

Explanation:You had to divide 3.20 into 4

Answer:

A rational consumer isan economic concept that presupposes that when making a choice, consumers will always focus primarily on the maximisation of their private benefits. In decision making, rational consumers select the option that will bring the most utility and satisfaction to them.

Answer: The answer to the computation 348 + 598 is 946.

Step-by-step explanation:

To obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.

348 rounded to the nearest ten is 350

598 rounded to the nearest ten is 600

So, our estimate for the sum of 348 + 598 is 350 + 600 = 950

Using a calculator, the actual computation is 348 + 598 = 946

Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.

Answer:

Nose inglés lo siento xdddddddddddddddddddddd

Answer: 222 gallons of gasoline to travel 444 miles.

Step-by-step explanation: To find how much gasoline the boat needs to travel 444 miles, we need to use the formula:

distance = rate x time

Where distance is the total distance to be traveled, rate is the distance per unit of fuel (370 miles/185 gallons) and time is the amount of fuel required to travel 444 miles.

So we can calculate the fuel required as:

Fuel = (distance) / (rate)

Fuel = (444 miles) / (370 miles/185 gallons) = 444/ (370/185) = 444/2 = 222 gallons.

So the boat needs 222 gallons of gasoline to travel 444 miles.

Answer:

71

Step-by-step explanation:

the circle standard form is

(x - h)² + (y - k)² = r²

r being the radius, (h, k) being the coordinates of the center.

fully multiplied that is

x² - 2hx + h² + y² - 2ky + k² = r²

we have here

4x² + 12x + 4y² - 40y - B = 0

our first step is to bring this back to an excision in x² and y². so, we divide everything by 4.

x² + 3x + y² - 10y - B/4 = 0

by comparing this to the general equation we see

3 = -2h

h = -3/2 = -1.5

-10 = - 2k

k = 5

-B/4 = h² + k² - r² = 9/4 + 25 - (3×sqrt(5))² =

= 9/4 + 25 - 9×5 = 9/4 + 25 - 45 = 9/4 - 20

-B = 9 - 80 = -71

B = 71

Answer:

1 * 3 ==> 4th option

Step-by-step explanation:

Matrix dimensions are:

number of rows by number of columns

The number of rows is 1 : ( -4 1/4 -1 is the row)

The number of columns is 3 : (-4, 1/4, and -1 are the columns)

Hence, the dimensions is 1 * 3.

Answer:

1 x 3

Last choice

Step-by-step explanation:

The dimensions of a matrix are represented by number of rows x number of columns

There is only one row here (don't be confused by the 1/4) and there are three columns

So 1 x 3

(last choice)

The border should be 6 inches wide.

What is area?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

Given that, A picture is to be put on a poster board that is 18 in. by 22 in. there is to be an even amount of poster board around the picture, the area of the picture is 192 in.²

Let the marginal space left is x in

Therefore,

(18-x)(22-x) = 192

396 -18x - 22x + x² = 192

x² - 40x + 204 = 0

Factorizing the expression, we get,

x = 34 or x = 6

(Note :- Neglecting 34 because 34 is grater than the dimensions given)

Therefore, the marginal space is 6 inches.

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Answer: Linear

Explanation:

The points do not fall on the same line, but the points trend upward as we move to the right. This means that a straight line can get somewhat close to all of the points to represent the average trend of what's going on.

Answer:

linear :)

Step-by-step explanation:

ive already answered this question and got it right <3

The z score for a student who received a score of 310 is 0.75

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that the eighth-grade math test is Normal, (282, 40), hence mran = 282, stand. deviation = 40

For a score of 310:

z = (310 - 282) / 40 = 0.75

The z score is 0.75

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