Maria runs each lap in 7 minutes. She will run less than 84 minutes today. What are the possible numbers of laps she will run today?

Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.

The 8-count pack of AA batteries has a lower unit prices of $0.78 per battery.

Option B is correct.

Division in mathematics is the process of breaking a number up into equal parts, and finding out how many equal parts can be made. For example, dividing 15 by 3 means splitting 15 into 3 equal groups of 5.

According to the question

Unit price of 8 AA batteries

= 6.24 ÷ 8

= 0.78

Unit price of 20 AA batteries

= 15.8 ÷ 20

= 0.79

Since, 0.78 < 0.79

Therefore, the unit price of 8 AA batteries is low.

Option B is correct.

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Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

Answer: The shirt was discounted at 30%

Step-by-step explanation:

1- Find how many dollars you saved (16-11.20=4.8$)

2-

4.8/16

?/100

?= 100x4.8÷16

?=30

The approximate percent increase in his math average is 12%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

percent increase in math average = (difference in average/initial average) * 100

percent increase in math average = (93 - 83)/83 * 100

percent increase in math average = 10/83 * 100

percent increase in math average = 12%

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Answer:

In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U? Therefore, the ratio that represents the cosine of ∠U is 39/81.

Step-by-step explanation: hope this helps

Answer:

10.8

Step-by-step explanation:

3 3/5 divided by 1/6

(3(3/5))/(1/6)

(9/5)/(1/6)

54/5

10(4/5)

10.8

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Step-by-step explanation: (I'm not gonna' do it all for you tho)

to convert from percent to fraction:

70% = \(\frac{70}{100} =\frac{7}{10}\)

to convert from fraction to percent:

\(\frac{11}{20}=\frac{55}{100}\) = 55%

to convert from fraction to decimal:

\(\frac{3}{25} =\frac{12}{100} =0.12\)

to convert from decimal to fraction:

\(1.25=\frac{125}{100} =1\frac{25}{100} =1\frac{1}{4}\)

to convert from percent to decimal:

0.2% = \(\frac{0.2}{100} =0.002\)

to convert from decimal to percent:

\(0.4= (0.4*100)\)% = 40%

With that, you can solve the rest on your own

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

Answer:

câu này là 500 nhen

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

The diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.

Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.

In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

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The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.

Let

cost of one small box of fruit = x

cost of one large box of fruit = y

15x + 15y = 390

20x + 25y = 592.50

From (1)

x + y = 26

x = 26 - y

Substitute x = 26 - y into (2)

20x + 25y = 592.50

20(26 - y) + 25y = 592.50

520 - 20y + 25y = 592.50

- 20y + 25y = 592.50 - 520

5y = 72.50

divide both sides by 5

y = 72.50/5

y = 14.5

Substitute y = 14.5 into

15x + 15y = 390

15x + 15(14.5) = 390

15x + 217.5 = 390

15x = 390 - 217.5

15x = 172.5

divide both sides by 15

x = 172.5/15

x = 11.5

Therefore, small box cost $11.5 and large box cost $14.5

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

291.6 g

Step-by-step explanation:

Hi there!

What we know:

To find the total grams of protein that Michael's dog ate, multiply 48.6 g by 6 cans:

48.6 × 6 = 291.6

Therefore, Michael's dog ate 291.6 g of protein altogether.

I hope this helps!

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer: throw something at it maybe

Step-by-step explanation:

i beilive this is unknown

Answer:

\(-x - y = 2\).

Step-by-step explanation:

If the slope of a line in a plane is \(m\) and the \(y\)-intercept of that line is \(b\), the slope-intercept equation of that line would be \(y = m\, x + b\).

Rearrange the equation of the given line \(-x + y = 7\) in the slope-intercept form to find the slope of this line:

\(-x + y = 7\).

\(x -x + y = x + 7\).

\(y = x + 7\).

Notice that in the slope-intercept equation of this given line, the coefficient of \(x\) is \(1\). Thus, the slope of the given line would be \(m_{1} = 1\).

Two lines in a plane are perpendicular to one another if the product of their slopes is \((-1)\). In other words, if \(m_{1}\) and \(m_{2}\) are the slopes of two lines perpendicular to each other, then \(m_{1}\, m_{2} = (-1)\).

Since \(m_{1} = 1\) for the given line, the slope of the line perpendicular to this given line would be:

\(m_{2} = (-1) / m_{1} = (-1) / 1 = -1\).

If the slope of a line in a plane is \(m\), and that line goes through the point \((x_{0},\, y_{0})\), the equation of that line in point-slope form would be:

\(y - y_{0} = m\, (x - x_{0})\).

The slope of the line in question is \(m = (-1)\). It is given that this line goes through the point \((-1,\, -1)\), where \(x_{0} = (-1)\) and \(y_{0} = (-1)\). Thus, the equation of this line in point-slope form would be:

\(y - y_{0} = m\, (x - x_{0})\).

\(y - (-1) = (-1)\, (x - (-1))\).

\(y + 1 = -(x + 1)\).

Rearrange this equation to match the format of the choices:

\(y + 1 = -x - 1\).

\(x + y = -2\).

\(-x - y = 2\).

Answer: The is THH, or A.

Step-by-step explanation: The question directly ask for “at least two heads”, which no other answer contains two heads. Therefore, the answer is A.

Answer:

2+x=4

x = 4 - 2

x = 2

Step-by-step explanation:

........

You have some missing symbols, so I'm guessing that the integral reads

\(\displaystyle \int_C (x-9y) \, dx - x^2 \, dy\)

where C is composed of the two line segments,

• C₁ = {(9t, t) : 0 ≤ t ≤ 1}

• C₂ = {(9 + t, 1 - t) : 0 ≤ t ≤ 1}

The integrals over each path are

\(\displaystyle \int_{C_1} (x-9y) \, dx - x^2 \, dy = \int_0^1 (9t - 9\cdot t) (9 \, dt) - (9t)^2 \, dt\)

\(\displaystyle \cdots = -81 \int_0^1 t^2 \, dt\)

\(\displaystyle \cdots = -\frac{81}3 (1^3 - 0^3) = -27\)

and

\(\displaystyle \int_{C_2} (x-9y) \, dx - x^2 \, dy = \int_0^1 ((9 + t) - 9(1 - t)) \, dt - (9 + t)^2 (-dt)\)

\(\displaystyle \cdots = \int_0^1 (81 + 28t + t^2) \, dt\)

\(\displaystyle \cdots = 81 (1 - 0) + 14 (1^2 - 0^2) + \frac13 (1^3 - 0^3) = \frac{286}3\)

Then the overall line integral has a value of

\(\displaystyle \int_C (x-9y) \, dx - x^2 \, dy = -27 + \frac{286}3 = \boxed{\frac{205}3}\)

Answer: Let's first calculate the number of users after one year:

Number of users after one year = 16 lakh + 50% of 16 lakh

= 16 lakh + 8 lakh

= 24 lakh

Now, we can calculate the number of users after two years by applying the same growth rate:

Number of users after two years = 24 lakh + 50% of 24 lakh

= 24 lakh + 12 lakh

= 36 lakh

Therefore, two years from now, it is expected that 36 lakh (3.6 million) students in India will be using Khan Academy.

Step-by-step explanation:

Answer:

36 Iakh Students

Step-by-step explanation:

Items that can be produced and sold in order to make a profit is

\(5\leq n\leq 38\)

Given :

The cost of producing n items is (950+63n). The items can be sold for (280-5n) per item

Cost price = \(950+63n\)

Selling price is 280-5n for one item

Selling price of 'n' items

\(n \cdot (280-5n)\\280n-5n^2\)

We know that ,  profit = selling price for n items  - cost price for n items

We make profit only when selling price - cost price >=0

Lets replace the expressions

\(280n-5n^2 - (950+63n)\geq 0\\280n-5n^2 - 950-63n\geq 0\\\\-5n^2+217n-950\geq 0\)

Solve the inequality for n

Apply the quadratic formula to solve for n

\(-5n^2+217n-950=0\\n=\frac{-217\pm \sqrt{217^2-4\left(-5\right)\left(-950\right)}}{2\left(-5\right)}\\n=\frac{-217\pm \:3\sqrt{3121}}{2\left(-5\right)}\\n=\frac{-217+3\sqrt{3121}}{2\left(-5\right)},\:n=\frac{-217-3\sqrt{3121}}{2\left(-5\right)}\\n=4.94022 ,\:n=38.45977\)

Now we check the inequality

lets pick a number before 4.9 , n=4

\(-5n^2+217n-950\:\geq 0\\-162\geq 0 false\\\\Pick, n=10\\-5\left(10\right)^2+217\left(10\right)-950\geq 0\\720\geq 0 true\\\\Pick, n=40\\-5\left(40\right)^2+217\left(40\right)-950\geq 0\\-270\geq 0 false\\\)

n=40 satisfies our inequality  

40 lies between n=4.9  and n=38

So, \(5\leq n\leq 38\) items can be produced and sold in order to make a profit

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Answer:

Step-by-step explanation:

6

Answer:

\(8 \ feet\)

Step-by-step explanation:

In this situation, one is given the following information. A ladder is leaning against a wall and has a measure of (17) feet. The bottom of the ladder is (15) feet away from the wall. One can infer that the wall forms a right angle with the ground. Thus, the triangle formed between the ground, ladder, and wall is a right triangle. Therefore, one can use the Pythagorean theorem. The Pythagorean theorem states the following,

\(a^2+b^2=c^2\)

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle. The parameter (c) represents the hypotenuse or the side opposite the right angle. In this case, the legs are the ground and wall, and the hypotenuse is the ladder. Substitute this into the formula a solve for the height of the wall.

\(a^2+b^2=c^2\)

Substitute,

\((ground)^2+(wall)^2=(ladder)^2\\\\(15)^2+(wall)^2=(17)^2\\\)

Simplify,

\((15)^2+(wall)^2=(17)^2\\\\225+(wall)^2=289\)

Inverse operations,

\(225+(wall)^2=289\\\\(wall)^2=64\\\\wall=8\)