Please Help 15 points!!!! (Only explain if you want but I suggest you do)Heart rates are expressed as beats per minute (or bpm). Mia knew her resting heart rate was 80 beats per minute. She asked her teacher if she could collect the heart rates of the other students in her class. With the teacher’s help, the other sixth graders in her class found their heart rates and reported them to Mia. The following numbers are the resting heart rates (in beats per minute) for the 22 other students in Mia’s class. 89 87 85 84 90 79 83 85 86 88 84 81 88 85 83 83 86 82 83 86 82 84

Part A:
What fraction of students had a heart rate less than 82 bpm?

Part B:
Half of the students heartrates were below what number?

105 push- ups completed in 45 seconds.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

The world record for the most number of push-ups in 60 seconds is 140 push-ups.

let x be the number of push- ups done in 45 seconds.

Using proportion

60 / 140 = 45 /x

60x = 6300

x= 105

Hence, 105 push- ups completed in 45 seconds.

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Answer:

a = -2

Step-by-step explanation:

15-a =17

a=15 - 17

a=-2

Answer:

hi

Step-by-step explanation:

-a=17-15

-a=2

have a nice day

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Answer:

Step-by-step explanation try b:

None of the options are correct because no table shows the 1 gallon per minute.

Given that,
To determine which of the table shows the rate of 1 gallon per minute.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here.
Table 1,
Rate = number of gallon / minute = 1 / 5 / [10/5] = 1/10 gallon per minute
Similarly.
Table 2
Rate = 2 / 3  gallon per minute
Table 3
Rate = 1 / 2  gallon per minute
Table 4
Rate = 3 / 8  gallon per minute

Thus. none of the options is correct because no table shows the 1 gallon per minute.

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Answer:

The area of a triangle= bh/2. Substitute

12(x+6)/2 ≤ 72

12(1/2x+3) ≤ 72

6x+36 ≤ 72

6x ≤ 72-36

6x ≤ 36 Divide both sides by 6

x ≤ 6

x|x ≤6 (read: x, where x is equal or smaller than 6)

Step-by-step explanation:

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

\(\frac{1}{2}\) blocks

Step-by-step explanation:

If it takes 15 minutes to walk 7 1/2 blocks, it should be 15:17\(\frac{1}{2}\)

The left side is minutes and the right side is the number of blocks

15:17\(\frac{1}{2}\)

 1: ?  Since we are figuring out how many blocks he can walk in a minute, the left side is 1 and the right side is a question mark because we have not figured it out yet.

15: 17 \(\frac{1}{2}\)    Divide by 15 on both sides because that is the "distance" from 15 to1

 1 : ?

1: \(\frac{1}{2}\)

So the answer is \(\frac{1}{2}\)

Answer:

5400000

Step-by-step explanation:

To make it easier.

12 x 45, then add your four zeros on your answer!

Hope this helps!

Yours Truely, TheAnimeCatUwU

Answer:

150

Step-by-step explanation:

30 + 30 + 45 + 45 = 150

Answer:

Step-by-step explanation:

Let's check his work by simplifying the given expression.

When I compare Marty's result and this result, they are un-equal. Hence, Marty is incorrect.

Marty's mistake

\(\\ \sf\longmapsto 2(x-2)-2(3)\)

\(\\ \sf\longmapsto 2x-2(2)-6\)

\(\\ \sf\longmapsto 2x-4-6\)

\(\\ \sf\longmapsto 2x-10\)

Marty was wrong in opening brackets

Answer: 17.4

Step-by-step explanation:

There isn't much to it... it's basic addition.

I guess if you were not using a calculator you would set it up like this:

3.1

+7.4

+6.9

---------

17.4

Answer:

17.4

Step-by-step explanation:

if you estimate all of these you get 3,7, and 7, these(added together) are 17,

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer:

The inequality is always true.

True

(づ￣ ³￣)づ

is that algebra?

In the year 2006, the total average credit card debt for a U.S. household was 10370 dollars.

We are given the expression that gives an approximate value of the total average credit card debt in a U.S. household (in dollars), t years after 1995 as;

420t + 5750

where t represents number of years after the year 1995. Thus, for the year 2006, the value of t is;

t = 2006 - 1995

t = 11 years

Thus;

f(11) = 420(11) + 5750

f(11) = 10370 dollars

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Answer:

Infinite, any number

Step-by-step explanation:

Simplify

30 - 3x = 30 - 3x

In 1 cup of oatmeal, there is (1/10) * x of the recommended daily value of iron.

Step by step explanation

Let's call the recommended daily value of iron as "x".

Multiplication equation: (1/10) * (3/4 cup) = (3/40) * x

Division equation: (3/40) * x / (1 cup) = (3/40) * x * (4/3) = (1/10) * x

So, in 1 cup of oatmeal, there is (1/10) * x of the recommended daily value of iron.

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Answer:

(-oo, -4)

Step-by-step explanation:

The y-intercept is -4 and the function is negative. The y value continues infinitely downward and never rises past -4.

We have to find the value of sec(π/4).

We start by using its equivalent expression:

Using the unit circle we can find the value of cos(π/4) as:

Then, we can find sec(π/4) as:

Answer: √2 [Third option]

With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.

To calculate the future value of an investment with compound interest, we can use the following formula:

FV =\(PV * (1 + r/n)^{(n*t)}\)

where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.

In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment  is 5 years.

Using these values, we can calculate the future value (FV) as follows:

FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)

= \(\$900 * (1.03)^{10\)

= $1,191.02

Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.

If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:

I = P x r x t

where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.

In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:

I = $900 x 0.06 x 5

= $270

Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:

Total = $900 + $270

= $1,170

Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.

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The value of the x in the linear equation is a 3/4.

According to the statement

We have to find that the value of the x.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

8 - (6 - 8x) = 4x + 5

Now we have to solve this

Then

8 - (6 - 8x) = 4x + 5

8 - 6 + 8x = 4x + 5

Now, rearrange the above written terms for the value of the x

2 + 8x = 4x + 5

4x = 3

x =3/4.

So, The value of the x in the linear equation is a 3/4.

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Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

x + y = 4 ← is the equation of a straight line

find the x and y- intercepts

to find the y- intercept let x = 0 in the equation and solve for y

0 + y = 4 , that is

y = 4 ⇒ (0, 4 ) is a point on line

to find the x- intercept let y = 0 in the equation and solve for x

x + 0 = 4 , that is

x = 4 ⇒ (4, 0 ) is a point on the line

the graph representing the system is

a horizontal line y = 3 and another line passing through (0, 4 ) and (4, 0 )