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Neporo4naja [7]

3 years ago

6

Dom Grady has completed 21 out of 25 passes for his football team. What percentage of his total passes has he completed? Explain

and support your answer. Show ALL steps.
(I'll give you five stars if you do this right, thank you!!)

2 answers:

BabaBlast [244]3 years ago

7 0

Answer:

84%

Step-by-step explanation:

Completed passes: 21

total: 25

fraction: 21/25

21/25 x100

= 84

He has completed 84% of passes.

soldier1979 [14.2K]3 years ago

4 0

Answer: 84%

Step-by-step explanation:

1. Convert each number to 100% to make it easier to work out.

2. Multiply 25 x 4 to get to 100, and 21 x 4.

3. 21 x 4=84.

4. So, Grady had completed 84% of the passes.

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nataly862011 [7]

Answer:

Step-by-step explanation:

Confidence intervals have been underutilized prior to this time.

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Step-by-step explanation:

To solve this you have to figure out how many pints are needed to get a gallon so you have pints which there should be 4 pints but you need more than 4 pints to make a gallon so multiply that by 2 then divide how much a gallon is to get the number of pints they drank in a week

8 0

2 years ago

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What is 3k +2 ( 5k - 3) = 7

polet [3.4K]

Answer:

k= -0.2

Step-by-step explanation:

3+2(5k-3)=7 (original)

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2 years ago

HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked

Vinil7 [7]

Answer:

1. $33,000

2. $6077.53

3.

a) 2.72 seconds

b) 0.96 seconds

4. 189 square meters

5.

a) Average Rate of Change = 4 pounds per week, or -4

b) 160 pounds (after 5 weeks)

6.

Independent Variables = p, A, and H

Dependent Variable = T

141 beats per minute (rounded to nearest whole number)

Step-by-step explanation:

1.

The value of a tractor V(t) decreases over time, t. Its value is given by:

$V(t)=55000-5500t$

To find value of tractor after 4 years, we would need to substitute "4" into t and calculate. It is shown below:

$V(t)=55000-5500t\\V(4)=55000-5500(4)\\V(4) =33000$

The value of the tractor after 4 years is <u>$33,000</u>

<u></u>

2.

The value of investment that is growing each year, is given by:

$f(n)=5000(1.05)^{n}$

Where

5000 is the initial investment (deposit)

1.05 means a 5% growth rate per year

n is the time in years

We want the investment's value after 4 years, so n would be 4. Substituting we get our answer:

$f(n)=5000(1.05)^{n}\\f(4)=5000(1.05)^{4}\\f(4)=6077.53$

To the nearest cent, the value of the investment would be:

<u>$6077.53</u>

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3,

The time it takes of pendulum to make one swing is given by the formula:

$T(L)=2\pi \sqrt{\frac{L}{32}}$

Where L is the length of the pendulum in feet

a)

If L = 6ft, the time it will take is:

$T(6)=2\pi \sqrt{\frac{6}{32}}\\T(6)=2.72$

About <u>2.72 seconds</u>

<u></u>

b)

Now, the length is 9 inches, we convert it to feet first:

9/12 = 0.75 feet

So, the time it will take:

$T(0.75)=2\pi \sqrt{\frac{0.75}{32}}\\T(0.75)=0.96$

So, it will take about <u>0.96 seconds</u>

<u></u>

4.

The area of weed after t days can be modeled by:

$A(t)=0.006 \pi t^2$

Where t is number of days

Now, we want to find area after 100 days, so let t = 100, we get:

$A(t)=0.006 \pi t^2\\A(100)=0.006 \pi (100)^2\\A(100)=188.5$

Rounded to nearest sq. m, we have the area to be:

<u>189 square meters</u>

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5.

a)

The avg. rate of change is basically how much the program is advertising that someone can loose in a week. It says "4 pounds per week". Since decrease, we give the value of "4" and negative sign So:

<u>Average Rate of Change = 4 pounds per week, or -4</u>

<u></u>

b)

Initial weight is 180 pounds, we know 4 pounds is decreased every week when going through the program course. So, after 5 weeks,

5 * 4 = 20 pounds will be less

So, he will be:

180 - 20 = <u>160 pounds (after 5 weeks)</u>

6.

The Karvonen formula is given as:

$T=p(220-A)+H(1-p)$

Where

T is target heart rate (in bpm)

p is the percent intensity (expressed as decimal)

A is the age (in yrs)

H is the resting heart rate (in bpm)

We need to identity the independent and dependent variables. Now, lets that a simple example:

y = 2x

Here,

x is the independent variable

y is dependent on x, so y in dependent

Similarly, if you look at the formula, you can see:

p, A, and H are all independent

T depends on them

So,

p, A, H are independent variables

T is the dependent variable

<u>Independent Variables = p, A, and H</u>

<u>Dependent Variable = T</u>

<u></u>

We are given

A = 35

H = 60

p = 65% = 65/100 = 0.65

Now, we want T, lets substitute and find:

$T=0.65(220-35)+60(1-0.65)\\T=141.25$

<u>The target heart rate should be: 141 beats per minute (rounded to nearest whole number)</u>

<em><u /></em>

<em><u /></em>

3 0

3 years ago

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tiny-mole [99]

Answer:

$x=32$ °

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

$\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}$

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

$\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}$

$\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}$

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

$\frac{sin(x)}{10}=\frac{sin(116)}{17}$

Now take the cross product in this equation to simplify it further,

$\frac{sin(x)}{10}=\frac{sin(116)}{17}$

$17(sin(x))=10(sin(116))$

Inverse operations, solve this equation for (x),

$17(sin(x))=10(sin(116))$

$sin(x)=\frac{10(sin(116))}{17}$

$x=sin^-^1(\frac{10(sin(116))}{17})$

$x=31.91782...$

$x\approx32$

4 0

3 years ago

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