Emil is inviting 7 friends to a party. Each friend wants 5 cookies and each box has 12 cookies. How many boxes should Emil get?

Answer:

x=12

Step-by-step explanation:

AB/FE=BC/EC

x/6= 5+5/5

x/6=10/5

x=6(2)

x=12

~

Given:

The height h of an object after t seconds is

[tex]h=-16t^2+48t+210[/tex]

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

[tex]h=-16t^2+48t+210[/tex]

Here, t is the time in seconds.

For t=-2,

[tex]h=-16(2)^2+48(-2)+210[/tex]

[tex]h=-64-96+210[/tex]

[tex]h=50[/tex]

For t=5,

[tex]h=-16(5)^2+48(5)+210[/tex]

[tex]h=-400+240+210[/tex]

[tex]h=50[/tex]

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{PRT}{100}[/tex]

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

[tex]I=12324-12000\\I=324[/tex]

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

[tex]324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%[/tex]

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

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Answer:

free points or nah if not its A

Answer:

-124

Step-by-step explanation:

3x + 2y = 14 (×3) → 9x + 6y = 42

- → x = -18

5x + 3y = 12 (×2) → 10x + 6y = 24

3(-18) + 2y = 14

-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34

5x - y = 5(-18) - 34 = -90 - 34 = -124

Answer:

X=20

24-x=24-20=4

Step-by-step explanation:

First number (greater number)= X=20

Second number = 24-x =24-20=4

The mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

Mean is the ratio of sum of the observations to the total number of observations.

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

For the given case, the data observations are:

3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44 (they are measurement of pounds of trash for specified years(in the problem statement) )

They are total 9 observations.

Their sum is 36.95 approx.

Thus, mean of this data set = sum/number of observations [tex]\approx 36.95/9 \approx 4.1[/tex]

Arranging the data in ascending order gives

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

There are 9 values, therefore, the fifth value would be median as to its left and to its right will lie four-four observations.

Thus, median of the data set = 4.44

Therefore, the mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

Learn more about mean and median here:

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Answer:

[tex]x=12[/tex]

Step-by-step explanation:

This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.

The diagonals in a parralelogram bisect each other.

The diagonals in a rectangle are congruent.

[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]

[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]

Answer:

- 20/21

Step-by-step explanation:

Calculate the product

5/6 x (-8/7)

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-5/6 x 8/7

Reduce the number with the greatest common factor 2

-5/3 x 4/7

Multiply the fractions

-20/21

Solution

-20/21

Alternate form

- 0.952380

Answer

Simplify the expression.

Exact Form:

−20/21

Decimal Form:

−0.952380

Step-by-step explanation:Please mark as brainliest!

I'm not sure if I'm right on this though

Answer:

-4

Step-by-step explanation:

Caution:-

Calculated approximate values as we can't use ruler in screen !

As

#1

Sides are

Perimeter=20in=20(8)=160ft

#2

Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft

#3

Width:-

Answer:

  7) 28.27 cm²

  8) 63.62 ft²

  9) 113.10 in²

Step-by-step explanation:

You want the areas of the circles with the given diameters.

The area formula for a circle is usually written in terms of the radius of the circle. Since the diameter is given, we can rewrite the formula to make use of the diameter:

  A = πr²

  A = π(d/2)² . . . . . . . use d/2 for r

  A = (π/4)d² . . . . . . . collect constants

7) Diameter = 6 cm; Area = (π/4)(6 cm)² = 9π cm² ≈ 28.27 cm²

8) Diameter = 9 ft; Area = (π/4)(9 ft)² = 20.25π ft² ≈ 63.62 ft²

9) Diameter = 12 in; Area = (π/4)(12 in)² = 36π in² ≈ 113.10 in²

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Answer:

20.8

Step-by-step explanation:

Answer:

  1/5³ = 1/125 = 5⁻³

Step-by-step explanation:

It can be useful to remember that an exponent signifies repeated multiplication.

  5^3 = 5×5×5

  5^6 = 5×5×5×5×5×5

Then the ratio is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5\times5\times5}{5\times5\times5\times5\times5\times5}=\dfrac{1}{5\times5\times5}=\boxed{\dfrac{1}{125}}[/tex]

__

If you want to leave this in terms of exponents, you can see that factors in the denominator cancel (subtract from) those in the numerator. That is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-3}}{5^{6-3}}=\dfrac{5^0}{5^3}=\boxed{\dfrac{1}{5^3}}[/tex]

The same sort of exponent arithmetic works to leave a numerator value with a negative exponent:

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-6}}{5^{6-6}}=\dfrac{5^{-3}}{5^0}=\dfrac{5^{-3}}{1}=\boxed{5^{-3}}[/tex]

_____

Additional comment

These ideas are formulated as the rules of exponents:

Answer:

b=8.9m

Step-by-step explanation:

you would need to use Pythagoras theorem

a²+b²=c²

as we know c=9m and a=1.5m we need to find b so you would have to rearrange the equation

b²=c²-a²

b²=9²-1.5²

b²=81-2.25

b²=78.75

b=√78.75

b= 8.9m (1DP)

Answer:

9) 5.8

10) 27.9

11) 37.1

12) 16.8

Step-by-step explanation:

For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).

For 9, you have one side 15 and one angle 21 degrees.  We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"

We then evaluate tan21=x/15.

1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.

2) Use a calculator to get the answer 5.8 (5.7579..)

For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"

We then evaluate cos47=19/x.

1) To get rid of the fraction multiply x on both sides to get x*cos47=19.

2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21

3) Use a calculator to get the answer 27.9 (27.8593...)

For 11, refer to how I did question 9 on how it's tan68 = 15/x.

Then refer to question 10 on what to do if x is the denominator (isolate the x).

You should end up with x=15/tan68 which is 37.1 (37.1263...)

Finally for 12, it's the same but for sine (sin=opp/hyp).

You should get that the opp=15 and hypo=x.

That means sin63=15/x which is then x=15/sin63

Answer is 16.8 (16.834...)

Answer:

[tex]144 \times \pi = 452.38[/tex]

Answer:

144π ft² or approximately 452.16 ft²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.

Approximation of Pi:

In terms of Pi:

Answer:

13/5

Step-by-step explanation:

Multiplying 5 and 2 and adding to 3 will give u the new numerator

Answer:

13/5 or 2.6

Step-by-step explanation:

2 3/5

2×5=10

10 + 3= 13

Put it in top of your original denominator

13/5 or 2.6

Answer:

12.5%

Step-by-step explanation:

40000-35000=5000

5000/40000*100=12.5%

the answer to this question is is 12.5%.

Answer:

Total = m + j

= 3 + m + 21

Step-by-step explanation:

Mails = 3 miles

Jared = 3 miles + 21 miles

j = m + 21

m = 3

Total = m + j

= 3 + m + 21

Where,

m = 3

Total = 3 + m + 21

= 3 + 3 + 21

= 27

850 students so those with no participation would be 12% of 850, which is also 0.12*850. Only one sport would be 0.42*850. Two sports would be 0.28*850. Three or more sports would be 0.18*850.

No participation: 102 students

Only one sport: 357 students

Two Sports: 238 students

Three of more sports: 153 students

Answer:

No Participation: 102 students

Only One Sport: 357 students

Two Sports: 238 students

Three or More Sports: 153 students

Step-by-step explanation:

The percentages represent parts of the total.

To calculate the number of students, we would need to take a percentage of the total.

So for the No Participation group, we would take 12% of 850. "Of" indicates that we would multiply the terms together.

To multiply a %, we first need to convert it to a decimal by moving the decimal point to the left two times.

The No Participation group would then be 0.12 × 850 which equals 102.

The 1 sport group would be 0.42 × 850 = 357

The 2 sport group would be 0.28 × 850 = 238

And the 3+ sport group would be 0.18 × 850 = 153

Answer:

r >3

Step-by-step explanation:

1 + 3r > 10

Subtract 1 from each side

1-1 + 3r > 10-1

3r > 9

Divide by 3

3r/3 > 9/3

r >3

You always have to mutiply the week number by 1.5 to see how many pounds the dog has lost. For example, week 1 = 1*1.5 = 1.5 pounds lost in the first week. You can also divide the pound by 1.5 to get the week number which is what I will be doing. 58 - 40 = 18 pounds minimum to be healthy. 18/1.5 = 12. That means if Jasmin's dog is dieting properly for 12 weeks, she will be healty.    

If she diets more, she will still be healty because you need 40 or less pounds to be healty.

This sentance is extra but why are 0 pounds healthy?

Answer:

m= [tex]-\frac{1}{3}[/tex]

Explanation:

Formula is Y=mx+b

m equals the slope (rise/run each point).

x stays for an ongoing function.

b is the y intersect(You'll see that the line crossed +4 on the vertical line).

Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.

[tex]y=-\frac{1}{3}x+4[/tex]

That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]

Answer:

10/21

It cant be broken down anymore so it is simplified!

Have a great day!!

Please rate and mark brainliest!!

A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.

Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.

A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:

= (Degrees × π) / 180°

For example 60° will be:

= (60° × π) / 180°

= π/3

Therefore, 60° converted to radians is π/3.

Learn more about radian on:

https://brainly.com/question/19758686

Answer:

The answer is H.

SLOPE CAN BE FOUND BY:  Decrease(negative) and rise/run equation.

Y-INTERCEPT CAN BE FOUND BY: where the line touches the y-axis.