A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy? 15 s less-than 200 15 s greater-than 200 15 s less-than-or-equal-to 200 15 s greater-than-or-equal-to 200

Answer:

H=14.25 yd

Step-by-step explanation:

Answer:

x = 14√3

y = 7√3

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{21}{x}[/tex]

x = [tex]\frac{42}{\sqrt{3}}[/tex]

x = 14√3

By applying cosine rule in the given triangle,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

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

[tex]\frac{1}{2}=\frac{y}{14\sqrt{3}}[/tex]

y = 7√3

Answer:

Joe's present age = 36 years

Vika's present age = 20 years

Step-by-step explanation:

Let us represent the present age of

Joe = x

Vika = y

Joe's age exceeds by Vika's age by 16 years.

x = y + 16...... Equation 1

Four years ago, Joe was twice as old as Vika.

x - 4 = 2(y - 4)

x - 4 = 2y - 8........ Equation 2

We substitute y + 16 for x

y + 16 - 4 = 2y - 8

Collect like terms

16 - 4 + 8 = 2y - y

y = 20 years

We solve for x

x = y + 16...... Equation 1

x = 20 + 16

x = 36 years

Therefore, Joe's present age = 36 years

Vika's present age = 20 years

Answer: 27.625 fl oz

Step-by-step explanation:

8.25*3.5= 27.625 fl oz

Answer:

15

Step-by-step explanation:

As we can see, we have the total ratio as;

5 + 2 + 1 = 8

Total of NQ is 24

The ratio accorded to NO is 5

so we have the length of NO as;

5/8 * 24 = 15

Answer:

Step-by-step explanation:

If the z statistic does not lie within the critical region, you cannot reject the null hypothesis but neither can you necessarily accept it.  

What you can do is reject the alternate hypothesis.

The valid conclusion based on the given results is; One can reject the alternate hypothesis.

We are told that;

z-statistic = 2.1

Now, the critical z-values were -1.96 and 1.96

Since our z-statistic does not lie within the critical values region, it means that there is not enough evidence to reject the null hypothesis at the given significance level. However, it means that we can reject the alternate hypothesis.

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Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

Answer:

3, -3

Step-by-step explanation:

3 has an absolute value of 3 because it is 3 units away from zero.

-3 has an absolute value of 3 because it is 3 units away from zero.

I hope this helps!!

Answer:

this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.

Step-by-step explanation:

Answer:23

Step-by-step explanation:

Answer: 0.45

Step-by-step explanation:

Answer:

1. Planets

2.mechanical

3.Tests

4.9.4605284e15 meters

Answer:

1: Moons, planets, nebulae, and star clusters

2: heat and kinetic

3: They look for the mass in the universe and try to discover what created it.

4: The distance that light travels in a year

5: It is the range of all EM Radiation and it measure the waves of energy

6: It is a tool that astronomers use to classify stars

7: There is usually a bunch of stars in one place which creates a star cluster.

8: The Sun is a small star compared to all of the other massive stars

9: Blue-White

10: Super-giants

Step-by-step explanation:

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.

Answer:

C. 215.12 feet per second

Step-by-step explanation:

Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.

How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?

From the above question

1 mile = 5280 feet

1 hour = 60 minutes

1 minutes = 60 seconds

1 hour = 60 × 60 seconds = 3600 seconds

We are to convert 146.67 miles per hour = feet per second

Hence:

146.67 miles /1 ft × 5280 feet/1 miles × 1 hr/3600 seconds

= 146.67 × 5280 feet/3600 seconds

= 774417.6 feet / 3600 seconds

= 215.116 feet per second.

Approximately = 215.12 feet per second

Option C is correct

Answer:

75+3x=180

Step-by-step explanation:

Answer:

75 + 3x = 180

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

45 + 30 + 3x = 180

75 + 3x = 180

Answer:

its c

Step-by-step explanation:

here are the answers:

#1

#2=11

#3=-2

#4=70

Answer:

2262 in³

Step-by-step explanation:

Given that:

Height, h = 20 inches

Radius, r = 6 inches

Volume of a cylinder is given as :

V = πr²h

V = π * 6² * 20

V = π * 36 * 20

V = 2261.9467 in³

Hence, Nicholas pot can hold about 2262 in³ of soup

Answer:H

Step-by-step explanation:

The distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.

An arc is a smooth curve that joins two endpoints. The arc is mostly referred to as a part of the circle.

As it is given that the length of the hand of the clock is 10 cm, and the movement of the hand of the clock is from 12 to 3 therefore, the movement is about 90°.

Now, if we see the movement of the hand of the clock it will be along the arc of the circle, therefore, the length of the arc with a radius of 10 cm and angle of 90° can be written as,

[tex]\text{Length of the arc} = 2\pi r \times \dfrac{\theta}{360^o}[/tex]

                            [tex]= 2 \times \pi \times 10 \times\dfrac{90}{360}\\\\= 2 \times \pi \times 10 \times\dfrac{1}{4}\\\\= 15.7143\rm\ cm[/tex]

Hence, the distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.

Learn more about Arc:

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Answer:

The rhombus because is the same shape

Answer:

Well, seems this'll be a long answer... *ahem*

So, the properties of a Kite are that they have

-Two pairs of consecutive sides

-No opposite sides

-Perpendicular diagonals

-One set of equal angles

The properties of a Trapezoid are that

-It has exactly 1 pair of opposite sides parallel

-It has congruent lower base angles

-Congruent upper base angles (both of these apply only if isosceles)

-Any lower base angle is supplementary to any upper base angle (applies to all)

The properties of a Square are that it has:

-Parallel opposite sides

-Congruent opposite sides

-Congruent opposite angles

-Bisecting diagonals

-Congruent diagonals

-Perpendicular diagonals

-All sides are congruent

-Consecutive angles are supplementary

-Contains four right angles

The properties of a Parallelogram are

-Parallel opposite sides

-Congruent opposite sides

-Congruent opposite angles

-Bisecting diagonals

-Consecutive angles are supplementary

The properties of a Rectangle are

-Consecutive angles are supplementary

-Contains four right angles

-Has all the properties of a parallelogram

The properties of a Rhombus are

-Has all the properties of a parallelogram

-Four sides are equal in length

-Diagonals are perpendicular

-Diagonals bisect each pair of opposite angles

Step-by-step explanation:

Hope you have a wonderful day, and also that this helped! (Even though I know it's quite long) :D

Answer:3.5

Step-by-step explanation: quick maths

Answer:

y=6/7x

Step-by-step explanation:

You need to find the slope.  The rise is 18 and the run is 21.  18/21 simplifies to 6/7

Hey there!

The answer is 13 boys and 16 girls.

We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:

(x + 3) + x = 29

NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:

x + 3 + x = 29

Add like terms:

2x + 3 = 29

Subtract 3 from both sides:

2x = 26

Divide both sides by 2:

x = 13

Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.

Have a terrificly amazing day! :D

Answer:

part a is infinite Part b is number 3

Step-by-step explanation:

Answer:

P=32

Step-by-step explanation:

Answer:

its 12

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

Hello There!

The first thing we want to do is find the measure of arc AD

remember the circumference of a circle in degrees is 360

so to find the measure of arc AD we subtract the given arc measures (97 and 112) from 360

360 - 112 - 97 = 151

so arc AD = 151

now to find x

if you didnt know an included angle formed by tangent lines is equal to one half of its major arc minus its minor arc

For this problem to be more specific ∠B = 1 half of (arc AD - arc AC)

Now what we want to do is plug in the known information and solve for angle B

∠B = 1/2 ( 151 - 97 )

151 - 97 =54

54/2=27

so we can conclude that x = 27

Answer:

I think the answer is 742,000,000

Step-by-step explanation:

The approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

According to the question

A small dog’s heart beats about during its lifetime = 530,000,000 times

A large dog’s heart beats about 1.4 times this amount.

i.e A large dog’s heart beats about during its lifetime = 530,000,000 *1.4  times

                                                                                     =  742,000,000 times

Hence, the approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.

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#SPJ2

Answer:

1. =−2

2.

3.

4. a=1

5. x=-1/2

6. x=4.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

100 G

1 L

4 Kg

40 ML

Answer:

100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream

Step-by-step explanation:

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