Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.

Step-by-step explanation:

o2+a2=h2

100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

→19.7ft

this is an example on how to do it

The value of g in the given right triangle is 13.20 units.

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

Given that, a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm,

We need to find the value of g the hypotenuse,

So, here using the Pythagoras theorem,

f²+h² = g²

Therefore,

11.2²+7² = g²

g² = 174.44

g = 13.20

Hence, the value of g in the given right triangle is 13.20 units.

Learn more about Pythagoras theorem, click;

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24 ÷ 8 = 3

3 × 3 = 9 ft

that's all

Answer:

Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.

Step-by-step explanation:

Boba Club: y=2x+4

Jack's Boba: y=3x

Replace the X variable with 7 for both equations. For Boba Club, multiply 2 by seven to get 14, then add four to get 18. For Jack's Boba, multiply 3 and 7 to get 21. Boba Club is cheaper. (What would you need 7 Boba drinks for though?)

Answer:

Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.

Step-by-step explanation:

Answer: (9,-3)

x=9 y=-3

Answer:

Step-by-step explanation:

Let the number of ounces of

A = x

B = y

A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Our system of equations is given as

x + y = 90.... Equation 1

x = 90 - y

40% × x + 55% × y = 45% × 90 ounces

0.4x + 0.55y = 40.5....Equation 2

We substitute 90 - y for x in Equation 2

Step-by-step explanation:

2/3=4/6

1/2=3/6

3/6+4/6=7/6

2-1 1/6= 5/6

so the answer is 5/6 the decimal form is .83333333.......

Answer:

$15.27

Step-by-step explanation:

Answer:

$75.00

Step-by-step explanation:

Answer:

B' has a coordinate pair of (-4, -1)

Step-by-step explanation:

We are given with the vertices of the triangle with B(-8,-2)

Please remember the rule of dilation

If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)

Using this concept, we know scale factor is [tex]\frac{1}{2}[/tex] , we could get image as [tex](\frac{1}{2} (-8), \frac{1}{2} (-2))[/tex]

Let's simplify it

We do get (-4,-1)

Answer:

he made in one day is $77

Step-by-step explanation:

Given that

Philip made $1,155 in 15 days

Now based on the above information

The amount he make in one day is shown below:

= $1,155 ÷ 15 days

= $77

hence he made in one day is $77

The same would be relevant

Answer:

n = 12

Step-by-step explanation:

By applying geometric mean theorem in the given right angle triangle,

[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]

BD² = AD × DC

Now substitute the values of each side given,

n² = 6 × 24

n² = 144

n = 12

Answer:

46

Step-by-step explanation:

let that number x

so [tex]\frac{23}{50} =\frac{x}{100}[/tex]

I do cross multiplication so 23*100=2300 and 50*x=50x

so 50x=2300 divide both by 50

x=46

Answer:

46

Step-by-step explanation:

since 100 is 50×2 you just do the same thing to 23 and multiply it by 2.

Answer:

1: 1/2

2: 6

3: 2

4: -4

Step-by-step explanation:

I'm smart give me brainliest

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Here's the answer.

PLEASE FOLLOW ME!

Answer:

Step-by-step explanation:

0<1/5<1/2

So it is possible but unlikely

C. Unlikely

Answer:

the person above is right

Step-by-step explanation:

the answer is unlikely

Answer:

1/16

Step-by-step explanation:

1²/4² equals 1/16.

Answer:

208 meters

Step-by-step explanation:

Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

tan θ = Opposite/Adjacent

θ = Angle of depression

Adjacent = Horizontal distance = 130 meters

Opposite = Vertical distance = x

θ = 58°

tan 58 = x/130 meters

Cross Multiply

x = tan 58 × 130 meters

x = 208.04348878 meters

Approximately = 208 meters

Therefore, the vertical distance it travelled is 208 meters

Answer:

The Answer Is X 9, Aka C, I just got it correct

9514 1404 393

Answer:

  (a)  1 and 3; 2 and 4

Step-by-step explanation:

In this figure, adjacent angles are linear pairs, so are supplementary. The only angles that are not are the vertical angles.

  1 & 3, 2 & 4 are not supplementary

Answer: Its D

Step-by-step explanation:

Answer:

Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32

Step-by-step explanation:

1(tomio) x 11 = 11 (alvin) (add 21 to these)

22+32=54

hope that makes sense

Answer:

The solution to the inequality is 0.

Answer:

7,5,3,1

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

If   X - 9 = 21,   then 21 + 9 = X.

21 + 9 = 30  

Answer:

x=30 (think about the opposite way to do it, 21+9)

Step-by-step explanation:

30-9=21 soo yea

Answer:1/2 - 1/3 = 1/6

Step-by-step explanation:

Answer: 1/6 or 0.16

Step-by-step explanation: hope this helps!

Answer:

2.6

Step-by-step explanation:

Metropolis gets 5.8 inches of rain in October

4.2 inches of rain is seen in November

Therefore the amount that would be seen in December can be calculated as follows

= 5.8-4.2

= 1.6

4.2-1.6

= 2.6

Hence 2.6 inches of rain would be seen in December

Answer:

96 cm

Step-by-step explanation:

Multiply 6x4x4=96

Answer:

y=1/4x + 3

Step-by-step explanation:

We know that the beginning of the equation has to be 1/4x since the line has to be parallel. So what I did was start at -4,2 then go up 1 and over 4, which led me to 3 as the y intercept.

I attached a photo. Not sure if it makes sense but I tried my best.

Answer:

7.5 years.

Step-by-step explanation:

Use A = 1400(1+0.02)^7.5

The 1400 is the starting money. The 1 is a constant. The 0.02 is the 2% in decimal form. And the 7.5 is years. I found that by just continually increasing it until it hit 1624.

Hope this helps