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3 years ago

Simplify 7x + 2 - 3x, if x = 8

Mathematics

2 answers:

KIM [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Phoenix [80]3 years ago

6 0

Answer:

Step-by-step explanation:

(7*8)+2-(3*8)

=34

....

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A tennis ball has a diameter of 2.7 inches. The tennis coach wants to fill her storage shed with tennis balls. If the storage sh

Oksanka [162]

Given that,

The diameter of a tennis ball, d = 2.7 inches

Radius, r = 1.35 inches

The dimensions of the storage shed is 14 feet wide, 15 feet long, and 10 feet high.

Volume of the shed is, V = lbh

$V=14\times 15\times 10\\\\V=2100\ \text{feet}^3$

We can convert radius from inches to feet :

1 foot = 12 inches

Radius, r = 0.1125 feet

Let there are x number of tennis balls that can fit in the shed. So,

$x\times V_b=V_s\\\\\text{Where}\ V_b\ \text{and}\ V_s\ \text{volume of ball and shed}\\\\x=\dfrac{V_s}{\dfrac{4}{3}\pi r^3}\\\\x=\dfrac{2100}{\dfrac{4}{3}\pi \times (0.1125)^3}$

x = 352105.75 balls

x = 352106 balls

Hence, 352106 balls can fit in the storage shed.

5 0

4 years ago

Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio

arlik [135]

Answer: For $m\geq15$

$\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5$

Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

$y=4+0.75(m-5)$ such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For $m\geq15$

$\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5$

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

7 0

3 years ago

Read 2 more answers

NO LINKS PLEASE!!!!! i GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY!!!

iris [78.8K]

Answer:(-1,2)

Step-by-step explanation:

5 0

3 years ago

A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is $9000 ft^2$ then $9000=xy$

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

$& 9000=xy$

$& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\$

On taking the first order derivative of A

$A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)$

$& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\$