The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference between the elevations of the town and lake?

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

A world without engines is certainly an appealing idea. Although engines are a vital transportation source that allow us to move around and travel much faster and efficiently, passenger vehicles are a major pollution contributor. they produce large amounts of carbon monoxide, nitrogen oxides, and other forms of pollution. Removing all engines would definitely have downsides, but the significant amount of help it would provide towards lowering pollution rates would be extremely impactful towards our environment and earth. Engines are important parts of human life, and getting things done faster is much more efficient, without engines humans would have to do many things by hand and it would slow production of many things that are necessities. There are also many situations regarding human lives that require the fastest transportation possible, and without engines many things wouldn't get done fast enough. In conclusion, a world without engines would have many benefits towards the environment, however, we've grown to be too dependent on these machines and without them production of many things would start to slow and many trips around the world would be near impossible or extremely delayed.

sorry about it being one big block, wasnt sure how u wanted it to be spaced. hope this helps atleast a little, gl

Answer:5

Step-by-step explanation:

because idrk my teacher just answered this question and i thought i would share :)

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

Answer: n=8

Step-by-step explanation:

1. Subtract 4.4n on both sides:

2n-10=6

2. Add 10 on both sides:

2n=16

3. Divide both sides by 2:

n=8

Have a nice day :D

Answer:

Add 3/4 to both sides (the last option)

Step-by-step explanation:

Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.

Answer:

30

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]

Sorry that's all i know

Answer:

Step-by-step explanation:

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4[tex]y^{2}[/tex] = 6[tex]y^{2}[/tex] - 40

add 40 to both sides and subtract 4[tex]y^{2}[/tex] from both sides: 40 = 2[tex]y^{2}[/tex]

you get: 20 = [tex]y^{2}[/tex]

root square on both sides: [tex]\sqrt{20}[/tex] = [tex]\sqrt{y^{2} }[/tex]

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6[tex]y^{2}[/tex] -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Answer:

Step-by-step explanation:z

Answer:

is there a picture to go with the problem?

Answer:

64 sq in

Step-by-step explanation:

set up a proportion:

12 = 6

16      x

cross-multiply:

12x = 96

x = 8

A = b·h/2

A = 16 x 4

A = 64

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer:1.95

Step-by-step explanation:

Answer: 8 cubes

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length

cube to fit into 1cm will be:

1/(1/8)= 8 cubes

Answer:

C.

Step-by-step explanation:

Answer:

Answer: C. 32/24

Step-by-step explanation:

8 x 4 and 6 x 4

answer: 5b

the exponents basically cancel themselves out. :)

Answer:

5/12x

Step-by-step explanation:

Answer:

.09375 as a fraction is [tex]\frac{3}{32}[/tex]

0.09375 as a fraction in its lowest form is 3/32.

To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.

The decimal number 0.09375 can be written as 9375/100000.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 9375 and 100000 is 3125,

So, we can divide both numbers by 3125:

= 9375 ÷ 3125 / 100000 ÷ 3125

= 3/32

Therefore, 0.09375 as a fraction in its lowest form is 3/32.

Learn more about Fraction here:

https://brainly.com/question/10354322

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Question :

The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you

would pay in New Mexico for an item of cost c?

A. t = 5.125c

B. t = 0.5125c

C. t = 0.05125c

D. t = c = 0.05125

(E. t = 5.025 c

 Answer:

C. t = 0.05125c

Step-by-step explanation:

First we have to understand the meaning of % sign. It is called percent or percentage. Where cent means 100. Now all we know that 100 cents make one dollar, that is why these 100 smaller units are called as cents.

Now if sales tax is 5.125 percent, remember that if there is $100 capital amount, it will be $5.125 tax.

Now how much would it be for $1?

simply, it will be $0.05125

Now for equation in option C

t = 0.05125 x 1

t = 0.05125

here you can see that the equation is satisfied.

So from this we can establish the equation that for any cost, the relation between tax and cost will be:

t = 0.05125c

Answer:

£32 : £96

Step-by-step explanation:

add the parts of the ratio, 1 + 3 = 4 parts

Divide the amount by 4 to find the value of one part of the ratio

£128 ÷ 4 = £32 ← value of 1 part of the ratio, then

3 parts = 3 × £32 = £96

£128 in the ratio 1 : 3 is £32 : £96

The amount, £128 when divided in the ratio 1:3 is; £32: £96.

We are required to divide in the ratio 1:3;

Therefore, we must divide the total by (1+3); so that we have;

Therefore, each unit is £32 and 3× £32 = £96.

The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.

Read more on Ratios;

https://brainly.com/question/13513438

Answer:

8 ounces, which is 0.5 pounds

Step-by-step explanation:

mark me brainlest if im correct

Answer:

40%

Step-by-step explanation:

Tony received a total of 57 votes. There are 95 members. 95 is 100%, 47.5 is 50%. From this we have go on and play with percentage number. Since I don't remember the exact rule or explanation rn. Hope this helped :)

Answer:

60%

Step-by-step explanation:

95x0.6=57

Percentage=60%

Answer:

AAS

Step-by-step explanation:

You can see that two angles and one side are congruent.

Answer:

$1.35

Step-by-step explanation:

Answer:

0.0135

Step-by-step explanation:

Convert  15% to a decimal.

0.15  ⋅  9%

Convert  9% to a decimal.

0.15  ⋅  0.09

Multiply  0.15  by  0.09.

0.0135