A climbing gym charges $10 to climb each day.A pair. of climbing charges shoes cost $84.It costs $169 to buy 6 days of climbing,one pair of climbing shoes,and one harness.How much does a harness cost? WRITE AN EQUATION FOR EACH PROBLEM. USE A VARIABLE FOR THE UNKNOWN NUMBER. SOLVE.

Answers

Answer 1
Answer:

The equation representing the given problem is:

6x   +  y  +  z  =   169

A harness costs $25

Let the charge for 1 day of climbing be represented by x

x  =  $10

Let the price of 1 pair of climbing shoes be represented by y

y  =  $84

Let the price of 1 harness be represented by z

It costs $169 to buy 6 days of climbing, one pair of climbing shoes, and one harness

Total cost  =  $169

The equation representing the given scenario is:

6x   +  y  +  z  =   169

To find the value of z, substitute x = 10 and y = 84 into the equation

6(10)  +  84  +  z  =  169

60  +  84  +  z  =  169

144  +  z  =  169

z  =  169  -  144

z   =  25

Therefore, a harness costs $25

Learn more here: brainly.com/question/779198

Answer 2
Answer:

The correct answer is:

The harness is $25.

Explanation:

Let x represent the cost of the harness.

Each day of climbing is $10. This means 6 days of climbing is represented with 10(6). The shoes are $84. This makes our expression 10(6)+84. Adding the harness, x, to that, our total comes to $169. This gives us the equation

10(6)+84+x = 169

Simplifying the left hand side, we have

60+84+x = 169

Combining like terms, we have

144+x = 169

Subtract 144 from each side:

144+x-144 = 169-144

x = 25

The harness is $25.


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What is 3/5 of 6,000

What is 62 1/2% as fraction

Answers

The 62.5% in the fraction is (5)/(8).

Given that,

  • The given number is 62.5%.
  • We need to transform it in the fraction form.

Based on the above information, the calculation is as follows:

= 62.5\n\n=62.5/ 100\n\n=625/ 1000\n\n=25/ 40\n\n=5/ 8

Therefore, we can conclude that The 62.5% in the fraction is (5)/(8).

Learn more: brainly.com/question/6201432

percent means parts out of 100
1/2=0.5
62 and 1/2=62.5
62.5=62.5/100=625/1000=25/40=5/8

it is 5/8 as a fraction

How do I identify a standard form and vertex form in a quadratic equation?

Answers

Answer:

the standard form of a quadratic equation is ax² + bx + c

the vertex form is a(x - h) + k where h & k are the x and y coordinates

to get from standard form to vertex form, you would have to follow this formula to find h:

-b/2a

plug in the values, and you will get the value of h.

to get k, you plug in the value you have just found in the above formula into the original equation, and that is the value of k.

the a in the vertex form is the value of a in the standard form

so an example of this would be: x² + 2x + 4 where a = 1, b = 2 c = 4

to get this into vertex form we will use the formula -b/2a and solve:

-2/2(1) --> -2/2 = -1

now we plug in the value we found into the original equation wherever x is

(-1)² + 2(-1) + 4 --> 1 - 2 + 4 = 3

we have both h and k, and we will put this into vertex form:

a(x - h)² + k turns into ---> (x + 1)² + 3

why x+1 and not x-1? the original equation has a negative sign, and the result we have is negative. this conflicts with the original equation and is therefore turned into a positive 1

where did a go? since a = 1, we do not need to write it, if a was equal to 2 then we would write the 2 in front

A room is 5m by 3m and has a height of 3.5m. Find the distance from a comer point on the floor to the opposite comer of the ceiling.

Answers

Answer:

Approximately 6.8m

Step-by-step explanation:

We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:

5^(2)+3^(2)=c^(2)

And now we can solve for c...

34 = c^(2)

√(34)=\sqrt{c^(2)}

c = 5.831m

Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:

5.831^(2) + 3.5^(2)=c^(2)

And now we can solve for c again...

46.25=c^(2)\n√(46.25)=√(c^2)

c = 6.8m

Amanda is adding the numbers below.3.7 x  10^(20) + 4.45 x  10^(20)

What is the sum written in scientific notation?

Answers

Basically what you do is                             (the ^ arrow meaning exponent)
You take 3.7 + 4.45 x 10^20
Then 8.15 x 10^20, remove the decimal of 8.15 = 815 x 10^-2 x 10^20
815 x 10^18 = 815000000000000000000

A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?

Answers

The bottle holds 1500 milliliters soda.

How to convert liter to milliliter ?

We know that, 1 liter = 1000 milliliters

So, to convert something from liter to milliliter, we have to multiply the given value by 1000.

What is the required value ?

Given, the bottle of soda holds 1.5 liters of soda.

So, we have to multiply 1000 with that to get the required value.

∴ 1.5 liters = (1.5 × 1000) milliliters

                 = 1500 milliliters

The required quantity of soda is 1500 milliliters.

Learn more about liter convertion here :

brainly.com/question/16414704

#SPJ2

Answer:

1.5 = 1,500

Step-by-step explanation:

I actually converted 1.5 to milliliters.

That is how I got 1,500.

Order the following from least to greatest -8,-19,0,1/2,1/4

Answers

Obviously 0, 1/4 and 1/2 are bigger than the previous 2 numbers.  We start with -19 because that is the smallest number there is in this group.  The next one we go with is -8.  We chose these two because they are negative.  0, 1/4 and 1/2 are next. 1/4=0.25 1/2=0.5

So the answer would be -19, -8, 0, 1/4, 1/2