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
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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.
The 62.5% in the fraction is .
Given that,
Based on the above information, the calculation is as follows:
Therefore, we can conclude that The 62.5% in the fraction is .
Learn more: brainly.com/question/6201432
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
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:
And now we can solve for c...
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:
And now we can solve for c again...
c = 6.8m
What is the sum written in scientific notation?
The bottle holds 1500 milliliters soda.
We know that, 1 liter = 1000 milliliters
So, to convert something from liter to milliliter, we have to multiply the given value by 1000.
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.
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Answer:
1.5 = 1,500
Step-by-step explanation:
I actually converted 1.5 to milliliters.
That is how I got 1,500.