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yarga [219]
3 years ago
6

1/3(33x +15) - 1/3 ( 21x +18) =10

Mathematics
1 answer:
inn [45]3 years ago
7 0
          ¹/₃(33x + 15) - ¹/₃(21x + 18) = 10
¹/₃(33x) + ¹/₃(15) - ¹/₃(21x) - ¹/₃(18) = 10
                             11x + 5 - 7x - 6 = 10
                             11x - 7x + 5 - 6 = 10
                                            4x - 1 = 10
                                                + 1   + 1
                                                 4x = 11
                                                  4      4
                                                   x = 3³/₄
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Ryan is helping his fellow students build a float for a parade. They need to create a giant spoon for their float. They base the
nadezda [96]
7.25*2=14.5

If each inch equals 2 feet you just need to multiply by the factor of (2)
3 0
3 years ago
a cleaning service charges an hourly rate plus a flat fee of $15 for supplies. philip uses the service for 3.5 hours for his spr
Sergeu [11.5K]

Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for x \geq 0, such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

y = mx + 15

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

y = mx + 15

232 = 3.5m + 15

m = \frac{232 - 15}{3.5}

Hence, the correct option is:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

You can learn more about linear function concepts at brainly.com/question/24808124

7 0
2 years ago
Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitatio
lisabon 2012 [21]

Answer:

The first listed equation is the correct equation to solve

The correct answer is: t = 5 seconds

Step-by-step explanation:

Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

y(t)=-16\,t^2+ 0 \,t +400

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0

which solving for "t" becomes:

16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.

That is: t = 5 seconds

6 0
3 years ago
BRANLIEST TO FIRST CORRECT ANSWER:
Nuetrik [128]
It would be...C?? I'm not sure but I think it's right. Brainliest?
8 0
3 years ago
Which expression represents four less than half a number, n? (show your work)
ikadub [295]
The answer is 1/2n-4

Multiplying a number n by 1/2 is the same as dividing that number by 2.
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