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steposvetlana [31]
3 years ago
8

What would the world problem " the quotient of a number decreased by 7 and negative 2 is negative 10 " be as an equation?

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

\frac{x-7}{-2}=-10

Explanation:

A quotient of two numbers is a fraction with the first number being in the numerator (top) and the other number in the denominator (bottom). The statement calls for a "number" decreased by 7. That number is unknown but we have to give it a name, so, for example, "x." Therefore (x-7) is in the numerator. Negative 2, or -2 is "the other number" of the quotient and so it is in the denominator. Finally, the quotient is supposed to equal negative 10, or "=-10" which is the right-hand side, completing the equation.

For your interest, if you solve the equation, you will get x = 27, and you can check that the equation holds. "27 decreased by 7, divided by -2 equals -10."

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The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the
xxMikexx [17]

Answer:

Y=s^2/36 and y=5.7;14.3 ft

Step-by-step explanation:

The question was not typed correctly. Here, a better version:

<em>The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane for a standard wing area, the function A(s)=s^2/36 can be used to find the aspect ratio depending on the wingspan in feet. If one glider has an aspect ratio of 5.7, which system of equations and solution can be used to represent the wingspan of the glider? Round solution to the nearest tenth if necessary.  </em>

<em> </em>

<em>Y=s^2/36 and y=5.7;14.3 ft </em>

<em>Y=5.7s^2 and y=36; s=2.5ft </em>

<em>Y=36s^2 and y=0; s=0.4 ft </em>

<em>Y=s^2/36 +5.7 and y=0; s=5.5 ft</em>

In the function A(s)=s^2/36 A(s) represents the aspect ratio and s the wingspan. If one glider has an aspect ratio of 5.7, then A(s) = 5.7. We want to know the wingspan of the glider. Replacing A(s) by Y we get the following system of equation:

Y=s^2/36    

with y = 5.7

5.7 = s^2/36    

5.7*36 =  s^2

√205.2 = s

14.3 ft

7 0
4 years ago
Read 2 more answers
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 75.36 inches. What is t
Nesterboy [21]
     The area of the circular shaped rug would be 451.931, let me explain to you how I got this calculation.
     
     First thing you have to do is know the formula to find the area of a circle. The formula is A=pie x Rsquared, but when you look at the information provided, you dont have the radius, so you have to find it yourself. 
 
    You probably noticed that since diameter is twice the radius, the proportion between circumference and diameter is equal to π: <span>C/D = 2πR / 2R = π is the formula for the convertion of circumfrence to diameter.
</span> 
     Once you find the diameter, which should be rounded to 23.98, you will need to divide it by 2 for the radius which should give you approximatly 11.99. 
 
     Finally, you do the regular formula to find area which is A=pie x Rsquared. so you do 3.14 x (11.99 x 11.99)=451.931in.




8 0
4 years ago
If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *
den301095 [7]
$2 can get you one candy bar. So if you want 6 it would cost $12
8 0
3 years ago
The sum of 7 and the cube of a number
REY [17]

Answer:

1.99

Step-by-step explanation:

3 0
3 years ago
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Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
Katena32 [7]

Given :-

  • y varies directly as x, and y=14 when x=4.

To Find :-

  • the value of y when x=9 .

Solution :-

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>,</u>

  • y = kx ( k is constant )

<u>When</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>4</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>,</u>

  • 14 = k(4)
  • k = 14/4
  • k = 7/2

<u>W</u><u>h</u><u>e</u><u>n</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>,</u>

  • y = 7/2*9
  • y = 63/2
  • y = 31.5
8 0
3 years ago
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